
Time bar (total: 9.1s)
| 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)
| 840.0ms | 5 628× | 0 | valid |
| 339.0ms | 1 190× | 2 | valid |
| 333.0ms | 1 281× | 1 | valid |
| 214.0ms | 932× | 0 | invalid |
| 55.0ms | 157× | 3 | valid |
ival-mult: 410.0ms (29.2% of total)ival-neg: 344.0ms (24.5% of total)ival-div: 205.0ms (14.6% of total)adjust: 125.0ms (8.9% of total)ival-sqrt: 122.0ms (8.7% of total)ival-add: 98.0ms (7% of total)ival-sub: 78.0ms (5.6% of total)exact: 10.0ms (0.7% of total)ival-true: 8.0ms (0.6% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 99 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 62 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 13 | 0 | - | 0 | - | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 5 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 4 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 4 binary64) a) c) |
| 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 | - | (*.f64 #s(literal 4 binary64) a) |
| 0 | 0 | - | 0 | - | b |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | oflow-rescue | 92 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | overflow | 92 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 19 | |
| ↳ | (*.f64 b b) | overflow | 81 | |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | cancellation | 62 | 0 |
/.f64 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | u/n | 13 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 7 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | underflow | 20 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 36 | |
| ↳ | (*.f64 b b) | underflow | 43 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | uflow-rescue | 7 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 7 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 36 | |
| ↳ | (*.f64 b b) | underflow | 43 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | nan-rescue | 5 | 0 |
| ↳ | (*.f64 b b) | overflow | 81 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 19 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 116 | 0 |
| - | 21 | 119 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 116 | 0 | 0 |
| - | 21 | 0 | 119 |
| number | freq |
|---|---|
| 0 | 119 |
| 1 | 98 |
| 2 | 36 |
| 3 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 44.0ms | 348× | 0 | valid |
| 28.0ms | 74× | 2 | valid |
| 15.0ms | 82× | 1 | valid |
| 3.0ms | 8× | 3 | valid |
Compiled 161 to 46 computations (71.4% saved)
ival-mult: 25.0ms (39.3% of total)ival-sub: 12.0ms (18.9% of total)adjust: 7.0ms (11% of total)ival-sqrt: 6.0ms (9.4% of total)ival-div: 5.0ms (7.9% of total)ival-add: 4.0ms (6.3% of total)ival-neg: 2.0ms (3.1% of total)exact: 1.0ms (1.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 54 | 158 |
| 1 | 172 | 151 |
| 2 | 492 | 151 |
| 3 | 938 | 151 |
| 4 | 1378 | 151 |
| 5 | 1569 | 151 |
| 6 | 1693 | 151 |
| 0 | 14 | 17 |
| 0 | 23 | 17 |
| 1 | 43 | 17 |
| 2 | 98 | 17 |
| 3 | 190 | 17 |
| 4 | 289 | 17 |
| 5 | 357 | 17 |
| 6 | 381 | 17 |
| 7 | 419 | 17 |
| 8 | 457 | 17 |
| 0 | 457 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
Compiled 17 to 14 computations (17.6% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 56.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
Compiled 17 to 14 computations (17.6% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 1 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 70 |
| 0 | 23 | 70 |
| 1 | 43 | 70 |
| 2 | 98 | 70 |
| 3 | 190 | 70 |
| 4 | 289 | 70 |
| 5 | 357 | 70 |
| 6 | 381 | 70 |
| 7 | 419 | 70 |
| 8 | 457 | 70 |
| 0 | 457 | 66 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 #s(literal 4 binary64) a) |
#s(literal 4 binary64) |
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 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b)) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 4 binary64))) |
(*.f64 #s(literal 4 binary64) a) |
(*.f64 a #s(literal 4 binary64)) |
#s(literal 4 binary64) |
a |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.0 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| accuracy | 3.1897841692701983 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 14.583712104095747 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| accuracy | 23.153297766955472 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 17.0ms | 174× | 0 | valid |
| 13.0ms | 41× | 1 | valid |
| 12.0ms | 37× | 2 | valid |
| 1.0ms | 4× | 3 | valid |
Compiled 72 to 16 computations (77.8% saved)
ival-mult: 15.0ms (50% of total)ival-div: 3.0ms (10% of total)adjust: 3.0ms (10% of total)ival-sqrt: 3.0ms (10% of total)ival-sub: 2.0ms (6.7% of total)ival-add: 2.0ms (6.7% of total)ival-neg: 1.0ms (3.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| Outputs |
|---|
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) 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)))))))) |
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 (/ 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (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))) |
(* 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)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -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 (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 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))))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -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) |
(* 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 (/ b a)) |
(* -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 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -2 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 (+ 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)))))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 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)))))))) |
(+ 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 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* 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 (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -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)))))) |
(* -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 | |
|---|---|---|---|---|
| 10.0ms | a | @ | 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)))) |
| 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 | 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 | 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 | 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)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 545 | 2842 |
| 1 | 1916 | 2807 |
| 2 | 7910 | 2807 |
| 0 | 8090 | 2667 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) 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)))))))) |
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 (/ 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (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))) |
(* 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)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -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 (* 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 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))))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -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) |
(* 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 (/ b a)) |
(* -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 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -2 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 (+ 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)))))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 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)))))))) |
(+ 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 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* 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 (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -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)))))) |
(* -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 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/4 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 20 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 a #s(literal -2 binary64)) (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(* 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 #s(literal -4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
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(*.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 |
| 2 | 508 | 50 |
| 3 | 6176 | 49 |
| 0 | 8751 | 45 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| Outputs |
|---|
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 2 binary64)))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
(*.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 3 binary64)) (pow.f64 b #s(literal 12 binary64)))) (fma.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 b #s(literal 8 binary64)))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (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))) |
(*.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)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) |
(*.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(*.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 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (/.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)))) |
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 4 binary64))) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1 binary64)) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (*.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (*.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) (*.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) (*.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (-.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (fma.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))))) |
(/.f64 (*.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (*.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 2 binary64)))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (hypot.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64))) (hypot.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64)) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 4 binary64))) (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3 binary64))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 6 binary64))) (*.f64 (+.f64 (pow.f64 (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 2 binary64)) (pow.f64 b #s(literal 8 binary64))) (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 12 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 6 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 18 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 9 binary64))) (*.f64 (fma.f64 (pow.f64 (*.f64 c (*.f64 a #s(literal 4 binary64))) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (pow.f64 b #s(literal 12 binary64))) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 c (*.f64 b b)) a) #s(literal 4 binary64))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 16 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c (*.f64 b b)) (*.f64 #s(literal -4 binary64) a))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
(/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) |
(neg.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) a (*.f64 (neg.f64 b) b))) |
(neg.f64 (fma.f64 (neg.f64 b) b (*.f64 c (*.f64 a #s(literal 4 binary64))))) |
(neg.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) |
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(fma.f64 (neg.f64 b) (/.f64 (neg.f64 b) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
(fma.f64 (neg.f64 b) (/.f64 (*.f64 b b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (neg.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))) |
(fma.f64 (neg.f64 b) (/.f64 (*.f64 b b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))) |
(fma.f64 (neg.f64 b) (/.f64 (*.f64 b b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
(fma.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))) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 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))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
(fma.f64 (*.f64 b b) (/.f64 (neg.f64 b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (neg.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))) |
(fma.f64 (*.f64 b b) (/.f64 (neg.f64 b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))) |
(fma.f64 (*.f64 b b) (/.f64 (neg.f64 b) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
(fma.f64 b (/.f64 b (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
(-.f64 (/.f64 (pow.f64 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))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
(-.f64 (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
(-.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 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 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) |
(-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) (/.f64 (pow.f64 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))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
(+.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 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))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
(+.f64 (/.f64 (pow.f64 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))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (neg.f64 (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))) |
(+.f64 (/.f64 (pow.f64 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))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (neg.f64 (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))) |
(+.f64 (/.f64 (pow.f64 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))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
(+.f64 (/.f64 (*.f64 b b) (-.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (/.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) (-.f64 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 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) b) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) |
(+.f64 b (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) |
(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))) (neg.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/4 binary64)))) |
(*.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))) |
(*.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 (sqrt.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) |
(*.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 (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 (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 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (-.f64 (pow.f64 b #s(literal 8 binary64)) (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 4 binary64))) #s(literal 1/8 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) #s(literal 1 binary64)) |
(pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 1/2 binary64)) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (fabs.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (fabs.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))))) |
(/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))))) |
(/.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)))) |
(neg.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))) |
(fabs.f64 (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))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))))) (sinh.f64 (log.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))) |
Compiled 17 326 to 2 038 computations (88.2% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 446 | 12 | 458 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 447 | 12 | 459 |
| Status | Accuracy | Program |
|---|---|---|
| 22.1% | (/.f64 (+.f64 (neg.f64 b) (/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 56.1% | (/.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)) |
| 17.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))))) (*.f64 #s(literal 2 binary64) a)) | |
| 37.4% | (/.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)) | |
| ▶ | 29.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
| 35.5% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 35.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
| ▶ | 25.9% | (/.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)) |
| 34.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| ▶ | 35.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 31.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c)) | |
| 35.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
Compiled 654 to 482 computations (26.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 1 | (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)) | |
| 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 | (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b 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 | (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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 342 |
| 0 | 66 | 342 |
| 1 | 127 | 333 |
| 2 | 270 | 333 |
| 3 | 529 | 333 |
| 4 | 1627 | 333 |
| 5 | 5181 | 333 |
| 0 | 8050 | 330 |
| 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 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
b |
a |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
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)) |
#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) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) |
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)) |
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) |
(/.f64 (*.f64 a (/.f64 c b)) b) |
(*.f64 a (/.f64 c b)) |
a |
(/.f64 c b) |
c |
b |
#s(literal -2 binary64) |
#s(literal 2 binary64) |
(neg.f64 b) |
(*.f64 #s(literal 2 binary64) a) |
| 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 (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 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 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 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
b |
a |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) |
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (neg.f64 b)) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
