
Time bar (total: 7.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 48.3% | 45.2% | 48.4% | 0.1% | 0% | 6.2% | 0% | 8 |
| 53% | 48.4% | 42.9% | 0.1% | 0% | 8.6% | 0% | 9 |
| 58.1% | 50.3% | 36.3% | 0.1% | 0% | 13.3% | 0% | 10 |
| 66.1% | 56.8% | 29.1% | 0.1% | 0% | 14% | 0% | 11 |
| 70.4% | 58.8% | 24.7% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 19 to 14 computations (26.3% saved)
| 588.0ms | 5 629× | 0 | valid |
| 265.0ms | 1 190× | 2 | valid |
| 222.0ms | 1 281× | 1 | valid |
| 75.0ms | 156× | 3 | valid |
| 66.0ms | 928× | 0 | invalid |
ival-mult: 221.0ms (23% of total)ival-sqrt: 165.0ms (17.2% of total)ival-sub: 135.0ms (14.1% of total)adjust: 135.0ms (14.1% of total)ival-div: 117.0ms (12.2% of total)ival-add: 113.0ms (11.8% of total)ival-neg: 57.0ms (5.9% of total)ival-true: 7.0ms (0.7% of total)exact: 6.0ms (0.6% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 100 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| 62 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 13 | 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)) |
| 5 | 0 | - | 0 | - | (-.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 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) a) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) | oflow-rescue | 93 | 0 |
| ↳ | (*.f64 b b) | overflow | 82 | |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | overflow | 19 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | overflow | 93 | |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | cancellation | 62 | 0 |
/.f64 | (/.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)) | u/n | 13 | 0 |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | underflow | 37 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | underflow | 7 | |
| ↳ | (*.f64 b b) | underflow | 43 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | underflow | 21 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) | uflow-rescue | 7 | 0 |
| ↳ | (*.f64 b b) | underflow | 43 | |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | underflow | 37 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | underflow | 7 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | nan-rescue | 5 | 0 |
| ↳ | (*.f64 b b) | overflow | 82 | |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | overflow | 19 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 117 | 0 |
| - | 21 | 118 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 117 | 0 | 0 |
| - | 21 | 0 | 118 |
| number | freq |
|---|---|
| 0 | 118 |
| 1 | 99 |
| 2 | 36 |
| 3 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 30.0ms | 346× | 0 | valid |
| 17.0ms | 74× | 2 | valid |
| 13.0ms | 82× | 1 | valid |
| 3.0ms | 10× | 3 | valid |
Compiled 153 to 40 computations (73.9% saved)
ival-mult: 11.0ms (28.6% of total)adjust: 7.0ms (18.2% of total)ival-sqrt: 6.0ms (15.6% of total)ival-div: 5.0ms (13% of total)ival-sub: 3.0ms (7.8% of total)ival-add: 3.0ms (7.8% of total)ival-neg: 2.0ms (5.2% 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 | 156 | 151 |
| 2 | 460 | 151 |
| 3 | 896 | 151 |
| 4 | 1339 | 151 |
| 5 | 1537 | 151 |
| 6 | 1643 | 151 |
| 0 | 12 | 17 |
| 0 | 20 | 17 |
| 1 | 36 | 17 |
| 2 | 89 | 17 |
| 3 | 180 | 17 |
| 4 | 290 | 17 |
| 5 | 379 | 17 |
| 6 | 415 | 17 |
| 7 | 463 | 17 |
| 0 | 463 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| 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 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64))) |
Compiled 17 to 12 computations (29.4% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.7% | (/.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 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | |
| 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 66 |
| 0 | 20 | 66 |
| 1 | 36 | 66 |
| 2 | 89 | 66 |
| 3 | 180 | 66 |
| 4 | 290 | 66 |
| 5 | 379 | 66 |
| 6 | 415 | 66 |
| 7 | 463 | 66 |
| 0 | 463 | 62 |
| 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 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 a #s(literal 3 binary64))) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) (neg.f64 b)) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.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 | 1.0000000000000002 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| accuracy | 3.3307573533191928 | (/.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 | 14.58787325597011 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | |
| accuracy | 23.393444183990972 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| 35.0ms | 173× | 0 | valid |
| 8.0ms | 37× | 2 | valid |
| 7.0ms | 41× | 1 | valid |
| 2.0ms | 5× | 3 | valid |
Compiled 68 to 14 computations (79.4% saved)
ival-mult: 26.0ms (63.7% of total)ival-sub: 3.0ms (7.4% of total)adjust: 3.0ms (7.4% of total)ival-div: 3.0ms (7.4% of total)ival-sqrt: 3.0ms (7.4% of total)ival-add: 2.0ms (4.9% of total)ival-neg: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.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)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| Outputs |
|---|
(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))))))) |
(* -3/2 (/ (* 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 (* 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)))))) |
(* (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)))))) |
(* -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 (* (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 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) (* (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))))))))) |
(* (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) |
(/ (+ (* -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))))))) |
(* -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)))))))) |
(* 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 (+ (* -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 (- (/ (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))))))) |
(* 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)))))) |
(* -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))))))) |
(* -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)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | a | @ | 0 | ((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 3.0ms | c | @ | -inf | ((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 3.0ms | a | @ | inf | ((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 3.0ms | b | @ | inf | ((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 3.0ms | a | @ | -inf | ((- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 560 | 3023 |
| 1 | 1942 | 3000 |
| 0 | 8064 | 2850 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(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))))))) |
(* -3/2 (/ (* 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 (* 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)))))) |
(* (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)))))) |
(* -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 (* (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 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) (* (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))))))))) |
(* (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) |
(/ (+ (* -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))))))) |
(* -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)))))))) |
(* 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 (+ (* -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 (- (/ (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))))))) |
(* 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)))))) |
(* -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))))))) |
(* -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)))))))) |
| Outputs |
|---|
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) |
(* -1/2 (/ c b)) |
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(* -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 1/6 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)))) (*.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))))) (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 (-.f64 (*.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)))) 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 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (*.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))))) (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 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 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 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 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 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 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))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 51 |
| 0 | 20 | 51 |
| 1 | 65 | 51 |
| 2 | 483 | 50 |
| 3 | 5833 | 49 |
| 0 | 8853 | 45 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.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)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 3 binary64)) (pow.f64 b #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64)))) |
(*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) |
(*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) |
(*.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))))) |
(/.f64 (pow.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) #s(literal 2 binary64))) |
(/.f64 (hypot.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 3 binary64))) (hypot.f64 (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 3 binary64))) |
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(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(neg.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(fabs.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
Compiled 17 801 to 2 122 computations (88.1% saved)
16 alts after pruning (16 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 462 | 16 | 478 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 463 | 16 | 479 |
| Status | Accuracy | Program |
|---|---|---|
| 26.4% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) a))) #s(literal 9 binary64)) | |
| 38.6% | (/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal 3 binary64) a)) | |
| 22.1% | (/.f64 (+.f64 (neg.f64 b) (/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 55.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
| ▶ | 55.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
| ▶ | 17.0% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))))) (*.f64 #s(literal 3 binary64) a)) |
| 18.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64))))) (*.f64 #s(literal 3 binary64) a)) | |
| 40.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 37.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) | |
| 28.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 9.4% | (/.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)) | |
| ▶ | 26.3% | (/.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)) |
| 35.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 35.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) | |
| 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| ▶ | 35.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
Compiled 838 to 586 computations (30.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))))) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 1 | (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 0 | (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) | |
| cost-diff | 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)) | |
| cost-diff | 0 | (/.f64 b a) | |
| cost-diff | 0 | (*.f64 #s(literal -2/3 binary64) (/.f64 b a)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 449 |
| 0 | 93 | 449 |
| 1 | 179 | 446 |
| 2 | 466 | 446 |
| 3 | 1529 | 446 |
| 4 | 4233 | 446 |
| 5 | 7762 | 446 |
| 0 | 8111 | 441 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
a |
c |
(*.f64 b 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(literal -2/3 binary64) (/.f64 b a))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
#s(literal -2/3 binary64) |
(/.f64 b a) |
b |
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)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -3/2 binary64)) |
(/.f64 a b) |
a |
b |
#s(literal -3/2 binary64) |
c |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(*.f64 c #s(literal -3 binary64)) |
c |
#s(literal -3 binary64) |
a |
(*.f64 b b) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))))) |
(neg.f64 b) |
b |
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
(fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 (*.f64 c a) #s(literal 3 binary64)) |
(*.f64 c a) |
c |
a |
#s(literal 3 binary64) |
#s(literal 27 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
#s(literal 6 binary64) |
(-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(*.f64 c #s(literal 3 binary64)) |
(*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) |
(*.f64 a #s(literal 3 binary64)) |
(*.f64 b b) |
(*.f64 #s(literal 3 binary64) a) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) a) |
(*.f64 a #s(literal -3 binary64)) |
#s(literal -3 binary64) |
a |
c |
(*.f64 b 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(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
#s(literal -2/3 binary64) |
(/.f64 b a) |
b |
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 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c) |
(*.f64 (/.f64 a b) #s(literal -3/2 binary64)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 a b)) |
(/.f64 a b) |
a |
b |
#s(literal -3/2 binary64) |
c |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 b)) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b))) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
(*.f64 c #s(literal -3 binary64)) |
c |
#s(literal -3 binary64) |
a |
(*.f64 b b) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) #s(literal -3 binary64)) (*.f64 c a) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))))) |
(+.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) #s(literal -3 binary64)) (*.f64 c a) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 b)) |
(neg.f64 b) |
b |
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) |
(sqrt.f64 (/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) #s(literal -3 binary64)) (*.f64 c a) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
(/.f64 (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) #s(literal -3 binary64)) (*.f64 c a) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) |
(fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) |
(pow.f64 (*.f64 c a) #s(literal 3 binary64)) |
(*.f64 c a) |
c |
a |
#s(literal 3 binary64) |
#s(literal 27 binary64) |
(pow.f64 b #s(literal 6 binary64)) |
#s(literal 6 binary64) |
(-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) |
(fma.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) #s(literal -3 binary64)) (*.f64 c a) (pow.f64 b #s(literal 4 binary64))) |
(pow.f64 b #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) c) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 c #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) c) |
(*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) |
(*.f64 (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) a) |
(fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) |
(*.f64 a #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 b b) |
(*.f64 #s(literal 3 binary64) a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 8.570304243320825 | (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) | |
| accuracy | 14.587914187602848 | (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))))) | |
| accuracy | 23.393444183989526 | (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) | |
| accuracy | 43.87178302800416 | (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) | |
| accuracy | 0.265625 | (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) | |
| accuracy | 3.3268511033191928 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 14.58787325597011 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) | |
| accuracy | 23.393444183990972 | (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) | |
| accuracy | 0.20703125 | (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) | |
| accuracy | 3.3268511033191928 | (/.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)) | |
| accuracy | 6.880215287701989 | (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) | |
| accuracy | 41.723945693911496 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) | |
| accuracy | 0.0 | (/.f64 b a) | |
| accuracy | 0.26953125 | (*.f64 #s(literal -2/3 binary64) (/.f64 b a)) | |
| accuracy | 41.22148756404691 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) | |
| accuracy | 0.0703125 | (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) | |
| accuracy | 3.3268511033191928 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 14.58787325597011 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) | |
| accuracy | 23.393444183990972 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
| 105.0ms | 172× | 0 | valid |
| 69.0ms | 37× | 2 | valid |
| 43.0ms | 41× | 1 | valid |
| 7.0ms | 5× | 3 | valid |
| 0.0ms | 1× | 0 | invalid |
Compiled 450 to 54 computations (88% saved)
ival-mult: 42.0ms (28.4% of total)adjust: 34.0ms (23% of total)ival-sqrt: 21.0ms (14.2% of total)ival-div: 15.0ms (10.1% of total)ival-pow: 13.0ms (8.8% of total)ival-add: 13.0ms (8.8% of total)const: 4.0ms (2.7% of total)ival-sub: 3.0ms (2% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(/.f64 b 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)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -3/2 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) |
| 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))))))) |
(* -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)))))))) |
(* -2/3 (/ b a)) |
(/ b a) |
(* -3/2 (/ a b)) |
(pow b 4) |
(+ (* -3 (* a (* (pow b 2) c))) (pow b 4)) |
(+ (* a (- (* -9 (* a (pow c 2))) (* 3 (* (pow b 2) c)))) (pow b 4)) |
(* 1/2 (/ c b)) |
(+ (* -1/6 (/ (* a (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) b)) (* 1/2 (/ c b))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -1/6 (/ (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2)))) b)) (* 1/6 (/ (* a (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (+ (* -27 (/ (pow c 3) (pow b 4))) (* -3/2 (/ (* c (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) (pow b 2))))))) b))))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -1/6 (/ (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2)))) b)) (* a (+ (* -1/6 (/ (* a (+ (* -162 (/ (pow c 4) (pow b 6))) (+ (* -3 (/ (* c (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (* -27 (/ (pow c 3) (pow b 4)))))) (pow b 2))) (+ (* 1/4 (/ (pow (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2)))) 2) (pow b 2))) (* 3/2 (/ (* c (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (+ (* -27 (/ (pow c 3) (pow b 4))) (* -3/2 (/ (* c (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) (pow b 2))))))) (pow b 2))))))) b)) (* 1/6 (/ (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (+ (* -27 (/ (pow c 3) (pow b 4))) (* -3/2 (/ (* c (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) (pow b 2)))))) b))))))) |
(* 3/2 (/ (* a c) b)) |
