
Time bar (total: 6.1s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 48.3% | 45.2% | 48.4% | 0.1% | 0% | 6.2% | 0% | 8 |
| 53% | 48.4% | 42.9% | 0.1% | 0% | 8.6% | 0% | 9 |
| 58.1% | 50.3% | 36.3% | 0.1% | 0% | 13.3% | 0% | 10 |
| 66.1% | 56.8% | 29.1% | 0.1% | 0% | 14% | 0% | 11 |
| 70.4% | 58.8% | 24.7% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 19 to 16 computations (15.8% saved)
| 586.0ms | 5 501× | 0 | valid |
| 340.0ms | 1 211× | 2 | valid |
| 265.0ms | 1 373× | 1 | valid |
| 97.0ms | 988× | 0 | invalid |
| 51.0ms | 171× | 3 | valid |
ival-mult: 315.0ms (32.1% of total)ival-sqrt: 220.0ms (22.4% of total)adjust: 149.0ms (15.2% of total)ival-sub: 132.0ms (13.5% of total)ival-div: 87.0ms (8.9% of total)ival-neg: 58.0ms (5.9% of total)exact: 9.0ms (0.9% of total)ival-true: 6.0ms (0.6% of total)ival-assert: 4.0ms (0.4% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 111 | 0 | - | 1 | (-5.436203787993343e-233 -5.12287846295317e-159 2.3852747457142474e-144) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| 60 | 0 | - | 0 | - | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
| 13 | 0 | - | 1 | (1.4306434965072873e-13 -8.928385716195518e+23 2.6895254373583597e-283) | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 6 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 4 binary64) (*.f64 a c)) |
| 0 | 0 | - | 0 | - | (*.f64 a c) |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 2 binary64) a) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) | oflow-rescue | 103 | 0 |
| ↳ | (*.f64 b b) | overflow | 88 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | overflow | 26 | |
| ↳ | (*.f64 a c) | overflow | 26 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | overflow | 103 | |
-.f64 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | cancellation | 60 | 0 |
/.f64 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) | u/n | 12 | 0 |
| ↳ | (*.f64 b b) | underflow | 44 | |
| ↳ | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | underflow | 23 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | underflow | 40 | |
| ↳ | (*.f64 a c) | underflow | 40 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | underflow | 7 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) | uflow-rescue | 7 | 0 |
| ↳ | (*.f64 b b) | underflow | 44 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | underflow | 40 | |
| ↳ | (*.f64 a c) | underflow | 40 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | underflow | 7 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | nan-rescue | 6 | 0 |
| ↳ | (*.f64 b b) | overflow | 88 | |
| ↳ | (*.f64 #s(literal 4 binary64) (*.f64 a c)) | overflow | 26 | |
| ↳ | (*.f64 a c) | overflow | 26 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 130 | 0 |
| - | 16 | 110 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 130 | 0 | 0 |
| - | 16 | 0 | 110 |
| number | freq |
|---|---|
| 0 | 110 |
| 1 | 108 |
| 2 | 34 |
| 3 | 4 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 54.0ms | 346× | 0 | valid |
| 20.0ms | 78× | 2 | valid |
| 14.0ms | 80× | 1 | valid |
| 3.0ms | 8× | 3 | valid |
Compiled 161 to 46 computations (71.4% saved)
ival-neg: 21.0ms (31.6% of total)ival-mult: 17.0ms (25.6% of total)ival-sub: 7.0ms (10.5% of total)ival-div: 7.0ms (10.5% of total)adjust: 7.0ms (10.5% of total)ival-sqrt: 6.0ms (9% of total)exact: 1.0ms (1.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 56 | 158 |
| 1 | 164 | 151 |
| 2 | 433 | 151 |
| 3 | 960 | 151 |
| 4 | 1840 | 151 |
| 5 | 5052 | 151 |
| 0 | 14 | 17 |
| 0 | 23 | 17 |
| 1 | 43 | 17 |
| 2 | 97 | 17 |
| 3 | 208 | 17 |
| 4 | 380 | 17 |
| 5 | 1091 | 17 |
| 6 | 5090 | 17 |
| 0 | 8002 | 16 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 17 to 14 computations (17.6% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.9% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 17 to 14 computations (17.6% saved)
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | |
| cost-diff | 0 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 1 | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 70 |
| 0 | 23 | 70 |
| 1 | 43 | 70 |
| 2 | 97 | 70 |
| 3 | 208 | 70 |
| 4 | 380 | 70 |
| 5 | 1091 | 70 |
| 6 | 5090 | 70 |
| 0 | 8002 | 66 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
(*.f64 b b) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
#s(literal 4 binary64) |
(*.f64 a c) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(*.f64 b b) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
(*.f64 (*.f64 c a) #s(literal 4 binary64)) |
#s(literal 4 binary64) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.1953125000000002 | (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) | |
| accuracy | 3.0954793381066157 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 14.064233450485139 | (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) | |
| accuracy | 25.820703774195877 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| 15.0ms | 173× | 0 | valid |
| 10.0ms | 39× | 2 | valid |
| 7.0ms | 40× | 1 | valid |
| 1.0ms | 4× | 3 | valid |
Compiled 72 to 16 computations (77.8% saved)
ival-mult: 8.0ms (37.3% of total)ival-sub: 3.0ms (14% of total)ival-div: 3.0ms (14% of total)adjust: 3.0ms (14% of total)ival-sqrt: 3.0ms (14% of total)ival-neg: 1.0ms (4.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| Outputs |
|---|
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(- (pow b 2) (* 4 (* a c))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | a | @ | inf | ((- (* b b) (* 4 (* a c))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 3.0ms | c | @ | -inf | ((- (* b b) (* 4 (* a c))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 3.0ms | b | @ | inf | ((- (* b b) (* 4 (* a c))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 3.0ms | a | @ | -inf | ((- (* b b) (* 4 (* a c))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
| 2.0ms | b | @ | 0 | ((- (* b b) (* 4 (* a c))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (neg b) (sqrt (- (* b b) (* 4 (* a c))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 545 | 2723 |
| 1 | 1785 | 2700 |
| 2 | 7653 | 2700 |
| 0 | 8082 | 2562 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -4 (* a c)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(- (pow b 2) (* 4 (* a c))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -2 (/ (* a c) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
| Outputs |
|---|
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f64 (fma.f64 (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a (neg.f64 b)) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 c b)) a (neg.f64 b)) a) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 (fma.f64 (/.f64 c b) a (neg.f64 b)) #s(literal 2 binary64)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal 2 binary64))) a (*.f64 #s(literal -2 binary64) b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (*.f64 (pow.f64 c #s(literal 3 binary64)) (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) a b) |
(* -4 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -4 binary64)) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) #s(literal -1/2 binary64)) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
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(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) (neg.f64 b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/4 binary64) (pow.f64 b #s(literal 6 binary64))) (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) a)) (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c))) (neg.f64 b)) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(/.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c c) b) (*.f64 c a)) #s(literal -2 binary64)) b) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 4 binary64))) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c c) b) (*.f64 c a)))) (neg.f64 b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(/.f64 (-.f64 (fma.f64 (*.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 a #s(literal 4 binary64))) (/.f64 #s(literal 20 binary64) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/2 binary64) (/.f64 (*.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 4 binary64)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (fma.f64 (/.f64 (*.f64 a a) b) (/.f64 (*.f64 c c) b) (*.f64 c a)) #s(literal -2 binary64))) (neg.f64 b)) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 c a) b) b) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b)) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 a b) (/.f64 c b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b)) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(*.f64 (fma.f64 (/.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -4 binary64) (fma.f64 (fma.f64 (/.f64 a b) (/.f64 c b) (/.f64 (*.f64 (*.f64 (*.f64 c c) a) a) (pow.f64 b #s(literal 4 binary64)))) #s(literal -2 binary64) #s(literal 1 binary64))) (neg.f64 b)) |
(+ (* -1 (/ b a)) (/ c b)) |
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a)) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (*.f64 a a)) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) c (/.f64 #s(literal 1 binary64) b)) c (/.f64 (neg.f64 b) a)) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b))) c (*.f64 #s(literal -2 binary64) b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal 2 binary64))) c (*.f64 (/.f64 a b) #s(literal 2 binary64))) c (*.f64 #s(literal -2 binary64) b)) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) c) (fma.f64 c (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 a b)) b) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (pow.f64 a #s(literal 3 binary64))) (/.f64 c (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 a (/.f64 a (pow.f64 b #s(literal 3 binary64)))) #s(literal -2 binary64))) c (*.f64 (/.f64 a b) #s(literal -2 binary64))) c b) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(*.f64 (*.f64 c #s(literal -1/2 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal -1/4 binary64) (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c)) #s(literal -1/2 binary64))) c) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(*.f64 (fma.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (/.f64 b a) c)) #s(literal -1/2 binary64) (fma.f64 (*.f64 #s(literal -1/4 binary64) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 5 binary64))))))) c) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (-.f64 (/.f64 (neg.f64 b) c) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)))) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c))) c) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b c)))) c) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 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 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(*.f64 (neg.f64 c) (-.f64 (*.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(neg.f64 (*.f64 (neg.f64 c) (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 b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c)))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/8 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)))) (neg.f64 c))) c)))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))) b) (neg.f64 c)))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 b b)) #s(literal -1/4 binary64) (*.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/64 binary64)))) (neg.f64 c)) b) (neg.f64 c)))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 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 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 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 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 73 | 51 |
| 0 | 507 | 47 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c)))) |
| Outputs |
|---|
(*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(*.f64 (fabs.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (fabs.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(pow.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) #s(literal 3 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)) (*.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64))) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c)) |
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 (neg.f64 (*.f64 c a)) #s(literal 4 binary64))) |
(fma.f64 (neg.f64 (fabs.f64 b)) (neg.f64 (fabs.f64 b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c)) |
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 (neg.f64 (*.f64 c a)) #s(literal 4 binary64))) |
(fma.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(fma.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)) (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c)) |
(fma.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)) (*.f64 (neg.f64 (*.f64 c a)) #s(literal 4 binary64))) |
(fma.f64 (fabs.f64 (fabs.f64 b)) (fabs.f64 (fabs.f64 b)) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c)) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 (neg.f64 (*.f64 c a)) #s(literal 4 binary64))) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) (pow.f64 b #s(literal 1 binary64)) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) b (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c)) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) b (*.f64 (neg.f64 (*.f64 c a)) #s(literal 4 binary64))) |
(fma.f64 (pow.f64 b #s(literal 1 binary64)) b (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (neg.f64 (*.f64 c a)) #s(literal 4 binary64))) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (neg.f64 (*.f64 c a)) #s(literal 4 binary64))) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 b b (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c)) |
(fma.f64 b b (*.f64 (neg.f64 (*.f64 c a)) #s(literal 4 binary64))) |
(fma.f64 b b (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(sqrt.f64 (*.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b))) (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal 4 binary64))) |
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 c a)) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 a #s(literal 4 binary64))) c)) |
(+.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 c a)) #s(literal 4 binary64))) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 c a))) |
(/.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) a) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) (/.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))) (+.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64))) (fma.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) (/.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal 2 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) (neg.f64 (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) a)) (*.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) #s(literal 2 binary64)) a) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64))) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))) |
(-.f64 (/.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))) |
(/.f64 (-.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) |
(-.f64 (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b)))) |
(-.f64 (/.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)))) |
(neg.f64 b) |
(*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) |
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/2 binary64)) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 (*.f64 c a) #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 4 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) #s(literal 1/2 binary64))) |
Compiled 6 199 to 981 computations (84.2% saved)
13 alts after pruning (13 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 159 | 13 | 172 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 160 | 13 | 173 |
| Status | Accuracy | Program |
|---|---|---|
| 33.1% | (/.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 28.5% | (/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
| 21.5% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) | |
| 50.7% | (/.f64 (-.f64 (neg.f64 b) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 50.9% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
| 37.7% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 c a) b) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 36.4% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) | |
| 34.5% | (/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 24.9% | (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
| ▶ | 34.2% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a))) |
| 34.6% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) | |
| 34.4% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) | |
| ▶ | 34.4% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
Compiled 710 to 466 computations (34.4% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))) | |
| cost-diff | 2 | (/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 7 | (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) | |
| cost-diff | 0 | (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) | |
| cost-diff | 0 | (fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a)) | |
| cost-diff | 0 | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a))) | |
| cost-diff | 0 | (*.f64 (/.f64 a b) #s(literal -2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) | |
| cost-diff | 0 | #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 c (neg.f64 b)) | |
| cost-diff | 0 | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 355 |
| 0 | 72 | 351 |
| 1 | 143 | 351 |
| 2 | 314 | 336 |
| 3 | 1060 | 328 |
| 4 | 5816 | 328 |
| 0 | 8161 | 328 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(*.f64 c a) |
c |
a |
#s(literal -4 binary64) |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
(/.f64 c (neg.f64 b)) |
c |
(neg.f64 b) |
b |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
(/.f64 a b) |
a |
b |
#s(literal -2 binary64) |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a)) |
(/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) |
(fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) |
(/.f64 a b) |
a |
b |
(/.f64 c b) |
c |
#s(literal 1 binary64) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))) |
(-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(*.f64 b b) |
b |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 c a) |
c |
