
Time bar (total: 7.0s)
| 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 |
| 42.6% | 40.6% | 54.6% | 0.1% | 0% | 4.7% | 0% | 7 |
| 51.2% | 48.4% | 46% | 0.1% | 0% | 5.5% | 0% | 8 |
| 54.5% | 49.9% | 41.7% | 0.1% | 0% | 8.2% | 0% | 9 |
| 60.2% | 53.4% | 35.3% | 0.1% | 0% | 11.1% | 0% | 10 |
| 67.6% | 58.7% | 28.2% | 0.1% | 0% | 13% | 0% | 11 |
| 71.4% | 60.6% | 24.2% | 0.1% | 0% | 15.1% | 0% | 12 |
Compiled 15 to 12 computations (20% saved)
| 490.0ms | 5 548× | 0 | valid |
| 253.0ms | 1 233× | 2 | valid |
| 164.0ms | 1 307× | 1 | valid |
| 85.0ms | 1 099× | 0 | invalid |
| 39.0ms | 168× | 3 | valid |
ival-mult: 136.0ms (20.9% of total)ival-sqrt: 124.0ms (19.1% of total)ival-add: 95.0ms (14.6% of total)ival-div: 93.0ms (14.3% of total)ival-sub: 75.0ms (11.5% of total)adjust: 66.0ms (10.2% of total)ival-neg: 51.0ms (7.8% of total)ival-true: 6.0ms (0.9% of total)ival-assert: 4.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 107 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
| 47 | 1 | (-1.0708068834092888e+225 1.3770629745452142e+82 5.344783932380305e-65) | 0 | - | (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) |
| 14 | 0 | - | 0 | - | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 2 | 0 | - | 0 | - | (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
| 0 | 0 | - | 0 | - | (*.f64 b_2 b_2) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (neg.f64 b_2) |
| 0 | 0 | - | 0 | - | b_2 |
| 0 | 0 | - | 0 | - | (*.f64 a c) |
| 0 | 0 | - | 0 | - | c |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) | oflow-rescue | 97 | 0 |
| ↳ | (*.f64 b_2 b_2) | overflow | 81 | |
| ↳ | (*.f64 a c) | overflow | 24 | |
| ↳ | (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) | overflow | 97 | |
+.f64 | (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) | cancellation | 48 | 0 |
/.f64 | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) | u/n | 14 | 0 |
| ↳ | (*.f64 b_2 b_2) | underflow | 41 | |
| ↳ | (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) | underflow | 25 | |
| ↳ | (*.f64 a c) | underflow | 38 | |
| ↳ | (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) | underflow | 10 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) | uflow-rescue | 10 | 0 |
| ↳ | (*.f64 b_2 b_2) | underflow | 41 | |
| ↳ | (*.f64 a c) | underflow | 38 | |
| ↳ | (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) | underflow | 10 | |
-.f64 | (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) | nan-rescue | 2 | 0 |
| ↳ | (*.f64 b_2 b_2) | overflow | 81 | |
| ↳ | (*.f64 a c) | overflow | 24 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 120 | 0 |
| - | 24 | 112 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 120 | 0 | 0 |
| - | 24 | 0 | 112 |
| number | freq |
|---|---|
| 0 | 112 |
| 1 | 119 |
| 2 | 23 |
| 3 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 76.0ms | 372× | 0 | valid |
| 14.0ms | 72× | 2 | valid |
| 7.0ms | 54× | 1 | valid |
| 4.0ms | 14× | 3 | valid |
Compiled 167 to 44 computations (73.7% saved)
ival-div: 54.0ms (67.2% of total)ival-mult: 7.0ms (8.7% of total)ival-sqrt: 5.0ms (6.2% of total)ival-sub: 4.0ms (5% of total)adjust: 4.0ms (5% of total)ival-add: 3.0ms (3.7% of total)ival-neg: 2.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 118 |
| 1 | 114 | 111 |
| 2 | 245 | 109 |
| 3 | 685 | 109 |
| 4 | 1777 | 109 |
| 5 | 3264 | 109 |
| 6 | 3950 | 109 |
| 7 | 4043 | 109 |
| 8 | 4135 | 109 |
| 9 | 4167 | 109 |
| 10 | 4167 | 109 |
| 0 | 10 | 13 |
| 0 | 17 | 13 |
| 1 | 28 | 12 |
| 2 | 45 | 12 |
| 3 | 74 | 12 |
| 4 | 113 | 12 |
| 5 | 189 | 12 |
| 6 | 322 | 12 |
| 7 | 475 | 12 |
| 8 | 828 | 12 |
| 9 | 942 | 12 |
| 10 | 974 | 12 |
| 11 | 985 | 12 |
| 12 | 986 | 12 |
| 0 | 986 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) b_2) a) |
Compiled 13 to 10 computations (23.1% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 55.8% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
Compiled 13 to 10 computations (23.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) | |
| cost-diff | 0 | (neg.f64 b_2) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) | |
| cost-diff | 128 | (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 50 |
| 0 | 17 | 50 |
| 1 | 28 | 48 |
| 2 | 45 | 48 |
| 3 | 74 | 48 |
| 4 | 113 | 48 |
| 5 | 189 | 48 |
| 6 | 322 | 48 |
| 7 | 475 | 48 |
| 8 | 828 | 48 |
| 9 | 942 | 48 |
| 10 | 974 | 48 |
| 11 | 985 | 48 |
| 12 | 986 | 48 |
| 0 | 986 | 48 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) |
(neg.f64 b_2) |
b_2 |
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(*.f64 b_2 b_2) |
(*.f64 a c) |
a |
c |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) b_2) a) |
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) |
(-.f64 (sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) b_2) |
(neg.f64 b_2) |
b_2 |
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
(sqrt.f64 (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2))) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) |
(*.f64 b_2 b_2) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.41406250000000006 | (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) | |
| accuracy | 3.3774062966673464 | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) | |
| accuracy | 10.581544855333437 | (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) | |
| accuracy | 25.014959740258313 | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
| 13.0ms | 186× | 0 | valid |
| 7.0ms | 36× | 2 | valid |
| 4.0ms | 27× | 1 | valid |
| 2.0ms | 7× | 3 | valid |
Compiled 102 to 22 computations (78.4% saved)
ival-mult: 4.0ms (26.2% of total)ival-sqrt: 3.0ms (19.7% of total)ival-sub: 2.0ms (13.1% of total)adjust: 2.0ms (13.1% of total)ival-div: 2.0ms (13.1% of total)ival-add: 2.0ms (13.1% of total)ival-neg: 1.0ms (6.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(neg.f64 b_2) |
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
| Outputs |
|---|
(* -1/2 (/ (* a c) b_2)) |
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))) |
(* -1/2 (/ c b_2)) |
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))) |
b_2 |
(+ b_2 (* -1/2 (/ (* a c) b_2))) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) |
(pow b_2 2) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a c)) |
(* a (- (/ (pow b_2 2) a) c)) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c)))) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 b_2) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5))))))))) |
(- (pow b_2 2) (* a c)) |
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2) |
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2) |
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2) |
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2) |
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(* -2 b_2) |
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))) |
(* -2 (/ b_2 a)) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a))))))) |
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))) |
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5))))))))) |
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2)))) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c))) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* c (- (/ (pow b_2 2) c) a)) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 110.0ms | b_2 | @ | -inf | ((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c))) |
| 2.0ms | a | @ | -inf | ((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c))) |
| 2.0ms | b_2 | @ | inf | ((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c))) |
| 2.0ms | a | @ | inf | ((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c))) |
| 2.0ms | c | @ | 0 | ((+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (sqrt (- (* b_2 b_2) (* a c))) (- (* b_2 b_2) (* a c))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 508 | 2832 |
| 1 | 1606 | 2798 |
| 2 | 5550 | 2747 |
| 0 | 8048 | 2611 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (/ (* a c) b_2)) |
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))) |
(* -1/2 (/ c b_2)) |
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))) |
b_2 |
(+ b_2 (* -1/2 (/ (* a c) b_2))) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) |
(pow b_2 2) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a c)) |
(* a (- (/ (pow b_2 2) a) c)) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c)))) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 b_2) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5))))))))) |
(- (pow b_2 2) (* a c)) |
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2) |
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2) |
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2) |
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2) |
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(* -2 b_2) |
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))) |
(* -2 (/ b_2 a)) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a))))))) |
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))) |
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5))))))))) |
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2)))) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c))) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* c (- (/ (pow b_2 2) c) a)) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a)))) |
| Outputs |
|---|
(* -1/2 (/ (* a c) b_2)) |
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) |
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) b_2)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a) |
(* -1/2 (/ c b_2)) |
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) b_2)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
b_2 |
(+ b_2 (* -1/2 (/ (* a c) b_2))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 c b_2) b_2) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a b_2) |
(pow b_2 2) |
(*.f64 b_2 b_2) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 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 -1 binary64)) (/.f64 (neg.f64 b_2) a))) a) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 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 -1 binary64)) (/.f64 (neg.f64 b_2) a)))) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) a)) |
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 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 -1 binary64)) (/.f64 (neg.f64 b_2) a))) |
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 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 -1 binary64)) (/.f64 (neg.f64 b_2) a)))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 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 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 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 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 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 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))) a) |
(* -1 (* a c)) |
(*.f64 (neg.f64 a) c) |
(* a (- (/ (pow b_2 2) a) c)) |
(*.f64 (-.f64 (*.f64 b_2 (/.f64 b_2 a)) c) a) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 a))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)) (neg.f64 b_2)) a))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b_2 b_2)) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b_2 #s(literal 4 binary64)))))) a) b_2) a))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) b_2) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 b_2 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 #s(literal -1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b_2 b_2))))) a)) a))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(*.f64 (neg.f64 a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) #s(literal 1/2 binary64)) (*.f64 b_2 b_2) (sqrt.f64 (/.f64 c a))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) #s(literal 1/2 binary64)) (*.f64 b_2 b_2) (sqrt.f64 (/.f64 c a)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) #s(literal 1/16 binary64)) (pow.f64 b_2 #s(literal 6 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) #s(literal 1/2 binary64)) (*.f64 b_2 b_2) (sqrt.f64 (/.f64 c a)))))) |
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c)))) |
(*.f64 (-.f64 (*.f64 b_2 (/.f64 b_2 a)) c) a) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b_2)) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) #s(literal -1 binary64)) b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) b_2 #s(literal -1 binary64)) b_2 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 #s(literal -1 binary64) a)) b_2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 5 binary64))))) #s(literal -1/8 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64))) b_2 (/.f64 #s(literal -1 binary64) a)) b_2 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 b_2) |
(neg.f64 b_2) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) |
(fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 c a)))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))))) |
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(* -2 (/ b_2 a)) |
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(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (neg.f64 (sqrt.f64 #s(literal -1 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 1/16 binary64) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))))) c) |
(* c (- (/ (pow b_2 2) c) a)) |
(*.f64 (-.f64 (*.f64 b_2 (/.f64 b_2 c)) a) c) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)) (neg.f64 b_2)) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b_2 b_2)) (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))))))) c) b_2) c)) (neg.f64 c)) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (/.f64 b_2 c) a)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)) (/.f64 (neg.f64 b_2) a)) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b_2 b_2)) (*.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b_2 #s(literal 4 binary64)))))) c) (/.f64 b_2 a)) c)) (neg.f64 c)) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) #s(literal 1/2 binary64)) (*.f64 b_2 b_2) (sqrt.f64 (/.f64 a c)))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) #s(literal 1/2 binary64)) (*.f64 b_2 b_2) (sqrt.f64 (/.f64 a c))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) #s(literal 1/16 binary64)) (pow.f64 b_2 #s(literal 6 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) #s(literal -1/8 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) #s(literal 1/2 binary64)) (*.f64 b_2 b_2) (sqrt.f64 (/.f64 a c))))) (neg.f64 c)) |
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a)))) |
(*.f64 (-.f64 (*.f64 b_2 (/.f64 b_2 c)) a) c) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 41 |
| 0 | 17 | 41 |
| 1 | 64 | 39 |
| 2 | 463 | 38 |
| 3 | 5920 | 38 |
| 0 | 8644 | 34 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(neg.f64 b_2) |
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (fma.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2 (fma.f64 c a (*.f64 b_2 b_2))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) (pow.f64 b_2 #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) |
(*.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) |
(*.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) |
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) |
(*.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (neg.f64 (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal 1 binary64)) |
(/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64))) |
(/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64))) |
(/.f64 (*.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64))) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3 binary64))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64))) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (pow.f64 b_2 #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3 binary64))) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64))) (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 9/2 binary64)) (pow.f64 b_2 #s(literal 9 binary64))) (pow.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) #s(literal 2 binary64)) (pow.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) #s(literal 2 binary64))) (fma.f64 b_2 (/.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 #s(literal 0 binary64) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) #s(literal 3 binary64)) (pow.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) #s(literal 2 binary64)) (*.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)))))) |
(/.f64 (*.f64 (pow.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal 3 binary64))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (pow.f64 b_2 #s(literal 4 binary64))) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 9/2 binary64)) (pow.f64 b_2 #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))))) |
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(fma.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) b_2) |
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(fma.f64 (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/2 binary64)) b_2) |
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(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a) #s(literal 1 binary64)) |
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(*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (/.f64 #s(literal -1 binary64) a)) |
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(pow.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) a)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) a)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a) #s(literal 1 binary64)) |
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(/.f64 (pow.f64 (/.f64 a (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1 binary64)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal -1 binary64)) a) |
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(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) a)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) a)) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) a)) (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2)))) |
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(/.f64 (*.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (neg.f64 a))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 b_2 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 a))) |
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(fma.f64 b_2 (pow.f64 a #s(literal -1 binary64)) (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) (pow.f64 a #s(literal -1 binary64)))) |
(-.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a))) |
(-.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) a) (/.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) a)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a)) |
(-.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) (neg.f64 a)) (/.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) (neg.f64 a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 a)) (/.f64 b_2 (neg.f64 a))) |
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)) |
(+.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) (pow.f64 a #s(literal -1 binary64))) (*.f64 b_2 (pow.f64 a #s(literal -1 binary64)))) |
(+.f64 (*.f64 b_2 (pow.f64 a #s(literal -1 binary64))) (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) (pow.f64 a #s(literal -1 binary64)))) |
(+.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (*.f64 (pow.f64 a #s(literal -1 binary64)) b_2)) |
(+.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) b_2) (*.f64 (pow.f64 a #s(literal -1 binary64)) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) (pow.f64 b_2 #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1 binary64) b_2) |
(*.f64 #s(literal 1 binary64) b_2) |
(*.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (*.f64 b_2 b_2) #s(literal -1 binary64))) |
(*.f64 (*.f64 b_2 b_2) (pow.f64 b_2 #s(literal -1 binary64))) |
(*.f64 b_2 #s(literal -1 binary64)) |
(*.f64 b_2 #s(literal 1 binary64)) |
(pow.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 b_2 (*.f64 b_2 b_2)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 b_2 b_2) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1 binary64)) |
(pow.f64 b_2 #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 b_2 b_2))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 b_2) (pow.f64 b_2 #s(literal 3 binary64)))) |
(/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) #s(literal 0 binary64)))) |
(/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (*.f64 b_2 b_2)) |
(/.f64 (*.f64 b_2 b_2) b_2) |
(neg.f64 b_2) |
(fma.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) (pow.f64 b_2 #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) b_2 #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) b_2 #s(literal 0 binary64)) |
(fma.f64 (pow.f64 b_2 #s(literal 3 binary64)) (pow.f64 (*.f64 b_2 b_2) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b_2 b_2) (pow.f64 b_2 #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 b_2 #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 b_2 #s(literal 1 binary64) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) b_2) b_2) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b_2 b_2)) b_2) |
(-.f64 #s(literal 0 binary64) b_2) |
(+.f64 #s(literal 0 binary64) b_2) |
(+.f64 b_2 #s(literal 0 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 b_2) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 b_2) #s(literal 1 binary64))) |
b_2 |
(*.f64 (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) |
(*.f64 (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 c a)) #s(literal -1 binary64))) |
(*.f64 (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) |
(*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (pow.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 c a)) (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 4 binary64))) #s(literal 1/8 binary64)) |
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) #s(literal 0 binary64)) (+.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 0 binary64))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (neg.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 c a)))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 c a))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (neg.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 c a)))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 c a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) (fma.f64 c a (*.f64 b_2 b_2)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 c a)) (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1/2 binary64))) |
(/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) |
(neg.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) |
(fma.f64 (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 (hypot.f64 (*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (*.f64 c a)) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (pow.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1/2 binary64)) #s(literal 0 binary64)) |
(sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) |
(fabs.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) |
(+.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) |
(+.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 0 binary64)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 2 binary64))) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a)) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 12 binary64)))) (fma.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a)) (-.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a)) (pow.f64 b_2 #s(literal 4 binary64))) (pow.f64 b_2 #s(literal 8 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) (fma.f64 c a (*.f64 b_2 b_2))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (pow.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) |
(*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) |
(*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (fma.f64 c a (*.f64 b_2 b_2))) |
(*.f64 #s(literal 1 binary64) (fma.f64 c a (*.f64 b_2 b_2))) |
(*.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))) |
(*.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (pow.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (neg.f64 (pow.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) (pow.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) |
(*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (fma.f64 c a (*.f64 b_2 b_2)))) |
(*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1 binary64)) |
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(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) |
(fma.f64 a c (*.f64 b_2 b_2)) |
(fma.f64 (*.f64 b_2 b_2) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) |
(fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))) |
(fma.f64 (*.f64 b_2 b_2) #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 c)) a)) |
(fma.f64 (*.f64 b_2 b_2) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 c a))) |
(fma.f64 (*.f64 b_2 b_2) #s(literal -1 binary64) (*.f64 (neg.f64 c) (neg.f64 a))) |
(fma.f64 (*.f64 b_2 b_2) #s(literal -1 binary64) (*.f64 (neg.f64 a) (neg.f64 c))) |
(fma.f64 (*.f64 b_2 b_2) #s(literal -1 binary64) (neg.f64 (*.f64 (neg.f64 a) c))) |
(fma.f64 (*.f64 b_2 b_2) #s(literal -1 binary64) (*.f64 (neg.f64 a) c)) |
(fma.f64 (*.f64 b_2 b_2) #s(literal -1 binary64) (*.f64 c a)) |
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 c)) a)) |
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 c a))) |
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (*.f64 (neg.f64 c) (neg.f64 a))) |
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (*.f64 (neg.f64 a) (neg.f64 c))) |
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (neg.f64 (*.f64 (neg.f64 a) c))) |
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (*.f64 (neg.f64 a) c)) |
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (*.f64 c a)) |
(fma.f64 b_2 (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))) |
(fma.f64 b_2 b_2 (*.f64 (neg.f64 (neg.f64 c)) a)) |
(fma.f64 b_2 b_2 (*.f64 #s(literal 1 binary64) (*.f64 c a))) |
(fma.f64 b_2 b_2 (*.f64 (neg.f64 c) (neg.f64 a))) |
(fma.f64 b_2 b_2 (*.f64 (neg.f64 a) (neg.f64 c))) |
(fma.f64 b_2 b_2 (neg.f64 (*.f64 (neg.f64 a) c))) |
(fma.f64 b_2 b_2 (*.f64 (neg.f64 a) c)) |
(fma.f64 b_2 b_2 (*.f64 c a)) |
(sqrt.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2)))) |
(-.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))))) |
(-.f64 #s(literal 0 binary64) (fma.f64 c a (*.f64 b_2 b_2))) |
(-.f64 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 c a) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(fabs.f64 (fma.f64 c a (*.f64 b_2 b_2))) |
(hypot.f64 (pow.f64 (*.f64 c a) #s(literal 1 binary64)) (*.f64 b_2 b_2)) |
(hypot.f64 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2)) |
(hypot.f64 (*.f64 c a) (*.f64 b_2 b_2)) |
(hypot.f64 (*.f64 b_2 b_2) (pow.f64 (*.f64 c a) #s(literal 1 binary64))) |
(hypot.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c)) |
(hypot.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(+.f64 (-.f64 (*.f64 b_2 b_2) #s(literal 0 binary64)) (*.f64 c a)) |
(+.f64 (neg.f64 (*.f64 (neg.f64 a) c)) (*.f64 b_2 b_2)) |
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))))) |
(+.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))) (neg.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64)))))) |
(+.f64 (*.f64 (neg.f64 a) c) (*.f64 b_2 b_2)) |
(+.f64 (*.f64 c a) (*.f64 b_2 b_2)) |
(+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 (neg.f64 c)) a)) |
(+.f64 (*.f64 b_2 b_2) (*.f64 #s(literal 1 binary64) (*.f64 c a))) |
(+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 c) (neg.f64 a))) |
(+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) (neg.f64 c))) |
(+.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 (neg.f64 a) c))) |
(+.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 a) c)) |
(+.f64 (*.f64 b_2 b_2) (*.f64 c a)) |
(exp.f64 (*.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2)))) |
Compiled 15 289 to 2 194 computations (85.6% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 533 | 10 | 543 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 533 | 11 | 544 |
| Status | Accuracy | Program |
|---|---|---|
| 12.6% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 4 binary64))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3 binary64))))) a) | |
| ✓ | 55.8% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 17.2% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))))) a) | |
| ▶ | 15.8% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) a) |
| 31.6% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a) | |
| 32.0% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a) | |
| ▶ | 22.4% | (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) |
| ▶ | 40.9% | (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
| 27.6% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 c c) a) b_2) (*.f64 #s(literal -1/2 binary64) c)) b_2)) | |
| ▶ | 30.0% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
| ▶ | 40.8% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) |
Compiled 469 to 330 computations (29.6% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) a) | |
| cost-diff | 128 | (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) | |
| cost-diff | 5888 | (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))) | |
| cost-diff | 8064 | (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))) | |
| cost-diff | 0 | (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (neg.f64 b_2) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) | |
| cost-diff | 832 | (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))) | |
| cost-diff | 0 | (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) | |
| cost-diff | 0 | #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) | |
| cost-diff | 0 | (/.f64 c b_2) | |
| cost-diff | 0 | (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) b_2) | |
| cost-diff | 0 | #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 319 |
| 0 | 64 | 319 |
| 1 | 108 | 306 |
| 2 | 228 | 266 |
| 3 | 631 | 266 |
| 4 | 1679 | 262 |
| 5 | 5221 | 262 |
| 0 | 8358 | 260 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) |
(*.f64 #s(literal -2 binary64) b_2) |
#s(literal -2 binary64) |
b_2 |
a |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) |
(/.f64 c b_2) |
c |
b_2 |
#s(literal -1/2 binary64) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) |
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) |
(/.f64 a b_2) |
a |
b_2 |
#s(literal -1/2 binary64) |
c |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) |
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))) |
(neg.f64 b_2) |
b_2 |
(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 c b_2) b_2) |
(/.f64 c b_2) |
c |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) a) |
(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) |
(neg.f64 b_2) |
b_2 |
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))) |
(*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))) |
(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) |
(fma.f64 c a (*.f64 b_2 b_2)) |
c |
a |
(*.f64 b_2 b_2) |
#s(literal 2 binary64) |
(neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))) |
(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) |
(*.f64 #s(literal -2 binary64) b_2) |
#s(literal -2 binary64) |
b_2 |
a |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) |
(/.f64 c b_2) |
c |
b_2 |
#s(literal -1/2 binary64) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) |
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) |
(/.f64 a b_2) |
a |
b_2 |
#s(literal -1/2 binary64) |
c |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) |
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))) |
(fma.f64 (/.f64 #s(literal -2 binary64) a) b_2 (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) |
(neg.f64 b_2) |
b_2 |
(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 c b_2) b_2) |
(/.f64 c b_2) |
c |
#s(literal -1/2 binary64) |
(/.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) a) |
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) a) |
(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) |
(-.f64 (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) b_2) |
(neg.f64 b_2) |
b_2 |
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))) |
(sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 b_2 b_2)))) |
(*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))) |
(neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) |
(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) |
(fma.f64 c a (*.f64 b_2 b_2)) |
c |
a |
(*.f64 b_2 b_2) |
#s(literal 2 binary64) |
(neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) (fma.f64 c a (*.f64 b_2 b_2))) |
(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09375 | (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) | |
| accuracy | 0.7499917428166807 | (fma.f64 c a (*.f64 b_2 b_2)) | |
| accuracy | 5.213540004927196 | (sqrt.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))) | |
| accuracy | 9.438514496604645 | (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))) | |
| accuracy | 0.0 | (neg.f64 b_2) | |
| accuracy | 0.04296875 | (/.f64 (/.f64 c b_2) b_2) | |
| accuracy | 5.473983756341825 | (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))) | |
| accuracy | 19.747507789704628 | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) | |
| accuracy | 0.0 | (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) | |
| accuracy | 0.0859375 | (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) | |
| accuracy | 1.9336189974683489 | (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) | |
| accuracy | 19.797083843816484 | #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) | |
| accuracy | 0.0 | (/.f64 c b_2) | |
| accuracy | 0.0 | (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) | |
| accuracy | 19.845982430200145 | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) | |
| accuracy | 0.0 | (*.f64 #s(literal -2 binary64) b_2) | |
| accuracy | 0.0859375 | (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) | |
| accuracy | 19.775112223338393 | #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) |
| 47.0ms | 174× | 0 | invalid |
| 20.0ms | 82× | 0 | valid |
Compiled 610 to 76 computations (87.5% saved)
