
Time bar (total: 5.9s)
| 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)
| 430.0ms | 5 511× | 0 | valid |
| 220.0ms | 1 211× | 2 | valid |
| 210.0ms | 1 356× | 1 | valid |
| 67.0ms | 946× | 0 | invalid |
| 41.0ms | 178× | 3 | valid |
ival-mult: 229.0ms (32.9% of total)ival-div: 106.0ms (15.2% of total)ival-sqrt: 99.0ms (14.2% of total)adjust: 73.0ms (10.5% of total)ival-sub: 65.0ms (9.3% of total)ival-add: 63.0ms (9.1% of total)ival-neg: 44.0ms (6.3% of total)ival-true: 6.0ms (0.9% of total)ival-assert: 5.0ms (0.7% of total)exact: 5.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 119 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| 73 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 17 | 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)) |
| 2 | 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 | 107 | 0 |
| ↳ | (*.f64 b b) | overflow | 91 | |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | overflow | 22 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | overflow | 107 | |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | cancellation | 73 | 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 | 17 | 0 |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | underflow | 40 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | underflow | 12 | |
| ↳ | (*.f64 b b) | underflow | 44 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | underflow | 30 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) | uflow-rescue | 12 | 0 |
| ↳ | (*.f64 b b) | underflow | 44 | |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | underflow | 40 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | underflow | 12 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | nan-rescue | 2 | 0 |
| ↳ | (*.f64 b b) | overflow | 91 | |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | overflow | 22 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 149 | 0 |
| - | 19 | 88 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 149 | 0 | 0 |
| - | 19 | 0 | 88 |
| number | freq |
|---|---|
| 0 | 88 |
| 1 | 126 |
| 2 | 41 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 27.0ms | 306× | 0 | valid |
| 18.0ms | 84× | 2 | valid |
| 15.0ms | 102× | 1 | valid |
| 5.0ms | 20× | 3 | valid |
Compiled 153 to 40 computations (73.9% saved)
ival-mult: 11.0ms (27.7% of total)ival-sqrt: 7.0ms (17.6% of total)adjust: 6.0ms (15.1% of total)ival-div: 6.0ms (15.1% of total)ival-sub: 4.0ms (10.1% of total)ival-add: 4.0ms (10.1% of total)ival-neg: 2.0ms (5% 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 |
|---|---|---|
| ▶ | 44.4% | (/.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 | 0.39843750000000006 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| accuracy | 3.9356980989202666 | (/.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 | 17.122326809849294 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | |
| accuracy | 27.837025714811446 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| 16.0ms | 153× | 0 | valid |
| 10.0ms | 42× | 2 | valid |
| 8.0ms | 51× | 1 | valid |
| 3.0ms | 10× | 3 | valid |
Compiled 68 to 14 computations (79.4% saved)
ival-mult: 5.0ms (25.5% of total)adjust: 3.0ms (15.3% of total)ival-div: 3.0ms (15.3% of total)ival-sqrt: 3.0ms (15.3% of total)ival-sub: 2.0ms (10.2% of total)ival-add: 2.0ms (10.2% of total)ival-neg: 1.0ms (5.1% 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 | |
|---|---|---|---|---|
| 6.0ms | 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 | 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 | 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)))) |
| 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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(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 1/8 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 1/2 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)))) (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)))) |
(+.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)))))) |
(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))))) |
Compiled 17 801 to 2 122 computations (88.1% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 464 | 14 | 478 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 465 | 14 | 479 |
| Status | Accuracy | Program |
|---|---|---|
| 21.5% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) a) (*.f64 #s(literal -3 binary64) a) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) a))) | |
| ▶ | 25.9% | (/.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)) |
| 13.3% | (/.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)) | |
| ▶ | 44.4% | (/.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)) |
| 8.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.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))))) (*.f64 #s(literal 3 binary64) a)) | |
| 35.0% | (/.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)) | |
| 29.4% | (/.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)) | |
| 24.7% | (/.f64 (+.f64 (neg.f64 b) (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)))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 33.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) |
| ▶ | 31.8% | (/.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)) |
| 33.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 33.4% | #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))) | |
| 41.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| ▶ | 33.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
Compiled 712 to 520 computations (27% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (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)) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (+.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))) | |
| cost-diff | 0 | (/.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)) | |
| cost-diff | 0 | (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 1 | (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b)) | |
| 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 | 46 | 352 |
| 0 | 76 | 352 |
| 1 | 140 | 347 |
| 2 | 309 | 347 |
| 3 | 674 | 347 |
| 4 | 2414 | 347 |
| 5 | 7528 | 347 |
| 0 | 8447 | 344 |
| 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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b)) |
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) |
(/.f64 (*.f64 a (/.f64 c b)) b) |
(*.f64 a (/.f64 c b)) |
a |
(/.f64 c b) |
c |
b |
#s(literal -3/2 binary64) |
#s(literal 2 binary64) |
(neg.f64 b) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.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 (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))) |
(neg.f64 b) |
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)) |
(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)) |
c |
(*.f64 a #s(literal 3 binary64)) |
a |
#s(literal 3 binary64) |
(*.f64 b b) |
#s(literal 2 binary64) |
#s(literal 1/4 binary64) |
(*.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 (/.f64 c b) a) #s(literal -3/2 binary64))) (*.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 (/.f64 c b) a) #s(literal -3/2 binary64))) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(*.f64 (*.f64 (/.f64 c b) a) #s(literal -3/2 binary64)) |
(*.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 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) b)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) b)) |
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b)) |
(*.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64)) b) |
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) |
(/.f64 (*.f64 a (/.f64 c b)) b) |
(/.f64 (*.f64 (/.f64 c b) a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 (/.f64 c b) a) |
a |
(/.f64 c b) |
c |
b |
#s(literal -3/2 binary64) |
#s(literal 2 binary64) |
(neg.f64 b) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.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 (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(+.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 (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) (neg.f64 b)) |
(neg.f64 b) |
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)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) #s(literal 2 binary64)) |
(fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) |
c |
(*.f64 a #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) a) |
a |
#s(literal 3 binary64) |
(*.f64 b b) |
#s(literal 2 binary64) |
#s(literal 1/4 binary64) |
(*.f64 #s(literal 3 binary64) a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.3085909976055602 | (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) | |
| accuracy | 3.9396043489202666 | (/.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)) | |
| accuracy | 17.122326809849294 | (+.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))) | |
| accuracy | 46.74480678416637 | (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)) | |
| accuracy | 2.8111905484227417 | (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b)) | |
| accuracy | 3.9356980989202666 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 4.371198535041899 | (*.f64 a (/.f64 c b)) | |
| accuracy | 42.42773389607899 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) | |
| accuracy | 0.20703125 | (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) | |
| accuracy | 3.9356980989202666 | (/.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 | 4.563815488574927 | (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) | |
| accuracy | 37.10357058529532 | #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 | 0.4999304278258364 | (*.f64 #s(literal -2/3 binary64) (/.f64 b a)) | |
| accuracy | 42.35978180131875 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) | |
| accuracy | 0.0546875 | (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) | |
| accuracy | 3.9356980989202666 | (/.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 | 17.122326809849294 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)))) | |
| accuracy | 27.837025714811446 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
| 51.0ms | 153× | 0 | valid |
| 43.0ms | 42× | 2 | valid |
| 34.0ms | 51× | 1 | valid |
| 16.0ms | 10× | 3 | valid |
Compiled 315 to 43 computations (86.3% saved)
ival-pow: 31.0ms (29% of total)ival-mult: 19.0ms (17.8% of total)ival-add: 15.0ms (14.1% of total)ival-div: 15.0ms (14.1% of total)adjust: 9.0ms (8.4% of total)ival-sqrt: 6.0ms (5.6% of total)ival-pow2: 4.0ms (3.7% of total)const: 4.0ms (3.7% of total)ival-sub: 2.0ms (1.9% of total)exact: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 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 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) |
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) |
(/.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 (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))) |
(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)) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(*.f64 a (/.f64 c b)) |
(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)) |
(* -2 b) |
(+ (* -2 b) (* 3/2 (/ (* a c) b))) |
2 |
(+ 2 (* -3/2 (/ (* a c) (pow b 2)))) |
(* 1/2 (/ c b)) |
(+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))) |
(* 3/2 (/ (* a c) b)) |
(* a (+ (* -9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b)))) |
(* a (+ (* 3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5))))))) |
(* a (+ (* 3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 27/16 (/ (pow c 3) (pow b 5))))))))) |
(+ b (* 3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))))) |
(+ b (* a (+ (* 3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(/ (* a c) b) |
(+ (* 3 (* a c)) (pow b 2)) |
(* 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)))))) |
(* a (+ (* -2 (/ b a)) (* 3/2 (/ c b)))) |
(* -3/2 (/ (* a c) (pow b 2))) |
(* a (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt 3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt 3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3)))))) |
(* (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 (+ (* -3 c) (/ (pow b 2) a))) |
(* 3 (* a c)) |
(* a (+ (* 3 c) (/ (pow b 2) a))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (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 (+ (* -3/2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) (* -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 -3) (sqrt -1))))) |
(+ (* -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 -3) (sqrt -1))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -3) (sqrt -1)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))) |
(* -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 -3) (sqrt -1)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))) |
(* -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 -3) (sqrt -1))))))) |
(* -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 -3) (sqrt -1)))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -3 c) (* -1 (/ (pow b 2) a))))) |
(+ (* 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))))))))) |
(/ (+ (* -2 (pow b 2)) (* 3/2 (* a c))) b) |
(/ (+ (* -3/2 (* a c)) (* 2 (pow b 2))) (pow b 2)) |
(+ (* 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))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (* a c)) (sqrt 3))) |
(+ (* (sqrt (* a c)) (sqrt 3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3))))))) |
(+ (* (sqrt (* a c)) (sqrt 3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt 3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt 3) 5))))))))) |
(/ (+ (* -1/2 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))))))) |
(* b (- (* 3/2 (/ (* a c) (pow b 2))) 2)) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -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)))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b) |
(/ (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b) |
(/ (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -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))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b) |
(* b (+ 1 (* 3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))) |
(* b (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* 3 (/ (* 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))))))) |
(* -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 (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a))))))) |
(* -1 (* b (+ 2 (* 3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 2 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))) |
(* -1 (* b (+ 1 (* 3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))) |
(* 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 (+ (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -3/8 (/ a (pow b 3))) (* 9/16 (/ (* (pow a 2) c) (pow b 5))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b)))) |
(* c (+ (* 3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* 27/16 (/ (* (pow a 3) c) (pow b 5))))))) |
(* c (+ (* 3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* 27/16 (/ (pow a 3) (pow b 5))))))))) |