a |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(neg.f64 b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
#s(literal -4 binary64) |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
(/.f64 c (neg.f64 b)) |
c |
(neg.f64 b) |
b |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(*.f64 (*.f64 #s(literal -2 binary64) (/.f64 a b)) c) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 a b)) |
(/.f64 a b) |
a |
b |
#s(literal -2 binary64) |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a)) |
(fma.f64 (/.f64 (fma.f64 (/.f64 c b) (/.f64 a b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a)) |
(/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) |
(/.f64 (fma.f64 (/.f64 c b) (/.f64 a b) #s(literal 1 binary64)) b) |
(fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) |
(fma.f64 (/.f64 c b) (/.f64 a b) #s(literal 1 binary64)) |
(/.f64 a b) |
a |
b |
(/.f64 c b) |
c |
#s(literal 1 binary64) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 (*.f64 a c) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) a)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))) |
(/.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b))) |
(-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(*.f64 #s(literal 4 binary64) (*.f64 a c)) |
(*.f64 b b) |
b |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b)) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(neg.f64 b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 11.951874107592209 | (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b)) | |
| accuracy | 16.063979062811953 | (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))) | |
| accuracy | 25.820703774195877 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) | |
| accuracy | 34.74723366723379 | (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) | |
| accuracy | 0.03125 | (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) | |
| accuracy | 0.9620813107706472 | (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) | |
| accuracy | 1.9064697097380345 | (fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a)) | |
| accuracy | 42.10558274878651 | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a))) | |
| accuracy | 0.0078125 | (*.f64 (/.f64 a b) #s(literal -2 binary64)) | |
| accuracy | 3.0954793381066157 | (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 5.302755520270357 | (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) | |
| accuracy | 42.02694543461002 | #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) | |
| accuracy | 0.0 | (/.f64 c (neg.f64 b)) | |
| accuracy | 0.0 | (neg.f64 b) | |
| accuracy | 42.0021948934146 | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) | |
| accuracy | 1.1953125000000002 | (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) | |
| accuracy | 3.0954793381066157 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 14.064233450485139 | (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) | |
| accuracy | 25.820703774195877 | (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
| 65.0ms | 72× | 2 | valid |
| 42.0ms | 78× | 1 | valid |
| 24.0ms | 90× | 0 | valid |
| 15.0ms | 16× | 3 | valid |
Compiled 335 to 43 computations (87.2% saved)
adjust: 40.0ms (35.8% of total)ival-div: 22.0ms (19.7% of total)ival-mult: 21.0ms (18.8% of total)ival-sqrt: 10.0ms (9% of total)ival-add: 9.0ms (8.1% of total)ival-sub: 8.0ms (7.2% of total)exact: 1.0ms (0.9% of total)ival-neg: 1.0ms (0.9% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
(/.f64 c (neg.f64 b)) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a)) |
(/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) |
(fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) |
(-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))) |
(*.f64 b b) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b)) |
| Outputs |
|---|
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -2 (/ (* a c) b)) |
(* -2 (/ a b)) |
(/ 1 b) |
(+ (/ 1 b) (/ (* a c) (pow b 3))) |
1 |
(+ 1 (/ (* a c) (pow b 2))) |
(* 4 (* a c)) |
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* a (+ (* -4 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (* 2 (/ c b))))) |
(+ (* -2 b) (* a (+ (* 2 (/ c b)) (* a (+ (* -4 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -4 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) |
(* a (+ (* -1 (/ b (pow a 2))) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(/ (* a c) (pow b 3)) |
(* a (+ (/ 1 (* a b)) (/ c (pow b 3)))) |
(/ (* a c) (pow b 2)) |
(* a (+ (/ 1 a) (/ c (pow b 2)))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a) |
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) |
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))) |
(+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -4 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ b a)) (/ c b)) a)) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b))))) |
(* -1 (* a (- (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 b)) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -4 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* a b)) a))) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 4 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* a b)) a))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -1 (/ c b)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) (+ c (* -1 (/ (pow b 2) a))))) (pow b 3)) |
(/ (+ (* a c) (pow b 2)) (pow b 3)) |
(/ (+ (* a c) (pow b 2)) (pow b 2)) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* -4 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -4 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* a (* c (pow (sqrt -4) 4)))))))) (* -4 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (+ 1 (/ (* a c) (pow b 2))) b) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))) |
(* b (- (+ (* -4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))) 2)) |
(* b (- (+ (* -4 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))) (* (pow a 3) (pow c 3)))) (pow b 6))) (+ (* -4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) 2)) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)) |
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* -4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b)) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b)))) |
(+ (* -2 b) (* c (+ (* -4 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* 2 (/ a b))))) |
(+ (* -2 b) (* c (+ (* 2 (/ a b)) (* c (+ (* -4 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (* -4 (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))))))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (* -1 (/ b (* a (pow c 2)))) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* c (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* c (+ (/ 1 c) (/ a (pow b 2)))) |
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))) |
(+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* -4 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* (pow c 2) (+ (* -1 (/ (- (/ b (* a c)) (/ 1 b)) c)) (/ a (pow b 3)))) |
(* -1 (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))) |
(* -1 (* c (- (* -1 (/ a (pow b 2))) (/ 1 c)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -4 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* b c)) c))) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (+ (* 1/32 (/ (* (pow b 3) (pow c 2)) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) c)) (* 4 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))) c)) (* b c)) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 14.0ms | b | @ | -inf | ((/ (- (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (neg b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (/ (+ (* (/ a b) (/ c b)) 1) b) c) (/ (neg b) a)) (/ (+ (* (/ a b) (/ c b)) 1) b) (+ (* (/ a b) (/ c b)) 1) (- (* b b) (+ (* -4 (* c a)) (* b b))) (/ (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (* 2 a)) (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (* b b) (+ (* (* c a) -4) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) |
| 8.0ms | c | @ | 0 | ((/ (- (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (neg b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (/ (+ (* (/ a b) (/ c b)) 1) b) c) (/ (neg b) a)) (/ (+ (* (/ a b) (/ c b)) 1) b) (+ (* (/ a b) (/ c b)) 1) (- (* b b) (+ (* -4 (* c a)) (* b b))) (/ (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (* 2 a)) (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (* b b) (+ (* (* c a) -4) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) |
| 6.0ms | a | @ | 0 | ((/ (- (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (neg b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (/ (+ (* (/ a b) (/ c b)) 1) b) c) (/ (neg b) a)) (/ (+ (* (/ a b) (/ c b)) 1) b) (+ (* (/ a b) (/ c b)) 1) (- (* b b) (+ (* -4 (* c a)) (* b b))) (/ (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (* 2 a)) (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (* b b) (+ (* (* c a) -4) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) |
| 6.0ms | c | @ | inf | ((/ (- (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (neg b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (/ (+ (* (/ a b) (/ c b)) 1) b) c) (/ (neg b) a)) (/ (+ (* (/ a b) (/ c b)) 1) b) (+ (* (/ a b) (/ c b)) 1) (- (* b b) (+ (* -4 (* c a)) (* b b))) (/ (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (* 2 a)) (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (* b b) (+ (* (* c a) -4) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) |
| 5.0ms | a | @ | inf | ((/ (- (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (neg b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ c (neg b)) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* (* (/ a b) -2) c) (* (/ a b) -2) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (+ (* (/ (+ (* (/ a b) (/ c b)) 1) b) c) (/ (neg b) a)) (/ (+ (* (/ a b) (/ c b)) 1) b) (+ (* (/ a b) (/ c b)) 1) (- (* b b) (+ (* -4 (* c a)) (* b b))) (/ (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (* 2 a)) (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (* b b) (+ (* (* c a) -4) (* b b)) (sqrt (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1129 | 6096 |
| 1 | 4198 | 5944 |
| 0 | 8393 | 5671 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -2 (/ (* a c) b)) |
(* -2 (/ a b)) |
(/ 1 b) |
(+ (/ 1 b) (/ (* a c) (pow b 3))) |
1 |
(+ 1 (/ (* a c) (pow b 2))) |
(* 4 (* a c)) |
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* a (+ (* -4 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (* 2 (/ c b))))) |
(+ (* -2 b) (* a (+ (* 2 (/ c b)) (* a (+ (* -4 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -4 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(/ (* a (pow c 2)) (pow b 3)) |
(* a (+ (/ c (* a b)) (/ (pow c 2) (pow b 3)))) |
(* a (+ (* -1 (/ b (pow a 2))) (+ (/ c (* a b)) (/ (pow c 2) (pow b 3))))) |
(/ (* a c) (pow b 3)) |
(* a (+ (/ 1 (* a b)) (/ c (pow b 3)))) |
(/ (* a c) (pow b 2)) |
(* a (+ (/ 1 a) (/ c (pow b 2)))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a) |
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) |
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))) |
(+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -4 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* -1 (* a (+ (* -1 (/ c (* a b))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ b a)) (/ c b)) a)) (* -1 (/ (pow c 2) (pow b 3)))))) |
(* -1 (* a (- (* -1 (/ c (pow b 3))) (/ 1 (* a b))))) |
(* -1 (* a (- (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 b)) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -4 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* a b)) a))) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 4 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* a b)) a))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(* -1 (/ c b)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) c)) (pow b 3)) |
(/ (+ (* a (pow c 2)) (* (pow b 2) (+ c (* -1 (/ (pow b 2) a))))) (pow b 3)) |
(/ (+ (* a c) (pow b 2)) (pow b 3)) |
(/ (+ (* a c) (pow b 2)) (pow b 2)) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* -4 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -4 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* a (* c (pow (sqrt -4) 4)))))))) (* -4 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (+ 1 (/ (* a c) (pow b 2))) b) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))) |
(* b (- (+ (* -4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))) 2)) |
(* b (- (+ (* -4 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))) (* (pow a 3) (pow c 3)))) (pow b 6))) (+ (* -4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) 2)) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))))) |
(* -1 (/ (- (* -1 (/ (* a c) (pow b 2))) 1) b)) |
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* -4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b)) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b)))) |
(+ (* -2 b) (* c (+ (* -4 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* 2 (/ a b))))) |
(+ (* -2 b) (* c (+ (* 2 (/ a b)) (* c (+ (* -4 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (* -4 (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))))))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* (pow c 2) (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* (pow c 2) (+ (* -1 (/ b (* a (pow c 2)))) (+ (/ 1 (* b c)) (/ a (pow b 3))))) |
(* c (+ (/ 1 (* b c)) (/ a (pow b 3)))) |
(* c (+ (/ 1 c) (/ a (pow b 2)))) |
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))) |
(+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* -4 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* (pow c 2) (+ (* -1 (/ (- (/ b (* a c)) (/ 1 b)) c)) (/ a (pow b 3)))) |
(* -1 (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))) |
(* -1 (* c (- (* -1 (/ a (pow b 2))) (/ 1 c)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -4 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* b c)) c))) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (+ (* 1/32 (/ (* (pow b 3) (pow c 2)) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) c)) (* 4 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))) c)) (* b c)) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
| Outputs |
|---|
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f64 (fma.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a (neg.f64 b)) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 #s(literal 2 binary64) a) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a (neg.f64 b)) a) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b))) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(fma.f64 (*.f64 #s(literal 2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 (/.f64 c b) #s(literal 2 binary64))) a (*.f64 #s(literal -2 binary64) b)) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 #s(literal -2 binary64) (/.f64 (*.f64 a c) b) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b) |
(* -2 (/ (* a c) b)) |
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(*.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c)))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 c))) c)))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (-.f64 (/.f64 b c) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 c)) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))))) |
(* (pow c 2) (+ (* -1 (/ (- (/ b (* a c)) (/ 1 b)) c)) (/ a (pow b 3)))) |
(*.f64 (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 b a) c) (/.f64 #s(literal 1 binary64) b)) (neg.f64 c)) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (*.f64 c c)) |
(* -1 (* c (- (* -1 (/ a (pow b 3))) (/ 1 (* b c))))) |
(*.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 a) (pow.f64 b #s(literal 3 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) b) c))) |
(* -1 (* c (- (* -1 (/ a (pow b 2))) (/ 1 c)))) |
(*.f64 (neg.f64 c) (-.f64 (/.f64 (neg.f64 a) (*.f64 b b)) (/.f64 #s(literal 1 binary64) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) |
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 c a)))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) a) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) c) a) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)))) c) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 c a)))) c))) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -4 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* b c)) c))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64)) c) #s(literal -4 binary64) (*.f64 c b)) (neg.f64 c))) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (+ (* 1/32 (/ (* (pow b 3) (pow c 2)) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) c)) (* 4 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))) c)) (* b c)) c))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 c b (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64))) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 (*.f64 c c) a)) #s(literal 1/32 binary64))) c) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64)))) (neg.f64 c))) (neg.f64 c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (neg.f64 c)) b) (neg.f64 c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 289 |
| 0 | 72 | 259 |
| 1 | 281 | 259 |
| 0 | 1848 | 259 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) |
(neg.f64 b) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
(/.f64 c (neg.f64 b)) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a))) |
(fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a)) |
(/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) |
(fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) |
(-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))) |
(*.f64 b b) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b)) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) a) #s(literal 2 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))) (+.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 3 binary64)) (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64))) (fma.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a)) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (*.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)))))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64))) (neg.f64 a)) |
