
Time bar (total: 10.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 0 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 1 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 2 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 3 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 4 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 5 |
| 0% | 0% | 0% | 100% | 0% | 0% | 0% | 6 |
| 6.8% | 0% | 0% | 100% | 0% | 0% | 0% | 7 |
| 15.9% | 0% | 0% | 100% | 0% | 0% | 0% | 8 |
| 23.1% | 0% | 0% | 100% | 0% | 0% | 0% | 9 |
| 36.5% | 0% | 0% | 100% | 0% | 0% | 0% | 10 |
| 45.4% | 0% | 0% | 100% | 0% | 0% | 0% | 11 |
| 52.3% | 0% | 0% | 100% | 0% | 0% | 0% | 12 |
Compiled 41 to 26 computations (36.6% saved)
| 1.5s | 6 700× | 1 | valid |
| 166.0ms | 1 556× | 0 | valid |
| 149.0ms | 1 147× | 0 | invalid |
ival-<: 392.0ms (26.5% of total)ival-mult: 239.0ms (16.1% of total)adjust: 179.0ms (12.1% of total)const: 165.0ms (11.1% of total)ival-sqrt: 116.0ms (7.8% of total)ival-div: 113.0ms (7.6% of total)ival-add: 88.0ms (5.9% of total)ival-sub: 86.0ms (5.8% of total)ival-neg: 54.0ms (3.6% of total)ival-and: 35.0ms (2.4% of total)exact: 10.0ms (0.7% of total)ival-assert: 3.0ms (0.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 252 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) a) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | cancellation | 252 | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 252 | 0 |
| - | 0 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 252 | 0 | 0 |
| - | 0 | 1 | 3 |
| number | freq |
|---|---|
| 0 | 4 |
| 1 | 252 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 70.0ms | 418× | 1 | valid |
| 8.0ms | 94× | 0 | valid |
Compiled 153 to 40 computations (73.9% saved)
ival-mult: 12.0ms (25.7% of total)adjust: 7.0ms (15% of total)ival-sub: 7.0ms (15% of total)ival-sqrt: 7.0ms (15% of total)ival-div: 6.0ms (12.8% of total)ival-add: 4.0ms (8.6% of total)ival-neg: 2.0ms (4.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 158 |
| 1 | 152 | 144 |
| 2 | 433 | 144 |
| 3 | 1182 | 144 |
| 4 | 3216 | 144 |
| 5 | 6176 | 144 |
| 0 | 12 | 17 |
| 0 | 20 | 17 |
| 1 | 36 | 16 |
| 2 | 73 | 16 |
| 3 | 156 | 16 |
| 4 | 236 | 16 |
| 5 | 374 | 16 |
| 6 | 653 | 16 |
| 7 | 1117 | 16 |
| 8 | 2300 | 16 |
| 9 | 2599 | 16 |
| 10 | 2713 | 16 |
| 11 | 2768 | 16 |
| 12 | 2769 | 16 |
| 13 | 2769 | 16 |
| 0 | 2769 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
Compiled 17 to 12 computations (29.4% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 17.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 1 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| cost-diff | 1 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 66 |
| 0 | 20 | 66 |
| 1 | 36 | 64 |
| 2 | 73 | 64 |
| 3 | 156 | 64 |
| 4 | 236 | 64 |
| 5 | 374 | 64 |
| 6 | 653 | 64 |
| 7 | 1117 | 64 |
| 8 | 2300 | 64 |
| 9 | 2599 | 64 |
| 10 | 2713 | 64 |
| 11 | 2768 | 64 |
| 12 | 2769 | 64 |
| 13 | 2769 | 64 |
| 0 | 2769 | 60 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
a |
c |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0546875 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| accuracy | 0.33984375 | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | |
| accuracy | 0.40853500976844204 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 52.6084092037969 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 40.0ms | 209× | 1 | valid |
| 4.0ms | 47× | 0 | valid |
Compiled 68 to 14 computations (79.4% saved)
ival-mult: 12.0ms (42.1% of total)adjust: 4.0ms (14% of total)ival-div: 3.0ms (10.5% of total)ival-sqrt: 3.0ms (10.5% of total)ival-add: 2.0ms (7% of total)ival-sub: 2.0ms (7% of total)ival-neg: 1.0ms (3.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| Outputs |
|---|
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 3 (* a c)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(- (pow b 2) (* 3 (* a c))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1 b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | c | @ | 0 | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c)) |
| 3.0ms | a | @ | -inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c)) |
| 2.0ms | b | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c)) |
| 2.0ms | a | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c)) |
| 2.0ms | a | @ | 0 | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (* (* 3 a) c)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 470 | 1972 |
| 1 | 1445 | 1955 |
| 2 | 4940 | 1932 |
| 0 | 8189 | 1837 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 3 (* a c)) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(- (pow b 2) (* 3 (* a c))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1 b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
| Outputs |
|---|
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -27/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(* 3 (* a c)) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a))) a) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)))) a) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 b)) a))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) a) b) a))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) #s(literal -1/3 binary64)) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 a))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))) (neg.f64 a))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b)) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) #s(literal -1 binary64)) b (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/24 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64))) b #s(literal -1 binary64)) b (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))) |
(- (pow b 2) (* 3 (* a c))) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 #s(literal -1/3 binary64) a)) b)) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64))) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/6 binary64))) b (/.f64 #s(literal -1/3 binary64) a)) b (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)))) |
(* -1 b) |
(neg.f64 b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (fma.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/16 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (fma.f64 (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))))) b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 c a) b) b) #s(literal -3 binary64) #s(literal 1 binary64)) b) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)))) b) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 (*.f64 c a) b) b) #s(literal -3/2 binary64) #s(literal 2 binary64))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 c a) b) b) #s(literal -3/2 binary64) #s(literal 2 binary64)))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (neg.f64 b) (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/8 binary64) (fma.f64 (/.f64 (/.f64 (*.f64 c a) b) b) #s(literal -3/2 binary64) #s(literal 2 binary64))))) |
(* -2/3 (/ b a)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 c b) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(*.f64 (neg.f64 b) (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 c b) (fma.f64 (*.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 4 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal 2/3 binary64) a))))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 c #s(literal -9/8 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c))) c) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)))) c) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/3 binary64))) c) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/3 binary64)))) c) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(*.f64 (fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b c) a) #s(literal -1/3 binary64))))) c) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 b)) c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)))) c) b) c))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b c) a)) #s(literal -1/3 binary64)) c) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (/.f64 (fma.f64 #s(literal -1/72 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))))) (neg.f64 c))) c) c (*.f64 (*.f64 c (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 46 |
| 0 | 20 | 46 |
| 1 | 71 | 44 |
| 2 | 525 | 43 |
| 3 | 6871 | 43 |
| 0 | 8160 | 40 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) |
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 2 binary64))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3 binary64))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 9/2 binary64)) (pow.f64 b #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) (fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (fma.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 #s(literal 0 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) |
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 9/2 binary64)) (pow.f64 b #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) b) (*.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) (*.f64 b b))) (*.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) b)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (*.f64 b b)) (*.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (*.f64 #s(literal -3 binary64) a) c)) (*.f64 b b))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) |
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(-.f64 (/.f64 (*.f64 b b) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal -3 binary64) a)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 a #s(literal 3 binary64))) (/.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 a #s(literal 3 binary64))) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(-.f64 #s(literal 0 binary64) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (/.f64 #s(literal 1/3 binary64) a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (*.f64 b (/.f64 #s(literal 1/3 binary64) a))) |
(+.f64 (*.f64 b (/.f64 #s(literal 1/3 binary64) a)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 #s(literal 1/3 binary64) a) b)) |
(+.f64 (*.f64 (/.f64 #s(literal 1/3 binary64) a) b) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) b) |
(*.f64 #s(literal 1 binary64) b) |
(*.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b))) |
(*.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b)) |
(*.f64 b #s(literal -1 binary64)) |
(*.f64 b #s(literal 1 binary64)) |
(pow.f64 b #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 b (*.f64 b b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b b) (pow.f64 b #s(literal 3 binary64)))) |
(/.f64 (pow.f64 b #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b b) #s(literal 0 binary64)))) |
(/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 b b)) |
(/.f64 (*.f64 b b) b) |
(neg.f64 b) |
(fma.f64 (pow.f64 b #s(literal 1/2 binary64)) (pow.f64 b #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) b #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) b #s(literal 0 binary64)) |
(fma.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b b)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b b) (/.f64 #s(literal 1 binary64) b) #s(literal 0 binary64)) |
(fma.f64 b #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 b #s(literal 1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) b) b) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b b)) b) |
(-.f64 #s(literal 0 binary64) b) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 1 binary64))) |
(+.f64 #s(literal 0 binary64) b) |
(+.f64 b #s(literal 0 binary64)) |
b |
(*.f64 (*.f64 c #s(literal 3 binary64)) a) |
(*.f64 (*.f64 c a) #s(literal 3 binary64)) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(*.f64 (*.f64 a #s(literal 3 binary64)) c) |
(*.f64 a (*.f64 c #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) (*.f64 c a)) |
Compiled 16 757 to 1 924 computations (88.5% saved)
26 alts after pruning (26 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 453 | 26 | 479 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 454 | 26 | 480 |
| Status | Accuracy | Program |
|---|---|---|
| 17.3% | (/.f64 (/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 17.6% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| ▶ | 17.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 17.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 15.2% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) a)) | |
| 17.6% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) | |
| ▶ | 95.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
| 97.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 95.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) | |
| 90.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 17.6% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 17.3% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) | |
| 17.6% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 17.6% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 17.6% | (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) | |
| 15.2% | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) | |
| ▶ | 98.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
| 97.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| 96.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| 97.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) | |
| 96.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 98.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)))) b)) | |
| 98.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) (/.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ▶ | 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
| 95.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| ▶ | 90.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
Compiled 1 762 to 1 170 computations (33.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) | |
| cost-diff | 0 | (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| cost-diff | 2 | (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 4 | (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 1 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| cost-diff | 2 | (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) | |
| cost-diff | 2 | (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) | |
| cost-diff | 2 | (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 651 |
| 0 | 124 | 651 |
| 1 | 213 | 639 |
| 2 | 465 | 631 |
| 3 | 1279 | 617 |
| 4 | 2991 | 607 |
| 5 | 4136 | 607 |
| 6 | 4704 | 607 |
| 7 | 5537 | 607 |
| 0 | 8751 | 593 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 #s(literal -1/6 binary64) a) |
#s(literal -1/6 binary64) |
a |
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
b |
#s(literal 6 binary64) |
(/.f64 #s(literal 405/64 binary64) b) |
#s(literal 405/64 binary64) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) |
#s(literal -9/16 binary64) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
#s(literal -3/8 binary64) |
(*.f64 c c) |
(pow.f64 b #s(literal 3 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
#s(literal -1/2 binary64) |
(/.f64 c b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
#s(literal -1/2 binary64) |
(/.f64 c b) |
c |
b |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) |
(fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
a |
c |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) |
(*.f64 (*.f64 c c) #s(literal -9/8 binary64)) |
(*.f64 c c) |
c |
#s(literal -9/8 binary64) |
b |
(/.f64 (*.f64 a a) b) |
(*.f64 a a) |
a |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(*.f64 c a) |
#s(literal -3/2 binary64) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) |
(fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) |
(*.f64 c #s(literal -9/16 binary64)) |
c |
#s(literal -9/16 binary64) |
(*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) |
a |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(pow.f64 b #s(literal 5 binary64)) |
b |
#s(literal 5 binary64) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -3/8 binary64) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) a) c (/.f64 #s(literal -1/2 binary64) b)) c (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(fma.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) a) c (/.f64 #s(literal -1/2 binary64) b)) c (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (/.f64 #s(literal -135/128 binary64) (pow.f64 b #s(literal 7 binary64))) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 c c) (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) |
(fma.f64 #s(literal -135/128 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) |
(*.f64 #s(literal -1/6 binary64) a) |
#s(literal -1/6 binary64) |
a |
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
(/.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
b |
#s(literal 6 binary64) |
(/.f64 #s(literal 405/64 binary64) b) |
#s(literal 405/64 binary64) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))) |
(*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) |
#s(literal -9/16 binary64) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 b #s(literal 5 binary64)) |
#s(literal 5 binary64) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(*.f64 c c) |
(pow.f64 b #s(literal 3 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 c b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 c b) |
c |
b |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
a |
c |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 #s(literal -9/8 binary64) b) #s(literal -3/2 binary64))) (/.f64 a b))) (*.f64 a #s(literal 3 binary64))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 c (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 #s(literal -9/8 binary64) b) #s(literal -3/2 binary64))) (/.f64 a b))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b) |
(*.f64 (*.f64 c (fma.f64 (*.f64 (/.f64 a b) c) (/.f64 #s(literal -9/8 binary64) b) #s(literal -3/2 binary64))) (/.f64 a b)) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) |
(*.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 #s(literal -9/8 binary64) b) c) (/.f64 a b) #s(literal -3/2 binary64))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) |
(/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) b) |
(*.f64 (*.f64 c c) #s(literal -9/8 binary64)) |
(*.f64 #s(literal -9/8 binary64) (*.f64 c c)) |
(*.f64 c c) |
c |
#s(literal -9/8 binary64) |
b |
(/.f64 (*.f64 a a) b) |
(*.f64 a a) |
a |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(*.f64 #s(literal -3/2 binary64) (*.f64 c a)) |
(*.f64 c a) |
#s(literal -3/2 binary64) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) a) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) a) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) |
(fma.f64 (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) a) c (/.f64 #s(literal -1/2 binary64) b)) |
(fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) |
(*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64)) c (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) a) |
(*.f64 c #s(literal -9/16 binary64)) |
(*.f64 #s(literal -9/16 binary64) c) |
c |
#s(literal -9/16 binary64) |
(*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 5 binary64))) a) |
a |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(pow.f64 b #s(literal 5 binary64)) |
b |
#s(literal 5 binary64) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -3/8 binary64) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.27734375 | (/.f64 a (pow.f64 b #s(literal 5 binary64))) | |