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 c b) a) #s(literal -2 binary64))) (*.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 (/.f64 c b) a) #s(literal -2 binary64))) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(*.f64 (*.f64 (/.f64 c b) a) #s(literal -2 binary64)) |
(*.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) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (/.f64 c b) b) (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)) b)) |
(*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)) |
(*.f64 (fma.f64 (/.f64 (/.f64 c b) b) (*.f64 #s(literal 2 binary64) a) #s(literal -2 binary64)) b) |
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) |
(fma.f64 (/.f64 (*.f64 (/.f64 c b) a) b) #s(literal -2 binary64) #s(literal 2 binary64)) |
(/.f64 (*.f64 a (/.f64 c b)) b) |
(/.f64 (*.f64 (/.f64 c b) a) b) |
(*.f64 a (/.f64 c b)) |
(*.f64 (/.f64 c b) a) |
a |
(/.f64 c b) |
c |
b |
#s(literal -2 binary64) |
#s(literal 2 binary64) |
(neg.f64 b) |
(*.f64 #s(literal 2 binary64) a) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.1897841692701983 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 5.449498840249646 | (*.f64 a (/.f64 c b)) | |
| accuracy | 6.352909704225466 | (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)) | |
| accuracy | 41.194601595271244 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) | |
| accuracy | 0.0 | (*.f64 #s(literal 2 binary64) a) | |
| accuracy | 3.1897841692701983 | (/.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 | 6.907195948270646 | (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) | |
| accuracy | 42.157935984905855 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) | |
| accuracy | 3.1897841692701983 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 14.583712104095747 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) | |
| accuracy | 19.95655593154583 | #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) | |
| accuracy | 23.153297766955472 | (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) | |
| accuracy | 0.0 | (/.f64 (neg.f64 b) a) | |
| accuracy | 0.0 | (neg.f64 b) | |
| accuracy | 41.22386763855726 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) | |
| accuracy | 1.0 | (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) | |
| accuracy | 3.1897841692701983 | (/.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 | 14.583712104095747 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) | |
| accuracy | 23.153297766955472 | (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
| 62.0ms | 174× | 0 | valid |
| 22.0ms | 37× | 2 | valid |
| 17.0ms | 41× | 1 | valid |
| 3.0ms | 4× | 3 | valid |
Compiled 285 to 34 computations (88.1% saved)
ival-mult: 19.0ms (28.5% of total)ival-add: 18.0ms (27% of total)ival-div: 12.0ms (18% of total)adjust: 8.0ms (12% of total)ival-sqrt: 6.0ms (9% of total)ival-sub: 2.0ms (3% of total)exact: 1.0ms (1.5% of total)ival-neg: 1.0ms (1.5% 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 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.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 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) |
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a (/.f64 c b)) |
| Outputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) 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)))))))) |
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)) |
(* -2 (/ a b)) |
(* -2 b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
2 |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* 2 a) |
(/ (* a c) b) |
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (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))) |
(* 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)))))) |
(* 2 (/ (* a c) b)) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* -2 (/ (* a c) (pow b 2))) |
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -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 (* 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 (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 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))))))))) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2)) |
(- (pow b 2) (* 4 (* a c))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -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) |
(* 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 (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -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 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -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 (+ 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)))))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 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)))))))) |
(+ 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 (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* 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)))))) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -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)))))) |
(* -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 (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | 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)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (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) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (* (/ (* a (/ c b)) b) -2) 2) (+ (* (* c a) -4) (* b b)) (- (* b b) (* (* 4 a) c)) (* 2 a) (* a (/ c b))) |
| 6.0ms | 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)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (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) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (* (/ (* a (/ c b)) b) -2) 2) (+ (* (* c a) -4) (* b b)) (- (* b b) (* (* 4 a) c)) (* 2 a) (* a (/ c b))) |
| 3.0ms | b | @ | 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)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (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) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (* (/ (* a (/ c b)) b) -2) 2) (+ (* (* c a) -4) (* b b)) (- (* b b) (* (* 4 a) c)) (* 2 a) (* a (/ c b))) |
| 3.0ms | 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)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (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) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (* (/ (* a (/ c b)) b) -2) 2) (+ (* (* c a) -4) (* b b)) (- (* b b) (* (* 4 a) c)) (* 2 a) (* a (/ c b))) |
| 3.0ms | 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)) (/ (neg b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (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) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ (* (/ (* a (/ c b)) b) -2) 2) (+ (* (* c a) -4) (* b b)) (- (* b b) (* (* 4 a) c)) (* 2 a) (* a (/ c b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 602 | 3091 |
| 1 | 2132 | 3042 |
| 0 | 8428 | 2893 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) 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)))))))) |
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)) |
(* -2 (/ a b)) |
(* -2 b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
2 |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* 2 a) |
(/ (* a c) b) |
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (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))) |
(* 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)))))) |
(* 2 (/ (* a c) b)) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* -2 (/ (* a c) (pow b 2))) |
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -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 (* 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 (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (- (* 2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 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))))))))) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(/ (+ (* -2 (* a c)) (* 2 (pow b 2))) (pow b 2)) |
(- (pow b 2) (* 4 (* a c))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -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) |
(* 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 (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -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 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -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 (+ 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)))))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 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)))))))) |
(+ 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 (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* 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)))))) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -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)))))) |
(* -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 (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
| Outputs |
|---|
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) a)) b) #s(literal -1/4 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -2 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c) |
(* 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 #s(literal -4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) 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 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 20 binary64) a)) b) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -4 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 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 (*.f64 #s(literal -4 binary64) a) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -2 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -2 binary64) (/.f64 c b))) a b) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(* -2 (/ a b)) |
(*.f64 (/.f64 a b) #s(literal -2 binary64)) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(*.f64 #s(literal -2 binary64) (-.f64 b (*.f64 a (/.f64 c b)))) |
2 |
#s(literal 2 binary64) |
(+ 2 (* -2 (/ (* a c) (pow b 2)))) |
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) |
(pow b 2) |
(*.f64 b b) |
(+ (* -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 c) b) |
(*.f64 a (/.f64 c b)) |
(* 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 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(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 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(fma.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 3 binary64))) (pow.f64 a #s(literal 5 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 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))))) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -4 binary64))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))) (/ b a))) |
(*.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 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a))) a) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(*.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 3 binary64))) (pow.f64 a #s(literal 5 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 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b a)))) 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 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c 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))))) |
(*.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 3 binary64))) (pow.f64 a #s(literal 5 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 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))))) 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 #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 3 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 (/.f64 (*.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 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a)))))) a) |
(* 2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 b a) (/.f64 c b))) a) |
(* -2 (/ (* a c) (pow b 2))) |
(*.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64)) |
(* a (+ (* -2 (/ c (pow b 2))) (* 2 (/ 1 a)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) a)) a) |
(* -4 (* a c)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/8 binary64)) (*.f64 #s(literal 1/2 binary64) b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 #s(literal 1/2 binary64) b (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.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 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/128 binary64)))) (neg.f64 a))) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 a c))) |
(* -1 (* a (+ (* 2 (* (sqrt (/ c a)) (sqrt -1))) (/ b a)))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64))) b) (neg.f64 a)))) |
(* -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)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/64 binary64)))) (neg.f64 a)) b) (neg.f64 a)))) |
(* -1 (* a (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (*.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 1/4 binary64))))) |
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(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 b a) c) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -4 binary64)))))) c) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(*.f64 (fma.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)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 b a) c) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -4 binary64))))))) c) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)) (/.f64 (neg.f64 b) c)) c) |
(* 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 #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 (*.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 (+ (* 1/2 (* (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 (*.f64 b 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 (*.f64 b 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 -1/8 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 #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 (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 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(*.f64 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 b c) (/.f64 a b))) c) |
(* c (+ (* -2 (/ a (pow b 2))) (* 2 (/ 1 c)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 a b) b) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) c)) c) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (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 (/.f64 b a) #s(literal -1/2 binary64))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (/.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))) (neg.f64 c)))) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.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 (/.f64 #s(literal 1 binary64) a) c)) (*.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 (sqrt.f64 (/.f64 c a)) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64))) (*.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 -1/64 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 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 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 (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(*.f64 (neg.f64 c) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 a b) (/.f64 b c)))) |
(* -1 (* c (- (* 2 (/ a (pow b 2))) (* 2 (/ 1 c))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 #s(literal 2 binary64) b) (/.f64 a b) (/.f64 #s(literal -2 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 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 285 |
| 0 | 66 | 285 |
| 1 | 218 | 276 |
| 2 | 1448 | 276 |
| 0 | 8305 | 276 |
| 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 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.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 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) |
(fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a (/.f64 c b)) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) |
(*.f64 (/.f64 (+.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))))) (/.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 (/.f64 (fma.f64 b b (+.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) (fma.f64 b b (+.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b (sqrt.f64 (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 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))) (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64))) (-.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (+.f64 (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)) (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))) (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a)))))) |
(/.f64 (neg.f64 (/.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 (neg.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))))) (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)))) |
(/.f64 (neg.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)))) (neg.f64 (+.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (-.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) b))) (neg.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (neg.f64 (fma.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)))))) (neg.f64 (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) a) a (*.f64 #s(literal 2 binary64) (/.f64 b #s(literal -2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) a) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 b) a))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) a) (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 b))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) a))) |
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(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 (neg.f64 b) b))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (+.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 (neg.f64 b) b)))))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 #s(literal 4 binary64) a) c) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b)))) |
(-.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 (neg.f64 b) b)) |
(-.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 #s(literal -4 binary64) a)) c)) |
(-.f64 (*.f64 b b) (*.f64 (neg.f64 (*.f64 a c)) #s(literal -4 binary64))) |
(-.f64 (*.f64 b b) (*.f64 (neg.f64 c) (*.f64 #s(literal -4 binary64) a))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) |