ival-mult: 14.0ms (34.6% of total)ival-div: 9.0ms (22.3% of total)ival-add: 4.0ms (9.9% of total)ival-sqrt: 3.0ms (7.4% of total)ival-pow: 3.0ms (7.4% of total)ival-neg: 2.0ms (4.9% of total)ival-pow2: 2.0ms (4.9% of total)ival-sub: 1.0ms (2.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) |
(*.f64 #s(literal -2 binary64) b_2) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) |
(/.f64 c b_2) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) |
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) |
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) |
(neg.f64 b_2) |
(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) |
(*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))) |
(neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))) |
(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) a) |
(/.f64 (/.f64 c b_2) b_2) |
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))) |
(fma.f64 c a (*.f64 b_2 b_2)) |
(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) |
| Outputs |
|---|
(* -1/2 (/ c b_2)) |
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))) |
(* -1/2 (/ (* a c) b_2)) |
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))) |
(* -1/2 (/ a b_2)) |
(* -2 (/ b_2 a)) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) |
(/ 2 a) |
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a) |
(* -1 (pow b_2 2)) |
(+ (* -1 (* a c)) (* -1 (pow b_2 2))) |
(/ -1 (pow b_2 2)) |
(- (/ (* a c) (pow b_2 4)) (/ 1 (pow b_2 2))) |
(- (* a (+ (* -1 (/ (* a (pow c 2)) (pow b_2 6))) (/ c (pow b_2 4)))) (/ 1 (pow b_2 2))) |
(- (* a (+ (* a (+ (* -1 (/ (pow c 2) (pow b_2 6))) (/ (* a (pow c 3)) (pow b_2 8)))) (/ c (pow b_2 4)))) (/ 1 (pow b_2 2))) |
(- (* b_2 (sqrt -1)) b_2) |
(- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2) |
(- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2) |
(- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2) |
(/ (- (* b_2 (sqrt -1)) b_2) a) |
(/ (- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2) a) |
(/ (- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2) a) |
(/ (- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2) a) |
(* b_2 (sqrt -1)) |
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) |
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) |
(+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) |
(pow b_2 2) |
(+ (* a c) (pow b_2 2)) |
(pow b_2 4) |
(+ (* 2 (* a (* (pow b_2 2) c))) (pow b_2 4)) |
(+ (* a (+ (* 2 (* (pow b_2 2) c)) (* a (pow c 2)))) (pow b_2 4)) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a))) |
(* 1/2 (/ c b_2)) |
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))) |
(* -1/2 (/ c (pow b_2 2))) |
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))) |
(* -1 (* a c)) |
(* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))) |
(/ -1 (* a c)) |
(/ (- (/ (pow b_2 2) (* a (pow c 2))) (/ 1 c)) a) |
(/ (- (+ (* -1 (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (/ (pow b_2 2) (* a (pow c 2)))) (/ 1 c)) a) |
(/ (- (+ (* -1 (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (+ (/ (pow b_2 2) (* a (pow c 2))) (/ (pow b_2 6) (* (pow a 3) (pow c 4))))) (/ 1 c)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a))) |
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* a c) |
(* a (+ c (/ (pow b_2 2) a))) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (+ (* 2 (/ (* (pow b_2 2) c) a)) (pow c 2))) |
(* (pow a 2) (+ (* 2 (/ (* (pow b_2 2) c) a)) (+ (/ (pow b_2 4) (pow a 2)) (pow c 2)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ c (/ (pow b_2 2) a)))) |
(* -1 (/ (+ (* -1 (/ (pow b_2 2) (* a (pow c 2)))) (/ 1 c)) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) (* a (pow c 3)))) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 6) (* a (pow c 4)))) (/ (pow b_2 4) (pow c 3))) a)) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a)) |
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))) |
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) |
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1))))) a))) a))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -2 (* (pow b_2 2) c)) (* -1 (/ (pow b_2 4) a))) a)) (pow c 2))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(* -2 b_2) |
(/ c b_2) |
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2) |
(* -1 b_2) |
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2)) |
(- (/ (pow b_2 2) (* (pow a 2) (pow c 2))) (/ 1 (* a c))) |
(- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 3) (pow c 3)))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c))) |
(- (* (pow b_2 2) (+ (* (pow b_2 2) (- (/ (pow b_2 2) (* (pow a 4) (pow c 4))) (/ 1 (* (pow a 3) (pow c 3))))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(/ c (pow b_2 2)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1))))))))) |
(+ (* 2 (* a (* (pow b_2 2) c))) (* (pow a 2) (pow c 2))) |
(+ (* (pow a 2) (pow c 2)) (* (pow b_2 2) (+ (* 2 (* a c)) (pow b_2 2)))) |
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2) |
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2) |
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2) |
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2) |
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))) |
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1)) |
(/ (- (/ (* a c) (pow b_2 2)) 1) (pow b_2 2)) |
(/ (- (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) 1) (pow b_2 2)) |
(/ (- (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (/ (* a c) (pow b_2 2)) (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) 1) (pow b_2 2)) |
(* b_2 (- (sqrt -1) 1)) |
(* b_2 (- (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))) 1)) |
(* b_2 (- (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))) 1)) |
(* b_2 (- (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))) 1)) |
(/ (* b_2 (- (sqrt -1) 1)) a) |
(* b_2 (- (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)) (/ 1 a))) |
(* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a))) (/ 1 a))) |
(* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)))) (/ 1 a))) |
(* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))) |
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))) |
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))) |
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2)))) |
(* (pow b_2 4) (+ 1 (* 2 (/ (* a c) (pow b_2 2))))) |
(* (pow b_2 4) (+ 1 (+ (* 2 (/ (* a c) (pow b_2 2))) (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a))))))) |
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))) |
(* -1 (* b_2 (+ 1 (sqrt -1)))) |
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))) |
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))) |
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))) |
(* -1 (/ (* b_2 (+ 1 (sqrt -1))) a)) |
(* -1 (* b_2 (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a))))) |
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))) |
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a))))))) |
(* -1 (* b_2 (sqrt -1))) |
(* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))) |
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))) |
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))) |
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2)))) |
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5))))))))) |
(- (* c (+ (* -1 (/ (* (pow a 2) c) (pow b_2 6))) (/ a (pow b_2 4)))) (/ 1 (pow b_2 2))) |
(- (* c (+ (* c (+ (* -1 (/ (pow a 2) (pow b_2 6))) (/ (* (pow a 3) c) (pow b_2 8)))) (/ a (pow b_2 4)))) (/ 1 (pow b_2 2))) |
(- (+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) b_2) |
(- (+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5)))))))) b_2) |
(- (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a)) |
(- (+ (* c (+ (* -1/8 (/ (* a (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (sqrt -1) b_2)))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a)) |
(- (+ (* c (+ (* 1/2 (/ (sqrt -1) b_2)) (* c (+ (* -1/8 (/ (* a (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 5))))))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a)) |
(+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) |
(+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5)))))))) |
(+ (* c (+ (* 2 (* a (pow b_2 2))) (* (pow a 2) c))) (pow b_2 4)) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c))) |
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))) |
(* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))) |
(/ (- (/ (pow b_2 2) (* (pow a 2) c)) (/ 1 a)) c) |
(/ (- (+ (* -1 (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (/ (pow b_2 2) (* (pow a 2) c))) (/ 1 a)) c) |
(/ (- (+ (* -1 (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (+ (/ (pow b_2 2) (* (pow a 2) c)) (/ (pow b_2 6) (* (pow a 4) (pow c 3))))) (/ 1 a)) c) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* c (+ a (/ (pow b_2 2) c))) |
(* (pow c 2) (+ (* 2 (/ (* a (pow b_2 2)) c)) (pow a 2))) |
(* (pow c 2) (+ (* 2 (/ (* a (pow b_2 2)) c)) (+ (/ (pow b_2 4) (pow c 2)) (pow a 2)))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))) |
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c)))))) |
(* -1 (* c (+ a (/ (pow b_2 2) c)))) |
(* -1 (/ (+ (* -1 (/ (pow b_2 2) (* (pow a 2) c))) (/ 1 a)) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) (* (pow a 3) c))) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 6) (* (pow a 4) c))) (/ (pow b_2 4) (pow a 3))) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c)) |
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 3)) (/ b_2 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -2 (* a (pow b_2 2))) (* -1 (/ (pow b_2 4) c))) c)) (pow a 2))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | a | @ | 0 | ((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (neg (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) (/ (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) a) (/ (/ c b_2) b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1)))) (+ (* c a) (* b_2 b_2)) (pow (+ (* c a) (* b_2 b_2)) 2)) |
| 8.0ms | c | @ | -inf | ((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (neg (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) (/ (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) a) (/ (/ c b_2) b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1)))) (+ (* c a) (* b_2 b_2)) (pow (+ (* c a) (* b_2 b_2)) 2)) |
| 8.0ms | c | @ | 0 | ((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (neg (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) (/ (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) a) (/ (/ c b_2) b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1)))) (+ (* c a) (* b_2 b_2)) (pow (+ (* c a) (* b_2 b_2)) 2)) |
| 7.0ms | b_2 | @ | -inf | ((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (neg (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) (/ (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) a) (/ (/ c b_2) b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1)))) (+ (* c a) (* b_2 b_2)) (pow (+ (* c a) (* b_2 b_2)) 2)) |
| 6.0ms | c | @ | inf | ((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (/ c b_2) -1/2) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* (/ a b_2) -1/2) c) (* (/ a b_2) -1/2) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (neg (pow (+ (* c a) (* b_2 b_2)) -1)) (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) (/ (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) a) (/ (/ c b_2) b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1)))) (+ (* c a) (* b_2 b_2)) (pow (+ (* c a) (* b_2 b_2)) 2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 994 | 5860 |
| 1 | 3157 | 5766 |
| 0 | 9064 | 5503 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (/ c b_2)) |
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))) |
(* -1/2 (/ (* a c) b_2)) |
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))) |
(* -1/2 (/ a b_2)) |
(* -2 (/ b_2 a)) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) |
(/ 2 a) |
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a) |
(* -1 (pow b_2 2)) |
(+ (* -1 (* a c)) (* -1 (pow b_2 2))) |
(/ -1 (pow b_2 2)) |
(- (/ (* a c) (pow b_2 4)) (/ 1 (pow b_2 2))) |
(- (* a (+ (* -1 (/ (* a (pow c 2)) (pow b_2 6))) (/ c (pow b_2 4)))) (/ 1 (pow b_2 2))) |
(- (* a (+ (* a (+ (* -1 (/ (pow c 2) (pow b_2 6))) (/ (* a (pow c 3)) (pow b_2 8)))) (/ c (pow b_2 4)))) (/ 1 (pow b_2 2))) |
(- (* b_2 (sqrt -1)) b_2) |
(- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2) |
(- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2) |
(- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2) |
(/ (- (* b_2 (sqrt -1)) b_2) a) |
(/ (- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2) a) |
(/ (- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2) a) |
(/ (- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2) a) |
(* b_2 (sqrt -1)) |
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) |
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) |
(+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) |
(pow b_2 2) |
(+ (* a c) (pow b_2 2)) |
(pow b_2 4) |
(+ (* 2 (* a (* (pow b_2 2) c))) (pow b_2 4)) |
(+ (* a (+ (* 2 (* (pow b_2 2) c)) (* a (pow c 2)))) (pow b_2 4)) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a))) |
(* 1/2 (/ c b_2)) |
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))) |
(* -1/2 (/ c (pow b_2 2))) |
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))) |
(* -1 (* a c)) |
(* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))) |
(/ -1 (* a c)) |
(/ (- (/ (pow b_2 2) (* a (pow c 2))) (/ 1 c)) a) |
(/ (- (+ (* -1 (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (/ (pow b_2 2) (* a (pow c 2)))) (/ 1 c)) a) |
(/ (- (+ (* -1 (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (+ (/ (pow b_2 2) (* a (pow c 2))) (/ (pow b_2 6) (* (pow a 3) (pow c 4))))) (/ 1 c)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a))) |
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* a c) |
(* a (+ c (/ (pow b_2 2) a))) |
(* (pow a 2) (pow c 2)) |
(* (pow a 2) (+ (* 2 (/ (* (pow b_2 2) c) a)) (pow c 2))) |
(* (pow a 2) (+ (* 2 (/ (* (pow b_2 2) c) a)) (+ (/ (pow b_2 4) (pow a 2)) (pow c 2)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ c (/ (pow b_2 2) a)))) |
(* -1 (/ (+ (* -1 (/ (pow b_2 2) (* a (pow c 2)))) (/ 1 c)) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) (* a (pow c 3)))) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 6) (* a (pow c 4)))) (/ (pow b_2 4) (pow c 3))) a)) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a)) |
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))) |
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) |
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1))))) a))) a))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -2 (* (pow b_2 2) c)) (* -1 (/ (pow b_2 4) a))) a)) (pow c 2))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(* -2 b_2) |
(/ c b_2) |
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2) |
(* -1 b_2) |
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2)) |
(- (/ (pow b_2 2) (* (pow a 2) (pow c 2))) (/ 1 (* a c))) |
(- (* (pow b_2 2) (+ (* -1 (/ (pow b_2 2) (* (pow a 3) (pow c 3)))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c))) |
(- (* (pow b_2 2) (+ (* (pow b_2 2) (- (/ (pow b_2 2) (* (pow a 4) (pow c 4))) (/ 1 (* (pow a 3) (pow c 3))))) (/ 1 (* (pow a 2) (pow c 2))))) (/ 1 (* a c))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(/ c (pow b_2 2)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1))))))))) |
(+ (* 2 (* a (* (pow b_2 2) c))) (* (pow a 2) (pow c 2))) |
(+ (* (pow a 2) (pow c 2)) (* (pow b_2 2) (+ (* 2 (* a c)) (pow b_2 2)))) |
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2) |
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2) |
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2) |
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2) |
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))) |
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1)) |
(/ (- (/ (* a c) (pow b_2 2)) 1) (pow b_2 2)) |
(/ (- (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (/ (* a c) (pow b_2 2))) 1) (pow b_2 2)) |
(/ (- (+ (* -1 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (+ (/ (* a c) (pow b_2 2)) (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))) 1) (pow b_2 2)) |
(* b_2 (- (sqrt -1) 1)) |
(* b_2 (- (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))) 1)) |
(* b_2 (- (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))) 1)) |
(* b_2 (- (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))) 1)) |
(/ (* b_2 (- (sqrt -1) 1)) a) |
(* b_2 (- (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)) (/ 1 a))) |
(* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a))) (/ 1 a))) |
(* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)))) (/ 1 a))) |
(* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))) |
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))) |
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))) |
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2)))) |
(* (pow b_2 4) (+ 1 (* 2 (/ (* a c) (pow b_2 2))))) |
(* (pow b_2 4) (+ 1 (+ (* 2 (/ (* a c) (pow b_2 2))) (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a))))))) |
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))) |
(* -1 (* b_2 (+ 1 (sqrt -1)))) |
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))) |
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))) |
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))) |
(* -1 (/ (* b_2 (+ 1 (sqrt -1))) a)) |
(* -1 (* b_2 (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a))))) |
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))) |
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a))))))) |
(* -1 (* b_2 (sqrt -1))) |
(* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))) |
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))) |
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))) |
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2)))) |
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5))))))))) |
(- (* c (+ (* -1 (/ (* (pow a 2) c) (pow b_2 6))) (/ a (pow b_2 4)))) (/ 1 (pow b_2 2))) |
(- (* c (+ (* c (+ (* -1 (/ (pow a 2) (pow b_2 6))) (/ (* (pow a 3) c) (pow b_2 8)))) (/ a (pow b_2 4)))) (/ 1 (pow b_2 2))) |
(- (+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) b_2) |
(- (+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5)))))))) b_2) |
(- (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a)) |
(- (+ (* c (+ (* -1/8 (/ (* a (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (sqrt -1) b_2)))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a)) |
(- (+ (* c (+ (* 1/2 (/ (sqrt -1) b_2)) (* c (+ (* -1/8 (/ (* a (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 5))))))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a)) |
(+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) |
(+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5)))))))) |
(+ (* c (+ (* 2 (* a (pow b_2 2))) (* (pow a 2) c))) (pow b_2 4)) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c))) |
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))) |
(* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))) |
(/ (- (/ (pow b_2 2) (* (pow a 2) c)) (/ 1 a)) c) |
(/ (- (+ (* -1 (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (/ (pow b_2 2) (* (pow a 2) c))) (/ 1 a)) c) |
(/ (- (+ (* -1 (/ (pow b_2 4) (* (pow a 3) (pow c 2)))) (+ (/ (pow b_2 2) (* (pow a 2) c)) (/ (pow b_2 6) (* (pow a 4) (pow c 3))))) (/ 1 a)) c) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* c (+ a (/ (pow b_2 2) c))) |
(* (pow c 2) (+ (* 2 (/ (* a (pow b_2 2)) c)) (pow a 2))) |
(* (pow c 2) (+ (* 2 (/ (* a (pow b_2 2)) c)) (+ (/ (pow b_2 4) (pow c 2)) (pow a 2)))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))) |
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c)))))) |
(* -1 (* c (+ a (/ (pow b_2 2) c)))) |
(* -1 (/ (+ (* -1 (/ (pow b_2 2) (* (pow a 2) c))) (/ 1 a)) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 4) (* (pow a 3) c))) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 6) (* (pow a 4) c))) (/ (pow b_2 4) (pow a 3))) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c)) |
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 3)) (/ b_2 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))) |
(* (pow c 2) (+ (* -1 (/ (+ (* -2 (* a (pow b_2 2))) (* -1 (/ (pow b_2 4) c))) c)) (pow a 2))) |
| Outputs |
|---|
(* -1/2 (/ c b_2)) |
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) |
(fma.f64 (*.f64 a #s(literal -1/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (*.f64 #s(literal 5/64 binary64) a)) b_2) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
(* -1/2 (/ (* a c) b_2)) |
(*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)) |
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) |
(*.f64 (fma.f64 (*.f64 a #s(literal -1/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -1/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (*.f64 #s(literal 5/64 binary64) a)) b_2) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) a) |
(* -1/2 (/ a b_2)) |
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) |
(* -2 (/ b_2 a)) |
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 a (/.f64 c b_2)) (*.f64 #s(literal -2 binary64) b_2)) a) |
(/ 2 a) |
(/.f64 #s(literal 2 binary64) a) |
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a) |
(/.f64 (fma.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 2 binary64)) a) |
(* -1 (pow b_2 2)) |
(*.f64 (neg.f64 b_2) b_2) |
(+ (* -1 (* a c)) (* -1 (pow b_2 2))) |
(neg.f64 (fma.f64 c a (*.f64 b_2 b_2))) |
(/ -1 (pow b_2 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 b_2 b_2)) |
(- (/ (* a c) (pow b_2 4)) (/ 1 (pow b_2 2))) |
(fma.f64 a (/.f64 c (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 #s(literal -1 binary64) (*.f64 b_2 b_2))) |
(- (* a (+ (* -1 (/ (* a (pow c 2)) (pow b_2 6))) (/ c (pow b_2 4)))) (/ 1 (pow b_2 2))) |
(fma.f64 (-.f64 (/.f64 c (pow.f64 b_2 #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 6 binary64)))) a (/.f64 #s(literal -1 binary64) (*.f64 b_2 b_2))) |
(- (* a (+ (* a (+ (* -1 (/ (pow c 2) (pow b_2 6))) (/ (* a (pow c 3)) (pow b_2 8)))) (/ c (pow b_2 4)))) (/ 1 (pow b_2 2))) |
(fma.f64 (fma.f64 (fma.f64 a (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 8 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b_2 #s(literal 6 binary64)))) a (/.f64 c (pow.f64 b_2 #s(literal 4 binary64)))) a (/.f64 #s(literal -1 binary64) (*.f64 b_2 b_2))) |
(- (* b_2 (sqrt -1)) b_2) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) |
(- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2) |
(fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) |
(- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) |
(- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) a) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) |
(/ (- (* b_2 (sqrt -1)) b_2) a) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) a) |
(/ (- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2) a) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) a) |
(/ (- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2) a) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) a) |
(/ (- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) a) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) a) |
(* b_2 (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) |
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) |
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) |
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(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) a) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)) |
(pow b_2 2) |
(*.f64 b_2 b_2) |
(+ (* a c) (pow b_2 2)) |
(fma.f64 c a (*.f64 b_2 b_2)) |
(pow b_2 4) |
(pow.f64 b_2 #s(literal 4 binary64)) |
(+ (* 2 (* a (* (pow b_2 2) c))) (pow b_2 4)) |
(fma.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) c) #s(literal 2 binary64)) a (pow.f64 b_2 #s(literal 4 binary64))) |
(+ (* a (+ (* 2 (* (pow b_2 2) c)) (* a (pow c 2)))) (pow b_2 4)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 b_2 b_2) c) #s(literal 2 binary64) (*.f64 (*.f64 c c) a)) a (pow.f64 b_2 #s(literal 4 binary64))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) a)) |
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(fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 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 -1 binary64)) (/.f64 (neg.f64 b_2) a))) |
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(fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 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_2 b_2) (sqrt.f64 #s(literal -1 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 -1 binary64)) (/.f64 (neg.f64 b_2) a)))) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64))) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (neg.f64 b_2) a)) a) |
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(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 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 -1 binary64)) (/.f64 (neg.f64 b_2) a))) a) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a))) |
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(* 1/2 (/ c b_2)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) |
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))) |
(* -1/2 (/ c (pow b_2 2))) |
(*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))) |
(fma.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) |
(* -1 (* a c)) |
(*.f64 (neg.f64 a) c) |
(* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))) |
(*.f64 (neg.f64 a) (+.f64 (/.f64 (*.f64 b_2 b_2) a) c)) |
(/ -1 (* a c)) |
(/.f64 (/.f64 #s(literal -1 binary64) a) c) |
(/ (- (/ (pow b_2 2) (* a (pow c 2))) (/ 1 c)) a) |
(/.f64 (fma.f64 (/.f64 b_2 (*.f64 c c)) (/.f64 b_2 a) (/.f64 #s(literal -1 binary64) c)) a) |
(/ (- (+ (* -1 (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (/ (pow b_2 2) (* a (pow c 2)))) (/ 1 c)) a) |
(/.f64 (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 a a)) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 c #s(literal 3 binary64))) (fma.f64 (/.f64 b_2 (*.f64 c c)) (/.f64 b_2 a) (/.f64 #s(literal -1 binary64) c))) a) |
(/ (- (+ (* -1 (/ (pow b_2 4) (* (pow a 2) (pow c 3)))) (+ (/ (pow b_2 2) (* a (pow c 2))) (/ (pow b_2 6) (* (pow a 3) (pow c 4))))) (/ 1 c)) a) |
(/.f64 (-.f64 (-.f64 (fma.f64 (/.f64 b_2 (*.f64 c c)) (/.f64 b_2 a) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (*.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 c #s(literal 4 binary64))))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) a))) (/.f64 #s(literal 1 binary64) c)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) |
(*.f64 (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 a)) a) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 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 -1/8 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 a))) a) |
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 a)) |
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 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 -1/8 binary64) (-.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 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 -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 4 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 -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)))))) a) |
(* a c) |
(*.f64 c a) |
(* a (+ c (/ (pow b_2 2) a))) |
(*.f64 (+.f64 (/.f64 (*.f64 b_2 b_2) a) c) a) |
(* (pow a 2) (pow c 2)) |
(*.f64 (*.f64 (*.f64 c c) a) a) |
(* (pow a 2) (+ (* 2 (/ (* (pow b_2 2) c) a)) (pow c 2))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) c) a) #s(literal 2 binary64) (*.f64 c c)) a) a) |
(* (pow a 2) (+ (* 2 (/ (* (pow b_2 2) c) a)) (+ (/ (pow b_2 4) (pow a 2)) (pow c 2)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 #s(literal 2 binary64) b_2) b_2) (/.f64 c a) (fma.f64 c c (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (*.f64 a a)))) (*.f64 a a)) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))) |
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(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a))) |
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(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 b_2 a))) |
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(* -1 (* a (+ c (/ (pow b_2 2) a)))) |
(*.f64 (neg.f64 a) (+.f64 (/.f64 (*.f64 b_2 b_2) a) c)) |
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(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) c) (*.f64 (/.f64 b_2 (*.f64 c c)) (/.f64 b_2 a))) (neg.f64 a)) |
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(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) c) (/.f64 (fma.f64 (/.f64 b_2 c) (/.f64 b_2 c) (/.f64 (neg.f64 (pow.f64 b_2 #s(literal 4 binary64))) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) a)) (neg.f64 a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 6) (* a (pow c 4)))) (/ (pow b_2 4) (pow c 3))) a)) (/ (pow b_2 2) (pow c 2))) a)) (/ 1 c)) a)) |
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(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3))) |
(neg.f64 (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 c a)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a)))) |
(*.f64 (neg.f64 a) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow b_2 6) (* (pow a 4) c))) (/ (pow b_2 4) (pow a 3))) c)) (/ (pow b_2 2) (pow a 2))) c)) (/ 1 a)) c)) |
(/.f64 (-.f64 (/.f64 #s(literal 1 binary64) a) (/.f64 (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (/.f64 (-.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (pow.f64 a #s(literal 3 binary64))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (*.f64 (pow.f64 a #s(literal 4 binary64)) c))) (neg.f64 c))) c)) (neg.f64 c)) |
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 3)) (/ b_2 c)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 b_2 c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (neg.f64 b_2)) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (sqrt.f64 (/.f64 c a)))) (neg.f64 c)) b_2) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1 binary64) (/.f64 (/.f64 b_2 a) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3))))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 (neg.f64 b_2) a)) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) #s(literal -1 binary64)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))))) (neg.f64 c)) (/.f64 b_2 a)) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))) |
(*.f64 (neg.f64 (+.f64 (/.f64 (*.f64 b_2 b_2) c) a)) (neg.f64 c)) |
(* (pow c 2) (+ (* -1 (/ (+ (* -2 (* a (pow b_2 2))) (* -1 (/ (pow b_2 4) c))) c)) (pow a 2))) |
(*.f64 (fma.f64 a a (/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) b_2) b_2 (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (neg.f64 c))) (neg.f64 c))) (*.f64 c c)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 277 |
| 0 | 64 | 265 |
| 1 | 229 | 223 |
| 2 | 1594 | 220 |
| 0 | 8632 | 220 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) |
(*.f64 #s(literal -2 binary64) b_2) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) |
(/.f64 c b_2) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c) |
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) |
(*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) |
(neg.f64 b_2) |
(fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)) |
(*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))) |
(neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))) |
(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) a) |
(/.f64 (/.f64 c b_2) b_2) |
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64))))) |
(fma.f64 c a (*.f64 b_2 b_2)) |
(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) |
(*.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (pow.f64 (neg.f64 a) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)) |
(*.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) (pow.f64 a #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal 1 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))) (neg.f64 (neg.f64 (neg.f64 a)))) |
(/.f64 (*.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal 1 binary64)) a) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (neg.f64 a)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
(neg.f64 (/.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) a)) |
(neg.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64))) |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) |
(*.f64 #s(literal -2 binary64) b_2) |
(*.f64 b_2 #s(literal -2 binary64)) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (neg.f64 c) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)) |
(*.f64 (*.f64 #s(literal -1/2 binary64) c) (pow.f64 b_2 #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 c) b_2) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 (neg.f64 c) b_2)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
(*.f64 c (*.f64 (pow.f64 b_2 #s(literal -1 binary64)) #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) c)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 c) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 b_2))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c))) (neg.f64 (neg.f64 b_2))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) c))) (neg.f64 (neg.f64 b_2))) |
(/.f64 (*.f64 (neg.f64 c) #s(literal -1/2 binary64)) (neg.f64 b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (neg.f64 c)) (neg.f64 b_2)) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) c)) (neg.f64 b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) c))) |
(/.f64 #s(literal 1/2 binary64) (neg.f64 (/.f64 b_2 c))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) c)))) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)) |
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 c #s(literal -1 binary64))) |
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (pow.f64 (pow.f64 c #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) c) |
(*.f64 (neg.f64 c) (pow.f64 (neg.f64 b_2) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 c b_2)) |
(*.f64 c (pow.f64 b_2 #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 b_2 c) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b_2 c) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64))) (neg.f64 b_2)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 c))) (neg.f64 (neg.f64 (neg.f64 b_2)))) |