| accuracy | 0.29296875 | (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) | |
| accuracy | 0.3359375 | (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) | |
| accuracy | 1.3079366219090596 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| accuracy | 0.29296875 | (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) | |
| accuracy | 0.3203125 | (*.f64 (*.f64 c a) #s(literal -3/2 binary64)) | |
| accuracy | 0.40853500976844204 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 2.512123417137664 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) | |
| accuracy | 0.0234375 | (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) | |
| accuracy | 0.33984375 | (*.f64 (*.f64 #s(literal -3 binary64) a) c) | |
| accuracy | 0.40853500976844204 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 52.6084092037969 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) | |
| accuracy | 0.0 | (/.f64 c b) | |
| accuracy | 0.0 | (*.f64 #s(literal -1/2 binary64) (/.f64 c b)) | |
| accuracy | 6.056392163489693 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) | |
| accuracy | 0.34375 | (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) | |
| accuracy | 0.35546875 | (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) | |
| accuracy | 0.3834762695368841 | (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))) | |
| accuracy | 0.8833257155859331 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
| 190.0ms | 209× | 1 | valid |
| 48.0ms | 47× | 0 | valid |
Compiled 553 to 73 computations (86.8% saved)
ival-mult: 54.0ms (29.6% of total)ival-div: 37.0ms (20.3% of total)ival-add: 36.0ms (19.8% of total)adjust: 20.0ms (11% of total)ival-pow: 20.0ms (11% of total)ival-sqrt: 7.0ms (3.8% of total)const: 4.0ms (2.2% of total)ival-sub: 2.0ms (1.1% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b) |
(fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(*.f64 (*.f64 c c) #s(literal -9/8 binary64)) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* -3/2 (* a c)) |
(* a (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* -3/8 (/ a (pow b 3))) |
(* a (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(* -3 (* a c)) |
(/ a (pow b 5)) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 5))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b)))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7)) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(/ c b) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* -3/8 (* a (* (pow b 2) c)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(/ (pow c 4) (pow b 6)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 3)) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b)) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b)) |
(* -1 (/ (+ (* 3/8 a) (* 9/16 (/ (* (pow a 2) c) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2))))) |
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3)))) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(* -9/8 (pow c 2)) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3)))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | b | @ | -inf | ((+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -1/2 (/ c b)) (/ c b) (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (* 3 a)) (neg b) (sqrt (+ (* b b) (* (* -3 a) c))) (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) b) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ (* -9/16 (pow c 3)) (pow b 5)) (/ (pow c 4) (pow b 6)) (* (* -3 a) c) (* (* c a) -3/2) (* (* c c) -9/8) (* (/ a (pow b 3)) -3/8) (/ a (pow b 5))) |
| 15.0ms | a | @ | 0 | ((+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -1/2 (/ c b)) (/ c b) (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (* 3 a)) (neg b) (sqrt (+ (* b b) (* (* -3 a) c))) (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) b) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ (* -9/16 (pow c 3)) (pow b 5)) (/ (pow c 4) (pow b 6)) (* (* -3 a) c) (* (* c a) -3/2) (* (* c c) -9/8) (* (/ a (pow b 3)) -3/8) (/ a (pow b 5))) |
| 11.0ms | b | @ | inf | ((+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -1/2 (/ c b)) (/ c b) (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (* 3 a)) (neg b) (sqrt (+ (* b b) (* (* -3 a) c))) (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) b) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ (* -9/16 (pow c 3)) (pow b 5)) (/ (pow c 4) (pow b 6)) (* (* -3 a) c) (* (* c a) -3/2) (* (* c c) -9/8) (* (/ a (pow b 3)) -3/8) (/ a (pow b 5))) |
| 10.0ms | c | @ | -inf | ((+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -1/2 (/ c b)) (/ c b) (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (* 3 a)) (neg b) (sqrt (+ (* b b) (* (* -3 a) c))) (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) b) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ (* -9/16 (pow c 3)) (pow b 5)) (/ (pow c 4) (pow b 6)) (* (* -3 a) c) (* (* c a) -3/2) (* (* c c) -9/8) (* (/ a (pow b 3)) -3/8) (/ a (pow b 5))) |
| 9.0ms | c | @ | inf | ((+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -1/2 (/ c b)) (/ c b) (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (/ (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (* 3 a)) (neg b) (sqrt (+ (* b b) (* (* -3 a) c))) (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/ (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) b) (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ (* -9/16 (pow c 3)) (pow b 5)) (/ (pow c 4) (pow b 6)) (* (* -3 a) c) (* (* c a) -3/2) (* (* c c) -9/8) (* (/ a (pow b 3)) -3/8) (/ a (pow b 5))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 874 | 4996 |
| 1 | 2734 | 4957 |
| 0 | 8335 | 4721 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* -3/2 (* a c)) |
(* a (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) |
(* -3/8 (/ a (pow b 3))) |
(* a (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(* -3 (* a c)) |
(/ a (pow b 5)) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) |
(* (pow a 2) (+ (* -3/2 (/ c a)) (* -9/8 (/ (pow c 2) (pow b 2))))) |
(* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 3))) |
(* (pow a 2) (+ (* -3/2 (/ c (* a b))) (* -9/8 (/ (pow c 2) (pow b 3))))) |
(* -9/16 (/ (* (pow a 2) c) (pow b 5))) |
(* (pow a 2) (- (* -9/16 (/ c (pow b 5))) (* 3/8 (/ 1 (* a (pow b 3)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b)))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7)) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(* 405/64 (/ (pow c 4) (pow b 7))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(/ c b) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 2)) |
(/ (+ (* -3/2 (* a (* (pow b 2) c))) (* -9/8 (* (pow a 2) (pow c 2)))) (pow b 3)) |
(/ (+ (* -9/16 (* (pow a 2) c)) (* -3/8 (* a (pow b 2)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* -3/8 (* a (* (pow b 2) c)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(/ (pow c 4) (pow b 6)) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) |
(/ (+ (* -9/16 (/ (* (pow a 2) c) (pow b 2))) (* -3/8 a)) (pow b 3)) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b)) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (+ (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b)) |
(* -1 (/ (+ (* 3/8 a) (* 9/16 (/ (* (pow a 2) c) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -3/2 a) (* -9/8 (/ (* (pow a 2) c) (pow b 2))))) |
(+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3)))) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(* -9/8 (pow c 2)) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3)))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
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(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))) c) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64)))) c) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/6 binary64) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64))))) c) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)) c) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c))) c) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) c)))) c) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 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)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))))) c) |
(* (pow c 2) (+ (* -3/2 (/ a c)) (* -9/8 (/ (pow a 2) (pow b 2))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 a a) b) (*.f64 (/.f64 a c) #s(literal -3/2 binary64))) (*.f64 c c)) |
(* (pow c 2) (+ (* -3/2 (/ a (* b c))) (* -9/8 (/ (pow a 2) (pow b 3))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/2 binary64) c) (/.f64 a b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c)) |
(* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) c) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (pow.f64 c #s(literal 3 binary64))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (pow.f64 c #s(literal 3 binary64))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 c c)) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c)) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 9/16 binary64) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b a) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))))) (neg.f64 c))) (neg.f64 c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 b)) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)))) (neg.f64 c)) b) (neg.f64 c)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 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)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* c (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 3/8 binary64) c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 3/8 binary64) c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 9/16 binary64) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (neg.f64 c)))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 469 |
| 0 | 124 | 469 |
| 1 | 446 | 449 |
| 2 | 3527 | 445 |
| 0 | 10602 | 441 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b) |
(fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c) |
(fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64))) |
(/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(*.f64 (*.f64 c c) #s(literal -9/8 binary64)) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c c) (pow.f64 b #s(literal -3 binary64))) #s(literal -3/8 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)))) a)) a) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 c c) (pow.f64 b #s(literal -3 binary64))) #s(literal -3/8 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)))) a)) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 b c) #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c c) (pow.f64 b #s(literal -3 binary64))) #s(literal -3/8 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)))) a)) a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (-.f64 (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 c c) (pow.f64 b #s(literal -3 binary64))) #s(literal -3/8 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)))) a)) a)) (pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c c) (pow.f64 b #s(literal -3 binary64))) #s(literal -3/8 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)))) a)) a) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 (*.f64 (*.f64 c c) (pow.f64 b #s(literal -3 binary64))) #s(literal -3/8 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)))) a)) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) (-.f64 (pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c c) (pow.f64 b #s(literal -3 binary64))) #s(literal -3/8 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)))) a)) a) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (-.f64 (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 c c) (pow.f64 b #s(literal -3 binary64))) #s(literal -3/8 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)))) a)) a)) (pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c c) (pow.f64 b #s(literal -3 binary64))) #s(literal -3/8 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)))) a)) a) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 b c) #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 (fma.f64 (*.f64 (*.f64 c c) (pow.f64 b #s(literal -3 binary64))) #s(literal -3/8 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)))) a)) a) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 c c) (pow.f64 b #s(literal -3 binary64))) #s(literal -3/8 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)))) a)) #s(literal 2 binary64)) a) (neg.f64 b) (*.f64 (fma.f64 (*.f64 (*.f64 c c) (pow.f64 b #s(literal -3 binary64))) #s(literal -3/8 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)))) a)) (*.f64 (neg.f64 c) #s(literal -1/2 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 c c) (pow.f64 b #s(literal -3 binary64))) #s(literal -3/8 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)))) a)) (neg.f64 b))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 c c) (pow.f64 b #s(literal -3 binary64))) #s(literal -3/8 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)))) a)) #s(literal 2 binary64)) a) (neg.f64 b) (*.f64 (fma.f64 (*.f64 (*.f64 c c) (pow.f64 b #s(literal -3 binary64))) #s(literal -3/8 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)))) a)) (*.f64 #s(literal -1/2 binary64) (neg.f64 c)))) (*.f64 (fma.f64 (*.f64 (*.f64 c c) (pow.f64 b #s(literal -3 binary64))) #s(literal -3/8 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)))) a)) (neg.f64 b))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 c c) (pow.f64 b #s(literal -3 binary64))) #s(literal -3/8 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)))) a)) #s(literal 2 binary64)) a) (neg.f64 b) (*.f64 (fma.f64 (*.f64 (*.f64 c c) (pow.f64 b #s(literal -3 binary64))) #s(literal -3/8 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)))) a)) (neg.f64 (*.f64 #s(literal -1/2 binary64) c)))) (*.f64 (fma.f64 (*.f64 (*.f64 c c) (pow.f64 b #s(literal -3 binary64))) #s(literal -3/8 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)))) a)) (neg.f64 b))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 c c) (pow.f64 b #s(literal -3 binary64))) #s(literal -3/8 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)))) a)) #s(literal 2 binary64)) a) b (*.f64 (fma.f64 (*.f64 (*.f64 c c) (pow.f64 b #s(literal -3 binary64))) #s(literal -3/8 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)))) a)) (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (fma.f64 (*.f64 (*.f64 c c) (pow.f64 b #s(literal -3 binary64))) #s(literal -3/8 binary64) (*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 405/64 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal -7 binary64))) (*.f64 a #s(literal -1/6 binary64)) (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)))) a)) b)) |
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(neg.f64 (*.f64 (pow.f64 b #s(literal -6 binary64)) (pow.f64 c #s(literal 4 binary64)))) |
(exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 4 binary64)) (fma.f64 (log.f64 b) #s(literal 3 binary64) (*.f64 (log.f64 b) #s(literal 3 binary64))))) |
(exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 b)) #s(literal 3 binary64)))) |
(exp.f64 (neg.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 6 binary64)) (*.f64 (log.f64 c) #s(literal 4 binary64))))) |
(exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 b) #s(literal 6 binary64))) (*.f64 (log.f64 c) #s(literal 4 binary64)))) |
(exp.f64 (fma.f64 (log.f64 c) #s(literal 4 binary64) (neg.f64 (*.f64 (log.f64 b) #s(literal 6 binary64))))) |
(exp.f64 (*.f64 (-.f64 (*.f64 (log.f64 b) #s(literal 6 binary64)) (*.f64 (log.f64 c) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 c #s(literal -4 binary64)))) #s(literal -1 binary64))) |
(exp.f64 (-.f64 (*.f64 (log.f64 c) #s(literal 4 binary64)) (*.f64 (log.f64 b) #s(literal 6 binary64)))) |
(*.f64 (*.f64 #s(literal -3 binary64) c) a) |
(*.f64 (*.f64 c #s(literal -3 binary64)) a) |
(*.f64 #s(literal -1 binary64) (*.f64 (*.f64 #s(literal 3 binary64) c) a)) |
(*.f64 (neg.f64 c) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (*.f64 #s(literal -3 binary64) a) c) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 c)) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(*.f64 #s(literal 3 binary64) (neg.f64 (*.f64 c a))) |
(*.f64 c (*.f64 #s(literal -3 binary64) a)) |
(*.f64 a (*.f64 #s(literal -3 binary64) c)) |
(neg.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a)) |
(-.f64 #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 3 binary64) c) a)) |
(*.f64 (*.f64 #s(literal -3/2 binary64) c) a) |
(*.f64 (*.f64 #s(literal -3/2 binary64) a) c) |
(*.f64 #s(literal -3/2 binary64) (*.f64 c a)) |
(*.f64 (*.f64 c a) #s(literal -3/2 binary64)) |
(*.f64 c (*.f64 #s(literal -3/2 binary64) a)) |
(*.f64 a (*.f64 c #s(literal -3/2 binary64))) |
(*.f64 (*.f64 #s(literal -9/8 binary64) c) c) |
(*.f64 #s(literal -9/8 binary64) (*.f64 c c)) |
(*.f64 (*.f64 c c) #s(literal -9/8 binary64)) |
(*.f64 c (*.f64 #s(literal -9/8 binary64) c)) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 3/2 binary64))) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3/2 binary64)))) |
(*.f64 (/.f64 a (*.f64 b b)) (/.f64 #s(literal -3/8 binary64) b)) |
(*.f64 (/.f64 a b) (/.f64 #s(literal -3/8 binary64) (*.f64 b b))) |
(*.f64 (*.f64 #s(literal -3/8 binary64) a) (pow.f64 b #s(literal -3 binary64))) |
(*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) |
(*.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 a (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 a (*.f64 (pow.f64 b #s(literal -3 binary64)) #s(literal -3/8 binary64))) |
(pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 #s(literal -3/8 binary64) a)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) (pow.f64 b #s(literal 3/2 binary64))) (pow.f64 b #s(literal 3/2 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 b b)) b) |
(/.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (*.f64 b b)) |
(/.f64 (*.f64 (neg.f64 a) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (neg.f64 a)) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (neg.f64 (*.f64 #s(literal -3/8 binary64) a)) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) a) (pow.f64 b #s(literal 3 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 #s(literal -3/8 binary64) a))) |
(/.f64 #s(literal -3/8 binary64) (/.f64 (pow.f64 b #s(literal 3 binary64)) a)) |
(*.f64 (pow.f64 b #s(literal -5/2 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 5/2 binary64)) a) #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal -5 binary64)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 b #s(literal -5 binary64)) a) |
(*.f64 #s(literal 1 binary64) (/.f64 a (pow.f64 b #s(literal 5 binary64)))) |
(*.f64 (neg.f64 a) (pow.f64 (neg.f64 (pow.f64 b #s(literal 5 binary64))) #s(literal -1 binary64))) |
(*.f64 a (pow.f64 b #s(literal -5 binary64))) |
(pow.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 5 binary64)) a) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 b #s(literal 5 binary64)) a) #s(literal -1 binary64)) |
(/.f64 (*.f64 a #s(literal 1 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(/.f64 (/.f64 a (pow.f64 b #s(literal 5/2 binary64))) (pow.f64 b #s(literal 5/2 binary64))) |
(/.f64 (neg.f64 (neg.f64 a)) (neg.f64 (neg.f64 (pow.f64 b #s(literal 5 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (pow.f64 b #s(literal 5 binary64)) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 5 binary64)) a) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 b #s(literal 5 binary64)) a)) |