(* a (+ (* -1/2 (/ (* a (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) b)) (* 3/2 (/ c b)))) |
(* a (+ (* 3/2 (/ c b)) (* a (+ (* -1/2 (/ (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2)))) b)) (* 1/2 (/ (* a (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (+ (* -27 (/ (pow c 3) (pow b 4))) (* -3/2 (/ (* c (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) (pow b 2))))))) b)))))) |
(* a (+ (* 3/2 (/ c b)) (* a (+ (* -1/2 (/ (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2)))) b)) (* a (+ (* -1/2 (/ (* a (+ (* -162 (/ (pow c 4) (pow b 6))) (+ (* -3 (/ (* c (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (* -27 (/ (pow c 3) (pow b 4)))))) (pow b 2))) (+ (* 1/4 (/ (pow (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2)))) 2) (pow b 2))) (* 3/2 (/ (* c (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (+ (* -27 (/ (pow c 3) (pow b 4))) (* -3/2 (/ (* c (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) (pow b 2))))))) (pow b 2))))))) b)) (* 1/2 (/ (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (+ (* -27 (/ (pow c 3) (pow b 4))) (* -3/2 (/ (* c (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) (pow b 2)))))) b)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* 3 (* a c)) (pow b 2)) |
(+ (* a (- (* 18 (/ (* a (pow c 2)) (pow b 2))) (* -3 c))) (pow b 2)) |
(+ (* a (- (* a (- (* a (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (* -27 (/ (pow c 3) (pow b 4)))))) (* -18 (/ (pow c 2) (pow b 2))))) (* -3 c))) (pow b 2)) |
(+ b (* 3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -1/2 (/ (* a (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) b)) (* 3/2 (/ c b))))) |
(+ b (* a (+ (* 3/2 (/ c b)) (* a (+ (* -1/2 (/ (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2)))) b)) (* 1/2 (/ (* a (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (+ (* -27 (/ (pow c 3) (pow b 4))) (* -3/2 (/ (* c (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) (pow b 2))))))) b))))))) |
(* 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 (* (pow a 2) (pow c 2))) |
(* (pow a 2) (- (* -3 (/ (* (pow b 2) c) a)) (* 9 (pow c 2)))) |
(* (pow a 2) (- (/ (pow b 4) (pow a 2)) (+ (* 3 (/ (* (pow b 2) c) a)) (* 9 (pow c 2))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/9 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (sqrt -3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (- (+ (* -1/3 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (sqrt -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 (+ (* -3 c) (/ (pow b 2) a))) |
(* a (- (+ (* -3 c) (* -2/3 (/ (pow b 4) (* (pow a 2) c)))) (* -1 (/ (pow b 2) a)))) |
(* a (- (+ (* -3 c) (* 2/9 (/ (pow b 6) (* (pow a 3) (pow c 2))))) (+ (* -1 (/ (pow b 2) a)) (* 2/3 (/ (pow b 4) (* (pow a 2) c)))))) |
(* a (+ (* -1/3 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (sqrt -3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 7) c))) (/ (+ (* -2/9 (/ (pow b 6) (pow c 2))) (* 1/4 (/ (* a (pow b 4)) (* c (pow (sqrt -3) 2))))) (sqrt -3)))) (+ (* -1/3 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (sqrt -3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -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 (* (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 (/ (- (* -1 (/ (pow b 4) a)) (* -3 (* (pow b 2) c))) a)) (* 9 (pow c 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/9 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt 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 (* a (+ (* -1 (/ (- (* -2/3 (/ (pow b 4) (* a c))) (* -1 (pow b 2))) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (- (* -2/9 (/ (pow b 6) (* a (pow c 2)))) (* -2/3 (/ (pow b 4) c))) a)) (* -1 (pow b 2))) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt 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 (/ (+ (* 1/3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (sqrt 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (+ (* -1/4 (/ (* a (pow b 4)) (* c (pow (sqrt 3) 2)))) (* -2/9 (/ (pow b 6) (pow c 2))))) (sqrt 3))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(+ (* 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) (* (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 (* a (* (pow b 2) c))) (* 9 (* (pow a 2) (pow c 2)))) |
(- (* (pow b 2) (- (pow b 2) (* 3 (* a c)))) (* 9 (* (pow a 2) (pow c 2)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (+ (* 2/3 (/ 1 (* a c))) (* 1/4 (/ 1 (* a (* c (pow (sqrt -3) 2))))))) (sqrt -3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(+ (* b (- (* b (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (+ (* 2/3 (/ 1 (* a c))) (* 1/4 (/ 1 (* a (* c (pow (sqrt -3) 2))))))) (sqrt -3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* -3 (* a c)) (* (pow b 2) (+ 1 (* -2/3 (/ (pow b 2) (* a c)))))) |
(+ (* -3 (* a c)) (* (pow b 2) (+ 1 (* (pow b 2) (- (* 2/9 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 2/3 (/ 1 (* a c)))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (+ (* 2/3 (/ 1 (* a c))) (* 1/4 (/ 1 (* a (* c (pow (sqrt -3) 2))))))) (sqrt -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) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (+ (* 2/3 (/ 1 (* a c))) (* 1/4 (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (sqrt -3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (- (* 2/9 (/ 1 (* (pow a 2) (pow c 2)))) (* -1/2 (/ (+ (* 2/3 (/ 1 (* a c))) (* 1/4 (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (* a (* c (pow (sqrt -3) 2))))))) (sqrt -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) |
(/ (+ (* -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))))))) |
(* (pow b 4) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* -9 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* 3 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1/6 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (* a (pow b 2)))) (* 1/2 c)) b) |
(/ (+ (* -1/6 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (* a (pow b 2)))) (+ (* 1/6 (/ (- (* 27 (* (pow a 3) (pow c 3))) (+ (* -54 (* (pow a 3) (pow c 3))) (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))))) (* a (pow b 4)))) (* 1/2 c))) b) |
(/ (+ (* -1/6 (/ (+ (* -162 (* (pow a 4) (pow c 4))) (+ (* -3 (* a (* c (- (* 27 (* (pow a 3) (pow c 3))) (+ (* -54 (* (pow a 3) (pow c 3))) (* -27 (* (pow a 3) (pow c 3)))))))) (+ (* 1/4 (pow (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) 2)) (* 3/2 (* a (* c (- (* 27 (* (pow a 3) (pow c 3))) (+ (* -54 (* (pow a 3) (pow c 3))) (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))))))))))) (* a (pow b 6)))) (+ (* -1/6 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (* a (pow b 2)))) (+ (* 1/6 (/ (- (* 27 (* (pow a 3) (pow c 3))) (+ (* -54 (* (pow a 3) (pow c 3))) (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))))) (* a (pow b 4)))) (* 1/2 c)))) b) |
(/ (+ (* -1/2 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 2))) (* 3/2 (* a c))) b) |
(/ (+ (* -1/2 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 2))) (+ (* 1/2 (/ (- (* 27 (* (pow a 3) (pow c 3))) (+ (* -54 (* (pow a 3) (pow c 3))) (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))))) (pow b 4))) (* 3/2 (* a c)))) b) |
(/ (+ (* -1/2 (/ (+ (* -162 (* (pow a 4) (pow c 4))) (+ (* -3 (* a (* c (- (* 27 (* (pow a 3) (pow c 3))) (+ (* -54 (* (pow a 3) (pow c 3))) (* -27 (* (pow a 3) (pow c 3)))))))) (+ (* 1/4 (pow (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) 2)) (* 3/2 (* a (* c (- (* 27 (* (pow a 3) (pow c 3))) (+ (* -54 (* (pow a 3) (pow c 3))) (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))))))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 2))) (+ (* 1/2 (/ (- (* 27 (* (pow a 3) (pow c 3))) (+ (* -54 (* (pow a 3) (pow c 3))) (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))))) (pow b 4))) (* 3/2 (* a c))))) b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* 3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (* 18 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (* 27 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -54 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -27 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -18 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3 (/ (* a c) (pow b 2)))))))) |
(* b (+ 1 (* 3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -1/2 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))) |
(* b (+ 1 (+ (* -1/2 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* 27 (* (pow a 3) (pow c 3))) (+ (* -54 (* (pow a 3) (pow c 3))) (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))))) (pow b 6))) (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -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 (* b (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/6 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (* a (pow b 4)))) (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -1/6 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (* a (pow b 4)))) (+ (* 1/6 (/ (- (* 27 (* (pow a 3) (pow c 3))) (+ (* -54 (* (pow a 3) (pow c 3))) (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))))) (* a (pow b 6)))) (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
(* -1 (* b (+ 2 (* 3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -1/2 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 2 (+ (* -1/2 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* 27 (* (pow a 3) (pow c 3))) (+ (* -54 (* (pow a 3) (pow c 3))) (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))))) (pow b 6))) (* 3/2 (/ (* a c) (pow b 2)))))))) |
(* -1 (* b (+ 1 (* 3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -1/2 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 1 (+ (* -1/2 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* 27 (* (pow a 3) (pow c 3))) (+ (* -54 (* (pow a 3) (pow c 3))) (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))))) (pow b 6))) (* 3/2 (/ (* a c) (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 (+ (* -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 (- (* -9 (* (pow a 2) c)) (* 3 (* a (pow b 2))))) (pow b 4)) |
(* c (+ (* -1/6 (/ (* c (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2))))) (* a b))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -1/6 (/ (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2)))) (* a b))) (* 1/6 (/ (* c (- (* 27 (/ (pow a 3) (pow b 4))) (+ (* -54 (/ (pow a 3) (pow b 4))) (+ (* -27 (/ (pow a 3) (pow b 4))) (* -3/2 (/ (* a (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2))))) (pow b 2))))))) (* a b))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -1/6 (/ (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2)))) (* a b))) (* c (+ (* -1/6 (/ (* c (+ (* -162 (/ (pow a 4) (pow b 6))) (+ (* -3 (/ (* a (- (* 27 (/ (pow a 3) (pow b 4))) (+ (* -54 (/ (pow a 3) (pow b 4))) (* -27 (/ (pow a 3) (pow b 4)))))) (pow b 2))) (+ (* 1/4 (/ (pow (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2)))) 2) (pow b 2))) (* 3/2 (/ (* a (- (* 27 (/ (pow a 3) (pow b 4))) (+ (* -54 (/ (pow a 3) (pow b 4))) (+ (* -27 (/ (pow a 3) (pow b 4))) (* -3/2 (/ (* a (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2))))) (pow b 2))))))) (pow b 2))))))) (* a b))) (* 1/6 (/ (- (* 27 (/ (pow a 3) (pow b 4))) (+ (* -54 (/ (pow a 3) (pow b 4))) (+ (* -27 (/ (pow a 3) (pow b 4))) (* -3/2 (/ (* a (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2))))) (pow b 2)))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -1/2 (/ (* c (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2))))) b)) (* 3/2 (/ a b)))) |
(* c (+ (* 3/2 (/ a b)) (* c (+ (* -1/2 (/ (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2)))) b)) (* 1/2 (/ (* c (- (* 27 (/ (pow a 3) (pow b 4))) (+ (* -54 (/ (pow a 3) (pow b 4))) (+ (* -27 (/ (pow a 3) (pow b 4))) (* -3/2 (/ (* a (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2))))) (pow b 2))))))) b)))))) |
(* c (+ (* 3/2 (/ a b)) (* c (+ (* -1/2 (/ (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2)))) b)) (* c (+ (* -1/2 (/ (* c (+ (* -162 (/ (pow a 4) (pow b 6))) (+ (* -3 (/ (* a (- (* 27 (/ (pow a 3) (pow b 4))) (+ (* -54 (/ (pow a 3) (pow b 4))) (* -27 (/ (pow a 3) (pow b 4)))))) (pow b 2))) (+ (* 1/4 (/ (pow (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2)))) 2) (pow b 2))) (* 3/2 (/ (* a (- (* 27 (/ (pow a 3) (pow b 4))) (+ (* -54 (/ (pow a 3) (pow b 4))) (+ (* -27 (/ (pow a 3) (pow b 4))) (* -3/2 (/ (* a (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2))))) (pow b 2))))))) (pow b 2))))))) b)) (* 1/2 (/ (- (* 27 (/ (pow a 3) (pow b 4))) (+ (* -54 (/ (pow a 3) (pow b 4))) (+ (* -27 (/ (pow a 3) (pow b 4))) (* -3/2 (/ (* a (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2))))) (pow b 2)))))) b)))))))) |
(+ (* c (- (* 18 (/ (* (pow a 2) c) (pow b 2))) (* -3 a))) (pow b 2)) |
(+ (* c (- (* c (- (* c (- (* 27 (/ (pow a 3) (pow b 4))) (+ (* -54 (/ (pow a 3) (pow b 4))) (* -27 (/ (pow a 3) (pow b 4)))))) (* -18 (/ (pow a 2) (pow b 2))))) (* -3 a))) (pow b 2)) |
(+ b (* c (+ (* -1/2 (/ (* c (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2))))) b)) (* 3/2 (/ a b))))) |
(+ b (* c (+ (* 3/2 (/ a b)) (* c (+ (* -1/2 (/ (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2)))) b)) (* 1/2 (/ (* c (- (* 27 (/ (pow a 3) (pow b 4))) (+ (* -54 (/ (pow a 3) (pow b 4))) (+ (* -27 (/ (pow a 3) (pow b 4))) (* -3/2 (/ (* a (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2))))) (pow b 2))))))) b))))))) |
(* 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 (/ (* a (pow b 2)) c)) (* 9 (pow a 2)))) |
(* (pow c 2) (- (/ (pow b 4) (pow c 2)) (+ (* 3 (/ (* a (pow b 2)) c)) (* 9 (pow a 2))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/9 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -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 (- (+ (* -1/3 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (sqrt -3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (- (+ (* -3 a) (* -2/3 (/ (pow b 4) (* a (pow c 2))))) (* -1 (/ (pow b 2) c)))) |
(* c (- (+ (* -3 a) (* 2/9 (/ (pow b 6) (* (pow a 2) (pow c 3))))) (+ (* -1 (/ (pow b 2) c)) (* 2/3 (/ (pow b 4) (* a (pow c 2))))))) |
(* c (+ (* -1/3 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (sqrt -3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 7)))) (/ (+ (* -2/9 (/ (pow b 6) (pow a 2))) (* 1/4 (/ (* (pow b 4) c) (* a (pow (sqrt -3) 2))))) (sqrt -3)))) (+ (* -1/3 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (sqrt -3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* -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)))))))) |
(* (pow c 2) (- (* -1 (/ (- (* -1 (/ (pow b 4) c)) (* -3 (* a (pow b 2)))) c)) (* 9 (pow a 2)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt 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 (+ (* -1 (/ (- (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt 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 (/ (- (* -2/3 (/ (pow b 4) (* a c))) (* -1 (pow b 2))) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (- (* -2/9 (/ (pow b 6) (* (pow a 2) c))) (* -2/3 (/ (pow b 4) a))) c)) (* -1 (pow b 2))) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1/3 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (sqrt 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 (/ (+ (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (sqrt 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (+ (* -1/4 (/ (* (pow b 4) c) (* a (pow (sqrt 3) 2)))) (* -2/9 (/ (pow b 6) (pow a 2))))) (sqrt 3))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | c | @ | 0 | ((/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (/ (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (sqrt (+ (* (* c -3) a) (* b b))) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b))))) (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (+ (* (* -3 a) c) (* b b)) (+ (* (* c -3) a) (* b b)) (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) |
| 8.0ms | a | @ | 0 | ((/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (/ (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (sqrt (+ (* (* c -3) a) (* b b))) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b))))) (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (+ (* (* -3 a) c) (* b b)) (+ (* (* c -3) a) (* b b)) (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) |
| 8.0ms | b | @ | inf | ((/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (/ (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (sqrt (+ (* (* c -3) a) (* b b))) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b))))) (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (+ (* (* -3 a) c) (* b b)) (+ (* (* c -3) a) (* b b)) (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) |
| 6.0ms | b | @ | -inf | ((/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (/ (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (sqrt (+ (* (* c -3) a) (* b b))) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b))))) (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (+ (* (* -3 a) c) (* b b)) (+ (* (* c -3) a) (* b b)) (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) |
| 5.0ms | a | @ | -inf | ((/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (/ (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* c -3) a) (* b b)))) (sqrt (+ (* (* c -3) a) (* b b))) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b))))) (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (+ (* (* -3 a) c) (* b b)) (+ (* (* c -3) a) (* b b)) (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1178 | 7400 |
| 1 | 4221 | 7298 |
| 0 | 9195 | 6950 |
| 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))))))) |
(* -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)))))))) |
(* -2/3 (/ b a)) |
(/ b a) |
(* -3/2 (/ a b)) |
(pow b 4) |
(+ (* -3 (* a (* (pow b 2) c))) (pow b 4)) |
(+ (* a (- (* -9 (* a (pow c 2))) (* 3 (* (pow b 2) c)))) (pow b 4)) |
(* 1/2 (/ c b)) |
(+ (* -1/6 (/ (* a (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) b)) (* 1/2 (/ c b))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -1/6 (/ (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2)))) b)) (* 1/6 (/ (* a (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (+ (* -27 (/ (pow c 3) (pow b 4))) (* -3/2 (/ (* c (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) (pow b 2))))))) b))))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -1/6 (/ (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2)))) b)) (* a (+ (* -1/6 (/ (* a (+ (* -162 (/ (pow c 4) (pow b 6))) (+ (* -3 (/ (* c (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (* -27 (/ (pow c 3) (pow b 4)))))) (pow b 2))) (+ (* 1/4 (/ (pow (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2)))) 2) (pow b 2))) (* 3/2 (/ (* c (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (+ (* -27 (/ (pow c 3) (pow b 4))) (* -3/2 (/ (* c (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) (pow b 2))))))) (pow b 2))))))) b)) (* 1/6 (/ (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (+ (* -27 (/ (pow c 3) (pow b 4))) (* -3/2 (/ (* c (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) (pow b 2)))))) b))))))) |
(* 3/2 (/ (* a c) b)) |
(* a (+ (* -1/2 (/ (* a (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) b)) (* 3/2 (/ c b)))) |
(* a (+ (* 3/2 (/ c b)) (* a (+ (* -1/2 (/ (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2)))) b)) (* 1/2 (/ (* a (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (+ (* -27 (/ (pow c 3) (pow b 4))) (* -3/2 (/ (* c (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) (pow b 2))))))) b)))))) |