(fabs.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) b) b)))) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 3 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) b) b))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 3 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) b) b)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) b) b))))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))) (/.f64 (*.f64 (*.f64 (neg.f64 b) b) (*.f64 b b)) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b)))) |
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (neg.f64 c) (*.f64 #s(literal 4 binary64) a))) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) |
(*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) |
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) #s(literal 2 binary64)) |
(pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 1 binary64)) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) |
(sqrt.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 2 binary64))) |
(fabs.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) |
(*.f64 #s(literal 2 binary64) a) |
(*.f64 a #s(literal 2 binary64)) |
(/.f64 (neg.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 a a))) (neg.f64 (-.f64 a a))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64)))) (neg.f64 (fma.f64 a a (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 a a))))) |
(/.f64 (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 a a)) (-.f64 a a)) |
(/.f64 (+.f64 (pow.f64 a #s(literal 3 binary64)) (pow.f64 a #s(literal 3 binary64))) (fma.f64 a a (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 a a)))) |
(-.f64 (/.f64 (*.f64 a a) (-.f64 a a)) (/.f64 (*.f64 a a) (-.f64 a a))) |
(+.f64 (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 a a)))) (/.f64 (pow.f64 a #s(literal 3 binary64)) (fma.f64 a a (*.f64 (*.f64 #s(literal 2 binary64) a) (-.f64 a a))))) |
(+.f64 a a) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 c) a)) b) |
(/.f64 (neg.f64 (*.f64 a (neg.f64 c))) b) |
(/.f64 (neg.f64 (neg.f64 (*.f64 a c))) b) |
(/.f64 (*.f64 (neg.f64 c) a) (neg.f64 b)) |
(/.f64 (*.f64 a (neg.f64 c)) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 a c)) (neg.f64 b)) |
(/.f64 (*.f64 a c) b) |
Compiled 28 793 to 2 913 computations (89.9% saved)
21 alts after pruning (20 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 645 | 15 | 660 |
| Fresh | 2 | 5 | 7 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 651 | 21 | 672 |
| Status | Accuracy | Program |
|---|---|---|
| 55.0% | (fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) | |
| 36.1% | (/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))) | |
| ▶ | 28.3% | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
| 29.8% | (/.f64 (/.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 #s(literal 2 binary64) a)) | |
| 25.5% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.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))) | |
| ▶ | 56.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (+.f64 a a)) |
| 27.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 37.4% | (/.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)) |
| 29.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a)) | |
| 35.5% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 26.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/.f64 (*.f64 (*.f64 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a)) | |
| 25.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a)) | |
| 25.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 8.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
| 35.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 #s(literal -2 binary64) (-.f64 b (*.f64 a (/.f64 c b)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 25.4% | (+.f64 (/.f64 (*.f64 b b) (*.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 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.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)))) | |
| 56.0% | (+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) | |
| ▶ | 34.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| ✓ | 35.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 31.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c)) | |
| 35.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
Compiled 1 188 to 759 computations (36.1% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) | |
| cost-diff | 0 | (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) | |
| cost-diff | 1 | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 6 | (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (neg.f64 b)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) | |
| cost-diff | 0 | (/.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)) | |
| cost-diff | 0 | (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64))) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (neg.f64 c) | |
| cost-diff | 0 | (/.f64 (neg.f64 c) b) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) 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 a a)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 424 |
| 0 | 75 | 392 |
| 1 | 143 | 380 |
| 2 | 319 | 380 |
| 3 | 706 | 377 |
| 4 | 1940 | 376 |
| 5 | 5568 | 376 |
| 0 | 8247 | 373 |
| 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 a 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 a a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
c |
b |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) |
#s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64))) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) |
(*.f64 a (/.f64 c b)) |
a |
(/.f64 c b) |
c |
b |
#s(literal 2 binary64) |
(*.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 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(*.f64 (*.f64 c a) #s(literal -4 binary64)) |
(*.f64 c a) |
c |
a |
#s(literal -4 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (neg.f64 b)) |
(sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) |
(*.f64 b b) |
b |
(neg.f64 b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (+.f64 a 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)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) |
(+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 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 a a) |
(*.f64 #s(literal 2 binary64) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
c |
b |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64)))) |
#s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64))) |
#s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64))) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) |
(*.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64)) |
(*.f64 a (/.f64 c b)) |
(*.f64 (/.f64 c b) a) |
a |
(/.f64 c b) |
c |
b |
#s(literal 2 binary64) |
(*.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 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (neg.f64 b)) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) |
(*.f64 (*.f64 c a) #s(literal -4 binary64)) |
(*.f64 #s(literal -4 binary64) (*.f64 a c)) |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
#s(literal -4 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
(fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (neg.f64 b)) |
(+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (neg.f64 b)) |
(sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) |
(*.f64 b b) |
b |
(neg.f64 b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
a |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.1897841692701983 | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 19.912748773559986 | (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (neg.f64 b)) | |
| accuracy | 19.95655593154583 | #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) | |
| accuracy | 23.153297766955472 | (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) | |
| accuracy | 3.1897841692701983 | (/.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)) | |
| accuracy | 14.583712104095747 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) | |
| accuracy | 23.153297766955472 | (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) | |
| accuracy | 40.04695258779044 | #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) | |
| accuracy | 3.1897841692701983 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 5.449498840249646 | (*.f64 a (/.f64 c b)) | |
| accuracy | 41.194601595271244 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) | |
| accuracy | 41.286400096168144 | #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64))) | |
| accuracy | 0.0 | (/.f64 (neg.f64 c) b) | |
| accuracy | 0.0 | (neg.f64 c) | |
| accuracy | 42.19095767069729 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| accuracy | 1.0 | (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) | |
| accuracy | 3.1897841692701983 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (+.f64 a a)) | |
| accuracy | 14.583712104095747 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) | |
| accuracy | 23.153297766955472 | (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
| 154.0ms | 174× | 0 | valid |
| 62.0ms | 41× | 1 | valid |
| 26.0ms | 37× | 2 | valid |
| 4.0ms | 4× | 3 | valid |
Compiled 321 to 38 computations (88.2% saved)
ival-mult: 49.0ms (52.2% of total)ival-div: 13.0ms (13.9% of total)adjust: 10.0ms (10.7% of total)ival-add: 9.0ms (9.6% of total)ival-sqrt: 8.0ms (8.5% of total)ival-sub: 2.0ms (2.1% of total)ival-neg: 2.0ms (2.1% of total)exact: 1.0ms (1.1% 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 a 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 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) |
#s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64))) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 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)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (neg.f64 b)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(*.f64 a (/.f64 c b)) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) |
| Outputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) 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)))))))) |
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 b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(* 2 (/ (* a c) b)) |
(* (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))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(/ (* a c) b) |
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (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))) |
(* 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 (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(exp (* 1/4 (+ (log (neg (* 4 c))) (* -1 (log (/ 1 a)))))) |
(+ (exp (* 1/4 (+ (log (neg (* 4 c))) (* -1 (log (/ 1 a)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (neg (* 4 c))) (* -1 (log (/ 1 a))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (neg (* 4 c))) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (neg (* 4 c))) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (neg (* 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 (neg (* 4 c))) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (neg (* 4 c))) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (neg (* 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 (neg (* 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 (- (/ (pow b 2) a) (* 4 c))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -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 (* 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 (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(exp (* 1/4 (+ (log (neg (* -4 c))) (* -1 (log (/ -1 a)))))) |
(+ (exp (* 1/4 (+ (log (neg (* -4 c))) (* -1 (log (/ -1 a)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (neg (* -4 c))) (* -1 (log (/ -1 a))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (neg (* -4 c))) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -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 (neg (* -4 c))) (* -1 (log (/ -1 a))))))) c))) a))) |
(+ (exp (* 1/4 (+ (log (neg (* -4 c))) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -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 (neg (* -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 (neg (* -4 c))) (* -1 (log (/ -1 a))))))) c))) a))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 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))))))))) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(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)) |
(- (pow b 2) (* 4 (* a c))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -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) |
(* 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 (- (* 2 (/ (* a c) (pow b 2))) 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))))) |
(* -1 (/ b a)) |
(* -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 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -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 (+ 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)))))))) |
(* (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)))))))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 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)))))))) |
(+ 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 c) |
(+ (* 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 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* 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)))))) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(exp (* 1/4 (+ (log (neg (* 4 a))) (* -1 (log (/ 1 c)))))) |
(+ (exp (* 1/4 (+ (log (neg (* 4 a))) (* -1 (log (/ 1 c)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (neg (* 4 a))) (* -1 (log (/ 1 c))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (neg (* 4 a))) (* -1 (log (/ 1 c)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (neg (* 4 a))) (* -1 (log (/ 1 c))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (neg (* 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 (neg (* 4 a))) (* -1 (log (/ 1 c)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (neg (* 4 a))) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (neg (* 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 (neg (* 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 (- (/ (pow b 2) c) (* 4 a))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -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)))))) |
(* -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 (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(exp (* 1/4 (+ (log (neg (* -4 a))) (* -1 (log (/ -1 c)))))) |
(+ (exp (* 1/4 (+ (log (neg (* -4 a))) (* -1 (log (/ -1 c)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (neg (* -4 a))) (* -1 (log (/ -1 c))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (neg (* -4 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -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 (neg (* -4 a))) (* -1 (log (/ -1 c))))))) a))) c))) |
(+ (exp (* 1/4 (+ (log (neg (* -4 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -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 (neg (* -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 (neg (* -4 a))) (* -1 (log (/ -1 c))))))) a))) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | b | @ | 0 | ((/ (+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (+ a 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)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (* (* a (/ c b)) 2) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))) (neg b)) (/ (+ (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))) (neg b)) (* 2 a)) (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (* (* c a) -4) (* b b)) (* a (/ c b)) (- (* b b) (* (* 4 a) c)) (- (* b b) (* (* 4 a) c))) |
| 6.0ms | b | @ | -inf | ((/ (+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (+ a 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)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (* (* a (/ c b)) 2) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))) (neg b)) (/ (+ (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))) (neg b)) (* 2 a)) (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (* (* c a) -4) (* b b)) (* a (/ c b)) (- (* b b) (* (* 4 a) c)) (- (* b b) (* (* 4 a) c))) |
| 5.0ms | c | @ | inf | ((/ (+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (+ a 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)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (* (* a (/ c b)) 2) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))) (neg b)) (/ (+ (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))) (neg b)) (* 2 a)) (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (* (* c a) -4) (* b b)) (* a (/ c b)) (- (* b b) (* (* 4 a) c)) (- (* b b) (* (* 4 a) c))) |
| 4.0ms | b | @ | inf | ((/ (+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (+ a 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)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (* (* a (/ c b)) 2) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))) (neg b)) (/ (+ (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))) (neg b)) (* 2 a)) (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (* (* c a) -4) (* b b)) (* a (/ c b)) (- (* b b) (* (* 4 a) c)) (- (* b b) (* (* 4 a) c))) |
| 4.0ms | c | @ | -inf | ((/ (+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (+ a 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)) (/ (neg c) b) (neg c) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (* (* a (/ c b)) 2) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))) (neg b)) (/ (+ (* (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (sqrt (- (* b b) (* (* 4 a) c))))) (neg b)) (* 2 a)) (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (sqrt (- (* b b) (* (* 4 a) c))) (+ (* (* c a) -4) (* b b)) (* a (/ c b)) (- (* b b) (* (* 4 a) c)) (- (* b b) (* (* 4 a) c))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 857 | 4413 |
| 1 | 3127 | 4173 |
| 0 | 9161 | 3986 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) 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)))))))) |
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 b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(* 2 (/ (* a c) b)) |
(* (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))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(/ (* a c) b) |