(/.f64 (neg.f64 a) (neg.f64 (pow.f64 b #s(literal 5 binary64)))) |
(/.f64 a (pow.f64 b #s(literal 5 binary64))) |
(neg.f64 (/.f64 (neg.f64 a) (pow.f64 b #s(literal 5 binary64)))) |
(neg.f64 (/.f64 a (neg.f64 (pow.f64 b #s(literal 5 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (pow.f64 b #s(literal 5 binary64)) a)) #s(literal -1 binary64))) |
Compiled 71 290 to 5 801 computations (91.9% saved)
47 alts after pruning (45 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 082 | 33 | 1 115 |
| Fresh | 9 | 12 | 21 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 094 | 47 | 1 141 |
| Status | Accuracy | Program |
|---|---|---|
| 19.0% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| 19.2% | (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| 18.6% | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| 19.2% | (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 19.0% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64)))) (+.f64 #s(literal 0 binary64) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (+.f64 #s(literal 0 binary64) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 18.2% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 17.9% | (/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 18.2% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) | |
| 17.6% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| ✓ | 17.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 17.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 13.4% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 18.2% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 17.6% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 95.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 95.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) a)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 89.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 97.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 90.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 90.1% | (/.f64 #s(approx (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) | |
| 95.2% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal -2 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)))) | |
| 17.6% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 17.3% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) | |
| 18.2% | (*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) | |
| 17.6% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 17.6% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| ▶ | 17.6% | (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
| ▶ | 15.2% | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
| ▶ | 98.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
| 97.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) | |
| 96.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 90.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 b a) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 9/16 binary64) (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64))) (neg.f64 b))) c)) | |
| 97.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c)) | |
| 95.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)) | |
| ▶ | 90.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| 97.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 c (*.f64 (pow.f64 b #s(literal 3 binary64)) a)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b a) a)))) (*.f64 a a))) c)) | |
| 97.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c))) c)) | |
| ▶ | 97.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c))) c)) |
| ✓ | 90.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
| 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 a #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))))) | |
| 98.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)))) b))) | |
| 97.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 9/16 binary64) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))))) | |
| 97.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64))))) | |
| 97.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) c) c) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 a))) (*.f64 a a)))) | |
| 97.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 9/16 binary64) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (neg.f64 c)))))) |
Compiled 4 287 to 2 781 computations (35.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c))) c) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c))) c)) | |
| cost-diff | 1 | (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| cost-diff | 0 | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) | |
| cost-diff | 24 | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) | |
| cost-diff | 0 | (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) | |
| cost-diff | 0 | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) a) | |
| cost-diff | 2 | (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| cost-diff | 0 | #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) | |
| cost-diff | 0 | (fma.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 991 |
| 0 | 149 | 969 |
| 1 | 265 | 959 |
| 2 | 626 | 923 |
| 3 | 1738 | 907 |
| 4 | 4319 | 907 |
| 0 | 8630 | 885 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(fma.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) |
#s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) |
(*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) |
#s(literal -135/128 binary64) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
a |
(*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64))) |
(*.f64 #s(literal -9/16 binary64) (*.f64 b b)) |
#s(literal -9/16 binary64) |
(*.f64 b b) |
b |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 b #s(literal 7 binary64)) |
#s(literal 7 binary64) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
#s(literal -3/8 binary64) |
(*.f64 c c) |
(pow.f64 b #s(literal 3 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
#s(literal -1/2 binary64) |
(/.f64 c b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
c |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal -1 binary64) a) |
#s(literal -1 binary64) |
a |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
#s(literal 1/3 binary64) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c))) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c))) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c)) |
(fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 a a) |
a |
(pow.f64 b #s(literal 5 binary64)) |
b |
#s(literal 5 binary64) |
#s(literal -9/16 binary64) |
(/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c)) |
(fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) |
#s(literal 3/8 binary64) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) c) |
(/.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
c |
(neg.f64 c) |
(*.f64 c c) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 a a) #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) (*.f64 #s(literal -9/16 binary64) b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 7 binary64)))) (*.f64 c (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) a) c (/.f64 #s(literal -1/2 binary64) b))))) |
(fma.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(fma.f64 (*.f64 a a) #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) (*.f64 #s(literal -9/16 binary64) b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 7 binary64)))) (*.f64 c (fma.f64 (*.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) a) c (/.f64 #s(literal -1/2 binary64) b)))) |
(fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) |
(fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) (*.f64 #s(literal -9/16 binary64) b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c)) |
#s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) |
#s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) (*.f64 #s(literal -9/16 binary64) b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) (*.f64 #s(literal -9/16 binary64) b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) #s(literal -135/128 binary64))) (pow.f64 b #s(literal 7 binary64))) |
(fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) |
(fma.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) (*.f64 #s(literal -9/16 binary64) b) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) #s(literal -135/128 binary64))) |
(*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) |
(*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) |
#s(literal -135/128 binary64) |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
a |
(*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64))) |
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) b) (*.f64 #s(literal -9/16 binary64) b)) |
(*.f64 #s(literal -9/16 binary64) (*.f64 b b)) |
(*.f64 (*.f64 b b) #s(literal -9/16 binary64)) |
#s(literal -9/16 binary64) |
(*.f64 b b) |
b |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(pow.f64 b #s(literal 7 binary64)) |
#s(literal 7 binary64) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) |
(*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c) |
(*.f64 #s(literal -3/8 binary64) (*.f64 c c)) |
(*.f64 (*.f64 c c) #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(*.f64 c c) |
(pow.f64 b #s(literal 3 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 c b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
c |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 #s(literal -1 binary64) a) |
#s(literal -1 binary64) |
a |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
b |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
#s(literal 1/3 binary64) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) |
(/.f64 #s(literal 1/3 binary64) a) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 a #s(literal 3 binary64))) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 a a) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) a (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) c)) (*.f64 c c))) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c))) c) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 a a) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) a (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) c)) (*.f64 c c))) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c))) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 a a) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) a (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) c)) (*.f64 c c))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c)) |
(*.f64 (fma.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 a a) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) a (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) c)) (*.f64 c c)) |
(fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) |
(fma.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (*.f64 a a) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) a (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) c)) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 a a) |
a |
(pow.f64 b #s(literal 5 binary64)) |
b |
#s(literal 5 binary64) |
#s(literal -9/16 binary64) |
(/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c)) |
(/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) a (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) c) |
(fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) |
(fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) |
#s(literal 3/8 binary64) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) c) |
(/.f64 #s(literal 1/2 binary64) b) |
#s(literal 1/2 binary64) |
c |
(neg.f64 c) |
(*.f64 c c) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.29296875 | (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c))) c) | |
| accuracy | 0.3515625 | (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c)) | |
| accuracy | 0.375 | (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) | |
| accuracy | 1.3079366219090596 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c))) c)) | |
| accuracy | 0.33203125 | (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) | |
| accuracy | 0.38671875 | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) | |
| accuracy | 52.6084092037969 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 52.6084092037969 | (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) | |
| accuracy | 0.0546875 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| accuracy | 0.33984375 | (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) | |
| accuracy | 0.33984375 | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)) | |
| accuracy | 52.6084092037969 | (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) | |
| accuracy | 0.0 | (/.f64 #s(literal -1/2 binary64) b) | |
| accuracy | 0.29296875 | (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) | |
| accuracy | 1.3079366219090596 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| accuracy | 6.041601191495854 | #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) | |
| accuracy | 0.3125 | (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) | |
| accuracy | 0.3232612793053261 | (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64))) | |
| accuracy | 0.34765625 | (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64))) | |
| accuracy | 0.8833257155859331 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
| 250.0ms | 207× | 1 | valid |
| 27.0ms | 49× | 0 | valid |
Compiled 737 to 93 computations (87.4% saved)
ival-mult: 73.0ms (34.2% of total)adjust: 39.0ms (18.3% of total)ival-div: 38.0ms (17.8% of total)ival-pow: 20.0ms (9.4% of total)ival-add: 18.0ms (8.4% of total)const: 7.0ms (3.3% of total)ival-sqrt: 7.0ms (3.3% of total)ival-sub: 6.0ms (2.8% of total)exact: 2.0ms (0.9% of total)ival-neg: 2.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(fma.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) |
#s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal -1 binary64) a) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c))) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c))) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c))) |
(*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c)) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(/ -1 a) |
(* 1/2 (/ (* a c) b)) |
(* a (+ (* 3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b)))) |
(* a (+ (* 1/2 (/ c b)) (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5))))))) |
(* a (+ (* 1/2 (/ c b)) (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5))))))))) |
(* 3/2 (/ (* a c) b)) |
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(/ 1/3 a) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(/ -1/2 (* b (pow c 2))) |
(- (* -3/8 (/ a (* (pow b 3) c))) (* 1/2 (/ 1 (* b (pow c 2))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(/ (pow a 2) (pow b 5)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b)))) |
(* -1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))) |
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (/ b a))))) |
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/3 (/ b a)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -3/8 (/ a (* (pow b 3) c))) |
(* -1 (* a (+ (* 1/2 (/ 1 (* a (* b (pow c 2))))) (* 3/8 (/ 1 (* (pow b 3) c)))))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(* 1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* -3/8 (* a (* (pow b 2) c)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* 1/3 b)) |
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* -1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3))))))) |
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* b (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))))) |
(- b (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(/ (+ (* -1/2 (/ (pow b 2) (pow c 2))) (* -3/8 (/ a c))) (pow b 3)) |
(* -9/16 (* (pow b 2) (pow c 3))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b) |
(/ (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c))) b) |
(/ (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* 1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b) |
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b) |
(/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (- (* -3/8 (/ a (* (pow b 2) c))) (* 1/2 (/ 1 (pow c 2)))) b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b)) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(* 2/3 b) |
(* -1 (* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3))) |
(* -1 (* b (- (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 1/2 (/ (* a c) (pow b 2)))) 2/3))) |
(* -1 (* b (- (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 2/3))) |
(* 2 b) |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (+ (* 3/8 (/ a (* (pow b 2) c))) (* 1/2 (/ 1 (pow c 2)))) b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(* c (+ (* 3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b)))) |
(* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* 9/16 (/ (* (pow a 3) c) (pow b 5))))))) |
(* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* 1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* 9/16 (/ (pow a 3) (pow b 5))))))))) |
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(/ (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) (pow c 2)) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3)))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c)))) |
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (/ b c))))) |
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/3 (/ b c)))))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(* -1 (* c (+ (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) c)) (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* 1/3 b)) c)) (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | b | @ | -inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (* (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3)) (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (* (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 3) a)) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (* (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 3) a))) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (* (* -9/16 (* b b)) (pow c 3)) (/ (+ (* (* -135/128 (pow c 4)) a) (* (* -9/16 (* b b)) (pow c 3))) (pow b 7)) (/ (* -3/8 (* c c)) (pow b 3)) (+ (* (* -3 c) a) (* b b)) (/ (* a a) (pow b 5)) (* (+ (* (/ (* a a) (pow b 5)) -9/16) (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c))) (* c c))) |
| 11.0ms | a | @ | inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (* (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3)) (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (* (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 3) a)) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (* (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 3) a))) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (* (* -9/16 (* b b)) (pow c 3)) (/ (+ (* (* -135/128 (pow c 4)) a) (* (* -9/16 (* b b)) (pow c 3))) (pow b 7)) (/ (* -3/8 (* c c)) (pow b 3)) (+ (* (* -3 c) a) (* b b)) (/ (* a a) (pow b 5)) (* (+ (* (/ (* a a) (pow b 5)) -9/16) (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c))) (* c c))) |