(* a (+ (* 3/2 (/ c b)) (* a (+ (* -1/2 (/ (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2)))) b)) (* a (+ (* -1/2 (/ (* a (+ (* -162 (/ (pow c 4) (pow b 6))) (+ (* -3 (/ (* c (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (* -27 (/ (pow c 3) (pow b 4)))))) (pow b 2))) (+ (* 1/4 (/ (pow (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2)))) 2) (pow b 2))) (* 3/2 (/ (* c (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (+ (* -27 (/ (pow c 3) (pow b 4))) (* -3/2 (/ (* c (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) (pow b 2))))))) (pow b 2))))))) b)) (* 1/2 (/ (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (+ (* -27 (/ (pow c 3) (pow b 4))) (* -3/2 (/ (* c (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) (pow b 2)))))) b)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(+ (* 3 (* a c)) (pow b 2)) |
(+ (* a (- (* 18 (/ (* a (pow c 2)) (pow b 2))) (* -3 c))) (pow b 2)) |
(+ (* a (- (* a (- (* a (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (* -27 (/ (pow c 3) (pow b 4)))))) (* -18 (/ (pow c 2) (pow b 2))))) (* -3 c))) (pow b 2)) |
(+ b (* 3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -1/2 (/ (* a (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) b)) (* 3/2 (/ c b))))) |
(+ b (* a (+ (* 3/2 (/ c b)) (* a (+ (* -1/2 (/ (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2)))) b)) (* 1/2 (/ (* a (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (+ (* -27 (/ (pow c 3) (pow b 4))) (* -3/2 (/ (* c (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) (pow b 2))))))) b))))))) |
(* 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 (* (pow a 2) (pow c 2))) |
(* (pow a 2) (- (* -3 (/ (* (pow b 2) c) a)) (* 9 (pow c 2)))) |
(* (pow a 2) (- (/ (pow b 4) (pow a 2)) (+ (* 3 (/ (* (pow b 2) c) a)) (* 9 (pow c 2))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/9 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (sqrt -3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (- (+ (* -1/3 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (sqrt -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 (+ (* -3 c) (/ (pow b 2) a))) |
(* a (- (+ (* -3 c) (* -2/3 (/ (pow b 4) (* (pow a 2) c)))) (* -1 (/ (pow b 2) a)))) |
(* a (- (+ (* -3 c) (* 2/9 (/ (pow b 6) (* (pow a 3) (pow c 2))))) (+ (* -1 (/ (pow b 2) a)) (* 2/3 (/ (pow b 4) (* (pow a 2) c)))))) |
(* a (+ (* -1/3 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (sqrt -3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/2 (* (sqrt (/ 1 (* (pow a 7) c))) (/ (+ (* -2/9 (/ (pow b 6) (pow c 2))) (* 1/4 (/ (* a (pow b 4)) (* c (pow (sqrt -3) 2))))) (sqrt -3)))) (+ (* -1/3 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (sqrt -3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -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 (* (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 (/ (- (* -1 (/ (pow b 4) a)) (* -3 (* (pow b 2) c))) a)) (* 9 (pow c 2)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/9 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt 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 (* a (+ (* -1 (/ (- (* -2/3 (/ (pow b 4) (* a c))) (* -1 (pow b 2))) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (- (* -2/9 (/ (pow b 6) (* a (pow c 2)))) (* -2/3 (/ (pow b 4) c))) a)) (* -1 (pow b 2))) a)) (* 3 c)))) |
(* -1 (* a (+ (* -1/3 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (sqrt 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 (/ (+ (* 1/3 (* (sqrt (/ a (pow c 3))) (/ (* (pow b 4) (sqrt -1)) (sqrt 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (+ (* -1/4 (/ (* a (pow b 4)) (* c (pow (sqrt 3) 2)))) (* -2/9 (/ (pow b 6) (pow c 2))))) (sqrt 3))))) (pow a 3))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(+ (* 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) (* (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 (* a (* (pow b 2) c))) (* 9 (* (pow a 2) (pow c 2)))) |
(- (* (pow b 2) (- (pow b 2) (* 3 (* a c)))) (* 9 (* (pow a 2) (pow c 2)))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (+ (* 2/3 (/ 1 (* a c))) (* 1/4 (/ 1 (* a (* c (pow (sqrt -3) 2))))))) (sqrt -3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(+ (* b (- (* b (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (+ (* 2/3 (/ 1 (* a c))) (* 1/4 (/ 1 (* a (* c (pow (sqrt -3) 2))))))) (sqrt -3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* -3 (* a c)) (* (pow b 2) (+ 1 (* -2/3 (/ (pow b 2) (* a c)))))) |
(+ (* -3 (* a c)) (* (pow b 2) (+ 1 (* (pow b 2) (- (* 2/9 (/ (pow b 2) (* (pow a 2) (pow c 2)))) (* 2/3 (/ 1 (* a c)))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (+ (* 2/3 (/ 1 (* a c))) (* 1/4 (/ 1 (* a (* c (pow (sqrt -3) 2))))))) (sqrt -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) (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (+ (* 2/3 (/ 1 (* a c))) (* 1/4 (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (sqrt -3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (- (* 2/9 (/ 1 (* (pow a 2) (pow c 2)))) (* -1/2 (/ (+ (* 2/3 (/ 1 (* a c))) (* 1/4 (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (* a (* c (pow (sqrt -3) 2))))))) (sqrt -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) |
(/ (+ (* -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))))))) |
(* (pow b 4) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 4) (- (+ 1 (* -9 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* 3 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1/6 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (* a (pow b 2)))) (* 1/2 c)) b) |
(/ (+ (* -1/6 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (* a (pow b 2)))) (+ (* 1/6 (/ (- (* 27 (* (pow a 3) (pow c 3))) (+ (* -54 (* (pow a 3) (pow c 3))) (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))))) (* a (pow b 4)))) (* 1/2 c))) b) |
(/ (+ (* -1/6 (/ (+ (* -162 (* (pow a 4) (pow c 4))) (+ (* -3 (* a (* c (- (* 27 (* (pow a 3) (pow c 3))) (+ (* -54 (* (pow a 3) (pow c 3))) (* -27 (* (pow a 3) (pow c 3)))))))) (+ (* 1/4 (pow (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) 2)) (* 3/2 (* a (* c (- (* 27 (* (pow a 3) (pow c 3))) (+ (* -54 (* (pow a 3) (pow c 3))) (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))))))))))) (* a (pow b 6)))) (+ (* -1/6 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (* a (pow b 2)))) (+ (* 1/6 (/ (- (* 27 (* (pow a 3) (pow c 3))) (+ (* -54 (* (pow a 3) (pow c 3))) (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))))) (* a (pow b 4)))) (* 1/2 c)))) b) |
(/ (+ (* -1/2 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 2))) (* 3/2 (* a c))) b) |
(/ (+ (* -1/2 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 2))) (+ (* 1/2 (/ (- (* 27 (* (pow a 3) (pow c 3))) (+ (* -54 (* (pow a 3) (pow c 3))) (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))))) (pow b 4))) (* 3/2 (* a c)))) b) |
(/ (+ (* -1/2 (/ (+ (* -162 (* (pow a 4) (pow c 4))) (+ (* -3 (* a (* c (- (* 27 (* (pow a 3) (pow c 3))) (+ (* -54 (* (pow a 3) (pow c 3))) (* -27 (* (pow a 3) (pow c 3)))))))) (+ (* 1/4 (pow (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) 2)) (* 3/2 (* a (* c (- (* 27 (* (pow a 3) (pow c 3))) (+ (* -54 (* (pow a 3) (pow c 3))) (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))))))))))) (pow b 6))) (+ (* -1/2 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 2))) (+ (* 1/2 (/ (- (* 27 (* (pow a 3) (pow c 3))) (+ (* -54 (* (pow a 3) (pow c 3))) (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))))) (pow b 4))) (* 3/2 (* a c))))) b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* 3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (* 18 (/ (* (pow a 2) (pow c 2)) (pow b 4)))) (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (- (+ 1 (* 27 (/ (* (pow a 3) (pow c 3)) (pow b 6)))) (+ (* -54 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -27 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -18 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -3 (/ (* a c) (pow b 2)))))))) |
(* b (+ 1 (* 3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -1/2 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))) |
(* b (+ 1 (+ (* -1/2 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* 27 (* (pow a 3) (pow c 3))) (+ (* -54 (* (pow a 3) (pow c 3))) (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))))) (pow b 6))) (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -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 (* b (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/6 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (* a (pow b 4)))) (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -1/6 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (* a (pow b 4)))) (+ (* 1/6 (/ (- (* 27 (* (pow a 3) (pow c 3))) (+ (* -54 (* (pow a 3) (pow c 3))) (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))))) (* a (pow b 6)))) (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))))) |
(* -1 (* b (+ 2 (* 3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -1/2 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 2 (+ (* -1/2 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* 27 (* (pow a 3) (pow c 3))) (+ (* -54 (* (pow a 3) (pow c 3))) (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))))) (pow b 6))) (* 3/2 (/ (* a c) (pow b 2)))))))) |
(* -1 (* b (+ 1 (* 3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -1/2 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 1 (+ (* -1/2 (/ (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))) (pow b 4))) (+ (* 1/2 (/ (- (* 27 (* (pow a 3) (pow c 3))) (+ (* -54 (* (pow a 3) (pow c 3))) (+ (* -27 (* (pow a 3) (pow c 3))) (* -3/2 (* a (* c (+ (* -18 (* (pow a 2) (pow c 2))) (* 9/4 (* (pow a 2) (pow c 2)))))))))) (pow b 6))) (* 3/2 (/ (* a c) (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 (+ (* -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 (- (* -9 (* (pow a 2) c)) (* 3 (* a (pow b 2))))) (pow b 4)) |
(* c (+ (* -1/6 (/ (* c (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2))))) (* a b))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -1/6 (/ (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2)))) (* a b))) (* 1/6 (/ (* c (- (* 27 (/ (pow a 3) (pow b 4))) (+ (* -54 (/ (pow a 3) (pow b 4))) (+ (* -27 (/ (pow a 3) (pow b 4))) (* -3/2 (/ (* a (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2))))) (pow b 2))))))) (* a b))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -1/6 (/ (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2)))) (* a b))) (* c (+ (* -1/6 (/ (* c (+ (* -162 (/ (pow a 4) (pow b 6))) (+ (* -3 (/ (* a (- (* 27 (/ (pow a 3) (pow b 4))) (+ (* -54 (/ (pow a 3) (pow b 4))) (* -27 (/ (pow a 3) (pow b 4)))))) (pow b 2))) (+ (* 1/4 (/ (pow (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2)))) 2) (pow b 2))) (* 3/2 (/ (* a (- (* 27 (/ (pow a 3) (pow b 4))) (+ (* -54 (/ (pow a 3) (pow b 4))) (+ (* -27 (/ (pow a 3) (pow b 4))) (* -3/2 (/ (* a (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2))))) (pow b 2))))))) (pow b 2))))))) (* a b))) (* 1/6 (/ (- (* 27 (/ (pow a 3) (pow b 4))) (+ (* -54 (/ (pow a 3) (pow b 4))) (+ (* -27 (/ (pow a 3) (pow b 4))) (* -3/2 (/ (* a (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2))))) (pow b 2)))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -1/2 (/ (* c (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2))))) b)) (* 3/2 (/ a b)))) |
(* c (+ (* 3/2 (/ a b)) (* c (+ (* -1/2 (/ (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2)))) b)) (* 1/2 (/ (* c (- (* 27 (/ (pow a 3) (pow b 4))) (+ (* -54 (/ (pow a 3) (pow b 4))) (+ (* -27 (/ (pow a 3) (pow b 4))) (* -3/2 (/ (* a (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2))))) (pow b 2))))))) b)))))) |
(* c (+ (* 3/2 (/ a b)) (* c (+ (* -1/2 (/ (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2)))) b)) (* c (+ (* -1/2 (/ (* c (+ (* -162 (/ (pow a 4) (pow b 6))) (+ (* -3 (/ (* a (- (* 27 (/ (pow a 3) (pow b 4))) (+ (* -54 (/ (pow a 3) (pow b 4))) (* -27 (/ (pow a 3) (pow b 4)))))) (pow b 2))) (+ (* 1/4 (/ (pow (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2)))) 2) (pow b 2))) (* 3/2 (/ (* a (- (* 27 (/ (pow a 3) (pow b 4))) (+ (* -54 (/ (pow a 3) (pow b 4))) (+ (* -27 (/ (pow a 3) (pow b 4))) (* -3/2 (/ (* a (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2))))) (pow b 2))))))) (pow b 2))))))) b)) (* 1/2 (/ (- (* 27 (/ (pow a 3) (pow b 4))) (+ (* -54 (/ (pow a 3) (pow b 4))) (+ (* -27 (/ (pow a 3) (pow b 4))) (* -3/2 (/ (* a (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2))))) (pow b 2)))))) b)))))))) |
(+ (* c (- (* 18 (/ (* (pow a 2) c) (pow b 2))) (* -3 a))) (pow b 2)) |
(+ (* c (- (* c (- (* c (- (* 27 (/ (pow a 3) (pow b 4))) (+ (* -54 (/ (pow a 3) (pow b 4))) (* -27 (/ (pow a 3) (pow b 4)))))) (* -18 (/ (pow a 2) (pow b 2))))) (* -3 a))) (pow b 2)) |
(+ b (* c (+ (* -1/2 (/ (* c (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2))))) b)) (* 3/2 (/ a b))))) |
(+ b (* c (+ (* 3/2 (/ a b)) (* c (+ (* -1/2 (/ (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2)))) b)) (* 1/2 (/ (* c (- (* 27 (/ (pow a 3) (pow b 4))) (+ (* -54 (/ (pow a 3) (pow b 4))) (+ (* -27 (/ (pow a 3) (pow b 4))) (* -3/2 (/ (* a (+ (* -18 (/ (pow a 2) (pow b 2))) (* 9/4 (/ (pow a 2) (pow b 2))))) (pow b 2))))))) b))))))) |
(* 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 (/ (* a (pow b 2)) c)) (* 9 (pow a 2)))) |
(* (pow c 2) (- (/ (pow b 4) (pow c 2)) (+ (* 3 (/ (* a (pow b 2)) c)) (* 9 (pow a 2))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/9 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (sqrt -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 (- (+ (* -1/3 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (sqrt -3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (- (+ (* -3 a) (* -2/3 (/ (pow b 4) (* a (pow c 2))))) (* -1 (/ (pow b 2) c)))) |
(* c (- (+ (* -3 a) (* 2/9 (/ (pow b 6) (* (pow a 2) (pow c 3))))) (+ (* -1 (/ (pow b 2) c)) (* 2/3 (/ (pow b 4) (* a (pow c 2))))))) |
(* c (+ (* -1/3 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (sqrt -3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a (pow c 7)))) (/ (+ (* -2/9 (/ (pow b 6) (pow a 2))) (* 1/4 (/ (* (pow b 4) c) (* a (pow (sqrt -3) 2))))) (sqrt -3)))) (+ (* -1/3 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (sqrt -3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* -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)))))))) |
(* (pow c 2) (- (* -1 (/ (- (* -1 (/ (pow b 4) c)) (* -3 (* a (pow b 2)))) c)) (* 9 (pow a 2)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt 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 (+ (* -1 (/ (- (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt 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 (/ (- (* -2/3 (/ (pow b 4) (* a c))) (* -1 (pow b 2))) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (- (* -2/9 (/ (pow b 6) (* (pow a 2) c))) (* -2/3 (/ (pow b 4) a))) c)) (* -1 (pow b 2))) c)) (* 3 a)))) |
(* -1 (* c (+ (* -1/3 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (sqrt 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 (/ (+ (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (sqrt 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (+ (* -1/4 (/ (* (pow b 4) c) (* a (pow (sqrt 3) 2)))) (* -2/9 (/ (pow b 6) (pow a 2))))) (sqrt 3))))) (pow c 3))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
| 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 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (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 #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 (/.f64 c b) #s(literal -1/2 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) |
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) |
(* -2/3 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(/ b a) |
(/.f64 b a) |
(* -3/2 (/ a b)) |
(*.f64 (/.f64 a b) #s(literal -3/2 binary64)) |
(pow b 4) |
(pow.f64 b #s(literal 4 binary64)) |
(+ (* -3 (* a (* (pow b 2) c))) (pow b 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b b) c) a) #s(literal -3 binary64) (pow.f64 b #s(literal 4 binary64))) |
(+ (* a (- (* -9 (* a (pow c 2))) (* 3 (* (pow b 2) c)))) (pow b 4)) |
(fma.f64 (fma.f64 (*.f64 #s(literal -9 binary64) a) (*.f64 c c) (*.f64 (*.f64 (*.f64 b b) c) #s(literal -3 binary64))) a (pow.f64 b #s(literal 4 binary64))) |
(* 1/2 (/ c b)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 c b)) |
(+ (* -1/6 (/ (* a (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) b)) (* 1/2 (/ c b))) |
(/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (*.f64 (/.f64 c b) (/.f64 c b)) #s(literal -63/4 binary64)) a) (*.f64 #s(literal 1/2 binary64) c)) b) |
(+ (* 1/2 (/ c b)) (* a (+ (* -1/6 (/ (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2)))) b)) (* 1/6 (/ (* a (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (+ (* -27 (/ (pow c 3) (pow b 4))) (* -3/2 (/ (* c (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) (pow b 2))))))) b))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal 1/6 binary64) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -81 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (/.f64 c b)) #s(literal -63/4 binary64)) b) (/.f64 c b)) #s(literal -3/2 binary64)))) a) (*.f64 #s(literal -1/6 binary64) (*.f64 (*.f64 (/.f64 c b) (/.f64 c b)) #s(literal -63/4 binary64)))) b) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -1/6 (/ (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2)))) b)) (* a (+ (* -1/6 (/ (* a (+ (* -162 (/ (pow c 4) (pow b 6))) (+ (* -3 (/ (* c (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (* -27 (/ (pow c 3) (pow b 4)))))) (pow b 2))) (+ (* 1/4 (/ (pow (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2)))) 2) (pow b 2))) (* 3/2 (/ (* c (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (+ (* -27 (/ (pow c 3) (pow b 4))) (* -3/2 (/ (* c (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) (pow b 2))))))) (pow b 2))))))) b)) (* 1/6 (/ (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (+ (* -27 (/ (pow c 3) (pow b 4))) (* -3/2 (/ (* c (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) (pow b 2)))))) b))))))) |
(fma.f64 (fma.f64 (/.f64 (fma.f64 #s(literal -1/6 binary64) (*.f64 (fma.f64 #s(literal -162 binary64) (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (/.f64 #s(literal -3 binary64) b) (/.f64 (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -81 binary64))) c) b) (/.f64 (fma.f64 #s(literal 3/2 binary64) (*.f64 (-.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -81 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (/.f64 c b)) #s(literal -63/4 binary64)) b) (/.f64 c b)) #s(literal -3/2 binary64)))) c) (*.f64 #s(literal 1/4 binary64) (pow.f64 (*.f64 (*.f64 (/.f64 c b) (/.f64 c b)) #s(literal -63/4 binary64)) #s(literal 2 binary64)))) (*.f64 b b)))) a) (*.f64 #s(literal 1/6 binary64) (-.f64 (/.f64 (*.f64 #s(literal 27 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal -81 binary64) (*.f64 (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (/.f64 c b)) #s(literal -63/4 binary64)) b) (/.f64 c b)) #s(literal -3/2 binary64)))))) b) a (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 c b) (/.f64 c b)) #s(literal -63/4 binary64)) b) #s(literal -1/6 binary64))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(* 3/2 (/ (* a c) b)) |