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (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))) |
(* 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 (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(exp (* 1/4 (+ (log (neg (* 4 c))) (* -1 (log (/ 1 a)))))) |
(+ (exp (* 1/4 (+ (log (neg (* 4 c))) (* -1 (log (/ 1 a)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (neg (* 4 c))) (* -1 (log (/ 1 a))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (neg (* 4 c))) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (neg (* 4 c))) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (neg (* 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 (neg (* 4 c))) (* -1 (log (/ 1 a)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (neg (* 4 c))) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (neg (* 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 (neg (* 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 (- (/ (pow b 2) a) (* 4 c))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(* -2 (* (sqrt (* a c)) (sqrt -1))) |
(* -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 (* 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 (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(exp (* 1/4 (+ (log (neg (* -4 c))) (* -1 (log (/ -1 a)))))) |
(+ (exp (* 1/4 (+ (log (neg (* -4 c))) (* -1 (log (/ -1 a)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (neg (* -4 c))) (* -1 (log (/ -1 a))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (neg (* -4 c))) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -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 (neg (* -4 c))) (* -1 (log (/ -1 a))))))) c))) a))) |
(+ (exp (* 1/4 (+ (log (neg (* -4 c))) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -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 (neg (* -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 (neg (* -4 c))) (* -1 (log (/ -1 a))))))) c))) a))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 4 c)))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 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))))))))) |
(/ (+ (* -2 (pow b 2)) (* 2 (* a c))) b) |
(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)) |
(- (pow b 2) (* 4 (* a c))) |
(/ (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -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) |
(* 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 (- (* 2 (/ (* a c) (pow b 2))) 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))))) |
(* -1 (/ b a)) |
(* -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 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -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 (+ 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)))))))) |
(* (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)))))))))) |
(* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 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)))))))) |
(+ 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 c) |
(+ (* 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 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* 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)))))) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(exp (* 1/4 (+ (log (neg (* 4 a))) (* -1 (log (/ 1 c)))))) |
(+ (exp (* 1/4 (+ (log (neg (* 4 a))) (* -1 (log (/ 1 c)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (neg (* 4 a))) (* -1 (log (/ 1 c))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (neg (* 4 a))) (* -1 (log (/ 1 c)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (neg (* 4 a))) (* -1 (log (/ 1 c))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (neg (* 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 (neg (* 4 a))) (* -1 (log (/ 1 c)))))) (+ (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (neg (* 4 a))) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (neg (* 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 (neg (* 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 (- (/ (pow b 2) c) (* 4 a))) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -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)))))) |
(* -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 (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(exp (* 1/4 (+ (log (neg (* -4 a))) (* -1 (log (/ -1 c)))))) |
(+ (exp (* 1/4 (+ (log (neg (* -4 a))) (* -1 (log (/ -1 c)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (neg (* -4 a))) (* -1 (log (/ -1 c))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (neg (* -4 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -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 (neg (* -4 a))) (* -1 (log (/ -1 c))))))) a))) c))) |
(+ (exp (* 1/4 (+ (log (neg (* -4 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -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 (neg (* -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 (neg (* -4 a))) (* -1 (log (/ -1 c))))))) a))) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
| Outputs |
|---|
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
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(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
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b |
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(* -4 (* a c)) |
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(*.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 #s(literal -1/4 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (*.f64 b b))) (sqrt.f64 #s(literal -1 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 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 b b)) #s(literal 1/4 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 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))) |
(* -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 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)))))) |
(* -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 -1/64 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 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (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 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 b b)) #s(literal 1/4 binary64) (*.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c))))))) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(*.f64 (neg.f64 c) (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 a b) (/.f64 b c)))) |
(exp (* 1/4 (+ (log (neg (* -4 a))) (* -1 (log (/ -1 c)))))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 4 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) |
(+ (exp (* 1/4 (+ (log (neg (* -4 a))) (* -1 (log (/ -1 c)))))) (* -1/16 (/ (* (pow b 2) (exp (* 1/4 (+ (log (neg (* -4 a))) (* -1 (log (/ -1 c))))))) (* a c)))) |
(fma.f64 (*.f64 #s(literal -1/16 binary64) (/.f64 (*.f64 b b) a)) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 4 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) c) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 4 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c))))) |
(+ (exp (* 1/4 (+ (log (neg (* -4 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -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 (neg (* -4 a))) (* -1 (log (/ -1 c))))))) a))) c))) |
(-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 4 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 4 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) a) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 4 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (neg.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a)) #s(literal -3/512 binary64)) c)))) c)) |
(+ (exp (* 1/4 (+ (log (neg (* -4 a))) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (neg (* -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 (neg (* -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 (neg (* -4 a))) (* -1 (log (/ -1 c))))))) a))) c))) |
(-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 4 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (/.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 b b)) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 4 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) a) (/.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 4 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (neg.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 7/8192 binary64)) c)) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 4 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a)) #s(literal -3/512 binary64)))) (neg.f64 c))) c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (neg.f64 c) (neg.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 370 |
| 0 | 75 | 338 |
| 1 | 255 | 326 |
| 2 | 1804 | 326 |
| 0 | 8734 | 323 |
| 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 a 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 (neg.f64 c) b)) |
(/.f64 (neg.f64 c) b) |
(neg.f64 c) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) |
#s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64))) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 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)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (neg.f64 b)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(*.f64 a (/.f64 c b)) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a))) |
(*.f64 (/.f64 (+.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))))) (/.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 (/.f64 (fma.f64 b b (+.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) (fma.f64 b b (+.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b (sqrt.f64 (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 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(*.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) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 a a #s(literal 0 binary64))) |
(/.f64 (fma.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64) (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 3 binary64))) (+.f64 (/.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 #s(literal -2 binary64) a)) (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b 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))) (neg.f64 (neg.f64 b))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (+.f64 (neg.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) (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (+.f64 (neg.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 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) a)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64)) (/.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)))) |
(/.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (neg.f64 b) #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 0 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)))) (neg.f64 (+.f64 (pow.f64 (/.f64 b (*.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 #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)))))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64)))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (neg.f64 (neg.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 (fma.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 #s(literal -2 binary64) a)) |
(/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (-.f64 (pow.f64 a #s(literal 4 binary64)) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (-.f64 (*.f64 a a) #s(literal 0 binary64)))) |
(/.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)) (+.f64 (pow.f64 a #s(literal 6 binary64)) #s(literal 0 binary64))) (*.f64 (*.f64 #s(literal 2 binary64) (pow.f64 a #s(literal 3 binary64))) (+.f64 (pow.f64 a #s(literal 4 binary64)) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 a a) #s(literal 0 binary64)))))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) a) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 b) a))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) a) a (*.f64 #s(literal 2 binary64) (/.f64 (neg.f64 b) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) a) (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 b)))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) a) (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 b))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 a (/.f64 (neg.f64 b) a))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 2 binary64)) a (*.f64 a (/.f64 (neg.f64 b) #s(literal 2 binary64)))) (*.f64 a a)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a (neg.f64 (neg.f64 b)))) (*.f64 a (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a (neg.f64 b))) (*.f64 a (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (neg.f64 b) a))) (*.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) a (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (neg.f64 b) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) a) a)) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 (neg.f64 b)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (neg.f64 b) a))) (*.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) |
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(exp.f64 (*.f64 (log.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) b) b)))) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 3 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) b) b))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 3 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) b) b)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) b) b))))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))) (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 3 binary64)) (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 a c) #s(literal 2 binary64)) #s(literal 16 binary64) (*.f64 (*.f64 b b) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b))) (/.f64 (*.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)))) |
(+.f64 (/.f64 (pow.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) #s(literal 2 binary64)) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b))) (/.f64 (*.f64 (*.f64 (neg.f64 b) b) (*.f64 b b)) (fma.f64 (*.f64 #s(literal -4 binary64) c) a (*.f64 (neg.f64 b) b)))) |
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 (neg.f64 (neg.f64 b)) b)) |
(+.f64 (*.f64 #s(literal -4 binary64) (*.f64 a c)) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (neg.f64 c) (*.f64 #s(literal 4 binary64) a))) |
(+.f64 (*.f64 b b) (*.f64 #s(literal -4 binary64) (*.f64 a c))) |
(*.f64 (/.f64 c b) a) |
(*.f64 a (/.f64 c b)) |
(*.f64 c (/.f64 a b)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 c) a)) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 (*.f64 a (neg.f64 c))) (neg.f64 (neg.f64 b))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 a c))) (neg.f64 (neg.f64 b))) |
(/.f64 (*.f64 (neg.f64 c) a) (neg.f64 b)) |
(/.f64 (*.f64 a (neg.f64 c)) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 a c)) (neg.f64 b)) |
(/.f64 (*.f64 a c) b) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) |
(*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) |
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 2 binary64)) |
(pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 1 binary64)) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) |
(sqrt.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 2 binary64))) |
(fabs.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) |
(*.f64 (pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 1/8 binary64)) #s(literal 4 binary64)) (pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 1/8 binary64)) #s(literal 4 binary64))) |
(*.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 3/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 1/4 binary64))) |
(*.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 3/4 binary64))) |
(*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) |
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) #s(literal 2 binary64)) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) |
(sqrt.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 2 binary64))) |
(fabs.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) |
Compiled 39 769 to 3 610 computations (90.9% saved)
27 alts after pruning (23 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 874 | 13 | 887 |
| Fresh | 5 | 10 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 881 | 27 | 908 |
| Status | Accuracy | Program |
|---|---|---|
| 37.4% | (fma.f64 (/.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) | |
| ✓ | 28.3% | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
| 5.2% | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) #s(approx (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 c) (log.f64 (*.f64 #s(literal -4 binary64) a))))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) | |
| 4.3% | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) #s(approx (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 a) (log.f64 (*.f64 #s(literal -4 binary64) c))))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 5.7% | (/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))) (*.f64 #s(literal -2 binary64) a)) |
| 5.9% | (/.f64 (fma.f64 (neg.f64 (neg.f64 b)) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) | |
| 5.7% | (/.f64 (fma.f64 (neg.f64 b) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) | |
| 36.7% | (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 25.5% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.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))) |
| 10.8% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) | |
| ✓ | 56.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (+.f64 a a)) |
| 27.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 29.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a)) |
| 37.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (+.f64 a a)) | |
| 8.9% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) b) (*.f64 (/.f64 a b) (/.f64 c b)) b))) (+.f64 a a)) | |
| 35.5% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 1 binary64)) (neg.f64 b)))) (+.f64 a a)) | |
| 25.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a)) | |
| 25.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 8.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
| 8.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 c (/.f64 a b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) | |
