
Time bar (total: 8.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 48.3% | 45.2% | 48.4% | 0.1% | 0% | 6.2% | 0% | 8 |
| 53% | 48.4% | 42.9% | 0.1% | 0% | 8.6% | 0% | 9 |
| 58.1% | 50.3% | 36.3% | 0.1% | 0% | 13.3% | 0% | 10 |
| 66.1% | 56.8% | 29.1% | 0.1% | 0% | 14% | 0% | 11 |
| 70.4% | 58.8% | 24.7% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 19 to 16 computations (15.8% saved)
| 627.0ms | 5 501× | 0 | valid |
| 451.0ms | 1 354× | 1 | valid |
| 385.0ms | 1 222× | 2 | valid |
| 87.0ms | 179× | 3 | valid |
| 82.0ms | 939× | 0 | invalid |
ival-mult: 486.0ms (41.4% of total)adjust: 172.0ms (14.7% of total)ival-sqrt: 147.0ms (12.5% of total)ival-div: 146.0ms (12.4% of total)ival-add: 73.0ms (6.2% of total)ival-sub: 72.0ms (6.1% of total)ival-neg: 57.0ms (4.9% of total)exact: 10.0ms (0.9% of total)ival-true: 7.0ms (0.6% of total)ival-assert: 4.0ms (0.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 103 | 0 | - | 0 | - | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 60 | 1 | (7.478119290931953e-130 4.98845575877871e-42 2.486052403041023e-236) | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) |
| 19 | 1 | (-2.8693322819263786e-12 7.018707064146972e+283 4.890430539265782e-40) | 2 | (-1.85799022602523e-54 1.5721343833438495e+224 6.766693889526596e-34) | (/.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)) |
| 3 | 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 | 97 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | overflow | 97 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 24 | |
| ↳ | (*.f64 b b) | overflow | 80 | |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | cancellation | 61 | 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 | 18 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 6 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | underflow | 29 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 34 | |
| ↳ | (*.f64 b b) | underflow | 49 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) | uflow-rescue | 6 | 0 |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | underflow | 6 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | underflow | 34 | |
| ↳ | (*.f64 b b) | underflow | 49 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | nan-rescue | 3 | 0 |
| ↳ | (*.f64 b b) | overflow | 80 | |
| ↳ | (*.f64 (*.f64 #s(literal 4 binary64) a) c) | overflow | 24 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 125 | 0 |
| - | 24 | 107 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 125 | 0 | 0 |
| - | 24 | 0 | 107 |
| number | freq |
|---|---|
| 0 | 107 |
| 1 | 114 |
| 2 | 34 |
| 3 | 1 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 31.0ms | 332× | 0 | valid |
| 27.0ms | 94× | 2 | valid |
| 16.0ms | 76× | 1 | valid |
| 3.0ms | 10× | 3 | valid |
Compiled 161 to 46 computations (71.4% saved)
ival-mult: 17.0ms (35.2% of total)adjust: 8.0ms (16.6% of total)ival-div: 6.0ms (12.4% of total)ival-sqrt: 6.0ms (12.4% of total)ival-sub: 4.0ms (8.3% of total)ival-add: 4.0ms (8.3% of total)ival-neg: 2.0ms (4.1% of total)exact: 1.0ms (2.1% 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 |
|---|---|---|
| ▶ | 53.5% | (/.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)) |
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 | 0.5976562500000001 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) | |
| accuracy | 4.141707259068771 | (/.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 | 13.808874236669556 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) | |
| accuracy | 23.99003936224296 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c))) |
| 29.0ms | 47× | 2 | valid |
| 16.0ms | 166× | 0 | valid |
| 8.0ms | 38× | 1 | valid |
| 2.0ms | 5× | 3 | valid |
Compiled 72 to 16 computations (77.8% saved)
adjust: 22.0ms (53.3% of total)ival-mult: 8.0ms (19.4% of total)ival-div: 3.0ms (7.3% of total)ival-sqrt: 3.0ms (7.3% of total)ival-sub: 2.0ms (4.8% of total)ival-add: 2.0ms (4.8% of total)ival-neg: 1.0ms (2.4% 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 | |
|---|---|---|---|---|
| 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)))) |
| 3.0ms | a | @ | -inf | ((- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 2.0ms | b | @ | 0 | ((- (* b b) (* (* 4 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 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))))))) |
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(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64)))))) |
(* -1 (* c (+ (* -1/64 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b 4) (sqrt -1)))) (+ (* 1/512 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b 6) (sqrt -1)))) (+ (* 1/4 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/512 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/64 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/4 binary64))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 73 | 51 |
| 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))))) |
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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)
15 alts after pruning (15 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 443 | 15 | 458 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 444 | 15 | 459 |
| Status | Accuracy | Program |
|---|---|---|
| 35.4% | (/.f64 (+.f64 (neg.f64 b) (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))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 53.5% | (/.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)) |
| 10.0% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.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 #s(literal 2 binary64) a)) | |
| ▶ | 47.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal 2 binary64) a)) |
| 41.2% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a)) | |
| 32.9% | (/.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)) | |
| 28.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 12.7% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) |
| 32.5% | (/.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)) | |
| 28.2% | (/.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)) | |
| 33.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)) | |
| 36.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| ▶ | 32.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 35.5% | #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)) | |
| ▶ | 31.5% | #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 814 to 590 computations (27.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 1 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) | |
| cost-diff | 2 | (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) | |
| cost-diff | 0 | #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)) | |
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 1 | (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) | |
| cost-diff | 0 | (/.f64 (neg.f64 c) (*.f64 b b)) | |
| cost-diff | 0 | (neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))) | |
| cost-diff | 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)))) | |
| cost-diff | 4 | (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b 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 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 1 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) |
Useful iterations: 6 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 381 |
| 0 | 74 | 379 |
| 1 | 140 | 370 |
| 2 | 327 | 364 |
| 3 | 724 | 358 |
| 4 | 1402 | 358 |
| 5 | 3512 | 350 |
| 6 | 5549 | 342 |
| 7 | 6398 | 342 |
| 8 | 7900 | 342 |
| 0 | 8399 | 342 |
| 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 |
#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)))) |
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))) |
(fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)) |
(/.f64 (neg.f64 c) (*.f64 b b)) |
(neg.f64 c) |
c |
(*.f64 b b) |
b |
(/.f64 b a) |
a |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) |
(neg.f64 b) |
b |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
a |
(/.f64 c b) |
c |
(*.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 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c))) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) |
#s(literal -4 binary64) |
a |
(/.f64 (*.f64 b b) c) |
(*.f64 b b) |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) |
(-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(*.f64 c a) |
(*.f64 a c) |
c |
a |
#s(literal -4 binary64) |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
(/.f64 (neg.f64 b) a) |
(neg.f64 b) |
b |
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)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a))) |
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))) |
(+.f64 (/.f64 c b) (/.f64 (neg.f64 b) a)) |
(fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)) |
(-.f64 (/.f64 b a) (/.f64 c b)) |
(/.f64 (neg.f64 c) (*.f64 b b)) |
(/.f64 (/.f64 (neg.f64 c) b) b) |
(neg.f64 c) |
c |
(*.f64 b b) |
b |
(/.f64 b a) |
a |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) b) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) |
(-.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) b) |