(*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b))) |
(* a (+ (* -1/2 (/ (* a (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) b)) (* 3/2 (/ c b)))) |
(*.f64 (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (*.f64 (/.f64 c b) (/.f64 c b)) #s(literal -63/4 binary64)) a) (*.f64 #s(literal 3/2 binary64) c)) b) a) |
(* a (+ (* 3/2 (/ c b)) (* a (+ (* -1/2 (/ (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2)))) b)) (* 1/2 (/ (* a (- (* 27 (/ (pow c 3) (pow b 4))) (+ (* -54 (/ (pow c 3) (pow b 4))) (+ (* -27 (/ (pow c 3) (pow b 4))) (* -3/2 (/ (* c (+ (* -18 (/ (pow c 2) (pow b 2))) (* 9/4 (/ (pow c 2) (pow b 2))))) (pow b 2))))))) b)))))) |
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(*.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 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 (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 #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))))))) |
(* (pow c 2) (- (* -1 (/ (- (* -1 (/ (pow b 4) c)) (* -3 (* a (pow b 2)))) c)) (* 9 (pow a 2)))) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) c) #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 b b) a) #s(literal 3 binary64))) c) #s(literal -1 binary64) (*.f64 #s(literal -9 binary64) (*.f64 a a))) (*.f64 c c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/9 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt 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 #s(literal -1/3 binary64) (/.f64 b a) (/.f64 (fma.f64 (*.f64 #s(literal -1/9 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))) (sqrt.f64 #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)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/3 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (sqrt 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 -1/3 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))) (sqrt.f64 #s(literal 3 binary64))) (*.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))))) (neg.f64 c)) b) (neg.f64 c)))) |
(* -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)))) |
(* -1 (* c (+ (* -1 (/ (- (* -2/3 (/ (pow b 4) (* a c))) (* -1 (pow b 2))) c)) (* 3 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 3 binary64) a (/.f64 (fma.f64 (/.f64 #s(literal -2/3 binary64) c) (/.f64 (pow.f64 b #s(literal 4 binary64)) a) (*.f64 #s(literal 1 binary64) (*.f64 b b))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (- (* -2/9 (/ (pow b 6) (* (pow a 2) c))) (* -2/3 (/ (pow b 4) a))) c)) (* -1 (pow b 2))) c)) (* 3 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 3 binary64) a (/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -2/9 binary64) (*.f64 a a)) (/.f64 (pow.f64 b #s(literal 6 binary64)) c) (*.f64 #s(literal 2/3 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) a))) (neg.f64 c)) (*.f64 (neg.f64 b) b)) (neg.f64 c)))) |
(* -1 (* c (+ (* -1/3 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (sqrt 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))) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/3 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 (/ (+ (* 1/3 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 4) (sqrt -1)) (sqrt 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (sqrt -1) (+ (* -1/4 (/ (* (pow b 4) c) (* a (pow (sqrt 3) 2)))) (* -2/9 (/ (pow b 6) (pow a 2))))) (sqrt 3))))) (pow c 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 (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (/.f64 (*.f64 (fma.f64 (/.f64 #s(literal -2/9 binary64) a) (/.f64 (pow.f64 b #s(literal 6 binary64)) a) (*.f64 #s(literal -1/12 binary64) (/.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) c) a))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))))) (pow.f64 c #s(literal 3 binary64))) #s(literal -1 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)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 328 |
| 0 | 93 | 328 |
| 1 | 344 | 325 |
| 2 | 2155 | 325 |
| 0 | 8818 | 320 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(/.f64 b 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)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -3/2 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))))) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))) |
(sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))))))) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))))) (fma.f64 b b (+.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))))))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (/.f64 b a) #s(literal -3 binary64)))))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) a)) #s(literal -3 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (*.f64 #s(literal 3 binary64) a))))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b))))) (neg.f64 (neg.f64 (*.f64 a #s(literal -3 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a) (*.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))))) (neg.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) a))) #s(literal 9 binary64)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) a) a (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) a) (*.f64 a #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 b)))) (*.f64 #s(literal 3 binary64) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) (neg.f64 b))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #s(literal 3 binary64)) #s(literal 3 binary64) (*.f64 a (/.f64 (neg.f64 b) a))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #s(literal 3 binary64)) a (*.f64 a (/.f64 (neg.f64 b) #s(literal 3 binary64)))) (*.f64 a a)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #s(literal 3 binary64)) (*.f64 a #s(literal -3 binary64)) (*.f64 a (neg.f64 (neg.f64 b)))) (*.f64 a (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) a) (*.f64 a (neg.f64 b))) (*.f64 a (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) #s(literal 3 binary64) (*.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 (neg.f64 b) a))) (*.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 3 binary64))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) a (*.f64 (*.f64 a #s(literal -3 binary64)) (/.f64 (neg.f64 b) #s(literal 3 binary64)))) (*.f64 (*.f64 a #s(literal -3 binary64)) a)) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 a #s(literal -3 binary64)) (*.f64 (*.f64 a #s(literal -3 binary64)) (neg.f64 (neg.f64 b)))) (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a) (*.f64 (*.f64 a #s(literal -3 binary64)) (neg.f64 b))) (*.f64 (*.f64 a #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (neg.f64 b) a))) (*.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 3 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) a (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (neg.f64 b) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) a) a)) |
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(/.f64 (fabs.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))))) (fabs.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))))) |
(/.f64 (fabs.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))))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (sqrt.f64 (*.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (/.f64 (*.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)))) (sqrt.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal 19683 binary64) (pow.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)))) (sqrt.f64 (+.f64 (pow.f64 (/.f64 (*.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))))))) |
(/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 6 binary64))))) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (neg.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))))) (neg.f64 (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))))) |
(/.f64 (neg.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))))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 9/2 binary64)) (pow.f64 b #s(literal 9 binary64))) (sqrt.f64 (*.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 6 binary64)) #s(literal 729 binary64) (*.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.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 (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))))) |
(/.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 (neg.f64 (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.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 (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.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 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(sqrt.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(fabs.f64 (neg.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))))) |
(fabs.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(exp.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))))) (sinh.f64 (log.f64 (sqrt.f64 (/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 c a) #s(literal -3 binary64)) (fma.f64 (*.f64 #s(literal 3 binary64) c) a (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))))) |
Compiled 43 588 to 3 978 computations (90.9% saved)
25 alts after pruning (21 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 755 | 15 | 770 |
| Fresh | 5 | 6 | 11 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 761 | 25 | 786 |
| Status | Accuracy | Program |
|---|---|---|
| 54.6% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) a))) #s(literal 9 binary64)) | |
| 30.0% | (/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 55.7% | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
| ▶ | 55.7% | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
| 26.3% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c)) #s(literal 3 binary64)) a) | |
| ✓ | 55.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | 55.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
| 40.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 37.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) | |
| 28.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 8.9% | (/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 26.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) a) c) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 26.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c))) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 26.3% | (/.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)) |
| 26.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 35.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 29.5% | (/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
| 25.4% | (+.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))) | |
| 34.3% | #s(approx (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 8.8% | #s(approx (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) | |
| 35.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) | |
| 35.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) | |
| ▶ | 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ✓ | 35.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| ▶ | 34.4% | #s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
Compiled 1 310 to 901 computations (31.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) | |
| cost-diff | 0 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) | |
| cost-diff | 0 | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) | |
| cost-diff | 0 | (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| cost-diff | 3 | (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) | |
| cost-diff | 0 | (*.f64 a (/.f64 c b)) | |
| cost-diff | 0 | (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) | |
| cost-diff | 0 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) | |
| cost-diff | 0 | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) a) | |
| cost-diff | 0 | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 319 |
| 0 | 69 | 316 |
| 1 | 134 | 315 |
| 2 | 298 | 315 |
| 3 | 693 | 311 |
| 4 | 1767 | 311 |
| 5 | 2882 | 311 |
| 6 | 3734 | 311 |
| 7 | 3949 | 311 |
| 8 | 3988 | 311 |
| 9 | 4031 | 311 |
| 10 | 4031 | 311 |
| 11 | 4407 | 311 |
| 12 | 4485 | 311 |
| 13 | 4485 | 311 |
| 14 | 4485 | 311 |
| 15 | 4485 | 311 |
| 16 | 7459 | 311 |
| 17 | 7463 | 311 |
| 18 | 7463 | 311 |
| 19 | 7463 | 311 |
| 20 | 7919 | 311 |
| 21 | 7919 | 311 |
| 0 | 8683 | 309 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) a) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) |
(*.f64 a #s(literal -3 binary64)) |
a |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
(neg.f64 b) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
c |
b |
#s(literal -1/2 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) |
(*.f64 a (/.f64 c b)) |
a |
(/.f64 c b) |
c |
b |
#s(literal -3/2 binary64) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) |
(neg.f64 b) |
b |
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) |
(/.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 2/3 binary64) a) |
#s(literal 2/3 binary64) |
a |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) |
(*.f64 a #s(literal -3 binary64)) |
a |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
(neg.f64 b) |
#s(literal 3 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) a) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) a) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) |
(sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) |
(fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) |
(*.f64 a #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) a) |
a |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
(neg.f64 b) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
(/.f64 c b) |
c |
b |
#s(literal -1/2 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 c b) a))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) |
#s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 c b) a))) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) |
(*.f64 #s(literal -3/2 binary64) (*.f64 (/.f64 c b) a)) |
(*.f64 a (/.f64 c b)) |
(*.f64 (/.f64 c b) a) |
a |
(/.f64 c b) |
c |
b |
#s(literal -3/2 binary64) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (fma.f64 #s(literal -2/3 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b)))) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) |
(fma.f64 #s(literal -2/3 binary64) (/.f64 b a) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(neg.f64 b) |
b |
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) |
(fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) |
(/.f64 c (*.f64 b b)) |
(/.f64 (/.f64 c b) b) |
c |
(*.f64 b b) |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 2/3 binary64) a) |
#s(literal 2/3 binary64) |
a |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) #s(literal 3 binary64)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) |
(sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) |
(fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) |
(*.f64 a #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) a) |
a |
#s(literal -3 binary64) |
c |
(*.f64 b b) |
b |
(neg.f64 b) |
#s(literal 3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.13671875 | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) | |
| accuracy | 3.2597810837823085 | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) | |
| accuracy | 14.58787325597011 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) | |
| accuracy | 23.393444183990972 | (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) | |
| accuracy | 0.3671875 | (/.f64 #s(literal 2/3 binary64) a) | |
| accuracy | 4.658529137331838 | (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) | |
| accuracy | 8.560281228002822 | (/.f64 c (*.f64 b b)) | |
| accuracy | 41.444480404141196 | #s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| accuracy | 0.19140625 | (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) | |
| accuracy | 3.3307573533191928 | (/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 5.445592590249646 | (*.f64 a (/.f64 c b)) | |
| accuracy | 41.919891870133824 | #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) | |
| accuracy | 0.0 | (/.f64 c b) | |
| accuracy | 0.0 | (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) | |
| accuracy | 41.952058210898116 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| accuracy | 0.22265625 | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) | |
| accuracy | 3.217306480575145 | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) a) | |
| accuracy | 14.58787325597011 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) | |
| accuracy | 23.393444183990972 | (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) |
| 110.0ms | 41× | 1 | valid |
| 47.0ms | 173× | 0 | valid |
| 29.0ms | 37× | 2 | valid |
| 5.0ms | 5× | 3 | valid |
Compiled 297 to 42 computations (85.9% saved)
ival-add: 61.0ms (47.9% of total)ival-mult: 21.0ms (16.5% of total)ival-div: 19.0ms (14.9% of total)adjust: 11.0ms (8.6% of total)ival-sqrt: 8.0ms (6.3% of total)const: 5.0ms (3.9% of total)ival-sub: 2.0ms (1.6% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) a) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) |
(*.f64 a (/.f64 c b)) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(neg.f64 b) |
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) |
(/.f64 c (*.f64 b b)) |
(/.f64 #s(literal 2/3 binary64) a) |
| 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))))))) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -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))))))) |
(* -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)))))))) |
(/ (* a c) b) |
(* -2/3 (/ b a)) |
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a) |
(/ 2/3 a) |
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a) |
(* -1/2 (/ (* a c) b)) |
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -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)))))))) |
(* 1/3 (* (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 (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1 (/ b 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))))) |
(* (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)))))) |
(* 1/2 (/ c b)) |
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) |
(* -1/2 (/ c (pow b 2))) |
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* 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)))))) |
(* 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))))))) |
(* -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 (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) |
(* -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)))))))) |
(* -1/3 (* (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 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(+ (* 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))))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (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))))))))) |
(/ c b) |
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b) |
(* -1 b) |
(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2)) |
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))) |
(/ 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) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 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))))))) |
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))) |