(/.f64 (-.f64 (*.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) a)) (*.f64 (*.f64 #s(literal 2 binary64) a) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64)) a) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 2 binary64))) (*.f64 (fma.f64 b b (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (-.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 3/2 binary64))) (*.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 3 binary64))) (*.f64 (fma.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (fma.f64 b b (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b))) (*.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) b) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (neg.f64 (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a))) |
(neg.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))) |
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(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 2 binary64)))) (sqrt.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 (neg.f64 b) b)))) |
(/.f64 (sqrt.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 #s(literal 4 binary64) (*.f64 a c)) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 b b) (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 2 binary64))))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1/2 binary64))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b))) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) |
(/.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 b b (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) |
(/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) |
(fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 b)) |
(-.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b))) (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (/.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (fma.f64 (neg.f64 b) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) |
Compiled 20 642 to 2 487 computations (88% saved)
17 alts after pruning (13 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 476 | 7 | 483 |
| Fresh | 2 | 6 | 8 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 479 | 17 | 496 |
| Status | Accuracy | Program |
|---|---|---|
| 33.1% | (/.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) | |
| 28.8% | (/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) | |
| 44.6% | (/.f64 (/.f64 #s(approx (- (* b b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 21.5% | (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) |
| ▶ | 50.7% | (/.f64 (-.f64 (neg.f64 b) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 50.9% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
| 36.4% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) | |
| 34.3% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 34.5% | (/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) |
| 33.1% | (/.f64 #s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b)))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 25.3% | (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 24.9% | (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 34.2% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a))) |
| 34.6% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 #s(approx (+ (* (/ a b) (/ c b)) 1) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a))) | |
| 34.6% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) | |
| ▶ | 34.4% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| ✓ | 34.4% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
Compiled 913 to 586 computations (35.8% saved)
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) | |
| cost-diff | 1 | (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 2 | (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) | |
| cost-diff | 7 | (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) | |
| cost-diff | 0 | #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b)) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) | |
| cost-diff | 0 | (/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal -2 binary64) a) c) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b) | |
| cost-diff | 0 | #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (neg.f64 b) a) | |
| cost-diff | 0 | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (-.f64 (neg.f64 b) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)))) | |
| cost-diff | 1 | (/.f64 (-.f64 (neg.f64 b) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 12 | (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 409 |
| 0 | 78 | 371 |
| 1 | 157 | 357 |
| 2 | 446 | 351 |
| 3 | 2047 | 347 |
| 0 | 8287 | 347 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)))) |
(neg.f64 b) |
b |
(*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) |
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 c a) |
c |
a |
(*.f64 b b) |
#s(literal 1/4 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
b |
a |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b) |
(*.f64 (*.f64 #s(literal -2 binary64) a) c) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
a |
c |
b |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) |
(neg.f64 b) |
b |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b)) |
(fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b) |
(*.f64 #s(literal -2 binary64) c) |
#s(literal -2 binary64) |
c |
(/.f64 a b) |
a |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) |
(-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) |
(fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) |
#s(literal 4 binary64) |
(*.f64 a c) |
a |
c |
(*.f64 b b) |
b |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
#s(literal -4 binary64) |
(neg.f64 b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b) #s(literal -2 binary64)) a) |
(-.f64 (neg.f64 b) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)))) |
(neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) b)) |
(neg.f64 b) |
b |
(*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) |
(pow.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) #s(literal 1/4 binary64)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
(*.f64 b b) |
#s(literal 1/4 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
b |
a |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b) |
(*.f64 (*.f64 #s(literal -2 binary64) a) c) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
a |
c |
b |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) |
(-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b))) |
(neg.f64 b) |
b |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b)) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b)) |
(fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b) |
(fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b) |
(*.f64 #s(literal -2 binary64) c) |
#s(literal -2 binary64) |
c |
(/.f64 a b) |
a |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (*.f64 (*.f64 #s(literal 4 binary64) c) #s(literal 1 binary64)) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) #s(literal -2 binary64))) |
(-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) |
(*.f64 (*.f64 a c) #s(literal 4 binary64)) |
(fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) |
#s(literal 4 binary64) |
(*.f64 a c) |
a |
c |
(*.f64 b b) |
b |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)))) a) #s(literal -2 binary64)) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
#s(literal -4 binary64) |
(neg.f64 b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 11.951874107592209 | (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) | |
| accuracy | 22.36161712917633 | (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) | |
| accuracy | 25.820703774195877 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) | |
| accuracy | 34.24856178423762 | (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) | |
| accuracy | 1.4531815913533954 | (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b) | |
| accuracy | 3.0954793381066157 | (/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 14.064233450485139 | (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) | |
| accuracy | 42.23808534272354 | #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b)) | |
| accuracy | 0.0 | (*.f64 #s(literal -2 binary64) a) | |
| accuracy | 3.0954793381066157 | (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 5.563314502579526 | (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b) | |
| accuracy | 42.02694543461002 | #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) | |
| accuracy | 0.0 | (/.f64 (neg.f64 b) a) | |
| accuracy | 0.0 | (neg.f64 b) | |
| accuracy | 41.960237420050305 | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) | |
| accuracy | 1.1953125000000002 | (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) | |
| accuracy | 3.0954793381066157 | (/.f64 (-.f64 (neg.f64 b) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 14.064233450485139 | (-.f64 (neg.f64 b) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)))) | |
| accuracy | 26.487092587151736 | (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) |
| 69.0ms | 72× | 2 | valid |
| 46.0ms | 78× | 1 | valid |
| 38.0ms | 90× | 0 | valid |
| 22.0ms | 16× | 3 | valid |
Compiled 380 to 42 computations (88.9% saved)
ival-mult: 43.0ms (31.3% of total)adjust: 31.0ms (22.5% of total)ival-pow: 23.0ms (16.7% of total)ival-div: 13.0ms (9.5% of total)ival-add: 9.0ms (6.5% of total)ival-sub: 8.0ms (5.8% of total)ival-sqrt: 7.0ms (5.1% of total)exact: 1.0ms (0.7% of total)ival-neg: 1.0ms (0.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) |
(/.f64 (-.f64 (neg.f64 b) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)))) |
(neg.f64 b) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b) |
(*.f64 (*.f64 #s(literal -2 binary64) a) c) |
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b)) |
(-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) |
(/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) |
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(*.f64 #s(literal -2 binary64) a) |
(fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) |
| Outputs |
|---|
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -2 (/ (* a c) b)) |
(* -2 (* a c)) |
(* 4 (* a c)) |
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a) |
(* -4 (/ (* (pow a 2) c) b)) |
(* (pow a 2) (+ (* -4 (/ c b)) (* -4 (/ (* a (pow c 2)) (pow b 3))))) |
(* (pow a 2) (+ (* -4 (/ c b)) (* a (+ (* -8 (/ (* a (pow c 3)) (pow b 5))) (* -4 (/ (pow c 2) (pow b 3))))))) |
(* (pow a 2) (+ (* -4 (/ c b)) (* a (+ (* -4 (/ (pow c 2) (pow b 3))) (* a (+ (* -8 (/ (pow c 3) (pow b 5))) (* -1 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(pow b 2) |
(+ (* 4 (* a c)) (pow b 2)) |
(* (pow 1 1/4) (sqrt b)) |
(+ (* -1 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b) (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4)))))) (* (pow 1 1/4) (* (* a (+ (* -16/3 (/ (pow c 3) (pow b 6))) (+ (* -1/6 (/ (pow c 3) (pow b 6))) (* 2 (/ (pow c 3) (pow b 6)))))) (sqrt b))))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -2 a) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a) |
(* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(* (pow a 2) (+ (* -2 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -4))))) |
(* (pow a 2) (+ (* -2 (/ b a)) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(* (pow a 2) (+ (* -2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))) |
(* a (+ (* 4 c) (/ (pow b 2) a))) |
(exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) |
(+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) (pow a 2)))) |
(+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/768 (/ (pow b 6) (pow c 3))) (+ (* -1/24576 (/ (pow b 6) (pow c 3))) (* 1/2048 (/ (pow b 6) (pow c 3)))))) (pow a 3))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -4 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -2 (/ b a)))) |
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 2 b)) a)))) |
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 2 b)) a)))) |
(* -1 (* a (+ (* -4 c) (* -1 (/ (pow b 2) a))))) |
(exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) |
(+ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) a)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) c))) a))) |
(+ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 6) (pow c 3))) (+ (* 1/24576 (/ (pow b 6) (pow c 3))) (* 1/768 (/ (pow b 6) (pow c 3)))))) a)) (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2)))))) a)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) c))) a))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* a b)) (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))) |
(+ (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -2 a) (* (sqrt (/ a c)) (/ b (sqrt -4)))))) |
(+ (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -2 a) (* b (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))))) |
(pow (* -4 (* a c)) 1/4) |
(+ (* -1/16 (* (pow (/ -4 (* (pow a 3) (pow c 3))) 1/4) (pow b 2))) (pow (* -4 (* a c)) 1/4)) |
(+ (* (pow b 2) (+ (* -1/16 (pow (/ -4 (* (pow a 3) (pow c 3))) 1/4)) (* -3/512 (* (pow (/ -4 (* (pow a 7) (pow c 7))) 1/4) (pow b 2))))) (pow (* -4 (* a c)) 1/4)) |
(+ (* (pow b 2) (+ (* -1/16 (pow (/ -4 (* (pow a 3) (pow c 3))) 1/4)) (* (pow b 2) (+ (* -3/512 (pow (/ -4 (* (pow a 7) (pow c 7))) 1/4)) (* -7/8192 (* (pow (/ -4 (* (pow a 11) (pow c 11))) 1/4) (pow b 2))))))) (pow (* -4 (* a c)) 1/4)) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))) |
(/ (+ (* -4 (* (pow a 2) c)) (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -4 (* (pow a 2) c)) (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -4 (* (pow a 2) c)) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1 (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b) |
(* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2))))) |
(sqrt b) |
(+ (sqrt b) (* -1 (* (* a c) (sqrt (/ 1 (pow b 3)))))) |
(+ (sqrt b) (+ (* -1 (* (* a c) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 (pow b 7))) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))))) |
(+ (sqrt b) (+ (* -1 (* (* a c) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt (/ 1 (pow b 7))) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))) (* (sqrt (/ 1 (pow b 11))) (+ (* -16/3 (* (pow a 3) (pow c 3))) (+ (* -1/6 (* (pow a 3) (pow c 3))) (* 2 (* (pow a 3) (pow c 3))))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -4 (* a b)) |
(* -1 (* b (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (* 4 a)))) |
(* -1 (* b (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 4 a))))) |
(* -1 (* b (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 4 a)))))) |
(* (sqrt b) (sqrt -1)) |
(+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (* (sqrt b) (sqrt -1))) |
(+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))))))) |
(+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (+ (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))))) (* (sqrt (/ 1 (pow b 11))) (* (sqrt -1) (+ (* -16/3 (* (pow a 3) (pow c 3))) (+ (* -1/6 (* (pow a 3) (pow c 3))) (* 2 (* (pow a 3) (pow c 3)))))))))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b)))) |
(* c (+ (* -4 (/ (* (pow a 3) c) (pow b 3))) (* -4 (/ (pow a 2) b)))) |
(* c (+ (* -4 (/ (pow a 2) b)) (* c (+ (* -8 (/ (* (pow a 4) c) (pow b 5))) (* -4 (/ (pow a 3) (pow b 3))))))) |
(* c (+ (* -4 (/ (pow a 2) b)) (* c (+ (* -4 (/ (pow a 3) (pow b 3))) (* c (+ (* -8 (/ (pow a 4) (pow b 5))) (* -1 (/ (* a (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) b)))))))) |
(+ (* c (+ (* -1 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 4))))))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* c (+ (* -1 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* c (+ (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -16/3 (/ (pow a 3) (pow b 6))) (+ (* -1/6 (/ (pow a 3) (pow b 6))) (* 2 (/ (pow a 3) (pow b 6)))))))) (* (pow 1 1/4) (* (sqrt b) (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 4)))))))))) (* (pow 1 1/4) (sqrt b))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(* c (+ (* -2 (/ (* a b) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))) |
(* c (+ (* -2 (/ (* a b) c)) (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))))) |
(* c (+ (* -2 (/ (* a b) c)) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* 4 a) (/ (pow b 2) c))) |
(exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) |
(+ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (pow c 2)))) |
(+ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (pow c 2)) (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/768 (/ (pow b 6) (pow a 3))) (+ (* -1/24576 (/ (pow b 6) (pow a 3))) (* 1/2048 (/ (pow b 6) (pow a 3)))))) (pow c 3))))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(* -1 (* c (+ (* 2 (/ (* a b) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -2 (* a b)) (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -2 (* a b)) (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -4 a) (* -1 (/ (pow b 2) c))))) |
(exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) |
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) c)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 6) (pow a 3))) (+ (* 1/24576 (/ (pow b 6) (pow a 3))) (* 1/768 (/ (pow b 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2)))))) c)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | a | @ | inf | ((* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4)) (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (* (* -2 a) c) b) (* (* -2 a) c) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (- (+ (* 4 (* a c)) (* b b)) (* b b)) (/ (- (+ (* 4 (* a c)) (* b b)) (* b b)) (* (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b)) (* 2 a))) (* (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b)) (* 2 a)) (+ (* 4 (* a c)) (* b b)) (pow (+ (* -4 (* c a)) (* b b)) 1/4) (+ (* -4 (* c a)) (* b b)) (* -2 a) (+ (* (* -2 c) (/ a b)) b) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b))) |
| 4.0ms | b | @ | inf | ((* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4)) (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (* (* -2 a) c) b) (* (* -2 a) c) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (- (+ (* 4 (* a c)) (* b b)) (* b b)) (/ (- (+ (* 4 (* a c)) (* b b)) (* b b)) (* (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b)) (* 2 a))) (* (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b)) (* 2 a)) (+ (* 4 (* a c)) (* b b)) (pow (+ (* -4 (* c a)) (* b b)) 1/4) (+ (* -4 (* c a)) (* b b)) (* -2 a) (+ (* (* -2 c) (/ a b)) b) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b))) |