| 8.0ms | b | @ | 0 | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (* (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3)) (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (* (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 3) a)) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (* (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 3) a))) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (* (* -9/16 (* b b)) (pow c 3)) (/ (+ (* (* -135/128 (pow c 4)) a) (* (* -9/16 (* b b)) (pow c 3))) (pow b 7)) (/ (* -3/8 (* c c)) (pow b 3)) (+ (* (* -3 c) a) (* b b)) (/ (* a a) (pow b 5)) (* (+ (* (/ (* a a) (pow b 5)) -9/16) (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c))) (* c c))) |
| 7.0ms | a | @ | 0 | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (* (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3)) (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (* (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 3) a)) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (* (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 3) a))) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (* (* -9/16 (* b b)) (pow c 3)) (/ (+ (* (* -135/128 (pow c 4)) a) (* (* -9/16 (* b b)) (pow c 3))) (pow b 7)) (/ (* -3/8 (* c c)) (pow b 3)) (+ (* (* -3 c) a) (* b b)) (/ (* a a) (pow b 5)) (* (+ (* (/ (* a a) (pow b 5)) -9/16) (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c))) (* c c))) |
| 7.0ms | c | @ | inf | ((/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/ -1/2 b) (* (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3)) (/ -1 a) (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (/ (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (* (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 3) a)) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (/ (- b (sqrt (+ (* (* -3 c) a) (* b b)))) (* (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 3) a))) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (* (* -9/16 (* b b)) (pow c 3)) (/ (+ (* (* -135/128 (pow c 4)) a) (* (* -9/16 (* b b)) (pow c 3))) (pow b 7)) (/ (* -3/8 (* c c)) (pow b 3)) (+ (* (* -3 c) a) (* b b)) (/ (* a a) (pow b 5)) (* (+ (* (/ (* a a) (pow b 5)) -9/16) (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c))) (* c c))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1180 | 7202 |
| 1 | 3816 | 7153 |
| 0 | 8313 | 6819 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(/ -1 a) |
(* 1/2 (/ (* a c) b)) |
(* a (+ (* 3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b)))) |
(* a (+ (* 1/2 (/ c b)) (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5))))))) |
(* a (+ (* 1/2 (/ c b)) (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5))))))))) |
(* 3/2 (/ (* a c) b)) |
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(/ 1/3 a) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(/ -1/2 (* b (pow c 2))) |
(- (* -3/8 (/ a (* (pow b 3) c))) (* 1/2 (/ 1 (* b (pow c 2))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(/ (pow a 2) (pow b 5)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b)))) |
(* -1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))) |
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (/ b a))))) |
(* a (+ (* -1/3 (* (sqrt (/ c a)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/3 (/ b a)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -3))) |
(* a (- (/ b a) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -3/8 (/ a (* (pow b 3) c))) |
(* -1 (* a (+ (* 1/2 (/ 1 (* a (* b (pow c 2))))) (* 3/8 (/ 1 (* (pow b 3) c)))))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* -1 (* a (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(* 1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* (sqrt (* a c)) (* (sqrt -1) (sqrt 3))) |
(* -1 (* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(/ (+ (* -135/128 (* a (pow c 4))) (* -9/16 (* (pow b 2) (pow c 3)))) (pow b 7)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* -3/8 (* a (* (pow b 2) c)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* 1/3 b)) |
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* -1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3))))))) |
(+ (* -1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (+ 1/3 (* b (+ (* -1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3))))))))) |
(- b (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(- (* b (+ 1 (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(/ (+ (* -1/2 (/ (pow b 2) (pow c 2))) (* -3/8 (/ a c))) (pow b 3)) |
(* -9/16 (* (pow b 2) (pow c 3))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* a (pow c 4)) (pow b 2))) (* -9/16 (pow c 3))) (pow b 5)) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b) |
(/ (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 1/2 (* a c))) b) |
(/ (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* 1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 1/2 (* a c)) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b) |
(/ (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (* a c))) b) |
(/ (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (- (* 1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (- (* -3/8 (/ a (* (pow b 2) c))) (* 1/2 (/ 1 (pow c 2)))) b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b)) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -1 (/ (+ (* 9/16 (pow c 3)) (* 135/128 (/ (* a (pow c 4)) (pow b 2)))) (pow b 5))) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(* 2/3 b) |
(* -1 (* b (- (* 1/2 (/ (* a c) (pow b 2))) 2/3))) |
(* -1 (* b (- (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 1/2 (/ (* a c) (pow b 2)))) 2/3))) |
(* -1 (* b (- (+ (* 3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 1/2 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))) 2/3))) |
(* 2 b) |
(* -1 (* b (- (* 3/2 (/ (* a c) (pow b 2))) 2))) |
(* -1 (* b (- (* 9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (- (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (+ (* 3/8 (/ a (* (pow b 2) c))) (* 1/2 (/ 1 (pow c 2)))) b)) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 3) (- (* -135/128 (/ (* a c) (pow b 7))) (* 9/16 (/ 1 (pow b 5))))) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(* c (+ (* 3/8 (/ (* (pow a 2) c) (pow b 3))) (* 1/2 (/ a b)))) |
(* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* 9/16 (/ (* (pow a 3) c) (pow b 5))))))) |
(* c (+ (* 1/2 (/ a b)) (* c (+ (* 3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* 1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* 9/16 (/ (pow a 3) (pow b 5))))))))) |
(* c (- (* 9/8 (/ (* (pow a 2) c) (pow b 3))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* 27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* c (- (* c (- (* c (- (* 1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* -27/16 (/ (pow a 3) (pow b 5))))) (* -9/8 (/ (pow a 2) (pow b 3))))) (* -3/2 (/ a b)))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(/ (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) (pow c 2)) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3)))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* (pow c 4) (- (* -135/128 (/ a (pow b 7))) (* 9/16 (/ 1 (* (pow b 5) c))))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (* 1/3 (/ b c)))) |
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (/ b c))))) |
(* c (+ (* -1/3 (* (sqrt (/ a c)) (sqrt -3))) (+ (* -1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (* 1/3 (/ b c)))))) |
(* c (- (/ b c) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(* -1 (* c (+ (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) c)) (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* 1/3 b)) c)) (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(* -9/16 (/ (pow c 3) (pow b 5))) |
(/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
(/ -1/2 b) |
(/.f64 #s(literal -1/2 binary64) b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) a)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 #s(literal -1/2 binary64) b)) |
(/ -1 a) |
(/.f64 #s(literal -1 binary64) a) |
(* 1/2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64)) |
(* a (+ (* 3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b)))) |
(*.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) a) |
(* a (+ (* 1/2 (/ c b)) (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) a) |
(* a (+ (* 1/2 (/ c b)) (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* 1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal 3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) a) |
(* 3/2 (/ (* a c) b)) |
(*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b))) |
(* a (- (* 9/8 (/ (* a (pow c 2)) (pow b 3))) (* -3/2 (/ c b)))) |
(*.f64 (fma.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 3/2 binary64) (/.f64 c b))) a) |
(* a (- (* a (- (* 27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(*.f64 (fma.f64 (fma.f64 #s(literal 27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 3/2 binary64) (/.f64 c b))) a) |
(* a (- (* a (- (* a (- (* 1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* -27/16 (/ (pow c 3) (pow b 5))))) (* -9/8 (/ (pow c 2) (pow b 3))))) (* -3/2 (/ c b)))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) (*.f64 #s(literal 27/16 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) a (*.f64 #s(literal 9/8 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 3/2 binary64) (/.f64 c b))) a) |
(/ 1/3 a) |
(/.f64 #s(literal 1/3 binary64) a) |
(* -3/2 (/ (* a c) b)) |
(*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b))) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b)) b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b) |
(/ -1/2 (* b (pow c 2))) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 c c) b)) |
(- (* -3/8 (/ a (* (pow b 3) c))) (* 1/2 (/ 1 (* b (pow c 2))))) |
(fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 c c) b))) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(/ (pow a 2) (pow b 5)) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 binary64)) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/6 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/6 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64)) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))))) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (fma.f64 (/.f64 #s(literal -1/2 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c b) (fma.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))))) (pow.f64 a #s(literal 3 binary64))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(*.f64 (*.f64 (*.f64 a a) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64)))) #s(literal -135/128 binary64)) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))) (*.f64 a a)) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -9/16 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))))) (*.f64 a a)) |
(* -135/128 (/ (* a (pow c 4)) (pow b 7))) |
(/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) #s(literal -135/128 binary64)) (pow.f64 b #s(literal 7 binary64))) |
(* a (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
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(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(*.f64 (fma.f64 (*.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 -3 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))))) c) |
(/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c) |
(/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (neg.f64 c) (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b a) c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 c))) (neg.f64 c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 9/16 binary64) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 a (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 3/8 binary64) c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 9/16 binary64) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) (neg.f64 c)))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 c b))) (neg.f64 c))) (*.f64 c c)) |
(* -1 (* c (+ (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b c))))) |
(*.f64 (neg.f64 c) (*.f64 #s(literal -1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) c)) (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (-.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) b)) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) c)) (* 1/3 b)) c)) (* -1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal 1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 c))) (neg.f64 c)))) |
(* -1 (* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b c)))) |
(* -1 (* c (- (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) b) (neg.f64 c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) |
(* -1 (* c (- (* -1 (/ (+ b (* -1 (/ (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (-.f64 (/.f64 (-.f64 b (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal -1/2 binary64))) c)) (neg.f64 c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 b)) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))))) (neg.f64 c)) b) (neg.f64 c)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))) |
(* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) |
(/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 c b))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (neg.f64 c) (fma.f64 a #s(literal 3 binary64) (/.f64 (*.f64 b b) (neg.f64 c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 99 | 771 |
| 0 | 149 | 771 |
| 1 | 550 | 755 |
| 2 | 4700 | 745 |
| 0 | 8213 | 729 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(fma.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) |
#s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal -1 binary64) a) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)) |
(-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c))) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c))) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c))) |
(*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) a (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 b b)) (pow.f64 c #s(literal 3 binary64)))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 a #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) b) (*.f64 b (pow.f64 c #s(literal 3 binary64))))))) a (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 a #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) b) (*.f64 b (pow.f64 c #s(literal 3 binary64))))))) a (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 a #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) b) (*.f64 b (pow.f64 c #s(literal 3 binary64))))))) a (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (/.f64 b c) #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 a #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) b) (*.f64 b (pow.f64 c #s(literal 3 binary64))))))) a (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (-.f64 (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 a #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) b) (*.f64 b (pow.f64 c #s(literal 3 binary64))))))) a (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 a #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) b) (*.f64 b (pow.f64 c #s(literal 3 binary64))))))) a (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 a #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) b) (*.f64 b (pow.f64 c #s(literal 3 binary64))))))) a (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 a #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) b) (*.f64 b (pow.f64 c #s(literal 3 binary64))))))) a (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (-.f64 (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 a #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) b) (*.f64 b (pow.f64 c #s(literal 3 binary64))))))) a (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 a #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) b) (*.f64 b (pow.f64 c #s(literal 3 binary64))))))) a (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a) #s(literal 2 binary64))) (fma.f64 (pow.f64 (/.f64 b c) #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 a #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) b) (*.f64 b (pow.f64 c #s(literal 3 binary64))))))) a (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 a #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) b) (*.f64 b (pow.f64 c #s(literal 3 binary64))))))) a (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 a #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) b) (*.f64 b (pow.f64 c #s(literal 3 binary64))))))) a (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 a #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) b) (*.f64 b (pow.f64 c #s(literal 3 binary64))))))) a (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 a #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) b) (*.f64 b (pow.f64 c #s(literal 3 binary64))))))) a (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 b c) #s(literal -3 binary64)) #s(literal -1/8 binary64) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 a #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) b) (*.f64 b (pow.f64 c #s(literal 3 binary64))))))) a (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (-.f64 (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) (*.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 a #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) b) (*.f64 b (pow.f64 c #s(literal 3 binary64))))))) a (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a)) (pow.f64 (*.f64 (fma.f64 #s(approx (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 a #s(literal -135/128 binary64)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) b) (*.f64 b (pow.f64 c #s(literal 3 binary64))))))) a (*.f64 (*.f64 #s(literal -3/8 binary64) c) (/.f64 c (pow.f64 b #s(literal 3 binary64))))) a) #s(literal 2 binary64))))) |
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(/.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal -15 binary64)) (neg.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) c) #s(literal 3 binary64)))) (*.f64 c c)) (fma.f64 (pow.f64 (*.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 a #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 81/256 binary64) (*.f64 (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c)) (-.f64 (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c)) (*.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 (pow.f64 b #s(literal -5 binary64)) a)))))) |
(/.f64 (*.f64 (*.f64 c c) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) #s(literal 2 binary64)) (pow.f64 b #s(literal 10 binary64))) (pow.f64 (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) c) #s(literal 2 binary64)))) (-.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 (pow.f64 b #s(literal -5 binary64)) a)) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c)))) |
(/.f64 (*.f64 (*.f64 c c) (fma.f64 (pow.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) #s(literal 3 binary64)) (pow.f64 b #s(literal -15 binary64)) (neg.f64 (pow.f64 (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) c) #s(literal 3 binary64))))) (fma.f64 (pow.f64 (*.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 a #s(literal -2 binary64))) #s(literal -2 binary64)) #s(literal 81/256 binary64) (*.f64 (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c)) (-.f64 (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c)) (*.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 (pow.f64 b #s(literal -5 binary64)) a)))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 (pow.f64 b #s(literal -5 binary64)) a)) (*.f64 c c) (*.f64 (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c)) (*.f64 c c))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c)) (*.f64 c c) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 (pow.f64 b #s(literal -5 binary64)) a)) (*.f64 c c))) |