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -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 a)) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 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)))))))) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 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 (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 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 (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* 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 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -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)))))) |
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))) |
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
(* -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 (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (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 (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | b | @ | 0 | ((/ (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) (sqrt (+ (* (* a -3) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* (* a (/ c b)) -3/2) (* a (/ c b)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) (/ c (* b b)) (/ 2/3 a)) |
| 4.0ms | c | @ | -inf | ((/ (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) (sqrt (+ (* (* a -3) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* (* a (/ c b)) -3/2) (* a (/ c b)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) (/ c (* b b)) (/ 2/3 a)) |
| 4.0ms | c | @ | inf | ((/ (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) (sqrt (+ (* (* a -3) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* (* a (/ c b)) -3/2) (* a (/ c b)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) (/ c (* b b)) (/ 2/3 a)) |
| 3.0ms | b | @ | inf | ((/ (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) (sqrt (+ (* (* a -3) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* (* a (/ c b)) -3/2) (* a (/ c b)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) (/ c (* b b)) (/ 2/3 a)) |
| 3.0ms | c | @ | 0 | ((/ (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) (sqrt (+ (* (* a -3) c) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* (/ c b) -1/2) (/ c b) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* (* a (/ c b)) -3/2) (* a (/ c b)) (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/ (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) (/ c (* b b)) (/ 2/3 a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 799 | 4986 |
| 1 | 2924 | 4941 |
| 0 | 8890 | 4704 |
| 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))))))) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -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))))))) |
(* -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)))))))) |
(/ (* a c) b) |
(* -2/3 (/ b a)) |
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a) |
(/ 2/3 a) |
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a) |
(* -1/2 (/ (* a c) b)) |
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -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)))))))) |
(* 1/3 (* (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 (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1 (/ b 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))))) |
(* (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)))))) |
(* 1/2 (/ c b)) |
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) |
(* -1/2 (/ c (pow b 2))) |
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* 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)))))) |
(* 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))))))) |
(* -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 (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) |
(* -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)))))))) |
(* -1/3 (* (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 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(+ (* 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))))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (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))))))))) |
(/ c b) |
(/ (+ (* -2/3 (/ (pow b 2) a)) (* 1/2 c)) b) |
(* -1 b) |
(/ (+ (* -1/2 c) (* 2/3 (/ (pow b 2) a))) (pow b 2)) |
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))) |
(/ 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) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 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))))))) |
(* b (- (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))) |
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -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 a)) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 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)))))))) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 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 (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 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 (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* 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 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -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)))))) |
(* c (+ (* -2/3 (/ b (* a c))) (* 1/2 (/ 1 b)))) |
(* c (- (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))) |
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
(* -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 (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (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 (- (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
| 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 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 (/.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 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.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 (/.f64 c b) #s(literal -1/2 binary64))) |
(* -3/2 (/ c b)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(+ (* -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 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (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))) |
(+ (* -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))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) 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))) |
(* -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 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (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 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (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 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) 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 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (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 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (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) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(* -2/3 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(/ (+ (* -2/3 b) (* 1/2 (/ (* a c) b))) a) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/ 2/3 a) |
(/.f64 #s(literal 2/3 binary64) a) |
(/ (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))) a) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 2/3 binary64)) a) |
(* -1/2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64)) |
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (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))) a) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (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 (/.f64 c b) #s(literal -1/2 binary64))) a) |
(* a (+ (* -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)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.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 (/.f64 c b) #s(literal -1/2 binary64))) 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)))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c 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 (*.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) (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c 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 (*.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #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)))) (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) (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -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 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a))) |
(+ (* -1 (/ b 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))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #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)))) (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 1/2 binary64) (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)))) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)) (/.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 (*.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 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.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 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #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)))) (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 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))) a) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 (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 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c 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))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #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)))) (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 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))))) a) |
(* 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)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 #s(literal -3 binary64) (sqrt.f64 #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)))) (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 7 binary64))) (pow.f64 c #s(literal 5 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 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)))))) a) |
(* 1/2 (/ c b)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 c b)) |
(+ (* -2/3 (/ b a)) (* 1/2 (/ c b))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
(* -1/2 (/ c (pow b 2))) |
(*.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) |
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(*.f64 (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))))) a) |
(* 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)))))) |
(*.f64 (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) (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a)))))) a) |
(* 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))))))) |
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(*.f64 (neg.f64 c) (-.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64)) (/.f64 #s(literal 1/2 binary64) b))) |
(* -1 (* c (- (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c)))))) |
(*.f64 (neg.f64 c) (-.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 c a)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) |
(*.f64 (*.f64 (neg.f64 c) #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 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (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 (/.f64 #s(literal 1 binary64) a) c)) (*.f64 #s(literal -1/3 binary64) b)) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (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 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (*.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 3 binary64)) c))))) (neg.f64 c))) (neg.f64 c)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 234 |
| 0 | 69 | 231 |
| 1 | 246 | 230 |
| 2 | 1595 | 230 |
| 0 | 8343 | 230 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) a) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(/.f64 c b) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) |
(*.f64 a (/.f64 c b)) |
(*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(neg.f64 b) |
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) |
(/.f64 c (*.f64 b b)) |
(/.f64 #s(literal 2/3 binary64) a) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) b) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) (neg.f64 b))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) (neg.f64 b))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (fma.f64 b b (+.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))))) (fma.f64 b b (+.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) (fma.f64 b b (+.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))))))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (fma.f64 b b (+.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))))) (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)) a) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 2 binary64))) (-.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)) a) (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)) a) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)) a) (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)) a) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)) a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)) a) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) (/.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)) a)))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) (*.f64 #s(literal 3 binary64) a) (*.f64 (*.f64 #s(literal 3 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))))) (neg.f64 (pow.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))))))) (neg.f64 (neg.f64 (*.f64 #s(literal -3 binary64) a)))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (*.f64 #s(literal -3 binary64) a) (*.f64 (*.f64 #s(literal -3 binary64) a) (neg.f64 (neg.f64 b)))) (pow.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) a (*.f64 (*.f64 #s(literal -3 binary64) a) (/.f64 (neg.f64 b) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) a) a)) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) a) (/.f64 (neg.f64 b) a))) (*.f64 (*.f64 #s(literal -3 binary64) a) #s(literal 3 binary64))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a) (*.f64 (*.f64 #s(literal -3 binary64) a) (neg.f64 b))) (*.f64 (*.f64 #s(literal -3 binary64) a) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) a) (*.f64 a (neg.f64 (neg.f64 b)))) (*.f64 a (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)) a (*.f64 a (/.f64 (neg.f64 b) #s(literal 3 binary64)))) (*.f64 a a)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)) #s(literal 3 binary64) (*.f64 a (/.f64 (neg.f64 b) a))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) a) (*.f64 a (neg.f64 b))) (*.f64 a (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) a) (*.f64 #s(literal -3 binary64) a) (*.f64 #s(literal 3 binary64) (neg.f64 (neg.f64 b)))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) a) a (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) a))) #s(literal 9 binary64)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) a) (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) (neg.f64 b))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) (*.f64 #s(literal -3 binary64) a) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 (neg.f64 b)))) (*.f64 (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) a (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (neg.f64 b) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 3 binary64) a) a)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (neg.f64 b) a))) (*.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 3 binary64))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 b))) (pow.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) (*.f64 #s(literal -3 binary64) a) (*.f64 (*.f64 #s(literal -3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))))) (pow.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) a (*.f64 (*.f64 #s(literal -3 binary64) a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -3 binary64) a) a)) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal -3 binary64) a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) a))) (*.f64 (*.f64 #s(literal -3 binary64) a) #s(literal 3 binary64))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) (*.f64 #s(literal 3 binary64) a) (*.f64 (*.f64 #s(literal -3 binary64) a) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))))) (*.f64 (*.f64 #s(literal -3 binary64) a) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (*.f64 #s(literal -3 binary64) a) (*.f64 a (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))))) (*.f64 a (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) a (*.f64 a (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)))) (*.f64 a a)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) #s(literal 3 binary64) (*.f64 a (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) a))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) a) (*.f64 a (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))))) (*.f64 a (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal -3 binary64) a) (*.f64 #s(literal 3 binary64) (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) a (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) a))) #s(literal 9 binary64)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (fma.f64 (neg.f64 b) (*.f64 #s(literal -3 binary64) a) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))))) (*.f64 (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal -3 binary64) a))) |
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(/.f64 (fma.f64 (neg.f64 b) #s(literal 3 binary64) (*.f64 (*.f64 #s(literal 3 binary64) a) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) a))) (*.f64 (*.f64 #s(literal 3 binary64) a) #s(literal 3 binary64))) |
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(/.f64 (neg.f64 (-.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (*.f64 b b))) (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 b b (+.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))))) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (*.f64 (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (neg.f64 (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) #s(literal 3 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))))) #s(literal 3 binary64)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal 9 binary64)) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) #s(literal 3 binary64))) |
(/.f64 (-.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (*.f64 b b)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (fma.f64 b b (+.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))))) #s(literal 3 binary64))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))))) #s(literal -3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) #s(literal 3 binary64)) |
(neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) #s(literal -3 binary64))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64))) (/.f64 (pow.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) #s(literal 3 binary64))) (/.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64))) (/.f64 (*.f64 b b) (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)))) |