| 4.0ms | a | @ | 0 | ((* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4)) (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (* (* -2 a) c) b) (* (* -2 a) c) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (- (+ (* 4 (* a c)) (* b b)) (* b b)) (/ (- (+ (* 4 (* a c)) (* b b)) (* b b)) (* (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b)) (* 2 a))) (* (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b)) (* 2 a)) (+ (* 4 (* a c)) (* b b)) (pow (+ (* -4 (* c a)) (* b b)) 1/4) (+ (* -4 (* c a)) (* b b)) (* -2 a) (+ (* (* -2 c) (/ a b)) b) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b))) |
| 4.0ms | b | @ | 0 | ((* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4)) (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (* (* -2 a) c) b) (* (* -2 a) c) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (- (+ (* 4 (* a c)) (* b b)) (* b b)) (/ (- (+ (* 4 (* a c)) (* b b)) (* b b)) (* (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b)) (* 2 a))) (* (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b)) (* 2 a)) (+ (* 4 (* a c)) (* b b)) (pow (+ (* -4 (* c a)) (* b b)) 1/4) (+ (* -4 (* c a)) (* b b)) (* -2 a) (+ (* (* -2 c) (/ a b)) b) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b))) |
| 4.0ms | a | @ | -inf | ((* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4)) (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (neg b) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/ (neg b) a) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/ (* (* -2 a) c) b) (* (* -2 a) c) (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (sqrt (- (* b b) (* 4 (* a c)))) (- (+ (* 4 (* a c)) (* b b)) (* b b)) (/ (- (+ (* 4 (* a c)) (* b b)) (* b b)) (* (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b)) (* 2 a))) (* (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b)) (* 2 a)) (+ (* 4 (* a c)) (* b b)) (pow (+ (* -4 (* c a)) (* b b)) 1/4) (+ (* -4 (* c a)) (* b b)) (* -2 a) (+ (* (* -2 c) (/ a b)) b) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1365 | 7178 |
| 1 | 5086 | 7140 |
| 0 | 8418 | 6803 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(* -2 (/ (* a c) b)) |
(* -2 (* a c)) |
(* 4 (* a c)) |
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a) |
(* -4 (/ (* (pow a 2) c) b)) |
(* (pow a 2) (+ (* -4 (/ c b)) (* -4 (/ (* a (pow c 2)) (pow b 3))))) |
(* (pow a 2) (+ (* -4 (/ c b)) (* a (+ (* -8 (/ (* a (pow c 3)) (pow b 5))) (* -4 (/ (pow c 2) (pow b 3))))))) |
(* (pow a 2) (+ (* -4 (/ c b)) (* a (+ (* -4 (/ (pow c 2) (pow b 3))) (* a (+ (* -8 (/ (pow c 3) (pow b 5))) (* -1 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(pow b 2) |
(+ (* 4 (* a c)) (pow b 2)) |
(* (pow 1 1/4) (sqrt b)) |
(+ (* -1 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b) (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4)))))) (* (pow 1 1/4) (* (* a (+ (* -16/3 (/ (pow c 3) (pow b 6))) (+ (* -1/6 (/ (pow c 3) (pow b 6))) (* 2 (/ (pow c 3) (pow b 6)))))) (sqrt b))))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -2 a) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a) |
(* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(* (pow a 2) (+ (* -2 (/ b a)) (* 2 (* (sqrt (/ c a)) (sqrt -4))))) |
(* (pow a 2) (+ (* -2 (/ b a)) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(* (pow a 2) (+ (* -2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ c a)) (sqrt -4))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4))))))) |
(* a (+ (* 4 c) (/ (pow b 2) a))) |
(exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) |
(+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) (pow a 2)))) |
(+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/768 (/ (pow b 6) (pow c 3))) (+ (* -1/24576 (/ (pow b 6) (pow c 3))) (* 1/2048 (/ (pow b 6) (pow c 3)))))) (pow a 3))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -4 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -2 (/ b a)))) |
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 2 b)) a)))) |
(* (pow a 2) (+ (* -4 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 2 b)) a)))) |
(* -1 (* a (+ (* -4 c) (* -1 (/ (pow b 2) a))))) |
(exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) |
(+ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) a)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) c))) a))) |
(+ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 6) (pow c 3))) (+ (* 1/24576 (/ (pow b 6) (pow c 3))) (* 1/768 (/ (pow b 6) (pow c 3)))))) a)) (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2)))))) a)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) c))) a))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* a b)) (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4)))) |
(+ (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -2 a) (* (sqrt (/ a c)) (/ b (sqrt -4)))))) |
(+ (* 2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -2 a) (* b (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ a c)) (/ 1 (sqrt -4)))))))) |
(pow (* -4 (* a c)) 1/4) |
(+ (* -1/16 (* (pow (/ -4 (* (pow a 3) (pow c 3))) 1/4) (pow b 2))) (pow (* -4 (* a c)) 1/4)) |
(+ (* (pow b 2) (+ (* -1/16 (pow (/ -4 (* (pow a 3) (pow c 3))) 1/4)) (* -3/512 (* (pow (/ -4 (* (pow a 7) (pow c 7))) 1/4) (pow b 2))))) (pow (* -4 (* a c)) 1/4)) |
(+ (* (pow b 2) (+ (* -1/16 (pow (/ -4 (* (pow a 3) (pow c 3))) 1/4)) (* (pow b 2) (+ (* -3/512 (pow (/ -4 (* (pow a 7) (pow c 7))) 1/4)) (* -7/8192 (* (pow (/ -4 (* (pow a 11) (pow c 11))) 1/4) (pow b 2))))))) (pow (* -4 (* a c)) 1/4)) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))) |
(/ (+ (* -4 (* (pow a 2) c)) (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -4 (* (pow a 2) c)) (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 4))) (+ (* -4 (* (pow a 2) c)) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 2))) (* -1 (/ (* a (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4))))) (pow b 6)))))) b) |
(* (pow b 2) (+ 1 (* 4 (/ (* a c) (pow b 2))))) |
(sqrt b) |
(+ (sqrt b) (* -1 (* (* a c) (sqrt (/ 1 (pow b 3)))))) |
(+ (sqrt b) (+ (* -1 (* (* a c) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 (pow b 7))) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))))) |
(+ (sqrt b) (+ (* -1 (* (* a c) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt (/ 1 (pow b 7))) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))) (* (sqrt (/ 1 (pow b 11))) (+ (* -16/3 (* (pow a 3) (pow c 3))) (+ (* -1/6 (* (pow a 3) (pow c 3))) (* 2 (* (pow a 3) (pow c 3))))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -4 (* a b)) |
(* -1 (* b (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (* 4 a)))) |
(* -1 (* b (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 4 a))))) |
(* -1 (* b (+ (* -8 (/ (* (pow a 4) (pow c 3)) (pow b 6))) (+ (* -4 (/ (* (pow a 2) c) (pow b 2))) (+ (* -4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 4 a)))))) |
(* (sqrt b) (sqrt -1)) |
(+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (* (sqrt b) (sqrt -1))) |
(+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))))))) |
(+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (+ (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))))) (* (sqrt (/ 1 (pow b 11))) (* (sqrt -1) (+ (* -16/3 (* (pow a 3) (pow c 3))) (+ (* -1/6 (* (pow a 3) (pow c 3))) (* 2 (* (pow a 3) (pow c 3)))))))))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(+ (* -1 (/ b a)) (/ c b)) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b)))) |
(* c (+ (* -4 (/ (* (pow a 3) c) (pow b 3))) (* -4 (/ (pow a 2) b)))) |
(* c (+ (* -4 (/ (pow a 2) b)) (* c (+ (* -8 (/ (* (pow a 4) c) (pow b 5))) (* -4 (/ (pow a 3) (pow b 3))))))) |
(* c (+ (* -4 (/ (pow a 2) b)) (* c (+ (* -4 (/ (pow a 3) (pow b 3))) (* c (+ (* -8 (/ (pow a 4) (pow b 5))) (* -1 (/ (* a (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6)))))) b)))))))) |
(+ (* c (+ (* -1 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 4))))))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* c (+ (* -1 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* c (+ (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -16/3 (/ (pow a 3) (pow b 6))) (+ (* -1/6 (/ (pow a 3) (pow b 6))) (* 2 (/ (pow a 3) (pow b 6)))))))) (* (pow 1 1/4) (* (sqrt b) (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 4)))))))))) (* (pow 1 1/4) (sqrt b))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(* c (+ (* -2 (/ (* a b) c)) (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))))) |
(* c (+ (* -2 (/ (* a b) c)) (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))))) |
(* c (+ (* -2 (/ (* a b) c)) (+ (* -1/4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* 4 a) (/ (pow b 2) c))) |
(exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) |
(+ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (pow c 2)))) |
(+ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (pow c 2)) (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/768 (/ (pow b 6) (pow a 3))) (+ (* -1/24576 (/ (pow b 6) (pow a 3))) (* 1/2048 (/ (pow b 6) (pow a 3)))))) (pow c 3))))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(* -1 (* c (+ (* 2 (/ (* a b) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -2 (* a b)) (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -2 (* a b)) (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -4 a) (* -1 (/ (pow b 2) c))))) |
(exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) |
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) c)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 6) (pow a 3))) (+ (* 1/24576 (/ (pow b 6) (pow a 3))) (* 1/768 (/ (pow b 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2)))))) c)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
| Outputs |
|---|
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a b) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f64 (fma.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a (neg.f64 b)) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a (neg.f64 b)) a) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 a c) b) b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 c b) #s(literal 2 binary64))) a (*.f64 #s(literal -2 binary64) b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 (/.f64 c b) #s(literal 2 binary64))) a (*.f64 #s(literal -2 binary64) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 (/.f64 (*.f64 a c) b) #s(literal -2 binary64)) |
(* -2 (* a c)) |
(*.f64 #s(literal -2 binary64) (*.f64 a c)) |
(* 4 (* a c)) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 c b)) a (neg.f64 b)) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 b b)) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c)) #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) a (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)))) a (/.f64 c b)) a (neg.f64 b)) a) |
(* -4 (/ (* (pow a 2) c) b)) |
(*.f64 (/.f64 (*.f64 (*.f64 a a) c) b) #s(literal -4 binary64)) |
(* (pow a 2) (+ (* -4 (/ c b)) (* -4 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -4 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) (*.f64 a a)) |
(* (pow a 2) (+ (* -4 (/ c b)) (* a (+ (* -8 (/ (* a (pow c 3)) (pow b 5))) (* -4 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -8 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -4 binary64) (/.f64 c b))) (*.f64 a a)) |
(* (pow a 2) (+ (* -4 (/ c b)) (* a (+ (* -4 (/ (pow c 2) (pow b 3))) (* a (+ (* -8 (/ (pow c 3) (pow b 5))) (* -1 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (neg.f64 a) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b) (/.f64 (*.f64 #s(literal -8 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -4 binary64) (/.f64 c b))) (*.f64 a a)) |
(pow b 2) |
(*.f64 b b) |
(+ (* 4 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) |
(* (pow 1 1/4) (sqrt b)) |
(*.f64 (sqrt.f64 b) #s(literal 1 binary64)) |
(+ (* -1 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b))) |
(fma.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 b) #s(literal 1 binary64))) |
(+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/2 binary64)) a) (sqrt.f64 b)) #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) c) #s(literal -1 binary64))) a (*.f64 (sqrt.f64 b) #s(literal 1 binary64))) |
(+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b) (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4)))))) (* (pow 1 1/4) (* (* a (+ (* -16/3 (/ (pow c 3) (pow b 6))) (+ (* -1/6 (/ (pow c 3) (pow b 6))) (* 2 (/ (pow c 3) (pow b 6)))))) (sqrt b))))))) (* (pow 1 1/4) (sqrt b))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/2 binary64)) (sqrt.f64 b) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 11/6 binary64) (/.f64 (*.f64 #s(literal -16/3 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64)))) a) (sqrt.f64 b)))) a (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) c) #s(literal -1 binary64))) a (*.f64 (sqrt.f64 b) #s(literal 1 binary64))) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(* -2 a) |
(*.f64 #s(literal -2 binary64) a) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 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 -4 binary64)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #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 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 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 -4 binary64))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #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 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 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 -4 binary64)))))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/2 binary64)) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #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)))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 a c))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (-.f64 (/.f64 (neg.f64 b) a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) a) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(*.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a))) a) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(*.f64 (-.f64 (*.f64 #s(literal 1/8 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #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)))))) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 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 -4 binary64)) (/.f64 b a)))) a) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) #s(literal 2 binary64)) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 a c)) (/.f64 b #s(literal -4 binary64)))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) a) (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) #s(literal -1/2 binary64)) a) (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 a c)) (/.f64 b #s(literal -4 binary64))))) a) |
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(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b c))) c) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (-.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b c)))) c) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(*.f64 (neg.f64 c) (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (*.f64 (/.f64 (/.f64 b a) c) #s(literal 1/2 binary64)))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) c)))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(*.f64 (neg.f64 c) (*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) c))) c)))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (-.f64 (/.f64 b c) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 #s(literal -1/4 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))))) c)) b) c) #s(literal -1 binary64) (*.f64 #s(literal -2 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) |
(*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 c a)))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(*.f64 #s(literal -1 binary64) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 #s(literal -1/16 binary64) a) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) c) a) (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64))) (*.f64 (neg.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64)))) #s(literal 1/8 binary64)))) c) #s(literal -1 binary64) (*.f64 #s(literal 1/2 binary64) (*.f64 b (/.f64 c a)))) c))) |
(* -1 (* c (+ (* 2 (/ (* a b) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) #s(literal 4 binary64) (*.f64 (*.f64 a (/.f64 b c)) #s(literal 2 binary64)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -2 (* a b)) (* -1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 b a) #s(literal -2 binary64))) c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -2 (* a b)) (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1))))) c))) c)) (* 4 (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 4 binary64) (sqrt.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (fma.f64 (*.f64 b a) #s(literal -2 binary64) (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/32 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) c))) c)))) |
(* -1 (* c (+ (* -4 a) (* -1 (/ (pow b 2) c))))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal -4 binary64) a (neg.f64 (/.f64 (*.f64 b b) c)))) |
(exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 #s(literal 4 binary64) a)))) |
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) (* a c)))) |
(fma.f64 (/.f64 #s(literal -1/16 binary64) c) (*.f64 (*.f64 b b) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 #s(literal 4 binary64) a)))) a)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 #s(literal 4 binary64) a))))) |
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) c)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b b) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 #s(literal 4 binary64) a)))) a)) #s(literal 1/16 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 #s(literal 4 binary64) a)))) (neg.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a)) #s(literal -3/512 binary64)) c)))) c) #s(literal -1 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 #s(literal 4 binary64) a))))) |