(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) (neg.f64 b_2)) |
(/.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) b_2) |
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 b_2))) |
(/.f64 (*.f64 c #s(literal 1 binary64)) b_2) |
(/.f64 (neg.f64 c) (neg.f64 b_2)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 b_2 c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 c) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 b_2 c)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 b_2 c) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 c))) |
(/.f64 c b_2) |
(neg.f64 (/.f64 (neg.f64 c) b_2)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b_2)) (/.f64 (neg.f64 c) b_2)) |
(exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 a #s(literal -1 binary64)) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))) |
(*.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))) (pow.f64 (neg.f64 a) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a)) |
(*.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) (pow.f64 a #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) #s(literal 1 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c))))) (neg.f64 (neg.f64 (neg.f64 a)))) |
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(neg.f64 b_2) |
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(*.f64 (pow.f64 (/.f64 a (+.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) #s(literal -1 binary64))) |
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(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)) |
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(pow.f64 (/.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) #s(literal -1 binary64)) |
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(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal 1 binary64))) (neg.f64 a)) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) a))) |
(/.f64 (*.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (pow.f64 a #s(literal -1 binary64))) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (pow.f64 a #s(literal -1 binary64))) (fma.f64 b_2 b_2 (+.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) #s(literal 1 binary64)) a) |
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) (neg.f64 a)) |
(/.f64 (neg.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2)))) (neg.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) (neg.f64 (*.f64 a (fma.f64 b_2 b_2 (+.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))) (neg.f64 (neg.f64 a))) |
(/.f64 (*.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a)) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 b_2 b_2 (+.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) a)) |
(/.f64 (fma.f64 b_2 b_2 (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 a (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))) |
(/.f64 (+.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 a (fma.f64 b_2 b_2 (+.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) a) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) a)) |
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (neg.f64 a))) |
(-.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))) (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 a (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)))) |
(-.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 0 binary64)) a) (/.f64 b_2 a)) |
(-.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) a) (/.f64 (/.f64 (fma.f64 c a (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2)) a)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) a) (/.f64 b_2 a)) |
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (-.f64 b_2 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) a)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2) (neg.f64 a))) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) b_2))) #s(literal -1 binary64))) |
(*.f64 (/.f64 c (*.f64 (neg.f64 b_2) #s(literal -1 binary64))) (pow.f64 b_2 #s(literal -1 binary64))) |
(*.f64 (/.f64 c #s(literal 1 binary64)) (pow.f64 b_2 #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 (/.f64 c b_2) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 (neg.f64 c) b_2)) |
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b_2 (neg.f64 b_2)))) |
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 (neg.f64 (pow.f64 b_2 #s(literal -1 binary64))) b_2)) |
(*.f64 (pow.f64 (/.f64 b_2 (neg.f64 c)) #s(literal -1 binary64)) (pow.f64 (neg.f64 b_2) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 (pow.f64 b_2 #s(literal -1 binary64)) b_2)) |
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (/.f64 (pow.f64 b_2 #s(literal -1 binary64)) (pow.f64 c #s(literal -1 binary64)))) |
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (/.f64 c b_2)) |
(*.f64 (/.f64 (neg.f64 c) b_2) (/.f64 (pow.f64 b_2 #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 c) b_2) (pow.f64 (neg.f64 b_2) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 (/.f64 c b_2) b_2)) |
(*.f64 (/.f64 c b_2) (/.f64 (neg.f64 (pow.f64 b_2 #s(literal -1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 c b_2) (pow.f64 b_2 #s(literal -1 binary64))) |
(*.f64 c (/.f64 (pow.f64 b_2 #s(literal -1 binary64)) b_2)) |
(*.f64 c (pow.f64 b_2 #s(literal -2 binary64))) |
(pow.f64 (/.f64 (*.f64 (/.f64 b_2 c) b_2) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 b_2 b_2) c) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 b_2 c) b_2) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 (/.f64 c b_2) #s(literal 1 binary64))) (neg.f64 b_2)) |
(/.f64 (neg.f64 (*.f64 (/.f64 c b_2) #s(literal 1 binary64))) (neg.f64 b_2)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 c) #s(literal 1 binary64))) (*.f64 b_2 b_2)) |
(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) (neg.f64 (*.f64 b_2 b_2))) |
(/.f64 (/.f64 (/.f64 c b_2) #s(literal 1 binary64)) b_2) |
(/.f64 (*.f64 (/.f64 c b_2) #s(literal 1 binary64)) b_2) |
(/.f64 (neg.f64 (pow.f64 b_2 #s(literal -1 binary64))) (neg.f64 (/.f64 b_2 c))) |
(/.f64 (neg.f64 (neg.f64 c)) (neg.f64 (neg.f64 (*.f64 b_2 b_2)))) |
(/.f64 (neg.f64 (neg.f64 c)) (*.f64 b_2 b_2)) |
(/.f64 (*.f64 (neg.f64 c) #s(literal 1 binary64)) (*.f64 (neg.f64 b_2) b_2)) |
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 b_2 b_2)) |
(/.f64 (pow.f64 b_2 #s(literal -1 binary64)) (/.f64 b_2 c)) |
(/.f64 (/.f64 (neg.f64 c) b_2) (neg.f64 (neg.f64 (neg.f64 b_2)))) |
(/.f64 (/.f64 (neg.f64 c) b_2) (neg.f64 b_2)) |
(/.f64 (neg.f64 c) (*.f64 b_2 (neg.f64 b_2))) |
(/.f64 (neg.f64 c) (neg.f64 (*.f64 b_2 b_2))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 (/.f64 b_2 c) b_2)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 b_2 c) b_2) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 b_2) c)) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 b_2 c) b_2)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (/.f64 b_2 c) b_2) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 b_2 b_2) c))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 (/.f64 b_2 c) b_2))) |
(/.f64 (/.f64 c b_2) (neg.f64 (neg.f64 b_2))) |
(/.f64 (/.f64 c b_2) b_2) |
(/.f64 c (*.f64 b_2 b_2)) |
(neg.f64 (/.f64 (/.f64 (neg.f64 c) b_2) b_2)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b_2 (neg.f64 b_2))) (/.f64 c (*.f64 b_2 (neg.f64 b_2)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (*.f64 b_2 b_2))) (/.f64 c (neg.f64 (*.f64 b_2 b_2)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 b_2)) (/.f64 (/.f64 (neg.f64 c) b_2) b_2)) |
(exp.f64 (*.f64 (log.f64 (*.f64 (/.f64 b_2 c) b_2)) #s(literal -1 binary64))) |
(*.f64 (sqrt.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64))) (sqrt.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1/2 binary64)))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (sqrt.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))))) |
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(*.f64 (hypot.f64 (pow.f64 (*.f64 c a) #s(literal 3/2 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (sqrt.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal -1 binary64))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3/2 binary64)) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2)) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))) #s(literal 1/2 binary64)) (pow.f64 (pow.f64 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1/2 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1/2 binary64))) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) |
(*.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) |
(*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))))) |
(*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) (pow.f64 #s(literal 1 binary64) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) (pow.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1/2 binary64)) (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2)))) #s(literal 1/2 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)) |
(*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1/2 binary64)) (fma.f64 c a (*.f64 b_2 b_2))) |
(*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1/2 binary64))) |
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 c a (*.f64 (neg.f64 b_2) b_2))))) |
(/.f64 (sqrt.f64 (neg.f64 (+.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64))))) (sqrt.f64 (neg.f64 (fma.f64 (*.f64 b_2 b_2) (fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) (pow.f64 (*.f64 c a) #s(literal 2 binary64)))))) |
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(fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 b_2 b_2) (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a))) |
(fma.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 (*.f64 c a) (fma.f64 c a (*.f64 b_2 b_2)))) |
(sqrt.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)))) |
(fabs.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) |
(+.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a)) (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 b_2 b_2))) |
(+.f64 (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) (*.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a))) |
(+.f64 (*.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (*.f64 c a) (fma.f64 c a (*.f64 b_2 b_2)))) |
(+.f64 (*.f64 (*.f64 c a) (fma.f64 c a (*.f64 b_2 b_2))) (*.f64 (*.f64 b_2 b_2) (fma.f64 c a (*.f64 b_2 b_2)))) |
(exp.f64 (+.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) (log.f64 (fma.f64 c a (*.f64 b_2 b_2))))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 c a (*.f64 b_2 b_2))) #s(literal 2 binary64))) |
Compiled 35 144 to 4 673 computations (86.7% saved)
25 alts after pruning (21 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 991 | 18 | 1 009 |
| Fresh | 2 | 3 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 995 | 25 | 1 020 |
| Status | Accuracy | Program |
|---|---|---|
| 12.6% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 4 binary64))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3 binary64))))) a) | |
| ✓ | 55.8% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 20.7% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(approx (neg (pow (+ (* c a) (* b_2 b_2)) -1)) (/.f64 (/.f64 #s(literal -1 binary64) a) c))))) a) | |
| 8.7% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (pow.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 (*.f64 (fma.f64 (/.f64 a b_2) (/.f64 c b_2) #s(literal 1 binary64)) b_2) b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) a) | |
| 8.2% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 #s(approx (pow (+ (* c a) (* b_2 b_2)) 2) (*.f64 (fma.f64 c c (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) c) (*.f64 b_2 b_2) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (neg.f64 a))) (neg.f64 a))) (*.f64 a a))) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) a) | |
| 23.3% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 #s(approx (pow (+ (* c a) (* b_2 b_2)) 2) (*.f64 (*.f64 (*.f64 c c) a) a)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) a) | |
| 31.6% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a) | |
| ▶ | 9.2% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2))))) a) |
| ✓ | 22.4% | (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) |
| 24.9% | (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a) | |
| ▶ | 22.4% | (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a) |
| ✓ | 40.9% | (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
| 40.8% | (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) | |
| 10.9% | (exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)))) #s(literal -1 binary64))) | |
| ▶ | 21.2% | (exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64))) |
| 27.6% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 c c) a) b_2) (*.f64 #s(literal -1/2 binary64) c)) b_2)) | |
| 29.4% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))) | |
| 1.3% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 #s(literal 0 binary64) (neg.f64 b_2))))) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) | |
| ✓ | 30.0% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
| 40.8% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)))) | |
| 14.7% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal -1/2 binary64))) | |
| 30.0% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) | |
| ▶ | 41.0% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) |
| 27.5% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2))) | |
| ▶ | 8.6% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) |
Compiled 1 306 to 908 computations (30.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) | |
| cost-diff | 0 | (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) | |
| cost-diff | 192 | (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)) | |
| cost-diff | 12928 | (exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64))) | |
| cost-diff | 0 | (neg.f64 b_2) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2))))) a) | |
| cost-diff | 128 | (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2))))) | |
| cost-diff | 896 | (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2)) | |
| cost-diff | 0 | (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) | |
| cost-diff | 0 | (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c) | |
| cost-diff | 0 | #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a) | |
| cost-diff | 0 | (/.f64 c b_2) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) | |
| cost-diff | 0 | #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) | |
| cost-diff | 0 | (/.f64 c b_2) | |
| cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))) | |
| cost-diff | 0 | #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 499 |
| 0 | 82 | 497 |
| 1 | 147 | 481 |
| 2 | 308 | 433 |
| 3 | 814 | 433 |
| 4 | 2165 | 404 |
| 5 | 6853 | 404 |
| 0 | 8027 | 400 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) |
#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))) |
#s(literal 1/2 binary64) |
(/.f64 c b_2) |
c |
b_2 |
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) |
(/.f64 b_2 a) |
a |
#s(literal -2 binary64) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) |
#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) |
#s(literal 1/2 binary64) |
(/.f64 c b_2) |
c |
b_2 |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a) |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) |
(*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c) |
(*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) |
a |
(/.f64 #s(literal -1/2 binary64) b_2) |
#s(literal -1/2 binary64) |
b_2 |
c |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2))))) a) |
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2))))) |
(neg.f64 b_2) |
b_2 |
(sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2)))) |
#s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2))) |
(*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2)) |
(fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) |
(/.f64 (neg.f64 a) b_2) |
(neg.f64 a) |
a |
(/.f64 c b_2) |
c |
#s(literal -1 binary64) |
(*.f64 b_2 b_2) |
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)) |
(log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) |
(/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) |
a |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) |
(*.f64 #s(literal -2 binary64) b_2) |
#s(literal -2 binary64) |
b_2 |
#s(literal -1 binary64) |
| Outputs |
|---|
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))))) |
#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) |
#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) b_2) c (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))) |
#s(literal 1/2 binary64) |
(/.f64 c b_2) |
c |
b_2 |
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) |
(/.f64 b_2 a) |
a |
#s(literal -2 binary64) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))) |
#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) |
#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) |
#s(literal 1/2 binary64) |
(/.f64 c b_2) |
c |
b_2 |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) a) |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c)) |
(*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c) |
(*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) c) |
(*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) |
a |
(/.f64 #s(literal -1/2 binary64) b_2) |
#s(literal -1/2 binary64) |
b_2 |
c |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2))))) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) c (neg.f64 b_2)) b_2))) b_2) a) |
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2))))) |
(-.f64 (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) c (neg.f64 b_2)) b_2))) b_2) |
(neg.f64 b_2) |
b_2 |
(sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2)))) |
(sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) c (neg.f64 b_2)) b_2))) |
#s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2))) |
#s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) c (neg.f64 b_2)) b_2)) |
(*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2)) |
(*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) c (neg.f64 b_2)) b_2) |
(fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) |
(/.f64 (neg.f64 a) b_2) |
(neg.f64 a) |
a |
(/.f64 c b_2) |
c |
#s(literal -1 binary64) |
(*.f64 b_2 b_2) |
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64))) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
(*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)) |
(neg.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))) |
(log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) |
(/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) |
a |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) |
(*.f64 #s(literal -2 binary64) b_2) |
#s(literal -2 binary64) |
b_2 |
#s(literal -1 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0 | (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) | |
| accuracy | 0.03125 | (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) | |
| accuracy | 0.8511351934816417 | (exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64))) | |
| accuracy | 10.120778077495467 | #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) | |
| accuracy | 0.05078125 | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2))))) a) | |
| accuracy | 0.6993634986631782 | (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) | |
| accuracy | 2.619830559203555 | (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2)))) | |
| accuracy | 4.878583727285938 | (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2)) | |
| accuracy | 0.046875 | (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a) | |
| accuracy | 0.046875 | (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) | |
| accuracy | 0.9848457438602181 | (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c) | |
| accuracy | 10.117004887717389 | #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) | |
| accuracy | 0.0 | (/.f64 c b_2) | |
| accuracy | 0.0 | (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) | |
| accuracy | 0.1420155142590519 | #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) | |
| accuracy | 10.09540563429595 | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) | |
| accuracy | 0.0 | (/.f64 b_2 a) | |
| accuracy | 0.0 | (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) | |
| accuracy | 0.0 | #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) | |
| accuracy | 10.09540563429595 | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) |
| 86.0ms | 214× | 0 | invalid |
| 18.0ms | 42× | 0 | valid |
Compiled 847 to 108 computations (87.2% saved)
ival-mult: 30.0ms (36.7% of total)ival-div: 22.0ms (26.9% of total)ival-log: 7.0ms (8.6% of total)ival-add: 6.0ms (7.3% of total)ival-sqrt: 3.0ms (3.7% of total)ival-neg: 3.0ms (3.7% of total)ival-pow: 3.0ms (3.7% of total)ival-exp: 2.0ms (2.4% of total)ival-pow2: 2.0ms (2.4% of total)ival-sub: 1.0ms (1.2% of total)exact: 1.0ms (1.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) |
#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))) |
(/.f64 c b_2) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) |
#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a) |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) |
(*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c) |
(*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) |
(*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2)) |
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2))))) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2))))) a) |
(neg.f64 b_2) |
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)) |
(log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) |
(/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) |
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) |
(/.f64 b_2 a) |
(sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2)))) |
(fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) |
| Outputs |
|---|
(* -1/2 (/ c b_2)) |
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))) |
(* -2 (/ b_2 a)) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) |
(* -1/2 (/ (* a c) b_2)) |
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))) |
(* -1/2 (/ a b_2)) |
(* -1 (pow b_2 2)) |
(+ (* -1 (* a c)) (* -1 (pow b_2 2))) |
(- (* b_2 (sqrt -1)) b_2) |
(- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2) |
(- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2) |
(- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2) |
(/ (- (* b_2 (sqrt -1)) b_2) a) |
(/ (- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2) a) |
(/ (- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2) a) |
(/ (- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2) a) |
(* -1 (log (* -2 (/ b_2 c)))) |
(+ (* -1 (log (* -2 (/ b_2 c)))) (* 1/4 (/ (* a c) (pow b_2 2)))) |
(+ (* -1 (log (* -2 (/ b_2 c)))) (* a (+ (* -1/2 (* a (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) b_2)))) (* 1/4 (/ c (pow b_2 2)))))) |
(+ (* -1 (log (* -2 (/ b_2 c)))) (* a (+ (* 1/4 (/ c (pow b_2 2))) (* a (+ (* -1/2 (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) b_2))) (* -1/6 (* a (+ (* -1/32 (/ (pow c 3) (pow b_2 6))) (+ (* 3/4 (/ (* (pow c 2) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 3))) (* 3 (/ (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5)))))) b_2))))))))))) |
(log (* -2 (/ b_2 c))) |
(+ (log (* -2 (/ b_2 c))) (* -1/4 (/ (* a c) (pow b_2 2)))) |
(+ (log (* -2 (/ b_2 c))) (* a (+ (* -1/4 (/ c (pow b_2 2))) (* 1/2 (* a (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) b_2))))))) |
(+ (log (* -2 (/ b_2 c))) (* a (+ (* -1/4 (/ c (pow b_2 2))) (* a (+ (* 1/6 (* a (+ (* -1/32 (/ (pow c 3) (pow b_2 6))) (+ (* 3/4 (/ (* (pow c 2) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 3))) (* 3 (/ (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5)))))) b_2)))))) (* 1/2 (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) b_2)))))))) |
(* -2 (/ b_2 c)) |
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))) |
(+ (* -2 (/ b_2 c)) (* a (+ (* -1 (* a (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2))))) |
(+ (* -2 (/ b_2 c)) (* a (+ (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5))))))) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2))))) |
(/ b_2 a) |
(* b_2 (sqrt -1)) |
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) |
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) |
(+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) |
-1 |
(- (* -1 (/ (* a c) (pow b_2 2))) 1) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* 1/2 (/ c b_2)) |
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a))) |
(* -1 (* a c)) |
(* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a))) |
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (log (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) |
(+ (* -1 (log (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1))))) |
(+ (* -1 (log (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (* -1/2 (/ (+ (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))) (pow a 2))))) |
(+ (* -1 (log (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))) (pow a 2))) (* -1/6 (/ (+ (* -6 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1))))))) (+ (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 6 (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))))) (pow a 3)))))) |
(log (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) |
(+ (log (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) |
(+ (log (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))) (pow a 2))) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1))))) |
(+ (log (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* 1/6 (/ (+ (* -6 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1))))))) (+ (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 6 (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))))) (pow a 3))) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))) (pow a 2))) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -1))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2))))) |
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (/ (* a c) (pow b_2 2))) |
(* a (- (* -1 (/ c (pow b_2 2))) (/ 1 a))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ c (/ (pow b_2 2) a)))) |
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))) |
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) |
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1))))) a))) a))) |
(* -1 (log (* -1 (* (sqrt (/ a c)) (sqrt -1))))) |
(+ (* -1 (log (* -1 (* (sqrt (/ a c)) (sqrt -1))))) (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))) |
(+ (* -1 (log (* -1 (* (sqrt (/ a c)) (sqrt -1))))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (sqrt -1)))) (* 1/2 (/ (+ (* 2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))))) (/ (* a (pow b_2 2)) c)) a))) a))) |
(+ (* -1 (log (* -1 (* (sqrt (/ a c)) (sqrt -1))))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (+ (* 2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))))) (/ (* a (pow b_2 2)) c))) (* 1/6 (/ (+ (* -6 (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))) (+ (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 3) (sqrt -1)))) (* 6 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/2 (/ (* (pow a 2) (pow b_2 3)) (pow c 2))) (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))))))))))) a))) a))) a))) |
(log (* -1 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (log (* -1 (* (sqrt (/ a c)) (sqrt -1)))) (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1))))) |
(+ (log (* -1 (* (sqrt (/ a c)) (sqrt -1)))) (* -1 (/ (+ (* -1/2 (/ (+ (* 2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))))) (/ (* a (pow b_2 2)) c)) a)) (* (sqrt (/ a c)) (* b_2 (sqrt -1)))) a))) |
(+ (log (* -1 (* (sqrt (/ a c)) (sqrt -1)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))) (+ (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 3) (sqrt -1)))) (* 6 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/2 (/ (* (pow a 2) (pow b_2 3)) (pow c 2))) (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))))))))))) a)) (* 1/2 (+ (* 2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))))) (/ (* a (pow b_2 2)) c)))) a)) (* (sqrt (/ a c)) (* b_2 (sqrt -1)))) a))) |
(* -1 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) c))) a))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b_2 3)) (pow c 2))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (* -1 (/ (* a b_2) c))) a))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))) |
(* -1 (* a (+ (/ 1 a) (/ c (pow b_2 2))))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2) |
(/ c b_2) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 b_2) |
(+ (* -1 (log (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* -1/2 (* b_2 (- (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (* a (* c (pow (sqrt -1) 2)))))))))) |
(+ (* -1 (log (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* b_2 (+ (* -1/2 (- (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (* a (* c (pow (sqrt -1) 2)))))) (* -1/6 (* b_2 (+ (* -6 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1))) (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))))))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 6 (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) a))))))))))) |
(+ (log (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* b_2 (+ (* 1/2 (* b_2 (- (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (* a (* c (pow (sqrt -1) 2))))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) |
(+ (log (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* 1/6 (* b_2 (+ (* -6 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1))) (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))))))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 6 (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) a)))))) (* 1/2 (- (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (* a (* c (pow (sqrt -1) 2)))))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) |
(+ (* b_2 (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) |
(+ (* b_2 (+ (* b_2 (- (* -1 (* b_2 (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1))))))))) |
(/ (+ (* -1 (* a c)) (* -1 (pow b_2 2))) (pow b_2 2)) |
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2) |
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2) |
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2) |
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))) |
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2) |
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1)) |
(* b_2 (- (sqrt -1) 1)) |
(* b_2 (- (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))) 1)) |
(* b_2 (- (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))) 1)) |
(* b_2 (- (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))) 1)) |
(/ (* b_2 (- (sqrt -1) 1)) a) |
(* b_2 (- (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)) (/ 1 a))) |
(* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a))) (/ 1 a))) |
(* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)))) (/ 1 a))) |
(* -1 (+ (log (/ -2 c)) (* -1 (log (/ 1 b_2))))) |
(+ (* -1 (+ (log (/ -2 c)) (* -1 (log (/ 1 b_2))))) (* 1/4 (/ (* a c) (pow b_2 2)))) |
(+ (* -1 (+ (log (/ -2 c)) (* -1 (log (/ 1 b_2))))) (+ (* -1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 12 (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (pow b_2 4))) (* 1/4 (/ (* a c) (pow b_2 2))))) |
(+ (* -1 (+ (log (/ -2 c)) (* -1 (log (/ 1 b_2))))) (+ (* -1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 12 (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (pow b_2 4))) (+ (* -1/720 (/ (+ (* -15/4 (* (pow a 3) (pow c 3))) (+ (* 90 (* a (* (pow c 2) (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 360 (* c (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))))))) (pow b_2 6))) (* 1/4 (/ (* a c) (pow b_2 2)))))) |
(+ (log (/ -2 c)) (* -1 (log (/ 1 b_2)))) |
(+ (log (/ -2 c)) (+ (* -1 (log (/ 1 b_2))) (* -1/4 (/ (* a c) (pow b_2 2))))) |
(+ (log (/ -2 c)) (+ (* -1 (log (/ 1 b_2))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (* 1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 12 (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (pow b_2 4)))))) |
(+ (log (/ -2 c)) (+ (* -1 (log (/ 1 b_2))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (+ (* 1/720 (/ (+ (* -15/4 (* (pow a 3) (pow c 3))) (+ (* 90 (* a (* (pow c 2) (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 360 (* c (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))))))) (pow b_2 6))) (* 1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 12 (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (pow b_2 4))))))) |
(* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))) |
(* b_2 (- (* -1 (/ (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c))) (pow b_2 4))) (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))) |
(* b_2 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))) (pow b_2 6))) (+ (* -1/2 (/ a (pow b_2 2))) (+ (* -1/4 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 4))) (* 2 (/ 1 c))))))) |
(* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))) |
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))) |
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a))))))) |
(* -2 b_2) |
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))) |
(* -1 (* b_2 (+ 1 (sqrt -1)))) |
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))) |
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))) |
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))) |
(* -1 (/ (* b_2 (+ 1 (sqrt -1))) a)) |
(* -1 (* b_2 (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a))))) |
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))) |
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a))))))) |
(* -1 (+ (log (* 1/2 a)) (log (/ -1 b_2)))) |
(+ (* -1 (+ (log (* 1/2 a)) (log (/ -1 b_2)))) (* -1/4 (/ (* a c) (pow b_2 2)))) |
(+ (* -1 (+ (log (* 1/2 a)) (log (/ -1 b_2)))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (* -1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))) (pow b_2 4))))) |
(+ (* -1 (+ (log (* 1/2 a)) (log (/ -1 b_2)))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (+ (* -1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/720 (/ (+ (* -1440 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) a)) (+ (* -45/2 (* (pow a 3) (pow c 3))) (* 15/4 (* (pow a 3) (pow c 3))))) (pow b_2 6)))))) |