(-.f64 (/.f64 (/.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) (neg.f64 b))) #s(literal 3 binary64)) (/.f64 (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) (neg.f64 b))) #s(literal 3 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))))) #s(literal 3 binary64)) (/.f64 (/.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))))) #s(literal 3 binary64))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) #s(literal 3/2 binary64)) #s(literal 27 binary64)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (neg.f64 b) #s(literal 3 binary64)))))) (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 27 binary64)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (neg.f64 b) #s(literal 3 binary64))))))) |
(+.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)) #s(literal 9 binary64)) (/.f64 (*.f64 #s(literal 3 binary64) (neg.f64 b)) #s(literal 9 binary64))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 b b (+.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))))) #s(literal 3 binary64))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (fma.f64 b b (+.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))))) #s(literal 3 binary64)))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (fma.f64 b b (+.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))))) #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 b b (+.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))))) #s(literal 3 binary64)))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64))) (/.f64 (pow.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) #s(literal 3/2 binary64)) (*.f64 (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)))) |
(+.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) #s(literal 3 binary64)) (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) #s(literal 3 binary64))) |
(+.f64 (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (+.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))))))) #s(literal 3 binary64)) (/.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (+.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))))))) #s(literal 3 binary64))) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) #s(literal 3 binary64))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)))) #s(literal 3 binary64)))) |
(+.f64 (/.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64))) (/.f64 (*.f64 (neg.f64 b) b) (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)))) |
(+.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64))) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (neg.f64 b) #s(literal 3 binary64))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 c b))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (*.f64 (neg.f64 b) b)) |
(/.f64 (/.f64 c (neg.f64 b)) (neg.f64 b)) |
(/.f64 (neg.f64 (neg.f64 c)) (*.f64 b b)) |
(/.f64 (neg.f64 (/.f64 c b)) (neg.f64 b)) |
(/.f64 (neg.f64 c) (*.f64 (neg.f64 b) b)) |
(/.f64 (/.f64 c b) (neg.f64 (neg.f64 b))) |
(/.f64 (/.f64 c b) b) |
(/.f64 c (*.f64 b b)) |
(neg.f64 (/.f64 c (*.f64 (neg.f64 b) b))) |
(/.f64 #s(literal -2/3 binary64) (neg.f64 (neg.f64 (neg.f64 a)))) |
(/.f64 #s(literal -2/3 binary64) (neg.f64 a)) |
(/.f64 #s(literal 2/3 binary64) (neg.f64 (neg.f64 a))) |
(/.f64 #s(literal 2/3 binary64) a) |
(neg.f64 (/.f64 #s(literal -2/3 binary64) a)) |
Compiled 35 999 to 3 270 computations (90.9% saved)
30 alts after pruning (23 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 779 | 11 | 790 |
| Fresh | 4 | 12 | 16 |
| Picked | 1 | 4 | 5 |
| Done | 1 | 3 | 4 |
| Total | 785 | 30 | 815 |
| Status | Accuracy | Program |
|---|---|---|
| 54.6% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) a))) #s(literal 9 binary64)) | |
| ▶ | 54.8% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal 9 binary64)) a) |
| 29.9% | (/.f64 (/.f64 (-.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (*.f64 b b)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64))) a) | |
| ✓ | 55.7% | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
| ✓ | 55.7% | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
| 35.1% | (/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) | |
| 26.3% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c)) #s(literal 3 binary64)) a) | |
| ✓ | 55.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | 55.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
| 40.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 37.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
| 28.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 34.4% | (/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
| 29.6% | (/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) | |
| 35.1% | (/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) | |
| 8.9% | (/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 26.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 26.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
| 35.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 29.5% | (/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
| 34.3% | #s(approx (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 8.8% | #s(approx (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) | |
| 35.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) | |
| ✓ | 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ▶ | 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| ✓ | 35.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| 11.1% | #s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (/.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)) b) #s(literal 3 binary64))) (pow.f64 (*.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 b) b) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) (*.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) (*.f64 (*.f64 (/.f64 (neg.f64 b) b) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (*.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))))))) | |
| 35.1% | #s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 35.1% | #s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) | |
| 26.1% | #s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b))) |
Compiled 1 617 to 1 121 computations (30.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 0 | (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) | |
| cost-diff | 0 | (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) | |
| cost-diff | 0 | #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) b) | |
| cost-diff | 0 | (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) | |
| cost-diff | 0 | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal 9 binary64)) a) | |
| cost-diff | 1 | (*.f64 #s(literal 3 binary64) (neg.f64 b)) | |
| cost-diff | 1 | (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 b))) | |
| cost-diff | 2 | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal 9 binary64)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 336 |
| 0 | 78 | 334 |
| 1 | 147 | 323 |
| 2 | 289 | 318 |
| 3 | 521 | 316 |
| 4 | 934 | 316 |
| 5 | 1526 | 316 |
| 6 | 2146 | 316 |
| 7 | 2431 | 316 |
| 8 | 2613 | 316 |
| 9 | 2709 | 316 |
| 0 | 2709 | 316 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal 9 binary64)) a) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal 9 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 b))) |
(sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) |
(fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) |
c |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
a |
(*.f64 b b) |
b |
#s(literal 3 binary64) |
(*.f64 #s(literal 3 binary64) (neg.f64 b)) |
(neg.f64 b) |
#s(literal 9 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
c |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
#s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
#s(literal -3/2 binary64) |
(/.f64 c b) |
c |
b |
#s(literal 3 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) |
(*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c) |
(*.f64 a (/.f64 #s(literal -3/2 binary64) b)) |
a |
(/.f64 #s(literal -3/2 binary64) b) |
#s(literal -3/2 binary64) |
b |
c |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 c a) |
c |
a |
#s(literal -3 binary64) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal 9 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 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal 9 binary64)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1/3 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 b))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 3 binary64)) |
(sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
c |
(*.f64 #s(literal -3 binary64) a) |
(*.f64 a #s(literal -3 binary64)) |
#s(literal -3 binary64) |
a |
(*.f64 b b) |
b |
#s(literal 3 binary64) |
(*.f64 #s(literal 3 binary64) (neg.f64 b)) |
(*.f64 b #s(literal -3 binary64)) |
(neg.f64 b) |
#s(literal 9 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) b) c) |
c |
(/.f64 #s(literal -1/2 binary64) b) |
#s(literal -1/2 binary64) |
b |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 (/.f64 #s(literal -3/2 binary64) b) c)) #s(literal 3 binary64)) |
#s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 (/.f64 #s(literal -3/2 binary64) b) c)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
(*.f64 (/.f64 #s(literal -3/2 binary64) b) c) |
#s(literal -3/2 binary64) |
(/.f64 c b) |
c |
b |
#s(literal 3 binary64) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 #s(literal -3/2 binary64) b) a) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 #s(literal -3/2 binary64) b) a) c)) |
(*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c) |
(*.f64 (*.f64 (/.f64 #s(literal -3/2 binary64) b) a) c) |
(*.f64 a (/.f64 #s(literal -3/2 binary64) b)) |
(*.f64 (/.f64 #s(literal -3/2 binary64) b) a) |
a |
(/.f64 #s(literal -3/2 binary64) b) |
#s(literal -3/2 binary64) |
b |
c |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 (*.f64 a #s(literal -3 binary64)) c) |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
#s(literal -3 binary64) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.3307573533191928 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 14.58787325597011 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) | |
| accuracy | 23.393444183990972 | (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) | |
| accuracy | 40.05588145318539 | #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) | |
| accuracy | 0.19921875 | (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) | |
| accuracy | 3.3307573533191928 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 6.880215287701989 | (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c) | |
| accuracy | 41.919891870133824 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) | |
| accuracy | 0.0 | (/.f64 c b) | |
| accuracy | 0.22265625 | (/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) | |
| accuracy | 0.2265625 | (*.f64 #s(literal -3/2 binary64) (/.f64 c b)) | |
| accuracy | 41.95315859509202 | #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) | |
| accuracy | 0.0 | (/.f64 #s(literal -1/2 binary64) b) | |
| accuracy | 0.21875 | (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) | |
| accuracy | 41.952058210898116 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) | |
| accuracy | 0.20703125 | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal 9 binary64)) | |
| accuracy | 3.2597810837823085 | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal 9 binary64)) a) | |
| accuracy | 19.33774911789582 | (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 b))) | |
| accuracy | 23.393444183990972 | (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) |
| 59.0ms | 150× | 0 | valid |
| 51.0ms | 40× | 2 | valid |
| 31.0ms | 56× | 1 | valid |
| 6.0ms | 7× | 3 | valid |
| 3.0ms | 3× | 4 | valid |
Compiled 288 to 43 computations (85.1% saved)
ival-mult: 48.0ms (39.9% of total)ival-div: 40.0ms (33.3% of total)adjust: 12.0ms (10% of total)ival-add: 9.0ms (7.5% of total)ival-sqrt: 8.0ms (6.7% of total)ival-sub: 2.0ms (1.7% of total)exact: 1.0ms (0.8% of total)ival-neg: 1.0ms (0.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal 9 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 b))) |
(*.f64 #s(literal 3 binary64) (neg.f64 b)) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal 9 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
#s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) |
(*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c) |
(*.f64 a (/.f64 #s(literal -3/2 binary64) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
(neg.f64 b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
(sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
| Outputs |
|---|
(* 1/9 (+ (* -3 b) (* 3 b))) |
(+ (* -1/2 (/ (* a c) b)) (* 1/9 (+ (* -3 b) (* 3 b)))) |
(+ (* 1/9 (+ (* -3 b) (* 3 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 1/9 (+ (* -3 b) (* 3 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
(+ (* -3 b) (* 3 b)) |
(+ (* -9/2 (/ (* a c) b)) (+ (* -3 b) (* 3 b))) |
(+ (* -3 b) (+ (* 3 b) (* a (+ (* -9/2 (/ c b)) (* -27/8 (/ (* a (pow c 2)) (pow b 3))))))) |
(+ (* -3 b) (+ (* 3 b) (* a (+ (* -9/2 (/ c b)) (* a (+ (* -81/16 (/ (* a (pow c 3)) (pow b 5))) (* -27/8 (/ (pow c 2) (pow b 3))))))))) |
(* 1/9 (/ (+ (* -3 b) (* 3 b)) a)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/9 (+ (* -3 b) (* 3 b)))) a) |
(/ (+ (* 1/9 (+ (* -3 b) (* 3 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 1/9 (+ (* -3 b) (* 3 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a) |
(* -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))))))) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -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))))))) |
(* -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)))))))) |
(* -3/2 (/ a 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)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* 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)))))) |
(* 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))))))) |
(* 3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* -3 (/ b a)) (* 3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -3 (/ b a)) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* -3 (/ b a)) (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ c a)) (sqrt -3))))))) |
(* 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 (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1 (/ b 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))))) |
(* (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 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* -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 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -3 b) (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -3 b) (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 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 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) |
(* -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 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))) |
(+ (* -3 b) (* 3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 3/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 3))) |
(+ (* 3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 3))) |
(* -3 b) |
(+ (* 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))))) |
(/ -1/2 b) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(/ 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))))))))) |
(- (pow b 2) (* 3 (* a c))) |
(* -1/2 (/ (* a c) b)) |
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -9/2 (/ (* a c) b)) |
(/ (+ (* -9/2 (* a c)) (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -81/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -9/2 (* a c)) (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -81/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -9/2 (* a c)) (+ (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/ (+ (* -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) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 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))))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -6 b) |
(* -1 (* b (+ 6 (* -9/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 6 (+ (* -9/2 (/ (* a c) (pow b 2))) (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 6 (+ (* -81/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -9/2 (/ (* a c) (pow b 2))) (* -27/8 (/ (* (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))))))) |
(* -2 (/ b a)) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 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 (+ (* -3 b) (* 3 b))) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 1/9 (+ (* -3 b) (* 3 b))) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))) |
(+ (* -3 b) (+ (* 3 b) (* c (+ (* -9/2 (/ a b)) (* -27/8 (/ (* (pow a 2) c) (pow b 3))))))) |
(+ (* -3 b) (+ (* 3 b) (* c (+ (* -9/2 (/ a b)) (* c (+ (* -81/16 (/ (* (pow a 3) c) (pow b 5))) (* -27/8 (/ (pow a 2) (pow b 3))))))))) |
(+ (* -1/2 (/ c b)) (* 1/9 (/ (+ (* -3 b) (* 3 b)) a))) |
(+ (* 1/9 (/ (+ (* -3 b) (* 3 b)) a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* 1/9 (/ (+ (* -3 b) (* 3 b)) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 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 (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 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 (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
(* c (+ (* -3 (/ b c)) (* 3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -3 (/ b c)) (+ (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -3 (/ b c)) (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ a c)) (sqrt -3))))))) |
(* 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 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -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)))))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* 3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -3 b) (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -3 b) (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* 3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -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 (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (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 (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 25.0ms | b | @ | 0 | ((/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) (* 3 (neg b)) (/ (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (* -3/2 (/ c b)) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* a (/ -3/2 b)) c) (* a (/ -3/2 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (+ (* c (* -3 a)) (* b b))) (- (* b b) (* (* 3 a) c))) |
| 4.0ms | b | @ | inf | ((/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) (* 3 (neg b)) (/ (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (* -3/2 (/ c b)) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* a (/ -3/2 b)) c) (* a (/ -3/2 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (+ (* c (* -3 a)) (* b b))) (- (* b b) (* (* 3 a) c))) |
| 3.0ms | b | @ | -inf | ((/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) (* 3 (neg b)) (/ (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (* -3/2 (/ c b)) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* a (/ -3/2 b)) c) (* a (/ -3/2 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (+ (* c (* -3 a)) (* b b))) (- (* b b) (* (* 3 a) c))) |