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 6) (pow a 3))) (+ (* 1/24576 (/ (pow b 6) (pow a 3))) (* 1/768 (/ (pow b 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2)))))) c)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b b) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 #s(literal 4 binary64) a)))) a)) #s(literal 1/16 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 #s(literal 4 binary64) a)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 11/8192 binary64) (/.f64 (*.f64 #s(literal -1/2048 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 3 binary64)))) c)) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 #s(literal 4 binary64) a)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a)) #s(literal -3/512 binary64)))) c))) c) #s(literal -1 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 #s(literal 4 binary64) a))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (neg.f64 (/.f64 (*.f64 b b) c)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 a b) #s(literal 2 binary64) (/.f64 (neg.f64 b) c))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b))) b) c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 (/.f64 (-.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/4 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal -1/64 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) c)) b) c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 341 |
| 0 | 77 | 299 |
| 0 | 303 | 299 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64))) |
(/.f64 (-.f64 (neg.f64 b) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)))) |
(neg.f64 b) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b) |
(*.f64 (*.f64 #s(literal -2 binary64) a) c) |
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b)) |
(-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) |
(/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) |
(pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(*.f64 #s(literal -2 binary64) a) |
(fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) |
| Outputs |
|---|
(*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64))) |
(pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(/.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) #s(literal 2 binary64)) a) |
(/.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (neg.f64 (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (/.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) |
(/.f64 (-.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) |
(+.f64 (neg.f64 b) (*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)))) |
(neg.f64 b) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 (neg.f64 b)) (neg.f64 a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 (/.f64 b a)) |
(/.f64 (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) #s(literal 2 binary64)) a) |
(/.f64 (neg.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b))) (neg.f64 (*.f64 #s(literal 2 binary64) a))) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) |
(*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c)) (neg.f64 b)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b) |
(*.f64 (*.f64 #s(literal -2 binary64) a) c) |
(*.f64 #s(literal -2 binary64) (*.f64 a c)) |
(*.f64 c (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b))) #s(literal 2 binary64)) a) |
(/.f64 (neg.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b)))) (neg.f64 (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (/.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) a)) (/.f64 #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b)) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b)) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b)))) (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b)))) |
(/.f64 (-.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b)) #s(literal 3 binary64))) (fma.f64 b b (fma.f64 #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b)) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b)) (*.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b)))))) |
(-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b))) |
#s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b)) |
(/.f64 (-.f64 (*.f64 (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b))) (*.f64 (*.f64 b b) (*.f64 b b))) (+.f64 (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (fma.f64 (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (fma.f64 (*.f64 b b) (*.f64 b b) (*.f64 (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (*.f64 b b))))) |
(fma.f64 (*.f64 #s(literal 4 binary64) a) c (-.f64 (*.f64 b b) (*.f64 b b))) |
(fma.f64 (*.f64 a c) #s(literal 4 binary64) (-.f64 (*.f64 b b) (*.f64 b b))) |
(fma.f64 #s(literal 4 binary64) (*.f64 a c) (-.f64 (*.f64 b b) (*.f64 b b))) |
(-.f64 (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (*.f64 b b)) |
(+.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (-.f64 (*.f64 b b) (*.f64 b b))) |
(+.f64 (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (*.f64 (neg.f64 b) b)) |
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (*.f64 b b)) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (*.f64 b b))) (neg.f64 (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 (-.f64 (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (*.f64 b b)) (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) |
(-.f64 (/.f64 (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) (/.f64 (*.f64 b b) (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)))) |
(*.f64 (*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) #s(literal 2 binary64)) a) |
(*.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (*.f64 #s(literal 2 binary64) a) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (*.f64 (*.f64 a c) #s(literal 4 binary64))) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (*.f64 b b))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (*.f64 (*.f64 a c) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (*.f64 b b))))) |
(fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (*.f64 a c) #s(literal 4 binary64))) |
(fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b)) |
(fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 a c) #s(literal 4 binary64))) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal 4 binary64))) |
(-.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (*.f64 (neg.f64 b) b)) |
(+.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/8 binary64))) |
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal 1/4 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (*.f64 (*.f64 a c) #s(literal 4 binary64)))) (fma.f64 (*.f64 a c) #s(literal 4 binary64) (*.f64 b b))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (*.f64 (*.f64 a c) #s(literal -4 binary64))) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 b b) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 b b) (*.f64 b b) (fma.f64 (*.f64 (*.f64 a c) #s(literal 4 binary64)) (*.f64 (*.f64 a c) #s(literal 4 binary64)) (*.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (*.f64 (*.f64 a c) #s(literal -4 binary64)) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (*.f64 b b))))) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(fma.f64 (*.f64 a c) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(fma.f64 b b (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(-.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (*.f64 (neg.f64 b) b)) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal 4 binary64))) |
(+.f64 (*.f64 (*.f64 a c) #s(literal -4 binary64)) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 a c) #s(literal -4 binary64))) |
(*.f64 #s(literal -2 binary64) a) |
(*.f64 a #s(literal -2 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c)) (*.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c))) (*.f64 b b)) (-.f64 (*.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c)) b)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c)) #s(literal 3 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c)) (*.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c)) (-.f64 (*.f64 b b) (*.f64 (*.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c)) b)))) |
(fma.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c) b) |
(fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b) |
(fma.f64 #s(literal -2 binary64) (*.f64 c (/.f64 a b)) b) |
(+.f64 (*.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c)) b) |
(+.f64 b (*.f64 (/.f64 a b) (*.f64 #s(literal -2 binary64) c))) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64))) |
(pow.f64 (*.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b))) |
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b))))) |
(fma.f64 (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 b)) |
(fma.f64 (fabs.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 b)) |
(fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b))) (neg.f64 b)) |
Compiled 20 458 to 2 262 computations (88.9% saved)
17 alts after pruning (10 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 386 | 4 | 390 |
| Fresh | 2 | 6 | 8 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 4 | 4 |
| Total | 390 | 17 | 407 |
| Status | Accuracy | Program |
|---|---|---|
| 33.1% | (/.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) | |
| 44.6% | (/.f64 (/.f64 #s(approx (- (* b b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) | |
| 21.8% | (/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) | |
| ▶ | 50.7% | (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 50.9% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
| 36.4% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 34.3% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 34.5% | (/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) |
| ▶ | 33.1% | (/.f64 #s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b)))) (*.f64 #s(literal 2 binary64) a)) |
| ▶ | 38.2% | (/.f64 #s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) |
| ✓ | 25.3% | (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 24.9% | (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
| ▶ | 34.6% | #s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) |
| ✓ | 34.2% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a))) |
| 34.6% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 #s(approx (+ (* (/ a b) (/ c b)) 1) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a))) | |
| ✓ | 34.4% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| ✓ | 34.4% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
Compiled 862 to 551 computations (36.1% saved)
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) | |
| cost-diff | 0 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | |
| cost-diff | 0 | #s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) | |
| cost-diff | 1 | (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) | |
| cost-diff | 0 | (-.f64 b (/.f64 (*.f64 a c) b)) | |
| cost-diff | 0 | (*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b))) | |
| cost-diff | 0 | #s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b)))) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b)))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | (/.f64 b a) | |
| cost-diff | 0 | #s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) | |
| cost-diff | 1 | (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 3 | (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 531 |
| 0 | 102 | 505 |
| 1 | 195 | 478 |
| 2 | 491 | 468 |
| 3 | 1517 | 463 |
| 4 | 7022 | 463 |
| 0 | 8004 | 463 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(neg.f64 b) |
b |
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) a) |
#s(literal -4 binary64) |
a |
c |
(*.f64 b b) |
#s(literal 1/4 binary64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) |
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) |
(/.f64 b a) |
b |
a |
#s(literal -1 binary64) |
(/.f64 c b) |
c |
(/.f64 #s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b)))) |
(*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b))) |
#s(literal -2 binary64) |
(-.f64 b (/.f64 (*.f64 a c) b)) |
b |
(/.f64 (*.f64 a c) b) |
(*.f64 a c) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
c |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 a c) |
(*.f64 b b) |
b |
(neg.f64 b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)))) |
#s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)) |
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -4 binary64) a) b) |
(*.f64 #s(literal -4 binary64) a) |
#s(literal -4 binary64) |
a |
(/.f64 c b) |
c |
#s(literal 1 binary64) |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) |
(neg.f64 b) |
b |
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) |
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) |
(pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(*.f64 #s(literal -4 binary64) a) |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
a |
c |
(*.f64 b b) |
#s(literal 1/4 binary64) |
#s(literal 2 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) |
#s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (-.f64 (/.f64 c b) (/.f64 b a))) |
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(/.f64 b a) |
b |
a |
#s(literal -1 binary64) |
(/.f64 c b) |
c |
(/.f64 #s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (*.f64 (-.f64 b (*.f64 (/.f64 c b) a)) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b)))) |
#s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (*.f64 (-.f64 b (*.f64 (/.f64 c b) a)) #s(literal -2 binary64))) |
(*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b))) |
(*.f64 (-.f64 b (*.f64 (/.f64 c b) a)) #s(literal -2 binary64)) |
#s(literal -2 binary64) |
(-.f64 b (/.f64 (*.f64 a c) b)) |
(-.f64 b (*.f64 (/.f64 c b) a)) |
b |
(/.f64 (*.f64 a c) b) |
(*.f64 (/.f64 c b) a) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 #s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (/.f64 #s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 #s(literal 4 binary64) (*.f64 c a))) (*.f64 #s(literal 2 binary64) a)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b)) |
#s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
#s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 #s(literal 4 binary64) (*.f64 c a))) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) (*.f64 c a)) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
a |
c |
(*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) |
(-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 a c) |
(*.f64 c a) |
(*.f64 b b) |
b |
(neg.f64 b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)))) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)))) |
(sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))) |
#s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))) |
#s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b) |
(fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) |
(/.f64 (*.f64 #s(literal -4 binary64) a) b) |
(/.f64 (*.f64 a #s(literal -4 binary64)) b) |
(*.f64 #s(literal -4 binary64) a) |
(*.f64 a #s(literal -4 binary64)) |
#s(literal -4 binary64) |
a |
(/.f64 c b) |
c |
#s(literal 1 binary64) |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.0954793381066157 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 10.376131556704063 | (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)) | |
| accuracy | 14.064233450485139 | (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) | |
| accuracy | 25.820703774195877 | (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)))) | |
| accuracy | 1.1953125000000002 | (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) | |
| accuracy | 11.951874107592209 | (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) | |
| accuracy | 22.36161712917633 | (/.f64 #s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) | |
| accuracy | 25.820703774195877 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) | |
| accuracy | 0.0 | (*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b))) | |
| accuracy | 3.0954793381066157 | (/.f64 #s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b)))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 5.563159138947714 | (/.f64 (*.f64 a c) b) | |
| accuracy | 41.79105692573797 | #s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b)))) | |
| accuracy | 0.0 | (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) | |
| accuracy | 0.0 | (/.f64 c b) | |
| accuracy | 0.0 | (/.f64 b a) | |
| accuracy | 41.83447236299742 | #s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) | |
| accuracy | 0.4921875 | (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) | |
| accuracy | 3.0954793381066157 | (/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 14.064233450485139 | (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) | |
| accuracy | 26.487092587151736 | (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) |
| 108.0ms | 72× | 2 | valid |
| 90.0ms | 78× | 1 | valid |
| 68.0ms | 16× | 3 | valid |
| 35.0ms | 90× | 0 | valid |
Compiled 445 to 62 computations (86.1% saved)
ival-pow: 72.0ms (29.6% of total)adjust: 53.0ms (21.8% of total)ival-mult: 42.0ms (17.3% of total)ival-div: 25.0ms (10.3% of total)ival-add: 17.0ms (7% of total)ival-sqrt: 13.0ms (5.3% of total)ival-sub: 12.0ms (4.9% of total)ival-pow2: 5.0ms (2.1% of total)exact: 1.0ms (0.4% of total)ival-neg: 1.0ms (0.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(neg.f64 b) |
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) |
#s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) |
(/.f64 b a) |
(/.f64 c b) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b)))) |
(*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b))) |
(-.f64 b (/.f64 (*.f64 a c) b)) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) |
(/.f64 #s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) |
(sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)))) |
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) |
(/.f64 (*.f64 a c) b) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)) |
| Outputs |
|---|
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(/ b a) |
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* a (+ (* -4 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (* 2 (/ c b))))) |
(+ (* -2 b) (* a (+ (* 2 (/ c b)) (* a (+ (* -4 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -4 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))))))) |
(+ b (* -1 (/ (* a c) b))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* 4 (* a c)) |
(* (pow 1 1/4) (sqrt b)) |