(+ b (* c (+ (* -9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b))))) |
(+ b (* c (+ (* 3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* 27/16 (/ (* (pow a 3) c) (pow b 5)))))))) |
(* 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)))))) |
(* c (+ (* -2 (/ b c)) (* 3/2 (/ a b)))) |
(* c (+ (* -3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt 3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3)))))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* 3 a) (/ (pow b 2) c))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -3/2 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (* 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 -3) (sqrt -1))))))) |
(* -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 -3) (sqrt -1))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(* -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 -3) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(* -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 -3) (sqrt -1))))))) |
(* -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 -3) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -3 a) (* -1 (/ (pow b 2) c))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 50.0ms | 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) (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (+ (* (/ (* a (/ c b)) b) -3/2) 2) (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4) (+ (* (* -3 a) c) (* b b)) (* a (/ c b)) (+ (* c (* a 3)) (* b b))) |
| 26.0ms | 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) (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (+ (* (/ (* a (/ c b)) b) -3/2) 2) (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4) (+ (* (* -3 a) c) (* b b)) (* a (/ c b)) (+ (* c (* a 3)) (* b b))) |
| 15.0ms | 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) (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (+ (* (/ (* a (/ c b)) b) -3/2) 2) (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4) (+ (* (* -3 a) c) (* b b)) (* a (/ c b)) (+ (* c (* a 3)) (* b b))) |
| 15.0ms | 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) (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (+ (* (/ (* a (/ c b)) b) -3/2) 2) (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4) (+ (* (* -3 a) c) (* b b)) (* a (/ c b)) (+ (* c (* a 3)) (* b b))) |
| 14.0ms | c | @ | 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) (* (+ (* (/ (* a (/ c b)) b) -3/2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (+ (* (/ (* a (/ c b)) b) -3/2) 2) (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4) (+ (* (* -3 a) c) (* b b)) (* a (/ c b)) (+ (* c (* a 3)) (* b b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 975 | 6208 |
| 1 | 3516 | 6162 |
| 0 | 8285 | 5862 |
| 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)) |
(* -2 b) |
(+ (* -2 b) (* 3/2 (/ (* a c) b))) |
2 |
(+ 2 (* -3/2 (/ (* a c) (pow b 2)))) |
(* 1/2 (/ c b)) |
(+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))) |
(* 3/2 (/ (* a c) b)) |
(* a (+ (* -9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b)))) |
(* a (+ (* 3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5))))))) |
(* a (+ (* 3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 27/16 (/ (pow c 3) (pow b 5))))))))) |
(+ b (* 3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))))) |
(+ b (* a (+ (* 3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(/ (* a c) b) |
(+ (* 3 (* a c)) (pow b 2)) |
(* 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)))))) |
(* a (+ (* -2 (/ b a)) (* 3/2 (/ c b)))) |
(* -3/2 (/ (* a c) (pow b 2))) |
(* a (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt 3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt 3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt 3)))))) |
(* (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 (+ (* -3 c) (/ (pow b 2) a))) |
(* 3 (* a c)) |
(* a (+ (* 3 c) (/ (pow b 2) a))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (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 (+ (* -3/2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (- (* 3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) (* -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 -3) (sqrt -1))))) |
(+ (* -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 -3) (sqrt -1))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -3) (sqrt -1)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))) |
(* -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 -3) (sqrt -1)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))))) |
(* -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 -3) (sqrt -1))))))) |
(* -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 -3) (sqrt -1)))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1 (* a (+ (* -3 c) (* -1 (/ (pow b 2) a))))) |
(+ (* 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))))))))) |
(/ (+ (* -2 (pow b 2)) (* 3/2 (* a c))) b) |
(/ (+ (* -3/2 (* a c)) (* 2 (pow b 2))) (pow b 2)) |
(+ (* 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))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (* a c)) (sqrt 3))) |
(+ (* (sqrt (* a c)) (sqrt 3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3))))))) |
(+ (* (sqrt (* a c)) (sqrt 3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt 3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt 3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt 3) 5))))))))) |
(/ (+ (* -1/2 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))))))) |
(* b (- (* 3/2 (/ (* a c) (pow b 2))) 2)) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -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)))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b) |
(/ (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 3/2 (* a c))) b) |
(/ (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -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))) (+ (* 3/2 (* a c)) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b) |
(* b (+ 1 (* 3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2)))))) |
(* b (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* (pow b 2) (+ 1 (* 3 (/ (* 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))))))) |
(* -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 (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a))))))) |
(* -1 (* b (+ 2 (* 3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 2 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))) |
(* -1 (* b (+ 1 (* 3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* 3/2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 1 (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ (* 3/2 (/ (* a c) (pow b 2))) (* 27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6)))))))) |
(* 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 (+ (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -3/8 (/ a (pow b 3))) (* 9/16 (/ (* (pow a 2) c) (pow b 5))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b)))) |
(* c (+ (* 3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* 27/16 (/ (* (pow a 3) c) (pow b 5))))))) |
(* c (+ (* 3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)) (* 27/16 (/ (pow a 3) (pow b 5))))))))) |
(+ b (* c (+ (* -9/8 (/ (* (pow a 2) c) (pow b 3))) (* 3/2 (/ a b))))) |
(+ b (* c (+ (* 3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* 27/16 (/ (* (pow a 3) c) (pow b 5)))))))) |
(* 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)))))) |
(* c (+ (* -2 (/ b c)) (* 3/2 (/ a b)))) |
(* c (+ (* -3/2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt 3))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt 3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt 3)))) (* (sqrt (/ a c)) (sqrt 3)))))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* 3 a) (/ (pow b 2) c))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -3/2 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (- (* 3/2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (* 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 -3) (sqrt -1))))))) |
(* -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 -3) (sqrt -1))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(* -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 -3) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(* -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 -3) (sqrt -1))))))) |
(* -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 -3) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* -3 a) (* -1 (/ (pow b 2) c))))) |
| 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)) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(+ (* -2 b) (* 3/2 (/ (* a c) b))) |
(fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) (*.f64 #s(literal -2 binary64) b)) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -3/2 (/ (* a c) (pow b 2)))) |
(fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)) |
(* 1/2 (/ c b)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 c b)) |
(+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 (*.f64 c c) a)) (pow.f64 b #s(literal 3 binary64)))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(fma.f64 (fma.f64 #s(literal 9/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))) |
(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 #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 (+ (* -9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b)))) |
(*.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a)) (pow.f64 b #s(literal 3 binary64)))) a) |
(* a (+ (* 3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5))))))) |
(*.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 (+ (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 27/16 (/ (pow c 3) (pow b 5))))))))) |
(*.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 (* 3/2 (/ (* a c) b))) |
(fma.f64 #s(literal 3/2 binary64) (*.f64 a (/.f64 c b)) b) |
(+ b (* a (+ (* -9/8 (/ (* a (pow c 2)) (pow b 3))) (* 3/2 (/ c b))))) |
(fma.f64 (fma.f64 #s(literal 3/2 binary64) (/.f64 c b) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 (*.f64 c c) a)) (pow.f64 b #s(literal 3 binary64)))) a b) |
(+ b (* a (+ (* 3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* 27/16 (/ (* a (pow c 3)) (pow b 5)))))))) |
(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) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(/ (* a c) b) |
(*.f64 a (/.f64 c b)) |
(+ (* 3 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/3 binary64)) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(*.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 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) #s(literal -1/24 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/6 binary64) (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (/.f64 c 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 #s(literal -1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64))))) (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))))) |
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(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 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 #s(literal -1/3 binary64) (/.f64 b a))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (/.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 (/ a c)) (* (sqrt -3) (sqrt -1))) (/ b c)))) |
(*.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 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -3) (sqrt -1)))))) |
(*.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) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal -3 binary64)))) 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 -3) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (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 -3) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (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 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.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 -3) (sqrt -1))))))) |
(*.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 (/.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 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.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 -3) (sqrt -1)))))))) |
(*.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 (/.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 c #s(literal 3 binary64)) a)))) #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 3 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c))) |
(* -1 (* c (+ (* -3 a) (* -1 (/ (pow b 2) c))))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 276 |
| 0 | 76 | 270 |
| 1 | 258 | 262 |
| 2 | 1712 | 262 |
| 0 | 8892 | 262 |
| 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 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) |
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) |
(/.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 (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))) |
(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)) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(*.f64 a (/.f64 c b)) |
(fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (-.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 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.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 (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.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 (/.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (pow.f64 (*.f64 a #s(literal -3 binary64)) #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 c #s(literal -3 binary64)) a (*.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 c #s(literal -3 binary64)) a (*.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)) (/.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 2 binary64))))) (neg.f64 (/.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 (+.f64 (pow.f64 (/.f64 (/.f64 b a) #s(literal -3 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.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 (/.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.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 c #s(literal -3 binary64)) a (*.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 c #s(literal -3 binary64)) a (*.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 c #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 (*.f64 c #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 (*.f64 c #s(literal -3 binary64)) a (*.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 c #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 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #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 (*.f64 c #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 (*.f64 c #s(literal -3 binary64)) a (*.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 c #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 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.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 c #s(literal -3 binary64)) a (*.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 c #s(literal -3 binary64)) a (*.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 c #s(literal -3 binary64)) a (*.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 c #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 (*.f64 c #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 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 a #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 (neg.f64 b)))) (*.f64 (*.f64 #s(literal 3 binary64) a) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c #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 a #s(literal -3 binary64)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) a))) #s(literal 9 binary64)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) a (*.f64 #s(literal 3 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #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) (*.f64 a #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 (*.f64 c #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) #s(literal 3 binary64)) #s(literal 3 binary64) (*.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #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)) a (*.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #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)) (*.f64 a #s(literal -3 binary64)) (*.f64 a (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) (*.f64 a (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) a) (*.f64 a (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (*.f64 a (*.f64 #s(literal 3 binary64) a))) |