| 3.0ms | c | @ | -inf | ((/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) (* 3 (neg b)) (/ (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (* -3/2 (/ c b)) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* a (/ -3/2 b)) c) (* a (/ -3/2 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (+ (* c (* -3 a)) (* b b))) (- (* b b) (* (* 3 a) c))) |
| 3.0ms | c | @ | inf | ((/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) (* 3 (neg b)) (/ (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (* -3/2 (/ c b)) (/ c b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* a (/ -3/2 b)) c) (* a (/ -3/2 b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (neg b) (sqrt (- (* b b) (* (* 3 a) c))) (sqrt (+ (* c (* -3 a)) (* b b))) (- (* b b) (* (* 3 a) c))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 944 | 5926 |
| 1 | 3515 | 5801 |
| 0 | 8391 | 5517 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/9 (+ (* -3 b) (* 3 b))) |
(+ (* -1/2 (/ (* a c) b)) (* 1/9 (+ (* -3 b) (* 3 b)))) |
(+ (* 1/9 (+ (* -3 b) (* 3 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 1/9 (+ (* -3 b) (* 3 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) |
(+ (* -3 b) (* 3 b)) |
(+ (* -9/2 (/ (* a c) b)) (+ (* -3 b) (* 3 b))) |
(+ (* -3 b) (+ (* 3 b) (* a (+ (* -9/2 (/ c b)) (* -27/8 (/ (* a (pow c 2)) (pow b 3))))))) |
(+ (* -3 b) (+ (* 3 b) (* a (+ (* -9/2 (/ c b)) (* a (+ (* -81/16 (/ (* a (pow c 3)) (pow b 5))) (* -27/8 (/ (pow c 2) (pow b 3))))))))) |
(* 1/9 (/ (+ (* -3 b) (* 3 b)) a)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/9 (+ (* -3 b) (* 3 b)))) a) |
(/ (+ (* 1/9 (+ (* -3 b) (* 3 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 1/9 (+ (* -3 b) (* 3 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a) |
(* -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))))))) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -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))))))) |
(* -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)))))))) |
(* -3/2 (/ a 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)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* 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)))))) |
(* 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))))))) |
(* 3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* -3 (/ b a)) (* 3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -3 (/ b a)) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* -3 (/ b a)) (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ c a)) (sqrt -3))))))) |
(* 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 (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1 (/ b 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))))) |
(* (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 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* -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 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -3 b) (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -3 b) (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* 3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 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 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) |
(* -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 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))) |
(+ (* -3 b) (* 3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 3/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 3))) |
(+ (* 3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 3))) |
(* -3 b) |
(+ (* 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))))) |
(/ -1/2 b) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(/ 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))))))))) |
(- (pow b 2) (* 3 (* a c))) |
(* -1/2 (/ (* a c) b)) |
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -9/2 (/ (* a c) b)) |
(/ (+ (* -9/2 (* a c)) (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -81/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -9/2 (* a c)) (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -81/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -9/2 (* a c)) (+ (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -3/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/ (+ (* -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) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 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))))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -6 b) |
(* -1 (* b (+ 6 (* -9/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 6 (+ (* -9/2 (/ (* a c) (pow b 2))) (* -27/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 6 (+ (* -81/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -9/2 (/ (* a c) (pow b 2))) (* -27/8 (/ (* (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))))))) |
(* -2 (/ b a)) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 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 (+ (* -3 b) (* 3 b))) (* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 1/9 (+ (* -3 b) (* 3 b))) (* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3)))))))) |
(+ (* -3 b) (+ (* 3 b) (* c (+ (* -9/2 (/ a b)) (* -27/8 (/ (* (pow a 2) c) (pow b 3))))))) |
(+ (* -3 b) (+ (* 3 b) (* c (+ (* -9/2 (/ a b)) (* c (+ (* -81/16 (/ (* (pow a 3) c) (pow b 5))) (* -27/8 (/ (pow a 2) (pow b 3))))))))) |
(+ (* -1/2 (/ c b)) (* 1/9 (/ (+ (* -3 b) (* 3 b)) a))) |
(+ (* 1/9 (/ (+ (* -3 b) (* 3 b)) a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* 1/9 (/ (+ (* -3 b) (* 3 b)) a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 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 (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 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 (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
(* c (+ (* -3 (/ b c)) (* 3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -3 (/ b c)) (+ (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -3 (/ b c)) (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 3/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 3 (* (sqrt (/ a c)) (sqrt -3))))))) |
(* 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 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -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)))))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* 3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -3 b) (* -3/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -3 b) (* -1 (/ (+ (* -3/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* 3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -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 (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (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 (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
| Outputs |
|---|
(* 1/9 (+ (* -3 b) (* 3 b))) |
#s(literal 0 binary64) |
(+ (* -1/2 (/ (* a c) b)) (* 1/9 (+ (* -3 b) (* 3 b)))) |
(fma.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64) #s(literal 0 binary64)) |
(+ (* 1/9 (+ (* -3 b) (* 3 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (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))) a #s(literal 0 binary64)) |
(+ (* 1/9 (+ (* -3 b) (* 3 b))) (* a (+ (* -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 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a #s(literal 0 binary64)) |
(+ (* -3 b) (* 3 b)) |
#s(literal 0 binary64) |
(+ (* -9/2 (/ (* a c) b)) (+ (* -3 b) (* 3 b))) |
(fma.f64 #s(literal -9/2 binary64) (/.f64 (*.f64 a c) b) #s(literal 0 binary64)) |
(+ (* -3 b) (+ (* 3 b) (* a (+ (* -9/2 (/ c b)) (* -27/8 (/ (* a (pow c 2)) (pow b 3))))))) |
(fma.f64 (fma.f64 #s(literal -27/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -9/2 binary64) (/.f64 c b))) a #s(literal 0 binary64)) |
(+ (* -3 b) (+ (* 3 b) (* a (+ (* -9/2 (/ c b)) (* a (+ (* -81/16 (/ (* a (pow c 3)) (pow b 5))) (* -27/8 (/ (pow c 2) (pow b 3))))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -81/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -27/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -9/2 binary64) (/.f64 c b))) a #s(literal 0 binary64)) |
(* 1/9 (/ (+ (* -3 b) (* 3 b)) a)) |
(/.f64 #s(literal 0 binary64) a) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 1/9 (+ (* -3 b) (* 3 b)))) a) |
(/.f64 (fma.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64) #s(literal 0 binary64)) a) |
(/ (+ (* 1/9 (+ (* -3 b) (* 3 b))) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/.f64 (fma.f64 (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))) a #s(literal 0 binary64)) a) |
(/ (+ (* 1/9 (+ (* -3 b) (* 3 b))) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a #s(literal 0 binary64)) a) |
(* -1/2 (/ c b)) |
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(*.f64 (neg.f64 c) (*.f64 #s(literal 1/3 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.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 (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))) (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 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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)))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b a) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.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 -1/2 binary64) (/.f64 (neg.f64 b) a)) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (-.f64 (/.f64 (neg.f64 b) a) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 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 1/2 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))))) 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 -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64)))) 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 -1/8 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 #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))))) (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 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 b b) c) #s(literal -1 binary64) (*.f64 #s(literal 3 binary64) a))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 280 |
| 0 | 78 | 278 |
| 1 | 256 | 267 |
| 2 | 1572 | 263 |
| 0 | 8403 | 263 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal 9 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 b))) |
(*.f64 #s(literal 3 binary64) (neg.f64 b)) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal 9 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b)) |
(/.f64 #s(literal -1/2 binary64) b) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
#s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
(/.f64 c b) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) |
(*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c) |
(*.f64 a (/.f64 #s(literal -3/2 binary64) b)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
(neg.f64 b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
(sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) b))) (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) b)) #s(literal 9 binary64))) |
(*.f64 (/.f64 (fma.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) b) (-.f64 (*.f64 #s(literal -3 binary64) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 3 binary64))))) (fma.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (*.f64 (*.f64 #s(literal -3 binary64) b) (-.f64 (*.f64 #s(literal -3 binary64) b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 3 binary64)))))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (+.f64 b (sqrt.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 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 b) (-.f64 (neg.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 (+.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))) (neg.f64 b)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (fma.f64 b b (+.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)))))) (fma.f64 b b (+.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))) (neg.f64 b)) #s(literal 3 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (neg.f64 b) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (/.f64 (*.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 81 binary64))) (-.f64 (*.f64 (neg.f64 b) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 3 binary64))) (*.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (neg.f64 b) #s(literal 3 binary64)))) (-.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (neg.f64 b) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (neg.f64 b) #s(literal 3 binary64))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 3 binary64)))) (-.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 3 binary64)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) #s(literal 1/27 binary64)) (pow.f64 (/.f64 (*.f64 (neg.f64 b) #s(literal -3 binary64)) #s(literal 9 binary64)) #s(literal 3 binary64))) (+.f64 (/.f64 (*.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 81 binary64)) (fma.f64 (/.f64 (*.f64 (neg.f64 b) #s(literal -3 binary64)) #s(literal 9 binary64)) (/.f64 (*.f64 (neg.f64 b) #s(literal -3 binary64)) #s(literal 9 binary64)) (*.f64 (*.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) #s(literal -3 binary64)) #s(literal 9 binary64)))))) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/27 binary64) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) #s(literal 1/27 binary64))) (+.f64 (pow.f64 (*.f64 (neg.f64 b) #s(literal 1/3 binary64)) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 #s(literal 9 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 81 binary64)) (*.f64 (*.f64 (neg.f64 b) #s(literal 1/3 binary64)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 3 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) #s(literal 3 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 3 binary64)) (-.f64 (*.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (/.f64 (neg.f64 b) #s(literal 3 binary64))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (neg.f64 b) #s(literal 3 binary64)))))) |
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(/.f64 (sqrt.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b))))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) #s(literal 2 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b))))) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 9 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) (*.f64 (neg.f64 b) b)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 (neg.f64 b) b)))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) b) b))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)))))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 a #s(literal -3 binary64)) c) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 #s(literal 3 binary64) c) a) (fma.f64 (*.f64 a c) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fabs.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))))) |
(*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) |
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 2 binary64)) |
(pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 1 binary64)) |
#s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) |
(sqrt.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 2 binary64))) |
(fabs.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c)))) |
Compiled 30 586 to 3 003 computations (90.2% saved)
35 alts after pruning (27 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 692 | 14 | 706 |
| Fresh | 5 | 13 | 18 |
| Picked | 1 | 4 | 5 |
| Done | 3 | 4 | 7 |
| Total | 701 | 35 | 736 |
| Status | Accuracy | Program |
|---|---|---|
| 54.6% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) a))) #s(literal 9 binary64)) | |
| 37.4% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) a))) #s(literal 9 binary64)) | |
| 54.4% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) (*.f64 #s(literal 9 binary64) a)) | |
| 54.1% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) a) | |
| 29.9% | (/.f64 (/.f64 (-.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (*.f64 b b)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64))) a) | |
| 36.8% | (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))))) (*.f64 #s(literal 3 binary64) a)) | |
| 37.4% | (/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) #s(literal 3 binary64)) a) | |
| 35.1% | (/.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) (*.f64 #s(literal -6 binary64) b)) #s(literal 9 binary64)) a) | |
| 26.3% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c)) #s(literal 3 binary64)) a) | |
| 37.4% | (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 55.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | 37.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
| 26.6% | (/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64))) a) | |
| 35.1% | (/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) (*.f64 #s(literal -2/3 binary64) b)) a) | |
| 9.1% | (/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) #s(literal 0 binary64)) a) | |
| 34.3% | (/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) #s(literal 3 binary64)) | |
| 34.3% | (/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 (/.f64 #s(literal -3/2 binary64) b) c)) #s(literal 3 binary64)) | |
| ✓ | 34.4% | (/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
| 8.9% | (/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 26.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c))) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 26.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.f64 #s(literal 3 binary64) a)) |
| 35.1% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 29.5% | (/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
| 55.2% | (*.f64 (/.f64 #s(literal 3 binary64) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) #s(literal 9 binary64))) | |
| 55.2% | (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) a)) | |
| 34.3% | #s(approx (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 8.8% | #s(approx (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) | |
| 35.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) | |
| ✓ | 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ✓ | 34.4% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| ✓ | 35.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| 11.1% | #s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (/.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)) b) #s(literal 3 binary64))) (pow.f64 (*.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 b) b) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) (*.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) (*.f64 (*.f64 (/.f64 (neg.f64 b) b) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (*.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))))))) | |
| 35.1% | #s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 35.1% | #s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) | |
| 26.1% | #s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b))) |
Compiled 2 629 to 1 061 computations (59.6% saved)
| Inputs |
|---|