| 35.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 #s(literal -2 binary64) (-.f64 b (*.f64 a (/.f64 c b)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 25.4% | (+.f64 (/.f64 (*.f64 b b) (*.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 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.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)))) | |
| ▶ | 56.0% | (+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) |
| ✓ | 34.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| ✓ | 35.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 31.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c)) | |
| 35.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
Compiled 1 595 to 1 003 computations (37.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) | |
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 5 | (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.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))) | |
| cost-diff | 7 | (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) | |
| cost-diff | 1 | (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b)) | |
| cost-diff | 3 | (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))) | |
| cost-diff | 8 | (/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))) (*.f64 #s(literal -2 binary64) a)) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b) | |
| cost-diff | 0 | #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a)) | |
| cost-diff | 1 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) | |
| cost-diff | 0 | (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) | |
| cost-diff | 0 | (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 3 | (+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 465 |
| 0 | 74 | 454 |
| 1 | 153 | 438 |
| 2 | 463 | 427 |
| 3 | 1974 | 411 |
| 4 | 7907 | 411 |
| 0 | 8112 | 408 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.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)) |
(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) |
a |
c |
(*.f64 b b) |
b |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 b (*.f64 #s(literal -2 binary64) a)) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) |
(*.f64 b b) |
(+.f64 a a) |
a |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))) |
#s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b) |
(*.f64 (*.f64 a c) #s(literal 2 binary64)) |
(*.f64 a c) |
a |
c |
#s(literal 2 binary64) |
b |
(*.f64 #s(literal 2 binary64) a) |
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))) (*.f64 #s(literal -2 binary64) a)) |
(fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) |
(*.f64 b b) |
b |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
a |
(*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b)) |
(neg.f64 b) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.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 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(*.f64 b b) |
b |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 a c) |
a |
c |
(*.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 #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))) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 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 (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 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
(*.f64 b b) |
b |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 b (*.f64 #s(literal -2 binary64) a)) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a)) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) |
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) b) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) |
(*.f64 b b) |
(+.f64 a a) |
(*.f64 #s(literal 2 binary64) a) |
a |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64)))) |
#s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)) |
#s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b) |
(*.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64)) |
(*.f64 (*.f64 a c) #s(literal 2 binary64)) |
(*.f64 (*.f64 #s(literal 2 binary64) a) c) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
#s(literal 2 binary64) |
b |
(*.f64 #s(literal 2 binary64) a) |
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))) (*.f64 #s(literal -2 binary64) a)) |
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) b) |
(fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))) |
(*.f64 (-.f64 b (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) |
(*.f64 b b) |
b |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
a |
(*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b)) |
(*.f64 (*.f64 #s(literal 2 binary64) a) b) |
(neg.f64 b) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.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 #s(literal -2 binary64) c)) (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) |
(-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
(*.f64 b b) |
b |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
#s(literal -4 binary64) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
(*.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 (-.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 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) |
(-.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 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 12.422327029547246 | (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) | |
| accuracy | 20.050214378673502 | (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.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))) | |
| accuracy | 23.153297766955472 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) | |
| accuracy | 34.606096817666746 | (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) | |
| accuracy | 15.029402495869471 | (/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))) (*.f64 #s(literal -2 binary64) a)) | |
| accuracy | 17.524219776302395 | (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))) | |
| accuracy | 19.95655593154583 | #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) | |
| accuracy | 23.153297766955472 | (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) | |
| accuracy | 3.1897841692701983 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 4.622784194875637 | (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b) | |
| accuracy | 41.194601595271244 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))) | |
| accuracy | 41.286400096168144 | #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)) | |
| accuracy | 3.1897841692701983 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a)) | |
| accuracy | 14.583712104095747 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) | |
| accuracy | 19.95655593154583 | #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) | |
| accuracy | 23.153297766955472 | (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) | |
| accuracy | 0.09375 | (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 1.0 | (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) | |
| accuracy | 16.87959103391887 | (+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) | |
| accuracy | 23.153297766955472 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
| 117.0ms | 81× | 2 | valid |
| 78.0ms | 70× | 1 | valid |
| 44.0ms | 88× | 0 | valid |
| 25.0ms | 17× | 3 | valid |
Compiled 394 to 44 computations (88.8% saved)
ival-sqrt: 54.0ms (24.7% of total)ival-mult: 51.0ms (23.4% of total)adjust: 46.0ms (21.1% of total)ival-div: 36.0ms (16.5% of total)ival-add: 18.0ms (8.2% of total)ival-sub: 12.0ms (5.5% of total)exact: 1.0ms (0.5% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.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)) |
(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 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a)) |
(neg.f64 b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))) |
#s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b) |
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))) (*.f64 #s(literal -2 binary64) a)) |
(fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))) |
(*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b)) |
(-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.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 b b) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) |
| Outputs |
|---|
(/ (+ (* -1/2 b) (* 1/2 b)) a) |
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a) |
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a) |
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a) |
(* 1/2 (/ b a)) |
(/ (+ (* -1 (/ (* a c) b)) (* 1/2 b)) a) |
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a) |
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)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -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)))))))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -2 b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(* 2 (/ (* a c) b)) |
(* -1/2 (+ (* -2 b) (* 2 b))) |
(+ (* -2 (/ (* a c) b)) (* -1/2 (+ (* -2 b) (* 2 b)))) |
(+ (* -1/2 (+ (* -2 b) (* 2 b))) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* -1/2 (+ (* -2 b) (* 2 b))) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* a (+ (* -2 b) (* 2 b))) |
(* a (+ (* -2 b) (+ (* 2 b) (* 4 (/ (* a c) b))))) |
(* a (+ (* -2 b) (+ (* 2 b) (* a (+ (* 4 (/ c b)) (* 4 (/ (* a (pow c 2)) (pow b 3)))))))) |
(* a (+ (* -2 b) (+ (* 2 b) (* a (+ (* 4 (/ c b)) (* a (+ (* 4 (/ (pow c 2) (pow b 3))) (* 8 (/ (* a (pow c 3)) (pow b 5)))))))))) |
(* 2 (* a b)) |
(* 4 (* a c)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(- (* 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)) |
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (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)))))) |
(* -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))) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* a (+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1 (/ b 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)))))) |
(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (* 2 (/ b a)))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 2 (/ b a))))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 2 (/ b a)))))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 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))))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (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)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 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)))))) a) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* -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))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (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 (/ (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 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* 4 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* (pow a 2) (+ (* 2 (/ b a)) (* 4 (* (sqrt (/ c a)) (sqrt -1))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -2 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 4 (* (sqrt (/ c a)) (sqrt -1))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -2 b) (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 4 (* (sqrt (/ c a)) (sqrt -1))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -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))))) a)) (* -1/2 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -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))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 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)) (* -1/2 (* a b))) a))) a)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* 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)))))) |
(+ (* 1/2 (* (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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4))))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(+ (* 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 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 (pow b 2)) (* 2 (* a c))) b) |
(+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* 2 (* a b))) |
(+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -1 (* (sqrt (/ a c)) (/ b (sqrt -4)))) (* 2 a)))) |
(+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* 2 a) (* b (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))))) |
(+ (* -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 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (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))))))) (* 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))))))) |
(- (pow b 2) (* 4 (* a c))) |
(- (* -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 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 a)))) |
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))) |
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))) |
(* 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))))))) |
(* (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) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* -1/2 (/ (* b (+ (* -2 a) (* 2 a))) a)) |
(* b (+ (* -2 (/ (* a c) (pow b 2))) (* -1/2 (/ (+ (* -2 a) (* 2 a)) a)))) |
(* b (+ (* -2 (/ (* a c) (pow b 2))) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (+ (* -2 a) (* 2 a)) a))))) |
(* b (+ (* -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))) (* -1/2 (/ (+ (* -2 a) (* 2 a)) a)))))) |
(* b (+ (* -2 a) (* 2 a))) |
(* b (+ (* -2 a) (+ (* 2 a) (* 4 (/ (* (pow a 2) c) (pow b 2)))))) |
(* b (+ (* -2 a) (+ (* 2 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4))))))) |
(* b (+ (* -2 a) (+ (* 2 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (+ (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 4) (pow c 3)) (pow b 6)))))))) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) |
(* 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))))))) |
(* -1 (/ b a)) |
(* -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 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1/2 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))))) |
(* -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 (+ 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)))))))) |
(* 4 (* a b)) |
(* -1 (* b (+ (* -4 a) (* 4 (/ (* (pow a 2) c) (pow b 2)))))) |
(* -1 (* b (+ (* -4 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ (* -4 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (+ (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 4) (pow c 3)) (pow b 6)))))))) |
(* -1 (* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
(* -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)) |
(+ (* -1/2 (/ b a)) (* 1/2 (/ b a))) |
(+ (* -1 (/ c b)) (+ (* -1/2 (/ b a)) (* 1/2 (/ b a)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))) |
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))) |
(+ (* -1 (/ c b)) (* 1/2 (/ b a))) |
(+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))) |
(+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 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 (+ (* -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 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* -1/2 (/ (+ (* -2 (* a b)) (* 2 (* a b))) a)) |
(+ (* -2 (/ (* a c) b)) (* -1/2 (/ (+ (* -2 (* a b)) (* 2 (* a b))) a))) |
(+ (* -1/2 (/ (+ (* -2 (* a b)) (* 2 (* a b))) a)) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* -1/2 (/ (+ (* -2 (* a b)) (* 2 (* a b))) a)) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(+ (* -2 (* a b)) (* 2 (* a b))) |
(+ (* -2 (* a b)) (+ (* 2 (* a b)) (* 4 (/ (* (pow a 2) c) b)))) |
(+ (* -2 (* a b)) (+ (* 2 (* a b)) (* c (+ (* 4 (/ (* (pow a 3) c) (pow b 3))) (* 4 (/ (pow a 2) b)))))) |
(+ (* -2 (* a b)) (+ (* 2 (* a b)) (* c (+ (* 4 (/ (pow a 2) b)) (* c (+ (* 4 (/ (pow a 3) (pow b 3))) (* 8 (/ (* (pow a 4) c) (pow b 5))))))))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 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)) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* 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 (+ (* -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))) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* c (+ (* -1 (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1 (/ b 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 (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* 2 (/ (* a b) c)))) |
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 2 (/ (* a b) c))))) |
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 2 (/ (* a b) c)))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (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 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* 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 (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* 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)))))))) |
(* -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)))))) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -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))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -2 (/ (* a b) c))))) |
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 2 (* a b))) c))))) |
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1))))) c)) (* 2 (* a b))) c))))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -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)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | a | @ | inf | ((+ (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (* (* a c) 2) b) (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* (* -2 a) (neg b)) (- (* b b) (+ (* -4 (* a c)) (* b b))) (/ (- (* b b) (+ (* -4 (* a c)) (* b b))) (* (- (neg b) (sqrt (+ (* -4 (* a c)) (* b b)))) (* 2 a))) (* b b) (- (* b b) (* (* 4 a) c)) (- (neg b) (sqrt (+ (* -4 (* a c)) (* b b))))) |
| 6.0ms | a | @ | -inf | ((+ (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (* (* a c) 2) b) (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* (* -2 a) (neg b)) (- (* b b) (+ (* -4 (* a c)) (* b b))) (/ (- (* b b) (+ (* -4 (* a c)) (* b b))) (* (- (neg b) (sqrt (+ (* -4 (* a c)) (* b b)))) (* 2 a))) (* b b) (- (* b b) (* (* 4 a) c)) (- (neg b) (sqrt (+ (* -4 (* a c)) (* b b))))) |
| 6.0ms | c | @ | inf | ((+ (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (* (* a c) 2) b) (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* (* -2 a) (neg b)) (- (* b b) (+ (* -4 (* a c)) (* b b))) (/ (- (* b b) (+ (* -4 (* a c)) (* b b))) (* (- (neg b) (sqrt (+ (* -4 (* a c)) (* b b)))) (* 2 a))) (* b b) (- (* b b) (* (* 4 a) c)) (- (neg b) (sqrt (+ (* -4 (* a c)) (* b b))))) |