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(/.f64 (fabs.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (fabs.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 (neg.f64 b) b)))) |
(/.f64 (fabs.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 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 c a)))))) |
(/.f64 (fabs.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 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) |
(/.f64 (exp.f64 (log.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (exp.f64 (log.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 (neg.f64 b) b))))) |
(/.f64 (exp.f64 (log.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (exp.f64 (log.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (*.f64 (neg.f64 b) b))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
(/.f64 (neg.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 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 c a)))))) |
(/.f64 (neg.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 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 (neg.f64 b) b)))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64))) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 (neg.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))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 c a))))) |
(/.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 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) |
(fma.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 b))) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 (neg.f64 (neg.f64 b)) b)) |
(fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 b b)) |
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 (neg.f64 (neg.f64 b)) b)) |
(fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 (neg.f64 (neg.f64 b)) b)) |
(fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) |
(fma.f64 #s(literal 3 binary64) (*.f64 c a) (*.f64 (neg.f64 (neg.f64 b)) b)) |
(fma.f64 #s(literal 3 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 c (*.f64 #s(literal 3 binary64) a) (*.f64 (neg.f64 (neg.f64 b)) b)) |
(fma.f64 c (*.f64 #s(literal 3 binary64) a) (*.f64 b b)) |
(fma.f64 a (*.f64 #s(literal 3 binary64) c) (*.f64 (neg.f64 (neg.f64 b)) b)) |
(fma.f64 a (*.f64 #s(literal 3 binary64) c) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(fma.f64 b b (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (*.f64 (neg.f64 b) b))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (*.f64 (neg.f64 b) b)))))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 (neg.f64 b) b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 (neg.f64 b) b)))) |
(-.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 b))) |
(-.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (*.f64 (neg.f64 b) b)) |
(-.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 c a)) #s(literal 3 binary64))) |
(-.f64 (*.f64 b b) (*.f64 (neg.f64 c) (*.f64 #s(literal 3 binary64) a))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) |
(fabs.f64 (-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 (neg.f64 b) b))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 (neg.f64 b) b))))) |
(fabs.f64 (-.f64 (*.f64 (neg.f64 (neg.f64 b)) (neg.f64 b)) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(fabs.f64 (-.f64 (*.f64 (neg.f64 b) b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(fabs.f64 (-.f64 (*.f64 (neg.f64 (*.f64 c a)) #s(literal 3 binary64)) (*.f64 b b))) |
(fabs.f64 (-.f64 (*.f64 (neg.f64 c) (*.f64 #s(literal 3 binary64) a)) (*.f64 b b))) |
(fabs.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) |
(fabs.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 (neg.f64 b) b))) |
(fabs.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 c a))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 3 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 c a)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 3 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 c a))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 b b) #s(literal 3 binary64)) (*.f64 c a)))))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (/.f64 (*.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
(+.f64 (cosh.f64 (log.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (sinh.f64 (log.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b))))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 (neg.f64 b) b))) (/.f64 (*.f64 (*.f64 (neg.f64 b) b) (*.f64 b b)) (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 (neg.f64 b) b)))) |
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (*.f64 (neg.f64 (neg.f64 b)) b)) |
(+.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) #s(literal 4 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (log.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) |
Compiled 34 288 to 4 032 computations (88.2% saved)
20 alts after pruning (18 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 831 | 15 | 846 |
| Fresh | 6 | 3 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 840 | 20 | 860 |
| Status | Accuracy | Program |
|---|---|---|
| 21.5% | (/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) a) (*.f64 #s(literal -3 binary64) a) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) a))) | |
| 41.3% | (/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) | |
| ▶ | 44.4% | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
| 44.4% | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) | |
| 33.5% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) a) #s(literal 3 binary64)) | |
| 20.0% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.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))) | |
| ✓ | 44.4% | (/.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)) |
| ▶ | 32.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
| 29.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 31.9% | (/.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)) | |
| 31.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 c (/.f64 a b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) | |
| 31.9% | (/.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)) | |
| 33.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 36.0% | (/.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)) |
| 18.6% | (+.f64 (/.f64 (*.f64 b b) (*.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 (neg.f64 (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 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))) | |
| ▶ | 31.5% | #s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
| 11.6% | #s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) | |
| 33.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) | |
| ▶ | 41.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ✓ | 33.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
Compiled 1 001 to 677 computations (32.4% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 1 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) | |
| cost-diff | 0 | (/.f64 c (*.f64 b b)) | |
| 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 | #s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) | |
| cost-diff | 1 | (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) | |
| 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 c #s(literal -3 binary64)) a (*.f64 b b))) | |
| cost-diff | 0 | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) a) | |
| cost-diff | 0 | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) | |
| cost-diff | 1 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 408 |
| 0 | 94 | 402 |
| 1 | 177 | 401 |
| 2 | 401 | 401 |
| 3 | 995 | 401 |
| 4 | 4265 | 392 |
| 5 | 7828 | 392 |
| 0 | 8097 | 389 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) a) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 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) |
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) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
(*.f64 (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 c (*.f64 b b)) |
c |
(*.f64 b b) |
b |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 2/3 binary64) a) |
#s(literal 2/3 binary64) |
a |
(neg.f64 b) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)))) |
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)) |
(fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -3 binary64) a) b) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
a |
(/.f64 c b) |
c |
#s(literal 1 binary64) |
(*.f64 b b) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 c #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) c) |
c |
#s(literal -3 binary64) |
a |
(*.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) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) b) b) c (/.f64 #s(literal -2/3 binary64) a)) b)) |
(*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
(*.f64 (fma.f64 (/.f64 (/.f64 #s(literal -1/2 binary64) b) b) c (/.f64 #s(literal -2/3 binary64) a)) b) |
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (/.f64 c b) b) (/.f64 #s(literal 2/3 binary64) a)) |
(/.f64 c (*.f64 b b)) |
(/.f64 (/.f64 c b) b) |
c |
(*.f64 b b) |
b |
#s(literal 1/2 binary64) |
(/.f64 #s(literal 2/3 binary64) a) |
#s(literal 2/3 binary64) |
a |
(neg.f64 b) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))) b) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) |
(-.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))) b) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)))) |
(sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))) |
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))) |
#s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b) |
(fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -3 binary64) a) b) |
(/.f64 (*.f64 a #s(literal -3 binary64)) b) |
(*.f64 #s(literal -3 binary64) a) |
(*.f64 a #s(literal -3 binary64)) |
#s(literal -3 binary64) |
a |
(/.f64 c b) |
c |
#s(literal 1 binary64) |
(*.f64 b b) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.9356980989202666 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 8.538490828995057 | (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)) | |
| accuracy | 17.122326809849294 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) | |
| accuracy | 27.837025714811446 | (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)))) | |
| accuracy | 0.37890625 | (/.f64 #s(literal 2/3 binary64) a) | |
| accuracy | 4.6497885525326845 | (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) | |
| accuracy | 7.442450333113682 | (/.f64 c (*.f64 b b)) | |
| accuracy | 42.412921121570086 | #s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) | |
| accuracy | 0.15234375 | (*.f64 (*.f64 a (/.f64 c b)) #s(literal -3/2 binary64)) | |
| accuracy | 3.9356980989202666 | (/.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 | 4.371198535041899 | (*.f64 a (/.f64 c b)) | |
| accuracy | 37.10357058529532 | #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 | 0.00390625 | (*.f64 (/.f64 c b) #s(literal -1/2 binary64)) | |
| accuracy | 37.15960676333118 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| accuracy | 0.1875 | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) | |
| accuracy | 3.8095545640476334 | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) a) | |
| accuracy | 17.122326809849294 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) | |
| accuracy | 27.837025714811446 | (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
| 61.0ms | 153× | 0 | valid |
| 56.0ms | 42× | 2 | valid |
| 35.0ms | 51× | 1 | valid |
| 17.0ms | 10× | 3 | valid |
Compiled 323 to 54 computations (83.3% saved)
ival-mult: 31.0ms (24.8% of total)ival-pow: 26.0ms (20.8% of total)ival-div: 19.0ms (15.2% of total)ival-add: 15.0ms (12% of total)adjust: 12.0ms (9.6% of total)ival-sqrt: 9.0ms (7.2% of total)const: 5.0ms (4% of total)ival-pow2: 4.0ms (3.2% 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-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) a) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.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 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 (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 c (*.f64 b b)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)))) |
(/.f64 #s(literal 2/3 binary64) a) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)) |
| Outputs |
|---|
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -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))))))) |
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) |
(* 1/2 (/ c b)) |
(+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))) |
(/ 2/3 a) |
(/ (+ 2/3 (* 1/2 (/ (* a c) (pow b 2)))) a) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* (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))) |
(* 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))))) |
(* 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)))))) |
(+ (* -2/3 (/ b a)) (* -1/2 (/ c 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)))))) |
(* 1/2 (/ c (pow b 2))) |
(+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) 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)))))) |
(* -1/3 (* (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 (* 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 (/ c a)) (* (sqrt -3) (sqrt -1)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) (* -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 -3) (sqrt -1))))) |