(fma.f64 (*.f64 c c) (*.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 (pow.f64 b #s(literal -5 binary64)) a)) (*.f64 (*.f64 c c) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c)))) |
(fma.f64 (*.f64 c c) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c)) (*.f64 (*.f64 c c) (*.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 (pow.f64 b #s(literal -5 binary64)) a)))) |
(+.f64 (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 (pow.f64 b #s(literal -5 binary64)) a)) (*.f64 c c)) (*.f64 (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c)) (*.f64 c c))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c)) (*.f64 c c)) (*.f64 (*.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 (pow.f64 b #s(literal -5 binary64)) a)) (*.f64 c c))) |
(+.f64 (*.f64 (*.f64 c c) (*.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 (pow.f64 b #s(literal -5 binary64)) a))) (*.f64 (*.f64 c c) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c)))) |
(+.f64 (*.f64 (*.f64 c c) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal 3/8 binary64) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 (*.f64 c c) (*.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 (pow.f64 b #s(literal -5 binary64)) a)))) |
Compiled 70 099 to 4 866 computations (93.1% saved)
57 alts after pruning (53 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 117 | 20 | 1 137 |
| Fresh | 7 | 33 | 40 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 127 | 57 | 1 184 |
| Status | Accuracy | Program |
|---|---|---|
| 19.2% | (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 18.6% | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
| 19.2% | (/.f64 (/.f64 (fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64)))))) (*.f64 (+.f64 #s(literal 0 binary64) b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 19.0% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64)))) (+.f64 #s(literal 0 binary64) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (+.f64 #s(literal 0 binary64) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 18.2% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) | |
| 17.9% | (/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 18.2% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) | |
| 17.6% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| ✓ | 17.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 17.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 13.4% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 15.7% | (/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)))) | |
| 18.2% | (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) | |
| 17.6% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 95.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 95.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) a)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 89.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 97.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 90.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 90.1% | (/.f64 #s(approx (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) | |
| 17.6% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 17.3% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) | |
| 14.9% | (+.f64 (*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) (neg.f64 b))) | |
| 17.6% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 17.6% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 19.1% | (*.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 b #s(literal 1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))) | |
| 18.2% | (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 17.4% | (*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 (*.f64 b #s(literal 1/3 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))) | |
| 18.2% | (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1/3 binary64))) | |
| 95.5% | (*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c c) b)) #s(literal 3/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) b))) | |
| 90.2% | (*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64)))) | |
| 14.9% | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 b (pow.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a) #s(literal -1 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))))) | |
| 15.0% | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 (*.f64 b (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) (*.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (pow.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a) #s(literal 2 binary64)))) | |
| 15.8% | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)) a))) | |
| 14.9% | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) a))) | |
| ✓ | 15.2% | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
| 17.6% | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) a))) | |
| ▶ | 98.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
| 97.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| ▶ | 96.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
| ▶ | 90.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 b a) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 9/16 binary64) (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64))) (neg.f64 b))) c)) | |
| 97.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c)) | |
| 95.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)) | |
| 97.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/8 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) c)) | |
| ✓ | 90.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| 97.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 c (*.f64 (pow.f64 b #s(literal 3 binary64)) a)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b a) a)))) (*.f64 a a))) c)) | |
| 97.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c))) c)) | |
| 97.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) c) (/.f64 (*.f64 b b) c) (*.f64 (/.f64 a c) #s(literal -3/8 binary64))) (pow.f64 b #s(literal 3 binary64))))) (*.f64 c c))) c)) | |
| ▶ | 97.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c))) c)) |
| ✓ | 90.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
| 98.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (/.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal -135/128 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)))) b))) | |
| 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 a #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))))) | |
| 97.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 9/16 binary64) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))))) | |
| 97.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64))))) | |
| 97.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 c b) (/.f64 (*.f64 (*.f64 #s(literal 3/8 binary64) c) c) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 a))) (*.f64 a a)))) |
Compiled 5 355 to 3 225 computations (39.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c)) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c))) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c))) c) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c))) c)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 12 | (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| cost-diff | 2 | (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) | |
| cost-diff | 0 | (/.f64 b c) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| cost-diff | 0 | #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) | |
| cost-diff | 0 | (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| cost-diff | 2 | (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 1029 |
| 0 | 165 | 1005 |
| 1 | 293 | 997 |
| 2 | 619 | 981 |
| 3 | 1508 | 957 |
| 4 | 2317 | 957 |
| 5 | 3345 | 957 |
| 6 | 5239 | 957 |
| 0 | 8085 | 935 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) |
(fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) |
(*.f64 #s(literal -135/128 binary64) (*.f64 a a)) |
#s(literal -135/128 binary64) |
(*.f64 a a) |
a |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) |
(*.f64 #s(literal -3/8 binary64) (*.f64 b b)) |
#s(literal -3/8 binary64) |
(*.f64 b b) |
b |
(*.f64 c c) |
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) a) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -9/16 binary64) |
(pow.f64 b #s(literal 7 binary64)) |
#s(literal 7 binary64) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
#s(literal -1/2 binary64) |
(/.f64 c b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
#s(literal -1/2 binary64) |
(/.f64 b c) |
b |
c |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b) |
(fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) |
(/.f64 (*.f64 #s(literal -3/8 binary64) a) b) |
(*.f64 #s(literal -3/8 binary64) a) |
#s(literal -3/8 binary64) |
a |
b |
(/.f64 (*.f64 c c) b) |
(*.f64 c c) |
c |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) |
(sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(neg.f64 b) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c))) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c))) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c)) |
(fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 a a) |
a |
(pow.f64 b #s(literal 5 binary64)) |
b |
#s(literal 5 binary64) |
#s(literal -9/16 binary64) |
#s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c)) |
(/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c) |
(fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) |
#s(literal -3/8 binary64) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(literal -1/2 binary64) (*.f64 c b)) |
#s(literal -1/2 binary64) |
(*.f64 c b) |
c |
(*.f64 c c) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 (*.f64 (*.f64 c b) b) (*.f64 c (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64)))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 (*.f64 (*.f64 c b) b) (*.f64 c (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64)))))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 (*.f64 (*.f64 c b) b) (*.f64 c (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64)))))) (pow.f64 b #s(literal 7 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) |
(/.f64 (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 (*.f64 (*.f64 c b) b) (*.f64 c (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64)))))) (pow.f64 b #s(literal 7 binary64))) |
(fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) |
(fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (*.f64 #s(literal -135/128 binary64) a) (*.f64 (*.f64 (*.f64 c b) b) (*.f64 c (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64)))))) |
(*.f64 #s(literal -135/128 binary64) (*.f64 a a)) |
(*.f64 (*.f64 a a) #s(literal -135/128 binary64)) |
#s(literal -135/128 binary64) |
(*.f64 a a) |
a |
(pow.f64 c #s(literal 4 binary64)) |
c |
#s(literal 4 binary64) |
(*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b)) |
(*.f64 (*.f64 (*.f64 c b) b) (*.f64 c (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))))) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) |
(*.f64 (*.f64 c (fma.f64 (*.f64 c a) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64)))) c) |
(*.f64 #s(literal -3/8 binary64) (*.f64 b b)) |
(*.f64 (*.f64 b b) #s(literal -3/8 binary64)) |
#s(literal -3/8 binary64) |
(*.f64 b b) |
b |
(*.f64 c c) |
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) a) |
(pow.f64 c #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(literal -9/16 binary64) |
(pow.f64 b #s(literal 7 binary64)) |
#s(literal 7 binary64) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 c b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
#s(literal -1/2 binary64) |
(/.f64 b c) |
b |
c |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 a b) b) #s(literal -3/8 binary64)) c #s(literal -1/2 binary64)) (/.f64 c b))) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 a b) b) #s(literal -3/8 binary64)) c #s(literal -1/2 binary64)) (/.f64 c b)) |
(fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) |
(*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 a b) b) #s(literal -3/8 binary64)) c #s(literal -1/2 binary64)) c) |
(/.f64 (*.f64 #s(literal -3/8 binary64) a) b) |
(*.f64 #s(literal -3/8 binary64) a) |
#s(literal -3/8 binary64) |
a |
b |
(/.f64 (*.f64 c c) b) |
(*.f64 (/.f64 c b) c) |
(*.f64 c c) |
c |
(*.f64 #s(literal -1/2 binary64) c) |
#s(literal -1/2 binary64) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(neg.f64 b) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) a) a #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) a (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) c))) (*.f64 c c))) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c))) c) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) a) a #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) a (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) c))) (*.f64 c c))) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c))) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) a) a #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) a (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) c))) (*.f64 c c))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c)) |
(*.f64 (fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) a) a #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) a (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) c))) (*.f64 c c)) |
(fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) |
(fma.f64 (*.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) a) a #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) a (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) c))) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) |
(*.f64 a a) |
a |
(pow.f64 b #s(literal 5 binary64)) |
b |
#s(literal 5 binary64) |
#s(literal -9/16 binary64) |
#s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c)) |
#s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) a (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) c)) |
(/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c) |
(/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) a (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) c) |
(fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) |
(fma.f64 (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64))) a (/.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
#s(literal -3/8 binary64) |
(/.f64 a (pow.f64 b #s(literal 3 binary64))) |
(pow.f64 b #s(literal 3 binary64)) |
#s(literal 3 binary64) |
(/.f64 #s(literal -1/2 binary64) (*.f64 c b)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
#s(literal -1/2 binary64) |
(*.f64 c b) |
c |
(*.f64 c c) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.29296875 | (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c))) c) | |
| accuracy | 0.3515625 | (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c)) | |
| accuracy | 0.375 | (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) | |
| accuracy | 1.3079366219090596 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c))) c)) | |
| accuracy | 0.03125 | (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) | |
| accuracy | 0.0546875 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| accuracy | 0.40853500976844204 | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 51.98076402779234 | (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) | |
| accuracy | 0.07421875 | (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b) | |
| accuracy | 0.23046875 | (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) | |
| accuracy | 0.2421875 | (/.f64 (*.f64 c c) b) | |
| accuracy | 2.511792304737967 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| accuracy | 0.0 | (/.f64 b c) | |
| accuracy | 0.26953125 | (/.f64 #s(literal -1/2 binary64) (/.f64 b c)) | |
| accuracy | 6.056392163489693 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) | |
| accuracy | 0.3359375 | (*.f64 (pow.f64 c #s(literal 3 binary64)) a) | |
| accuracy | 0.3515625 | (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b)) | |
| accuracy | 0.37728500976844204 | (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) | |
| accuracy | 0.8833257155859331 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
| 367.0ms | 209× | 1 | valid |
| 30.0ms | 47× | 0 | valid |
Compiled 675 to 104 computations (84.6% saved)
ival-div: 155.0ms (48.1% of total)ival-mult: 73.0ms (22.7% of total)adjust: 28.0ms (8.7% of total)ival-add: 26.0ms (8.1% of total)ival-pow: 20.0ms (6.2% of total)ival-sqrt: 10.0ms (3.1% of total)const: 4.0ms (1.2% of total)ival-neg: 3.0ms (0.9% of total)ival-sub: 2.0ms (0.6% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
(/.f64 b c) |
(fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b) |
(/.f64 (*.f64 #s(literal -3/8 binary64) a) b) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c))) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c))) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c)) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b)) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) a) |
(/.f64 (*.f64 c c) b) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) |
| Outputs |
|---|
(* -3/8 (* (pow b 2) (pow c 2))) |
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -3/8 (/ a b)) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (pow 1 1/4) (sqrt b)) |
(+ (* -3/4 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* a (+ (* -3/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -9/8 (/ (pow c 2) (pow b 4))) (* 9/32 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* a (+ (* -3/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b) (+ (* -9/8 (/ (pow c 2) (pow b 4))) (* 9/32 (/ (pow c 2) (pow b 4)))))) (* (pow 1 1/4) (* (* a (+ (* -9/4 (/ (pow c 3) (pow b 6))) (+ (* -9/128 (/ (pow c 3) (pow b 6))) (* 27/32 (/ (pow c 3) (pow b 6)))))) (sqrt b))))))) (* (pow 1 1/4) (sqrt b))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(* -3/8 (* (pow b 4) (pow c 2))) |
(+ (* -9/16 (* a (* (pow b 2) (pow c 3)))) (* -3/8 (* (pow b 4) (pow c 2)))) |
(* a (pow c 3)) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(/ (pow a 2) (pow b 5)) |
(* -9/16 (* a (pow c 3))) |
(* a (+ (* -9/16 (pow c 3)) (* -3/8 (/ (* (pow b 2) (pow c 2)) a)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) |
(+ (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2))))) (pow a 2)))) |
(+ (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/324 (/ (pow b 6) (pow c 3))) (+ (* -1/10368 (/ (pow b 6) (pow c 3))) (* 1/864 (/ (pow b 6) (pow c 3)))))) (pow a 3))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b)))) |
(* -9/16 (* a (* (pow b 2) (pow c 3)))) |
(* a (+ (* -9/16 (* (pow b 2) (pow c 3))) (* -3/8 (/ (* (pow b 4) (pow c 2)) a)))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 3))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) |
(+ (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2))))) a)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a))))))) c))) a))) |