(neg.f64 b) |
b |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b)) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(fma.f64 (/.f64 c b) (*.f64 #s(literal -2 binary64) a) b) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
a |
(/.f64 c b) |
c |
(*.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 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (fma.f64 #s(literal -4 binary64) (*.f64 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 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) |
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) b) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)) |
#s(approx (- (* b b) (* (* 4 a) c)) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) |
#s(literal -4 binary64) |
a |
(/.f64 (*.f64 b b) c) |
(*.f64 b b) |
c |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 5.46382681837958 | (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) | |
| accuracy | 8.173837265460307 | (/.f64 (*.f64 b b) c) | |
| accuracy | 13.808874236669556 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) | |
| accuracy | 23.99003936224296 | (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c))) | |
| accuracy | 2.656970944765688 | (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) | |
| accuracy | 4.141707259068771 | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 13.808874236669556 | (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) | |
| accuracy | 40.54943335099762 | #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)) | |
| accuracy | 0.0 | (neg.f64 c) | |
| accuracy | 3.5876895772689026 | (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a)) | |
| accuracy | 8.228423776311445 | (/.f64 (neg.f64 c) (*.f64 b b)) | |
| accuracy | 43.1524228027094 | #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)))) | |
| accuracy | 0.0 | (/.f64 (neg.f64 b) a) | |
| accuracy | 0.0 | (neg.f64 b) | |
| accuracy | 43.13250367839711 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) | |
| accuracy | 0.5976562500000001 | (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) | |
| accuracy | 4.141707259068771 | (/.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 | 13.808874236669556 | (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) | |
| accuracy | 23.99003936224296 | (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
| 46.0ms | 47× | 2 | valid |
| 45.0ms | 166× | 0 | valid |
| 19.0ms | 38× | 1 | valid |
| 4.0ms | 5× | 3 | valid |
Compiled 303 to 39 computations (87.1% saved)
ival-mult: 20.0ms (27.5% of total)ival-div: 15.0ms (20.6% of total)ival-add: 13.0ms (17.9% of total)adjust: 12.0ms (16.5% of total)ival-sqrt: 6.0ms (8.3% of total)ival-neg: 4.0ms (5.5% of total)ival-sub: 2.0ms (2.8% of total)exact: 1.0ms (1.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (neg.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 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(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) |
(fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b 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)))) |
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))) |
(/.f64 (neg.f64 c) (*.f64 b b)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal 2 binary64) a)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(neg.f64 c) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c))) |
(/.f64 (*.f64 b b) c) |
| Outputs |
|---|
(* -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))))))) |
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)) |
(/ b a) |
(/ (+ b (* -1 (/ (* a c) b))) a) |
(/ (- (/ (* a c) b) b) a) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* (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))) |
(* 1/2 (* (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)))))) |
(* 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 (/ c b)) (/ b a)) |
(/ c b) |
(- (* -1 (/ b a)) (* -1 (/ c b))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -2 (/ c b)) (/ 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 (* (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 (* 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 (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* 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) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(/ (+ (* -1 c) (/ (pow b 2) a)) b) |
(/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b) |
(* -1 (/ c (pow b 2))) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
(/ (pow b 2) c) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/ (+ (* -1 c) (* -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 (* -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 (+ (* -1 (/ c (pow b 2))) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -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 (/ 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 (+ 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 (- (/ c (pow b 2)) (/ 1 a)))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
(* 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))) |
(+ 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 b) (/ b a)) |
(* -1 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 (+ (* -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 (+ (* 1/2 (* (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 (- (/ b (* a c)) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* -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 (+ (* 1/2 (/ 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 (+ (* 1/4 (* (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 (/ b (* a c))) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 33.0ms | a | @ | inf | ((+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (/ (+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (* 2 a)) (neg b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (+ (* (/ (neg c) (* b b)) b) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ (neg c) (* b b)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (- (* b b) (* (* 4 a) c))) (* (+ (* -4 a) (/ (* b b) c)) c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (* c a) -4) (* b b)) (neg c) (+ (* (* -2 a) (/ c b)) b) (sqrt (- (* b b) (* (* 4 a) c))) (/ (* b b) c)) |
| 3.0ms | b | @ | inf | ((+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (/ (+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (* 2 a)) (neg b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (+ (* (/ (neg c) (* b b)) b) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ (neg c) (* b b)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (- (* b b) (* (* 4 a) c))) (* (+ (* -4 a) (/ (* b b) c)) c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (* c a) -4) (* b b)) (neg c) (+ (* (* -2 a) (/ c b)) b) (sqrt (- (* b b) (* (* 4 a) c))) (/ (* b b) c)) |
| 3.0ms | b | @ | 0 | ((+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (/ (+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (* 2 a)) (neg b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (+ (* (/ (neg c) (* b b)) b) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ (neg c) (* b b)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (- (* b b) (* (* 4 a) c))) (* (+ (* -4 a) (/ (* b b) c)) c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (* c a) -4) (* b b)) (neg c) (+ (* (* -2 a) (/ c b)) b) (sqrt (- (* b b) (* (* 4 a) c))) (/ (* b b) c)) |
| 3.0ms | c | @ | -inf | ((+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (/ (+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (* 2 a)) (neg b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (+ (* (/ (neg c) (* b b)) b) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ (neg c) (* b b)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (- (* b b) (* (* 4 a) c))) (* (+ (* -4 a) (/ (* b b) c)) c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (* c a) -4) (* b b)) (neg c) (+ (* (* -2 a) (/ c b)) b) (sqrt (- (* b b) (* (* 4 a) c))) (/ (* b b) c)) |
| 3.0ms | c | @ | inf | ((+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (/ (+ (neg b) (sqrt (+ (* (* c a) -4) (* b b)))) (* 2 a)) (neg b) (sqrt (+ (* (* c a) -4) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/ (neg b) a) (+ (* (/ (neg c) (* b b)) b) (/ b a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ (neg c) (* b b)) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (- (* b b) (* (* 4 a) c))) (* (+ (* -4 a) (/ (* b b) c)) c) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (+ (* (* c a) -4) (* b b)) (neg c) (+ (* (* -2 a) (/ c b)) b) (sqrt (- (* b b) (* (* 4 a) c))) (/ (* b b) c)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 583 | 3072 |
| 1 | 2071 | 3028 |
| 0 | 8455 | 2885 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -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))))))) |
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)) |
(/ b a) |
(/ (+ b (* -1 (/ (* a c) b))) a) |
(/ (- (/ (* a c) b) b) a) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(* (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))) |
(* 1/2 (* (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)))))) |
(* 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 (/ c b)) (/ b a)) |
(/ c b) |