(+ (* -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 -3) (sqrt -1))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(+ (* -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))) |
(+ (* 1/3 (* (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))) |
(+ (* 1/2 (* (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) |
(+ (* 1/3 (* (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 c) (* 2/3 (/ (pow b 2) a))) (pow b 2)) |
(/ c (pow b 2)) |
(* -1 b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/ (+ (* -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) |
(* 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)))) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -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)))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* -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 (+ (* -1/2 (/ 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))))))) |
(* -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 (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a))))))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* -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)))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -3/8 (/ a (pow b 3))) (* 9/16 (/ (* (pow a 2) c) (pow b 5))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* -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 (+ (* 1/2 (* (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 (+ (* -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 (+ (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -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 (+ (* 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 (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (* 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 -3) (sqrt -1))))))) |
(* -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 -3) (sqrt -1))))))) |
(* c (+ (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | c | @ | -inf | ((+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) (/ (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) a) (sqrt (+ (* (* c -3) a) (* 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)) (* (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (neg b)) (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (/ c (* b b)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ 2/3 a) (* (+ (* (/ (* -3 a) b) (/ c b)) 1) (* b b))) |
| 17.0ms | a | @ | inf | ((+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) (/ (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) a) (sqrt (+ (* (* c -3) a) (* 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)) (* (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (neg b)) (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (/ c (* b b)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ 2/3 a) (* (+ (* (/ (* -3 a) b) (/ c b)) 1) (* b b))) |
| 15.0ms | c | @ | 0 | ((+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) (/ (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) a) (sqrt (+ (* (* c -3) a) (* 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)) (* (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (neg b)) (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (/ c (* b b)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ 2/3 a) (* (+ (* (/ (* -3 a) b) (/ c b)) 1) (* b b))) |
| 14.0ms | b | @ | 0 | ((+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) (/ (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) a) (sqrt (+ (* (* c -3) a) (* 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)) (* (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (neg b)) (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (/ c (* b b)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ 2/3 a) (* (+ (* (/ (* -3 a) b) (/ c b)) 1) (* b b))) |
| 13.0ms | b | @ | inf | ((+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) (/ (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) a) 3) (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) a) (sqrt (+ (* (* c -3) a) (* 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)) (* (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (neg b)) (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (/ c (* b b)) (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (/ (+ (neg b) (sqrt (+ (* (* -3 a) c) (* b b)))) (* 3 a)) (neg b) (sqrt (+ (* (* -3 a) c) (* b b))) (/ 2/3 a) (* (+ (* (/ (* -3 a) b) (/ c b)) 1) (* b b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 840 | 5041 |
| 1 | 3020 | 4998 |
| 0 | 9048 | 4755 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -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))))))) |
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) |
(* 1/2 (/ c b)) |
(+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))) |
(/ 2/3 a) |
(/ (+ 2/3 (* 1/2 (/ (* a c) (pow b 2)))) a) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* (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))) |
(* 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))))) |
(* 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)))))) |
(+ (* -2/3 (/ b a)) (* -1/2 (/ c 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)))))) |
(* 1/2 (/ c (pow b 2))) |
(+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) 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)))))) |
(* -1/3 (* (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 (* 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 (/ c a)) (* (sqrt -3) (sqrt -1)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) (* -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 -3) (sqrt -1))))) |
(+ (* -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 -3) (sqrt -1))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(+ (* -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))) |
(+ (* 1/3 (* (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))) |
(+ (* 1/2 (* (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) |
(+ (* 1/3 (* (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 c) (* 2/3 (/ (pow b 2) a))) (pow b 2)) |
(/ c (pow b 2)) |
(* -1 b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/ (+ (* -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) |
(* 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)))) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -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)))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* -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 (+ (* -1/2 (/ 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))))))) |
(* -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 (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a))))))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (- (* -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)))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -3/8 (/ a (pow b 3))) (* 9/16 (/ (* (pow a 2) c) (pow b 5))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* -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 (+ (* 1/2 (* (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 (+ (* -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 (+ (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -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 (+ (* 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 (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (* 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 -3) (sqrt -1))))))) |
(* -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 -3) (sqrt -1))))))) |
(* c (+ (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
| Outputs |
|---|
(* -3/2 (/ (* a c) b)) |
(*.f64 (/.f64 (*.f64 a 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 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 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 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.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 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.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) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(* -3/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -3/2 binary64)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) |
(+ (* -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 (/.f64 c b) #s(literal -3/2 binary64))) |
(+ (* -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 (/.f64 c b) #s(literal -3/2 binary64))) |
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 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) 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 (/.f64 c b) #s(literal -3/2 binary64))) a b) |
(/ (* a c) b) |
(/.f64 (*.f64 a 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 -2/3 binary64) b (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 a c) b))) a) |
(* 1/2 (/ c b)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 c b)) |
(+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))) |
(fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal 9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/6 binary64) (/.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) (/.f64 (*.f64 #s(literal 9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(/ 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) a) (/.f64 c (*.f64 b b)) #s(literal 2/3 binary64)) a) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 a c) #s(literal -3 binary64) (*.f64 b b)) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 a c))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.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 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.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 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (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 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) (/.f64 b a)))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(fma.f64 #s(literal 1/6 binary64) (*.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)))) (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(fma.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 3 binary64)))) (fma.f64 #s(literal 1/6 binary64) (*.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)))) (*.f64 #s(literal -1/3 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.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 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.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))))) |
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(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (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 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) #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 (/.f64 #s(literal 1 binary64) 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) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (*.f64 (*.f64 #s(literal 1/2 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)))))) c)) (neg.f64 c)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* c (+ (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64) (/.f64 #s(literal 1/2 binary64) b))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (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 -3) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -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 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))))) (neg.f64 c))) (neg.f64 c)))) |
(* c (+ (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) 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)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 306 |
| 0 | 94 | 299 |
| 1 | 352 | 297 |
| 2 | 2432 | 297 |
| 0 | 8337 | 296 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) a) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.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 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 (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 c (*.f64 b b)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)))) |
(/.f64 #s(literal 2/3 binary64) a) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)) |
| Outputs |
|---|
(/.f64 (-.f64 (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 b))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 b)) (*.f64 b b))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 b)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 b)))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) |
(/.f64 (fma.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 3/2 binary64)) (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (*.f64 (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (+.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) (*.f64 (fma.f64 b b (+.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 3/2 binary64)))) (*.f64 (fma.f64 b b (+.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) (fma.f64 b b (+.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b))) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 b)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (fma.f64 b b (+.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) |
(/.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 b))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 b b (+.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) |
(fma.f64 (neg.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 1/4 binary64))) (neg.f64 b)) |
(fma.f64 (fabs.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 1/4 binary64))) (neg.f64 b)) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 (neg.f64 b) b))) (neg.f64 b)) |
(fma.f64 (sqrt.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) (neg.f64 b)) |
(fma.f64 (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) (sqrt.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) (neg.f64 b)) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (sqrt.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) (neg.f64 b)) |
(fma.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) a (*.f64 (neg.f64 b) b)) #s(literal 1/2 binary64)) (neg.f64 b)) |
(fma.f64 (pow.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64))) (fma.f64 #s(literal 27 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 9 binary64) (*.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b))) #s(literal 1/2 binary64)) (neg.f64 b)) |
(fma.f64 (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) #s(literal 1/2 binary64)) (neg.f64 b)) |
(fma.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 1/4 binary64)) (neg.f64 b)) |
(-.f64 (/.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 b)))) |
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(pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) #s(literal 1 binary64)) |
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(/.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))) (hypot.f64 (*.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal 3 binary64) a) c (*.f64 b b)))) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