| 6.0ms | c | @ | 0 | ((+ (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (* (* a c) 2) b) (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* (* -2 a) (neg b)) (- (* b b) (+ (* -4 (* a c)) (* b b))) (/ (- (* b b) (+ (* -4 (* a c)) (* b b))) (* (- (neg b) (sqrt (+ (* -4 (* a c)) (* b b)))) (* 2 a))) (* b b) (- (* b b) (* (* 4 a) c)) (- (neg b) (sqrt (+ (* -4 (* a c)) (* b b))))) |
| 6.0ms | c | @ | -inf | ((+ (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (/ b (* -2 a))) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (neg b) (sqrt (- (* b b) (* (* 4 a) c))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/ (* (* a c) 2) b) (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* (* -2 a) (neg b)) (- (* b b) (+ (* -4 (* a c)) (* b b))) (/ (- (* b b) (+ (* -4 (* a c)) (* b b))) (* (- (neg b) (sqrt (+ (* -4 (* a c)) (* b b)))) (* 2 a))) (* b b) (- (* b b) (* (* 4 a) c)) (- (neg b) (sqrt (+ (* -4 (* a c)) (* b b))))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1225 | 7440 |
| 1 | 4538 | 7380 |
| 0 | 8170 | 7033 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (* -1/2 b) (* 1/2 b)) a) |
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a) |
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a) |
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a) |
(* 1/2 (/ b a)) |
(/ (+ (* -1 (/ (* a c) b)) (* 1/2 b)) a) |
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) a) |
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)))))))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* -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)))))))) |
(* -1 (/ c b)) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -2 b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(* 2 (/ (* a c) b)) |
(* -1/2 (+ (* -2 b) (* 2 b))) |
(+ (* -2 (/ (* a c) b)) (* -1/2 (+ (* -2 b) (* 2 b)))) |
(+ (* -1/2 (+ (* -2 b) (* 2 b))) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* -1/2 (+ (* -2 b) (* 2 b))) (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(* a (+ (* -2 b) (* 2 b))) |
(* a (+ (* -2 b) (+ (* 2 b) (* 4 (/ (* a c) b))))) |
(* a (+ (* -2 b) (+ (* 2 b) (* a (+ (* 4 (/ c b)) (* 4 (/ (* a (pow c 2)) (pow b 3)))))))) |
(* a (+ (* -2 b) (+ (* 2 b) (* a (+ (* 4 (/ c b)) (* a (+ (* 4 (/ (pow c 2) (pow b 3))) (* 8 (/ (* a (pow c 3)) (pow b 5)))))))))) |
(* 2 (* a b)) |
(* 4 (* a c)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(- (* 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)) |
(* 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)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
(* (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)))))) |
(* -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))) |
(* a (+ (* -2 (/ b a)) (* 2 (/ c b)))) |
(* a (+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(* a (+ (* -1 (/ b 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)))))) |
(* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (* 2 (/ b a)))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 2 (/ b a))))) |
(* (pow a 2) (+ (* -2 (* (sqrt (/ c a)) (sqrt -4))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 2 (/ b a)))))) |
(* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 2 (/ b (pow (sqrt -4) 2)))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (* 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))))) a) |
(/ (+ (* -2 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 2 (/ b (pow (sqrt -4) 2))) (+ (* 2 (/ (+ (* -1 (* (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)))) (* -1/2 (/ (* (pow a 2) (pow b 3)) (* c (pow (sqrt -4) 4))))) (pow a 3))) (* 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)))))) a) |
(* a (- (/ (pow b 2) a) (* 4 c))) |
(* -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))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/2 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* 1/8 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/8 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1))))) a)) (* 1/2 b)) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (sqrt -1)))))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1)))) (+ (* -1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b 6) (sqrt -1)))) (* 1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b 4) (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 (/ (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 (* a (+ (* -2 (/ c b)) (* 2 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 b) (* -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))) a)) (* 2 (* (sqrt (/ c a)) (sqrt -1)))))) |
(* 4 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* (pow a 2) (+ (* 2 (/ b a)) (* 4 (* (sqrt (/ c a)) (sqrt -1))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -2 b) (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) a)) (* 4 (* (sqrt (/ c a)) (sqrt -1))))) |
(* (pow a 2) (+ (* -1 (/ (+ (* -2 b) (* -1 (/ (+ (* -1/32 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1))))) a))) a)) (* 4 (* (sqrt (/ c a)) (sqrt -1))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* 1/2 b)) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -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))))) a)) (* -1/2 (* a b))) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (+ (* -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))))))))) (* -1/32 (/ (* (pow a 2) (pow b 3)) c))) a)) (* 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)) (* -1/2 (* a b))) a))) a)) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -4 c)))) |
(* 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)))))) |
(+ (* 1/2 (* (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 (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))))) (* 1/2 (/ 1 a))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4))))))) |
(+ (* 1/2 (* (sqrt (/ c a)) (sqrt -4))) (* (pow b 2) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(+ (* 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 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 (pow b 2)) (* 2 (* a c))) b) |
(+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* 2 (* a b))) |
(+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* -1 (* (sqrt (/ a c)) (/ b (sqrt -4)))) (* 2 a)))) |
(+ (* -2 (* (sqrt (* (pow a 3) c)) (sqrt -4))) (* b (+ (* 2 a) (* b (+ (* -1 (* (sqrt (/ a c)) (/ 1 (sqrt -4)))) (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3))))))))) |
(+ (* -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 (- (* 1/2 (/ 1 (* (pow a 2) (* c (pow (sqrt -4) 4))))) (* -1 (* (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))))))) (* 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))))))) |
(- (pow b 2) (* 4 (* a c))) |
(- (* -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 c) (* -1 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (* -1 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* -1/4 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 a)))) |
(* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))) |
(* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))) |
(* 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))))))) |
(* (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) |
(* b (- (* 2 (/ (* a c) (pow b 2))) 2)) |
(* -1/2 (/ (* b (+ (* -2 a) (* 2 a))) a)) |
(* b (+ (* -2 (/ (* a c) (pow b 2))) (* -1/2 (/ (+ (* -2 a) (* 2 a)) a)))) |
(* b (+ (* -2 (/ (* a c) (pow b 2))) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))) (* -1/2 (/ (+ (* -2 a) (* 2 a)) a))))) |
(* b (+ (* -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))) (* -1/2 (/ (+ (* -2 a) (* 2 a)) a)))))) |
(* b (+ (* -2 a) (* 2 a))) |
(* b (+ (* -2 a) (+ (* 2 a) (* 4 (/ (* (pow a 2) c) (pow b 2)))))) |
(* b (+ (* -2 a) (+ (* 2 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4))))))) |
(* b (+ (* -2 a) (+ (* 2 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (+ (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 4) (pow c 3)) (pow b 6)))))))) |
(/ (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1 c) (+ (* -1 (/ (* a (pow c 2)) (pow b 2))) (* 2 (/ (+ (* -2 (* (pow a 3) (pow c 4))) (* -1/2 (* (pow a 3) (pow c 4)))) (pow b 6)))))) b) |
(* 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))))))) |
(* -1 (/ b a)) |
(* -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 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (/ 1 a)))))) |
(* -1/2 (/ b a)) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 a))))) |
(* -1 (* b (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a)))))) |
(* -1 (* b (+ (* -2 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1 (/ c (pow b 2))) (+ (* -1 (/ (* a (pow c 2)) (pow b 4))) (* 1/2 (/ 1 a))))))) |
(* -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 (+ 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)))))))) |
(* 4 (* a b)) |
(* -1 (* b (+ (* -4 a) (* 4 (/ (* (pow a 2) c) (pow b 2)))))) |
(* -1 (* b (+ (* -4 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ (* -4 a) (+ (* 4 (/ (* (pow a 2) c) (pow b 2))) (+ (* 4 (/ (* (pow a 3) (pow c 2)) (pow b 4))) (* 8 (/ (* (pow a 4) (pow c 3)) (pow b 6)))))))) |
(* -1 (* b (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a))))) |
(* -1 (* b (+ (* -2 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2)))))) (+ (* -1 (* (pow a 2) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* (pow a 2) c))))) (pow b 6))) (+ (* -2 (/ (+ (* -1/2 (* a (pow c 2))) (* a (pow c 2))) (pow b 4))) (+ (* -1 (/ c (pow b 2))) (/ 1 a)))))) |
(* -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)) |
(+ (* -1/2 (/ b a)) (* 1/2 (/ b a))) |
(+ (* -1 (/ c b)) (+ (* -1/2 (/ b a)) (* 1/2 (/ b a)))) |
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b))))) |
(+ (* -1/2 (/ b a)) (+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))))) |
(+ (* -1 (/ c b)) (* 1/2 (/ b a))) |
(+ (* 1/2 (/ b a)) (* c (- (* -1 (/ (* a c) (pow b 3))) (/ 1 b)))) |
(+ (* 1/2 (/ b a)) (* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 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 (+ (* -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 (/ (* a c) (pow b 3))) (/ 1 b))) |
(* c (- (* c (+ (* -2 (/ (* (pow a 2) c) (pow b 5))) (* -1 (/ a (pow b 3))))) (/ 1 b))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* -1/4 (/ (* c (+ (* 4 (/ (pow a 4) (pow b 6))) (* 16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (/ 1 b))) |
(* -1/2 (/ (+ (* -2 (* a b)) (* 2 (* a b))) a)) |
(+ (* -2 (/ (* a c) b)) (* -1/2 (/ (+ (* -2 (* a b)) (* 2 (* a b))) a))) |
(+ (* -1/2 (/ (+ (* -2 (* a b)) (* 2 (* a b))) a)) (* c (+ (* -2 (/ a b)) (* -2 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* -1/2 (/ (+ (* -2 (* a b)) (* 2 (* a b))) a)) (* c (+ (* -2 (/ a b)) (* c (+ (* -4 (/ (* (pow a 3) c) (pow b 5))) (* -2 (/ (pow a 2) (pow b 3)))))))) |
(+ (* -2 (* a b)) (* 2 (* a b))) |
(+ (* -2 (* a b)) (+ (* 2 (* a b)) (* 4 (/ (* (pow a 2) c) b)))) |
(+ (* -2 (* a b)) (+ (* 2 (* a b)) (* c (+ (* 4 (/ (* (pow a 3) c) (pow b 3))) (* 4 (/ (pow a 2) b)))))) |
(+ (* -2 (* a b)) (+ (* 2 (* a b)) (* c (+ (* 4 (/ (pow a 2) b)) (* c (+ (* 4 (/ (pow a 3) (pow b 3))) (* 8 (/ (* (pow a 4) c) (pow b 5))))))))) |
(* c (- (* c (+ (* -1 (/ a (pow b 3))) (* c (+ (* -2 (/ (pow a 2) (pow b 5))) (* 2 (* c (+ (* -2 (/ (pow a 3) (pow b 7))) (* -1/2 (/ (pow a 3) (pow b 7)))))))))) (/ 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)) |
(* c (+ (* -1/2 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/2 (/ b (* a c))) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* c (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4)))))) |
(* c (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/32 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))))) |
(* 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 (+ (* -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))) |
(* c (+ (* -2 (/ b c)) (* 2 (/ a b)))) |
(* c (+ (* -1 (/ b c)) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(* c (+ (* -1 (/ b 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 (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (* 2 (/ (* a b) c)))) |
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (* 2 (/ (* a b) c))))) |
(* c (+ (* -2 (* (sqrt (/ (pow a 3) c)) (sqrt -4))) (+ (* -1 (* (sqrt (/ a (pow c 3))) (/ (pow b 2) (sqrt -4)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (* 2 (/ (* a b) c)))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))) (* -2 (/ b (* a (pow (sqrt -4) 2))))) |
(- (+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (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 (/ b (* a (pow (sqrt -4) 2)))) (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (pow (sqrt -4) 3))))))) |
(* c (- (/ (pow b 2) c) (* 4 a))) |
(* 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 (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/2 (/ b a)) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b 4) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) c)) (* -1/2 (/ b a))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/128 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/1024 (* (sqrt (/ 1 (* (pow a 7) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* 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)))))))) |
(* -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)))))) |
(* -1 (* c (+ (* -2 (/ a b)) (* 2 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1))))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 b) (* -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))) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -2 (/ (* a b) c))))) |
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* 1/2 (* (sqrt (/ a c)) (* (pow b 2) (sqrt -1)))) (* 2 (* a b))) c))))) |
(* -1 (* c (+ (* -4 (* (sqrt (/ (pow a 3) c)) (sqrt -1))) (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (sqrt (* a c)) (* (pow b 2) (sqrt -1)))) (* 1/32 (* (sqrt (/ 1 (* a c))) (* (pow b 4) (sqrt -1))))) c)) (* 2 (* a b))) c))))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(* -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)))))) |
| Outputs |
|---|
(/ (+ (* -1/2 b) (* 1/2 b)) a) |
(*.f64 (/.f64 b a) #s(literal 0 binary64)) |
(/ (+ (* -1 (/ (* a c) b)) (+ (* -1/2 b) (* 1/2 b))) a) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) (*.f64 b #s(literal 0 binary64))) a) |
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3))))))) a) |
(/.f64 (fma.f64 b #s(literal 0 binary64) (*.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a)) a) |
(/ (+ (* -1/2 b) (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3))))))))) a) |
(/.f64 (fma.f64 b #s(literal 0 binary64) (*.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 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) a)) a) |
(* 1/2 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal 1/2 binary64)) |
(/ (+ (* -1 (/ (* a c) b)) (* 1/2 b)) a) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) (*.f64 #s(literal 1/2 binary64) b)) a) |
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/.f64 (fma.f64 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a (*.f64 #s(literal 1/2 binary64) b)) a) |
(/ (+ (* 1/2 b) (* a (+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))))) 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 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) a (*.f64 #s(literal 1/2 binary64) b)) a) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (*.f64 a (/.f64 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) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) 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) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 c a) (*.f64 b b)) |
(* -2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) 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 #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) |
(* 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 #s(literal -2 binary64) (/.f64 c b))) a) |
(* -1 (/ c b)) |
(/.f64 (neg.f64 c) b) |
(+ (* -1 (/ c b)) (* -1 (/ (* a (pow c 2)) (pow b 3)))) |
(neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) |
(+ (* -1 (/ c b)) (* a (+ (* -2 (/ (* a (pow c 3)) (pow b 5))) (* -1 (/ (pow c 2) (pow b 3)))))) |
(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 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* -1/4 (/ (* a (+ (* 4 (/ (pow c 4) (pow b 6))) (* 16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -1/4 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 -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(* -2 b) |
(*.f64 #s(literal -2 binary64) b) |
(+ (* -2 b) (* 2 (/ (* a c) b))) |
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 a (/.f64 c b)) b)) |
(* 2 (/ (* a c) b)) |
(*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)) |
(* -1/2 (+ (* -2 b) (* 2 b))) |
(*.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64)) |
(+ (* -2 (/ (* a c) b)) (* -1/2 (+ (* -2 b) (* 2 b)))) |
(fma.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64))) |
(+ (* -1/2 (+ (* -2 b) (* 2 b))) (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 #s(literal -2 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a)) |
(+ (* -1/2 (+ (* -2 b) (* 2 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 (*.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
(* a (+ (* -2 b) (* 2 b))) |
(*.f64 (*.f64 b #s(literal 0 binary64)) a) |
(* a (+ (* -2 b) (+ (* 2 b) (* 4 (/ (* a c) b))))) |
(*.f64 (fma.f64 b #s(literal 0 binary64) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 4 binary64))) a) |
(* a (+ (* -2 b) (+ (* 2 b) (* a (+ (* 4 (/ c b)) (* 4 (/ (* a (pow c 2)) (pow b 3)))))))) |
(*.f64 (fma.f64 b #s(literal 0 binary64) (*.f64 (*.f64 #s(literal 4 binary64) (+.f64 (/.f64 c b) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))))) a)) a) |
(* a (+ (* -2 b) (+ (* 2 b) (* a (+ (* 4 (/ c b)) (* a (+ (* 4 (/ (pow c 2) (pow b 3))) (* 8 (/ (* a (pow c 3)) (pow b 5)))))))))) |
(*.f64 (fma.f64 b #s(literal 0 binary64) (*.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 (/.f64 c b) #s(literal 4 binary64))) a)) a) |
(* 2 (* a b)) |
(*.f64 (*.f64 b a) #s(literal 2 binary64)) |
(* 4 (* a c)) |
(*.f64 (*.f64 c a) #s(literal 4 binary64)) |
(+ (* -1 (/ c b)) (* a (+ (* -1 (/ (pow c 2) (pow b 3))) (* a (+ (* -2 (/ (pow c 3) (pow b 5))) (* 2 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5/2 binary64)) (/.f64 (*.f64 #s(literal -2 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(- (* 2 (/ (* a c) b)) (* 2 b)) |