(- (* -1 (/ b a)) (* -1 (/ c b))) |
(* -4 (* a c)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(* a (+ (* -2 (/ c b)) (/ 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 (* (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 (* 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 (+ (* -1 (/ b a)) (* 2 (/ c b))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* 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) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4))))))) |
(+ (* (sqrt (* a c)) (sqrt -4)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -4) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -4) 5))))))))) |
(/ (+ (* -1 c) (/ (pow b 2) a)) b) |
(/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b) |
(* -1 (/ c (pow b 2))) |
(/ (+ (* -2 (* a c)) (pow b 2)) b) |
(/ (pow b 2) c) |
(/ (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -2 (* a c)) (+ (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/ (+ (* -1 c) (* -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 (* -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 (+ (* -1 (/ c (pow b 2))) (/ 1 a))) |
(* b (- (/ c (pow b 2)) (/ 1 a))) |
(* (pow b 2) (+ 1 (* -4 (/ (* a c) (pow b 2))))) |
(* -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 (/ 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 (+ 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 (- (/ c (pow b 2)) (/ 1 a)))) |
(* -1 (* b (- (* 2 (/ (* a c) (pow b 2))) 1))) |
(* 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))) |
(+ 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 b) (/ b a)) |
(* -1 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 (+ (* -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 (+ (* 1/2 (* (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 (- (/ b (* a c)) (/ 1 b))) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(* -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 (+ (* 1/2 (/ 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 (+ (* 1/4 (* (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 (/ b (* a c))) (/ 1 b)))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
| Outputs |
|---|
(* -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 (*.f64 c c) (/.f64 a (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 (*.f64 #s(literal -4 binary64) a) (*.f64 (pow.f64 c #s(literal 3 binary64)) (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) a) |
(* 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 #s(literal -1/2 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 -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 (/.f64 c b) #s(literal -2 binary64))) a) |
(* -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)) |
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 (*.f64 c c) (/.f64 a (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 (*.f64 #s(literal -4 binary64) a) (*.f64 (pow.f64 c #s(literal 3 binary64)) (/.f64 a (pow.f64 b #s(literal 5 binary64)))) (*.f64 #s(literal -2 binary64) (fma.f64 (*.f64 c c) (/.f64 a (pow.f64 b #s(literal 3 binary64))) (/.f64 c b)))) a b) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(/ b a) |
(/.f64 b a) |
(/ (+ b (* -1 (/ (* a c) b))) a) |
(/.f64 (-.f64 b (/.f64 (*.f64 a c) b)) a) |
(/ (- (/ (* a c) b) b) a) |
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 #s(literal -4 binary64)) (sqrt.f64 (*.f64 a c))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)) (/.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 b (/.f64 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 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a))) a) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) (/ b a))) |
(*.f64 (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 b (/.f64 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 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 b a)))) a) |
(* 1/2 (* (sqrt (/ c a)) (sqrt -4))) |
(*.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 #s(literal -4 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/2 (/ b a)) (* 1/2 (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 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 #s(literal 1/4 binary64) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 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)))))) |
(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 #s(literal 1/4 binary64) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 #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 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ c a)) (sqrt -4)))))) |
(*.f64 (fma.f64 (*.f64 #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 #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 b (/.f64 b (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -4 binary64)))))) a) |
(+ (* -1 (/ c b)) (/ b a)) |
(-.f64 (/.f64 b a) (/.f64 c b)) |
(/ c b) |
(/.f64 c b) |
(- (* -1 (/ b a)) (* -1 (/ c b))) |
(fma.f64 (/.f64 b a) #s(literal -1 binary64) (/.f64 c b)) |
(* -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 b (/.f64 b a))) a) |
(* a (+ (* -2 (/ c b)) (/ b a))) |
(*.f64 (fma.f64 (/.f64 c b) #s(literal -2 binary64) (/.f64 b 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 #s(literal 1 binary64) (*.f64 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 (* (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 #s(literal 1 binary64) (*.f64 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))) |
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(neg.f64 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 b (/.f64 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 b (/.f64 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 (/ b (* a c))) (* 1/2 (* (sqrt (/ 1 (* a c))) (sqrt -4))))) |
(*.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 b c) a) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))) c) |
(* 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)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 a c) #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 b c) a) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/4 binary64) (*.f64 #s(literal -1/2 binary64) (-.f64 (/.f64 (/.f64 b c) a) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -4 binary64))))))) c) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64))))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -4) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) #s(literal -4 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -4 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -4 binary64)))))) c) |
(* c (- (/ b (* a c)) (/ 1 b))) |
(*.f64 (-.f64 (/.f64 (/.f64 b c) a) (/.f64 #s(literal 1 binary64) b)) c) |
(* c (+ (* -1 (/ b (* a c))) (/ 1 b))) |
(fma.f64 (/.f64 (/.f64 (neg.f64 b) c) a) c (/.f64 c b)) |
(* c (+ (* -4 a) (/ (pow b 2) c))) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* c (+ (* -2 (/ a b)) (/ b c))) |
(*.f64 (fma.f64 (/.f64 a b) #s(literal -2 binary64) (/.f64 b c)) c) |
(* -1 (* c (+ (* 2 (* (sqrt (/ a c)) (sqrt -1))) (/ b c)))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 b c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (- (* -1/4 (* (sqrt (/ 1 (* a c))) (* (pow b 2) (sqrt -1)))) b) c)) (* 2 (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 a c)) (/.f64 (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b b)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/4 binary64))) b) (neg.f64 c))) (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 (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))) (neg.f64 c)) |
(* -1 (* c (+ (* 1/2 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) c) (/.f64 b a) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c)) |
(* -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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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))) (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 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 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))) (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 (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)))) (neg.f64 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 (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))))) (neg.f64 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 (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)))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ b (* a c))) (/ 1 b)))) |
(neg.f64 (fma.f64 (/.f64 (/.f64 (neg.f64 b) c) a) c (/.f64 c b))) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(*.f64 (-.f64 (/.f64 (/.f64 b c) a) (/.f64 #s(literal 1 binary64) b)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ b c)) (* 2 (/ a b))))) |
(*.f64 (fma.f64 (/.f64 a b) #s(literal 2 binary64) (/.f64 (neg.f64 b) c)) (neg.f64 c)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 297 |
| 0 | 74 | 296 |
| 1 | 262 | 288 |
| 2 | 2009 | 287 |
| 0 | 8582 | 287 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.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 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) |
(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) |
(fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b 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)))) |