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(sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) |
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(fabs.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))))))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
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(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 b))) |
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(/.f64 (fma.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (neg.f64 a) (*.f64 (*.f64 (neg.f64 b) b) #s(literal -2/3 binary64))) (*.f64 (*.f64 (neg.f64 b) b) (neg.f64 a))) |
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(/.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))) (neg.f64 b)))) (*.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) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))))) (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 2 binary64))) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (fma.f64 b b (+.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)) (*.f64 b (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)))))) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (neg.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))) (neg.f64 b))) (*.f64 a #s(literal -3 binary64))) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 (/.f64 (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))) (neg.f64 b)) (*.f64 a #s(literal -3 binary64)))) |
(+.f64 (/.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 b (*.f64 a #s(literal -3 binary64)))) |
(+.f64 (/.f64 b (*.f64 a #s(literal -3 binary64))) (/.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))) (*.f64 #s(literal 3 binary64) a))) |
(neg.f64 b) |
(*.f64 (neg.f64 (pow.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)))) (sqrt.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))) #s(literal 1 binary64)) |
(pow.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))) |
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))))) |
(fabs.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)))))) |
(exp.f64 (log.f64 (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))))) |
(/.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)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) (neg.f64 b)) (neg.f64 b)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b) |
(*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)) |
(*.f64 (neg.f64 b) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)))) |
(*.f64 (*.f64 b b) (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64))) |
(*.f64 b (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b)) |
(/.f64 (*.f64 (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 b b)) (-.f64 (*.f64 (*.f64 (/.f64 c b) #s(literal -3 binary64)) (/.f64 a b)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 3 binary64)) #s(literal 1 binary64)) (*.f64 b b)) (fma.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 c b) #s(literal -3 binary64)) (/.f64 a b))))) |
(/.f64 (*.f64 (*.f64 b b) (-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 #s(literal 3 binary64) a) c) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 (/.f64 c b) #s(literal -3 binary64)) (/.f64 a b)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 b b) (fma.f64 #s(literal -27 binary64) (pow.f64 (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 #s(literal 9 binary64) (pow.f64 (/.f64 (*.f64 a c) (*.f64 b b)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 c b) #s(literal -3 binary64)) (/.f64 a b))))) |
(fma.f64 (*.f64 (*.f64 (/.f64 c b) #s(literal -3 binary64)) (/.f64 a b)) (*.f64 b b) (*.f64 #s(literal 1 binary64) (*.f64 b b))) |
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 (*.f64 (*.f64 (/.f64 c b) #s(literal -3 binary64)) (/.f64 a b)) (*.f64 b b))) |
(fma.f64 (*.f64 b b) (*.f64 (*.f64 (/.f64 c b) #s(literal -3 binary64)) (/.f64 a b)) (*.f64 (*.f64 b b) #s(literal 1 binary64))) |
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 (*.f64 b b) (*.f64 (*.f64 (/.f64 c b) #s(literal -3 binary64)) (/.f64 a b)))) |
(+.f64 (*.f64 (*.f64 (*.f64 (/.f64 c b) #s(literal -3 binary64)) (/.f64 a b)) (*.f64 b b)) (*.f64 #s(literal 1 binary64) (*.f64 b b))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 b b)) (*.f64 (*.f64 (*.f64 (/.f64 c b) #s(literal -3 binary64)) (/.f64 a b)) (*.f64 b b))) |
(+.f64 (*.f64 (*.f64 b b) (*.f64 (*.f64 (/.f64 c b) #s(literal -3 binary64)) (/.f64 a b))) (*.f64 (*.f64 b b) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 b b) #s(literal 1 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 (/.f64 c b) #s(literal -3 binary64)) (/.f64 a b)))) |
Compiled 22 813 to 2 609 computations (88.6% saved)
26 alts after pruning (20 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 532 | 11 | 543 |
| Fresh | 4 | 9 | 13 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 2 | 2 |
| Total | 537 | 26 | 563 |
| Status | Accuracy | Program |
|---|---|---|
| 41.3% | (/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) | |
| 20.1% | (/.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 b)) a)) #s(literal 3 binary64)) | |
| ✓ | 44.4% | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
| ▶ | 44.4% | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
| 33.7% | (/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64)) | |
| 20.0% | (/.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))) | |
| ✓ | 44.4% | (/.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)) |
| ✓ | 32.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
| 29.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 31.9% | (/.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)) | |
| 31.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 c (/.f64 a b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 31.9% | (/.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)) |
| ▶ | 33.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
| ✓ | 36.0% | (/.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)) |
| 33.4% | #s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 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))) | |
| ▶ | 31.5% | #s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
| 33.6% | #s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(approx (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) | |
| 26.8% | #s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(approx (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64))) (neg.f64 b))) | |
| 29.6% | #s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(approx (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) c)) (neg.f64 b))) | |
| 11.6% | #s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) | |
| 33.5% | #s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) #s(approx (* (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))) | |
| 21.3% | #s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) #s(approx (* (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))) | |
| 33.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal -2/3 binary64) b) a)) | |
| ✓ | 41.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ▶ | 41.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| ✓ | 33.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
Compiled 1 343 to 954 computations (29% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) | |
| cost-diff | 0 | (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) | |
| cost-diff | 3 | (*.f64 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) | |
| 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 #s(literal 3 binary64) a) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) b) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 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 | (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) | |
| cost-diff | 0 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) | |
| cost-diff | 0 | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 298 |
| 0 | 78 | 298 |
| 1 | 141 | 293 |
| 2 | 312 | 293 |
| 3 | 686 | 293 |
| 4 | 1960 | 289 |
| 5 | 5094 | 289 |
| 0 | 8048 | 286 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 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) |
b |
(neg.f64 b) |
#s(literal 3 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 (+ (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)))) (*.f64 #s(literal -2 binary64) b)) |
(*.f64 #s(literal -2 binary64) b) |
#s(literal -2 binary64) |
b |
(*.f64 #s(literal 3 binary64) a) |
#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)) |
#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) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
(*.f64 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
(fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) |
c |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
#s(literal 1/2 binary64) |
(*.f64 b b) |
b |
(/.f64 #s(literal 2/3 binary64) a) |
#s(literal 2/3 binary64) |
a |
(neg.f64 b) |
| Outputs |
|---|
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) 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)))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 c #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) c) |
c |
#s(literal -3 binary64) |
a |
(*.f64 b b) |
b |
(neg.f64 b) |
#s(literal 3 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 (+ (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)))) (*.f64 #s(literal -2 binary64) b)) |
(*.f64 #s(literal -2 binary64) b) |
#s(literal -2 binary64) |
b |
(*.f64 #s(literal 3 binary64) a) |
#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 #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) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (fma.f64 (/.f64 #s(literal -2/3 binary64) a) b (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))) |
(*.f64 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
(fma.f64 (/.f64 #s(literal -2/3 binary64) a) b (*.f64 (/.f64 #s(literal -1/2 binary64) b) c)) |
(fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c (/.f64 #s(literal 2/3 binary64) a)) |
c |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
#s(literal 1/2 binary64) |
(*.f64 b b) |
b |
(/.f64 #s(literal 2/3 binary64) a) |
#s(literal 2/3 binary64) |
a |
(neg.f64 b) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.37890625 | (/.f64 #s(literal 2/3 binary64) a) | |
| accuracy | 3.4114614791573468 | (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) | |
| accuracy | 4.6497885525326845 | (*.f64 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) | |
| accuracy | 42.412921121570086 | #s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) | |
| accuracy | 0.203125 | (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) | |
| accuracy | 3.9356980989202666 | (/.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 | 4.563815488574927 | (*.f64 (*.f64 a (/.f64 #s(literal -3/2 binary64) b)) c) | |
| accuracy | 37.10357058529532 | #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 #s(literal 3 binary64) a) | |
| accuracy | 0.0 | (*.f64 #s(literal -2 binary64) b) | |
| accuracy | 3.9356980989202666 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 42.427602431983814 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) | |
| accuracy | 0.0 | (/.f64 #s(literal -1/2 binary64) b) | |
| accuracy | 0.171875 | (*.f64 c (/.f64 #s(literal -1/2 binary64) b)) | |
| accuracy | 37.15960676333118 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) | |
| accuracy | 0.14453125 | (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) | |
| accuracy | 3.9034206207724784 | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) | |
| accuracy | 17.122326809849294 | (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) | |
| accuracy | 27.837025714811446 | (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
| 46.0ms | 153× | 0 | valid |
| 44.0ms | 42× | 2 | valid |
| 30.0ms | 51× | 1 | valid |
| 15.0ms | 10× | 3 | valid |
Compiled 263 to 46 computations (82.5% saved)
ival-pow: 26.0ms (24.5% of total)ival-mult: 19.0ms (17.9% of total)ival-div: 18.0ms (16.9% of total)ival-add: 15.0ms (14.1% of total)adjust: 9.0ms (8.5% of total)ival-sqrt: 6.0ms (5.6% of total)const: 5.0ms (4.7% of total)ival-pow2: 4.0ms (3.8% of total)ival-sub: 2.0ms (1.9% of total)exact: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
#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 (+ (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)))) (*.f64 #s(literal -2 binary64) b)) |
(*.f64 #s(literal -2 binary64) b) |
(*.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)) |
#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 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
(fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) (*.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))))))) |
(* -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)))))))) |
(* -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) |
(* -3/2 (/ a b)) |
(* -2/3 (/ b a)) |
(/ (+ (* -2/3 b) (* -1/2 (/ (* a c) b))) a) |
(* 1/2 (/ c b)) |
(+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))) |
(/ 2/3 a) |
(/ (+ 2/3 (* 1/2 (/ (* a c) (pow b 2)))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* 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))))))) |
(* (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)))))) |
(+ (* -2/3 (/ b a)) (* -1/2 (/ c 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)))))) |
(* 1/2 (/ c (pow b 2))) |
(+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/3 (* (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 (* (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 (/ c a)) (* (sqrt -3) (sqrt -1)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) (* -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 -3) (sqrt -1))))) |
(+ (* -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 -3) (sqrt -1))))) |
(+ (* 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))))) |
(+ (* -1/3 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))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(/ -1/2 b) |
(* -2 b) |
(/ (+ (* -2/3 (/ (pow b 2) a)) (* -1/2 c)) 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 c) (* 2/3 (/ (pow b 2) a))) (pow b 2)) |
(/ 1/2 (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) |
(/ (+ (* -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) |
(/ (+ (* -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)))) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -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)))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) 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))))))) |
(* -2/3 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)))))))) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -1/2 (/ 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 (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -3/8 (/ a (pow b 3))) (* 9/16 (/ (* (pow a 2) c) (pow b 5))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 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 (+ (* -1/3 (/ 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 (+ (* -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 (+ (* -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 (+ (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))) |