(+ (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/864 (/ (pow b 6) (pow c 3))) (+ (* 1/10368 (/ (pow b 6) (pow c 3))) (* 1/324 (/ (pow b 6) (pow c 3)))))) a)) (* (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2)))))) a)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a))))))) c))) a))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(/ b c) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(pow (* -3 (* a c)) 1/4) |
(+ (* -1/12 (* (pow (/ -3 (* (pow a 3) (pow c 3))) 1/4) (pow b 2))) (pow (* -3 (* a c)) 1/4)) |
(+ (* (pow b 2) (+ (* -1/12 (pow (/ -3 (* (pow a 3) (pow c 3))) 1/4)) (* -1/96 (* (pow (/ -3 (* (pow a 7) (pow c 7))) 1/4) (pow b 2))))) (pow (* -3 (* a c)) 1/4)) |
(+ (* (pow b 2) (+ (* -1/12 (pow (/ -3 (* (pow a 3) (pow c 3))) 1/4)) (* (pow b 2) (+ (* -1/96 (pow (/ -3 (* (pow a 7) (pow c 7))) 1/4)) (* -7/3456 (* (pow (/ -3 (* (pow a 11) (pow c 11))) 1/4) (pow b 2))))))) (pow (* -3 (* a c)) 1/4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* -3/8 (* a (* (pow b 2) c)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))) |
(/ (pow c 2) b) |
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(sqrt b) |
(+ (sqrt b) (* -3/4 (* (* a c) (sqrt (/ 1 (pow b 3)))))) |
(+ (sqrt b) (+ (* -3/4 (* (* a c) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 (pow b 7))) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2))))))) |
(+ (sqrt b) (+ (* -3/4 (* (* a c) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt (/ 1 (pow b 7))) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2))))) (* (sqrt (/ 1 (pow b 11))) (+ (* -9/4 (* (pow a 3) (pow c 3))) (+ (* -9/128 (* (pow a 3) (pow c 3))) (* 27/32 (* (pow a 3) (pow c 3))))))))) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b) |
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b)) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* (sqrt b) (sqrt -1)) |
(+ (* -3/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (* (sqrt b) (sqrt -1))) |
(+ (* -3/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2)))))))) |
(+ (* -3/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (+ (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2)))))) (* (sqrt (/ 1 (pow b 11))) (* (sqrt -1) (+ (* -9/4 (* (pow a 3) (pow c 3))) (+ (* -9/128 (* (pow a 3) (pow c 3))) (* 27/32 (* (pow a 3) (pow c 3)))))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ (* c (+ (* -3/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -9/8 (/ (pow a 2) (pow b 4))) (* 9/32 (/ (pow a 2) (pow b 4))))))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* c (+ (* -3/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* c (+ (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -9/4 (/ (pow a 3) (pow b 6))) (+ (* -9/128 (/ (pow a 3) (pow b 6))) (* 27/32 (/ (pow a 3) (pow b 6)))))))) (* (pow 1 1/4) (* (sqrt b) (+ (* -9/8 (/ (pow a 2) (pow b 4))) (* 9/32 (/ (pow a 2) (pow b 4)))))))))) (* (pow 1 1/4) (sqrt b))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(* (pow c 2) (+ (* -9/16 (* a (* (pow b 2) c))) (* -3/8 (pow b 4)))) |
(* (pow c 3) (+ (* -9/16 a) (* -3/8 (/ (pow b 2) c)))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3)))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) |
(+ (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2))))) (pow c 2)))) |
(+ (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2))))) (pow c 2)) (/ (* (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/324 (/ (pow b 6) (pow a 3))) (+ (* -1/10368 (/ (pow b 6) (pow a 3))) (* 1/864 (/ (pow b 6) (pow a 3)))))) (pow c 3))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 3) (+ (* -9/16 (* a (pow b 2))) (* -3/8 (/ (pow b 4) c)))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 a)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2))))) c)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/864 (/ (pow b 6) (pow a 3))) (+ (* 1/10368 (/ (pow b 6) (pow a 3))) (* 1/324 (/ (pow b 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2)))))) c)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2)))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 30.0ms | c | @ | inf | ((+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ -1/2 (/ b c)) (/ b c) (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) b) (/ (* -3/8 a) b) (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) (neg b)) (/ (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) (neg b)) (* 3 a)) (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (* (+ (* (/ (* a a) (pow b 5)) -9/16) (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c))) (* c c)) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b))) (pow b 7)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (* (pow c 3) a) (/ (* c c) b) (+ (* (* -3 c) a) (* b b)) (/ (* a a) (pow b 5))) |
| 12.0ms | b | @ | 0 | ((+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ -1/2 (/ b c)) (/ b c) (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) b) (/ (* -3/8 a) b) (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) (neg b)) (/ (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) (neg b)) (* 3 a)) (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (* (+ (* (/ (* a a) (pow b 5)) -9/16) (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c))) (* c c)) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b))) (pow b 7)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (* (pow c 3) a) (/ (* c c) b) (+ (* (* -3 c) a) (* b b)) (/ (* a a) (pow b 5))) |
| 10.0ms | c | @ | -inf | ((+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ -1/2 (/ b c)) (/ b c) (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) b) (/ (* -3/8 a) b) (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) (neg b)) (/ (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) (neg b)) (* 3 a)) (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (* (+ (* (/ (* a a) (pow b 5)) -9/16) (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c))) (* c c)) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b))) (pow b 7)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (* (pow c 3) a) (/ (* c c) b) (+ (* (* -3 c) a) (* b b)) (/ (* a a) (pow b 5))) |
| 7.0ms | b | @ | inf | ((+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ -1/2 (/ b c)) (/ b c) (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) b) (/ (* -3/8 a) b) (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) (neg b)) (/ (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) (neg b)) (* 3 a)) (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (* (+ (* (/ (* a a) (pow b 5)) -9/16) (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c))) (* c c)) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b))) (pow b 7)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (* (pow c 3) a) (/ (* c c) b) (+ (* (* -3 c) a) (* b b)) (/ (* a a) (pow b 5))) |
| 7.0ms | b | @ | -inf | ((+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ -1/2 (/ b c)) (/ b c) (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) b) (/ (* -3/8 a) b) (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) (neg b)) (/ (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) (neg b)) (* 3 a)) (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (+ (* (* -3 c) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (* (+ (* (/ (* a a) (pow b 5)) -9/16) (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c))) (* c c)) (/ (+ (* (* -135/128 (* a a)) (pow c 4)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b))) (pow b 7)) (* (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (* b b)) (* (pow c 3) a) (/ (* c c) b) (+ (* (* -3 c) a) (* b b)) (/ (* a a) (pow b 5))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1225 | 6926 |
| 1 | 3941 | 6691 |
| 0 | 8258 | 6387 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -3/8 (* (pow b 2) (pow c 2))) |
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(* -3/8 (/ a b)) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (pow 1 1/4) (sqrt b)) |
(+ (* -3/4 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* a (+ (* -3/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -9/8 (/ (pow c 2) (pow b 4))) (* 9/32 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* a (+ (* -3/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b) (+ (* -9/8 (/ (pow c 2) (pow b 4))) (* 9/32 (/ (pow c 2) (pow b 4)))))) (* (pow 1 1/4) (* (* a (+ (* -9/4 (/ (pow c 3) (pow b 6))) (+ (* -9/128 (/ (pow c 3) (pow b 6))) (* 27/32 (/ (pow c 3) (pow b 6)))))) (sqrt b))))))) (* (pow 1 1/4) (sqrt b))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(/ -1/2 b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(* -3/8 (* (pow b 4) (pow c 2))) |
(+ (* -9/16 (* a (* (pow b 2) (pow c 3)))) (* -3/8 (* (pow b 4) (pow c 2)))) |
(* a (pow c 3)) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(/ (pow a 2) (pow b 5)) |
(* -9/16 (* a (pow c 3))) |
(* a (+ (* -9/16 (pow c 3)) (* -3/8 (/ (* (pow b 2) (pow c 2)) a)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
(* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 7))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 2))) |
(* a (+ (* -1/2 (/ c a)) (* -3/8 (/ (pow c 2) (pow b 2))))) |
(* -3/8 (/ (* a (pow c 2)) (pow b 3))) |
(* a (+ (* -1/2 (/ c (* a b))) (* -3/8 (/ (pow c 2) (pow b 3))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) |
(+ (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2))))) (pow a 2)))) |
(+ (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/324 (/ (pow b 6) (pow c 3))) (+ (* -1/10368 (/ (pow b 6) (pow c 3))) (* 1/864 (/ (pow b 6) (pow c 3)))))) (pow a 3))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3)))))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 3) (pow b 5))) (+ (* -1/2 (/ c (* (pow a 2) b))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))))) |
(* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 5))) |
(* (pow a 2) (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3)))))) |
(* (pow a 2) (- (+ (* -9/16 (/ (pow c 2) (pow b 5))) (* -3/8 (/ c (* a (pow b 3))))) (/ 1/2 (* (pow a 2) b)))) |
(* -9/16 (* a (* (pow b 2) (pow c 3)))) |
(* a (+ (* -9/16 (* (pow b 2) (pow c 3))) (* -3/8 (/ (* (pow b 4) (pow c 2)) a)))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 2) (pow c 2)) a)) (* 9/16 (pow c 3))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (pow a 3) (+ (* 9/16 (/ (pow c 3) (* a (pow b 5)))) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -3/8 (/ (pow c 2) (* a (pow b 3))))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* -1 (* (pow a 3) (+ (* -1 (/ (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5)))) a)) (* 135/128 (/ (pow c 4) (pow b 7)))))) |
(* (pow a 2) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ (pow c 2) (* a (pow b 3)))) (* 9/16 (/ (pow c 3) (pow b 5)))) a)))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 2))) (* 1/2 (/ c a))))) |
(* -1 (* a (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) |
(+ (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2))))) a)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a))))))) c))) a))) |
(+ (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/864 (/ (pow b 6) (pow c 3))) (+ (* 1/10368 (/ (pow b 6) (pow c 3))) (* 1/324 (/ (pow b 6) (pow c 3)))))) a)) (* (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2)))))) a)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a))))))) c))) a))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ (pow c 2) (pow b 3))) (* 1/2 (/ c (* a b)))) a)) (* -9/16 (/ (pow c 3) (pow b 5))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* 3/8 (/ c (pow b 3))) (* 1/2 (/ 1 (* a b)))) a)) (* -9/16 (/ (pow c 2) (pow b 5))))) |
(* -1 (* a (+ (* 3/8 (/ (* (pow b 4) (pow c 2)) a)) (* 9/16 (* (pow b 2) (pow c 3)))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* -9/16 (* (pow a 2) (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 3) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* -9/16 (* a (* (pow b 2) (pow c 3))))) (pow b 7)) |
(/ (+ (* -135/128 (* (pow a 2) (pow c 4))) (* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))))) (pow b 7)) |
(/ b c) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 2)) |
(/ (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))) (pow b 3)) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(pow (* -3 (* a c)) 1/4) |
(+ (* -1/12 (* (pow (/ -3 (* (pow a 3) (pow c 3))) 1/4) (pow b 2))) (pow (* -3 (* a c)) 1/4)) |
(+ (* (pow b 2) (+ (* -1/12 (pow (/ -3 (* (pow a 3) (pow c 3))) 1/4)) (* -1/96 (* (pow (/ -3 (* (pow a 7) (pow c 7))) 1/4) (pow b 2))))) (pow (* -3 (* a c)) 1/4)) |
(+ (* (pow b 2) (+ (* -1/12 (pow (/ -3 (* (pow a 3) (pow c 3))) 1/4)) (* (pow b 2) (+ (* -1/96 (pow (/ -3 (* (pow a 7) (pow c 7))) 1/4)) (* -7/3456 (* (pow (/ -3 (* (pow a 11) (pow c 11))) 1/4) (pow b 2))))))) (pow (* -3 (* a c)) 1/4)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* -3/8 (* a (* (pow b 2) (pow c 2))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 3))) (* (pow b 2) (+ (* -1/2 (* (pow b 2) c)) (* -3/8 (* a (pow c 2)))))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* -3/8 (* a (* (pow b 2) c)))) (pow b 5)) |
(/ (+ (* -9/16 (* (pow a 2) (pow c 2))) (* (pow b 2) (+ (* -1/2 (pow b 2)) (* -3/8 (* a c))))) (pow b 5)) |
(* (pow b 2) (+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2))))) |
(/ (pow c 2) b) |
(* (pow b 2) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6))) (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))))) b) |
(/ (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2))) (pow b 3)) |
(/ (+ (* -135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) (pow b 3)) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(sqrt b) |
(+ (sqrt b) (* -3/4 (* (* a c) (sqrt (/ 1 (pow b 3)))))) |
(+ (sqrt b) (+ (* -3/4 (* (* a c) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 (pow b 7))) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2))))))) |
(+ (sqrt b) (+ (* -3/4 (* (* a c) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt (/ 1 (pow b 7))) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2))))) (* (sqrt (/ 1 (pow b 11))) (+ (* -9/4 (* (pow a 3) (pow c 3))) (+ (* -9/128 (* (pow a 3) (pow c 3))) (* 27/32 (* (pow a 3) (pow c 3))))))))) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (- (* -3/8 (/ (* a c) (pow b 2))) 1/2) b) |
(/ (- (+ (* -9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3/8 (/ (* a c) (pow b 2)))) 1/2) b) |
(* (pow b 4) (+ (* -9/16 (/ (* a (pow c 3)) (pow b 2))) (* -3/8 (pow c 2)))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* 3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (* 135/128 (/ (* (pow a 3) (pow c 4)) (pow b 6)))))) b)) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (* 9/16 (/ (* a (pow c 3)) (pow b 2)))) (pow b 3))) |
(* -1 (/ (+ (* 3/8 (pow c 2)) (+ (* 9/16 (/ (* a (pow c 3)) (pow b 2))) (* 135/128 (/ (* (pow a 2) (pow c 4)) (pow b 4))))) (pow b 3))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* (sqrt b) (sqrt -1)) |
(+ (* -3/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (* (sqrt b) (sqrt -1))) |
(+ (* -3/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2)))))))) |
(+ (* -3/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (+ (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2)))))) (* (sqrt (/ 1 (pow b 11))) (* (sqrt -1) (+ (* -9/4 (* (pow a 3) (pow c 3))) (+ (* -9/128 (* (pow a 3) (pow c 3))) (* 27/32 (* (pow a 3) (pow c 3)))))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ (+ 1/2 (* 3/8 (/ (* a c) (pow b 2)))) b)) |
(* -1 (/ (+ 1/2 (+ (* 3/8 (/ (* a c) (pow b 2))) (* 9/16 (/ (* (pow a 2) (pow c 2)) (pow b 4))))) b)) |
(* (pow c 2) (+ (* -9/16 (* a c)) (* -3/8 (pow b 2)))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -135/128 (/ (* (pow a 3) c) (pow b 7))) (* -9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* (pow c 2) (- (* -9/16 (/ (* a c) (pow b 5))) (* 3/8 (/ 1 (pow b 3))))) |
(* (pow c 2) (- (* c (+ (* -135/128 (/ (* (pow a 2) c) (pow b 7))) (* -9/16 (/ a (pow b 5))))) (* 3/8 (/ 1 (pow b 3))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 2))) 1/2)) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ (* c (+ (* -3/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -9/8 (/ (pow a 2) (pow b 4))) (* 9/32 (/ (pow a 2) (pow b 4))))))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* c (+ (* -3/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* c (+ (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -9/4 (/ (pow a 3) (pow b 6))) (+ (* -9/128 (/ (pow a 3) (pow b 6))) (* 27/32 (/ (pow a 3) (pow b 6)))))))) (* (pow 1 1/4) (* (sqrt b) (+ (* -9/8 (/ (pow a 2) (pow b 4))) (* 9/32 (/ (pow a 2) (pow b 4)))))))))) (* (pow 1 1/4) (sqrt b))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))) |
(* (pow c 2) (+ (* -9/16 (* a (* (pow b 2) c))) (* -3/8 (pow b 4)))) |
(* (pow c 3) (+ (* -9/16 a) (* -3/8 (/ (pow b 2) c)))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -9/16 (/ (pow a 2) (* (pow b 5) c))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2))))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 3) (pow b 7))) (+ (* -9/16 (/ (pow a 2) (* (pow b 5) c))) (* -3/8 (/ a (* (pow b 3) (pow c 2)))))) (* 1/2 (/ 1 (* b (pow c 3)))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c))))) |
(* (pow c 4) (- (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -9/16 (/ a (* (pow b 5) c)))) (/ 3/8 (* (pow b 3) (pow c 2))))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) |
(+ (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2))))) (pow c 2)))) |
(+ (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2))))) (pow c 2)) (/ (* (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/324 (/ (pow b 6) (pow a 3))) (+ (* -1/10368 (/ (pow b 6) (pow a 3))) (* 1/864 (/ (pow b 6) (pow a 3)))))) (pow c 3))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* (pow c 3) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 3) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(* (pow c 3) (+ (* -9/16 (* a (pow b 2))) (* -3/8 (/ (pow b 4) c)))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 a)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2))))) c)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/864 (/ (pow b 6) (pow a 3))) (+ (* 1/10368 (/ (pow b 6) (pow a 3))) (* 1/324 (/ (pow b 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2)))))) c)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2)))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
| Outputs |
|---|
(* -3/8 (* (pow b 2) (pow c 2))) |
(*.f64 (*.f64 (*.f64 b b) #s(literal -3/8 binary64)) (*.f64 c c)) |
(+ (* -9/16 (* a (pow c 3))) (* -3/8 (* (pow b 2) (pow c 2)))) |
(fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal -3/8 binary64)) (*.f64 c c))) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(* -3/8 (/ (pow c 2) (pow b 3))) |
(/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64))) |
(+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))) |
(fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) |
(+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -135/128 (/ (* a (pow c 4)) (pow b 7))) (* -9/16 (/ (pow c 3) (pow b 5)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) a) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(* -1/2 c) |
(*.f64 #s(literal -1/2 binary64) c) |
(+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) b) (/.f64 #s(literal -3/8 binary64) b) (*.f64 #s(literal -1/2 binary64) c)) |
(* -3/8 (/ a b)) |
(*.f64 (/.f64 a b) #s(literal -3/8 binary64)) |
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* (pow 1 1/4) (sqrt b)) |
(sqrt.f64 b) |
(+ (* -3/4 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b))) |