(neg.f64 (fma.f64 (/.f64 (neg.f64 c) (*.f64 b b)) b (/.f64 b a))) |
(/.f64 (neg.f64 c) (*.f64 b b)) |
(+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b)) |
(*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal 2 binary64) a)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(neg.f64 c) |
(fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c))) |
(/.f64 (*.f64 b b) c) |
| Outputs |
|---|
(/.f64 (+.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (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))))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (+.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (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 (pow.f64 b #s(literal 3 binary64)) (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 (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (+.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))) (/.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (+.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))))) (*.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (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 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b b (+.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))))))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) (*.f64 b b))) (neg.f64 (-.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (neg.f64 b)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))) (neg.f64 (neg.f64 (-.f64 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))))) (neg.f64 (neg.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))))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 b 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)))) (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 (neg.f64 b) (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)))))) |
(/.f64 (fma.f64 (pow.f64 b #s(literal 3 binary64)) (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 (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)))))) (pow.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) #s(literal 3/2 binary64)))) (*.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)))))))) |
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(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 b b (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b) b))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b b (-.f64 (*.f64 (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64)) #s(literal 4 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 (/.f64 c b) b)))))) |
(+.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 b (-.f64 b (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 3 binary64)) #s(literal -8 binary64)) (fma.f64 b (-.f64 b (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 b (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) (*.f64 (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64)) #s(literal 4 binary64))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 (*.f64 (/.f64 c b) a) #s(literal 2 binary64)) #s(literal 4 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a) b)) (/.f64 (*.f64 (neg.f64 b) b) (-.f64 (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a) b))) |
(+.f64 (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a) b) |
(+.f64 b (*.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a)) |
(*.f64 (neg.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c))))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c))) #s(literal 1 binary64)) |
(pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c))) |
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c))))) |
(fabs.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) |
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))))) |
(*.f64 (/.f64 b c) b) |
(*.f64 (neg.f64 b) (/.f64 (neg.f64 b) c)) |
(*.f64 b (/.f64 b c)) |
(/.f64 (*.f64 (neg.f64 b) b) (neg.f64 c)) |
(/.f64 (*.f64 b b) c) |
(neg.f64 (/.f64 (*.f64 (neg.f64 b) b) c)) |
Compiled 34 988 to 3 298 computations (90.6% saved)
18 alts after pruning (14 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 738 | 8 | 746 |
| Fresh | 4 | 6 | 10 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 743 | 18 | 761 |
| Status | Accuracy | Program |
|---|---|---|
| 34.8% | (/.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))) | |
| 26.4% | (/.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))) | |
| 4.5% | (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a b)) (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a b)) (*.f64 #s(literal 2 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a b)) (*.f64 #s(literal 2 binary64) a)))))) | |
| ✓ | 53.5% | (/.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)) |
| ✓ | 47.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal 2 binary64) a)) |
| ▶ | 32.9% | (/.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)) |
| 28.8% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) | |
| ▶ | 39.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 12.7% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) |
| 28.2% | (/.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)) | |
| ▶ | 52.3% | (+.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) |
| 33.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)) | |
| 36.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| ✓ | 32.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 35.5% | #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)) | |
| ▶ | 31.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a))) |
| ▶ | 11.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b))) |
| 32.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
Compiled 1 060 to 655 computations (38.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 1 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) | |
| cost-diff | 2 | (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b) | |
| cost-diff | 4 | (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) 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 (+.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 | 1 | (+.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 (*.f64 a c) b) b) | |
| cost-diff | 0 | #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a))) | |
| cost-diff | 2 | (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) | |
| cost-diff | 0 | (/.f64 c b) | |
| cost-diff | 0 | #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c 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 | 0 | (/.f64 b a) | |
| cost-diff | 0 | (/.f64 (/.f64 b a) #s(literal -2 binary64)) | |
| cost-diff | 4 | (+.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 556 |
| 0 | 90 | 550 |
| 1 | 164 | 536 |
| 2 | 364 | 528 |
| 3 | 966 | 478 |
| 4 | 3375 | 452 |
| 5 | 6424 | 452 |
| 0 | 8199 | 451 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (/.f64 b a) #s(literal -2 binary64)) |
(/.f64 b a) |
b |
a |
#s(literal -2 binary64) |
(/.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) |
c |
(*.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)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b))) |
#s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b)) |
(/.f64 c b) |
c |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a))) |
#s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)) |
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
(-.f64 (/.f64 (*.f64 a c) b) b) |
(/.f64 (*.f64 a c) b) |
(*.f64 a c) |
a |
c |
b |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(+.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 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) |
#s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) |
#s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) |
(*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b) |
(*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) |
(fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) |
(*.f64 a (/.f64 (/.f64 c b) b)) |
a |
(/.f64 (/.f64 c b) b) |
(/.f64 c b) |
c |
#s(literal -4 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(+.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (sqrt.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 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 b a) #s(literal -2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 b a)) |
(/.f64 b a) |
b |
a |
#s(literal -2 binary64) |
(/.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) |
c |
(*.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)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b))) |
#s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b)) |
(/.f64 c b) |
c |
b |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
#s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)) |
#s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))) |
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(-.f64 (/.f64 (*.f64 a c) b) b) |
(-.f64 (*.f64 (/.f64 c b) a) b) |
(/.f64 (*.f64 a c) b) |
(*.f64 (/.f64 c b) a) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
b |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) 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 (*.f64 #s(literal -4 binary64) a) c))) 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 (*.f64 #s(literal -4 binary64) 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 (*.f64 #s(literal -4 binary64) a) c)) |