(* -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 (+ (* 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 (+ (* (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 (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (* 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 -3) (sqrt -1))))))) |
(* -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 -3) (sqrt -1))))))) |
(* c (+ (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 16.0ms | b | @ | 0 | ((/ (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) 3) (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) (sqrt (+ (* (* c -3) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* -2 b) (* 3 a) (/ (+ (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)) (* (+ (* c (/ 1/2 (* b b))) (/ 2/3 a)) (neg b)) (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (+ (* c (/ 1/2 (* b b))) (/ 2/3 a)) (/ 1/2 (* b b)) (/ 2/3 a)) |
| 15.0ms | a | @ | 0 | ((/ (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) 3) (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) (sqrt (+ (* (* c -3) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* -2 b) (* 3 a) (/ (+ (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)) (* (+ (* c (/ 1/2 (* b b))) (/ 2/3 a)) (neg b)) (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (+ (* c (/ 1/2 (* b b))) (/ 2/3 a)) (/ 1/2 (* b b)) (/ 2/3 a)) |
| 15.0ms | b | @ | -inf | ((/ (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) 3) (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) (sqrt (+ (* (* c -3) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* -2 b) (* 3 a) (/ (+ (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)) (* (+ (* c (/ 1/2 (* b b))) (/ 2/3 a)) (neg b)) (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (+ (* c (/ 1/2 (* b b))) (/ 2/3 a)) (/ 1/2 (* b b)) (/ 2/3 a)) |
| 14.0ms | c | @ | -inf | ((/ (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) 3) (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) (sqrt (+ (* (* c -3) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* -2 b) (* 3 a) (/ (+ (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)) (* (+ (* c (/ 1/2 (* b b))) (/ 2/3 a)) (neg b)) (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (+ (* c (/ 1/2 (* b b))) (/ 2/3 a)) (/ 1/2 (* b b)) (/ 2/3 a)) |
| 13.0ms | b | @ | inf | ((/ (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) 3) a) (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) 3) (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) (sqrt (+ (* (* c -3) a) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* c (/ -1/2 b)) (/ -1/2 b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* -2 b) (* 3 a) (/ (+ (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)) (* (+ (* c (/ 1/2 (* b b))) (/ 2/3 a)) (neg b)) (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (+ (* c (/ 1/2 (* b b))) (/ 2/3 a)) (/ 1/2 (* b b)) (/ 2/3 a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 834 | 5017 |
| 1 | 3019 | 4965 |
| 0 | 9114 | 4729 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -1/2 (/ (* 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)))))))) |
(* -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) |
(* -3/2 (/ a b)) |
(* -2/3 (/ b a)) |
(/ (+ (* -2/3 b) (* -1/2 (/ (* a c) b))) a) |
(* 1/2 (/ c b)) |
(+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))) |
(/ 2/3 a) |
(/ (+ 2/3 (* 1/2 (/ (* a c) (pow b 2)))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* 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))))))) |
(* (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)))))) |
(+ (* -2/3 (/ b a)) (* -1/2 (/ c 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)))))) |
(* 1/2 (/ c (pow b 2))) |
(+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1/3 (* (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 (* (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 (/ c a)) (* (sqrt -3) (sqrt -1)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -3) (sqrt -1)))) (* -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 -3) (sqrt -1))))) |
(+ (* -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 -3) (sqrt -1))))) |
(+ (* 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))))) |
(+ (* -1/3 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))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(/ -1/2 b) |
(* -2 b) |
(/ (+ (* -2/3 (/ (pow b 2) a)) (* -1/2 c)) 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 c) (* 2/3 (/ (pow b 2) a))) (pow b 2)) |
(/ 1/2 (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) |
(/ (+ (* -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) |
(/ (+ (* -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)))) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* 1/2 c)) b) |
(/ (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))))) b) |
(/ (+ (* -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)))) (+ (* 1/2 c) (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4)))))) 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))))))) |
(* -2/3 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)))))))) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (+ (* 1/2 (/ c (pow b 2))) (+ (* 9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (* 2/3 (/ 1 a))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -1/2 (/ 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 (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -3/8 (/ a (pow b 3))) (* 9/16 (/ (* (pow a 2) c) (pow b 5))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))) (* 9/16 (/ (pow a 2) (pow b 5))))))) (* 1/2 (/ 1 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 (+ (* -1/3 (/ 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 (+ (* -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 (+ (* -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 (+ (* 2/3 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b 2))))) |
(* -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 (+ (* 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 (+ (* (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 (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (* 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 -3) (sqrt -1))))))) |
(* -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 -3) (sqrt -1))))))) |
(* c (+ (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))) |
| 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))) |
(* -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) |
(* -3/2 (/ (* a c) b)) |
(*.f64 #s(literal -3/2 binary64) (*.f64 a (/.f64 c b))) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 (*.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) |
(* 3 a) |
(*.f64 #s(literal 3 binary64) a) |
(* -3/2 (/ a b)) |
(*.f64 (/.f64 a b) #s(literal -3/2 binary64)) |
(* -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 -2/3 binary64) b (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) |
(* 1/2 (/ c b)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 c b)) |
(+ (* -3/8 (/ (* a (pow c 2)) (pow b 3))) (* 1/2 (/ c b))) |
(fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* 9/16 (/ (* a (pow c 3)) (pow b 5)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal 9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(+ (* 1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)) (* 9/16 (/ (pow c 3) (pow b 5)))))))) |
(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 #s(literal 1/2 binary64) (/.f64 c b))) |
(/ 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) a) (/.f64 c (*.f64 b b)) #s(literal 2/3 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))))))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (*.f64 a c))) |
(* 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))))))) |
(*.f64 (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))))))) a) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (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))))) |
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(*.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 (/.f64 #s(literal 1 binary64) a) c))) b) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)))) (neg.f64 c)) b) (neg.f64 c)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* c (+ (* 2/3 (/ b (* a c))) (* 1/2 (/ 1 b))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (/.f64 b a) c) #s(literal 2/3 binary64) (/.f64 #s(literal 1/2 binary64) b))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (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 -3) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal -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 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt -3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -3) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/3 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -3 binary64) (sqrt.f64 #s(literal -3 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))))) (neg.f64 c))) (neg.f64 c)))) |
(* c (+ (* 1/2 (/ 1 (pow b 2))) (* 2/3 (/ 1 (* a c))))) |
(*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) c) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 249 |
| 0 | 78 | 247 |
| 1 | 264 | 241 |
| 2 | 1790 | 241 |
| 0 | 8450 | 240 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
#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 (+ (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)))) (*.f64 #s(literal -2 binary64) b)) |
(*.f64 #s(literal -2 binary64) b) |
(*.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)) |
#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 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b)) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
(fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(/.f64 #s(literal 2/3 binary64) a) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (neg.f64 b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (neg.f64 b))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (neg.f64 b)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (neg.f64 b))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (fma.f64 b b (+.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (fma.f64 b b (+.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 b b (+.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))))))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (fma.f64 b b (+.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 #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 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(literal 3 binary64)) (/.f64 (pow.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 27 binary64))) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #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 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)))))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (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 (sqrt.f64 (fma.f64 a (*.f64 #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 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (pow.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 27 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #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 (neg.f64 b) a) #s(literal 3 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 #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 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b)))))) (neg.f64 (pow.f64 (*.f64 a #s(literal -3 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (neg.f64 b))))) (neg.f64 (neg.f64 (*.f64 a #s(literal -3 binary64))))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #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 a (*.f64 #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 a (*.f64 #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 a (*.f64 #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 (neg.f64 (sqrt.f64 (fma.f64 a (*.f64 #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 a (*.f64 #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 a (*.f64 #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 a (*.f64 #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 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 #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 a (*.f64 #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 a (*.f64 #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 a (*.f64 #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 (sqrt.f64 (fma.f64 a (*.f64 #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 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) (*.f64 a #s(literal -3 binary64)) (*.f64 (*.f64 #s(literal 3 binary64) a) (neg.f64 (neg.f64 b)))) (*.f64 (*.f64 #s(literal 3 binary64) a) (*.f64 a #s(literal -3 binary64)))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 #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 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 a) (*.f64 (*.f64 (neg.f64 b) b) #s(literal -2/3 binary64))) (*.f64 (*.f64 (neg.f64 b) b) (neg.f64 a))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 (neg.f64 a)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 2/3 binary64))) (*.f64 (*.f64 (neg.f64 b) b) (neg.f64 (neg.f64 a)))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) a (*.f64 (*.f64 (neg.f64 b) b) #s(literal 2/3 binary64))) (*.f64 (*.f64 (neg.f64 b) b) a)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (neg.f64 (neg.f64 a)) (*.f64 (*.f64 b b) #s(literal 2/3 binary64))) (*.f64 (*.f64 b b) (neg.f64 (neg.f64 a)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (neg.f64 a) (*.f64 (*.f64 (neg.f64 b) b) #s(literal -2/3 binary64))) (*.f64 (*.f64 (neg.f64 b) b) (neg.f64 a))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) (neg.f64 (neg.f64 a)) (*.f64 (*.f64 (neg.f64 b) b) #s(literal 2/3 binary64))) (*.f64 (*.f64 (neg.f64 b) b) (neg.f64 (neg.f64 a)))) |
(/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) c) a (*.f64 (*.f64 (neg.f64 b) b) #s(literal 2/3 binary64))) (*.f64 (*.f64 (neg.f64 b) b) a)) |
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) c) (neg.f64 a) (*.f64 (neg.f64 b) #s(literal -2/3 binary64))) (*.f64 (neg.f64 b) (neg.f64 a))) |
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) c) (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 b) #s(literal 2/3 binary64))) (*.f64 (neg.f64 b) (neg.f64 (neg.f64 a)))) |
(/.f64 (fma.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b) c) a (*.f64 (neg.f64 b) #s(literal 2/3 binary64))) (*.f64 (neg.f64 b) a)) |
(/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (neg.f64 a) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))) (*.f64 (neg.f64 a) b)) |
(/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (neg.f64 a) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))) (*.f64 (neg.f64 a) b)) |