(fma.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 a c)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 b)) |
(+ (* a (+ (* -3/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -9/8 (/ (pow c 2) (pow b 4))) (* 9/32 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/32 binary64)) a) (sqrt.f64 b) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) c) #s(literal -3/4 binary64))) a (sqrt.f64 b)) |
(+ (* a (+ (* -3/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b) (+ (* -9/8 (/ (pow c 2) (pow b 4))) (* 9/32 (/ (pow c 2) (pow b 4)))))) (* (pow 1 1/4) (* (* a (+ (* -9/4 (/ (pow c 3) (pow b 6))) (+ (* -9/128 (/ (pow c 3) (pow b 6))) (* 27/32 (/ (pow c 3) (pow b 6)))))) (sqrt b))))))) (* (pow 1 1/4) (sqrt b))) |
(fma.f64 (fma.f64 (*.f64 (sqrt.f64 b) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) #s(literal -27/32 binary64) (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -189/128 binary64)) a))) a (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) c) #s(literal -3/4 binary64))) a (sqrt.f64 b)) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64) b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b) |
(/ -1/2 b) |
(/.f64 #s(literal -1/2 binary64) b) |
(- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))) |
(fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 3 binary64)))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) b)) |
(- (* a (+ (* -9/16 (/ (* a (pow c 2)) (pow b 5))) (* -3/8 (/ c (pow b 3))))) (* 1/2 (/ 1 b))) |
(fma.f64 (fma.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (*.f64 c c) a)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 #s(literal -1/2 binary64) b)) |
(* -3/8 (* (pow b 4) (pow c 2))) |
(*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -3/8 binary64)) (*.f64 c c)) |
(+ (* -9/16 (* a (* (pow b 2) (pow c 3)))) (* -3/8 (* (pow b 4) (pow c 2)))) |
(fma.f64 (*.f64 #s(literal -9/16 binary64) a) (*.f64 (*.f64 b b) (pow.f64 c #s(literal 3 binary64))) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -3/8 binary64)) (*.f64 c c))) |
(* a (pow c 3)) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) a) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(/ (pow a 2) (pow b 5)) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) |
(* -9/16 (* a (pow c 3))) |
(*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64)) |
(* a (+ (* -9/16 (pow c 3)) (* -3/8 (/ (* (pow b 2) (pow c 2)) a)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b b) (/.f64 (*.f64 c c) a)) #s(literal -3/8 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 binary64)) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/6 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64)))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/6 binary64) (fma.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 binary64) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))))) |
(* -135/128 (/ (* (pow a 3) (pow c 4)) (pow b 7))) |
(*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64)) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (* -9/16 (/ (pow c 3) (* a (pow b 5)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) a) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64)))) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3))))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal -9/16 binary64) (pow.f64 b #s(literal 5 binary64))) (/.f64 (pow.f64 c #s(literal 3 binary64)) a) (/.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 b #s(literal 7 binary64))))) (pow.f64 a #s(literal 3 binary64))) |
(* (pow a 3) (+ (* -135/128 (/ (pow c 4) (pow b 7))) (+ (* -9/16 (/ (pow c 3) (* a (pow b 5)))) (+ (* -1/2 (/ c (* (pow a 3) b))) (* -3/8 (/ (pow c 2) (* (pow a 2) (pow b 3)))))))) |
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(* (pow c 2) (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c))))) |
(*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (*.f64 c c)) |
(* (pow c 2) (- (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -3/8 (/ a (* (pow b 3) c)))) (/ 1/2 (* b (pow c 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 c c) b)))) (*.f64 c c)) |
(* (pow c 3) (+ (* -9/16 (* a (pow b 2))) (* -3/8 (/ (pow b 4) c)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 b b) a) #s(literal -9/16 binary64))) (pow.f64 c #s(literal 3 binary64))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 2) c)) (* 9/16 a)))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 b b) c) #s(literal 3/8 binary64) (*.f64 #s(literal 9/16 binary64) a))) (pow.f64 c #s(literal 3 binary64))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (neg.f64 c) (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b a) c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (/.f64 b a) #s(literal -1/3 binary64))) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/3 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 c))) (neg.f64 c)))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 3/8 binary64) c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64)))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 3) (pow b 7))) (* -1 (/ (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))) c)))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))) |
(* (pow c 4) (+ (* -135/128 (/ (pow a 2) (pow b 7))) (* -1 (/ (+ (* 9/16 (/ a (pow b 5))) (* 3/8 (/ 1 (* (pow b 3) c)))) c)))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 a (pow.f64 b #s(literal 5 binary64))) (/.f64 #s(literal 3/8 binary64) (*.f64 (pow.f64 b #s(literal 3 binary64)) c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (neg.f64 b)) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))))) (neg.f64 c)) b) (neg.f64 c)))) |
(exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 3 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) (* a c)))) |
(fma.f64 (/.f64 #s(literal -1/12 binary64) a) (/.f64 (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 3 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (*.f64 b b)) c) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 3 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c))))) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2))))) c)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 3 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 3 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) a)) #s(literal 1/12 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 3 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (neg.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a)) #s(literal -1/96 binary64)) c)))) c)) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/864 (/ (pow b 6) (pow a 3))) (+ (* 1/10368 (/ (pow b 6) (pow a 3))) (* 1/324 (/ (pow b 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2)))))) c)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 3 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 3 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) a)) #s(literal 1/12 binary64) (/.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 3 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (neg.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 7/3456 binary64)) c)) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 3 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a)) #s(literal -1/96 binary64)))) (neg.f64 c))) c)) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))))) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ a (* (pow b 3) c))) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 3/8 binary64) c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 #s(literal 9/16 binary64) (*.f64 a a)) (pow.f64 b #s(literal 5 binary64))))) |
(* -1 (* (pow c 3) (+ (* -1 (/ (- (* -3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* 9/16 (/ (pow a 2) (pow b 5)))))) |
(*.f64 (neg.f64 (pow.f64 c #s(literal 3 binary64))) (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) (neg.f64 c)))) |
(* (pow c 2) (+ (* -1 (/ (+ (* 3/8 (/ a (pow b 3))) (* 1/2 (/ 1 (* b c)))) c)) (* -9/16 (/ (pow a 2) (pow b 5))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 c b))) (neg.f64 c))) (*.f64 c c)) |
(* -1 (* (pow c 3) (+ (* 3/8 (/ (pow b 4) c)) (* 9/16 (* a (pow b 2)))))) |
(*.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal 3/8 binary64) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 9/16 binary64)))) (pow.f64 c #s(literal 3 binary64))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 3 binary64) a (/.f64 (*.f64 b b) (neg.f64 c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 110 | 784 |
| 0 | 165 | 760 |
| 1 | 641 | 740 |
| 2 | 5324 | 740 |
| 0 | 8234 | 718 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b c)) |
(/.f64 b c) |
(fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b) |
(/.f64 (*.f64 #s(literal -3/8 binary64) a) b) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c))) c)) |
(*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c))) c) |
#s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c)) |
(/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 b b)) (*.f64 c c) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal -9/16 binary64))) (*.f64 b b)) |
(*.f64 (pow.f64 c #s(literal 3 binary64)) a) |
(/.f64 (*.f64 c c) b) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 c b) #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) #s(literal 2 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (pow.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal -729/4096 binary64) (*.f64 #s(literal -27/512 binary64) (pow.f64 (*.f64 c b) #s(literal 6 binary64)))) (pow.f64 (fma.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 c b) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (-.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (-.f64 (*.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 c b) #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 c b) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (-.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))))) (fma.f64 (pow.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal -729/4096 binary64) (*.f64 #s(literal -27/512 binary64) (pow.f64 (*.f64 c b) #s(literal 6 binary64))))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) #s(literal 2 binary64)) (*.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 c b) #s(literal 4 binary64)))) (-.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 c b) #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal -729/4096 binary64) (*.f64 #s(literal -27/512 binary64) (pow.f64 (*.f64 c b) #s(literal 6 binary64))))) (neg.f64 (fma.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 c b) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (-.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))))))) |
(/.f64 (-.f64 (*.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 c b) #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) #s(literal 2 binary64))) (fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (-.f64 (*.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 c b) #s(literal 4 binary64))) (pow.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 c b) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (-.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))))) (fma.f64 (pow.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal -729/4096 binary64) (*.f64 #s(literal -27/512 binary64) (pow.f64 (*.f64 c b) #s(literal 6 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal -729/4096 binary64) (*.f64 #s(literal -27/512 binary64) (pow.f64 (*.f64 c b) #s(literal 6 binary64)))) (fma.f64 #s(literal 81/256 binary64) (pow.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal 2 binary64)) (-.f64 (*.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 c b) #s(literal 4 binary64))) (*.f64 (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal 3 binary64)) #s(literal -729/4096 binary64) (*.f64 #s(literal -27/512 binary64) (pow.f64 (*.f64 c b) #s(literal 6 binary64)))) (fma.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 c b) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (-.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64)))))) |
(fma.f64 (*.f64 (*.f64 c c) (*.f64 b #s(literal -3/8 binary64))) b (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(fma.f64 (*.f64 #s(literal -9/16 binary64) a) (pow.f64 c #s(literal 3 binary64)) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) |
(fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(fma.f64 (*.f64 b #s(literal -3/8 binary64)) (*.f64 b (*.f64 c c)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(fma.f64 (*.f64 c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) c (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(fma.f64 (pow.f64 c #s(literal 3/2 binary64)) (*.f64 (pow.f64 c #s(literal 3/2 binary64)) (*.f64 #s(literal -9/16 binary64) a)) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 b b) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(fma.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) a (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) |
(fma.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 a (pow.f64 c #s(literal 3 binary64))) #s(literal -9/16 binary64) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) |
(fma.f64 a (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) |
(fma.f64 (pow.f64 c #s(literal 3 binary64)) (*.f64 #s(literal -9/16 binary64) a) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 c c) (*.f64 (*.f64 #s(literal -9/16 binary64) c) a) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) |
(fma.f64 (*.f64 c c) (*.f64 (*.f64 b b) #s(literal -3/8 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(fma.f64 c (*.f64 (*.f64 c c) (*.f64 #s(literal -9/16 binary64) a)) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) |
(fma.f64 c (*.f64 c (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(fma.f64 (*.f64 (*.f64 b b) #s(literal -3/8 binary64)) (*.f64 c c) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(fma.f64 (*.f64 b b) (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(fma.f64 #s(literal -3/8 binary64) (pow.f64 (*.f64 c b) #s(literal 2 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(-.f64 (/.f64 (*.f64 #s(literal 9/64 binary64) (pow.f64 (*.f64 c b) #s(literal 4 binary64))) (fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))))) (/.f64 (pow.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal 9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))))) |
(+.f64 (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64)) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) |
(+.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64)))) (*.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a) (*.f64 (fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (*.f64 b b))))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a) (*.f64 (fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (*.f64 b b))))) a) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (pow.f64 (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (*.f64 (pow.f64 b #s(literal -7 binary64)) (fma.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal -135/128 binary64)) (*.f64 a a) (*.f64 (fma.f64 (pow.f64 (*.f64 c b) #s(literal 2 binary64)) #s(literal -3/8 binary64) (*.f64 #s(literal -9/16 binary64) (*.f64 a (pow.f64 c #s(literal 3 binary64))))) (*.f64 b b))))) a (*.f64 (/.f64 #s(literal 1/2 binary64) b) c)) #s(literal -1 binary64))) |
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(pow.f64 (/.f64 (*.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 a #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (pow.f64 b #s(literal 5/2 binary64))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 a #s(literal -2 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) a) (/.f64 (pow.f64 b #s(literal 5 binary64)) a)) |
(/.f64 (*.f64 (*.f64 a a) #s(literal 1 binary64)) (pow.f64 b #s(literal 5 binary64))) |
(/.f64 (*.f64 a #s(literal 1 binary64)) (/.f64 (pow.f64 b #s(literal 5 binary64)) a)) |
(/.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5/2 binary64))) (pow.f64 b #s(literal 5/2 binary64))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 a) a)) (neg.f64 (neg.f64 (pow.f64 b #s(literal 5 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 a #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 a #s(literal -2 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 a #s(literal -2 binary64)))) |
(/.f64 (*.f64 (neg.f64 a) a) (neg.f64 (pow.f64 b #s(literal 5 binary64)))) |
(/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) |
(/.f64 a (/.f64 (pow.f64 b #s(literal 5 binary64)) a)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 a) a) (pow.f64 b #s(literal 5 binary64)))) |
(neg.f64 (/.f64 (*.f64 a a) (neg.f64 (pow.f64 b #s(literal 5 binary64))))) |
(exp.f64 (+.f64 (neg.f64 (*.f64 (log.f64 b) #s(literal 5 binary64))) (*.f64 (log.f64 a) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 a) #s(literal 2 binary64) (neg.f64 (*.f64 (log.f64 b) #s(literal 5 binary64))))) |
(exp.f64 (*.f64 (log.f64 (*.f64 (pow.f64 b #s(literal 5 binary64)) (pow.f64 a #s(literal -2 binary64)))) #s(literal -1 binary64))) |
Compiled 51 286 to 4 164 computations (91.9% saved)
55 alts after pruning (50 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 831 | 16 | 847 |
| Fresh | 14 | 34 | 48 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 4 | 4 |
| Total | 849 | 55 | 904 |
| Status | Accuracy | Program |
|---|---|---|
| 19.2% | (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal -1 binary64))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| 18.6% | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| 18.6% | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| 19.0% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64)))) (+.f64 #s(literal 0 binary64) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (-.f64 #s(literal 0 binary64) (*.f64 b b)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (+.f64 #s(literal 0 binary64) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 18.2% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 18.2% | (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)))) | |
| 17.9% | (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 17.6% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| ✓ | 17.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 17.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 13.4% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 18.2% | (/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b))) | |
| 15.7% | (/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)))) | |
| 17.6% | (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) | |
| 97.9% | (/.f64 #s(approx (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) (neg b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 90.1% | (/.f64 #s(approx (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) | |
| 95.4% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 89.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 90.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 17.6% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 17.3% | (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) | |
| 14.9% | (+.f64 (*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) (neg.f64 b))) | |
| 17.6% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) | |
| 17.6% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 19.1% | (*.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 b #s(literal 1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))) | |