(+ (log (* 1/2 a)) (log (/ -1 b_2))) |
(+ (log (* 1/2 a)) (+ (log (/ -1 b_2)) (* 1/4 (/ (* a c) (pow b_2 2))))) |
(+ (log (* 1/2 a)) (+ (log (/ -1 b_2)) (+ (* 1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/4 (/ (* a c) (pow b_2 2)))))) |
(+ (log (* 1/2 a)) (+ (log (/ -1 b_2)) (+ (* 1/720 (/ (+ (* -1440 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) a)) (+ (* -45/2 (* (pow a 3) (pow c 3))) (* 15/4 (* (pow a 3) (pow c 3))))) (pow b_2 6))) (+ (* 1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/4 (/ (* a c) (pow b_2 2))))))) |
(* -1 (/ (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* 1/2 a)) b_2)) |
(* -1 (/ (- (+ (* 1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 a)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 2)))) b_2)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) (pow b_2 6))) (* 1/2 a)) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) b_2)) |
(* -1 (* b_2 (sqrt -1))) |
(* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))) |
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))) |
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))) |
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2)))) |
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5))))))))) |
(- (+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) b_2) |
(- (+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5)))))))) b_2) |
(- (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a)) |
(- (+ (* c (+ (* -1/8 (/ (* a (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (sqrt -1) b_2)))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a)) |
(- (+ (* c (+ (* 1/2 (/ (sqrt -1) b_2)) (* c (+ (* -1/8 (/ (* a (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 5))))))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a)) |
(* -1 (+ (log (* -2 b_2)) (* -1 (log c)))) |
(+ (* -1 (+ (log (* -2 b_2)) (* -1 (log c)))) (* 1/4 (/ (* a c) (pow b_2 2)))) |
(+ (* -1 (+ (log (* -2 b_2)) (* -1 (log c)))) (* c (+ (* -1/2 (* c (+ (* -1/4 (/ (pow a 2) (pow b_2 4))) (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/8 (/ (pow a 2) (pow b_2 4))))))) (* 1/4 (/ a (pow b_2 2)))))) |
(+ (* -1 (+ (log (* -2 b_2)) (* -1 (log c)))) (* c (+ (* 1/4 (/ a (pow b_2 2))) (* c (+ (* -1/2 (+ (* -1/4 (/ (pow a 2) (pow b_2 4))) (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/8 (/ (pow a 2) (pow b_2 4)))))) (* -1/6 (* c (+ (* -1/32 (/ (pow a 3) (pow b_2 6))) (+ (* 3/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 3))) (* 3 (/ (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 3) (pow b_2 5))))) b_2))))))))))) |
(+ (log (* -2 b_2)) (* -1 (log c))) |
(+ (log (* -2 b_2)) (+ (* -1 (log c)) (* -1/4 (/ (* a c) (pow b_2 2))))) |
(+ (log (* -2 b_2)) (+ (* -1 (log c)) (* c (+ (* -1/4 (/ a (pow b_2 2))) (* 1/2 (* c (+ (* -1/4 (/ (pow a 2) (pow b_2 4))) (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/8 (/ (pow a 2) (pow b_2 4))))))))))) |
(+ (log (* -2 b_2)) (+ (* -1 (log c)) (* c (+ (* -1/4 (/ a (pow b_2 2))) (* c (+ (* 1/6 (* c (+ (* -1/32 (/ (pow a 3) (pow b_2 6))) (+ (* 3/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 3))) (* 3 (/ (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 3) (pow b_2 5))))) b_2)))))) (* 1/2 (+ (* -1/4 (/ (pow a 2) (pow b_2 4))) (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/8 (/ (pow a 2) (pow b_2 4)))))))))))) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c) |
(/ (+ (* -2 b_2) (* c (- (* -1 (* c (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c) |
(/ (+ (* -2 b_2) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 3) (pow b_2 5))))))) (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c) |
(+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) |
(+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5)))))))) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c))) |
(* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (log (/ 1 c)))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (* -1 (+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (log (/ 1 c))))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (+ (* -1 (+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (log (/ 1 c)))) (* -1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2))))) (pow c 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (+ (* -1 (+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (log (/ 1 c)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2))))) (pow c 2))) (* -1/6 (/ (+ (* -6 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1))))))) (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 6 (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) a)))) (pow c 3)))))) |
(+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (log (/ 1 c))) |
(+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (log (/ 1 c)) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1))))) |
(+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (log (/ 1 c)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2))))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))) |
(+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (log (/ 1 c)) (+ (* 1/6 (/ (+ (* -6 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1))))))) (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 6 (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) a)))) (pow c 3))) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2))))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1))))))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) c) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* c (- (* -1 (/ a (pow b_2 2))) (/ 1 c))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ a (/ (pow b_2 2) c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 3)) (/ b_2 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3))))) |
(* -1 (+ (log (* (sqrt (* a c)) (sqrt -1))) (log (/ -1 c)))) |
(+ (* -1 (+ (log (* (sqrt (* a c)) (sqrt -1))) (log (/ -1 c)))) (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))) |
(+ (* -1 (+ (log (* (sqrt (* a c)) (sqrt -1))) (log (/ -1 c)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) (* 1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))) (/ (* (pow b_2 2) c) a)) c))) c))) |
(+ (* -1 (+ (log (* (sqrt (* a c)) (sqrt -1))) (log (/ -1 c)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))) (/ (* (pow b_2 2) c) a))) (* 1/6 (/ (+ (* -6 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) a)) (* (sqrt (/ c a)) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))))))) (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1)))) (* 6 (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) a)))) c))) c))) c))) |
(+ (log (* (sqrt (* a c)) (sqrt -1))) (log (/ -1 c))) |
(+ (log (* (sqrt (* a c)) (sqrt -1))) (+ (log (/ -1 c)) (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))))) |
(+ (log (* (sqrt (* a c)) (sqrt -1))) (+ (log (/ -1 c)) (* -1 (/ (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))) (/ (* (pow b_2 2) c) a)) c)) (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) c)))) |
(+ (log (* (sqrt (* a c)) (sqrt -1))) (+ (log (/ -1 c)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) a)) (* (sqrt (/ c a)) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))))))) (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1)))) (* 6 (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) a)))) c)) (* 1/2 (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))) (/ (* (pow b_2 2) c) a)))) c)) (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) c)))) |
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b_2 3) c) a)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c)) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))) |
(* -1 (* c (+ (/ 1 c) (/ a (pow b_2 2))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | a | @ | inf | ((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (+ (* 1/2 (/ c b_2)) (* (/ b_2 a) -2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (* (+ (* (/ (neg a) b_2) (/ c b_2)) -1) (* b_2 b_2)) (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) (/ (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) a) (neg b_2) (exp (* (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1)) (* (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1) (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* (/ b_2 a) -2) (/ b_2 a) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1)))) (+ (* (/ (neg a) b_2) (/ c b_2)) -1) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) |
| 8.0ms | c | @ | 0 | ((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (+ (* 1/2 (/ c b_2)) (* (/ b_2 a) -2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (* (+ (* (/ (neg a) b_2) (/ c b_2)) -1) (* b_2 b_2)) (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) (/ (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) a) (neg b_2) (exp (* (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1)) (* (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1) (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* (/ b_2 a) -2) (/ b_2 a) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1)))) (+ (* (/ (neg a) b_2) (/ c b_2)) -1) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) |
| 7.0ms | c | @ | inf | ((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (+ (* 1/2 (/ c b_2)) (* (/ b_2 a) -2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (* (+ (* (/ (neg a) b_2) (/ c b_2)) -1) (* b_2 b_2)) (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) (/ (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) a) (neg b_2) (exp (* (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1)) (* (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1) (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* (/ b_2 a) -2) (/ b_2 a) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1)))) (+ (* (/ (neg a) b_2) (/ c b_2)) -1) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) |
| 7.0ms | a | @ | -inf | ((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (+ (* 1/2 (/ c b_2)) (* (/ b_2 a) -2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (* (+ (* (/ (neg a) b_2) (/ c b_2)) -1) (* b_2 b_2)) (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) (/ (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) a) (neg b_2) (exp (* (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1)) (* (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1) (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* (/ b_2 a) -2) (/ b_2 a) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1)))) (+ (* (/ (neg a) b_2) (/ c b_2)) -1) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) |
| 6.0ms | b_2 | @ | inf | ((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (+ (* 1/2 (/ c b_2)) (* (/ b_2 a) -2)) (/ c b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (* 1/2 (/ c b_2)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* (* a (/ -1/2 b_2)) c) (* a (/ -1/2 b_2)) (* (+ (* (/ (neg a) b_2) (/ c b_2)) -1) (* b_2 b_2)) (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) (/ (+ (neg b_2) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))))) a) (neg b_2) (exp (* (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1)) (* (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1) (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (* (/ b_2 a) -2) (/ b_2 a) (sqrt (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1)))) (+ (* (/ (neg a) b_2) (/ c b_2)) -1) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1484 | 10161 |
| 1 | 4931 | 9772 |
| 0 | 8583 | 9370 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (/ c b_2)) |
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))) |
(* -2 (/ b_2 a)) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) |
(* -1/2 (/ (* a c) b_2)) |
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))) |
(* -1/2 (/ a b_2)) |
(* -1 (pow b_2 2)) |
(+ (* -1 (* a c)) (* -1 (pow b_2 2))) |
(- (* b_2 (sqrt -1)) b_2) |
(- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2) |
(- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2) |
(- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2) |
(/ (- (* b_2 (sqrt -1)) b_2) a) |
(/ (- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2) a) |
(/ (- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2) a) |
(/ (- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2) a) |
(* -1 (log (* -2 (/ b_2 c)))) |
(+ (* -1 (log (* -2 (/ b_2 c)))) (* 1/4 (/ (* a c) (pow b_2 2)))) |
(+ (* -1 (log (* -2 (/ b_2 c)))) (* a (+ (* -1/2 (* a (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) b_2)))) (* 1/4 (/ c (pow b_2 2)))))) |
(+ (* -1 (log (* -2 (/ b_2 c)))) (* a (+ (* 1/4 (/ c (pow b_2 2))) (* a (+ (* -1/2 (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) b_2))) (* -1/6 (* a (+ (* -1/32 (/ (pow c 3) (pow b_2 6))) (+ (* 3/4 (/ (* (pow c 2) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 3))) (* 3 (/ (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5)))))) b_2))))))))))) |
(log (* -2 (/ b_2 c))) |
(+ (log (* -2 (/ b_2 c))) (* -1/4 (/ (* a c) (pow b_2 2)))) |
(+ (log (* -2 (/ b_2 c))) (* a (+ (* -1/4 (/ c (pow b_2 2))) (* 1/2 (* a (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) b_2))))))) |
(+ (log (* -2 (/ b_2 c))) (* a (+ (* -1/4 (/ c (pow b_2 2))) (* a (+ (* 1/6 (* a (+ (* -1/32 (/ (pow c 3) (pow b_2 6))) (+ (* 3/4 (/ (* (pow c 2) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 3))) (* 3 (/ (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5)))))) b_2)))))) (* 1/2 (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) b_2)))))))) |
(* -2 (/ b_2 c)) |
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))) |
(+ (* -2 (/ b_2 c)) (* a (+ (* -1 (* a (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2))))) |
(+ (* -2 (/ b_2 c)) (* a (+ (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5))))))) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2))))) |
(/ b_2 a) |
(* b_2 (sqrt -1)) |
(+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) |
(+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) |
(+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) |
-1 |
(- (* -1 (/ (* a c) (pow b_2 2))) 1) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* 1/2 (/ c b_2)) |
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a))) |
(* -1 (* a c)) |
(* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a))) |
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (log (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) |
(+ (* -1 (log (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1))))) |
(+ (* -1 (log (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (* -1/2 (/ (+ (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))) (pow a 2))))) |
(+ (* -1 (log (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))) (pow a 2))) (* -1/6 (/ (+ (* -6 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1))))))) (+ (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 6 (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))))) (pow a 3)))))) |
(log (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) |
(+ (log (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) |
(+ (log (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))) (pow a 2))) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1))))) |
(+ (log (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* 1/6 (/ (+ (* -6 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1))))))) (+ (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 6 (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))))) (pow a 3))) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))) (pow a 2))) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))) |
(* (sqrt (/ a c)) (/ 1 (sqrt -1))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2))))) |
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (/ (* a c) (pow b_2 2))) |
(* a (- (* -1 (/ c (pow b_2 2))) (/ 1 a))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ c (/ (pow b_2 2) a)))) |
(* -1 (* (sqrt (* a c)) (pow (sqrt -1) 3))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (pow (sqrt -1) 3)) (/ b_2 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))) |
(* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) |
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (pow (sqrt -1) 3))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 4) (sqrt -1))))) a))) a))) |
(* -1 (log (* -1 (* (sqrt (/ a c)) (sqrt -1))))) |
(+ (* -1 (log (* -1 (* (sqrt (/ a c)) (sqrt -1))))) (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))) |
(+ (* -1 (log (* -1 (* (sqrt (/ a c)) (sqrt -1))))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (sqrt -1)))) (* 1/2 (/ (+ (* 2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))))) (/ (* a (pow b_2 2)) c)) a))) a))) |
(+ (* -1 (log (* -1 (* (sqrt (/ a c)) (sqrt -1))))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (+ (* 2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))))) (/ (* a (pow b_2 2)) c))) (* 1/6 (/ (+ (* -6 (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))) (+ (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 3) (sqrt -1)))) (* 6 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/2 (/ (* (pow a 2) (pow b_2 3)) (pow c 2))) (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))))))))))) a))) a))) a))) |
(log (* -1 (* (sqrt (/ a c)) (sqrt -1)))) |
(+ (log (* -1 (* (sqrt (/ a c)) (sqrt -1)))) (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1))))) |
(+ (log (* -1 (* (sqrt (/ a c)) (sqrt -1)))) (* -1 (/ (+ (* -1/2 (/ (+ (* 2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))))) (/ (* a (pow b_2 2)) c)) a)) (* (sqrt (/ a c)) (* b_2 (sqrt -1)))) a))) |
(+ (log (* -1 (* (sqrt (/ a c)) (sqrt -1)))) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* b_2 (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))) (+ (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 3) (sqrt -1)))) (* 6 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/2 (/ (* (pow a 2) (pow b_2 3)) (pow c 2))) (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))))))))))) a)) (* 1/2 (+ (* 2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))))) (/ (* a (pow b_2 2)) c)))) a)) (* (sqrt (/ a c)) (* b_2 (sqrt -1)))) a))) |
(* -1 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) c))) a))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b_2 3)) (pow c 2))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (* -1 (/ (* a b_2) c))) a))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (pow (sqrt -1) 3))))))) |
(* -1 (* a (+ (/ 1 a) (/ c (pow b_2 2))))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2) |
(/ c b_2) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (sqrt -1))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 b_2) |
(+ (* -1 (log (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* -1/2 (* b_2 (- (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (* a (* c (pow (sqrt -1) 2)))))))))) |
(+ (* -1 (log (* (sqrt (/ a c)) (/ 1 (sqrt -1))))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* b_2 (+ (* -1/2 (- (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (* a (* c (pow (sqrt -1) 2)))))) (* -1/6 (* b_2 (+ (* -6 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1))) (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))))))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 6 (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) a))))))))))) |
(+ (log (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* b_2 (+ (* 1/2 (* b_2 (- (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (* a (* c (pow (sqrt -1) 2))))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) |
(+ (log (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* 1/6 (* b_2 (+ (* -6 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1))) (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))))))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 6 (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) a)))))) (* 1/2 (- (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))))) (/ 1 (* a (* c (pow (sqrt -1) 2)))))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) |
(+ (* b_2 (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) |
(+ (* b_2 (+ (* b_2 (- (* -1 (* b_2 (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (sqrt -1))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 2) (sqrt -1))))))))) |
(/ (+ (* -1 (* a c)) (* -1 (pow b_2 2))) (pow b_2 2)) |
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2) |
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2) |
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2) |
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))) |
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2) |
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1)) |
(* b_2 (- (sqrt -1) 1)) |
(* b_2 (- (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))) 1)) |
(* b_2 (- (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))) 1)) |
(* b_2 (- (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))) 1)) |
(/ (* b_2 (- (sqrt -1) 1)) a) |
(* b_2 (- (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)) (/ 1 a))) |
(* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a))) (/ 1 a))) |
(* b_2 (- (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (/ (sqrt -1) a)))) (/ 1 a))) |
(* -1 (+ (log (/ -2 c)) (* -1 (log (/ 1 b_2))))) |
(+ (* -1 (+ (log (/ -2 c)) (* -1 (log (/ 1 b_2))))) (* 1/4 (/ (* a c) (pow b_2 2)))) |
(+ (* -1 (+ (log (/ -2 c)) (* -1 (log (/ 1 b_2))))) (+ (* -1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 12 (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (pow b_2 4))) (* 1/4 (/ (* a c) (pow b_2 2))))) |
(+ (* -1 (+ (log (/ -2 c)) (* -1 (log (/ 1 b_2))))) (+ (* -1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 12 (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (pow b_2 4))) (+ (* -1/720 (/ (+ (* -15/4 (* (pow a 3) (pow c 3))) (+ (* 90 (* a (* (pow c 2) (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 360 (* c (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))))))) (pow b_2 6))) (* 1/4 (/ (* a c) (pow b_2 2)))))) |
(+ (log (/ -2 c)) (* -1 (log (/ 1 b_2)))) |
(+ (log (/ -2 c)) (+ (* -1 (log (/ 1 b_2))) (* -1/4 (/ (* a c) (pow b_2 2))))) |
(+ (log (/ -2 c)) (+ (* -1 (log (/ 1 b_2))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (* 1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 12 (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (pow b_2 4)))))) |
(+ (log (/ -2 c)) (+ (* -1 (log (/ 1 b_2))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (+ (* 1/720 (/ (+ (* -15/4 (* (pow a 3) (pow c 3))) (+ (* 90 (* a (* (pow c 2) (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 360 (* c (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))))))) (pow b_2 6))) (* 1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 12 (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (pow b_2 4))))))) |
(* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))) |
(* b_2 (- (* -1 (/ (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c))) (pow b_2 4))) (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))) |
(* b_2 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))) (pow b_2 6))) (+ (* -1/2 (/ a (pow b_2 2))) (+ (* -1/4 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 4))) (* 2 (/ 1 c))))))) |
(* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))) |
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))) |
(* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a))))))) |
(* -2 b_2) |
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))) |
(* -1 (* b_2 (+ 1 (sqrt -1)))) |
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))) |
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))) |
(* -1 (* b_2 (+ 1 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))))) |
(* -1 (/ (* b_2 (+ 1 (sqrt -1))) a)) |
(* -1 (* b_2 (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a))))) |
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a)))))) |
(* -1 (* b_2 (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 2) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (+ (* 1/2 (/ (* c (sqrt -1)) (pow b_2 2))) (+ (/ 1 a) (/ (sqrt -1) a))))))) |
(* -1 (+ (log (* 1/2 a)) (log (/ -1 b_2)))) |
(+ (* -1 (+ (log (* 1/2 a)) (log (/ -1 b_2)))) (* -1/4 (/ (* a c) (pow b_2 2)))) |
(+ (* -1 (+ (log (* 1/2 a)) (log (/ -1 b_2)))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (* -1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))) (pow b_2 4))))) |
(+ (* -1 (+ (log (* 1/2 a)) (log (/ -1 b_2)))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (+ (* -1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* -1/720 (/ (+ (* -1440 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) a)) (+ (* -45/2 (* (pow a 3) (pow c 3))) (* 15/4 (* (pow a 3) (pow c 3))))) (pow b_2 6)))))) |
(+ (log (* 1/2 a)) (log (/ -1 b_2))) |
(+ (log (* 1/2 a)) (+ (log (/ -1 b_2)) (* 1/4 (/ (* a c) (pow b_2 2))))) |
(+ (log (* 1/2 a)) (+ (log (/ -1 b_2)) (+ (* 1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/4 (/ (* a c) (pow b_2 2)))))) |
(+ (log (* 1/2 a)) (+ (log (/ -1 b_2)) (+ (* 1/720 (/ (+ (* -1440 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) a)) (+ (* -45/2 (* (pow a 3) (pow c 3))) (* 15/4 (* (pow a 3) (pow c 3))))) (pow b_2 6))) (+ (* 1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/4 (/ (* a c) (pow b_2 2))))))) |
(* -1 (/ (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* 1/2 a)) b_2)) |
(* -1 (/ (- (+ (* 1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 a)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 2)))) b_2)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) (pow b_2 6))) (* 1/2 a)) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) b_2)) |
(* -1 (* b_2 (sqrt -1))) |
(* -1 (* b_2 (+ (sqrt -1) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))) |
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2))))))) |
(* -1 (* b_2 (+ (sqrt -1) (+ (* -1/8 (/ (* (pow a 2) (* (pow c 2) (sqrt -1))) (pow b_2 4))) (+ (* 1/16 (/ (* (pow a 3) (* (pow c 3) (sqrt -1))) (pow b_2 6))) (* 1/2 (/ (* a (* c (sqrt -1))) (pow b_2 2)))))))) |
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2)))) |
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5))))))))) |
(- (+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) b_2) |
(- (+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5)))))))) b_2) |
(- (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a)) |
(- (+ (* c (+ (* -1/8 (/ (* a (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (sqrt -1) b_2)))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a)) |
(- (+ (* c (+ (* 1/2 (/ (sqrt -1) b_2)) (* c (+ (* -1/8 (/ (* a (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 5))))))) (/ (* b_2 (sqrt -1)) a)) (/ b_2 a)) |
(* -1 (+ (log (* -2 b_2)) (* -1 (log c)))) |
(+ (* -1 (+ (log (* -2 b_2)) (* -1 (log c)))) (* 1/4 (/ (* a c) (pow b_2 2)))) |
(+ (* -1 (+ (log (* -2 b_2)) (* -1 (log c)))) (* c (+ (* -1/2 (* c (+ (* -1/4 (/ (pow a 2) (pow b_2 4))) (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/8 (/ (pow a 2) (pow b_2 4))))))) (* 1/4 (/ a (pow b_2 2)))))) |
(+ (* -1 (+ (log (* -2 b_2)) (* -1 (log c)))) (* c (+ (* 1/4 (/ a (pow b_2 2))) (* c (+ (* -1/2 (+ (* -1/4 (/ (pow a 2) (pow b_2 4))) (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/8 (/ (pow a 2) (pow b_2 4)))))) (* -1/6 (* c (+ (* -1/32 (/ (pow a 3) (pow b_2 6))) (+ (* 3/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 3))) (* 3 (/ (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 3) (pow b_2 5))))) b_2))))))))))) |
(+ (log (* -2 b_2)) (* -1 (log c))) |
(+ (log (* -2 b_2)) (+ (* -1 (log c)) (* -1/4 (/ (* a c) (pow b_2 2))))) |
(+ (log (* -2 b_2)) (+ (* -1 (log c)) (* c (+ (* -1/4 (/ a (pow b_2 2))) (* 1/2 (* c (+ (* -1/4 (/ (pow a 2) (pow b_2 4))) (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/8 (/ (pow a 2) (pow b_2 4))))))))))) |
(+ (log (* -2 b_2)) (+ (* -1 (log c)) (* c (+ (* -1/4 (/ a (pow b_2 2))) (* c (+ (* 1/6 (* c (+ (* -1/32 (/ (pow a 3) (pow b_2 6))) (+ (* 3/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 3))) (* 3 (/ (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 3) (pow b_2 5))))) b_2)))))) (* 1/2 (+ (* -1/4 (/ (pow a 2) (pow b_2 4))) (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/8 (/ (pow a 2) (pow b_2 4)))))))))))) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c) |
(/ (+ (* -2 b_2) (* c (- (* -1 (* c (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c) |
(/ (+ (* -2 b_2) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 3) (pow b_2 5))))))) (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c) |
(+ (* b_2 (sqrt -1)) (* c (+ (* -1/8 (/ (* (pow a 2) (* c (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* a (sqrt -1)) b_2))))) |
(+ (* b_2 (sqrt -1)) (* c (+ (* 1/2 (/ (* a (sqrt -1)) b_2)) (* c (+ (* -1/8 (/ (* (pow a 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* (pow a 3) (* c (sqrt -1))) (pow b_2 5)))))))) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c))) |
(* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (log (/ 1 c)))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (* -1 (+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (log (/ 1 c))))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (+ (* -1 (+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (log (/ 1 c)))) (* -1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2))))) (pow c 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (+ (* -1 (+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (log (/ 1 c)))) (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2))))) (pow c 2))) (* -1/6 (/ (+ (* -6 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1))))))) (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 6 (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) a)))) (pow c 3)))))) |
(+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (log (/ 1 c))) |
(+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (log (/ 1 c)) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1))))) |
(+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (log (/ 1 c)) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2))))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))) |
(+ (log (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (log (/ 1 c)) (+ (* 1/6 (/ (+ (* -6 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1))))))) (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 6 (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) a)))) (pow c 3))) (+ (* 1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))))) (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2))))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1))))))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) c) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* c (- (* -1 (/ a (pow b_2 2))) (/ 1 c))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ a (/ (pow b_2 2) c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (pow (sqrt -1) 3)) (/ b_2 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3)) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (pow (sqrt -1) 3))))) |
(* -1 (+ (log (* (sqrt (* a c)) (sqrt -1))) (log (/ -1 c)))) |
(+ (* -1 (+ (log (* (sqrt (* a c)) (sqrt -1))) (log (/ -1 c)))) (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))) |
(+ (* -1 (+ (log (* (sqrt (* a c)) (sqrt -1))) (log (/ -1 c)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) (* 1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))) (/ (* (pow b_2 2) c) a)) c))) c))) |
(+ (* -1 (+ (log (* (sqrt (* a c)) (sqrt -1))) (log (/ -1 c)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) (* -1 (/ (+ (* -1/2 (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))) (/ (* (pow b_2 2) c) a))) (* 1/6 (/ (+ (* -6 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) a)) (* (sqrt (/ c a)) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))))))) (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1)))) (* 6 (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) a)))) c))) c))) c))) |
(+ (log (* (sqrt (* a c)) (sqrt -1))) (log (/ -1 c))) |
(+ (log (* (sqrt (* a c)) (sqrt -1))) (+ (log (/ -1 c)) (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))))) |
(+ (log (* (sqrt (* a c)) (sqrt -1))) (+ (log (/ -1 c)) (* -1 (/ (+ (* -1/2 (/ (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))) (/ (* (pow b_2 2) c) a)) c)) (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) c)))) |
(+ (log (* (sqrt (* a c)) (sqrt -1))) (+ (log (/ -1 c)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -6 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) a)) (* (sqrt (/ c a)) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))))))) (+ (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1)))) (* 6 (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) a)))) c)) (* 1/2 (+ (* -2 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))))) (/ (* (pow b_2 2) c) a)))) c)) (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) c)))) |
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b_2 3) c) a)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c)) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))) |
(* -1 (* c (+ (/ 1 c) (/ a (pow b_2 2))))) |
| Outputs |
|---|
(* -1/2 (/ c b_2)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) |
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
(* -2 (/ b_2 a)) |
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) |
(/.f64 (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)) a) |
(* -1/2 (/ (* a c) b_2)) |
(*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)) |
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a) |
(* -1/2 (/ a b_2)) |
(*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) |
(* -1 (pow b_2 2)) |
(*.f64 (neg.f64 b_2) b_2) |
(+ (* -1 (* a c)) (* -1 (pow b_2 2))) |
(neg.f64 (fma.f64 b_2 b_2 (*.f64 c a))) |
(- (* b_2 (sqrt -1)) b_2) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) |
(- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2) |
(fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) |
(- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) |
(- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) a (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) |
(/ (- (* b_2 (sqrt -1)) b_2) a) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2) a) |
(/ (- (+ (* 1/2 (/ (* a (* c (sqrt -1))) b_2)) (* b_2 (sqrt -1))) b_2) a) |