(+ (* -1 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b) (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4)))))) (* (pow 1 1/4) (* (* a (+ (* -16/3 (/ (pow c 3) (pow b 6))) (+ (* -1/6 (/ (pow c 3) (pow b 6))) (* 2 (/ (pow c 3) (pow b 6)))))) (sqrt b))))))) (* (pow 1 1/4) (sqrt b))) |
(/ (* a c) b) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a) |
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) |
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))) |
(+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -4 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))))) |
(* 2 (/ (* a c) b)) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* -1 (/ (* a c) b)) |
(* a (- (/ b a) (/ c b))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) |
(+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) (pow a 2)))) |
(+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/768 (/ (pow b 6) (pow c 3))) (+ (* -1/24576 (/ (pow b 6) (pow c 3))) (* 1/2048 (/ (pow b 6) (pow c 3)))))) (pow a 3))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 b)) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -4 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* a b)) a))) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 4 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* a b)) a))) |
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ c b))))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) |
(+ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) a)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) c))) a))) |
(+ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 6) (pow c 3))) (+ (* 1/24576 (/ (pow b 6) (pow c 3))) (* 1/768 (/ (pow b 6) (pow c 3)))))) a)) (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2)))))) a)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) c))) a))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* -4 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -4 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* a (* c (pow (sqrt -4) 4)))))))) (* -4 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(/ (- (pow b 2) (* a c)) b) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(pow (* -4 (* a c)) 1/4) |
(+ (* -1/16 (* (pow (/ -4 (* (pow a 3) (pow c 3))) 1/4) (pow b 2))) (pow (* -4 (* a c)) 1/4)) |
(+ (* (pow b 2) (+ (* -1/16 (pow (/ -4 (* (pow a 3) (pow c 3))) 1/4)) (* -3/512 (* (pow (/ -4 (* (pow a 7) (pow c 7))) 1/4) (pow b 2))))) (pow (* -4 (* a c)) 1/4)) |
(+ (* (pow b 2) (+ (* -1/16 (pow (/ -4 (* (pow a 3) (pow c 3))) 1/4)) (* (pow b 2) (+ (* -3/512 (pow (/ -4 (* (pow a 7) (pow c 7))) 1/4)) (* -7/8192 (* (pow (/ -4 (* (pow a 11) (pow c 11))) 1/4) (pow b 2))))))) (pow (* -4 (* a c)) 1/4)) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))) |
(* b (- (+ (* -4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))) 2)) |
(* b (- (+ (* -4 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))) (* (pow a 3) (pow c 3)))) (pow b 6))) (+ (* -4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) 2)) |
(* b (+ 1 (* -1 (/ (* a c) (pow b 2))))) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(sqrt b) |
(+ (sqrt b) (* -1 (* (* a c) (sqrt (/ 1 (pow b 3)))))) |
(+ (sqrt b) (+ (* -1 (* (* a c) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 (pow b 7))) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))))) |
(+ (sqrt b) (+ (* -1 (* (* a c) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt (/ 1 (pow b 7))) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))) (* (sqrt (/ 1 (pow b 11))) (+ (* -16/3 (* (pow a 3) (pow c 3))) (+ (* -1/6 (* (pow a 3) (pow c 3))) (* 2 (* (pow a 3) (pow c 3))))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* -4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b)) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (- (/ (* a c) (pow b 2)) 1))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* (sqrt b) (sqrt -1)) |
(+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (* (sqrt b) (sqrt -1))) |
(+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))))))) |
(+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (+ (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))))) (* (sqrt (/ 1 (pow b 11))) (* (sqrt -1) (+ (* -16/3 (* (pow a 3) (pow c 3))) (+ (* -1/6 (* (pow a 3) (pow c 3))) (* 2 (* (pow a 3) (pow c 3)))))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b)))) |
(+ (* -2 b) (* c (+ (* -4 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* 2 (/ a b))))) |
(+ (* -2 b) (* c (+ (* 2 (/ a b)) (* c (+ (* -4 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (* -4 (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))))))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ (* c (+ (* -1 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 4))))))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* c (+ (* -1 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* c (+ (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -16/3 (/ (pow a 3) (pow b 6))) (+ (* -1/6 (/ (pow a 3) (pow b 6))) (* 2 (/ (pow a 3) (pow b 6)))))))) (* (pow 1 1/4) (* (sqrt b) (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 4)))))))))) (* (pow 1 1/4) (sqrt b))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))) |
(+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* -4 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))))) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* c (- (/ b c) (/ a b))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) |
(+ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (pow c 2)))) |
(+ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (pow c 2)) (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/768 (/ (pow b 6) (pow a 3))) (+ (* -1/24576 (/ (pow b 6) (pow a 3))) (* 1/2048 (/ (pow b 6) (pow a 3)))))) (pow c 3))))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -4 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* b c)) c))) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (+ (* 1/32 (/ (* (pow b 3) (pow c 2)) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) c)) (* 4 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))) c)) (* b c)) c))) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (- (* -1 (/ b c)) (* -1 (/ a b))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) |
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) c)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 6) (pow a 3))) (+ (* 1/24576 (/ (pow b 6) (pow a 3))) (* 1/768 (/ (pow b 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2)))))) c)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | c | @ | 0 | ((pow (pow (+ (* (* -4 a) c) (* b b)) 1/4) 2) (/ (- (neg b) (pow (pow (+ (* (* -4 a) c) (* b b)) 1/4) 2)) (* 2 a)) (- (neg b) (pow (pow (+ (* (* -4 a) c) (* b b)) 1/4) 2)) (neg b) (+ (* (/ b a) -1) (/ c b)) (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (/ b a) (/ c b) (/ (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (* 2 a)) (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (* -2 (- b (/ (* a c) b))) (- b (/ (* a c) b)) (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b)) (/ (- (+ (* 4 (* a c)) (* b b)) (* b b)) (* (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b)) (* 2 a))) (- (+ (* 4 (* a c)) (* b b)) (* b b)) (* (* 4 a) c) (/ (- (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (sqrt (+ (* (* c a) -4) (* b b))) (pow (+ (* (* -4 a) c) (* b b)) 1/4) (/ (* a c) b) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)) (* (+ (* (/ (* -4 a) b) (/ c b)) 1) (* b b))) |
| 7.0ms | c | @ | -inf | ((pow (pow (+ (* (* -4 a) c) (* b b)) 1/4) 2) (/ (- (neg b) (pow (pow (+ (* (* -4 a) c) (* b b)) 1/4) 2)) (* 2 a)) (- (neg b) (pow (pow (+ (* (* -4 a) c) (* b b)) 1/4) 2)) (neg b) (+ (* (/ b a) -1) (/ c b)) (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (/ b a) (/ c b) (/ (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (* 2 a)) (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (* -2 (- b (/ (* a c) b))) (- b (/ (* a c) b)) (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b)) (/ (- (+ (* 4 (* a c)) (* b b)) (* b b)) (* (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b)) (* 2 a))) (- (+ (* 4 (* a c)) (* b b)) (* b b)) (* (* 4 a) c) (/ (- (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (sqrt (+ (* (* c a) -4) (* b b))) (pow (+ (* (* -4 a) c) (* b b)) 1/4) (/ (* a c) b) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)) (* (+ (* (/ (* -4 a) b) (/ c b)) 1) (* b b))) |
| 3.0ms | b | @ | -inf | ((pow (pow (+ (* (* -4 a) c) (* b b)) 1/4) 2) (/ (- (neg b) (pow (pow (+ (* (* -4 a) c) (* b b)) 1/4) 2)) (* 2 a)) (- (neg b) (pow (pow (+ (* (* -4 a) c) (* b b)) 1/4) 2)) (neg b) (+ (* (/ b a) -1) (/ c b)) (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (/ b a) (/ c b) (/ (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (* 2 a)) (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (* -2 (- b (/ (* a c) b))) (- b (/ (* a c) b)) (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b)) (/ (- (+ (* 4 (* a c)) (* b b)) (* b b)) (* (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b)) (* 2 a))) (- (+ (* 4 (* a c)) (* b b)) (* b b)) (* (* 4 a) c) (/ (- (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (sqrt (+ (* (* c a) -4) (* b b))) (pow (+ (* (* -4 a) c) (* b b)) 1/4) (/ (* a c) b) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)) (* (+ (* (/ (* -4 a) b) (/ c b)) 1) (* b b))) |
| 3.0ms | a | @ | -inf | ((pow (pow (+ (* (* -4 a) c) (* b b)) 1/4) 2) (/ (- (neg b) (pow (pow (+ (* (* -4 a) c) (* b b)) 1/4) 2)) (* 2 a)) (- (neg b) (pow (pow (+ (* (* -4 a) c) (* b b)) 1/4) 2)) (neg b) (+ (* (/ b a) -1) (/ c b)) (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (/ b a) (/ c b) (/ (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (* 2 a)) (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (* -2 (- b (/ (* a c) b))) (- b (/ (* a c) b)) (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b)) (/ (- (+ (* 4 (* a c)) (* b b)) (* b b)) (* (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b)) (* 2 a))) (- (+ (* 4 (* a c)) (* b b)) (* b b)) (* (* 4 a) c) (/ (- (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (sqrt (+ (* (* c a) -4) (* b b))) (pow (+ (* (* -4 a) c) (* b b)) 1/4) (/ (* a c) b) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)) (* (+ (* (/ (* -4 a) b) (/ c b)) 1) (* b b))) |
| 3.0ms | c | @ | inf | ((pow (pow (+ (* (* -4 a) c) (* b b)) 1/4) 2) (/ (- (neg b) (pow (pow (+ (* (* -4 a) c) (* b b)) 1/4) 2)) (* 2 a)) (- (neg b) (pow (pow (+ (* (* -4 a) c) (* b b)) 1/4) 2)) (neg b) (+ (* (/ b a) -1) (/ c b)) (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (/ b a) (/ c b) (/ (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (* 2 a)) (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (* -2 (- b (/ (* a c) b))) (- b (/ (* a c) b)) (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b)) (/ (- (+ (* 4 (* a c)) (* b b)) (* b b)) (* (+ (sqrt (+ (* -4 (* a c)) (* b b))) (neg b)) (* 2 a))) (- (+ (* 4 (* a c)) (* b b)) (* b b)) (* (* 4 a) c) (/ (- (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (* 2 a)) (- (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (sqrt (+ (* (* c a) -4) (* b b))) (pow (+ (* (* -4 a) c) (* b b)) 1/4) (/ (* a c) b) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)) (* (+ (* (/ (* -4 a) b) (/ c b)) 1) (* b b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1373 | 7326 |
| 1 | 5148 | 7257 |
| 0 | 8730 | 6919 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
b |
(+ b (* -2 (/ (* a c) b))) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(* -2 b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(/ b a) |
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(+ (* -2 b) (* a (+ (* -4 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (* 2 (/ c b))))) |
(+ (* -2 b) (* a (+ (* 2 (/ c b)) (* a (+ (* -4 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -4 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))))))) |
(+ b (* -1 (/ (* a c) b))) |
(* -2 (/ (* a c) b)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* 4 (* a c)) |
(* (pow 1 1/4) (sqrt b)) |
(+ (* -1 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b) (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4)))))) (* (pow 1 1/4) (* (* a (+ (* -16/3 (/ (pow c 3) (pow b 6))) (+ (* -1/6 (/ (pow c 3) (pow b 6))) (* 2 (/ (pow c 3) (pow b 6)))))) (sqrt b))))))) (* (pow 1 1/4) (sqrt b))) |
(/ (* a c) b) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* (sqrt (* a c)) (sqrt -4)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a)))) |
(* a (- (* 1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ c a)) (sqrt -4)) (/ b a))))) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2))))) a) |
(/ (+ (* -2 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -2 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))))) a) |
(* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) |
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))) |
(+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))) (+ (* -4 (/ (+ (* 1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow a 3))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))))) |
(* 2 (/ (* a c) b)) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* -1 (/ (* a c) b)) |
(* a (- (/ b a) (/ c b))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) |
(+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) (pow a 2)))) |
(+ (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (* -4 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/768 (/ (pow b 6) (pow c 3))) (+ (* -1/24576 (/ (pow b 6) (pow c 3))) (* 1/2048 (/ (pow b 6) (pow c 3)))))) (pow a 3))))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1))))))) |
(* -1 (* a (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) (* 1/2 b)) a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (- (/ b a) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ (+ (* 1/2 b) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* a b)) (* 2 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -2 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 2 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a))) a)) (* -1/2 (* a b))) a)) (* (sqrt (* a c)) (sqrt -1))) a)) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 b)) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -4 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* a b)) a))) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (+ (* 1/32 (/ (* (pow a 2) (pow b 3)) c)) (* 1/2 (* (sqrt (/ a c)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))))))) a)) (* 4 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))))) a)) (* a b)) a))) |
(* -1 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (- (* -1 (/ b a)) (* -1 (/ c b))))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a)) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) |
(+ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2))))) a)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) c))) a))) |
(+ (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/2048 (/ (pow b 6) (pow c 3))) (+ (* 1/24576 (/ (pow b 6) (pow c 3))) (* 1/768 (/ (pow b 6) (pow c 3)))))) a)) (* (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/128 (/ (pow b 4) (pow c 2))) (* 1/512 (/ (pow b 4) (pow c 2)))))) a)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 c)) (* -1 (log (/ -1 a))))))) c))) a))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -4)))) (* 1/2 (/ 1 a))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* b (- (* b (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))))) (* 1/2 (/ 1 a))))) |
(- (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(- (* b (- (* b (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(* -1 b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* -2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4)))))))) (* -2 (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* -4 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -4 (* b (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))) (* 1/2 (/ 1 (* a (* c (pow (sqrt -4) 4)))))))) (* -4 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(/ (- (pow b 2) (* a c)) b) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(pow (* -4 (* a c)) 1/4) |
(+ (* -1/16 (* (pow (/ -4 (* (pow a 3) (pow c 3))) 1/4) (pow b 2))) (pow (* -4 (* a c)) 1/4)) |
(+ (* (pow b 2) (+ (* -1/16 (pow (/ -4 (* (pow a 3) (pow c 3))) 1/4)) (* -3/512 (* (pow (/ -4 (* (pow a 7) (pow c 7))) 1/4) (pow b 2))))) (pow (* -4 (* a c)) 1/4)) |
(+ (* (pow b 2) (+ (* -1/16 (pow (/ -4 (* (pow a 3) (pow c 3))) 1/4)) (* (pow b 2) (+ (* -3/512 (pow (/ -4 (* (pow a 7) (pow c 7))) 1/4)) (* -7/8192 (* (pow (/ -4 (* (pow a 11) (pow c 11))) 1/4) (pow b 2))))))) (pow (* -4 (* a c)) 1/4)) |
(* b (+ 1 (* -2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4))) (/ 1 a))) |
(* b (- (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (/ c (pow b 2)) (/ (* a (pow c 2)) (pow b 4)))) (/ 1 a))) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* b (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* b (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2))) (/ 1 a))) |
(* b (- (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))) (* (pow a 2) (pow c 3)))) (pow b 6))) (+ (* -2 (/ (+ (* -1 (* a (pow c 2))) (* 1/2 (* a (pow c 2)))) (pow b 4))) (/ c (pow b 2)))) (/ 1 a))) |
(* b (- (+ (* -4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2)))) 2)) |
(* b (- (+ (* -4 (/ (+ (* -1 (* a (* c (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))))) (+ (* -1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))) (* (pow a 3) (pow c 3)))) (pow b 6))) (+ (* -4 (/ (+ (* -1 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 2 (/ (* a c) (pow b 2))))) 2)) |
(* b (+ 1 (* -1 (/ (* a c) (pow b 2))))) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(sqrt b) |
(+ (sqrt b) (* -1 (* (* a c) (sqrt (/ 1 (pow b 3)))))) |
(+ (sqrt b) (+ (* -1 (* (* a c) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 (pow b 7))) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))))) |
(+ (sqrt b) (+ (* -1 (* (* a c) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt (/ 1 (pow b 7))) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2))))) (* (sqrt (/ 1 (pow b 11))) (+ (* -16/3 (* (pow a 3) (pow c 3))) (+ (* -1/6 (* (pow a 3) (pow c 3))) (* 2 (* (pow a 3) (pow c 3))))))))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (/ c b)) |