| 18.2% | (*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 17.4% | (*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 (*.f64 b #s(literal 1/3 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))) | |
| 18.2% | (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1/3 binary64))) | |
| 90.2% | (*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64)))) | |
| 14.9% | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 b (pow.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a) #s(literal -1 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))))) | |
| 15.8% | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) #s(literal 3 binary64)) a))) | |
| 14.9% | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) a))) | |
| ✓ | 15.2% | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
| 17.6% | (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) a))) | |
| 98.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| 97.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) | |
| 96.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 95.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -1/2 binary64))) a)) b)) | |
| 95.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c))) b)) | |
| 96.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 c b) #s(literal -1/2 binary64)) c)) b)) | |
| ✓ | 90.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
| 90.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b)))) | |
| 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 b a) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)) | |
| 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 9/16 binary64) (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64))) (neg.f64 b))) c)) | |
| 97.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c)) | |
| 95.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)) | |
| 97.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/8 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) c)) | |
| ✓ | 90.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
| 97.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c))) c)) | |
| 97.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 a a)) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c))) c)) | |
| ✓ | 90.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
| 98.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (/.f64 (fma.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal -135/128 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 a a) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) b) (/.f64 #s(literal -3/8 binary64) b) (*.f64 #s(literal -1/2 binary64) c)))) b))) | |
| 97.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (pow.f64 c #s(literal 4 binary64))) (pow.f64 a #s(literal 3 binary64)) (*.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -9/16 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64))))) | |
| 97.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (+ (* (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) a) (* -1/2 (/ c b))) (*.f64 (fma.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -135/128 binary64) (/.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal 9/16 binary64) (/.f64 (fma.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 b c))) (neg.f64 c))) (neg.f64 c))) (pow.f64 c #s(literal 4 binary64))))) | |
| 97.2% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64))))) |
Compiled 7 170 to 2 257 computations (68.5% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 c b) #s(literal -1/2 binary64)) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 b #s(literal 1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 (*.f64 b #s(literal 1/3 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c))) b)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -1/2 binary64))) a)) b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) a)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c c) b)) #s(literal 3/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 b a) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/8 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 9/16 binary64) (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64))) (neg.f64 b))) c)) |
(+.f64 (*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) (neg.f64 b))) |
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#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (*.f64 a a) #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 #s(literal -1/6 binary64) a) (*.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 c #s(literal 4 binary64))) (/.f64 #s(literal 405/64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)))) b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 c b)) #s(literal -1/2 binary64) (/.f64 (*.f64 (pow.f64 a #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 (*.f64 a a) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 (/.f64 a b) #s(literal -3/2 binary64))) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) (neg b)) (*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 c (/.f64 (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 a a)) (pow.f64 b #s(literal 3 binary64)))) c (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) c)) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
5 calls:
| 221.0ms | (*.f64 #s(literal 3 binary64) a) |
| 37.0ms | c |
| 32.0ms | a |
| 27.0ms | b |
| 21.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 1 | a |
| 98.5% | 1 | b |
| 98.5% | 1 | c |
| 98.5% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 98.5% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 c b) #s(literal -1/2 binary64)) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 b #s(literal 1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 (*.f64 b #s(literal 1/3 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c))) b)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -1/2 binary64))) a)) b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) a)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c c) b)) #s(literal 3/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 b a) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/8 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 9/16 binary64) (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64))) (neg.f64 b))) c)) |
(+.f64 (*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) (neg.f64 b))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 b (pow.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a) #s(literal -1 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal -2 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 a a)) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c))) c)) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 c (*.f64 (pow.f64 b #s(literal 3 binary64)) a)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b a) a)))) (*.f64 a a))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) c) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b c) c)))) (*.f64 c c))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (/.f64 (fma.f64 #s(literal 3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1/2 binary64) b) c)) (neg.f64 c))) (*.f64 c c))) c)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) |
5 calls:
| 41.0ms | a |
| 32.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 19.0ms | b |
| 18.0ms | (*.f64 #s(literal 3 binary64) a) |
| 18.0ms | c |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | b |
| 97.9% | 1 | c |
| 97.9% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 97.9% | 1 | a |
| 97.9% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 c b) #s(literal -1/2 binary64)) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 b #s(literal 1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 (*.f64 b #s(literal 1/3 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c))) b)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -1/2 binary64))) a)) b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) a)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c c) b)) #s(literal 3/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 b a) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/8 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 9/16 binary64) (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64))) (neg.f64 b))) c)) |
(+.f64 (*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) (neg.f64 b))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 b (pow.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a) #s(literal -1 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal -2 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) #s(approx (* (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) c) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 (*.f64 b b) c) #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 c c) a) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (*.f64 (pow.f64 b #s(literal -5 binary64)) (*.f64 a a)) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c))) c)) |
(*.f64 (pow.f64 (/.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) (fma.f64 (/.f64 c (*.f64 (pow.f64 b #s(literal 3 binary64)) a)) #s(literal -3/8 binary64) (/.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 b a) a)))) (*.f64 a a))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (*.f64 (fma.f64 (/.f64 (*.f64 a a) (pow.f64 b #s(literal 5 binary64))) #s(literal -9/16 binary64) #s(approx (/ (+ (* 3/8 (/ a (pow b 3))) (/ (/ 1/2 b) c)) (neg c)) (/.f64 (fma.f64 #s(literal -3/8 binary64) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 #s(literal -1/2 binary64) (*.f64 c b))) c))) (*.f64 c c))) c)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
5 calls:
| 32.0ms | b |
| 23.0ms | (*.f64 #s(literal 3 binary64) a) |
| 18.0ms | a |
| 17.0ms | c |
| 15.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | a |
| 97.9% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 97.9% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 97.9% | 1 | b |
| 97.9% | 1 | c |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 c b) #s(literal -1/2 binary64)) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 b #s(literal 1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 (*.f64 b #s(literal 1/3 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c))) b)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -1/2 binary64))) a)) b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) a)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c c) b)) #s(literal 3/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 b a) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/8 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 9/16 binary64) (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64))) (neg.f64 b))) c)) |
(+.f64 (*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a)) (neg.f64 b))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 b (pow.f64 (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a) #s(literal -1 binary64)) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) (pow.f64 b #s(literal -2 binary64)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 c #s(literal -9/16 binary64)) (*.f64 a (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 9/16 binary64) (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64))) (neg.f64 b))) c)) |
5 calls:
| 24.0ms | a |
| 21.0ms | c |
| 19.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 16.0ms | (*.f64 #s(literal 3 binary64) a) |
| 16.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 1 | a |
| 97.5% | 1 | b |
| 97.5% | 1 | c |
| 97.5% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 97.5% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 c b) #s(literal -1/2 binary64)) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 b #s(literal 1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 (*.f64 b #s(literal 1/3 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c))) b)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -1/2 binary64))) a)) b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) a)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c c) b)) #s(literal 3/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 b a) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 a a)) (*.f64 c c) (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/8 binary64))) (*.f64 b b))) (pow.f64 b #s(literal 5 binary64)))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 (fma.f64 (*.f64 b b) #s(literal -1/2 binary64) (*.f64 (*.f64 c a) #s(literal -3/8 binary64))) b) b (*.f64 (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64)) c)) (pow.f64 b #s(literal 5 binary64)))) c)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 b a) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
5 calls:
| 28.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 14.0ms | c |
| 14.0ms | (*.f64 #s(literal 3 binary64) a) |
| 14.0ms | b |
| 14.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 1 | a |
| 97.5% | 1 | b |
| 97.5% | 1 | c |
| 97.5% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 97.5% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 c b) #s(literal -1/2 binary64)) c)) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 1/3 binary64) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (fma.f64 b #s(literal 1/3 binary64) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 (*.f64 b #s(literal 1/3 binary64)) (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 a b) (/.f64 #s(literal -1/2 binary64) c)) (*.f64 c c))) b)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 a #s(literal 3 binary64))) (/.f64 b (*.f64 a #s(literal 3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(approx (+ (* (/ (* -3/8 a) b) (/ (* c c) b)) (* -1/2 c)) (*.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 c c) b) (*.f64 (/.f64 c a) #s(literal -1/2 binary64))) a)) b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (/.f64 (*.f64 a a) (*.f64 b b)) (*.f64 #s(literal -3/2 binary64) (*.f64 c a))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (*.f64 (fma.f64 (/.f64 #s(literal -9/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -3/2 binary64) c)) a)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 #s(literal 3 binary64) a) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (*.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c c) b)) #s(literal 3/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) b) (/.f64 (*.f64 a a) b) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (/.f64 #s(literal 1/3 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 1/3 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) c) a)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(/.f64 (-.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (*.f64 (/.f64 a (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64)) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
(/.f64 (*.f64 (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(literal 3 binary64)) a))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
5 calls:
| 26.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 18.0ms | (*.f64 #s(literal 3 binary64) a) |
| 16.0ms | a |
| 13.0ms | c |
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 1 | a |
| 96.0% | 1 | b |
| 96.0% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 96.0% | 1 | c |
| 96.0% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)) |
5 calls:
| 7.0ms | (*.f64 #s(literal 3 binary64) a) |
| 5.0ms | c |
| 5.0ms | a |
| 5.0ms | b |
| 4.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.7% | 1 | a |
| 95.7% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 95.7% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 95.7% | 1 | b |
| 95.7% | 1 | c |
Compiled 23 to 26 computations (-13% saved)
Total -49.4b remaining (-815.7%)
Threshold costs -49.4b (-815.7%)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (/.f64 b c))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 #s(literal -1 binary64) c) (neg.f64 b)))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) #s(approx (* (- b (sqrt (+ (* (* -3 c) a) (* b b)))) 1/3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 1/2 binary64)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* b b) (* (* -3 a) c)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 #s(approx (+ (* (/ (* (* c c) -9/8) b) (/ (* a a) b)) (* (* c a) -3/2)) (*.f64 (*.f64 c a) #s(literal -3/2 binary64))) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* b b) (* (* -3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
5 calls:
| 3.0ms | (*.f64 #s(literal 3 binary64) a) |
| 3.0ms | b |
| 3.0ms | c |
| 3.0ms | a |
| 3.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.5% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 90.5% | 1 | a |
| 90.5% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 90.5% | 1 | b |
| 90.5% | 1 | c |
Compiled 23 to 26 computations (-13% saved)
| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 491 |
| 1 | 210 | 483 |
| 2 | 445 | 475 |
| 3 | 1079 | 475 |
| 4 | 1937 | 475 |
| 5 | 2841 | 475 |
| 6 | 4526 | 475 |
| 7 | 6770 | 475 |
| 1× | node limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 9/16 binary64) (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64))) (neg.f64 b))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 b a) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (/.f64 (fma.f64 (*.f64 #s(literal -135/128 binary64) (*.f64 a a)) (pow.f64 c #s(literal 4 binary64)) (*.f64 #s(approx (+ (* (* -3/8 (* b b)) (* c c)) (* (* (pow c 3) a) -9/16)) (*.f64 (fma.f64 (*.f64 a c) #s(literal -9/16 binary64) (*.f64 (*.f64 b b) #s(literal -3/8 binary64))) (*.f64 c c))) (*.f64 b b))) (pow.f64 b #s(literal 7 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3/8 binary64) a) b) (/.f64 (*.f64 c c) b) (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (*.f64 #s(literal -1/2 binary64) c))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(approx (+ (* (+ (* (* -1/6 a) (* (/ (pow c 4) (pow b 6)) (/ 405/64 b))) (/ (* -9/16 (pow c 3)) (pow b 5))) a) (/ (* -3/8 (* c c)) (pow b 3))) (*.f64 (fma.f64 (*.f64 a (/.f64 c (pow.f64 b #s(literal 5 binary64)))) #s(literal -9/16 binary64) (/.f64 #s(literal -3/8 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64))) #s(literal 9/16 binary64) (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64))) (neg.f64 b))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 #s(approx (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) (/.f64 (fma.f64 (*.f64 (*.f64 b a) b) #s(literal -3/8 binary64) (*.f64 (*.f64 (*.f64 a a) c) #s(literal -9/16 binary64))) (pow.f64 b #s(literal 5 binary64)))) c (/.f64 #s(literal -1/2 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(approx (+ (* (+ (* (* c -9/16) (* a (/ a (pow b 5)))) (* (/ a (pow b 3)) -3/8)) c) (/ -1/2 b)) (/.f64 (fma.f64 (*.f64 #s(literal 3/8 binary64) a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) (neg.f64 b))) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 470 | 1972 |
| 1 | 1445 | 1955 |
| 2 | 4940 | 1932 |
| 0 | 8189 | 1837 |
| 0 | 110 | 784 |
| 0 | 165 | 760 |
| 1 | 641 | 740 |
| 2 | 5324 | 740 |
| 0 | 8234 | 718 |
| 0 | 1225 | 6926 |
| 1 | 3941 | 6691 |
| 0 | 8258 | 6387 |
| 0 | 1180 | 7202 |
| 1 | 3816 | 7153 |
| 0 | 8313 | 6819 |
| 0 | 874 | 4996 |
| 1 | 2734 | 4957 |
| 0 | 8335 | 4721 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 546 to 221 computations (59.5% saved)
Compiled 1 016 to 302 computations (70.3% saved)
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