(*.f64 #s(literal 2 binary64) (-.f64 (*.f64 a (/.f64 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 #s(literal 2 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 #s(literal 2 binary64) (/.f64 c b))) a (*.f64 #s(literal -2 binary64) b)) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64)) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(fma.f64 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ b a)) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4))))) |
(fma.f64 (/.f64 b a) #s(literal -1/2 binary64) (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 (*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (/.f64 c a))) #s(literal 1/2 binary64)))) |
(+ (* -1/2 (/ b a)) (+ (* -1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/4 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))))) |
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(*.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)) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) a) b (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (*.f64 #s(literal 1/32 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 c))) (neg.f64 c)))) |
(+ (* -1/2 (/ b a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 (/.f64 b a) #s(literal -1/2 binary64))) |
(+ (* -1 (/ (- (+ (* -1/4 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ c (pow a 3))) (* (pow b 2) (sqrt -1))))) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(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)))) (neg.f64 c))) |
(+ (* -1 (/ (- (* -1 (/ (- (+ (* -1/2 (* (sqrt (/ 1 (* a c))) (* b (* (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))))))))) (* -1/16 (/ (* (pow b 3) c) (pow a 2)))) (+ (* -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)))))) c)) (* -1/2 (/ (* b c) a))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (*.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 (*.f64 (/.f64 #s(literal -1/16 binary64) a) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) c) a)) (*.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)))) (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 (- (/ 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 #s(literal 1 binary64) (*.f64 c a)))) (*.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)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 335 |
| 0 | 74 | 335 |
| 1 | 293 | 305 |
| 2 | 2701 | 303 |
| 0 | 8843 | 300 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.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)) |
(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 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a)) |
(neg.f64 b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))) |
#s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b) |
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))) (*.f64 #s(literal -2 binary64) a)) |
(fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))) |
(*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b)) |
(-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.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 b b) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) |
(-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) |
| Outputs |
|---|
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -2 binary64) a) b)) (*.f64 #s(literal -2 binary64) a))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (*.f64 b b)) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))) (neg.f64 (/.f64 (-.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 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -2 binary64) a))) (neg.f64 (-.f64 (/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 b #s(literal -2 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64)))) (neg.f64 a)) |
(/.f64 (neg.f64 (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64)) (/.f64 b #s(literal -2 binary64)))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal -2 binary64) a))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (pow.f64 (/.f64 (neg.f64 b) #s(literal 0 binary64)) #s(literal 3 binary64)) #s(literal 0 binary64) (/.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (*.f64 #s(literal -2 binary64) a))))) (neg.f64 (neg.f64 (-.f64 (/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (*.f64 (*.f64 #s(literal -2 binary64) a) b)))) (neg.f64 (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64)) a) (*.f64 a (/.f64 b #s(literal -2 binary64))))) (neg.f64 (*.f64 a a))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a)) (*.f64 (neg.f64 b) a))) (neg.f64 (*.f64 a (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a)) (*.f64 a b))) (neg.f64 (*.f64 a (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 b #s(literal -2 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) (*.f64 (*.f64 #s(literal -2 binary64) a) b))) (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 b #s(literal -2 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) a (*.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64))))) (neg.f64 (*.f64 a a))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))))) (neg.f64 (*.f64 a (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 b #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) (neg.f64 (*.f64 a (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 b) a (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a))) |
(/.f64 (neg.f64 (fma.f64 b a (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) b (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))))) (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64)) a (*.f64 a (/.f64 b #s(literal -2 binary64))))) (neg.f64 (*.f64 a a))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 (neg.f64 b) a))) (neg.f64 (*.f64 a (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 #s(literal -2 binary64) a) (*.f64 a b))) (neg.f64 (*.f64 a (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) a (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 b #s(literal -2 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) b))) (neg.f64 (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) a (*.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 b #s(literal -2 binary64))))) (neg.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) a))) |
(/.f64 (neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 b)) #s(literal 2 binary64))) (neg.f64 a)) |
(/.f64 (fma.f64 (/.f64 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (*.f64 #s(literal -2 binary64) a)) (-.f64 (/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))) (*.f64 (-.f64 (/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))) (pow.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) #s(literal 3 binary64)))) (*.f64 (-.f64 (/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))) (-.f64 (/.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) (/.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) a) b))) (*.f64 (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64)))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) #s(literal 2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) a))) #s(literal 4 binary64)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (neg.f64 a) (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) a (*.f64 #s(literal 2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64)))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (/.f64 b a) #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) a))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (/.f64 b a) (neg.f64 a) (*.f64 #s(literal -2 binary64) (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64))))) (*.f64 #s(literal -2 binary64) a)) |
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(/.f64 (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (*.f64 b 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))) |
(/.f64 (-.f64 (*.f64 (*.f64 b 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))) (*.f64 (*.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)) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (pow.f64 (*.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(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 2 binary64))) (*.f64 (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b 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)))) |
(/.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 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3 binary64))) (*.f64 (fma.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (pow.f64 b #s(literal 4 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)))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (*.f64 b 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))) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (*.f64 b 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))) |
(neg.f64 (/.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 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b 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))) (/.f64 (*.f64 b 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)))) |
(-.f64 (/.f64 (*.f64 b 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))) (/.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b 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)))) |
(*.f64 (neg.f64 (neg.f64 (neg.f64 b))) (neg.f64 (neg.f64 (neg.f64 b)))) |
(*.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b))) |
(*.f64 (neg.f64 (neg.f64 b)) (neg.f64 (neg.f64 b))) |
(*.f64 (neg.f64 b) (neg.f64 b)) |
(*.f64 b b) |
(pow.f64 (exp.f64 (log.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 b)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 b) #s(literal 2 binary64)) |
(pow.f64 (*.f64 b b) #s(literal 1 binary64)) |
(pow.f64 b #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 b) b)) |
(sqrt.f64 (pow.f64 b #s(literal 4 binary64))) |
(fabs.f64 (*.f64 (neg.f64 b) b)) |
(fabs.f64 (*.f64 b b)) |
(exp.f64 (*.f64 (log.f64 (neg.f64 b)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) |
(+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64)))) |
(*.f64 (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (neg.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) |
(*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) |
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) #s(literal 2 binary64)) |
(pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 1 binary64)) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) |
(sqrt.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 2 binary64))) |
(fabs.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64))))) (neg.f64 (neg.f64 (fma.f64 b b (fma.f64 (neg.f64 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 (neg.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)))) (neg.f64 (fma.f64 b b (fma.f64 (neg.f64 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 (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (*.f64 b b)))) (neg.f64 (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64))) (fma.f64 b b (fma.f64 (neg.f64 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 (neg.f64 (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (*.f64 b b))) (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) |
(/.f64 (-.f64 (fma.f64 (*.f64 #s(literal 4 binary64) a) c (*.f64 b b)) (*.f64 b b)) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) |
(-.f64 (/.f64 (*.f64 b b) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (/.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (fma.f64 (neg.f64 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 (pow.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (fma.f64 (neg.f64 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 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) |
Compiled 51 638 to 4 727 computations (90.8% saved)
31 alts after pruning (26 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 290 | 14 | 1 304 |
| Fresh | 6 | 12 | 18 |
| Picked | 3 | 2 | 5 |
| Done | 1 | 3 | 4 |
| Total | 1 300 | 31 | 1 331 |
| Status | Accuracy | Program |
|---|---|---|
| 37.4% | (fma.f64 (/.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) | |
| 5.9% | (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) b (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) (*.f64 #s(literal -2 binary64) a)) | |
| 28.3% | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (neg.f64 b)) (+.f64 a a)) | |
| 5.2% | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) #s(approx (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 c) (log.f64 (*.f64 #s(literal -4 binary64) a))))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) | |
| 4.3% | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) #s(approx (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 a) (log.f64 (*.f64 #s(literal -4 binary64) c))))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) | |
| 5.7% | (/.f64 (fma.f64 a (*.f64 #s(literal 2 binary64) b) (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) (*.f64 #s(literal -2 binary64) a)) | |
| 36.7% | (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (*.f64 #s(literal 2 binary64) a)) | |
| 25.7% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a))) | |
| ✓ | 25.5% | (/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.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))) |
| 10.8% | (/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) | |
| ✓ | 56.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (+.f64 a a)) |
| 27.5% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) (+.f64 a a)) | |
| 37.4% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (+.f64 a a)) | |
| 8.9% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) b) (*.f64 (/.f64 a b) (/.f64 c b)) b))) (+.f64 a a)) | |
| 35.5% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 1 binary64)) (neg.f64 b)))) (+.f64 a a)) | |
| 26.1% | (/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (*.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))) | |
| 5.8% | (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (neg.f64 b))) (*.f64 #s(literal -2 binary64) a)) | |
| 41.5% | (/.f64 #s(approx (- (* b b) (+ (* -4 (* a c)) (* b b))) (*.f64 (*.f64 c a) #s(literal 4 binary64))) (*.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))) | |
| 3.0% | (/.f64 #s(approx (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (*.f64 (*.f64 b a) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) a)) | |
| 25.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a)) | |
| 25.9% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) a)) | |
| ✓ | 8.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
| 8.5% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 c (/.f64 a b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) | |
| 35.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 a (/.f64 c b)) b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 37.4% | (+.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) | |
| 8.6% | #s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (fma.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))) | |
| 8.7% | #s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (*.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64))) | |
| 31.7% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c)) | |
| ✓ | 34.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| ✓ | 35.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 35.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
Compiled 2 675 to 931 computations (65.2% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (*.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
#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 (neg.f64 c) b)) |
(/.f64 #s(approx (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (*.f64 (*.f64 b a) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (fma.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 c (/.f64 a b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) 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 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 #s(literal -2 binary64) (-.f64 b (*.f64 a (/.f64 c b)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 a (/.f64 c b)) 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) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (+.f64 a a)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (neg.f64 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 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 a (*.f64 #s(literal 2 binary64) b) (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) b (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (fma.f64 (neg.f64 b) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))) (*.f64 #s(literal -2 binary64) a)) |
(+.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) b) (*.f64 (/.f64 a b) (/.f64 c b)) b))) (+.f64 a a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 1 binary64)) (neg.f64 b)))) (+.f64 a a)) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 1 binary64)) (neg.f64 b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (- (* b b) (+ (* -4 (* a c)) (* b b))) (*.f64 (*.f64 c a) #s(literal 4 binary64))) (*.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 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (neg.f64 b)) (+.f64 a a)) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) b)) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.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 (/.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 #s(literal 2 binary64) a)) |
(/.f64 (*.f64 (+.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (*.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 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 (-.f64 (neg.f64 b) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (sqrt.f64 (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)) (*.f64 (-.f64 (*.f64 (neg.f64 c) (/.f64 a (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (+ a a)) (*.f64 (-.f64 (*.f64 (neg.f64 a) (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) b)) c)) |
(+.f64 (/.f64 (*.f64 b b) (*.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 (*.f64 (neg.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) (*.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 (+.f64 (neg.f64 b) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) (+.f64 a a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (exp.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))))) (*.f64 #s(literal 2 binary64) a)) |