(/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) a) b_2) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) a) |
(/ (- (+ (* a (+ (* -1/8 (/ (* a (* (pow c 2) (sqrt -1))) (pow b_2 3))) (* 1/2 (/ (* c (sqrt -1)) b_2)))) (* b_2 (sqrt -1))) b_2) a) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 c c) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) a) |
(/ (- (+ (* a (+ (* 1/2 (/ (* c (sqrt -1)) b_2)) (* a (+ (* -1/8 (/ (* (pow c 2) (sqrt -1)) (pow b_2 3))) (* 1/16 (/ (* a (* (pow c 3) (sqrt -1))) (pow b_2 5))))))) (* b_2 (sqrt -1))) b_2) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal 1/16 binary64) (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64))) a (*.f64 (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) c) b_2) #s(literal 1/2 binary64))) a (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) b_2)) a) |
(* -1 (log (* -2 (/ b_2 c)))) |
(neg.f64 (log.f64 (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))) |
(+ (* -1 (log (* -2 (/ b_2 c)))) (* 1/4 (/ (* a c) (pow b_2 2)))) |
(fma.f64 (*.f64 (/.f64 a b_2) (/.f64 c b_2)) #s(literal 1/4 binary64) (neg.f64 (log.f64 (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))))) |
(+ (* -1 (log (* -2 (/ b_2 c)))) (* a (+ (* -1/2 (* a (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) b_2)))) (* 1/4 (/ c (pow b_2 2)))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) b_2) (/.f64 c b_2) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) c) b_2)))) a (neg.f64 (log.f64 (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))))) |
(+ (* -1 (log (* -2 (/ b_2 c)))) (* a (+ (* 1/4 (/ c (pow b_2 2))) (* a (+ (* -1/2 (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) b_2))) (* -1/6 (* a (+ (* -1/32 (/ (pow c 3) (pow b_2 6))) (+ (* 3/4 (/ (* (pow c 2) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 3))) (* 3 (/ (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5)))))) b_2))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (fma.f64 (*.f64 c (/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2) c) (fma.f64 (/.f64 #s(literal -1/4 binary64) b_2) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) c) b_2) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 5 binary64))))) b_2)) #s(literal 3 binary64) (fma.f64 (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal 3/4 binary64) (/.f64 (*.f64 #s(literal -1/32 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))))) (*.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) c) b_2)) #s(literal -1/2 binary64))) a (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal 1/4 binary64))) a (neg.f64 (log.f64 (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))))) |
(log (* -2 (/ b_2 c))) |
(log.f64 (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))) |
(+ (log (* -2 (/ b_2 c))) (* -1/4 (/ (* a c) (pow b_2 2)))) |
(fma.f64 (/.f64 #s(literal -1/4 binary64) b_2) (*.f64 a (/.f64 c b_2)) (log.f64 (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))) |
(+ (log (* -2 (/ b_2 c))) (* a (+ (* -1/4 (/ c (pow b_2 2))) (* 1/2 (* a (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) b_2))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -1/4 binary64) b_2) (/.f64 c b_2) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) c) b_2)))) a (log.f64 (*.f64 (/.f64 b_2 c) #s(literal -2 binary64)))) |
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(/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64) (*.f64 (neg.f64 b_2) c)) (neg.f64 c))) (neg.f64 c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b_2 3) c) a)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c)) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) b_2) (*.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -1 binary64))) (fma.f64 (/.f64 (*.f64 (pow.f64 b_2 #s(literal 3 binary64)) c) a) #s(literal 1/2 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))))) (neg.f64 c)) (*.f64 c b_2)) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (pow (sqrt -1) 3))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1 binary64)))))) (neg.f64 c)) |
(* -1 (* c (+ (/ 1 c) (/ a (pow b_2 2))))) |
(neg.f64 (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 a (*.f64 b_2 b_2)) c))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 424 |
| 0 | 81 | 422 |
| 1 | 301 | 372 |
| 2 | 2219 | 371 |
| 0 | 8746 | 364 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) |
#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))) |
(/.f64 c b_2) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) |
#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2))) |
(*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a) |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) |
(*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c) |
(*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) |
(*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2)) |
(+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2))))) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2))))) a) |
(neg.f64 b_2) |
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64)) |
(log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) |
(/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) |
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) |
(/.f64 b_2 a) |
(sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2)))) |
(fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))))) |
#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 2 binary64))) (pow.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b_2 a))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 b_2 c) #s(literal -3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b_2 a))) (-.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))) (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 b_2 c) #s(literal -3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64)))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 2 binary64)) (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b_2 a)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 b_2 c) #s(literal -3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) c) a (*.f64 b_2 (*.f64 #s(literal -2 binary64) b_2)))) (neg.f64 (*.f64 b_2 a))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) b_2) b_2 (*.f64 a (*.f64 #s(literal 1/2 binary64) c)))) (neg.f64 (*.f64 a b_2))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) #s(literal 2 binary64)) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b_2 a)))) (*.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b_2 a))) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 2 binary64)))) (*.f64 (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b_2 a))) (fma.f64 (/.f64 c b_2) #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b_2 a))))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (*.f64 a #s(literal 1/2 binary64)) (*.f64 (neg.f64 b_2) (*.f64 #s(literal 1 binary64) (neg.f64 b_2)))) (*.f64 (neg.f64 b_2) (*.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) a (*.f64 (neg.f64 b_2) (*.f64 #s(literal 2 binary64) (neg.f64 b_2)))) (*.f64 (neg.f64 b_2) a)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) (neg.f64 b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (*.f64 a #s(literal 1/2 binary64)) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal 1 binary64)))) (*.f64 (neg.f64 b_2) (*.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal -2 binary64)))) (*.f64 (neg.f64 b_2) (neg.f64 a))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) a (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal 2 binary64)))) (*.f64 (neg.f64 b_2) a)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (neg.f64 a) (*.f64 (neg.f64 b_2) (neg.f64 (*.f64 #s(literal -2 binary64) b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) (*.f64 (neg.f64 b_2) #s(literal 1 binary64))) (*.f64 (neg.f64 b_2) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) a (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 (neg.f64 b_2) a)) |
(/.f64 (fma.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (/.f64 a b_2) (*.f64 (neg.f64 b_2) #s(literal -2 binary64))) (*.f64 (neg.f64 b_2) (/.f64 a b_2))) |
(/.f64 (fma.f64 (*.f64 (neg.f64 c) #s(literal 1/2 binary64)) (*.f64 a #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (*.f64 (neg.f64 b_2) (*.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) (*.f64 a #s(literal 1/2 binary64)) (*.f64 (neg.f64 b_2) (*.f64 #s(literal 1 binary64) (neg.f64 b_2)))) (*.f64 (neg.f64 b_2) (*.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) a (*.f64 (neg.f64 b_2) (*.f64 #s(literal 2 binary64) (neg.f64 b_2)))) (*.f64 (neg.f64 b_2) a)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) (neg.f64 b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) (*.f64 a #s(literal 1/2 binary64)) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal 1 binary64)))) (*.f64 (neg.f64 b_2) (*.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal -2 binary64)))) (*.f64 (neg.f64 b_2) (neg.f64 a))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) a (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal 2 binary64)))) (*.f64 (neg.f64 b_2) a)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) (neg.f64 a) (*.f64 (neg.f64 b_2) (neg.f64 (*.f64 #s(literal -2 binary64) b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) (*.f64 (neg.f64 b_2) #s(literal 1 binary64))) (*.f64 (neg.f64 b_2) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) a (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 (neg.f64 b_2) a)) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) (/.f64 a b_2) (*.f64 (neg.f64 b_2) #s(literal -2 binary64))) (*.f64 (neg.f64 b_2) (/.f64 a b_2))) |
(/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (neg.f64 c)) (*.f64 a #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (*.f64 (neg.f64 b_2) (*.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (*.f64 a #s(literal 1/2 binary64)) (*.f64 (neg.f64 b_2) (*.f64 #s(literal 1 binary64) (neg.f64 b_2)))) (*.f64 (neg.f64 b_2) (*.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) a (*.f64 (neg.f64 b_2) (*.f64 #s(literal 2 binary64) (neg.f64 b_2)))) (*.f64 (neg.f64 b_2) a)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) (neg.f64 b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (*.f64 a #s(literal 1/2 binary64)) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal 1 binary64)))) (*.f64 (neg.f64 b_2) (*.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 a) (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal -2 binary64)))) (*.f64 (neg.f64 b_2) (neg.f64 a))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) a (*.f64 (neg.f64 b_2) (*.f64 (neg.f64 b_2) #s(literal 2 binary64)))) (*.f64 (neg.f64 b_2) a)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 a) (*.f64 (neg.f64 b_2) (neg.f64 (*.f64 #s(literal -2 binary64) b_2)))) (*.f64 (neg.f64 b_2) (neg.f64 a))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) (*.f64 (neg.f64 b_2) #s(literal 1 binary64))) (*.f64 (neg.f64 b_2) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) a (*.f64 (neg.f64 b_2) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 (neg.f64 b_2) a)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (/.f64 a b_2) (*.f64 (neg.f64 b_2) #s(literal -2 binary64))) (*.f64 (neg.f64 b_2) (/.f64 a b_2))) |
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(+.f64 (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 b_2 a))) |
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#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) a)) |
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(/.f64 (neg.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a))) (neg.f64 b_2)) |
(/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) c) b_2) |
(/.f64 (*.f64 c (*.f64 #s(literal -1/2 binary64) a)) b_2) |
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(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) a) |
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(*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) |
(pow.f64 (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) a)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) a)) (neg.f64 (neg.f64 b_2))) |
(/.f64 (neg.f64 (*.f64 a #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) b_2))) |
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(/.f64 (*.f64 #s(literal 1/2 binary64) a) (neg.f64 b_2)) |
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(/.f64 (neg.f64 (*.f64 a #s(literal 1/2 binary64))) (neg.f64 (neg.f64 b_2))) |
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(/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2) |
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(log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) |
(*.f64 (pow.f64 (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64)) (pow.f64 (pow.f64 a #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64)) a) |
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(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 a) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) |
(*.f64 (neg.f64 a) (pow.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #s(literal -1 binary64))) |
(*.f64 a (exp.f64 (neg.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))) |
(*.f64 a (pow.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))) |
(pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #s(literal 1 binary64)) |
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(/.f64 (*.f64 a #s(literal 1 binary64)) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)) |
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(/.f64 (neg.f64 a) (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) |
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(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)) #s(literal -1 binary64))) |
(exp.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))) |
(*.f64 (*.f64 (/.f64 #s(literal 2 binary64) a) #s(literal -1 binary64)) b_2) |
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(*.f64 #s(literal -1 binary64) (*.f64 b_2 (/.f64 #s(literal 2 binary64) a))) |
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) |
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(*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) |
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(/.f64 (neg.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b_2))) (neg.f64 a)) |
(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) (neg.f64 b_2))) a) |
(/.f64 (neg.f64 (*.f64 (neg.f64 b_2) #s(literal 1 binary64))) (neg.f64 (*.f64 a #s(literal 1/2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 b_2) #s(literal -2 binary64))) a) |
(/.f64 (neg.f64 (*.f64 (neg.f64 b_2) #s(literal 2 binary64))) (neg.f64 a)) |
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(/.f64 (*.f64 #s(literal 2 binary64) (neg.f64 b_2)) a) |
(/.f64 (*.f64 #s(literal -2 binary64) (neg.f64 b_2)) (neg.f64 a)) |
(/.f64 (*.f64 (neg.f64 b_2) #s(literal 1 binary64)) (*.f64 a #s(literal 1/2 binary64))) |
(/.f64 (*.f64 (neg.f64 b_2) #s(literal -2 binary64)) (neg.f64 a)) |
(/.f64 (*.f64 (neg.f64 b_2) #s(literal 2 binary64)) a) |
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(/.f64 (neg.f64 (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 a)) |
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(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
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(/.f64 (neg.f64 b_2) (*.f64 a #s(literal 1/2 binary64))) |
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(*.f64 (pow.f64 a #s(literal -1 binary64)) b_2) |
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(pow.f64 (/.f64 (/.f64 a b_2) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 a b_2) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 b_2 #s(literal 1 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (/.f64 b_2 #s(literal 1 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 b_2))) (neg.f64 a)) |
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(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b_2)) (*.f64 a a)) |
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(pow.f64 (pow.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) b_2) b_2)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) b_2) b_2))) #s(literal 1 binary64)) |
(pow.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) b_2) b_2)) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) b_2) b_2))) |
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(exp.f64 (log.f64 (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) b_2) b_2))))) |
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(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 a) b_2) (*.f64 (/.f64 c b_2) #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 a) c) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))) (neg.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 a) c) (pow.f64 b_2 #s(literal -2 binary64)))))) |
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(/.f64 (-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1 binary64)) (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal 1 binary64))) |
(/.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 a) c) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (pow.f64 (*.f64 (/.f64 (neg.f64 a) b_2) c) #s(literal 2 binary64)) (*.f64 (*.f64 (neg.f64 a) c) #s(literal -1 binary64))) (*.f64 b_2 b_2)))) |
(/.f64 (+.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 a) c) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 a) b_2) (*.f64 (/.f64 c b_2) #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal 1 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 a) b_2) (*.f64 (/.f64 c b_2) #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 a) c) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal 1 binary64)) (-.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (neg.f64 a) b_2) (*.f64 (/.f64 c b_2) #s(literal -1 binary64)))) (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64)))) (+.f64 (/.f64 (pow.f64 (*.f64 (neg.f64 a) c) #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal -1 binary64))))) |
(fma.f64 (*.f64 (/.f64 (neg.f64 a) b_2) c) (pow.f64 b_2 #s(literal -1 binary64)) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (neg.f64 a) c) (pow.f64 b_2 #s(literal -2 binary64)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) |
(fma.f64 (neg.f64 a) (/.f64 c (*.f64 b_2 b_2)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 c b_2) (/.f64 (neg.f64 a) b_2) #s(literal -1 binary64)) |
(fma.f64 c (pow.f64 (*.f64 b_2 (/.f64 (neg.f64 b_2) a)) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b_2 #s(literal 4 binary64))) (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal 1 binary64))) (pow.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 (neg.f64 a) c) (pow.f64 b_2 #s(literal -2 binary64))) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 a) c) (pow.f64 b_2 #s(literal -2 binary64)))) |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) |
(exp.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) |
Compiled 41 330 to 4 230 computations (89.8% saved)
31 alts after pruning (24 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 837 | 14 | 851 |
| Fresh | 6 | 10 | 16 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 845 | 31 | 876 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 18.6% | (pow.f64 (*.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1/2 binary64)) |
| 9.1% | (/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) b_2) b_2))) (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) b_2) b_2)))))) | |
| 11.0% | (/.f64 (-.f64 (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) b_2) b_2))) b_2) a) | |
| ✓ | 55.8% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 8.2% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 #s(approx (pow (+ (* c a) (* b_2 b_2)) 2) (*.f64 (fma.f64 c c (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) c) (*.f64 b_2 b_2) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (neg.f64 a))) (neg.f64 a))) (*.f64 a a))) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) a) | |
| 31.6% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a) | |
| 22.7% | (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (*.f64 c a))) a) | |
| ✓ | 22.4% | (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) |
| ✓ | 22.4% | (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a) |
| ✓ | 40.9% | (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
| 11.0% | (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) b_2) b_2))) b_2))) | |
| 40.8% | (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) | |
| 20.3% | (*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 a)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))) | |
| 11.0% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) b_2) b_2))) b_2)) (/.f64 #s(literal -1 binary64) a)) | |
| ▶ | 20.2% | (exp.f64 (-.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (log.f64 a))) |
| 17.4% | (exp.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #s(literal 2 binary64))) (log.f64 (*.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))) #s(literal -1 binary64))) | |
| 21.3% | (exp.f64 (log.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))) | |
| 12.8% | (exp.f64 #s(approx (* (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1) (neg.f64 (+.f64 (log.f64 b_2) (log.f64 (/.f64 #s(literal -2 binary64) c)))))) | |
| 27.6% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 c c) a) b_2) (*.f64 #s(literal -1/2 binary64) c)) b_2)) | |
| 29.4% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))) | |
| 1.3% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 #s(literal 0 binary64) (neg.f64 b_2))))) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) | |
| ✓ | 30.0% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
| ▶ | 40.8% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)))) |
| 14.7% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal -1/2 binary64))) | |
| ▶ | 30.0% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
| ✓ | 41.0% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) |
| ▶ | 27.5% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2))) |
| 13.1% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 b_2 c) #s(literal -3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))))) | |
| 8.7% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c)))) | |
| ✓ | 8.6% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) |
| 3.9% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))))) |
Compiled 1 816 to 1 152 computations (36.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) | |
| cost-diff | 0 | (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) | |
| cost-diff | 0 | (-.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (log.f64 a)) | |
| cost-diff | 18688 | (exp.f64 (-.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (log.f64 a))) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) b_2) | |
| cost-diff | 0 | #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) | |
| cost-diff | 0 | (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) | |
| cost-diff | 0 | (pow.f64 (*.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2) | |
| cost-diff | 0 | #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2))) | |
| cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) b_2) | |
| cost-diff | 0 | (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) | |
| cost-diff | 0 | #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (neg.f64 b_2) | |
| cost-diff | 0 | (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 398 |
| 0 | 63 | 398 |
| 1 | 111 | 382 |
| 2 | 208 | 380 |
| 3 | 465 | 380 |
| 4 | 998 | 352 |
| 5 | 1788 | 352 |
| 6 | 3177 | 346 |
| 7 | 4917 | 346 |
| 8 | 6055 | 346 |
| 9 | 7143 | 346 |
| 10 | 7730 | 346 |
| 11 | 7999 | 346 |
| 0 | 8007 | 341 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)))) |
(*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))) |
(neg.f64 b_2) |
b_2 |
#s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
c |
(/.f64 #s(literal -1/2 binary64) b_2) |
#s(literal -1/2 binary64) |
b_2 |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2))) |
#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2) |
(fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) |
(/.f64 (*.f64 b_2 b_2) a) |
(*.f64 b_2 b_2) |
b_2 |
a |
#s(literal -2 binary64) |
(*.f64 #s(literal 1/2 binary64) c) |
#s(literal 1/2 binary64) |
c |
(pow.f64 (*.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) |
(/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) |
a |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) |
(*.f64 #s(literal -2 binary64) b_2) |
#s(literal -2 binary64) |
b_2 |
#s(literal -1/2 binary64) |
(exp.f64 (-.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (log.f64 a))) |
(-.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (log.f64 a)) |
(log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) |
(*.f64 #s(literal -2 binary64) b_2) |
#s(literal -2 binary64) |
b_2 |
(log.f64 a) |
a |
| Outputs |
|---|
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2))) |
(*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))) |
(*.f64 #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)) |
(neg.f64 b_2) |
b_2 |
#s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) |
c |
(/.f64 #s(literal -1/2 binary64) b_2) |
#s(literal -1/2 binary64) |
b_2 |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 b_2 b_2) a) (*.f64 #s(literal 1/2 binary64) c)) b_2))) |
#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)) |
#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 b_2 b_2) a) (*.f64 #s(literal 1/2 binary64) c)) b_2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2) |
(/.f64 (fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 b_2 b_2) a) (*.f64 #s(literal 1/2 binary64) c)) b_2) |
(fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) |
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 b_2 b_2) a) (*.f64 #s(literal 1/2 binary64) c)) |
(/.f64 (*.f64 b_2 b_2) a) |
(*.f64 b_2 b_2) |
b_2 |
a |
#s(literal -2 binary64) |
(*.f64 #s(literal 1/2 binary64) c) |
#s(literal 1/2 binary64) |
c |
(pow.f64 (*.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal -2 binary64)) #s(literal -1/2 binary64)) |
(*.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) |
(pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal -2 binary64)) |
(/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) |
a |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) |
(*.f64 #s(literal -2 binary64) b_2) |
#s(literal -2 binary64) |
b_2 |
#s(literal -1/2 binary64) |
(exp.f64 (-.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (log.f64 a))) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
(-.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (log.f64 a)) |
(log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) |
(*.f64 #s(literal -2 binary64) b_2) |
#s(literal -2 binary64) |
b_2 |
(log.f64 a) |
a |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.30690895667318185 | (-.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (log.f64 a)) | |
| accuracy | 1.2145612598485505 | (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) | |
| accuracy | 1.9054370178969975 | (exp.f64 (-.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (log.f64 a))) | |
| accuracy | 14.928364617446103 | #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) | |
| accuracy | 0.14453125 | (*.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) | |
| accuracy | 0.27364907900802976 | (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) | |
| accuracy | 6.810420512743569 | (pow.f64 (*.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1/2 binary64)) | |
| accuracy | 14.928364617446103 | #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) | |
| accuracy | 0.00390625 | (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) | |
| accuracy | 3.324923840299125 | (/.f64 (*.f64 b_2 b_2) a) | |
| accuracy | 3.542567007502047 | (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2) | |
| accuracy | 14.85293544571606 | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2))) | |
| accuracy | 0.0 | (/.f64 #s(literal -1/2 binary64) b_2) | |
| accuracy | 0.10546875 | (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) | |
| accuracy | 23.665201767656683 | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) | |
| accuracy | 0.0 | (neg.f64 b_2) | |
| accuracy | 3.635823423506104 | (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))) | |
| accuracy | 10.342553400643784 | #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) | |
| accuracy | 14.85293544571606 | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)))) |
| 68.0ms | 140× | 0 | invalid |
| 30.0ms | 98× | 0 | valid |
| 10.0ms | 18× | 1 | valid |
Compiled 686 to 83 computations (87.9% saved)
ival-add: 26.0ms (34.8% of total)ival-mult: 14.0ms (18.8% of total)ival-div: 13.0ms (17.4% of total)ival-log: 6.0ms (8% of total)ival-pow: 5.0ms (6.7% of total)ival-sub: 3.0ms (4% of total)ival-sqrt: 2.0ms (2.7% of total)ival-exp: 2.0ms (2.7% of total)adjust: 1.0ms (1.3% of total)ival-neg: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)))) |
(*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))) |
(neg.f64 b_2) |
#s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
(/.f64 #s(literal -1/2 binary64) b_2) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2))) |
#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2) |
(fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) |
(pow.f64 (*.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1/2 binary64)) |
(/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) |
(*.f64 #s(literal -2 binary64) b_2) |
(exp.f64 (-.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (log.f64 a))) |
(-.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (log.f64 a)) |
(log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) |
(/.f64 (*.f64 b_2 b_2) a) |
(*.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) |
| Outputs |
|---|
(* -1/2 (/ c b_2)) |
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))) |
(* -2 (/ b_2 a)) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) |
(/ 2 a) |
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a) |
(* -2 (/ (pow b_2 2) a)) |
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) a) |
(* -2 (/ b_2 c)) |
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))) |
(+ (* -2 (/ b_2 c)) (* a (+ (* -1 (* a (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2))))) |
(+ (* -2 (/ b_2 c)) (* a (+ (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5))))))) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2))))) |
(* -1/2 (/ (* a c) b_2)) |
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (* a (* c (+ (* 1/32 (/ (pow c 2) (pow b_2 4))) (* 1/2 (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (* 1/4 (/ (pow c 2) (pow b_2 4)))))))) b_2)) (* -1/8 (/ (pow c 2) (pow b_2 3)))))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (* c (+ (* 1/384 (/ (pow c 3) (pow b_2 6))) (+ (* 1/8 (/ (* c (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (* 1/4 (/ (pow c 2) (pow b_2 4))))) (pow b_2 2))) (* 1/6 (+ (* -3/16 (/ (pow c 3) (pow b_2 6))) (+ (* 1/32 (/ (pow c 3) (pow b_2 6))) (* 6 (/ (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6)))) c))))))))) b_2)) (* -1/2 (/ (* c (+ (* 1/32 (/ (pow c 2) (pow b_2 4))) (* 1/2 (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (* 1/4 (/ (pow c 2) (pow b_2 4))))))) b_2))))))) |
(log (* -1/2 (/ c b_2))) |
(+ (log (* -1/2 (/ c b_2))) (* 1/4 (/ (* a c) (pow b_2 2)))) |
(+ (log (* -1/2 (/ c b_2))) (* a (+ (* 1/4 (/ c (pow b_2 2))) (* 1/2 (* a (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (* 1/4 (/ (pow c 2) (pow b_2 4))))))))) |
(+ (log (* -1/2 (/ c b_2))) (* a (+ (* 1/4 (/ c (pow b_2 2))) (* a (+ (* 1/6 (* a (+ (* -3/16 (/ (pow c 3) (pow b_2 6))) (+ (* 1/32 (/ (pow c 3) (pow b_2 6))) (* 6 (/ (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6)))) c)))))) (* 1/2 (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (* 1/4 (/ (pow c 2) (pow b_2 4)))))))))) |
(+ (log a) (log (* -1/2 (/ c b_2)))) |
(+ (log a) (+ (log (* -1/2 (/ c b_2))) (* 1/4 (/ (* a c) (pow b_2 2))))) |
(+ (log a) (+ (log (* -1/2 (/ c b_2))) (* a (+ (* 1/4 (/ c (pow b_2 2))) (* 1/2 (* a (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (* 1/4 (/ (pow c 2) (pow b_2 4)))))))))) |
(+ (log a) (+ (log (* -1/2 (/ c b_2))) (* a (+ (* 1/4 (/ c (pow b_2 2))) (* a (+ (* 1/6 (* a (+ (* -3/16 (/ (pow c 3) (pow b_2 6))) (+ (* 1/32 (/ (pow c 3) (pow b_2 6))) (* 6 (/ (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6)))) c)))))) (* 1/2 (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (* 1/4 (/ (pow c 2) (pow b_2 4))))))))))) |
(/ (pow b_2 2) a) |
(* 4 (/ (pow b_2 2) (pow c 2))) |
(+ (* -2 (/ a c)) (* 4 (/ (pow b_2 2) (pow c 2)))) |
(+ (* 4 (/ (pow b_2 2) (pow c 2))) (* a (- (* a (- (/ 1 (pow b_2 2)) (* 16 (/ (* (pow b_2 4) (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 4))))) (* 2 (/ 1 c))))) |
(+ (* 4 (/ (pow b_2 2) (pow c 2))) (* a (- (* a (- (+ (* -1 (* a (+ (* -8 (/ (* (pow b_2 2) (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 3))) (+ (* 1/2 (/ (* c (- (/ 1 (pow b_2 2)) (* 16 (/ (* (pow b_2 4) (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 4))))) (pow b_2 2))) (* 16 (/ (* (pow b_2 4) (+ (* 1/64 (/ (pow c 5) (pow b_2 8))) (* 1/2 (/ (* c (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow b_2 2))))) (pow c 4))))))) (/ 1 (pow b_2 2))) (* 16 (/ (* (pow b_2 4) (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 4))))) (* 2 (/ 1 c))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* 1/2 (/ c b_2)) |
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))) |
(* -1/2 (/ c (pow b_2 2))) |
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))) |
(* 1/2 c) |
(+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) |
(* (sqrt (/ a c)) (/ 1 (sqrt -1))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2))))) |
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a))) |
(+ (* -1 (/ b_2 a)) (+ (* (sqrt (/ c a)) (sqrt -1)) (* (sqrt (/ c (pow a 5))) (* (sqrt -1) (+ (* 1/2 (+ (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))) (* 1/2 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))))))) |