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) #s(literal 0 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 (/.f64 #s(literal -3/2 binary64) b) c)) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) (*.f64 #s(literal -6 binary64) b)) #s(literal 9 binary64)) a) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.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 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.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 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) a) c) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b))) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.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)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c)) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.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 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) a) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) b)) (*.f64 #s(literal 9 binary64) a)) |
(*.f64 (/.f64 #s(literal 3 binary64) a) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) #s(literal 9 binary64))) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal 9 binary64)) a) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) a))) #s(literal 9 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) a))) #s(literal 9 binary64)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (neg.f64 b) a))) #s(literal 9 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (-.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b)) (*.f64 b b)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 #s(literal -3 binary64) a) (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64))) a) |
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (/.f64 (*.f64 b b) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) (/.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))) |
(/.f64 (+.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 27 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal 3 binary64))) #s(literal 2 binary64)))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (/.f64 (-.f64 (neg.f64 (pow.f64 (*.f64 (*.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64)) b) #s(literal 3 binary64))) (pow.f64 (*.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 b) b) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) #s(literal 2 binary64)) (fma.f64 (*.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) (*.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) (*.f64 (*.f64 (/.f64 (neg.f64 b) b) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) (*.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))))))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
5 calls:
| 22.0ms | (*.f64 #s(literal 3 binary64) a) |
| 17.0ms | b |
| 15.0ms | c |
| 14.0ms | a |
| 12.0ms | (/.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 |
|---|---|---|
| 55.7% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 76.6% | 5 | (/.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)) |
| 55.7% | 1 | a |
| 88.5% | 3 | b |
| 55.7% | 1 | c |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) #s(literal 0 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 (/.f64 #s(literal -3/2 binary64) b) c)) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) (*.f64 #s(literal -6 binary64) b)) #s(literal 9 binary64)) a) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.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 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.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 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) a) c) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b))) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.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)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c)) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.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 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64) (*.f64 (neg.f64 b) #s(literal 1/3 binary64))) a) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
1 calls:
| 10.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.5% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) #s(literal 0 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 (/.f64 #s(literal -3/2 binary64) b) c)) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) (*.f64 #s(literal -6 binary64) b)) #s(literal 9 binary64)) a) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.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 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.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 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) a) c) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b))) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.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)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c)) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
(*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
1 calls:
| 9.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.4% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) #s(literal 0 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 (/.f64 #s(literal -3/2 binary64) b) c)) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) (*.f64 #s(literal -6 binary64) b)) #s(literal 9 binary64)) a) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.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 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.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 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) a) c) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b))) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.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)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c)) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
1 calls:
| 9.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.7% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) #s(literal 0 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 (/.f64 #s(literal -3/2 binary64) b) c)) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) (*.f64 #s(literal -6 binary64) b)) #s(literal 9 binary64)) a) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.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 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.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 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) a) c) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b))) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
1 calls:
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.6% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) #s(literal 0 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 (/.f64 #s(literal -3/2 binary64) b) c)) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) (*.f64 #s(literal -6 binary64) b)) #s(literal 9 binary64)) a) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (*.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 a (/.f64 #s(literal -3/2 binary64) b)) c)) (*.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 (/.f64 a b) (*.f64 #s(literal -3/2 binary64) c))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 (*.f64 #s(literal -3/2 binary64) a) c) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (*.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal 1/2 binary64) c)) b))) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
2 calls:
| 9.0ms | b |
| 7.0ms | (/.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 |
|---|---|---|
| 49.9% | 3 | (/.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)) |
| 67.3% | 2 | b |
Compiled 18 to 15 computations (16.7% saved)
| Inputs |
|---|
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) #s(literal 0 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (*.f64 (/.f64 #s(literal -3/2 binary64) b) c)) #s(literal 3 binary64)) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) a) (/.f64 (*.f64 #s(literal -3/2 binary64) c) b)) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 #s(approx (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) (*.f64 #s(literal -6 binary64) b)) #s(literal 9 binary64)) a) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) (*.f64 (/.f64 (*.f64 a c) b) #s(literal -1/2 binary64))) a) |
| Outputs |
|---|
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.0% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) #s(literal 0 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) |
#s(approx (/ (+ (neg b) (sqrt (/ (+ (* (pow (* c a) 3) 27) (pow b 6)) (- (pow b 4) (* (* c 3) (* a (+ (* c (* a 3)) (* b b)))))))) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* a -3) c) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (*.f64 (neg.f64 b) #s(approx (+ (* (/ c (* b b)) -1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
1 calls:
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.0% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) #s(literal 0 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
1 calls:
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.9% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) #s(literal 0 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) #s(literal 0 binary64)) a) |
5 calls:
| 1.0ms | (*.f64 #s(literal 3 binary64) a) |
| 1.0ms | a |
| 1.0ms | c |
| 1.0ms | b |
| 1.0ms | (/.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 |
|---|---|---|
| 35.1% | 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)) |
| 35.1% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 35.1% | 1 | a |
| 35.1% | 1 | c |
| 41.5% | 2 | b |
Compiled 23 to 26 computations (-13% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) #s(literal 0 binary64)) a) |
| Outputs |
|---|
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) #s(literal 0 binary64)) a) |
5 calls:
| 5.0ms | b |
| 1.0ms | (*.f64 #s(literal 3 binary64) a) |
| 1.0ms | a |
| 1.0ms | c |
| 1.0ms | (/.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 |
|---|---|---|
| 9.1% | 1 | c |
| 9.1% | 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)) |
| 9.1% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 9.1% | 1 | a |
| 9.1% | 1 | b |
Compiled 23 to 26 computations (-13% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 4.952672891004383e-84 | 6.538361659975202e-84 |
| 14.0ms | -8.954167052537387e+134 | -8.798073176005807e+131 |
| 11.0ms | 160× | 0 | valid |
| 1.0ms | 7× | 2 | valid |
| 1.0ms | 9× | 1 | valid |
| 1.0ms | 18× | 0 | invalid |
Compiled 513 to 399 computations (22.2% saved)
ival-mult: 4.0ms (39.7% of total)adjust: 1.0ms (9.9% of total)ival-div: 1.0ms (9.9% of total)ival-sub: 1.0ms (9.9% of total)ival-sqrt: 1.0ms (9.9% of total)ival-add: 1.0ms (9.9% of total)ival-neg: 1.0ms (9.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.952672891004383e-84 | 6.538361659975202e-84 |
| 12.0ms | -3.943356091213246e+115 | -1.9543213719013376e+114 |
| 8.0ms | 112× | 0 | valid |
| 0.0ms | 3× | 0 | invalid |
Compiled 550 to 419 computations (23.8% saved)
ival-mult: 2.0ms (38.8% of total)ival-div: 1.0ms (19.4% of total)ival-sqrt: 1.0ms (19.4% of total)ival-neg: 1.0ms (19.4% of total)ival-add: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.952672891004383e-84 | 6.538361659975202e-84 |
| 1.0ms | -8.954167052537387e+134 | -8.798073176005807e+131 |
Compiled 513 to 399 computations (22.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.952672891004383e-84 | 6.538361659975202e-84 |
| 20.0ms | -1.6098996813999958e-62 | -4.62585046032301e-68 |
| 10.0ms | 144× | 0 | valid |
| 3.0ms | 37× | 0 | invalid |
Compiled 752 to 567 computations (24.6% saved)
ival-mult: 3.0ms (36% of total)ival-div: 1.0ms (12% of total)ival-add: 1.0ms (12% of total)ival-sub: 1.0ms (12% of total)ival-sqrt: 1.0ms (12% of total)ival-neg: 1.0ms (12% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.952672891004383e-84 | 6.538361659975202e-84 |
| 1.0ms | -1.6098996813999958e-62 | -4.62585046032301e-68 |
Compiled 752 to 567 computations (24.6% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | -4.16718988471913e-309 | 1.9308877752656376e-303 |
| 10.0ms | 144× | 0 | valid |
| 6.0ms | 82× | 0 | invalid |
Compiled 614 to 441 computations (28.2% saved)
ival-mult: 4.0ms (39.9% of total)ival-div: 1.0ms (10% of total)ival-add: 1.0ms (10% of total)ival-sub: 1.0ms (10% of total)ival-sqrt: 1.0ms (10% of total)ival-neg: 1.0ms (10% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -4.16718988471913e-309 | 1.9308877752656376e-303 |
Compiled 416 to 333 computations (20% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -4.16718988471913e-309 | 1.9308877752656376e-303 |
Compiled 434 to 324 computations (25.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 44.0ms | -4.16718988471913e-309 | 1.9308877752656376e-303 |
| 39.0ms | 48× | 0 | valid |
| 2.0ms | 29× | 0 | invalid |
Compiled 434 to 324 computations (25.3% saved)
ival-neg: 36.0ms (92.3% of total)ival-mult: 1.0ms (2.6% of total)ival-div: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-sqrt: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 22.0ms | -8.134887095614882e-300 | -4.16718988471913e-309 |
| 10.0ms | 144× | 0 | valid |
| 5.0ms | 72× | 0 | invalid |
Compiled 434 to 351 computations (19.1% saved)
ival-mult: 4.0ms (40.8% of total)ival-div: 1.0ms (10.2% of total)ival-add: 1.0ms (10.2% of total)ival-sub: 1.0ms (10.2% of total)ival-sqrt: 1.0ms (10.2% of total)ival-neg: 1.0ms (10.2% of total)adjust: 0.0ms (0% 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: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 728 |
| 1 | 195 | 724 |
| 2 | 387 | 722 |
| 3 | 890 | 722 |
| 4 | 2034 | 714 |
| 5 | 3003 | 714 |
| 6 | 3559 | 714 |
| 7 | 4135 | 714 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 b #s(literal -690000000000000020465765721177526693293507374585571976723246340213695448854103263865810429068816899316726608013065323828749762360770560 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) (if (<=.f64 b #s(literal 6124302029392433/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -39000000000000000606817229049206877946459854479921395901421052636802517465425472427334430206686850459372044953845760 binary64)) #s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) (if (<=.f64 b #s(literal 6124302029392433/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -690000000000000020465765721177526693293507374585571976723246340213695448854103263865810429068816899316726608013065323828749762360770560 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) (if (<=.f64 b #s(literal 6124302029392433/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -6715941175764339/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) #s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) (if (<=.f64 b #s(literal 6124302029392433/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -6715941175764339/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) #s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) (if (<=.f64 b #s(literal 6124302029392433/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal 404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))) |
(if (<=.f64 b #s(literal -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) (/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) #s(literal 0 binary64)) a)) |
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) #s(literal 0 binary64)) a) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -690000000000000020465765721177526693293507374585571976723246340213695448854103263865810429068816899316726608013065323828749762360770560 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) (if (<=.f64 b #s(literal 6124302029392433/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -690000000000000020465765721177526693293507374585571976723246340213695448854103263865810429068816899316726608013065323828749762360770560 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) (if (<=.f64 b #s(literal 6124302029392433/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b))) b) a) #s(literal 3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -39000000000000000606817229049206877946459854479921395901421052636802517465425472427334430206686850459372044953845760 binary64)) #s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) (if (<=.f64 b #s(literal 6124302029392433/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -690000000000000020465765721177526693293507374585571976723246340213695448854103263865810429068816899316726608013065323828749762360770560 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) (if (<=.f64 b #s(literal 6124302029392433/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (neg.f64 b)) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -690000000000000020465765721177526693293507374585571976723246340213695448854103263865810429068816899316726608013065323828749762360770560 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) (if (<=.f64 b #s(literal 6124302029392433/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (*.f64 #s(literal 1/3 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -6715941175764339/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) #s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) (if (<=.f64 b #s(literal 6124302029392433/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -6715941175764339/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) #s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) (if (<=.f64 b #s(literal 6124302029392433/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 a #s(literal -3 binary64)) c))) b) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -6715941175764339/463168356949264781694283940034751631413079938662562256157830336031652518559744 binary64)) #s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) (if (<=.f64 b #s(literal 6124302029392433/1093625362391505962186251113558810682676584715446606218212885303204976499599687961611756588511526912 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) #s(approx (* (neg b) (+ (* (/ c (* b b)) -1/2) (/ 2/3 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal 404804506614621/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b)))) |
(if (<=.f64 b #s(literal -1012011266536553/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) (/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) #s(literal 0 binary64)) a)) |
(/.f64 #s(approx (/ (+ (* (sqrt (+ (* c (* -3 a)) (* b b))) 3) (* 3 (neg b))) 9) #s(literal 0 binary64)) a) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 328 |
| 0 | 93 | 328 |
| 1 | 344 | 325 |
| 2 | 2155 | 325 |
| 0 | 8818 | 320 |
| 0 | 12 | 51 |
| 0 | 20 | 51 |
| 1 | 65 | 51 |
| 2 | 483 | 50 |
| 3 | 5833 | 49 |
| 0 | 8853 | 45 |
| 0 | 944 | 5926 |
| 1 | 3515 | 5801 |
| 0 | 8391 | 5517 |
| 0 | 560 | 3023 |
| 1 | 1942 | 3000 |
| 0 | 8064 | 2850 |
| 0 | 799 | 4986 |
| 1 | 2924 | 4941 |
| 0 | 8890 | 4704 |
| 0 | 50 | 280 |
| 0 | 78 | 278 |
| 1 | 256 | 267 |
| 2 | 1572 | 263 |
| 0 | 8403 | 263 |
| 0 | 45 | 234 |
| 0 | 69 | 231 |
| 1 | 246 | 230 |
| 2 | 1595 | 230 |
| 0 | 8343 | 230 |
| 0 | 1178 | 7400 |
| 1 | 4221 | 7298 |
| 0 | 9195 | 6950 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | 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 |
| 1× | iter limit |
Compiled 728 to 126 computations (82.7% saved)
Compiled 1 490 to 276 computations (81.5% saved)
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