(*.f64 (*.f64 c a) #s(literal -4 binary64)) |
(*.f64 (*.f64 #s(literal -4 binary64) a) c) |
(*.f64 c a) |
c |
a |
#s(literal -4 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (- (* b b) (* (* 4 a) c)) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) b) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) |
(-.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (- (* b b) (* (* 4 a) c)) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) b) |
(neg.f64 b) |
b |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (- (* b b) (* (* 4 a) c)) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) |
#s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) |
#s(approx (- (* b b) (* (* 4 a) c)) #s(approx (- (* b b) (* (* 4 a) c)) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) |
#s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)) |
#s(approx (- (* b b) (* (* 4 a) c)) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) |
(*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) |
(fma.f64 (*.f64 #s(literal -4 binary64) a) (/.f64 c b) b) |
(fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) |
(*.f64 a (/.f64 (/.f64 c b) b)) |
(*.f64 (/.f64 (/.f64 c b) b) a) |
a |
(/.f64 (/.f64 c b) b) |
(/.f64 c b) |
c |
#s(literal -4 binary64) |
#s(literal 1 binary64) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 5.6091783473501255 | (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) | |
| accuracy | 6.0908503831788146 | (*.f64 a (/.f64 (/.f64 c b) b)) | |
| accuracy | 13.808874236669556 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) | |
| accuracy | 23.99003936224296 | (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) | |
| accuracy | 4.141707259068771 | (/.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 | 13.808874236669556 | (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) | |
| accuracy | 23.99003936224296 | (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) | |
| accuracy | 40.36586048085413 | #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 (*.f64 a c) b) b) | |
| accuracy | 1.6952095311703061 | (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) | |
| accuracy | 4.478233164044911 | (/.f64 (*.f64 a c) b) | |
| accuracy | 43.1524228027094 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a))) | |
| accuracy | 0.0 | (/.f64 c b) | |
| accuracy | 41.69608502393229 | #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b)) | |
| accuracy | 43.1524228027094 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b))) | |
| accuracy | 0.07421875 | (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 0.5976562500000001 | (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) | |
| accuracy | 17.62575975385283 | (+.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) | |
| accuracy | 23.99003936224296 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
| 57.0ms | 166× | 0 | valid |
| 55.0ms | 54× | 2 | valid |
| 19.0ms | 31× | 1 | valid |
| 5.0ms | 5× | 3 | valid |
Compiled 362 to 48 computations (86.7% saved)
ival-div: 38.0ms (36.6% of total)ival-mult: 28.0ms (26.9% of total)adjust: 15.0ms (14.4% of total)ival-add: 10.0ms (9.6% of total)ival-sqrt: 6.0ms (5.8% of total)ival-neg: 4.0ms (3.8% of total)ival-sub: 3.0ms (2.9% of total)exact: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (/.f64 b a) #s(literal -2 binary64)) |
(/.f64 b a) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b))) |
#s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b)) |
(/.f64 c b) |
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a))) |
#s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)) |
(-.f64 (/.f64 (*.f64 a c) b) b) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 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)) |
(neg.f64 b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) |
(*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) 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 (*.f64 a c) b) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) |
(*.f64 a (/.f64 (/.f64 c 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)) |
(/ b 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) |
(* -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))))))) |
(* -1 (/ b a)) |
(/ (- (/ (* a c) b) b) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(* -1 b) |
(- (/ (* a c) b) 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)))))))) |
(+ b (* -4 (/ (* a c) b))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(/ (* a c) b) |
(/ (* a c) (pow b 2)) |
(* 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)))))) |
(/ c b) |
(- (* -1 (/ b a)) (* -1 (/ c b))) |
(+ (* -1 (/ b a)) (/ c b)) |
(* a (+ (* -1 (/ b a)) (/ c b))) |
(* (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)))))) |
(* -4 (/ (* a c) b)) |
(* a (+ (* -4 (/ c b)) (/ b 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))) |
(+ (* -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))))))) |
(* -1 (* a (+ (* -1 (/ c b)) (/ 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 (+ (* -1 (/ b a)) (* 4 (/ c b))))) |
(* -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))))) |
(+ (* 1/2 (* (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 (/ (pow b 2) a)) (* -1 c)) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ (* -1 (pow b 2)) (* a c)) b) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* 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))))))))) |
(/ (+ (* -4 (* a c)) (pow b 2)) b) |
(- (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) |
(* 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 (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ (* a c) (pow b 2)) 1)) |
(/ (+ (* -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 (+ 1 (* -4 (/ (* a c) (pow b 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 (+ (* -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 (* -1 (/ (* a c) (pow b 2)))))) |
(* -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)))))))) |
(* -1 (* b (- (* 4 (/ (* a c) (pow b 2))) 1))) |
(+ (* -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)))) |
(* 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 b) (/ b a)) |
(* 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 (+ (* 1/4 (* (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 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b c)) (/ a b))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* 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 b)) (/ b 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 (+ (* 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 (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (+ (* -1 (/ a b)) (/ b c)))) |
(* -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 (+ (* -1 (/ b c)) (* 4 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | b | @ | -inf | ((+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ (/ b a) -2) (/ b a) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ c b) (/ (- (/ (* a c) b) b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (- (/ (* a c) b) b) (+ (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)) -4) 1) b) (* (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)) (/ (* a c) b) (- (* b b) (* (* 4 a) c)) (sqrt (- (* b b) (* (* 4 a) c))) (* a (/ (/ c b) b))) |
| 8.0ms | b | @ | 0 | ((+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ (/ b a) -2) (/ b a) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ c b) (/ (- (/ (* a c) b) b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (- (/ (* a c) b) b) (+ (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)) -4) 1) b) (* (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)) (/ (* a c) b) (- (* b b) (* (* 4 a) c)) (sqrt (- (* b b) (* (* 4 a) c))) (* a (/ (/ c b) b))) |
| 4.0ms | c | @ | -inf | ((+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ (/ b a) -2) (/ b a) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ c b) (/ (- (/ (* a c) b) b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (- (/ (* a c) b) b) (+ (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)) -4) 1) b) (* (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)) (/ (* a c) b) (- (* b b) (* (* 4 a) c)) (sqrt (- (* b b) (* (* 4 a) c))) (* a (/ (/ c b) b))) |
| 4.0ms | a | @ | -inf | ((+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ (/ b a) -2) (/ b a) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ c b) (/ (- (/ (* a c) b) b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (- (/ (* a c) b) b) (+ (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)) -4) 1) b) (* (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)) (/ (* a c) b) (- (* b b) (* (* 4 a) c)) (sqrt (- (* b b) (* (* 4 a) c))) (* a (/ (/ c b) b))) |
| 4.0ms | a | @ | inf | ((+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ (/ b a) -2) (/ b a) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/ c b) (/ (- (/ (* a c) b) b) a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (- (/ (* a c) b) b) (+ (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)) -4) 1) b) (* (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) b) (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)) (/ (* a c) b) (- (* b b) (* (* 4 a) c)) (sqrt (- (* b b) (* (* 4 a) c))) (* a (/ (/ c b) b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 702 | 4343 |