(+ (* -1 (/ b_2 a)) (+ (* (sqrt (/ c a)) (sqrt -1)) (+ (* (sqrt (/ c (pow a 5))) (* (sqrt -1) (+ (* 1/2 (+ (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))) (* 1/2 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))))) (* (sqrt (/ c (pow a 7))) (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))) (sqrt -1)))) (+ (* -1/6 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 1/6 (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 3))))))))))))) |
(log (* (sqrt (/ c a)) (sqrt -1))) |
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1))))) |
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (* 1/2 (/ (+ (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (pow a 2))))) |
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (+ (* 1/6 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 3))))) (pow a 3))) (* 1/2 (/ (+ (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (pow a 2)))))) |
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (* -1 (log (/ 1 a)))) |
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (log (/ 1 a))) (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))) |
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (log (/ 1 a))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (* 1/2 (/ (+ (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (pow a 2)))))) |
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (log (/ 1 a))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (+ (* 1/6 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 3))))) (pow a 3))) (* 1/2 (/ (+ (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (pow a 2))))))) |
(/ a (* c (pow (sqrt -1) 2))) |
(+ (* 2 (* (sqrt (/ a (pow c 3))) (/ b_2 (pow (sqrt -1) 3)))) (/ a (* c (pow (sqrt -1) 2)))) |
(- (+ (* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow b_2 2)) (* (pow c 2) (pow (sqrt -1) 4)))) (* 2 (/ (* (pow a 2) (pow b_2 2)) (* (pow c 2) (pow (sqrt -1) 4))))) (pow a 2))) (/ a (* c (pow (sqrt -1) 2)))) (* -2 (* (sqrt (/ a (pow c 3))) (/ b_2 (pow (sqrt -1) 3))))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 5) (pow c 5))) (/ (pow b_2 3) (pow (sqrt -1) 5)))) (+ (* 2 (* (sqrt (/ a c)) (/ (* b_2 (+ (* -4 (/ (* (pow a 2) (pow b_2 2)) (* (pow c 2) (pow (sqrt -1) 4)))) (* 2 (/ (* (pow a 2) (pow b_2 2)) (* (pow c 2) (pow (sqrt -1) 4)))))) (sqrt -1)))) (* 4 (* (sqrt (/ (pow a 5) (pow c 5))) (/ (pow b_2 3) (pow (sqrt -1) 5)))))) (pow a 3))) (/ a (* c (pow (sqrt -1) 2)))) (+ (* -4 (/ (pow b_2 2) (* (pow c 2) (pow (sqrt -1) 4)))) (+ (* -2 (* (sqrt (/ a (pow c 3))) (/ b_2 (pow (sqrt -1) 3)))) (* 2 (/ (pow b_2 2) (* (pow c 2) (pow (sqrt -1) 4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a))) |
(+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)) |
(+ (* -1 (/ (+ (* -1 b_2) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 b_2) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) c))) a))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b_2 3)) (pow c 2))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (* -1 (/ (* a b_2) c))) a))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(exp (- (log (* (sqrt (/ c a)) (sqrt -1))) (log -1))) |
(+ (exp (- (log (* (sqrt (/ c a)) (sqrt -1))) (log -1))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (exp (- (log (* (sqrt (/ c a)) (sqrt -1))) (log -1))) (sqrt -1))))) |
(+ (exp (- (log (* (sqrt (/ c a)) (sqrt -1))) (log -1))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (* (exp (- (log (* (sqrt (/ c a)) (sqrt -1))) (log -1))) (sqrt -1))))) (* -1 (/ (* (exp (- (log (* (sqrt (/ c a)) (sqrt -1))) (log -1))) (+ (* -1/2 (/ (* a (pow b_2 2)) c)) (* 1/2 (+ (* -1 (/ (* a (pow b_2 2)) c)) (/ (* a (pow b_2 2)) c))))) a))) a))) |
(+ (exp (- (log (* (sqrt (/ c a)) (sqrt -1))) (log -1))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (* (exp (- (log (* (sqrt (/ c a)) (sqrt -1))) (log -1))) (sqrt -1))))) (* -1 (/ (+ (* -1 (/ (* (exp (- (log (* (sqrt (/ c a)) (sqrt -1))) (log -1))) (+ (* -1/2 (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (+ (* -1 (/ (* a (pow b_2 2)) c)) (/ (* a (pow b_2 2)) c)))))) (+ (* -1/6 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 3) (sqrt -1)))) (* 1/6 (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 3) (sqrt -1)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 3) (sqrt -1))))))))) a)) (* (exp (- (log (* (sqrt (/ c a)) (sqrt -1))) (log -1))) (+ (* -1/2 (/ (* a (pow b_2 2)) c)) (* 1/2 (+ (* -1 (/ (* a (pow b_2 2)) c)) (/ (* a (pow b_2 2)) c)))))) a))) a))) |
(- (log (* (sqrt (/ c a)) (sqrt -1))) (log -1)) |
(- (+ (log (* (sqrt (/ c a)) (sqrt -1))) (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))) (log -1)) |
(- (+ (log (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (sqrt -1)))) (* -1/2 (/ (+ (* -1 (/ (* a (pow b_2 2)) c)) (/ (* a (pow b_2 2)) c)) a))) a))) (log -1)) |
(- (+ (log (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (sqrt -1)))) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 3) (sqrt -1)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 3) (sqrt -1))))) a)) (* 1/2 (+ (* -1 (/ (* a (pow b_2 2)) c)) (/ (* a (pow b_2 2)) c)))) a))) a))) (log -1)) |
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (* -1 (log (/ -1 a)))) |
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (log (/ -1 a))) (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1))))) |
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (sqrt -1)))) (* -1/2 (/ (+ (* -1 (/ (* a (pow b_2 2)) c)) (/ (* a (pow b_2 2)) c)) a))) a)))) |
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (sqrt -1)))) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 3) (sqrt -1)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 3) (sqrt -1))))) a)) (* 1/2 (+ (* -1 (/ (* a (pow b_2 2)) c)) (/ (* a (pow b_2 2)) c)))) a))) a)))) |
(* -1 (/ a c)) |
(+ (* -2 (* (sqrt (/ a (pow c 3))) (* b_2 (sqrt -1)))) (* -1 (/ a c))) |
(+ (* -1 (/ a c)) (* -1 (/ (- (+ (* -4 (/ (* a (pow b_2 2)) (pow c 2))) (* 2 (/ (* a (pow b_2 2)) (pow c 2)))) (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (* b_2 (sqrt -1))))) a))) |
(+ (* -1 (/ a c)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 5))) (* (pow b_2 3) (sqrt -1)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -4 (/ (* (pow a 2) (pow b_2 2)) (pow c 2))) (* 2 (/ (* (pow a 2) (pow b_2 2)) (pow c 2)))))))) (* 4 (* (sqrt (/ (pow a 3) (pow c 5))) (* (pow b_2 3) (sqrt -1)))))) (+ (* -4 (/ (* (pow a 2) (pow b_2 2)) (pow c 2))) (* 2 (/ (* (pow a 2) (pow b_2 2)) (pow c 2))))) a)) (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (* b_2 (sqrt -1))))) a))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2) |
(* -1 b_2) |
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2)) |
(/ -1/2 b_2) |
(+ (* b_2 (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) |
(+ (* b_2 (+ (* b_2 (- (* -1 (* b_2 (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(* -2 b_2) |
(exp (- (log (* (sqrt (* a c)) (sqrt -1))) (log a))) |
(+ (exp (- (log (* (sqrt (* a c)) (sqrt -1))) (log a))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b_2 (exp (- (log (* (sqrt (* a c)) (sqrt -1))) (log a)))) (sqrt -1))))) |
(+ (exp (- (log (* (sqrt (* a c)) (sqrt -1))) (log a))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (exp (- (log (* (sqrt (* a c)) (sqrt -1))) (log a))) (sqrt -1)))) (* 1/2 (/ (* b_2 (exp (- (log (* (sqrt (* a c)) (sqrt -1))) (log a)))) (* a (* c (pow (sqrt -1) 2)))))))) |
(+ (exp (- (log (* (sqrt (* a c)) (sqrt -1))) (log a))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (exp (- (log (* (sqrt (* a c)) (sqrt -1))) (log a))) (sqrt -1)))) (* b_2 (+ (* 1/2 (/ (exp (- (log (* (sqrt (* a c)) (sqrt -1))) (log a))) (* a (* c (pow (sqrt -1) 2))))) (* b_2 (* (exp (- (log (* (sqrt (* a c)) (sqrt -1))) (log a))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/6 (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))))))))))) |
(- (log (* (sqrt (* a c)) (sqrt -1))) (log a)) |
(- (+ (log (* (sqrt (* a c)) (sqrt -1))) (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1))))) (log a)) |
(- (+ (log (* (sqrt (* a c)) (sqrt -1))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* 1/6 (* (pow b_2 2) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))))))) (log a)) |
(- (+ (log (* (sqrt (* a c)) (sqrt -1))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* 1/120 (* (pow b_2 2) (+ (* -30 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ 1 (pow (sqrt -1) 5)))) (+ (* -24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ 1 (pow (sqrt -1) 5)))) (+ (* -15 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ 1 (pow (sqrt -1) 5)))) (* 60 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ 1 (pow (sqrt -1) 5))))))))) (* 1/6 (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))))))) (log a)) |
(log (* (sqrt (* a c)) (sqrt -1))) |
(+ (log (* (sqrt (* a c)) (sqrt -1))) (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1))))) |
(+ (log (* (sqrt (* a c)) (sqrt -1))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* 1/6 (* (pow b_2 2) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))))))) |
(+ (log (* (sqrt (* a c)) (sqrt -1))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* 1/120 (* (pow b_2 2) (+ (* -30 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ 1 (pow (sqrt -1) 5)))) (+ (* -24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ 1 (pow (sqrt -1) 5)))) (+ (* -15 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ 1 (pow (sqrt -1) 5)))) (* 60 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ 1 (pow (sqrt -1) 5))))))))) (* 1/6 (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))))))) |
(+ (* b_2 (- (* 2 (/ b_2 (* (pow c 2) (pow (sqrt -1) 4)))) (* -2 (* (sqrt (/ a (pow c 3))) (/ 1 (pow (sqrt -1) 3)))))) (/ a (* c (pow (sqrt -1) 2)))) |
(+ (* b_2 (- (* b_2 (+ (* -1 (* b_2 (+ (* -4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ 1 (pow (sqrt -1) 5)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 5)))) (/ 1 (pow (sqrt -1) 5)))) (* 4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ 1 (pow (sqrt -1) 5)))))))) (* 2 (/ 1 (* (pow c 2) (pow (sqrt -1) 4)))))) (* -2 (* (sqrt (/ a (pow c 3))) (/ 1 (pow (sqrt -1) 3)))))) (/ a (* c (pow (sqrt -1) 2)))) |
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2) |
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2) |
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2) |
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))) |
(* (pow b_2 2) (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))) |
(* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))) |
(* b_2 (- (* -1 (/ (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c))) (pow b_2 4))) (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))) |
(* b_2 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))) (pow b_2 6))) (+ (* -1/2 (/ a (pow b_2 2))) (+ (* -1/4 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 4))) (* 2 (/ 1 c))))))) |
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2) |
(exp (- (+ (log (* -1/2 (* a c))) (log (/ 1 b_2))) (log a))) |
(+ (exp (- (+ (log (* -1/2 (* a c))) (log (/ 1 b_2))) (log a))) (* 1/4 (/ (* a (* c (exp (- (+ (log (* -1/2 (* a c))) (log (/ 1 b_2))) (log a))))) (pow b_2 2)))) |
(+ (exp (- (+ (log (* -1/2 (* a c))) (log (/ 1 b_2))) (log a))) (+ (* 1/4 (/ (* a (* c (exp (- (+ (log (* -1/2 (* a c))) (log (/ 1 b_2))) (log a))))) (pow b_2 2))) (/ (* (exp (- (+ (log (* -1/2 (* a c))) (log (/ 1 b_2))) (log a))) (+ (* 1/32 (* (pow a 2) (pow c 2))) (* 1/24 (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2))))))) (pow b_2 4)))) |
(+ (exp (- (+ (log (* -1/2 (* a c))) (log (/ 1 b_2))) (log a))) (+ (* 1/4 (/ (* a (* c (exp (- (+ (log (* -1/2 (* a c))) (log (/ 1 b_2))) (log a))))) (pow b_2 2))) (+ (/ (* (exp (- (+ (log (* -1/2 (* a c))) (log (/ 1 b_2))) (log a))) (+ (* 1/720 (+ (* -45/2 (* (pow a 3) (pow c 3))) (+ (* 15/4 (* (pow a 3) (pow c 3))) (* 720 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a c)))))) (+ (* 1/384 (* (pow a 3) (pow c 3))) (* 1/96 (* a (* c (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))))))))) (pow b_2 6)) (/ (* (exp (- (+ (log (* -1/2 (* a c))) (log (/ 1 b_2))) (log a))) (+ (* 1/32 (* (pow a 2) (pow c 2))) (* 1/24 (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2))))))) (pow b_2 4))))) |
(- (+ (log (* -1/2 (* a c))) (log (/ 1 b_2))) (log a)) |
(- (+ (log (* -1/2 (* a c))) (+ (log (/ 1 b_2)) (* 1/4 (/ (* a c) (pow b_2 2))))) (log a)) |
(- (+ (log (* -1/2 (* a c))) (+ (log (/ 1 b_2)) (+ (* 1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/4 (/ (* a c) (pow b_2 2)))))) (log a)) |
(- (+ (log (* -1/2 (* a c))) (+ (log (/ 1 b_2)) (+ (* 1/720 (/ (+ (* -45/2 (* (pow a 3) (pow c 3))) (+ (* 15/4 (* (pow a 3) (pow c 3))) (* 720 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b_2 6))) (+ (* 1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/4 (/ (* a c) (pow b_2 2))))))) (log a)) |
(+ (log (* -1/2 (* a c))) (log (/ 1 b_2))) |
(+ (log (* -1/2 (* a c))) (+ (log (/ 1 b_2)) (* 1/4 (/ (* a c) (pow b_2 2))))) |
(+ (log (* -1/2 (* a c))) (+ (log (/ 1 b_2)) (+ (* 1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/4 (/ (* a c) (pow b_2 2)))))) |
(+ (log (* -1/2 (* a c))) (+ (log (/ 1 b_2)) (+ (* 1/720 (/ (+ (* -45/2 (* (pow a 3) (pow c 3))) (+ (* 15/4 (* (pow a 3) (pow c 3))) (* 720 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b_2 6))) (+ (* 1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/4 (/ (* a c) (pow b_2 2))))))) |
(* (pow b_2 2) (+ (* -2 (/ a (* (pow b_2 2) c))) (* 4 (/ 1 (pow c 2))))) |
(* (pow b_2 2) (- (+ (* -1 (/ (+ (* -1 (pow a 2)) (* 16 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 4))))) (pow b_2 4))) (* 4 (/ 1 (pow c 2)))) (* 2 (/ a (* (pow b_2 2) c))))) |
(* (pow b_2 2) (- (+ (* -1 (/ (+ (* -8 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 3)))) (+ (* -1/2 (* a (* c (+ (* -1 (pow a 2)) (* 16 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 4)))))))) (* 16 (/ (+ (* 1/64 (* (pow a 5) (pow c 5))) (* 1/2 (* a (* c (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))))))) (* (pow a 2) (pow c 4)))))) (pow b_2 6))) (* 4 (/ 1 (pow c 2)))) (+ (* -1 (/ (pow a 2) (pow b_2 4))) (+ (* 2 (/ a (* (pow b_2 2) c))) (* 16 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (* (pow b_2 4) (pow c 4))))))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a))))))) |
(* -1/2 (/ a b_2)) |
(* -1 (/ (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* 1/2 a)) b_2)) |
(* -1 (/ (- (+ (* 1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 a)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 2)))) b_2)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) (pow b_2 6))) (* 1/2 a)) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) b_2)) |
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))) |
(exp (- (+ (log 2) (* -1 (log (/ -1 b_2)))) (log a))) |
(+ (exp (- (+ (log 2) (* -1 (log (/ -1 b_2)))) (log a))) (* -1/4 (/ (* a (* c (exp (- (+ (log 2) (* -1 (log (/ -1 b_2)))) (log a))))) (pow b_2 2)))) |
(+ (exp (- (+ (log 2) (* -1 (log (/ -1 b_2)))) (log a))) (+ (* -1/4 (/ (* a (* c (exp (- (+ (log 2) (* -1 (log (/ -1 b_2)))) (log a))))) (pow b_2 2))) (/ (* (exp (- (+ (log 2) (* -1 (log (/ -1 b_2)))) (log a))) (+ (* 1/32 (* (pow a 2) (pow c 2))) (* 1/24 (+ (* -3/2 (* (pow a 2) (pow c 2))) (* -3/4 (* (pow a 2) (pow c 2))))))) (pow b_2 4)))) |
(+ (exp (- (+ (log 2) (* -1 (log (/ -1 b_2)))) (log a))) (+ (* -1/4 (/ (* a (* c (exp (- (+ (log 2) (* -1 (log (/ -1 b_2)))) (log a))))) (pow b_2 2))) (+ (/ (* (exp (- (+ (log 2) (* -1 (log (/ -1 b_2)))) (log a))) (+ (* -1/96 (* a (* c (+ (* -3/2 (* (pow a 2) (pow c 2))) (* -3/4 (* (pow a 2) (pow c 2))))))) (+ (* -1/384 (* (pow a 3) (pow c 3))) (* 1/720 (+ (* -45/2 (* (pow a 3) (pow c 3))) (+ (* -45/4 (* (pow a 3) (pow c 3))) (* -15/4 (* (pow a 3) (pow c 3))))))))) (pow b_2 6)) (/ (* (exp (- (+ (log 2) (* -1 (log (/ -1 b_2)))) (log a))) (+ (* 1/32 (* (pow a 2) (pow c 2))) (* 1/24 (+ (* -3/2 (* (pow a 2) (pow c 2))) (* -3/4 (* (pow a 2) (pow c 2))))))) (pow b_2 4))))) |
(- (+ (log 2) (* -1 (log (/ -1 b_2)))) (log a)) |
(- (+ (log 2) (+ (* -1 (log (/ -1 b_2))) (* -1/4 (/ (* a c) (pow b_2 2))))) (log a)) |
(- (+ (log 2) (+ (* -1 (log (/ -1 b_2))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (* 1/24 (/ (+ (* -3/2 (* (pow a 2) (pow c 2))) (* -3/4 (* (pow a 2) (pow c 2)))) (pow b_2 4)))))) (log a)) |
(- (+ (log 2) (+ (* -1 (log (/ -1 b_2))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (+ (* 1/720 (/ (+ (* -45/2 (* (pow a 3) (pow c 3))) (+ (* -45/4 (* (pow a 3) (pow c 3))) (* -15/4 (* (pow a 3) (pow c 3))))) (pow b_2 6))) (* 1/24 (/ (+ (* -3/2 (* (pow a 2) (pow c 2))) (* -3/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))))))) (log a)) |
(+ (log 2) (* -1 (log (/ -1 b_2)))) |
(+ (log 2) (+ (* -1 (log (/ -1 b_2))) (* -1/4 (/ (* a c) (pow b_2 2))))) |
(+ (log 2) (+ (* -1 (log (/ -1 b_2))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (* 1/24 (/ (+ (* -3/2 (* (pow a 2) (pow c 2))) (* -3/4 (* (pow a 2) (pow c 2)))) (pow b_2 4)))))) |
(+ (log 2) (+ (* -1 (log (/ -1 b_2))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (+ (* 1/720 (/ (+ (* -45/2 (* (pow a 3) (pow c 3))) (+ (* -45/4 (* (pow a 3) (pow c 3))) (* -15/4 (* (pow a 3) (pow c 3))))) (pow b_2 6))) (* 1/24 (/ (+ (* -3/2 (* (pow a 2) (pow c 2))) (* -3/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))))))) |
(* 1/4 (/ (pow a 2) (pow b_2 2))) |
(/ (+ (* 1/8 (/ (* (pow a 3) c) (pow b_2 2))) (* 1/4 (pow a 2))) (pow b_2 2)) |
(/ (- (+ (* -1 (/ (+ (* -1/16 (* (pow a 4) (pow c 2))) (* 1/16 (* (pow a 2) (+ (* -1/2 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2))))))) (pow b_2 4))) (* 1/4 (pow a 2))) (* -1/8 (/ (* (pow a 3) c) (pow b_2 2)))) (pow b_2 2)) |
(/ (- (+ (* -1 (/ (+ (* 1/32 (* (pow a 3) (* c (+ (* -1/2 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2))))))) (+ (* 1/16 (* (pow a 2) (+ (* -1/4 (* (pow a 3) (pow c 3))) (* 1/8 (* (pow a 3) (pow c 3)))))) (* 1/2 (* a (* c (+ (* -1/16 (* (pow a 4) (pow c 2))) (* 1/16 (* (pow a 2) (+ (* -1/2 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))))))))))) (pow b_2 6))) (* 1/4 (pow a 2))) (+ (* -1/8 (/ (* (pow a 3) c) (pow b_2 2))) (+ (* -1/16 (/ (* (pow a 4) (pow c 2)) (pow b_2 4))) (* 1/16 (/ (* (pow a 2) (+ (* -1/2 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2))))) (pow b_2 4)))))) (pow b_2 2)) |
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2)))) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c) |
(/ (+ (* -2 b_2) (* c (- (* -1 (* c (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c) |
(/ (+ (* -2 b_2) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 3) (pow b_2 5))))))) (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c) |
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5))))))))) |
(exp (- (+ (log c) (log (* -1/2 (/ a b_2)))) (log a))) |
(+ (exp (- (+ (log c) (log (* -1/2 (/ a b_2)))) (log a))) (* 1/4 (/ (* a (* c (exp (- (+ (log c) (log (* -1/2 (/ a b_2)))) (log a))))) (pow b_2 2)))) |
(+ (exp (- (+ (log c) (log (* -1/2 (/ a b_2)))) (log a))) (* c (+ (* 1/4 (/ (* a (exp (- (+ (log c) (log (* -1/2 (/ a b_2)))) (log a)))) (pow b_2 2))) (* c (* (exp (- (+ (log c) (log (* -1/2 (/ a b_2)))) (log a))) (+ (* 1/32 (/ (pow a 2) (pow b_2 4))) (* 1/2 (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/4 (/ (pow a 2) (pow b_2 4))))))))))) |
(+ (exp (- (+ (log c) (log (* -1/2 (/ a b_2)))) (log a))) (* c (+ (* 1/4 (/ (* a (exp (- (+ (log c) (log (* -1/2 (/ a b_2)))) (log a)))) (pow b_2 2))) (* c (+ (* c (* (exp (- (+ (log c) (log (* -1/2 (/ a b_2)))) (log a))) (+ (* 1/384 (/ (pow a 3) (pow b_2 6))) (+ (* 1/8 (/ (* a (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/4 (/ (pow a 2) (pow b_2 4))))) (pow b_2 2))) (* 1/6 (+ (* -3/16 (/ (pow a 3) (pow b_2 6))) (+ (* 1/32 (/ (pow a 3) (pow b_2 6))) (* 6 (/ (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6)))) a))))))))) (* (exp (- (+ (log c) (log (* -1/2 (/ a b_2)))) (log a))) (+ (* 1/32 (/ (pow a 2) (pow b_2 4))) (* 1/2 (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/4 (/ (pow a 2) (pow b_2 4)))))))))))) |
(- (+ (log c) (log (* -1/2 (/ a b_2)))) (log a)) |
(- (+ (log c) (+ (log (* -1/2 (/ a b_2))) (* 1/4 (/ (* a c) (pow b_2 2))))) (log a)) |
(- (+ (log c) (+ (log (* -1/2 (/ a b_2))) (* c (+ (* 1/4 (/ a (pow b_2 2))) (* 1/2 (* c (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/4 (/ (pow a 2) (pow b_2 4)))))))))) (log a)) |
(- (+ (log c) (+ (log (* -1/2 (/ a b_2))) (* c (+ (* 1/4 (/ a (pow b_2 2))) (* c (+ (* 1/6 (* c (+ (* -3/16 (/ (pow a 3) (pow b_2 6))) (+ (* 1/32 (/ (pow a 3) (pow b_2 6))) (* 6 (/ (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6)))) a)))))) (* 1/2 (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/4 (/ (pow a 2) (pow b_2 4))))))))))) (log a)) |
(+ (log c) (log (* -1/2 (/ a b_2)))) |
(+ (log c) (+ (log (* -1/2 (/ a b_2))) (* 1/4 (/ (* a c) (pow b_2 2))))) |
(+ (log c) (+ (log (* -1/2 (/ a b_2))) (* c (+ (* 1/4 (/ a (pow b_2 2))) (* 1/2 (* c (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/4 (/ (pow a 2) (pow b_2 4)))))))))) |
(+ (log c) (+ (log (* -1/2 (/ a b_2))) (* c (+ (* 1/4 (/ a (pow b_2 2))) (* c (+ (* 1/6 (* c (+ (* -3/16 (/ (pow a 3) (pow b_2 6))) (+ (* 1/32 (/ (pow a 3) (pow b_2 6))) (* 6 (/ (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6)))) a)))))) (* 1/2 (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/4 (/ (pow a 2) (pow b_2 4))))))))))) |
(/ (+ (* -2 (* a c)) (* 4 (pow b_2 2))) (pow c 2)) |
(/ (+ (* 4 (pow b_2 2)) (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (* 16 (/ (* (pow b_2 4) (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (pow a 2)))))) (* 2 a)))) (pow c 2)) |
(/ (+ (* 4 (pow b_2 2)) (* c (- (* c (- (* -1 (* c (+ (* -8 (/ (* (pow b_2 2) (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (* 16 (/ (* (pow b_2 4) (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (pow a 2))))) (pow b_2 2))) (* 16 (/ (* (pow b_2 4) (+ (* 1/64 (/ (pow a 5) (pow b_2 8))) (* 1/2 (/ (* a (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (pow b_2 2))))) (pow a 2))))))) (+ (* -1 (/ (pow a 2) (pow b_2 2))) (* 16 (/ (* (pow b_2 4) (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (pow a 2)))))) (* 2 a)))) (pow c 2)) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))) |
(* c (+ 1/2 (* -2 (/ (pow b_2 2) (* a c))))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) c) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c))) |
(exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ 1 c)))) (log a))) |
(+ (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ 1 c)))) (log a))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b_2 (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ 1 c)))) (log a)))) (sqrt -1))))) |
(+ (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ 1 c)))) (log a))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b_2 (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ 1 c)))) (log a)))) (sqrt -1)))) (/ (* (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ 1 c)))) (log a))) (+ (* 1/2 (+ (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))) (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2))))) (* 1/2 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))))) (pow c 2)))) |
(+ (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ 1 c)))) (log a))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b_2 (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ 1 c)))) (log a)))) (sqrt -1)))) (+ (/ (* (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ 1 c)))) (log a))) (+ (* -1/2 (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))) (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2))))) (sqrt -1)))) (+ (* -1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 1/6 (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 3) (pow (sqrt -1) 3))))))))) (pow c 3)) (/ (* (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ 1 c)))) (log a))) (+ (* 1/2 (+ (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))) (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2))))) (* 1/2 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))))) (pow c 2))))) |
(- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ 1 c)))) (log a)) |
(- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ 1 c))) (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))) (log a)) |
(- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ 1 c))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (* 1/2 (/ (+ (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))) (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))) (pow c 2)))))) (log a)) |
(- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ 1 c))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (+ (* 1/6 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 3) (pow (sqrt -1) 3))))) (pow c 3))) (* 1/2 (/ (+ (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))) (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))) (pow c 2))))))) (log a)) |
(+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ 1 c)))) |
(+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ 1 c))) (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))) |
(+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ 1 c))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (* 1/2 (/ (+ (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))) (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))) (pow c 2)))))) |
(+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ 1 c))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (+ (* 1/6 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 3) (pow (sqrt -1) 3))))) (pow c 3))) (* 1/2 (/ (+ (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))) (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))) (pow c 2))))))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ b_2 (pow (sqrt -1) 3)))) (/ (* a c) (pow (sqrt -1) 2))) (pow c 2)) |
(/ (- (+ (* -1 (/ (+ (* -4 (/ (* (pow b_2 2) (pow c 2)) (pow (sqrt -1) 4))) (* 2 (/ (* (pow b_2 2) (pow c 2)) (pow (sqrt -1) 4)))) (pow c 2))) (/ (* a c) (pow (sqrt -1) 2))) (* -2 (* (sqrt (* a c)) (/ b_2 (pow (sqrt -1) 3))))) (pow c 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 5) a)) (/ (pow b_2 3) (pow (sqrt -1) 5)))) (+ (* 2 (* (sqrt (/ c a)) (/ (* b_2 (+ (* -4 (/ (* (pow b_2 2) (pow c 2)) (pow (sqrt -1) 4))) (* 2 (/ (* (pow b_2 2) (pow c 2)) (pow (sqrt -1) 4))))) (sqrt -1)))) (* 4 (* (sqrt (/ (pow c 5) a)) (/ (pow b_2 3) (pow (sqrt -1) 5)))))) (pow c 3))) (/ (* a c) (pow (sqrt -1) 2))) (+ (* -4 (/ (pow b_2 2) (pow (sqrt -1) 4))) (+ (* -2 (* (sqrt (* a c)) (/ b_2 (pow (sqrt -1) 3)))) (* 2 (/ (pow b_2 2) (pow (sqrt -1) 4)))))) (pow c 2)) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))) |
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c)))))) |
(* -1 (* c (- (* 2 (/ (pow b_2 2) (* a c))) 1/2))) |
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b_2 3) c) a)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c)) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) |
(+ (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (sqrt -1))))) |
(+ (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (* (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (sqrt -1))))) (* -1 (/ (* (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (+ (* -1/2 (/ (* (pow b_2 2) c) a)) (* 1/2 (+ (* -1 (/ (* (pow b_2 2) c) a)) (/ (* (pow b_2 2) c) a))))) c))) c))) |
(+ (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (* (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (sqrt -1))))) (* -1 (/ (+ (* -1 (/ (* (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (+ (* -1/2 (* (sqrt (/ c a)) (* b_2 (* (sqrt -1) (+ (* -1 (/ (* (pow b_2 2) c) a)) (/ (* (pow b_2 2) c) a)))))) (+ (* -1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1)))) (* 1/6 (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1))))))))) c)) (* (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (+ (* -1/2 (/ (* (pow b_2 2) c) a)) (* 1/2 (+ (* -1 (/ (* (pow b_2 2) c) a)) (/ (* (pow b_2 2) c) a)))))) c))) c))) |
(- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a)) |
(- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ -1 c))) (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1))))) (log a)) |
(- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) (* -1/2 (/ (+ (* -1 (/ (* (pow b_2 2) c) a)) (/ (* (pow b_2 2) c) a)) c))) c)))) (log a)) |
(- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1))))) c)) (* 1/2 (+ (* -1 (/ (* (pow b_2 2) c) a)) (/ (* (pow b_2 2) c) a)))) c))) c)))) (log a)) |
(+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) |
(+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ -1 c))) (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1))))) |
(+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) (* -1/2 (/ (+ (* -1 (/ (* (pow b_2 2) c) a)) (/ (* (pow b_2 2) c) a)) c))) c)))) |
(+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1))))) c)) (* 1/2 (+ (* -1 (/ (* (pow b_2 2) c) a)) (/ (* (pow b_2 2) c) a)))) c))) c)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (* b_2 (sqrt -1)))) (* -1 (* a c))) (pow c 2)) |
(/ (+ (* -1 (* a c)) (* -1 (/ (- (+ (* -4 (* (pow b_2 2) c)) (* 2 (* (pow b_2 2) c))) (* -2 (* (sqrt (* a (pow c 3))) (* b_2 (sqrt -1))))) c))) (pow c 2)) |
(/ (+ (* -1 (* a c)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 3) (sqrt -1)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -4 (* (pow b_2 2) (pow c 2))) (* 2 (* (pow b_2 2) (pow c 2)))))))) (* 4 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 3) (sqrt -1)))))) (+ (* -4 (* (pow b_2 2) (pow c 2))) (* 2 (* (pow b_2 2) (pow c 2))))) c)) (* -2 (* (sqrt (* a (pow c 3))) (* b_2 (sqrt -1))))) c))) (pow c 2)) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | b_2 | @ | inf | ((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) b_2) (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (pow (* (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1/2) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (exp (- (log (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (log a))) (- (log (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (log a)) (log (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ (* b_2 b_2) a) (* (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))))) |
| 17.0ms | a | @ | inf | ((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) b_2) (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (pow (* (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1/2) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (exp (- (log (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (log a))) (- (log (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (log a)) (log (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ (* b_2 b_2) a) (* (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))))) |
| 10.0ms | a | @ | 0 | ((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) b_2) (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (pow (* (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1/2) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (exp (- (log (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (log a))) (- (log (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (log a)) (log (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ (* b_2 b_2) a) (* (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))))) |
| 7.0ms | b_2 | @ | -inf | ((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) b_2) (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (pow (* (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1/2) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (exp (- (log (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (log a))) (- (log (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (log a)) (log (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ (* b_2 b_2) a) (* (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))))) |
| 6.0ms | b_2 | @ | 0 | ((/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* c (/ -1/2 b_2)) (/ -1/2 b_2) (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/ (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) b_2) (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (pow (* (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1/2) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (* -2 b_2) (exp (- (log (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (log a))) (- (log (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (log a)) (log (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ (* b_2 b_2) a) (* (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1645 | 9982 |
| 1 | 5488 | 9125 |
| 0 | 8999 | 8810 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (/ c b_2)) |
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))) |
(* -2 (/ b_2 a)) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) |
(/ 2 a) |
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a) |
(* -2 (/ (pow b_2 2) a)) |
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) a) |
(* -2 (/ b_2 c)) |
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))) |
(+ (* -2 (/ b_2 c)) (* a (+ (* -1 (* a (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2))))) |
(+ (* -2 (/ b_2 c)) (* a (+ (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5))))))) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2))))) |
(* -1/2 (/ (* a c) b_2)) |
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (* a (* c (+ (* 1/32 (/ (pow c 2) (pow b_2 4))) (* 1/2 (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (* 1/4 (/ (pow c 2) (pow b_2 4)))))))) b_2)) (* -1/8 (/ (pow c 2) (pow b_2 3)))))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (* c (+ (* 1/384 (/ (pow c 3) (pow b_2 6))) (+ (* 1/8 (/ (* c (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (* 1/4 (/ (pow c 2) (pow b_2 4))))) (pow b_2 2))) (* 1/6 (+ (* -3/16 (/ (pow c 3) (pow b_2 6))) (+ (* 1/32 (/ (pow c 3) (pow b_2 6))) (* 6 (/ (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6)))) c))))))))) b_2)) (* -1/2 (/ (* c (+ (* 1/32 (/ (pow c 2) (pow b_2 4))) (* 1/2 (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (* 1/4 (/ (pow c 2) (pow b_2 4))))))) b_2))))))) |
(log (* -1/2 (/ c b_2))) |
(+ (log (* -1/2 (/ c b_2))) (* 1/4 (/ (* a c) (pow b_2 2)))) |
(+ (log (* -1/2 (/ c b_2))) (* a (+ (* 1/4 (/ c (pow b_2 2))) (* 1/2 (* a (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (* 1/4 (/ (pow c 2) (pow b_2 4))))))))) |
(+ (log (* -1/2 (/ c b_2))) (* a (+ (* 1/4 (/ c (pow b_2 2))) (* a (+ (* 1/6 (* a (+ (* -3/16 (/ (pow c 3) (pow b_2 6))) (+ (* 1/32 (/ (pow c 3) (pow b_2 6))) (* 6 (/ (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6)))) c)))))) (* 1/2 (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (* 1/4 (/ (pow c 2) (pow b_2 4)))))))))) |