(* -1 (/ (+ c (/ (* a (pow c 2)) (pow b 2))) b)) |
(* -1 (/ (+ c (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ c (+ (* 1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6)))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -2 (* a c))) b)) |
(* -1 (/ (- (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (- (* 1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))))) b)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (/ 1 a)))) |
(* -1 (/ (+ c (+ (* -2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6))) (+ (* 2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* 2 (* a c)) (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4))))) b)) |
(* -1 (/ (+ (* -4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (pow a 4) (pow c 4)))) (pow b 6))) (+ (* 2 (* a c)) (+ (* 2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 3)) (pow b 4)))))) b)) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (- (/ (* a c) (pow b 2)) 1))) |
(* -1 (* b (+ 2 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* (sqrt b) (sqrt -1)) |
(+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (* (sqrt b) (sqrt -1))) |
(+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))))))) |
(+ (* -1 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (+ (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -2 (* (pow a 2) (pow c 2))) (* 1/2 (* (pow a 2) (pow c 2)))))) (* (sqrt (/ 1 (pow b 11))) (* (sqrt -1) (+ (* -16/3 (* (pow a 3) (pow c 3))) (+ (* -1/6 (* (pow a 3) (pow c 3))) (* 2 (* (pow a 3) (pow c 3)))))))))) |
(+ b (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(+ (* -1 (/ b a)) (* c (+ (/ 1 b) (/ (* a c) (pow b 3))))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* 2 (/ (* (pow a 2) c) (pow b 5))) (/ a (pow b 3)))) (/ 1 b)))) |
(- (* c (- (* 2 (/ (* (pow a 2) c) (pow b 3))) (* -2 (/ a b)))) (* 2 b)) |
(- (* c (- (* c (- (* 4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))) (* -2 (/ a b)))) (* 2 b)) |
(+ (* -1 (/ b a)) (* c (+ (* -2 (* c (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3)))))) (/ 1 b)))) |
(+ (* -1 (/ b a)) (* c (+ (* c (+ (* -2 (* c (+ (* -1 (/ (* a (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (/ (pow a 2) (pow b 5)))))) (* -2 (+ (* -1 (/ a (pow b 3))) (* 1/2 (/ a (pow b 3))))))) (/ 1 b)))) |
(+ (* -2 b) (* c (+ (* -4 (* c (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))) (* 2 (/ a b))))) |
(+ (* -2 b) (* c (+ (* 2 (/ a b)) (* c (+ (* -4 (* c (+ (* -1 (/ (* a (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) a)) (/ (pow a 3) (pow b 5)))))) (* -4 (+ (* -1 (/ (pow a 2) (pow b 3))) (* 1/2 (/ (pow a 2) (pow b 3)))))))))) |
(* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -2 (/ a b)) (* c (+ (* -2 (/ (pow a 2) (pow b 3))) (* c (+ (* -4 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ (* c (+ (* -1 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 4))))))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* c (+ (* -1 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* c (+ (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -16/3 (/ (pow a 3) (pow b 6))) (+ (* -1/6 (/ (pow a 3) (pow b 6))) (* 2 (/ (pow a 3) (pow b 6)))))))) (* (pow 1 1/4) (* (sqrt b) (+ (* -2 (/ (pow a 2) (pow b 4))) (* 1/2 (/ (pow a 2) (pow b 4)))))))))) (* (pow 1 1/4) (sqrt b))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (* -1/2 (/ b (* a c))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4))))))) |
(* c (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))) (+ (* -1/2 (/ b (* a c))) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))))))) |
(* c (- (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (* -1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c)))) |
(* c (- (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (+ (* (sqrt (/ a c)) (sqrt -4)) (/ b c))))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(- (+ (* -1 (/ (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (pow c 2))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -1 (/ (+ (* (sqrt (/ c a)) (/ (* b (+ (* -2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (sqrt -4))) (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -4) 4)))) (pow c 3))) (* 2 (* (sqrt (/ c a)) (/ 1 (sqrt -4))))) (+ (* -2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (+ (* -2 (/ b (* a (pow (sqrt -4) 2)))) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))))) |
(+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2))))) |
(+ (* -4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))) (+ (* -4 (/ (+ (* 1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (pow c 3))) (+ (* 4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))))) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* c (- (/ b c) (/ a b))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) |
(+ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (pow c 2)))) |
(+ (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) (pow c 2)) (/ (* (exp (* 1/4 (+ (log (* -4 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/768 (/ (pow b 6) (pow a 3))) (+ (* -1/24576 (/ (pow b 6) (pow a 3))) (* 1/2048 (/ (pow b 6) (pow a 3)))))) (pow c 3))))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* -1 (* c (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* 1/2 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1/2 (/ b a)) (* 1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c))))) |
(* -1 (* c (+ (* -1 (* (sqrt (/ 1 (* a c))) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1))))) c)) (* -1/2 (/ b a))) c))))) |
(* -1 (* c (- (/ b c) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* 1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (* -1 (/ (- (* -1 (/ (- (* 1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (+ (* -1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (+ (* -1/16 (/ (* (pow b 3) c) (pow a 2))) (* 1/2 (* (sqrt (/ 1 (* a c))) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))))))) (+ (* -1/8 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/4 (* (sqrt (/ (pow c 3) (pow a 3))) (* (pow b 2) (sqrt -1)))))) c)) (* -1/2 (/ (* b c) a))) c))) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -4 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* b c)) c))) |
(+ (* -2 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -4 (/ (+ (* 1/32 (/ (* (pow b 3) (pow c 2)) a)) (* 1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))))))) c)) (* 4 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))) c)) (* b c)) c))) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (- (* -1 (/ b c)) (* -1 (/ a b))))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 4) (sqrt -1)))) (* 1/4 (* (sqrt (/ c a)) (* (pow b 2) (sqrt -1))))) c)) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) |
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) c)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 6) (pow a 3))) (+ (* 1/24576 (/ (pow b 6) (pow a 3))) (* 1/768 (/ (pow b 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2)))))) c)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
| Outputs |
|---|
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a b) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) |
(/ (+ (* -1 b) (* a (+ (/ c b) (/ (* a (pow c 2)) (pow b 3))))) a) |
(/.f64 (fma.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)) a (neg.f64 b)) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* 2 (/ (* a (pow c 3)) (pow b 5))) (/ (pow c 2) (pow b 3)))) (/ c b)))) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 c b)) a (neg.f64 b)) a) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 c a) b) b)) |
(- (* a (- (* 2 (/ (* a (pow c 2)) (pow b 3))) (* -2 (/ c b)))) (* 2 b)) |
(fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal 2 binary64) (*.f64 (/.f64 c b) #s(literal 2 binary64))) a (*.f64 #s(literal -2 binary64) b)) |
(- (* a (- (* a (- (* 4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))) (* -2 (/ c b)))) (* 2 b)) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) #s(literal 4 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))))) a (*.f64 (/.f64 c b) #s(literal 2 binary64))) a (*.f64 #s(literal -2 binary64) b)) |
(/ b a) |
(/.f64 b a) |
(/ (+ (* -1 b) (* a (+ (* -2 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (/ c b)))) a) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (/.f64 c b)) a (neg.f64 b)) a) |
(/ (+ (* -1 b) (* a (+ (* a (+ (* -2 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -2 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))))) (/ c b)))) a) |
(/.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 b b)) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c)) #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) a (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)))) a (/.f64 c b)) a (neg.f64 b)) a) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(*.f64 #s(literal 2 binary64) (-.f64 (/.f64 (*.f64 c a) b) b)) |
(+ (* -2 b) (* a (+ (* -4 (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))) (* 2 (/ c b))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 (/.f64 c b) #s(literal 2 binary64))) a (*.f64 #s(literal -2 binary64) b)) |
(+ (* -2 b) (* a (+ (* 2 (/ c b)) (* a (+ (* -4 (* a (+ (* -1 (/ (* c (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3))))) (pow b 2))) (+ (* -1/8 (/ (* b (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) c)) (/ (pow c 3) (pow b 5)))))) (* -4 (+ (* -1 (/ (pow c 2) (pow b 3))) (* 1/2 (/ (pow c 2) (pow b 3)))))))))) |
(fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (fma.f64 (fma.f64 (neg.f64 c) (/.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)) (*.f64 b b)) (fma.f64 (*.f64 b (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) c)) #s(literal -1/8 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))))) a (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -1/2 binary64)))) a (*.f64 (/.f64 c b) #s(literal 2 binary64))) a (*.f64 #s(literal -2 binary64) b)) |
(+ b (* -1 (/ (* a c) b))) |
(fma.f64 (neg.f64 a) (/.f64 c b) b) |
(* -2 (/ (* a c) b)) |
(*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 20 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a) |
(* 4 (* a c)) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(* (pow 1 1/4) (sqrt b)) |
(*.f64 (sqrt.f64 b) #s(literal 1 binary64)) |
(+ (* -1 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b))) |
(fma.f64 (*.f64 (neg.f64 a) c) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 b) #s(literal 1 binary64))) |
(+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b))) |
(fma.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/2 binary64)) a) (sqrt.f64 b)) #s(literal 1 binary64) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) c) #s(literal -1 binary64))) a (*.f64 (sqrt.f64 b) #s(literal 1 binary64))) |
(+ (* a (+ (* -1 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b) (+ (* -2 (/ (pow c 2) (pow b 4))) (* 1/2 (/ (pow c 2) (pow b 4)))))) (* (pow 1 1/4) (* (* a (+ (* -16/3 (/ (pow c 3) (pow b 6))) (+ (* -1/6 (/ (pow c 3) (pow b 6))) (* 2 (/ (pow c 3) (pow b 6)))))) (sqrt b))))))) (* (pow 1 1/4) (sqrt b))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) #s(literal -3/2 binary64)) (sqrt.f64 b) (*.f64 (*.f64 (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 11/6 binary64) (/.f64 (*.f64 #s(literal -16/3 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64)))) a) (sqrt.f64 b)))) a (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) c) #s(literal -1 binary64))) a (*.f64 (sqrt.f64 b) #s(literal 1 binary64))) |
(/ (* a c) b) |
(/.f64 (*.f64 c a) b) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 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 -4 binary64)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #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 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 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 -4 binary64))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #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 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 5 binary64))))) #s(literal 1/16 binary64) (fma.f64 (*.f64 (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 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 -4 binary64)))))) a) |
(* -1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) #s(literal -1/2 binary64)) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (* -1/2 (/ b a))) |
(*.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (*.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))))) |
(+ (* -1/2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1/2 (/ b a)) (+ (* -1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3))))))) |
(fma.f64 #s(literal -1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 b a)) (fma.f64 (*.f64 #s(literal -1/4 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64))) (*.f64 #s(literal 1/16 binary64) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #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)))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -4))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (*.f64 c a))) |
(* a (- (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
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(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 #s(literal 4 binary64) a)))) |
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) (* a c)))) |
(fma.f64 (/.f64 #s(literal -1/16 binary64) c) (*.f64 (*.f64 b b) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 #s(literal 4 binary64) a)))) a)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 #s(literal 4 binary64) a))))) |
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2))))) c)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b b) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 #s(literal 4 binary64) a)))) a)) #s(literal 1/16 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 #s(literal 4 binary64) a)))) (neg.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a)) #s(literal -3/512 binary64)) c)))) c) #s(literal -1 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 #s(literal 4 binary64) a))))) |
(+ (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/2048 (/ (pow b 6) (pow a 3))) (+ (* 1/24576 (/ (pow b 6) (pow a 3))) (* 1/768 (/ (pow b 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/128 (/ (pow b 4) (pow a 2))) (* 1/512 (/ (pow b 4) (pow a 2)))))) c)) (* 1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 4 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(fma.f64 (/.f64 (fma.f64 (*.f64 (*.f64 b b) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 #s(literal 4 binary64) a)))) a)) #s(literal 1/16 binary64) (neg.f64 (/.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 #s(literal 4 binary64) a)))) (neg.f64 (/.f64 (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 11/8192 binary64) (/.f64 (*.f64 #s(literal -1/2048 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 a #s(literal 3 binary64)))) c)) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 #s(literal 4 binary64) a)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a)) #s(literal -3/512 binary64)))) c))) c) #s(literal -1 binary64) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (fma.f64 (log.f64 (/.f64 #s(literal -1 binary64) c)) #s(literal -1 binary64) (log.f64 (*.f64 #s(literal 4 binary64) a))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (neg.f64 (/.f64 (*.f64 b b) c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 398 |
| 0 | 102 | 368 |
| 0 | 425 | 366 |
| 1× | iter limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | unsound |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(neg.f64 b) |
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) |
#s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) |
(/.f64 b a) |
(/.f64 c b) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b)))) |
(*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b))) |
(-.f64 b (/.f64 (*.f64 a c) b)) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) |
(/.f64 #s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) |
(sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)))) |
(pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) |
(/.f64 (*.f64 a c) b) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)) |
| Outputs |
|---|
(*.f64 (pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) |
(pow.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(/.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) #s(literal 2 binary64)) a) |
(/.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (neg.f64 (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (/.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b))) |
(/.f64 (-.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))))))) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) |
(+.f64 (neg.f64 b) (*.f64 (neg.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))) |
(neg.f64 b) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 #s(literal -1 binary64) (/.f64 b a))) (*.f64 (/.f64 c b) (/.f64 c b))) (-.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 c b))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 c b) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 #s(literal -1 binary64) (/.f64 b a)) (-.f64 (*.f64 (/.f64 c b) (/.f64 c b)) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 c b))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 c b)) |
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 c b)) |
(+.f64 (/.f64 c b) (*.f64 #s(literal -1 binary64) (/.f64 b a))) |
#s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 c b))) |
(/.f64 (neg.f64 b) (neg.f64 a)) |
(/.f64 b a) |
(/.f64 (neg.f64 c) (neg.f64 b)) |
(/.f64 c b) |
(/.f64 (/.f64 #s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (*.f64 (-.f64 b (*.f64 a (/.f64 c b))) #s(literal -2 binary64))) #s(literal 2 binary64)) a) |
(/.f64 (neg.f64 #s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (*.f64 (-.f64 b (*.f64 a (/.f64 c b))) #s(literal -2 binary64)))) (neg.f64 (*.f64 #s(literal 2 binary64) a))) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (*.f64 (-.f64 b (*.f64 a (/.f64 c b))) #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (*.f64 (-.f64 b (*.f64 a (/.f64 c b))) #s(literal -2 binary64))) |