| 1 | 2502 | 4248 |
| 0 | 8411 | 4064 |
| 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)) |
(/ b 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) |
(* -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))))))) |
(* -1 (/ b a)) |
(/ (- (/ (* a c) b) b) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(* -1 b) |
(- (/ (* a c) b) 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)))))))) |
(+ b (* -4 (/ (* a c) b))) |
(pow b 2) |
(+ (* -4 (* a c)) (pow b 2)) |
(/ (* a c) b) |
(/ (* a c) (pow b 2)) |
(* 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)))))) |
(/ c b) |
(- (* -1 (/ b a)) (* -1 (/ c b))) |
(+ (* -1 (/ b a)) (/ c b)) |
(* a (+ (* -1 (/ b a)) (/ c b))) |
(* (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)))))) |
(* -4 (/ (* a c) b)) |
(* a (+ (* -4 (/ c b)) (/ b 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))) |
(+ (* -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))))))) |
(* -1 (* a (+ (* -1 (/ c b)) (/ 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 (+ (* -1 (/ b a)) (* 4 (/ c b))))) |
(* -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))))) |
(+ (* 1/2 (* (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 (/ (pow b 2) a)) (* -1 c)) b) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (+ (* -1 (pow b 2)) (* a c)) b) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -4)))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -4)))))) 1)) (* (sqrt (* a c)) (sqrt -4))) |
(+ (* 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))))))))) |
(/ (+ (* -4 (* a c)) (pow b 2)) b) |
(- (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) |
(* 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 (- (/ c (pow b 2)) (/ 1 a))) |
(* b (- (/ (* a c) (pow b 2)) 1)) |
(/ (+ (* -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 (+ 1 (* -4 (/ (* a c) (pow b 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 (+ (* -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 (* -1 (/ (* a c) (pow b 2)))))) |
(* -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)))))))) |
(* -1 (* b (- (* 4 (/ (* a c) (pow b 2))) 1))) |
(+ (* -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)))) |
(* 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 b) (/ b a)) |
(* 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 (+ (* 1/4 (* (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 (/ b (* a c))) (/ 1 b))) |
(* c (+ (* -1 (/ b c)) (/ a b))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -4)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -4) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -4)))) (* (sqrt (/ a c)) (sqrt -4)))) (/ b c))) |
(* 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 b)) (/ b 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 (+ (* 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 (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (+ (* -1 (/ a b)) (/ b c)))) |
(* -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 (+ (* -1 (/ b c)) (* 4 (/ a b))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
| Outputs |
|---|
(/ (+ (* -1/2 b) (* 1/2 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) #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 (neg.f64 (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a #s(literal 0 binary64)) 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 (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)) a #s(literal 0 binary64)) a) |
(* -1/2 (/ b a)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 b a)) |
(/ b a) |
(/.f64 b a) |
(* 1/2 (/ b a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 b a)) |
(/ (+ (* -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 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)) a (*.f64 #s(literal 1/2 binary64) 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 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 (/.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 (*.f64 (neg.f64 c) c) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(/ (- (/ (* a c) b) b) a) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(* -1 b) |
(neg.f64 b) |
(- (/ (* a c) b) b) |
(-.f64 (/.f64 (*.f64 c a) b) b) |
(* -2 (/ (* a c) b)) |
(*.f64 #s(literal -2 binary64) (/.f64 (*.f64 c a) b)) |
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b |
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(/ (* a c) (pow b 2)) |
(*.f64 (/.f64 a b) (/.f64 c b)) |
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(/ c b) |
(/.f64 c b) |
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(* -4 (/ (* a c) b)) |
(*.f64 (/.f64 (*.f64 c a) b) #s(literal -4 binary64)) |
(* a (+ (* -4 (/ c b)) (/ b a))) |
(*.f64 (fma.f64 (/.f64 c b) #s(literal -4 binary64) (/.f64 b a)) a) |
(* -4 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -4 binary64)) |
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(* -1 (* a (+ (* -1 (/ c b)) (/ 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 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 1/512 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 #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 (/ b c)) (* 4 (/ a b))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 a b) #s(literal 4 binary64) (/.f64 (neg.f64 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))) |
(* -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: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 426 |
| 0 | 90 | 426 |
| 1 | 313 | 410 |
| 2 | 2493 | 410 |
| 0 | 9025 | 403 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (/.f64 b a) #s(literal -2 binary64)) |
(/.f64 b a) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b))) |
#s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b)) |
(/.f64 c b) |
(/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a))) |
#s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a)) |
(-.f64 (/.f64 (*.f64 a c) b) b) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 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)) |
(neg.f64 b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64)))) |
(*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) |
(*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) 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 (*.f64 a c) b) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) |
(*.f64 a (/.f64 (/.f64 c b) b)) |
| Outputs |
|---|
(/.f64 (fma.f64 (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 3 binary64)) (+.f64 (/.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 b (neg.f64 (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))) (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 2 binary64))) (*.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 b (neg.f64 (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))) (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) a) #s(literal 2 binary64)) #s(literal 3 binary64)))) (*.f64 (+.f64 (/.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 b (neg.f64 (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))) (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 2 binary64))) (+.f64 (/.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 b (neg.f64 (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))) (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 (/.f64 b a) #s(literal 2 binary64)) a) (*.f64 #s(literal -4 binary64) a) (*.f64 (*.f64 #s(literal -4 binary64) a) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -2 binary64)))) (pow.f64 (*.f64 #s(literal -4 binary64) a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.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 (*.f64 c a) #s(literal -4 binary64) (*.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 (*.f64 c a) #s(literal -4 binary64) (*.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 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) a) (*.f64 (neg.f64 a) #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 b))) (*.f64 #s(literal 2 binary64) (*.f64 (neg.f64 a) #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) a) (neg.f64 (*.f64 #s(literal -2 binary64) a)) (*.f64 #s(literal 2 binary64) (neg.f64 b))) (*.f64 #s(literal 2 binary64) (neg.f64 (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.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 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) a) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (/.f64 b a))) #s(literal -4 binary64)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) a) (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) b)) (*.f64 #s(literal 2 binary64) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64))) a (*.f64 (neg.f64 a) (/.f64 (neg.f64 b) #s(literal 2 binary64)))) (*.f64 (neg.f64 a) a)) |