(+ (log a) (log (* -1/2 (/ c b_2)))) |
(+ (log a) (+ (log (* -1/2 (/ c b_2))) (* 1/4 (/ (* a c) (pow b_2 2))))) |
(+ (log a) (+ (log (* -1/2 (/ c b_2))) (* a (+ (* 1/4 (/ c (pow b_2 2))) (* 1/2 (* a (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (* 1/4 (/ (pow c 2) (pow b_2 4)))))))))) |
(+ (log a) (+ (log (* -1/2 (/ c b_2))) (* a (+ (* 1/4 (/ c (pow b_2 2))) (* a (+ (* 1/6 (* a (+ (* -3/16 (/ (pow c 3) (pow b_2 6))) (+ (* 1/32 (/ (pow c 3) (pow b_2 6))) (* 6 (/ (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6)))) c)))))) (* 1/2 (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (* 1/4 (/ (pow c 2) (pow b_2 4))))))))))) |
(/ (pow b_2 2) a) |
(* 4 (/ (pow b_2 2) (pow c 2))) |
(+ (* -2 (/ a c)) (* 4 (/ (pow b_2 2) (pow c 2)))) |
(+ (* 4 (/ (pow b_2 2) (pow c 2))) (* a (- (* a (- (/ 1 (pow b_2 2)) (* 16 (/ (* (pow b_2 4) (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 4))))) (* 2 (/ 1 c))))) |
(+ (* 4 (/ (pow b_2 2) (pow c 2))) (* a (- (* a (- (+ (* -1 (* a (+ (* -8 (/ (* (pow b_2 2) (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 3))) (+ (* 1/2 (/ (* c (- (/ 1 (pow b_2 2)) (* 16 (/ (* (pow b_2 4) (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 4))))) (pow b_2 2))) (* 16 (/ (* (pow b_2 4) (+ (* 1/64 (/ (pow c 5) (pow b_2 8))) (* 1/2 (/ (* c (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow b_2 2))))) (pow c 4))))))) (/ 1 (pow b_2 2))) (* 16 (/ (* (pow b_2 4) (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 4))))) (* 2 (/ 1 c))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* 1/2 (/ c b_2)) |
(+ (* -2 (/ b_2 a)) (* 1/2 (/ c b_2))) |
(* -1/2 (/ c (pow b_2 2))) |
(+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))) |
(* 1/2 c) |
(+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) |
(* (sqrt (/ a c)) (/ 1 (sqrt -1))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2)))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow a 2))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2))))) |
(- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b_2 3)) (* (pow c 2) (pow (sqrt -1) 4)))) (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow a 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a))) |
(+ (* -1 (/ b_2 a)) (+ (* (sqrt (/ c a)) (sqrt -1)) (* (sqrt (/ c (pow a 5))) (* (sqrt -1) (+ (* 1/2 (+ (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))) (* 1/2 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))))))) |
(+ (* -1 (/ b_2 a)) (+ (* (sqrt (/ c a)) (sqrt -1)) (+ (* (sqrt (/ c (pow a 5))) (* (sqrt -1) (+ (* 1/2 (+ (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))) (* 1/2 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))))) (* (sqrt (/ c (pow a 7))) (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ a c)) (/ (* b_2 (+ (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2))))) (sqrt -1)))) (+ (* -1/6 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 1/6 (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 3))))))))))))) |
(log (* (sqrt (/ c a)) (sqrt -1))) |
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1))))) |
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (* 1/2 (/ (+ (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (pow a 2))))) |
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (+ (* 1/6 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 3))))) (pow a 3))) (* 1/2 (/ (+ (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (pow a 2)))))) |
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (* -1 (log (/ 1 a)))) |
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (log (/ 1 a))) (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))) |
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (log (/ 1 a))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (* 1/2 (/ (+ (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (pow a 2)))))) |
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (log (/ 1 a))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (+ (* 1/6 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b_2 3) (pow (sqrt -1) 3))))) (pow a 3))) (* 1/2 (/ (+ (* -1 (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (/ (* a (pow b_2 2)) (* c (pow (sqrt -1) 2)))) (pow a 2))))))) |
(/ a (* c (pow (sqrt -1) 2))) |
(+ (* 2 (* (sqrt (/ a (pow c 3))) (/ b_2 (pow (sqrt -1) 3)))) (/ a (* c (pow (sqrt -1) 2)))) |
(- (+ (* -1 (/ (+ (* -4 (/ (* (pow a 2) (pow b_2 2)) (* (pow c 2) (pow (sqrt -1) 4)))) (* 2 (/ (* (pow a 2) (pow b_2 2)) (* (pow c 2) (pow (sqrt -1) 4))))) (pow a 2))) (/ a (* c (pow (sqrt -1) 2)))) (* -2 (* (sqrt (/ a (pow c 3))) (/ b_2 (pow (sqrt -1) 3))))) |
(- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow a 5) (pow c 5))) (/ (pow b_2 3) (pow (sqrt -1) 5)))) (+ (* 2 (* (sqrt (/ a c)) (/ (* b_2 (+ (* -4 (/ (* (pow a 2) (pow b_2 2)) (* (pow c 2) (pow (sqrt -1) 4)))) (* 2 (/ (* (pow a 2) (pow b_2 2)) (* (pow c 2) (pow (sqrt -1) 4)))))) (sqrt -1)))) (* 4 (* (sqrt (/ (pow a 5) (pow c 5))) (/ (pow b_2 3) (pow (sqrt -1) 5)))))) (pow a 3))) (/ a (* c (pow (sqrt -1) 2)))) (+ (* -4 (/ (pow b_2 2) (* (pow c 2) (pow (sqrt -1) 4)))) (+ (* -2 (* (sqrt (/ a (pow c 3))) (/ b_2 (pow (sqrt -1) 3)))) (* 2 (/ (pow b_2 2) (* (pow c 2) (pow (sqrt -1) 4))))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a))) |
(+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)) |
(+ (* -1 (/ (+ (* -1 b_2) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 b_2) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a))) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* -1 (/ (* a b_2) c))) a))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (/ (* a (pow b_2 3)) (pow c 2))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))))))) (+ (* -1/2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1))))) a)) (* -1 (/ (* a b_2) c))) a))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(exp (- (log (* (sqrt (/ c a)) (sqrt -1))) (log -1))) |
(+ (exp (- (log (* (sqrt (/ c a)) (sqrt -1))) (log -1))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (exp (- (log (* (sqrt (/ c a)) (sqrt -1))) (log -1))) (sqrt -1))))) |
(+ (exp (- (log (* (sqrt (/ c a)) (sqrt -1))) (log -1))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (* (exp (- (log (* (sqrt (/ c a)) (sqrt -1))) (log -1))) (sqrt -1))))) (* -1 (/ (* (exp (- (log (* (sqrt (/ c a)) (sqrt -1))) (log -1))) (+ (* -1/2 (/ (* a (pow b_2 2)) c)) (* 1/2 (+ (* -1 (/ (* a (pow b_2 2)) c)) (/ (* a (pow b_2 2)) c))))) a))) a))) |
(+ (exp (- (log (* (sqrt (/ c a)) (sqrt -1))) (log -1))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (* (exp (- (log (* (sqrt (/ c a)) (sqrt -1))) (log -1))) (sqrt -1))))) (* -1 (/ (+ (* -1 (/ (* (exp (- (log (* (sqrt (/ c a)) (sqrt -1))) (log -1))) (+ (* -1/2 (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (+ (* -1 (/ (* a (pow b_2 2)) c)) (/ (* a (pow b_2 2)) c)))))) (+ (* -1/6 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 3) (sqrt -1)))) (* 1/6 (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 3) (sqrt -1)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 3) (sqrt -1))))))))) a)) (* (exp (- (log (* (sqrt (/ c a)) (sqrt -1))) (log -1))) (+ (* -1/2 (/ (* a (pow b_2 2)) c)) (* 1/2 (+ (* -1 (/ (* a (pow b_2 2)) c)) (/ (* a (pow b_2 2)) c)))))) a))) a))) |
(- (log (* (sqrt (/ c a)) (sqrt -1))) (log -1)) |
(- (+ (log (* (sqrt (/ c a)) (sqrt -1))) (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1)))) (log -1)) |
(- (+ (log (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (sqrt -1)))) (* -1/2 (/ (+ (* -1 (/ (* a (pow b_2 2)) c)) (/ (* a (pow b_2 2)) c)) a))) a))) (log -1)) |
(- (+ (log (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (sqrt -1)))) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 3) (sqrt -1)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 3) (sqrt -1))))) a)) (* 1/2 (+ (* -1 (/ (* a (pow b_2 2)) c)) (/ (* a (pow b_2 2)) c)))) a))) a))) (log -1)) |
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (* -1 (log (/ -1 a)))) |
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (log (/ -1 a))) (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1))))) |
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (sqrt -1)))) (* -1/2 (/ (+ (* -1 (/ (* a (pow b_2 2)) c)) (/ (* a (pow b_2 2)) c)) a))) a)))) |
(+ (log (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1 (log (/ -1 a))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (* b_2 (sqrt -1)))) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 3) (sqrt -1)))) (* 3 (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 3) (sqrt -1))))) a)) (* 1/2 (+ (* -1 (/ (* a (pow b_2 2)) c)) (/ (* a (pow b_2 2)) c)))) a))) a)))) |
(* -1 (/ a c)) |
(+ (* -2 (* (sqrt (/ a (pow c 3))) (* b_2 (sqrt -1)))) (* -1 (/ a c))) |
(+ (* -1 (/ a c)) (* -1 (/ (- (+ (* -4 (/ (* a (pow b_2 2)) (pow c 2))) (* 2 (/ (* a (pow b_2 2)) (pow c 2)))) (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (* b_2 (sqrt -1))))) a))) |
(+ (* -1 (/ a c)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ (pow a 3) (pow c 5))) (* (pow b_2 3) (sqrt -1)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -4 (/ (* (pow a 2) (pow b_2 2)) (pow c 2))) (* 2 (/ (* (pow a 2) (pow b_2 2)) (pow c 2)))))))) (* 4 (* (sqrt (/ (pow a 3) (pow c 5))) (* (pow b_2 3) (sqrt -1)))))) (+ (* -4 (/ (* (pow a 2) (pow b_2 2)) (pow c 2))) (* 2 (/ (* (pow a 2) (pow b_2 2)) (pow c 2))))) a)) (* -2 (* (sqrt (/ (pow a 3) (pow c 3))) (* b_2 (sqrt -1))))) a))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(/ (+ (* -2 (/ (pow b_2 2) a)) (* 1/2 c)) b_2) |
(* -1 b_2) |
(/ (+ (* -1/2 c) (* 2 (/ (pow b_2 2) a))) (pow b_2 2)) |
(/ -1/2 b_2) |
(+ (* b_2 (+ (* -1 (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) |
(+ (* b_2 (+ (* b_2 (- (* -1 (* b_2 (+ (* 1/2 (/ 1 (* a (* (pow c 2) (pow (sqrt -1) 4))))) (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))) (sqrt -1)))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(* -2 b_2) |
(exp (- (log (* (sqrt (* a c)) (sqrt -1))) (log a))) |
(+ (exp (- (log (* (sqrt (* a c)) (sqrt -1))) (log a))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b_2 (exp (- (log (* (sqrt (* a c)) (sqrt -1))) (log a)))) (sqrt -1))))) |
(+ (exp (- (log (* (sqrt (* a c)) (sqrt -1))) (log a))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (exp (- (log (* (sqrt (* a c)) (sqrt -1))) (log a))) (sqrt -1)))) (* 1/2 (/ (* b_2 (exp (- (log (* (sqrt (* a c)) (sqrt -1))) (log a)))) (* a (* c (pow (sqrt -1) 2)))))))) |
(+ (exp (- (log (* (sqrt (* a c)) (sqrt -1))) (log a))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (exp (- (log (* (sqrt (* a c)) (sqrt -1))) (log a))) (sqrt -1)))) (* b_2 (+ (* 1/2 (/ (exp (- (log (* (sqrt (* a c)) (sqrt -1))) (log a))) (* a (* c (pow (sqrt -1) 2))))) (* b_2 (* (exp (- (log (* (sqrt (* a c)) (sqrt -1))) (log a))) (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/6 (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))))))))))) |
(- (log (* (sqrt (* a c)) (sqrt -1))) (log a)) |
(- (+ (log (* (sqrt (* a c)) (sqrt -1))) (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1))))) (log a)) |
(- (+ (log (* (sqrt (* a c)) (sqrt -1))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* 1/6 (* (pow b_2 2) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))))))) (log a)) |
(- (+ (log (* (sqrt (* a c)) (sqrt -1))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* 1/120 (* (pow b_2 2) (+ (* -30 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ 1 (pow (sqrt -1) 5)))) (+ (* -24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ 1 (pow (sqrt -1) 5)))) (+ (* -15 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ 1 (pow (sqrt -1) 5)))) (* 60 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ 1 (pow (sqrt -1) 5))))))))) (* 1/6 (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))))))) (log a)) |
(log (* (sqrt (* a c)) (sqrt -1))) |
(+ (log (* (sqrt (* a c)) (sqrt -1))) (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1))))) |
(+ (log (* (sqrt (* a c)) (sqrt -1))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* 1/6 (* (pow b_2 2) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))))))) |
(+ (log (* (sqrt (* a c)) (sqrt -1))) (* b_2 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* 1/120 (* (pow b_2 2) (+ (* -30 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ 1 (pow (sqrt -1) 5)))) (+ (* -24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ 1 (pow (sqrt -1) 5)))) (+ (* -15 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ 1 (pow (sqrt -1) 5)))) (* 60 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ 1 (pow (sqrt -1) 5))))))))) (* 1/6 (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3))))))))))) |
(+ (* b_2 (- (* 2 (/ b_2 (* (pow c 2) (pow (sqrt -1) 4)))) (* -2 (* (sqrt (/ a (pow c 3))) (/ 1 (pow (sqrt -1) 3)))))) (/ a (* c (pow (sqrt -1) 2)))) |
(+ (* b_2 (- (* b_2 (+ (* -1 (* b_2 (+ (* -4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ 1 (pow (sqrt -1) 5)))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 5)))) (/ 1 (pow (sqrt -1) 5)))) (* 4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ 1 (pow (sqrt -1) 5)))))))) (* 2 (/ 1 (* (pow c 2) (pow (sqrt -1) 4)))))) (* -2 (* (sqrt (/ a (pow c 3))) (/ 1 (pow (sqrt -1) 3)))))) (/ a (* c (pow (sqrt -1) 2)))) |
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2) |
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2) |
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2) |
(* b_2 (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))) |
(* (pow b_2 2) (- (* 1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))) |
(* b_2 (- (* 1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c)))) |
(* b_2 (- (* -1 (/ (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c))) (pow b_2 4))) (+ (* -1/2 (/ a (pow b_2 2))) (* 2 (/ 1 c))))) |
(* b_2 (- (* -1 (/ (+ (* -2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 2)))) (+ (* -1/4 (* a (* c (+ (* -1/4 (* (pow a 2) c)) (* 1/8 (* (pow a 2) c)))))) (* 1/16 (* (pow a 3) (pow c 2))))) (pow b_2 6))) (+ (* -1/2 (/ a (pow b_2 2))) (+ (* -1/4 (/ (* (pow a 2) c) (pow b_2 4))) (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 4))) (* 2 (/ 1 c))))))) |
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2) |
(exp (- (+ (log (* -1/2 (* a c))) (log (/ 1 b_2))) (log a))) |
(+ (exp (- (+ (log (* -1/2 (* a c))) (log (/ 1 b_2))) (log a))) (* 1/4 (/ (* a (* c (exp (- (+ (log (* -1/2 (* a c))) (log (/ 1 b_2))) (log a))))) (pow b_2 2)))) |
(+ (exp (- (+ (log (* -1/2 (* a c))) (log (/ 1 b_2))) (log a))) (+ (* 1/4 (/ (* a (* c (exp (- (+ (log (* -1/2 (* a c))) (log (/ 1 b_2))) (log a))))) (pow b_2 2))) (/ (* (exp (- (+ (log (* -1/2 (* a c))) (log (/ 1 b_2))) (log a))) (+ (* 1/32 (* (pow a 2) (pow c 2))) (* 1/24 (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2))))))) (pow b_2 4)))) |
(+ (exp (- (+ (log (* -1/2 (* a c))) (log (/ 1 b_2))) (log a))) (+ (* 1/4 (/ (* a (* c (exp (- (+ (log (* -1/2 (* a c))) (log (/ 1 b_2))) (log a))))) (pow b_2 2))) (+ (/ (* (exp (- (+ (log (* -1/2 (* a c))) (log (/ 1 b_2))) (log a))) (+ (* 1/720 (+ (* -45/2 (* (pow a 3) (pow c 3))) (+ (* 15/4 (* (pow a 3) (pow c 3))) (* 720 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a c)))))) (+ (* 1/384 (* (pow a 3) (pow c 3))) (* 1/96 (* a (* c (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))))))))) (pow b_2 6)) (/ (* (exp (- (+ (log (* -1/2 (* a c))) (log (/ 1 b_2))) (log a))) (+ (* 1/32 (* (pow a 2) (pow c 2))) (* 1/24 (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2))))))) (pow b_2 4))))) |
(- (+ (log (* -1/2 (* a c))) (log (/ 1 b_2))) (log a)) |
(- (+ (log (* -1/2 (* a c))) (+ (log (/ 1 b_2)) (* 1/4 (/ (* a c) (pow b_2 2))))) (log a)) |
(- (+ (log (* -1/2 (* a c))) (+ (log (/ 1 b_2)) (+ (* 1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/4 (/ (* a c) (pow b_2 2)))))) (log a)) |
(- (+ (log (* -1/2 (* a c))) (+ (log (/ 1 b_2)) (+ (* 1/720 (/ (+ (* -45/2 (* (pow a 3) (pow c 3))) (+ (* 15/4 (* (pow a 3) (pow c 3))) (* 720 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b_2 6))) (+ (* 1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/4 (/ (* a c) (pow b_2 2))))))) (log a)) |
(+ (log (* -1/2 (* a c))) (log (/ 1 b_2))) |
(+ (log (* -1/2 (* a c))) (+ (log (/ 1 b_2)) (* 1/4 (/ (* a c) (pow b_2 2))))) |
(+ (log (* -1/2 (* a c))) (+ (log (/ 1 b_2)) (+ (* 1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/4 (/ (* a c) (pow b_2 2)))))) |
(+ (log (* -1/2 (* a c))) (+ (log (/ 1 b_2)) (+ (* 1/720 (/ (+ (* -45/2 (* (pow a 3) (pow c 3))) (+ (* 15/4 (* (pow a 3) (pow c 3))) (* 720 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b_2 6))) (+ (* 1/24 (/ (+ (* -3/4 (* (pow a 2) (pow c 2))) (* 3 (* (pow a 2) (pow c 2)))) (pow b_2 4))) (* 1/4 (/ (* a c) (pow b_2 2))))))) |
(* (pow b_2 2) (+ (* -2 (/ a (* (pow b_2 2) c))) (* 4 (/ 1 (pow c 2))))) |
(* (pow b_2 2) (- (+ (* -1 (/ (+ (* -1 (pow a 2)) (* 16 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 4))))) (pow b_2 4))) (* 4 (/ 1 (pow c 2)))) (* 2 (/ a (* (pow b_2 2) c))))) |
(* (pow b_2 2) (- (+ (* -1 (/ (+ (* -8 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow c 3)))) (+ (* -1/2 (* a (* c (+ (* -1 (pow a 2)) (* 16 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 4)))))))) (* 16 (/ (+ (* 1/64 (* (pow a 5) (pow c 5))) (* 1/2 (* a (* c (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))))))) (* (pow a 2) (pow c 4)))))) (pow b_2 6))) (* 4 (/ 1 (pow c 2)))) (+ (* -1 (/ (pow a 2) (pow b_2 4))) (+ (* 2 (/ a (* (pow b_2 2) c))) (* 16 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (* (pow b_2 4) (pow c 4))))))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a))))))) |
(* -1/2 (/ a b_2)) |
(* -1 (/ (+ (* 1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* 1/2 a)) b_2)) |
(* -1 (/ (- (+ (* 1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))) (* 1/2 a)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 2)))) b_2)) |
(* -1 (/ (- (+ (* -1 (/ (+ (* -1/32 (* (pow a 4) (pow c 3))) (* -1/128 (* (pow a 4) (pow c 3)))) (pow b_2 6))) (* 1/2 a)) (+ (* -1/8 (/ (* (pow a 2) c) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 2)) (pow b_2 4))))) b_2)) |
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))) |
(exp (- (+ (log 2) (* -1 (log (/ -1 b_2)))) (log a))) |
(+ (exp (- (+ (log 2) (* -1 (log (/ -1 b_2)))) (log a))) (* -1/4 (/ (* a (* c (exp (- (+ (log 2) (* -1 (log (/ -1 b_2)))) (log a))))) (pow b_2 2)))) |
(+ (exp (- (+ (log 2) (* -1 (log (/ -1 b_2)))) (log a))) (+ (* -1/4 (/ (* a (* c (exp (- (+ (log 2) (* -1 (log (/ -1 b_2)))) (log a))))) (pow b_2 2))) (/ (* (exp (- (+ (log 2) (* -1 (log (/ -1 b_2)))) (log a))) (+ (* 1/32 (* (pow a 2) (pow c 2))) (* 1/24 (+ (* -3/2 (* (pow a 2) (pow c 2))) (* -3/4 (* (pow a 2) (pow c 2))))))) (pow b_2 4)))) |
(+ (exp (- (+ (log 2) (* -1 (log (/ -1 b_2)))) (log a))) (+ (* -1/4 (/ (* a (* c (exp (- (+ (log 2) (* -1 (log (/ -1 b_2)))) (log a))))) (pow b_2 2))) (+ (/ (* (exp (- (+ (log 2) (* -1 (log (/ -1 b_2)))) (log a))) (+ (* -1/96 (* a (* c (+ (* -3/2 (* (pow a 2) (pow c 2))) (* -3/4 (* (pow a 2) (pow c 2))))))) (+ (* -1/384 (* (pow a 3) (pow c 3))) (* 1/720 (+ (* -45/2 (* (pow a 3) (pow c 3))) (+ (* -45/4 (* (pow a 3) (pow c 3))) (* -15/4 (* (pow a 3) (pow c 3))))))))) (pow b_2 6)) (/ (* (exp (- (+ (log 2) (* -1 (log (/ -1 b_2)))) (log a))) (+ (* 1/32 (* (pow a 2) (pow c 2))) (* 1/24 (+ (* -3/2 (* (pow a 2) (pow c 2))) (* -3/4 (* (pow a 2) (pow c 2))))))) (pow b_2 4))))) |
(- (+ (log 2) (* -1 (log (/ -1 b_2)))) (log a)) |
(- (+ (log 2) (+ (* -1 (log (/ -1 b_2))) (* -1/4 (/ (* a c) (pow b_2 2))))) (log a)) |
(- (+ (log 2) (+ (* -1 (log (/ -1 b_2))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (* 1/24 (/ (+ (* -3/2 (* (pow a 2) (pow c 2))) (* -3/4 (* (pow a 2) (pow c 2)))) (pow b_2 4)))))) (log a)) |
(- (+ (log 2) (+ (* -1 (log (/ -1 b_2))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (+ (* 1/720 (/ (+ (* -45/2 (* (pow a 3) (pow c 3))) (+ (* -45/4 (* (pow a 3) (pow c 3))) (* -15/4 (* (pow a 3) (pow c 3))))) (pow b_2 6))) (* 1/24 (/ (+ (* -3/2 (* (pow a 2) (pow c 2))) (* -3/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))))))) (log a)) |
(+ (log 2) (* -1 (log (/ -1 b_2)))) |
(+ (log 2) (+ (* -1 (log (/ -1 b_2))) (* -1/4 (/ (* a c) (pow b_2 2))))) |
(+ (log 2) (+ (* -1 (log (/ -1 b_2))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (* 1/24 (/ (+ (* -3/2 (* (pow a 2) (pow c 2))) (* -3/4 (* (pow a 2) (pow c 2)))) (pow b_2 4)))))) |
(+ (log 2) (+ (* -1 (log (/ -1 b_2))) (+ (* -1/4 (/ (* a c) (pow b_2 2))) (+ (* 1/720 (/ (+ (* -45/2 (* (pow a 3) (pow c 3))) (+ (* -45/4 (* (pow a 3) (pow c 3))) (* -15/4 (* (pow a 3) (pow c 3))))) (pow b_2 6))) (* 1/24 (/ (+ (* -3/2 (* (pow a 2) (pow c 2))) (* -3/4 (* (pow a 2) (pow c 2)))) (pow b_2 4))))))) |
(* 1/4 (/ (pow a 2) (pow b_2 2))) |
(/ (+ (* 1/8 (/ (* (pow a 3) c) (pow b_2 2))) (* 1/4 (pow a 2))) (pow b_2 2)) |
(/ (- (+ (* -1 (/ (+ (* -1/16 (* (pow a 4) (pow c 2))) (* 1/16 (* (pow a 2) (+ (* -1/2 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2))))))) (pow b_2 4))) (* 1/4 (pow a 2))) (* -1/8 (/ (* (pow a 3) c) (pow b_2 2)))) (pow b_2 2)) |
(/ (- (+ (* -1 (/ (+ (* 1/32 (* (pow a 3) (* c (+ (* -1/2 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2))))))) (+ (* 1/16 (* (pow a 2) (+ (* -1/4 (* (pow a 3) (pow c 3))) (* 1/8 (* (pow a 3) (pow c 3)))))) (* 1/2 (* a (* c (+ (* -1/16 (* (pow a 4) (pow c 2))) (* 1/16 (* (pow a 2) (+ (* -1/2 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2)))))))))))) (pow b_2 6))) (* 1/4 (pow a 2))) (+ (* -1/8 (/ (* (pow a 3) c) (pow b_2 2))) (+ (* -1/16 (/ (* (pow a 4) (pow c 2)) (pow b_2 4))) (* 1/16 (/ (* (pow a 2) (+ (* -1/2 (* (pow a 2) (pow c 2))) (* 1/4 (* (pow a 2) (pow c 2))))) (pow b_2 4)))))) (pow b_2 2)) |
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2)))) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) c) |
(/ (+ (* -2 b_2) (* c (- (* -1 (* c (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c) |
(/ (+ (* -2 b_2) (* c (- (* c (- (* -1 (* c (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/4 (/ (* a (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow a 3) (pow b_2 5))))))) (+ (* -1/4 (/ (pow a 2) (pow b_2 3))) (* 1/8 (/ (pow a 2) (pow b_2 3)))))) (* -1/2 (/ a b_2))))) c) |
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5))))))))) |
(exp (- (+ (log c) (log (* -1/2 (/ a b_2)))) (log a))) |
(+ (exp (- (+ (log c) (log (* -1/2 (/ a b_2)))) (log a))) (* 1/4 (/ (* a (* c (exp (- (+ (log c) (log (* -1/2 (/ a b_2)))) (log a))))) (pow b_2 2)))) |
(+ (exp (- (+ (log c) (log (* -1/2 (/ a b_2)))) (log a))) (* c (+ (* 1/4 (/ (* a (exp (- (+ (log c) (log (* -1/2 (/ a b_2)))) (log a)))) (pow b_2 2))) (* c (* (exp (- (+ (log c) (log (* -1/2 (/ a b_2)))) (log a))) (+ (* 1/32 (/ (pow a 2) (pow b_2 4))) (* 1/2 (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/4 (/ (pow a 2) (pow b_2 4))))))))))) |
(+ (exp (- (+ (log c) (log (* -1/2 (/ a b_2)))) (log a))) (* c (+ (* 1/4 (/ (* a (exp (- (+ (log c) (log (* -1/2 (/ a b_2)))) (log a)))) (pow b_2 2))) (* c (+ (* c (* (exp (- (+ (log c) (log (* -1/2 (/ a b_2)))) (log a))) (+ (* 1/384 (/ (pow a 3) (pow b_2 6))) (+ (* 1/8 (/ (* a (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/4 (/ (pow a 2) (pow b_2 4))))) (pow b_2 2))) (* 1/6 (+ (* -3/16 (/ (pow a 3) (pow b_2 6))) (+ (* 1/32 (/ (pow a 3) (pow b_2 6))) (* 6 (/ (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6)))) a))))))))) (* (exp (- (+ (log c) (log (* -1/2 (/ a b_2)))) (log a))) (+ (* 1/32 (/ (pow a 2) (pow b_2 4))) (* 1/2 (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/4 (/ (pow a 2) (pow b_2 4)))))))))))) |
(- (+ (log c) (log (* -1/2 (/ a b_2)))) (log a)) |
(- (+ (log c) (+ (log (* -1/2 (/ a b_2))) (* 1/4 (/ (* a c) (pow b_2 2))))) (log a)) |
(- (+ (log c) (+ (log (* -1/2 (/ a b_2))) (* c (+ (* 1/4 (/ a (pow b_2 2))) (* 1/2 (* c (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/4 (/ (pow a 2) (pow b_2 4)))))))))) (log a)) |
(- (+ (log c) (+ (log (* -1/2 (/ a b_2))) (* c (+ (* 1/4 (/ a (pow b_2 2))) (* c (+ (* 1/6 (* c (+ (* -3/16 (/ (pow a 3) (pow b_2 6))) (+ (* 1/32 (/ (pow a 3) (pow b_2 6))) (* 6 (/ (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6)))) a)))))) (* 1/2 (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/4 (/ (pow a 2) (pow b_2 4))))))))))) (log a)) |
(+ (log c) (log (* -1/2 (/ a b_2)))) |
(+ (log c) (+ (log (* -1/2 (/ a b_2))) (* 1/4 (/ (* a c) (pow b_2 2))))) |
(+ (log c) (+ (log (* -1/2 (/ a b_2))) (* c (+ (* 1/4 (/ a (pow b_2 2))) (* 1/2 (* c (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/4 (/ (pow a 2) (pow b_2 4)))))))))) |
(+ (log c) (+ (log (* -1/2 (/ a b_2))) (* c (+ (* 1/4 (/ a (pow b_2 2))) (* c (+ (* 1/6 (* c (+ (* -3/16 (/ (pow a 3) (pow b_2 6))) (+ (* 1/32 (/ (pow a 3) (pow b_2 6))) (* 6 (/ (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6)))) a)))))) (* 1/2 (+ (* -1/16 (/ (pow a 2) (pow b_2 4))) (* 1/4 (/ (pow a 2) (pow b_2 4))))))))))) |
(/ (+ (* -2 (* a c)) (* 4 (pow b_2 2))) (pow c 2)) |
(/ (+ (* 4 (pow b_2 2)) (* c (- (* -1 (* c (+ (* -1 (/ (pow a 2) (pow b_2 2))) (* 16 (/ (* (pow b_2 4) (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (pow a 2)))))) (* 2 a)))) (pow c 2)) |
(/ (+ (* 4 (pow b_2 2)) (* c (- (* c (- (* -1 (* c (+ (* -8 (/ (* (pow b_2 2) (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) a)) (+ (* -1/2 (/ (* a (+ (* -1 (/ (pow a 2) (pow b_2 2))) (* 16 (/ (* (pow b_2 4) (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (pow a 2))))) (pow b_2 2))) (* 16 (/ (* (pow b_2 4) (+ (* 1/64 (/ (pow a 5) (pow b_2 8))) (* 1/2 (/ (* a (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (pow b_2 2))))) (pow a 2))))))) (+ (* -1 (/ (pow a 2) (pow b_2 2))) (* 16 (/ (* (pow b_2 4) (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (pow a 2)))))) (* 2 a)))) (pow c 2)) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* c (+ (* -2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* 2 (/ 1 (* a c))) (* 1/2 (/ 1 (pow b_2 2))))) |
(* c (+ 1/2 (* -2 (/ (pow b_2 2) (* a c))))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3))))) (pow c 2))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c) |
(/ (- (+ (* -1 (/ (+ (* 1/2 (/ (* (pow b_2 3) (pow c 2)) (* a (pow (sqrt -1) 4)))) (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b_2 2) (pow (sqrt -1) 3)))))) (sqrt -1)))) (pow c 3))) (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (+ (* -1 (/ b_2 (pow (sqrt -1) 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3))))))) c) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c))) |
(exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ 1 c)))) (log a))) |
(+ (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ 1 c)))) (log a))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b_2 (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ 1 c)))) (log a)))) (sqrt -1))))) |
(+ (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ 1 c)))) (log a))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b_2 (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ 1 c)))) (log a)))) (sqrt -1)))) (/ (* (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ 1 c)))) (log a))) (+ (* 1/2 (+ (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))) (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2))))) (* 1/2 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))))) (pow c 2)))) |
(+ (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ 1 c)))) (log a))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b_2 (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ 1 c)))) (log a)))) (sqrt -1)))) (+ (/ (* (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ 1 c)))) (log a))) (+ (* -1/2 (* (sqrt (/ c a)) (/ (* b_2 (+ (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))) (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2))))) (sqrt -1)))) (+ (* -1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 1/6 (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 3) (pow (sqrt -1) 3))))))))) (pow c 3)) (/ (* (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ 1 c)))) (log a))) (+ (* 1/2 (+ (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))) (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2))))) (* 1/2 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))))) (pow c 2))))) |
(- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ 1 c)))) (log a)) |
(- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ 1 c))) (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))) (log a)) |
(- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ 1 c))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (* 1/2 (/ (+ (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))) (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))) (pow c 2)))))) (log a)) |
(- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ 1 c))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (+ (* 1/6 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 3) (pow (sqrt -1) 3))))) (pow c 3))) (* 1/2 (/ (+ (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))) (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))) (pow c 2))))))) (log a)) |
(+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ 1 c)))) |
(+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ 1 c))) (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))))) |
(+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ 1 c))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (* 1/2 (/ (+ (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))) (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))) (pow c 2)))))) |
(+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ 1 c))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) (+ (* 1/6 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 3) (pow (sqrt -1) 3)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b_2 3) (pow (sqrt -1) 3))))) (pow c 3))) (* 1/2 (/ (+ (* -1 (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))) (/ (* (pow b_2 2) c) (* a (pow (sqrt -1) 2)))) (pow c 2))))))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ b_2 (pow (sqrt -1) 3)))) (/ (* a c) (pow (sqrt -1) 2))) (pow c 2)) |
(/ (- (+ (* -1 (/ (+ (* -4 (/ (* (pow b_2 2) (pow c 2)) (pow (sqrt -1) 4))) (* 2 (/ (* (pow b_2 2) (pow c 2)) (pow (sqrt -1) 4)))) (pow c 2))) (/ (* a c) (pow (sqrt -1) 2))) (* -2 (* (sqrt (* a c)) (/ b_2 (pow (sqrt -1) 3))))) (pow c 2)) |
(/ (- (+ (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 5) a)) (/ (pow b_2 3) (pow (sqrt -1) 5)))) (+ (* 2 (* (sqrt (/ c a)) (/ (* b_2 (+ (* -4 (/ (* (pow b_2 2) (pow c 2)) (pow (sqrt -1) 4))) (* 2 (/ (* (pow b_2 2) (pow c 2)) (pow (sqrt -1) 4))))) (sqrt -1)))) (* 4 (* (sqrt (/ (pow c 5) a)) (/ (pow b_2 3) (pow (sqrt -1) 5)))))) (pow c 3))) (/ (* a c) (pow (sqrt -1) 2))) (+ (* -4 (/ (pow b_2 2) (pow (sqrt -1) 4))) (+ (* -2 (* (sqrt (* a c)) (/ b_2 (pow (sqrt -1) 3)))) (* 2 (/ (pow b_2 2) (pow (sqrt -1) 4)))))) (pow c 2)) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (- (* 2 (/ b_2 (* a c))) (* 1/2 (/ 1 b_2))))) |
(* -1 (* c (- (* 1/2 (/ 1 (pow b_2 2))) (* 2 (/ 1 (* a c)))))) |
(* -1 (* c (- (* 2 (/ (pow b_2 2) (* a c))) 1/2))) |
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (+ (* 1/2 (/ (* (pow b_2 3) c) a)) (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))))))) (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1)))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c)) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) |
(+ (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (* (sqrt (/ 1 (* a c))) (* b_2 (* (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (sqrt -1))))) |
(+ (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (* (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (sqrt -1))))) (* -1 (/ (* (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (+ (* -1/2 (/ (* (pow b_2 2) c) a)) (* 1/2 (+ (* -1 (/ (* (pow b_2 2) c) a)) (/ (* (pow b_2 2) c) a))))) c))) c))) |
(+ (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (* (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (sqrt -1))))) (* -1 (/ (+ (* -1 (/ (* (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (+ (* -1/2 (* (sqrt (/ c a)) (* b_2 (* (sqrt -1) (+ (* -1 (/ (* (pow b_2 2) c) a)) (/ (* (pow b_2 2) c) a)))))) (+ (* -1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1)))) (* 1/6 (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1))))))))) c)) (* (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (+ (* -1/2 (/ (* (pow b_2 2) c) a)) (* 1/2 (+ (* -1 (/ (* (pow b_2 2) c) a)) (/ (* (pow b_2 2) c) a)))))) c))) c))) |
(- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a)) |
(- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ -1 c))) (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1))))) (log a)) |
(- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) (* -1/2 (/ (+ (* -1 (/ (* (pow b_2 2) c) a)) (/ (* (pow b_2 2) c) a)) c))) c)))) (log a)) |
(- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1))))) c)) (* 1/2 (+ (* -1 (/ (* (pow b_2 2) c) a)) (/ (* (pow b_2 2) c) a)))) c))) c)))) (log a)) |
(+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) |
(+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ -1 c))) (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1))))) |
(+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) (* -1/2 (/ (+ (* -1 (/ (* (pow b_2 2) c) a)) (/ (* (pow b_2 2) c) a)) c))) c)))) |
(+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1))))) c)) (* 1/2 (+ (* -1 (/ (* (pow b_2 2) c) a)) (/ (* (pow b_2 2) c) a)))) c))) c)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (* b_2 (sqrt -1)))) (* -1 (* a c))) (pow c 2)) |
(/ (+ (* -1 (* a c)) (* -1 (/ (- (+ (* -4 (* (pow b_2 2) c)) (* 2 (* (pow b_2 2) c))) (* -2 (* (sqrt (* a (pow c 3))) (* b_2 (sqrt -1))))) c))) (pow c 2)) |
(/ (+ (* -1 (* a c)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 3) (sqrt -1)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -4 (* (pow b_2 2) (pow c 2))) (* 2 (* (pow b_2 2) (pow c 2)))))))) (* 4 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 3) (sqrt -1)))))) (+ (* -4 (* (pow b_2 2) (pow c 2))) (* 2 (* (pow b_2 2) (pow c 2))))) c)) (* -2 (* (sqrt (* a (pow c 3))) (* b_2 (sqrt -1))))) c))) (pow c 2)) |
| Outputs |
|---|
(* -1/2 (/ c b_2)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) |
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
(* -2 (/ b_2 a)) |
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) |
(/ (+ (* -2 b_2) (* 1/2 (/ (* a c) b_2))) a) |
(/.f64 (fma.f64 (*.f64 a (/.f64 c b_2)) #s(literal 1/2 binary64) (*.f64 #s(literal -2 binary64) b_2)) a) |