(/.f64 (fma.f64 #s(literal -2/3 binary64) b (*.f64 (neg.f64 a) (*.f64 c (/.f64 #s(literal 1/2 binary64) b)))) (*.f64 (neg.f64 a) b)) |
(/.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 a) (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))) (*.f64 (neg.f64 a) (*.f64 (neg.f64 b) b))) |
(/.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 a) (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (neg.f64 a) (*.f64 (neg.f64 b) b))) |
(/.f64 (fma.f64 #s(literal -2/3 binary64) (neg.f64 b) (*.f64 (neg.f64 a) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))) (*.f64 (neg.f64 a) (neg.f64 b))) |
(/.f64 (fma.f64 #s(literal 2/3 binary64) b (*.f64 (neg.f64 (neg.f64 a)) (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))) (*.f64 (neg.f64 (neg.f64 a)) b)) |
(/.f64 (fma.f64 #s(literal 2/3 binary64) b (*.f64 (neg.f64 (neg.f64 a)) (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))) (*.f64 (neg.f64 (neg.f64 a)) b)) |
(/.f64 (fma.f64 #s(literal 2/3 binary64) b (*.f64 (neg.f64 (neg.f64 a)) (*.f64 c (/.f64 #s(literal 1/2 binary64) b)))) (*.f64 (neg.f64 (neg.f64 a)) b)) |
(/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))) (*.f64 (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 b) b))) |
(/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 b b) (*.f64 (neg.f64 (neg.f64 a)) (*.f64 #s(literal 1/2 binary64) c))) (*.f64 (neg.f64 (neg.f64 a)) (*.f64 b b))) |
(/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 (neg.f64 b) b) (*.f64 (neg.f64 (neg.f64 a)) (*.f64 #s(literal -1/2 binary64) c))) (*.f64 (neg.f64 (neg.f64 a)) (*.f64 (neg.f64 b) b))) |
(/.f64 (fma.f64 #s(literal 2/3 binary64) (neg.f64 b) (*.f64 (neg.f64 (neg.f64 a)) (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))) (*.f64 (neg.f64 (neg.f64 a)) (neg.f64 b))) |
(/.f64 (fma.f64 #s(literal 2/3 binary64) b (*.f64 a (/.f64 (*.f64 #s(literal 1/2 binary64) c) b))) (*.f64 a b)) |
(/.f64 (fma.f64 #s(literal 2/3 binary64) b (*.f64 a (*.f64 (/.f64 #s(literal 1/2 binary64) b) c))) (*.f64 a b)) |
(/.f64 (fma.f64 #s(literal 2/3 binary64) b (*.f64 a (*.f64 c (/.f64 #s(literal 1/2 binary64) b)))) (*.f64 a b)) |
(/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 (neg.f64 b) b) (*.f64 a (neg.f64 (*.f64 #s(literal 1/2 binary64) c)))) (*.f64 a (*.f64 (neg.f64 b) b))) |
(/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 (neg.f64 b) b) (*.f64 a (*.f64 #s(literal -1/2 binary64) c))) (*.f64 a (*.f64 (neg.f64 b) b))) |
(/.f64 (fma.f64 #s(literal 2/3 binary64) (neg.f64 b) (*.f64 a (*.f64 (/.f64 #s(literal -1/2 binary64) b) c))) (*.f64 a (neg.f64 b))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 2/3 binary64) a) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) #s(literal 2 binary64))) (-.f64 (/.f64 #s(literal 2/3 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2/3 binary64) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 c #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2/3 binary64) a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 #s(literal 2/3 binary64) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) c) b) (/.f64 (/.f64 #s(literal 2/3 binary64) a) b)))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 c #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2/3 binary64) a) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 #s(literal 2/3 binary64) a) (-.f64 (/.f64 #s(literal 2/3 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) (neg.f64 a) (*.f64 (*.f64 b b) #s(literal -2/3 binary64))) (*.f64 (*.f64 b b) (neg.f64 a))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) a (*.f64 (*.f64 b b) #s(literal 2/3 binary64))) (*.f64 (*.f64 b b) a)) |
(/.f64 (fma.f64 #s(literal -2/3 binary64) (*.f64 b b) (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) c))) (*.f64 (neg.f64 a) (*.f64 b b))) |
(/.f64 (fma.f64 #s(literal 2/3 binary64) (*.f64 b b) (*.f64 a (*.f64 #s(literal 1/2 binary64) c))) (*.f64 a (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 2/3 binary64) a) #s(literal 2 binary64))) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) (/.f64 #s(literal 2/3 binary64) a))) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 c #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2/3 binary64) a) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 #s(literal 2/3 binary64) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) c) b) (/.f64 (/.f64 #s(literal 2/3 binary64) a) b))))) |
(/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 c #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 2/3 binary64) a) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 2/3 binary64) a) (-.f64 (/.f64 #s(literal 2/3 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) #s(literal 2 binary64)))) |
(fma.f64 (/.f64 c (neg.f64 (neg.f64 b))) (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2/3 binary64) a)) |
(fma.f64 (/.f64 c (neg.f64 b)) (/.f64 #s(literal -1/2 binary64) b) (/.f64 #s(literal 2/3 binary64) a)) |
(fma.f64 (/.f64 c b) (/.f64 #s(literal 1/2 binary64) b) (/.f64 #s(literal 2/3 binary64) a)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 c (neg.f64 (neg.f64 b))) (/.f64 #s(literal 2/3 binary64) a)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) b) (/.f64 c b) (/.f64 #s(literal 2/3 binary64) a)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c (/.f64 #s(literal 2/3 binary64) a)) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) b) (/.f64 c (neg.f64 b)) (/.f64 #s(literal 2/3 binary64) a)) |
(fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) |
(-.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2/3 binary64) a) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 2/3 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) #s(literal 2 binary64)) (-.f64 (/.f64 #s(literal 2/3 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) (/.f64 #s(literal 2/3 binary64) a))) (/.f64 (pow.f64 (/.f64 #s(literal 2/3 binary64) a) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) (/.f64 #s(literal 2/3 binary64) a)))) |
(-.f64 (/.f64 #s(literal 2/3 binary64) a) (*.f64 (neg.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b))) c)) |
(-.f64 (/.f64 #s(literal 2/3 binary64) a) (*.f64 (neg.f64 c) (/.f64 #s(literal 1/2 binary64) (*.f64 b b)))) |
(+.f64 (/.f64 (*.f64 #s(literal -2/3 binary64) (*.f64 b b)) (*.f64 (neg.f64 a) (*.f64 b b))) (/.f64 (*.f64 (neg.f64 a) (*.f64 #s(literal 1/2 binary64) c)) (*.f64 (neg.f64 a) (*.f64 b b)))) |
(+.f64 (/.f64 (*.f64 #s(literal 2/3 binary64) (*.f64 b b)) (*.f64 a (*.f64 b b))) (/.f64 (*.f64 a (*.f64 #s(literal 1/2 binary64) c)) (*.f64 a (*.f64 b b)))) |
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2/3 binary64) a) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 2/3 binary64) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) c) b) (/.f64 (/.f64 #s(literal 2/3 binary64) a) b))))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 2/3 binary64) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) c) b) (/.f64 (/.f64 #s(literal 2/3 binary64) a) b)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 2/3 binary64) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) c) b) (/.f64 (/.f64 #s(literal 2/3 binary64) a) b))))) (/.f64 (pow.f64 (/.f64 #s(literal 2/3 binary64) a) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 #s(literal 2/3 binary64) a) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 #s(literal 1/2 binary64) c) b) (/.f64 (/.f64 #s(literal 2/3 binary64) a) b)))))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c) (neg.f64 a)) (*.f64 (*.f64 b b) (neg.f64 a))) (/.f64 (*.f64 (*.f64 b b) #s(literal -2/3 binary64)) (*.f64 (*.f64 b b) (neg.f64 a)))) |
(+.f64 (/.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) c) a) (*.f64 (*.f64 b b) a)) (/.f64 (*.f64 (*.f64 b b) #s(literal 2/3 binary64)) (*.f64 (*.f64 b b) a))) |
(+.f64 (/.f64 (pow.f64 (/.f64 #s(literal 2/3 binary64) a) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2/3 binary64) a) (-.f64 (/.f64 #s(literal 2/3 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) #s(literal 2 binary64)))) (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2/3 binary64) a) (-.f64 (/.f64 #s(literal 2/3 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2/3 binary64) a) (-.f64 (/.f64 #s(literal 2/3 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) #s(literal 2 binary64)))) (/.f64 (pow.f64 (/.f64 #s(literal 2/3 binary64) a) #s(literal 3 binary64)) (fma.f64 (/.f64 #s(literal 2/3 binary64) a) (-.f64 (/.f64 #s(literal 2/3 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c)) (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) #s(literal 2 binary64))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) #s(literal 2 binary64)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) (/.f64 #s(literal 2/3 binary64) a))) (/.f64 (*.f64 (neg.f64 (/.f64 #s(literal 2/3 binary64) a)) (/.f64 #s(literal 2/3 binary64) a)) (-.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) (/.f64 #s(literal 2/3 binary64) a)))) |
(+.f64 (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c) (/.f64 #s(literal 2/3 binary64) a)) |
(+.f64 (/.f64 #s(literal 2/3 binary64) a) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) c)) |
(/.f64 (neg.f64 (/.f64 #s(literal -1/2 binary64) b)) (neg.f64 (neg.f64 b))) |
(/.f64 (/.f64 #s(literal 1/2 binary64) b) b) |
(/.f64 #s(literal 1/2 binary64) (*.f64 b b)) |
(/.f64 (/.f64 #s(literal -1/2 binary64) b) (neg.f64 b)) |
(/.f64 #s(literal -1/2 binary64) (*.f64 (neg.f64 b) b)) |
(neg.f64 (/.f64 #s(literal -1/2 binary64) (*.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 24 108 to 2 615 computations (89.2% saved)
29 alts after pruning (19 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 555 | 5 | 560 |
| Fresh | 1 | 14 | 15 |
| Picked | 0 | 5 | 5 |
| Done | 1 | 5 | 6 |
| Total | 557 | 29 | 586 |
| Status | Accuracy | Program |
|---|---|---|
| 41.3% | (/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal 3 binary64) a) (*.f64 #s(literal 3 binary64) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) | |
| 20.1% | (/.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 b)) a)) #s(literal 3 binary64)) | |
| ✓ | 44.4% | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
| ✓ | 44.4% | (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
| 33.5% | (/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))) #s(literal 3 binary64)) a) | |
| 33.7% | (/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64)) | |
| 33.7% | (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) | |
| 20.0% | (/.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 b)) (*.f64 #s(literal 3 binary64) a))) | |
| ✓ | 44.4% | (/.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)) |
| ✓ | 32.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
| 29.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| 36.1% | (/.f64 #s(approx (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) | |
| 33.7% | (/.f64 #s(approx (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) | |
| 31.9% | (/.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)) | |
| 33.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a c))) (*.f64 #s(literal 3 binary64) a)) | |
| 31.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 c (/.f64 a b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 31.9% | (/.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)) |
| ✓ | 33.7% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
| 33.4% | #s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 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))) | |
| ✓ | 31.5% | #s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
| 33.6% | #s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(approx (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) | |
| 26.8% | #s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(approx (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64))) (neg.f64 b))) | |
| 29.6% | #s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(approx (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) c)) (neg.f64 b))) | |
| 11.6% | #s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) | |
| 33.5% | #s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) #s(approx (* (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))) | |
| 21.3% | #s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) #s(approx (* (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (neg b)) (/.f64 (fma.f64 (/.f64 (*.f64 b b) a) #s(literal -2/3 binary64) (*.f64 #s(literal -1/2 binary64) c)) b))) | |
| ✓ | 41.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| ✓ | 41.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b))) |
| ✓ | 33.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
Compiled 2 118 to 857 computations (59.5% saved)
| Inputs |
|---|
#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) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(approx (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(approx (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64))) (neg.f64 b))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) #s(approx (* (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 #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)) |
(/.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 c (/.f64 a b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a 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)) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) #s(approx (* (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (neg b)) (/.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) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 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)) |
#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))) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 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))) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(approx (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) c)) (neg.f64 b))) |
(/.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 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) a) #s(literal 3 binary64)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -3/2 binary64) #s(literal 2 binary64)) (neg.f64 b))) a) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))) #s(literal 3 binary64)) a) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -3 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 3 binary64) a)) |
(/.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 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) a) (*.f64 #s(literal -3 binary64) a) (*.f64 #s(literal 3 binary64) b)) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal -3 binary64) a))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.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 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 b)) (*.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) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) (*.f64 #s(literal 3 binary64) (*.f64 #s(literal 3 binary64) a))) |
(/.f64 (/.f64 (-.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c))) (*.f64 b b)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 b b (*.f64 a (*.f64 #s(literal -3 binary64) c)))) (neg.f64 b)) a)) #s(literal 3 binary64)) |