(/.f64 (fma.f64 (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 (neg.f64 a) (neg.f64 (neg.f64 b)))) (*.f64 (neg.f64 a) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64))) #s(literal 2 binary64) (*.f64 (neg.f64 a) (/.f64 (neg.f64 b) a))) (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64))) (*.f64 (neg.f64 a) #s(literal -2 binary64)) (*.f64 (neg.f64 a) (neg.f64 b))) (*.f64 (neg.f64 a) (*.f64 (neg.f64 a) #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64))) (neg.f64 (*.f64 #s(literal -2 binary64) a)) (*.f64 (neg.f64 a) (neg.f64 b))) (*.f64 (neg.f64 a) (neg.f64 (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (fma.f64 (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 (neg.f64 a) (neg.f64 b))) (*.f64 (neg.f64 a) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (fma.f64 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64))) #s(literal -2 binary64) (*.f64 (neg.f64 a) (/.f64 b a))) (*.f64 (neg.f64 a) #s(literal -2 binary64))) |
(/.f64 (fma.f64 (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 (neg.f64 a) b)) (*.f64 (neg.f64 a) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) a (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a)) (/.f64 (neg.f64 b) #s(literal 2 binary64)))) (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a)) a)) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a) (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a)) (neg.f64 (neg.f64 b)))) (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a)) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) #s(literal 2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a)) (/.f64 (neg.f64 b) a))) (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a)) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 (neg.f64 a) #s(literal -2 binary64)) (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a)) (neg.f64 b))) (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a)) (*.f64 (neg.f64 a) #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (neg.f64 (*.f64 #s(literal -2 binary64) a)) (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a)) (neg.f64 b))) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 #s(literal 2 binary64) a) (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a)) (neg.f64 b))) (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a)) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) #s(literal -2 binary64) (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a)) (/.f64 b a))) (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a)) #s(literal -2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 #s(literal -2 binary64) a) (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a)) b)) (*.f64 (neg.f64 (*.f64 #s(literal -2 binary64) a)) (*.f64 #s(literal -2 binary64) a))) |
(/.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 (neg.f64 b) #s(literal 2 binary64)))) (*.f64 a a)) |
(/.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 (neg.f64 (neg.f64 b)))) (*.f64 a (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64)) (*.f64 (neg.f64 a) #s(literal -2 binary64)) (*.f64 a (neg.f64 b))) (*.f64 a (*.f64 (neg.f64 a) #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal -2 binary64) a)) (*.f64 a (neg.f64 b))) (*.f64 a (neg.f64 (*.f64 #s(literal -2 binary64) a)))) |
(/.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 (neg.f64 b))) (*.f64 a (*.f64 #s(literal 2 binary64) a))) |
(/.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 (neg.f64 b) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal -2 binary64) a) a)) |
(/.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) (neg.f64 (neg.f64 b)))) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 (neg.f64 a) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal -2 binary64) a) (neg.f64 b))) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 (neg.f64 a) #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (neg.f64 (*.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 (*.f64 #s(literal -2 binary64) a)))) |
(/.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) (neg.f64 b))) (*.f64 (*.f64 #s(literal -2 binary64) a) (*.f64 #s(literal 2 binary64) a))) |
(/.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 (neg.f64 b) #s(literal 2 binary64)))) (*.f64 (*.f64 #s(literal 2 binary64) a) a)) |
(/.f64 (fma.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) (neg.f64 (neg.f64 b)))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (*.f64 (neg.f64 a) #s(literal -2 binary64)) (*.f64 (*.f64 #s(literal 2 binary64) a) (neg.f64 b))) (*.f64 (*.f64 #s(literal 2 binary64) a) (*.f64 (neg.f64 a) #s(literal -2 binary64)))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (neg.f64 (*.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 (*.f64 #s(literal -2 binary64) a)))) |
(/.f64 (fma.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) (neg.f64 b))) (pow.f64 (*.f64 #s(literal -2 binary64) a) #s(literal 2 binary64))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) #s(literal 2 binary64)) #s(literal 2 binary64) (*.f64 a (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) a))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) #s(literal 2 binary64)) (neg.f64 a) (*.f64 a (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64))))) (*.f64 a (neg.f64 a))) |
(/.f64 (fma.f64 (/.f64 (neg.f64 b) #s(literal 2 binary64)) (neg.f64 (*.f64 #s(literal -2 binary64) a)) (*.f64 a (neg.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))))) (*.f64 a (neg.f64 (*.f64 #s(literal -2 binary64) a)))) |
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(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) |
(*.f64 (neg.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) #s(literal 1 binary64)) |
(pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) |
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))))) |
(fabs.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) |
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 (/.f64 (/.f64 c b) b) a) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))))) |
(*.f64 (/.f64 (/.f64 c b) b) a) |
(*.f64 a (/.f64 (/.f64 c b) b)) |
(/.f64 (*.f64 (/.f64 (neg.f64 c) b) a) (neg.f64 b)) |
(/.f64 (*.f64 a (/.f64 (neg.f64 c) b)) (neg.f64 b)) |
(/.f64 (neg.f64 (*.f64 (/.f64 c b) a)) (neg.f64 b)) |
(/.f64 (*.f64 (neg.f64 a) c) (*.f64 (neg.f64 b) b)) |
(/.f64 (*.f64 (/.f64 c b) a) b) |
(/.f64 (*.f64 c a) (*.f64 b b)) |
Compiled 29 836 to 2 991 computations (90% saved)
22 alts after pruning (16 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 696 | 10 | 706 |
| Fresh | 3 | 6 | 9 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 3 | 4 |
| Total | 702 | 22 | 724 |
| Status | Accuracy | Program |
|---|---|---|
| 22.1% | (/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (*.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))) | |
| ▶ | 32.0% | (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) (*.f64 #s(literal 2 binary64) a)) |
| 28.4% | (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) | |
| 4.5% | (/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a b)) (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a b)) (*.f64 #s(literal 2 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a b)) (*.f64 #s(literal 2 binary64) a)))))) | |
| ✓ | 53.5% | (/.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)) |
| ✓ | 47.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 32.9% | (/.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)) |
| 38.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) (*.f64 #s(literal 2 binary64) a)) | |
| 32.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -4 binary64))) b))))) (*.f64 #s(literal 2 binary64) a)) | |
| 28.2% | (/.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)) | |
| ▶ | 6.9% | (+.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) b))) |
| ▶ | 52.3% | (+.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) |
| 33.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)) | |
| 36.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| ✓ | 32.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 35.5% | #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)) | |
| ✓ | 31.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a))) |
| ▶ | 22.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))) |
| ✓ | 11.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b))) |
| 32.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) | |
| 30.6% | #s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a)) | |
| ▶ | 12.1% | #s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) #s(literal 0 binary64)) |
Compiled 1 379 to 849 computations (38.4% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 b b) | |
| cost-diff | 0 | (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) | |
| cost-diff | 0 | (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) | |
| cost-diff | 1 | (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) (*.f64 #s(literal 2 binary64) a)) | |
| cost-diff | 0 | (/.f64 (/.f64 b a) #s(literal -2 binary64)) | |
| cost-diff | 0 | (+.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) b))) | |
| cost-diff | 1 | (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) | |
| cost-diff | 2 | (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) b) | |
| cost-diff | 0 | (-.f64 c (/.f64 (*.f64 b b) a)) | |
| cost-diff | 0 | #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))) | |