(*.f64 (-.f64 b (*.f64 a (/.f64 c b))) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (-.f64 b (*.f64 a (/.f64 c b)))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 a (/.f64 c b)) (*.f64 a (/.f64 c b)))) (+.f64 b (*.f64 a (/.f64 c b)))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (*.f64 a (/.f64 c b)) #s(literal 3 binary64))) (fma.f64 b b (fma.f64 (*.f64 a (/.f64 c b)) (*.f64 a (/.f64 c b)) (*.f64 b (*.f64 a (/.f64 c b)))))) |
(-.f64 b (*.f64 a (/.f64 c b))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b))) |
(/.f64 (+.f64 (pow.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (neg.f64 b) #s(literal 3 binary64))) (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b))))) |
(fma.f64 (pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (neg.f64 b)) |
(fma.f64 (neg.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 b)) |
(fma.f64 (fabs.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 b)) |
(fma.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 b)) |
(+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)))) |
(/.f64 (/.f64 #s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 #s(literal 4 binary64) (*.f64 c a))) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (neg.f64 #s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 #s(literal 4 binary64) (*.f64 c a)))) (neg.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)))) |
(/.f64 #s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 #s(literal 4 binary64) (*.f64 c a))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 #s(literal 4 binary64) (*.f64 c a))) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) (*.f64 c a)) |
(*.f64 (*.f64 c a) #s(literal 4 binary64)) |
(*.f64 c (*.f64 #s(literal 4 binary64) a)) |
(/.f64 (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)))) #s(literal 2 binary64)) a) |
(/.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))))) (neg.f64 (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a)) |
(-.f64 (/.f64 (neg.f64 b) (*.f64 #s(literal 2 binary64) a)) (/.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (*.f64 b b) (*.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))))) (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))))) |
(/.f64 (-.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))) #s(literal 3 binary64))) (fma.f64 b b (fma.f64 (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))) (*.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))))))) |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)))) |
(pow.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b)) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b))) |
(*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/8 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/8 binary64))) |
(pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) |
(exp.f64 (*.f64 (log.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1/4 binary64))) |
(*.f64 a (/.f64 c b)) |
(/.f64 (neg.f64 (*.f64 c a)) (neg.f64 b)) |
(/.f64 (*.f64 c a) b) |
(*.f64 (pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))) |
(*.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) |
(pow.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) #s(literal 1/4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) |
(sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) (*.f64 (*.f64 b b) (*.f64 b b))) (-.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 b b))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 3 binary64)) (pow.f64 (*.f64 b b) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (*.f64 c a) #s(literal -4 binary64)) (-.f64 (*.f64 (*.f64 b b) (*.f64 b b)) (*.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 b b))))) |
(fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 b b)) |
(fma.f64 (fabs.f64 b) (fabs.f64 b) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(fma.f64 b b (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 a #s(literal -4 binary64)) c (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(-.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 (neg.f64 b) b)) |
(+.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) b) b) |
(*.f64 (fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b)) |
(*.f64 (*.f64 b b) (fma.f64 (/.f64 (*.f64 a #s(literal -4 binary64)) b) (/.f64 c b) #s(literal 1 binary64))) |
Compiled 16 804 to 2 039 computations (87.9% saved)
22 alts after pruning (13 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 308 | 10 | 318 |
| Fresh | 2 | 3 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 7 | 7 |
| Total | 313 | 22 | 335 |
| Status | Accuracy | Program |
|---|---|---|
| 33.1% | (/.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) | |
| 44.6% | (/.f64 (/.f64 #s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 #s(literal 4 binary64) (*.f64 c a))) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) | |
| 36.4% | (/.f64 (-.f64 (neg.f64 b) (pow.f64 #s(approx (pow (+ (* (* -4 a) c) (* b b)) 1/4) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a)) | |
| 16.0% | (/.f64 (-.f64 (neg.f64 b) (pow.f64 #s(approx (pow (+ (* (* -4 a) c) (* b b)) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal -4 binary64) c)) (*.f64 (log.f64 a) #s(literal -1 binary64))))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a)) | |
| 21.3% | (/.f64 (-.f64 (neg.f64 b) (pow.f64 #s(approx (pow (+ (* (* -4 a) c) (* b b)) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal -4 binary64) a)) (*.f64 (log.f64 c) #s(literal -1 binary64))))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a)) | |
| 33.0% | (/.f64 (-.f64 (neg.f64 b) (pow.f64 #s(approx (pow (+ (* (* -4 a) c) (* b b)) 1/4) (sqrt.f64 b)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a)) | |
| ✓ | 50.9% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
| 36.4% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) | |
| ✓ | 34.3% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 34.5% | (/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) |
| 8.3% | (/.f64 #s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) #s(approx (* -2 (- b (/ (* a c) b))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) | |
| 38.0% | (/.f64 #s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (*.f64 (fma.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) | |
| 25.5% | (/.f64 #s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (*.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) | |
| ✓ | 25.3% | (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 24.9% | (/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 34.6% | #s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) |
| 11.4% | #s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 c b) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 #s(literal -1 binary64) (/.f64 b a)) (-.f64 (*.f64 (/.f64 c b) (/.f64 c b)) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 c b)))))) | |
| 8.4% | #s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) #s(approx (+ (* (/ b a) -1) (/ c b)) (/.f64 c b))) | |
| ✓ | 34.2% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a))) |
| 34.6% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 #s(approx (+ (* (/ a b) (/ c b)) 1) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a))) | |
| ✓ | 34.4% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| ✓ | 34.4% | #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
Compiled 1 908 to 725 computations (62% saved)
| Inputs |
|---|
#s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) #s(approx (+ (* (/ b a) -1) (/ c b)) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) |
#s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 #s(approx (+ (* (/ a b) (/ c b)) 1) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a))) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) #s(approx (* -2 (- b (/ (* a c) b))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (*.f64 (+.f64 (sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 (fma.f64 (/.f64 a b) (/.f64 c b) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a))) |
(/.f64 #s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (/.f64 #s(approx (- (* b b) (+ (* -4 (* c a)) (* b b))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 #s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 #s(literal 4 binary64) (*.f64 c a))) (+.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 (fma.f64 (/.f64 (*.f64 #s(literal -4 binary64) a) b) (/.f64 c b) #s(literal 1 binary64)) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 (fma.f64 (/.f64 (/.f64 (*.f64 c a) b) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (pow.f64 #s(approx (pow (+ (* (* -4 a) c) (* b b)) 1/4) (sqrt.f64 b)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (pow.f64 #s(approx (pow (+ (* (* -4 a) c) (* b b)) 1/4) (pow.f64 (*.f64 (*.f64 c a) #s(literal -4 binary64)) #s(literal 1/4 binary64))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (pow.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (*.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 1/4 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (+ (* 4 (* a c)) (* b b)) (* b b)) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (*.f64 (fma.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal -4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (fma.f64 #s(literal 4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b)) (*.f64 (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -4 binary64) a) c (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (fma.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (-.f64 (pow.f64 (neg.f64 b) #s(literal 3 binary64)) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))) (neg.f64 b) (fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (/.f64 (+.f64 (pow.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) #s(literal 3 binary64)) (pow.f64 (/.f64 c b) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (*.f64 #s(literal -1 binary64) (/.f64 b a)) (-.f64 (*.f64 (/.f64 c b) (/.f64 c b)) (*.f64 (*.f64 #s(literal -1 binary64) (/.f64 b a)) (/.f64 c b)))))) |
(/.f64 (-.f64 (neg.f64 b) (pow.f64 #s(approx (pow (+ (* (* -4 a) c) (* b b)) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal -4 binary64) a)) (*.f64 (log.f64 c) #s(literal -1 binary64))))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (pow.f64 #s(approx (pow (+ (* (* -4 a) c) (* b b)) 1/4) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal -4 binary64) c)) (*.f64 (log.f64 a) #s(literal -1 binary64))))) #s(literal 2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) |
4 calls:
| 15.0ms | b |
| 12.0ms | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 9.0ms | c |
| 9.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.5% | 5 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 56.0% | 4 | a |
| 88.4% | 3 | b |
| 53.2% | 2 | c |
Compiled 20 to 23 computations (-15% saved)
| Inputs |
|---|
#s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) #s(approx (+ (* (/ b a) -1) (/ c b)) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) |
#s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 #s(approx (+ (* (/ a b) (/ c b)) 1) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a))) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) #s(approx (* -2 (- b (/ (* a c) b))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* 4 (* a c)))) (fma.f64 (*.f64 #s(literal -2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) |
1 calls:
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.0% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) #s(approx (+ (* (/ b a) -1) (/ c b)) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) |
#s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 #s(approx (+ (* (/ a b) (/ c b)) 1) #s(literal 1 binary64)) b) c (/.f64 (neg.f64 b) a))) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) c) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) #s(approx (* -2 (- b (/ (* a c) b))) (*.f64 (/.f64 (*.f64 c a) b) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (/ (- (* b b) (+ (* -4 (* c a)) (* b b))) (+ (sqrt (+ (* -4 (* c a)) (* b b))) (neg b))) (*.f64 #s(literal -2 binary64) (-.f64 b (/.f64 (*.f64 a c) b)))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))) |
2 calls:
| 3.0ms | b |
| 3.0ms | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.0% | 3 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 66.7% | 2 | b |
Compiled 18 to 17 computations (5.6% saved)
| Inputs |
|---|
#s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) #s(approx (+ (* (/ b a) -1) (/ c b)) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| Outputs |
|---|
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
1 calls:
| 4.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 66.3% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) #s(approx (+ (* (/ b a) -1) (/ c b)) (/.f64 c b))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
| Outputs |
|---|
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
4 calls:
| 1.0ms | a |
| 1.0ms | c |
| 1.0ms | b |
| 1.0ms | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.4% | 1 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 34.4% | 1 | a |
| 34.4% | 1 | c |
| 34.4% | 1 | b |
Compiled 20 to 23 computations (-15% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) #s(approx (+ (* (/ b a) -1) (/ c b)) (/.f64 c b))) |
| Outputs |
|---|
#s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) #s(approx (+ (* (/ b a) -1) (/ c b)) (/.f64 c b))) |
4 calls:
| 1.0ms | c |
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 8.4% | 1 | b |
| 8.4% | 1 | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 #s(literal 4 binary64) (*.f64 a c))))) (*.f64 #s(literal 2 binary64) a)) |
| 8.4% | 1 | a |
| 8.4% | 1 | c |
Compiled 20 to 23 computations (-15% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.7568806814698677e+59 | 1.367328263076178e+60 |
| 50.0ms | -1.138227433411941e-60 | -8.444746049039398e-88 |
| 22.0ms | 26× | 2 | valid |
| 15.0ms | 200× | 0 | valid |
| 7.0ms | 46× | 1 | valid |
| 5.0ms | 64× | 0 | invalid |
Compiled 690 to 576 computations (16.5% saved)
ival-mult: 26.0ms (65.3% of total)ival-sub: 4.0ms (10.1% of total)ival-div: 3.0ms (7.5% of total)adjust: 3.0ms (7.5% of total)ival-sqrt: 3.0ms (7.5% of total)ival-neg: 2.0ms (5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 25.0ms | 1.063832743679491e-16 | 9.545691371218286e-15 |
| 1.0ms | -1.138227433411941e-60 | -8.444746049039398e-88 |
| 17.0ms | 112× | 0 | valid |
| 2.0ms | 30× | 0 | invalid |
Compiled 858 to 700 computations (18.4% saved)
ival-neg: 9.0ms (56.5% of total)ival-mult: 3.0ms (18.8% of total)ival-div: 1.0ms (6.3% of total)ival-sub: 1.0ms (6.3% of total)ival-sqrt: 1.0ms (6.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 41.0ms | -6.802478512782847e-289 | 5.728018970440913e-304 |
| 14.0ms | 176× | 0 | valid |
| 8.0ms | 109× | 0 | invalid |
Compiled 548 to 438 computations (20.1% saved)
ival-mult: 7.0ms (48.3% of total)ival-div: 2.0ms (13.8% of total)ival-sub: 2.0ms (13.8% of total)ival-sqrt: 2.0ms (13.8% of total)ival-neg: 1.0ms (6.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | -6.187770494077346e-280 | -6.802478512782847e-289 |
| 11.0ms | 143× | 0 | valid |
| 5.0ms | 65× | 0 | invalid |
| 0.0ms | 1× | 1 | valid |
Compiled 416 to 344 computations (17.3% saved)
ival-mult: 5.0ms (47% of total)ival-sub: 2.0ms (18.8% of total)ival-div: 1.0ms (9.4% of total)ival-sqrt: 1.0ms (9.4% of total)ival-neg: 1.0ms (9.4% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 67 | 307 |
| 1 | 121 | 306 |
| 2 | 282 | 306 |
| 3 | 639 | 305 |
| 4 | 1473 | 305 |
| 5 | 4895 | 305 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 b #s(literal -8684406692798715/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 780000000000000042588707862310427877083086351936430199013376 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -8684406692798715/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 4381000474388761/40564819207303340847894502572032 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -1920143424077791/2743062034396844341627968125593604635037196317966166035056000994228098690879836473582587849768181396806642362668936055872479091931372323951612051859122835149807249350355003132267795098895967012320756270631179897595796976964454084495146379250195728106130226298287754794921070036903071843030324651025760256 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) #s(approx (+ (* (/ b a) -1) (/ c b)) (/.f64 c b))) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -8684406692798715/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 780000000000000042588707862310427877083086351936430199013376 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -8684406692798715/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 4381000474388761/40564819207303340847894502572032 binary64)) (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -8684406692798715/28948022309329048855892746252171976963317496166410141009864396001978282409984 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) (if (<=.f64 b #s(literal 4381000474388761/40564819207303340847894502572032 binary64)) (/.f64 (+.f64 b (sqrt.f64 #s(approx (- (* b b) (* 4 (* a c))) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) (neg.f64 a))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -1920143424077791/2743062034396844341627968125593604635037196317966166035056000994228098690879836473582587849768181396806642362668936055872479091931372323951612051859122835149807249350355003132267795098895967012320756270631179897595796976964454084495146379250195728106130226298287754794921070036903071843030324651025760256 binary64)) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) #s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 (neg.f64 b) a))) |
#s(approx (/ (- (neg b) (sqrt (- (* b b) (* 4 (* a c))))) (* 2 a)) (/.f64 c (neg.f64 b))) |
#s(approx (/ (- (neg b) (* (pow (+ (* -4 (* c a)) (* b b)) 1/4) (pow (+ (* -4 (* c a)) (* b b)) 1/4))) (* 2 a)) #s(approx (+ (* (/ b a) -1) (/ c b)) (/.f64 c b))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1373 | 7326 |
| 1 | 5148 | 7257 |
| 0 | 8730 | 6919 |
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 73 | 51 |
| 0 | 507 | 47 |
| 0 | 1365 | 7178 |
| 1 | 5086 | 7140 |
| 0 | 8418 | 6803 |
| 0 | 545 | 2723 |
| 1 | 1785 | 2700 |
| 2 | 7653 | 2700 |
| 0 | 8082 | 2562 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 317 to 72 computations (77.3% saved)
Compiled 878 to 228 computations (74% saved)
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