(/ 2 a) |
(/.f64 #s(literal 2 binary64) a) |
(/ (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))) a) |
(/.f64 (fma.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 2 binary64)) a) |
(* -2 (/ (pow b_2 2) a)) |
(*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64)) |
(/ (+ (* -2 (pow b_2 2)) (* 1/2 (* a c))) a) |
(/.f64 (fma.f64 (*.f64 b_2 b_2) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 c a))) a) |
(* -2 (/ b_2 c)) |
(*.f64 (/.f64 b_2 c) #s(literal -2 binary64)) |
(+ (* -2 (/ b_2 c)) (* 1/2 (/ a b_2))) |
(fma.f64 (/.f64 a b_2) #s(literal 1/2 binary64) (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))) |
(+ (* -2 (/ b_2 c)) (* a (+ (* -1 (* a (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2))))) |
(fma.f64 (fma.f64 (neg.f64 a) (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) (/.f64 #s(literal 1/2 binary64) b_2)) a (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))) |
(+ (* -2 (/ b_2 c)) (* a (+ (* a (- (* -1 (* a (+ (* -2 (/ (* b_2 (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) (pow c 2))) (+ (* -1/4 (/ (* c (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3))))) (pow b_2 2))) (* 1/16 (/ (pow c 2) (pow b_2 5))))))) (+ (* -1/4 (/ c (pow b_2 3))) (* 1/8 (/ c (pow b_2 3)))))) (* 1/2 (/ 1 b_2))))) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (fma.f64 (/.f64 #s(literal -2 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2) c) (fma.f64 (/.f64 #s(literal -1/4 binary64) b_2) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64)) c) b_2) (/.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 5 binary64))))) (*.f64 (neg.f64 (/.f64 c (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/8 binary64))) a (/.f64 #s(literal 1/2 binary64) b_2)) a (*.f64 (/.f64 b_2 c) #s(literal -2 binary64))) |
(* -1/2 (/ (* a c) b_2)) |
(*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64)) |
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b_2 #s(literal 3 binary64))) #s(literal -1/8 binary64) (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) b_2)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) a) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/2 (/ (* a (* c (+ (* 1/32 (/ (pow c 2) (pow b_2 4))) (* 1/2 (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (* 1/4 (/ (pow c 2) (pow b_2 4)))))))) b_2)) (* -1/8 (/ (pow c 2) (pow b_2 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c a) (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 3/16 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64))))) b_2) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (* c (+ (* 1/384 (/ (pow c 3) (pow b_2 6))) (+ (* 1/8 (/ (* c (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (* 1/4 (/ (pow c 2) (pow b_2 4))))) (pow b_2 2))) (* 1/6 (+ (* -3/16 (/ (pow c 3) (pow b_2 6))) (+ (* 1/32 (/ (pow c 3) (pow b_2 6))) (* 6 (/ (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6)))) c))))))))) b_2)) (* -1/2 (/ (* c (+ (* 1/32 (/ (pow c 2) (pow b_2 4))) (* 1/2 (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (* 1/4 (/ (pow c 2) (pow b_2 4))))))) b_2))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 a (/.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/384 binary64) (fma.f64 (/.f64 #s(literal 1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 3/16 binary64)) c) b_2) (*.f64 (fma.f64 #s(literal -3/16 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) c) #s(literal 6 binary64) (/.f64 (*.f64 #s(literal 1/32 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))))) #s(literal 1/6 binary64)))) c) b_2) (*.f64 c (/.f64 (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 3/16 binary64)) #s(literal 1/2 binary64) (/.f64 (*.f64 #s(literal 1/32 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 4 binary64)))) b_2)))) a (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (pow.f64 b_2 #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
(log (* -1/2 (/ c b_2))) |
(log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2))) |
(+ (log (* -1/2 (/ c b_2))) (* 1/4 (/ (* a c) (pow b_2 2)))) |
(fma.f64 (/.f64 #s(literal 1/4 binary64) b_2) (*.f64 a (/.f64 c b_2)) (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))) |
(+ (log (* -1/2 (/ c b_2))) (* a (+ (* 1/4 (/ c (pow b_2 2))) (* 1/2 (* a (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (* 1/4 (/ (pow c 2) (pow b_2 4))))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) b_2) (/.f64 c b_2) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 3/16 binary64)))) a (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))) |
(+ (log (* -1/2 (/ c b_2))) (* a (+ (* 1/4 (/ c (pow b_2 2))) (* a (+ (* 1/6 (* a (+ (* -3/16 (/ (pow c 3) (pow b_2 6))) (+ (* 1/32 (/ (pow c 3) (pow b_2 6))) (* 6 (/ (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6)))) c)))))) (* 1/2 (+ (* -1/16 (/ (pow c 2) (pow b_2 4))) (* 1/4 (/ (pow c 2) (pow b_2 4)))))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) b_2) (/.f64 c b_2) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (fma.f64 #s(literal -3/16 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 5/64 binary64)) c) #s(literal 6 binary64) (/.f64 (*.f64 #s(literal 1/32 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b_2 #s(literal 6 binary64))))) (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal 3/16 binary64)) #s(literal 1/2 binary64))) a)) a (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))) |
(+ (log a) (log (* -1/2 (/ c b_2)))) |
(+.f64 (log.f64 a) (log.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)))) |
(+ (log a) (+ (log (* -1/2 (/ c b_2))) (* 1/4 (/ (* a c) (pow b_2 2))))) |
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(+ (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (* (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (sqrt -1))))) (* -1 (/ (* (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (+ (* -1/2 (/ (* (pow b_2 2) c) a)) (* 1/2 (+ (* -1 (/ (* (pow b_2 2) c) a)) (/ (* (pow b_2 2) c) a))))) c))) c))) |
(-.f64 (/.f64 (exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) c)))) a) (/.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b_2) (*.f64 (/.f64 (exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) c)))) a) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (/.f64 (exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) c)))) a) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) c) a) #s(literal -1/2 binary64) #s(literal 0 binary64)) c)))) c)) |
(+ (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (* (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (sqrt -1))))) (* -1 (/ (+ (* -1 (/ (* (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (+ (* -1/2 (* (sqrt (/ c a)) (* b_2 (* (sqrt -1) (+ (* -1 (/ (* (pow b_2 2) c) a)) (/ (* (pow b_2 2) c) a)))))) (+ (* -1/6 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1)))) (* 1/6 (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1))))))))) c)) (* (exp (- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a))) (+ (* -1/2 (/ (* (pow b_2 2) c) a)) (* 1/2 (+ (* -1 (/ (* (pow b_2 2) c) a)) (/ (* (pow b_2 2) c) a)))))) c))) c))) |
(-.f64 (/.f64 (exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) c)))) a) (/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 b_2 (/.f64 (exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) c)))) a)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (-.f64 (*.f64 (/.f64 (exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) c)))) a) (fma.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) c) a) #s(literal -1/2 binary64) #s(literal 0 binary64))) (*.f64 (/.f64 (exp.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) c)))) a) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 #s(literal 0 binary64) (sqrt.f64 #s(literal -1 binary64))) b_2) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal -1/6 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) #s(literal 1/6 binary64)))) c))) c))) c)) |
(- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) (log a)) |
(-.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) c))) (log.f64 a)) |
(- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ -1 c))) (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1))))) (log a)) |
(-.f64 (+.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) c))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)))) (log.f64 a)) |
(- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) (* -1/2 (/ (+ (* -1 (/ (* (pow b_2 2) c) a)) (/ (* (pow b_2 2) c) a)) c))) c)))) (log a)) |
(-.f64 (-.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) c))) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) c) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (sqrt.f64 (/.f64 c a)))) c)) (log.f64 a)) |
(- (+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1))))) c)) (* 1/2 (+ (* -1 (/ (* (pow b_2 2) c) a)) (/ (* (pow b_2 2) c) a)))) c))) c)))) (log a)) |
(-.f64 (-.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) c))) (/.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b_2) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) c) #s(literal -1/6 binary64) #s(literal 0 binary64)) c))) c)) (log.f64 a)) |
(+ (log (* (sqrt (/ a c)) (sqrt -1))) (* -1 (log (/ -1 c)))) |
(-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) c))) |
(+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ -1 c))) (* (sqrt (/ 1 (* a c))) (* b_2 (sqrt -1))))) |
(+.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) c))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)))) |
(+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) (* -1/2 (/ (+ (* -1 (/ (* (pow b_2 2) c) a)) (/ (* (pow b_2 2) c) a)) c))) c)))) |
(-.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) c))) (/.f64 (-.f64 (/.f64 #s(literal 0 binary64) c) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (sqrt.f64 (/.f64 c a)))) c)) |
(+ (log (* (sqrt (/ a c)) (sqrt -1))) (+ (* -1 (log (/ -1 c))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (* b_2 (sqrt -1)))) (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1)))) (* 3 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b_2 3) (sqrt -1))))) c)) (* 1/2 (+ (* -1 (/ (* (pow b_2 2) c) a)) (/ (* (pow b_2 2) c) a)))) c))) c)))) |
(-.f64 (-.f64 (log.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) (log.f64 (/.f64 #s(literal -1 binary64) c))) (/.f64 (neg.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) b_2) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 3 binary64)))) c) #s(literal -1/6 binary64) #s(literal 0 binary64)) c))) c)) |
(/ (+ (* -2 (* (sqrt (* a c)) (* b_2 (sqrt -1)))) (* -1 (* a c))) (pow c 2)) |
(/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (sqrt.f64 (*.f64 c a))) #s(literal -2 binary64) (*.f64 (neg.f64 a) c)) (*.f64 c c)) |
(/ (+ (* -1 (* a c)) (* -1 (/ (- (+ (* -4 (* (pow b_2 2) c)) (* 2 (* (pow b_2 2) c))) (* -2 (* (sqrt (* a (pow c 3))) (* b_2 (sqrt -1))))) c))) (pow c 2)) |
(/.f64 (neg.f64 (fma.f64 c a (/.f64 (fma.f64 (*.f64 (*.f64 b_2 b_2) c) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)))) c))) (*.f64 c c)) |
(/ (+ (* -1 (* a c)) (* -1 (/ (- (* -1 (/ (- (+ (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 3) (sqrt -1)))) (+ (* 2 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (+ (* -4 (* (pow b_2 2) (pow c 2))) (* 2 (* (pow b_2 2) (pow c 2)))))))) (* 4 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 3) (sqrt -1)))))) (+ (* -4 (* (pow b_2 2) (pow c 2))) (* 2 (* (pow b_2 2) (pow c 2))))) c)) (* -2 (* (sqrt (* a (pow c 3))) (* b_2 (sqrt -1))))) c))) (pow c 2)) |
(/.f64 (neg.f64 (fma.f64 c a (/.f64 (fma.f64 (/.f64 (-.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 c b_2) (*.f64 c b_2)) #s(literal -2 binary64)) (sqrt.f64 #s(literal -1 binary64))) b_2)))) (*.f64 (*.f64 (*.f64 c b_2) (*.f64 c b_2)) #s(literal -2 binary64))) c) #s(literal -1 binary64) (*.f64 #s(literal 2 binary64) (*.f64 (sqrt.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) b_2)))) c))) (*.f64 c c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 351 |
| 0 | 63 | 319 |
| 1 | 232 | 305 |
| 2 | 1629 | 301 |
| 0 | 8568 | 296 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)))) |
(*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))) |
(neg.f64 b_2) |
#s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
(/.f64 #s(literal -1/2 binary64) b_2) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2))) |
#s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2)) |
(/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2) |
(fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) |
(pow.f64 (*.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1/2 binary64)) |
(/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) |
#s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) |
(*.f64 #s(literal -2 binary64) b_2) |
(exp.f64 (-.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (log.f64 a))) |
(-.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (log.f64 a)) |
(log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) |
(/.f64 (*.f64 b_2 b_2) a) |
(*.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2))) |
(*.f64 (*.f64 #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) #s(literal -1 binary64)) b_2) |
(*.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) b_2)) |
(*.f64 #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) (neg.f64 b_2)) |
(*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a))) |
(*.f64 b_2 (neg.f64 #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) b_2) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) b_2) (*.f64 #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) b_2) (*.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) b_2))))) |
(neg.f64 (*.f64 #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) b_2)) |
(-.f64 #s(literal 0 binary64) (*.f64 #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) b_2)) |
(*.f64 #s(literal -1 binary64) b_2) |
(*.f64 b_2 #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 #s(literal 0 binary64) (neg.f64 b_2))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))) (-.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) b_2) (*.f64 (neg.f64 b_2) b_2))) |
(/.f64 (*.f64 (neg.f64 b_2) b_2) (+.f64 #s(literal 0 binary64) b_2)) |
(/.f64 (*.f64 b_2 b_2) (neg.f64 (+.f64 #s(literal 0 binary64) b_2))) |
(neg.f64 b_2) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2)))) (/.f64 (pow.f64 b_2 #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) b_2)) (/.f64 (*.f64 b_2 b_2) (+.f64 #s(literal 0 binary64) b_2))) |
(-.f64 #s(literal 0 binary64) b_2) |
(+.f64 #s(literal 0 binary64) (neg.f64 b_2)) |
#s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c)) |
(*.f64 (/.f64 c #s(literal -2 binary64)) (pow.f64 b_2 #s(literal -1 binary64))) |
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 #s(literal 1/2 binary64) b_2)) |
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) b_2)) |
(*.f64 (/.f64 #s(literal 1/2 binary64) b_2) (/.f64 c #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) c) (pow.f64 b_2 #s(literal -1 binary64))) |
(*.f64 (pow.f64 b_2 #s(literal -1 binary64)) (/.f64 c #s(literal -2 binary64))) |
(*.f64 (/.f64 (neg.f64 c) b_2) #s(literal 1/2 binary64)) |
(*.f64 (/.f64 #s(literal -1/2 binary64) b_2) c) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
(pow.f64 (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) c)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 c) #s(literal -1/2 binary64))) (neg.f64 (neg.f64 b_2))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) c)) (neg.f64 (*.f64 #s(literal -2 binary64) b_2))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) c))) (neg.f64 (neg.f64 b_2))) |
(/.f64 (neg.f64 (*.f64 c #s(literal 1 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) b_2))) |
(/.f64 (*.f64 (neg.f64 c) #s(literal -1/2 binary64)) (neg.f64 b_2)) |
(/.f64 (*.f64 #s(literal 1 binary64) c) (*.f64 #s(literal -2 binary64) b_2)) |
(/.f64 (neg.f64 (*.f64 #s(literal 1/2 binary64) c)) (neg.f64 (neg.f64 b_2))) |
(/.f64 (neg.f64 (*.f64 #s(literal -1/2 binary64) c)) (neg.f64 b_2)) |
(/.f64 (*.f64 c #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 (*.f64 #s(literal -1/2 binary64) c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 b_2) (*.f64 (neg.f64 c) #s(literal -1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal -2 binary64) b_2) (*.f64 #s(literal 1 binary64) c))) |
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(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (*.f64 (neg.f64 a) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) (neg.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) (*.f64 a (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(literal 2 binary64))) |
(/.f64 (*.f64 a a) (pow.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) #s(literal 2 binary64))) |
(/.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal 2 binary64))) |
Compiled 37 357 to 3 488 computations (90.7% saved)
29 alts after pruning (19 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 754 | 7 | 761 |
| Fresh | 7 | 12 | 19 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 763 | 29 | 792 |
| Status | Accuracy | Program |
|---|---|---|
| 23.6% | (pow.f64 (*.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 b_2) (fma.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 2 binary64))))) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1/2 binary64)) | |
| 13.2% | (pow.f64 #s(approx (* (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (fma.f64 (/.f64 #s(literal 4 binary64) c) (/.f64 (*.f64 b_2 b_2) c) (*.f64 (/.f64 a c) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) | |
| 15.7% | (pow.f64 #s(approx (* (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/.f64 (neg.f64 a) c)) #s(literal -1/2 binary64)) | |
| 9.1% | (/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) b_2) b_2))) (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) b_2) b_2)))))) | |
| 11.0% | (/.f64 (-.f64 (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) b_2) b_2))) b_2) a) | |
| ✓ | 55.8% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 31.6% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a) | |
| 22.7% | (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (*.f64 c a))) a) | |
| ✓ | 22.4% | (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) |
| ✓ | 22.4% | (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a) |
| ✓ | 40.9% | (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
| 11.0% | (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) b_2) b_2))) b_2))) | |
| 40.8% | (/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) | |
| 11.0% | (*.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) b_2) b_2))) b_2)) (/.f64 #s(literal -1 binary64) a)) | |
| 27.6% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 c c) a) b_2) (*.f64 #s(literal -1/2 binary64) c)) b_2)) | |
| 29.4% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))) | |
| 1.3% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 #s(literal 0 binary64) (neg.f64 b_2))))) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) | |
| 1.4% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 #s(literal 0 binary64) (neg.f64 b_2))))) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)))) | |
| ✓ | 30.0% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
| ✓ | 40.8% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)))) |
| 14.7% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal -1/2 binary64))) | |
| ✓ | 30.0% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
| ✓ | 41.0% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) |
| ✓ | 27.5% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2))) |
| 27.5% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2))) | |
| 8.7% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c)))) | |
| ✓ | 8.6% | #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) |
| 37.2% | #s(approx (exp (- (log (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (log a))) (/.f64 (exp.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b_2)))) a)) | |
| 5.7% | #s(approx (exp (- (log (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (log a))) (/.f64 (exp.f64 (+.f64 (log.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) (log.f64 c))) a)) |
Compiled 2 538 to 911 computations (64.1% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c)))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))) |
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2))) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (*.f64 c a))) a) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2))) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 (fma.f64 (/.f64 #s(literal -1/8 binary64) b_2) (/.f64 (*.f64 (*.f64 c c) a) b_2) (*.f64 #s(literal -1/2 binary64) c)) b_2)) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) b_2) b_2))) b_2) a) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) (*.f64 b_2 b_2))))) a) |
(*.f64 (neg.f64 (-.f64 (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) b_2) b_2))) b_2)) (/.f64 #s(literal -1 binary64) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) b_2) b_2))) b_2))) |
(pow.f64 #s(approx (* (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (/.f64 (neg.f64 a) c)) #s(literal -1/2 binary64)) |
(/.f64 (-.f64 (*.f64 b_2 b_2) #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) b_2) b_2))) (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (* (pow (+ (* c a) (* b_2 b_2)) 2) (neg (pow (+ (* c a) (* b_2 b_2)) -1))) (*.f64 (*.f64 (fma.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c b_2) #s(literal -1 binary64)) b_2) b_2)))))) |
(pow.f64 (*.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1/2 binary64)) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 #s(literal 0 binary64) (neg.f64 b_2))))) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)))) |
(pow.f64 #s(approx (* (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) (fma.f64 (/.f64 #s(literal 4 binary64) c) (/.f64 (*.f64 b_2 b_2) c) (*.f64 (/.f64 a c) #s(literal -2 binary64)))) #s(literal -1/2 binary64)) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 #s(approx (pow (+ (* c a) (* b_2 b_2)) 2) (*.f64 (*.f64 (*.f64 c c) a) a)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) a) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) #s(approx (neg (pow (+ (* c a) (* b_2 b_2)) -1)) (/.f64 (/.f64 #s(literal -1 binary64) a) c))))) a) |
(pow.f64 (*.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (neg.f64 b_2) (fma.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) (/.f64 c b_2) #s(literal 2 binary64))))) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1/2 binary64)) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 b_2 #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 #s(literal 0 binary64) (neg.f64 b_2))))) (fma.f64 (/.f64 (/.f64 c b_2) b_2) #s(literal -1/2 binary64) (/.f64 #s(literal 2 binary64) a)))) |
(exp.f64 (log.f64 (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64)))))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b_2 c)) #s(literal -1 binary64))) #s(literal -1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)))) #s(literal -1 binary64))) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) a) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (pow.f64 #s(approx (+ (* c a) (* b_2 b_2)) (*.f64 (*.f64 (fma.f64 (/.f64 a b_2) (/.f64 c b_2) #s(literal 1 binary64)) b_2) b_2)) #s(literal 2 binary64)) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) a) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 #s(approx (pow (+ (* c a) (* b_2 b_2)) 2) (*.f64 (fma.f64 c c (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) c) (*.f64 b_2 b_2) (/.f64 (pow.f64 b_2 #s(literal 4 binary64)) (neg.f64 a))) (neg.f64 a))) (*.f64 a a))) (neg.f64 (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal -1 binary64)))))) a) |
(exp.f64 (-.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) (log.f64 a))) |
(exp.f64 #s(approx (* (log (/ a (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))))) -1) (neg.f64 (+.f64 (log.f64 b_2) (log.f64 (/.f64 #s(literal -2 binary64) c)))))) |
#s(approx (exp (- (log (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (log a))) (/.f64 (exp.f64 (-.f64 (log.f64 #s(literal 2 binary64)) (log.f64 (/.f64 #s(literal -1 binary64) b_2)))) a)) |
#s(approx (exp (- (log (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c))))) (log a))) (/.f64 (exp.f64 (+.f64 (log.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64))) (log.f64 c))) a)) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 (-.f64 (pow.f64 b_2 #s(literal 8 binary64)) (pow.f64 (*.f64 c a) #s(literal 4 binary64))) (pow.f64 (fma.f64 c a (*.f64 b_2 b_2)) #s(literal 3 binary64))))) a) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 (fma.f64 #s(literal -1/8 binary64) (pow.f64 (/.f64 b_2 c) #s(literal -3 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) #s(literal 3 binary64))) (fma.f64 (pow.f64 (/.f64 b_2 c) #s(literal -2 binary64)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) (*.f64 (/.f64 c b_2) #s(literal 1/2 binary64)))))))) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (pow.f64 (fma.f64 (fma.f64 c a (*.f64 b_2 b_2)) (*.f64 c a) (pow.f64 b_2 #s(literal 4 binary64))) #s(literal -1 binary64)) (-.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))))) a) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 a)) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))))) |
(exp.f64 (*.f64 (/.f64 (-.f64 (pow.f64 (log.f64 a) #s(literal 2 binary64)) (pow.f64 (log.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))) #s(literal 2 binary64))) (log.f64 (*.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2))))) #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
4 calls:
| 21.0ms | a |
| 16.0ms | c |
| 13.0ms | b_2 |
| 12.0ms | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.8% | 1 | a |
| 86.7% | 3 | b_2 |
| 55.8% | 1 | c |
| 76.1% | 5 | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
Compiled 16 to 19 computations (-18.8% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c)))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))) |
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2))) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (*.f64 c a))) a) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 (fma.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64) (*.f64 #s(literal 1/2 binary64) c)) b_2))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
1 calls:
| 5.0ms | b_2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.0% | 3 | b_2 |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c)))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))) |
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2))) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (*.f64 c a))) a) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
2 calls:
| 5.0ms | b_2 |
| 4.0ms | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.7% | 3 | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 68.6% | 2 | b_2 |
Compiled 14 to 13 computations (7.1% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (neg.f64 b_2) #s(approx (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a)) (/.f64 #s(literal 2 binary64) a)))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 #s(literal 1/2 binary64) (/.f64 b_2 c)))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c))) |
(/.f64 #s(literal 1 binary64) (/.f64 a #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)))) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 b_2 b_2)))) a) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (/.f64 #s(approx (+ (* (/ (* b_2 b_2) a) -2) (* 1/2 c)) (*.f64 (/.f64 (*.f64 b_2 b_2) a) #s(literal -2 binary64))) b_2))) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c)) a) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 a (/.f64 c b_2)) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (*.f64 (/.f64 a b_2) #s(literal -1/2 binary64)) c)) a) |
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 (/.f64 #s(literal -1/2 binary64) b_2) (*.f64 c a))) a) |
| Outputs |
|---|
(/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
1 calls:
| 11.0ms | b_2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.3% | 2 | b_2 |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
4 calls:
| 2.0ms | a |
| 2.0ms | c |
| 2.0ms | b_2 |
| 2.0ms | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.0% | 1 | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 30.0% | 1 | c |
| 30.0% | 1 | a |
| 30.0% | 1 | b_2 |
Compiled 16 to 19 computations (-18.8% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
4 calls:
| 1.0ms | c |
| 1.0ms | a |
| 1.0ms | b_2 |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 30.0% | 1 | c |
| 30.0% | 1 | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 30.0% | 1 | a |
| 30.0% | 1 | b_2 |
Compiled 16 to 19 computations (-18.8% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) |
4 calls:
| 5.0ms | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 1.0ms | b_2 |
| 1.0ms | c |
| 1.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 8.6% | 1 | c |
| 8.6% | 1 | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 8.6% | 1 | a |
| 8.6% | 1 | b_2 |
Compiled 16 to 19 computations (-18.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 24.0ms | 2.8447952033357896e-81 | 3.18452891744392e-73 |
| 3.0ms | -2.0934957852253154e+154 | -2.4847871067830252e+153 |
| 7.0ms | 113× | 0 | valid |
| 5.0ms | 34× | 2 | valid |
| 3.0ms | 29× | 1 | valid |
| 3.0ms | 51× | 0 | invalid |
Compiled 364 to 300 computations (17.6% saved)
ival-mult: 3.0ms (23.9% of total)ival-div: 2.0ms (15.9% of total)ival-sqrt: 2.0ms (15.9% of total)adjust: 1.0ms (8% of total)ival-add: 1.0ms (8% of total)ival-sub: 1.0ms (8% of total)ival-neg: 1.0ms (8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.8447952033357896e-81 | 3.18452891744392e-73 |
| 40.0ms | -6.151433374600683e-114 | -3.449754915107908e-116 |
| 7.0ms | 112× | 0 | valid |
| 3.0ms | 47× | 0 | invalid |
Compiled 748 to 564 computations (24.6% saved)
ival-mult: 2.0ms (32.4% of total)ival-sub: 1.0ms (16.2% of total)ival-div: 1.0ms (16.2% of total)ival-add: 1.0ms (16.2% of total)ival-sqrt: 1.0ms (16.2% of total)ival-neg: 1.0ms (16.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 43.0ms | -3.775650685502254e-307 | 7.57080729127987e-297 |
| 29.0ms | 160× | 0 | valid |
| 6.0ms | 85× | 0 | invalid |
Compiled 596 to 436 computations (26.8% saved)
ival-mult: 3.0ms (32.1% of total)ival-div: 2.0ms (21.4% of total)ival-sub: 1.0ms (10.7% of total)ival-add: 1.0ms (10.7% of total)ival-sqrt: 1.0ms (10.7% of total)ival-neg: 1.0ms (10.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 39.0ms | 8.397156928708768e-264 | 5.380447588780477e-241 |
| 23.0ms | 174× | 0 | valid |
| 7.0ms | 105× | 0 | invalid |
| 0.0ms | 2× | 1 | valid |
Compiled 412 to 335 computations (18.7% saved)
ival-div: 13.0ms (57.9% of total)ival-mult: 3.0ms (13.4% of total)ival-sqrt: 2.0ms (8.9% of total)ival-add: 1.0ms (4.5% of total)ival-sub: 1.0ms (4.5% of total)ival-neg: 1.0ms (4.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 66 | 315 |
| 1 | 100 | 304 |
| 2 | 177 | 304 |
| 3 | 412 | 304 |
| 4 | 839 | 304 |
| 5 | 2123 | 298 |
| 6 | 4731 | 298 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 b_2 #s(literal -5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 2199998854441245/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))) |
(if (<=.f64 b_2 #s(literal -3881737571769141/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) (if (<=.f64 b_2 #s(literal 2199998854441245/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))) |
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))) |
(if (<=.f64 b_2 #s(literal 4821641434502089/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) |
| Outputs |
|---|
(if (<=.f64 b_2 #s(literal -5000000000000000184737728440291132704904589914921344225961389276075271829673609798608256554852704163723255876843616333657168501674786702085523096224137216 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) (if (<=.f64 b_2 #s(literal 2199998854441245/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))) |
(if (<=.f64 b_2 #s(literal -3881737571769141/693167423530203714894603546035770925859109268843954143792619895153655326951406405759993601526034894524347802740350892957243539456 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) (if (<=.f64 b_2 #s(literal 2199998854441245/4074071952668972172536891376818756322102936787331872501272280898708762599526673412366794752 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 #s(approx (- (* b_2 b_2) (* a c)) (*.f64 (neg.f64 a) c)))) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))))) |
(if (<=.f64 b_2 #s(literal -101201126653655/202402253307310618352495346718917307049556649764142118356901358027430339567995346891960383701437124495187077864316811911389808737385793476867013399940738509921517424276566361364466907742093216341239767678472745068562007483424692698618103355649159556340810056512358769552333414615230502532186327508646006263307707741093494784 binary64)) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (fma.f64 #s(literal 1/2 binary64) (/.f64 c b_2) (*.f64 (/.f64 b_2 a) #s(literal -2 binary64))))) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))) |
(if (<=.f64 b_2 #s(literal 4821641434502089/567251933470833993071770667324028228809837418235547813055332893110634100784456014078204465673887768016738404766156377048665842149942362101665813667717893457711399398974403333260607303556174368618102720559063506014277553065062667880308951927318061097340410272771508755807405604864 binary64)) (/.f64 #s(approx (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) (*.f64 #s(literal -2 binary64) b_2)) a) #s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 (/.f64 c b_2) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
#s(approx (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) #s(approx (* (neg b_2) (+ (* (/ (/ c b_2) b_2) -1/2) (/ 2 a))) (*.f64 #s(literal 1/2 binary64) (/.f64 c b_2)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 994 | 5860 |
| 1 | 3157 | 5766 |
| 0 | 9064 | 5503 |
| 0 | 508 | 2832 |
| 1 | 1606 | 2798 |
| 2 | 5550 | 2747 |
| 0 | 8048 | 2611 |
| 0 | 40 | 277 |
| 0 | 64 | 265 |
| 1 | 229 | 223 |
| 2 | 1594 | 220 |
| 0 | 8632 | 220 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 423 to 180 computations (57.4% saved)
Compiled 834 to 206 computations (75.3% saved)
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