(fma.f64 (/.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 #s(literal -4 binary64) (*.f64 a c))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) |
(fma.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) a) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 3 binary64)) #s(literal 64 binary64) (pow.f64 b #s(literal 6 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b)))))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) #s(approx (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 a) (log.f64 (*.f64 #s(literal -4 binary64) c))))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) #s(approx (sqrt (sqrt (- (* b b) (* (* 4 a) c)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 c) (log.f64 (*.f64 #s(literal -4 binary64) a))))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (/.f64 (hypot.f64 (pow.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) c) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal 4 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 4 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 1 binary64)) (neg.f64 b)))) (+.f64 a a)) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
4 calls:
| 16.0ms | a |
| 15.0ms | c |
| 14.0ms | b |
| 12.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.1% | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 56.1% | 1 | a |
| 88.7% | 3 | b |
| 56.1% | 1 | c |
Compiled 20 to 23 computations (-15% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (*.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
#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 (neg.f64 c) b)) |
(/.f64 #s(approx (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (*.f64 (*.f64 b a) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (fma.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 c (/.f64 a b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) 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 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 #s(literal -2 binary64) (-.f64 b (*.f64 a (/.f64 c b)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 a (/.f64 c b)) 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) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (+.f64 a a)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (neg.f64 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 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 a (*.f64 #s(literal 2 binary64) b) (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) b (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (fma.f64 (neg.f64 b) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))) (*.f64 #s(literal -2 binary64) a)) |
(+.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) b) (*.f64 (/.f64 a b) (/.f64 c b)) b))) (+.f64 a a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 1 binary64)) (neg.f64 b)))) (+.f64 a a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 1 binary64)) (neg.f64 b)))) (+.f64 a a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (+.f64 a a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 8.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.6% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (*.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
#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 (neg.f64 c) b)) |
(/.f64 #s(approx (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (*.f64 (*.f64 b a) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (fma.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 c (/.f64 a b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) 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 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 #s(literal -2 binary64) (-.f64 b (*.f64 a (/.f64 c b)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 a (/.f64 c b)) 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) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (+.f64 a a)) |
(/.f64 (*.f64 (*.f64 #s(literal -2 binary64) a) (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (neg.f64 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 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 a (*.f64 #s(literal 2 binary64) b) (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) a) b (*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (fma.f64 (neg.f64 b) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))) (*.f64 #s(literal -2 binary64) a)) |
(+.f64 (/.f64 (sqrt.f64 #s(approx (+ (* -4 (* a c)) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 c a)))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -2 binary64) #s(literal 2 binary64)) (neg.f64 b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 b)) (*.f64 #s(literal -2 binary64) a) (*.f64 (*.f64 #s(literal -2 binary64) a) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (fma.f64 (*.f64 #s(literal -2 binary64) b) (*.f64 (/.f64 a b) (/.f64 c b)) b))) (+.f64 a a)) |
| Outputs |
|---|
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 #s(literal -2 binary64) (-.f64 b (*.f64 a (/.f64 c 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 a a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 10.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.6% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (*.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
#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 (neg.f64 c) b)) |
(/.f64 #s(approx (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (*.f64 (*.f64 b a) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (fma.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 c (/.f64 a b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) 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 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 #s(literal -2 binary64) (-.f64 b (*.f64 a (/.f64 c b)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 #s(literal 2 binary64) (-.f64 (*.f64 a (/.f64 c b)) 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)) |
| Outputs |
|---|
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 #s(literal -2 binary64) (-.f64 b (*.f64 a (/.f64 c b)))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (+.f64 a a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.8% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (*.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
#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 (neg.f64 c) b)) |
(/.f64 #s(approx (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (*.f64 (*.f64 b a) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (fma.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 c (/.f64 a b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) 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 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (+.f64 a a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (+.f64 a a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.6% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (*.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
#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 (neg.f64 c) b)) |
(/.f64 #s(approx (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (*.f64 (*.f64 b a) #s(literal 4 binary64))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (fma.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64) (*.f64 (*.f64 a (/.f64 c b)) #s(literal -2 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (+.f64 a a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -2 binary64)) c)) (+.f64 a a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal -2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 a (/.f64 c b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 (*.f64 c (/.f64 a b)) #s(literal 2 binary64)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (/.f64 (*.f64 (*.f64 a c) #s(literal 2 binary64)) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (*.f64 (*.f64 a (/.f64 #s(literal -2 binary64) b)) c)) (*.f64 #s(literal 2 binary64) 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 a c) #s(literal -2 binary64)) b)) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
#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 (neg.f64 c) b)) |
2 calls:
| 5.0ms | b |
| 4.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.3% | 3 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 67.1% | 2 | b |
Compiled 18 to 17 computations (5.6% saved)
| Inputs |
|---|
#s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (*.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
#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 (neg.f64 b) a)) |
#s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (*.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
4 calls:
| 1.0ms | b |
| 1.0ms | c |
| 1.0ms | a |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.6% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 35.6% | 1 | a |
| 35.6% | 1 | c |
| 41.6% | 2 | b |
Compiled 20 to 23 computations (-15% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (*.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (*.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
4 calls:
| 1.0ms | b |
| 1.0ms | c |
| 1.0ms | a |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 8.7% | 1 | c |
| 8.7% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 8.7% | 1 | a |
| 8.7% | 1 | b |
Compiled 20 to 23 computations (-15% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 4.952672891004383e-84 | 6.538361659975202e-84 |
| 4.0ms | -8.954167052537387e+134 | -8.798073176005807e+131 |
| 5.0ms | 60× | 0 | valid |
| 3.0ms | 12× | 2 | valid |
| 1.0ms | 8× | 1 | valid |
| 1.0ms | 9× | 0 | invalid |
Compiled 243 to 198 computations (18.5% saved)
ival-mult: 2.0ms (29.2% of total)adjust: 1.0ms (14.6% of total)ival-div: 1.0ms (14.6% of total)ival-sub: 1.0ms (14.6% of total)ival-sqrt: 1.0ms (14.6% of total)ival-add: 1.0ms (14.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.952672891004383e-84 | 6.538361659975202e-84 |
| 0.0ms | -8.954167052537387e+134 | -8.798073176005807e+131 |
Compiled 228 to 183 computations (19.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.952672891004383e-84 | 6.538361659975202e-84 |
| 36.0ms | -1.8022050641325824e+170 | -4.395182433923353e+162 |
| 30.0ms | 144× | 0 | valid |
| 0.0ms | 3× | 0 | invalid |
Compiled 656 to 500 computations (23.8% saved)
ival-neg: 19.0ms (72.2% of total)ival-mult: 4.0ms (15.2% of total)ival-div: 1.0ms (3.8% of total)ival-add: 1.0ms (3.8% of total)ival-sub: 1.0ms (3.8% of total)ival-sqrt: 1.0ms (3.8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.952672891004383e-84 | 6.538361659975202e-84 |
| 31.0ms | -1.6098996813999958e-62 | -4.62585046032301e-68 |
| 12.0ms | 144× | 0 | valid |
| 3.0ms | 31× | 0 | invalid |
Compiled 740 to 560 computations (24.3% saved)
ival-mult: 4.0ms (40.6% of total)ival-div: 1.0ms (10.2% of total)ival-add: 1.0ms (10.2% of total)ival-sub: 1.0ms (10.2% of total)ival-sqrt: 1.0ms (10.2% of total)ival-neg: 1.0ms (10.2% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.952672891004383e-84 | 6.538361659975202e-84 |
| 1.0ms | -1.6098996813999958e-62 | -4.62585046032301e-68 |
Compiled 632 to 488 computations (22.8% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 29.0ms | -4.16718988471913e-309 | 1.9308877752656376e-303 |
| 12.0ms | 144× | 0 | valid |
| 10.0ms | 82× | 0 | invalid |
Compiled 416 to 344 computations (17.3% saved)
ival-mult: 6.0ms (48.1% of total)ival-div: 2.0ms (16% of total)ival-add: 1.0ms (8% of total)ival-sub: 1.0ms (8% of total)ival-sqrt: 1.0ms (8% of total)ival-neg: 1.0ms (8% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -4.16718988471913e-309 | 1.9308877752656376e-303 |
Compiled 497 to 380 computations (23.5% saved)
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 101 | 555 |
| 1 | 184 | 543 |
| 2 | 420 | 531 |
| 3 | 1183 | 514 |
| 4 | 5300 | 514 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 b #s(literal -499999999999999980914845420907469931724617668138392575722702061727550202027827845338095855082297280184351144790266035545655630691827712 binary64)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 1 binary64)) (neg.f64 b)))) (+.f64 a a)) (if (<=.f64 b #s(literal 1640438043587259/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) (+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -499999999999999980914845420907469931724617668138392575722702061727550202027827845338095855082297280184351144790266035545655630691827712 binary64)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 1 binary64)) (neg.f64 b)))) (+.f64 a a)) (if (<=.f64 b #s(literal 1640438043587259/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (+.f64 a a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -4499999999999999720324728371523788599027363217475355934190763921652086364970642511217849736338193774207049908298523958514321371922588922010933454643156981305573376 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 #s(literal -2 binary64) (-.f64 b (*.f64 a (/.f64 c b)))))) (*.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 1640438043587259/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (+.f64 a a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -3010594320170221/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 #s(literal -2 binary64) (-.f64 b (*.f64 a (/.f64 c b)))))) (*.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 1640438043587259/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (+.f64 a a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -3010594320170221/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) (if (<=.f64 b #s(literal 1640438043587259/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (+.f64 a a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #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 (neg.f64 c) b))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (*.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (*.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -499999999999999980914845420907469931724617668138392575722702061727550202027827845338095855082297280184351144790266035545655630691827712 binary64)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 1 binary64)) (neg.f64 b)))) (+.f64 a a)) (if (<=.f64 b #s(literal 1640438043587259/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) (+.f64 (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) (/.f64 b (*.f64 #s(literal -2 binary64) a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -499999999999999980914845420907469931724617668138392575722702061727550202027827845338095855082297280184351144790266035545655630691827712 binary64)) (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (+ (* (* c a) -4) (* b b))) (*.f64 (fma.f64 (/.f64 #s(literal -2 binary64) b) (*.f64 a (/.f64 c b)) #s(literal 1 binary64)) (neg.f64 b)))) (+.f64 a a)) (if (<=.f64 b #s(literal 1640438043587259/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (+.f64 a a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -4499999999999999720324728371523788599027363217475355934190763921652086364970642511217849736338193774207049908298523958514321371922588922010933454643156981305573376 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 #s(literal -2 binary64) (-.f64 b (*.f64 a (/.f64 c b)))))) (*.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 1640438043587259/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (+.f64 a a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -4499999999999999720324728371523788599027363217475355934190763921652086364970642511217849736338193774207049908298523958514321371922588922010933454643156981305573376 binary64)) (/.f64 #s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 #s(literal -2 binary64) (-.f64 b (*.f64 a (/.f64 c b)))))) (*.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 1640438043587259/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (+.f64 a a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -3010594320170221/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 #s(literal -2 binary64) (-.f64 b (*.f64 a (/.f64 c b)))))) (*.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 1640438043587259/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (+.f64 a a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -3010594320170221/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) (/.f64 #s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) #s(approx (* (+ (* (/ (* a (/ c b)) b) -2) 2) (neg b)) (*.f64 #s(literal -2 binary64) (-.f64 b (*.f64 a (/.f64 c b)))))) (*.f64 #s(literal 2 binary64) a)) (if (<=.f64 b #s(literal 1640438043587259/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (+.f64 a a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -3010594320170221/926336713898529563388567880069503262826159877325124512315660672063305037119488 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)))) (if (<=.f64 b #s(literal 1640438043587259/273406340597876490546562778389702670669146178861651554553221325801244124899921990402939147127881728 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* c a) -4) (* b b)) (*.f64 #s(literal -4 binary64) (*.f64 a c))))) (+.f64 a a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #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 (neg.f64 c) b))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (*.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) #s(literal 0 binary64))) |
#s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) (*.f64 (*.f64 b #s(literal 0 binary64)) #s(literal -1/2 binary64))) |
#s(approx (/ (+ (* (sqrt (- (* b b) (* (* 4 a) c))) (* -2 a)) (* (* -2 a) (neg b))) (* -2 a)) #s(literal 0 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 285 |
| 0 | 66 | 285 |
| 1 | 218 | 276 |
| 2 | 1448 | 276 |
| 0 | 8305 | 276 |
| 0 | 1225 | 7440 |
| 1 | 4538 | 7380 |
| 0 | 8170 | 7033 |
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 73 | 51 |
| 2 | 508 | 50 |
| 3 | 6176 | 49 |
| 0 | 8751 | 45 |
| 0 | 545 | 2842 |
| 1 | 1916 | 2807 |
| 2 | 7910 | 2807 |
| 0 | 8090 | 2667 |
| 0 | 857 | 4413 |
| 1 | 3127 | 4173 |
| 0 | 9161 | 3986 |
| 0 | 602 | 3091 |
| 1 | 2132 | 3042 |
| 0 | 8428 | 2893 |
| 0 | 50 | 370 |
| 0 | 75 | 338 |
| 1 | 255 | 326 |
| 2 | 1804 | 326 |
| 0 | 8734 | 323 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 575 to 101 computations (82.4% saved)
Compiled 1 268 to 272 computations (78.5% saved)
Loading profile data...