(+.f64 (/.f64 (*.f64 b b) (*.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 (neg.f64 (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 (-.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 (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) (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)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.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))))) (*.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)) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.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:
| 11.0ms | c |
| 11.0ms | (*.f64 #s(literal 3 binary64) a) |
| 11.0ms | b |
| 11.0ms | a |
| 10.0ms | (/.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 |
|---|---|---|
| 51.3% | 3 | (*.f64 #s(literal 3 binary64) a) |
| 73.1% | 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)) |
| 51.3% | 3 | a |
| 85.7% | 3 | b |
| 48.0% | 3 | c |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#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) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(approx (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(approx (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64))) (neg.f64 b))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) #s(approx (* (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 #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)) |
(/.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 c (/.f64 a b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a 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)) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) #s(approx (* (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (neg b)) (/.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) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 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)) |
#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))) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 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))) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(approx (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) c)) (neg.f64 b))) |
(/.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 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (neg.f64 b)) #s(literal 3 binary64)) a) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) 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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
1 calls:
| 7.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.7% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#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) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(approx (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(approx (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64))) (neg.f64 b))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) #s(approx (* (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 #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)) |
(/.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 c (/.f64 a b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a 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)) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) #s(approx (* (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (neg b)) (/.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) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 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)) |
#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))) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 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))) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(approx (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (*.f64 (+.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) (*.f64 a c))) c)) (neg.f64 b))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
1 calls:
| 7.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.9% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#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) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(approx (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(approx (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (*.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64))) (neg.f64 b))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) 3) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -1/2 binary64))) a) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) #s(approx (* (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (neg b)) (fma.f64 (/.f64 b a) #s(literal -2/3 binary64) (*.f64 #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)) |
(/.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 c (/.f64 a b)) #s(literal -3/2 binary64))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) b) (*.f64 a 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)) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) #s(approx (* (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (neg b)) (/.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) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 (fma.f64 c (/.f64 #s(literal 1/2 binary64) (*.f64 b b)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
| Outputs |
|---|
(/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #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:
| 6.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.3% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#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) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(approx (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 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:
| 17.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.3% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#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) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
(/.f64 #s(approx (/ (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (pow (pow (+ (* c (* a 3)) (* b b)) 2) 1/4)) (* 3 a)) (*.f64 #s(approx (+ (* (/ c (* b b)) 1/2) (/ 2/3 a)) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) |
| Outputs |
|---|
#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 (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
1 calls:
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.3% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#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))) |
| 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:
| 1.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.3% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#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:
| 1.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.1% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#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))) |
5 calls:
| 1.0ms | a |
| 1.0ms | (*.f64 #s(literal 3 binary64) 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 |
|---|---|---|
| 33.7% | 1 | c |
| 33.7% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 33.7% | 1 | a |
| 33.7% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 33.7% | 1 | b |
Compiled 23 to 26 computations (-13% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 8.104911645048052e-137 | 7.877575813166302e-124 |
| 12.0ms | -5.97886461296942e+147 | -3.5545545396414274e+146 |
| 15.0ms | 232× | 0 | valid |
| 3.0ms | 25× | 1 | valid |
| 3.0ms | 15× | 2 | valid |
| 2.0ms | 34× | 0 | invalid |
Compiled 669 to 552 computations (17.5% saved)
ival-mult: 5.0ms (31.5% of total)ival-div: 2.0ms (12.6% of total)ival-sub: 2.0ms (12.6% of total)ival-sqrt: 2.0ms (12.6% of total)ival-add: 2.0ms (12.6% of total)adjust: 1.0ms (6.3% of total)ival-neg: 1.0ms (6.3% 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 |
|---|---|---|
| 1.0ms | 8.104911645048052e-137 | 7.877575813166302e-124 |
| 14.0ms | -4.065456490914258e+90 | -7.074403650184213e+86 |
| 9.0ms | 128× | 0 | valid |
| 0.0ms | 4× | 0 | invalid |
Compiled 706 to 584 computations (17.3% saved)
ival-mult: 2.0ms (34.3% of total)ival-div: 1.0ms (17.2% of total)ival-add: 1.0ms (17.2% of total)ival-sub: 1.0ms (17.2% of total)ival-sqrt: 1.0ms (17.2% of total)ival-neg: 1.0ms (17.2% 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 |
|---|---|---|
| 1.0ms | 8.104911645048052e-137 | 7.877575813166302e-124 |
| 16.0ms | -5.701435298743989e-56 | -1.7217001489970808e-59 |
| 8.0ms | 128× | 0 | valid |
| 2.0ms | 31× | 0 | invalid |
Compiled 832 to 674 computations (19% saved)
ival-mult: 3.0ms (43.9% of total)ival-div: 1.0ms (14.6% of total)ival-add: 1.0ms (14.6% of total)ival-sub: 1.0ms (14.6% of total)ival-sqrt: 1.0ms (14.6% of total)ival-neg: 1.0ms (14.6% 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 |
|---|---|---|
| 22.0ms | 1.0248042692314811e-240 | 4.291707166026713e-235 |
| 11.0ms | 140× | 0 | valid |
| 4.0ms | 53× | 0 | invalid |
| 1.0ms | 4× | 1 | valid |
Compiled 416 to 333 computations (20% saved)
ival-mult: 3.0ms (28.5% of total)ival-neg: 3.0ms (28.5% of total)ival-div: 1.0ms (9.5% of total)ival-add: 1.0ms (9.5% of total)ival-sub: 1.0ms (9.5% of total)ival-sqrt: 1.0ms (9.5% 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 | 1.0248042692314811e-240 | 4.291707166026713e-235 |
Compiled 416 to 333 computations (20% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.0248042692314811e-240 | 4.291707166026713e-235 |
Compiled 434 to 324 computations (25.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.0248042692314811e-240 | 4.291707166026713e-235 |
Compiled 434 to 324 computations (25.3% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.0248042692314811e-240 | 4.291707166026713e-235 |
Compiled 434 to 324 computations (25.3% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 84 | 479 |
| 1 | 120 | 479 |
| 2 | 196 | 479 |
| 3 | 325 | 479 |
| 4 | 494 | 479 |
| 5 | 596 | 479 |
| 6 | 627 | 479 |
| 7 | 663 | 479 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b #s(literal -379999999999999979217065084488660295347337533036749419298218135404662040143312325968728439811636204089426602651358779561845979169469833836434030592 binary64)) (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 4525239750366505/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.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 -3999999999999999865936450861855600199300744370480502011918698389236719021749516922746044416 binary64)) (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 4525239750366505/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 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 -2487720667207965/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64)) (if (<=.f64 b #s(literal 4525239750366505/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal 975977187744611/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328 binary64)) (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #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 975977187744611/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328 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 975977187744611/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328 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 (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal 975977187744611/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328 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 975977187744611/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328 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)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -379999999999999979217065084488660295347337533036749419298218135404662040143312325968728439811636204089426602651358779561845979169469833836434030592 binary64)) (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 4525239750366505/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.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 -379999999999999979217065084488660295347337533036749419298218135404662040143312325968728439811636204089426602651358779561845979169469833836434030592 binary64)) (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 4525239750366505/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.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 -3999999999999999865936450861855600199300744370480502011918698389236719021749516922746044416 binary64)) (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 4525239750366505/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 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 -2487720667207965/113078212145816597093331040047546785012958969400039613319782796882727665664 binary64)) (/.f64 (/.f64 #s(approx (+ (sqrt (+ (* (* c -3) a) (* b b))) (neg b)) (*.f64 #s(literal -2 binary64) b)) a) #s(literal 3 binary64)) (if (<=.f64 b #s(literal 4525239750366505/5954262829429611647380060634218533145425030026750509549825967711687797048224955787888157087447151129073766576998532529631515456541611261952 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 a) c) (* b b)) (*.f64 (*.f64 #s(literal -3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal 975977187744611/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328 binary64)) (/.f64 (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) #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 975977187744611/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328 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 975977187744611/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328 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 (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal 975977187744611/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328 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 975977187744611/938439603600587528746394711938657107663969949193687942084737423845328945327403963493426274822541422606069252398088182827397836333287780407720182613329988145004965865323862822167078543736143176539997470989737828269291292380585577139908076735904949708259328 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)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
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 |
| 0 | 560 | 3023 |
| 1 | 1942 | 3000 |
| 0 | 8064 | 2850 |
| 0 | 840 | 5041 |
| 1 | 3020 | 4998 |
| 0 | 9048 | 4755 |
| 0 | 61 | 306 |
| 0 | 94 | 299 |
| 1 | 352 | 297 |
| 2 | 2432 | 297 |
| 0 | 8337 | 296 |
| 0 | 975 | 6208 |
| 1 | 3516 | 6162 |
| 0 | 8285 | 5862 |
| 0 | 46 | 276 |
| 0 | 76 | 270 |
| 1 | 258 | 262 |
| 2 | 1712 | 262 |
| 0 | 8892 | 262 |
| 0 | 52 | 249 |
| 0 | 78 | 247 |
| 1 | 264 | 241 |
| 2 | 1790 | 241 |
| 0 | 8450 | 240 |
| 1× | fuel |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 891 to 371 computations (58.4% saved)
Compiled 992 to 196 computations (80.2% saved)
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