| cost-diff | 2 | (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) | |
| cost-diff | 0 | #s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) #s(literal 0 binary64)) | |
| 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 | 0 | (*.f64 #s(literal -2 binary64) a) | |
| cost-diff | 0 | (/.f64 b (*.f64 #s(literal -2 binary64) a)) | |
| cost-diff | 4 | (+.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) |
Useful iterations: 9 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 462 |
| 0 | 98 | 462 |
| 1 | 162 | 447 |
| 2 | 369 | 439 |
| 3 | 1055 | 419 |
| 4 | 3011 | 416 |
| 5 | 4869 | 416 |
| 6 | 5848 | 416 |
| 7 | 6422 | 416 |
| 8 | 6948 | 416 |
| 9 | 7179 | 415 |
| 10 | 7493 | 415 |
| 0 | 8052 | 415 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 b (*.f64 #s(literal -2 binary64) a)) |
b |
(*.f64 #s(literal -2 binary64) a) |
#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) |
c |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))) |
#s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)) |
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) |
(-.f64 c (/.f64 (*.f64 b b) a)) |
c |
(/.f64 (*.f64 b b) a) |
(*.f64 b b) |
b |
a |
(+.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) b))) |
(/.f64 (/.f64 b a) #s(literal -2 binary64)) |
(/.f64 b a) |
b |
a |
#s(literal -2 binary64) |
#s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) b)) |
(*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) b) |
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) |
(/.f64 c (*.f64 b b)) |
c |
(*.f64 b b) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) |
(-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) |
(*.f64 b b) |
b |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) |
(*.f64 (*.f64 #s(literal -4 binary64) a) c) |
(*.f64 #s(literal -4 binary64) a) |
#s(literal -4 binary64) |
a |
c |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
| Outputs |
|---|
(+.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) b) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 b (*.f64 #s(literal -2 binary64) a)) |
(/.f64 (/.f64 b a) #s(literal -2 binary64)) |
b |
(*.f64 #s(literal -2 binary64) a) |
(*.f64 a #s(literal -2 binary64)) |
#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) |
c |
(*.f64 b b) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
#s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) #s(literal 0 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
#s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)) |
#s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a))) |
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) |
(-.f64 (/.f64 c b) (/.f64 b a)) |
(-.f64 c (/.f64 (*.f64 b b) a)) |
(fma.f64 (/.f64 (neg.f64 b) a) b c) |
c |
(/.f64 (*.f64 b b) a) |
(*.f64 b b) |
b |
a |
(+.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) b))) |
(+.f64 #s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 c b)))) (/.f64 (/.f64 b a) #s(literal -2 binary64))) |
(/.f64 (/.f64 b a) #s(literal -2 binary64)) |
(/.f64 b a) |
b |
a |
#s(literal -2 binary64) |
#s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) b)) |
#s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 c b)))) |
(*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) b) |
(neg.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 c b))) |
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) |
(-.f64 (/.f64 #s(literal 1/2 binary64) a) (/.f64 (/.f64 c b) b)) |
(/.f64 c (*.f64 b b)) |
(/.f64 (/.f64 c b) b) |
c |
(*.f64 b b) |
#s(literal -1 binary64) |
(/.f64 #s(literal 1/2 binary64) a) |
#s(literal 1/2 binary64) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) a) (*.f64 #s(literal -2 binary64) (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) b))) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) |
(-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) |
(*.f64 b b) |
b |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) |
(*.f64 (*.f64 #s(literal -4 binary64) a) c) |
(*.f64 #s(literal -4 binary64) a) |
#s(literal -4 binary64) |
a |
c |
(-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) |
(neg.f64 b) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) |
(*.f64 #s(literal 2 binary64) a) |
#s(literal 2 binary64) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 13.380523823658992 | (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) | |
| accuracy | 23.99003936224296 | (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) | |
| accuracy | 33.87259608448797 | (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) | |
| accuracy | 40.36586048085413 | #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) | |
| accuracy | 3.7244083272689026 | (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) b) | |
| accuracy | 8.228423776311445 | (/.f64 c (*.f64 b b)) | |
| accuracy | 17.62575975385283 | (+.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) b))) | |
| accuracy | 40.5944061245967 | #s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) b)) | |
| accuracy | 0.0078125 | (-.f64 c (/.f64 (*.f64 b b) a)) | |
| accuracy | 7.987365806002903 | (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) | |
| accuracy | 9.910555197444095 | (/.f64 (*.f64 b b) a) | |
| accuracy | 43.1524228027094 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))) | |
| accuracy | 56.23414933649295 | #s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) #s(literal 0 binary64)) | |
| accuracy | 0.07421875 | (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a)) | |
| accuracy | 0.5976562500000001 | (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) | |
| accuracy | 17.62575975385283 | (+.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) | |
| accuracy | 23.99003936224296 | (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
| 232.0ms | 70× | 1 | valid |
| 95.0ms | 86× | 2 | valid |
| 29.0ms | 89× | 0 | valid |
| 16.0ms | 11× | 3 | valid |
Compiled 363 to 51 computations (86% saved)
ival-div: 208.0ms (65% of total)ival-mult: 41.0ms (12.8% of total)adjust: 31.0ms (9.7% of total)ival-add: 17.0ms (5.3% of total)ival-sub: 9.0ms (2.8% of total)ival-sqrt: 7.0ms (2.2% of total)ival-neg: 6.0ms (1.9% of total)exact: 1.0ms (0.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 b (*.f64 #s(literal -2 binary64) a)) |
(*.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)) |
#s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) #s(literal 0 binary64)) |
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))) |
#s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)) |
(-.f64 c (/.f64 (*.f64 b b) a)) |
(*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) b) |
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) |
(+.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) b))) |
(/.f64 (/.f64 b a) #s(literal -2 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) |
(-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) |
(*.f64 b b) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(/.f64 (*.f64 b b) a) |
#s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) b)) |
(/.f64 c (*.f64 b b)) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) |
| 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)) |
(* -2 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) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(* -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))))))) |
(/ (- (/ (* a c) b) b) a) |
(* -1 (/ (pow b 2) a)) |
(/ (- (* a c) (pow b 2)) a) |
(/ 1/2 a) |
(/ (+ 1/2 (* -1 (/ (* a c) (pow b 2)))) a) |
(+ (* -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)) |
(* 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))) (* 4 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))))))))) |
(* 4 (* a c)) |
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)) |
(/ (pow b 2) a) |
(* 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)))))) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(- (* -1 (/ b a)) (* -1 (/ c b))) |
c |
(+ c (* -1 (/ (pow b 2) a))) |
(+ (* -1 (/ c b)) (* 1/2 (/ b a))) |
(* -1 (/ c (pow b 2))) |
(+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 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) |
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (+ (* 4 (/ (+ (* -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))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))))) |
(* (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 (- (/ (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))) |
(+ (* -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))))))) |
(* (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)) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(+ (* -1 b) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 4 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* a b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 4 (/ (+ (* -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))) a)) (* a b)) a)) (* 2 (* (sqrt (* a c)) (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 (- (* -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))))) |
(+ (* 1/2 (* (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))))))))) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b) |
(/ (+ (* -1 c) (* 1/2 (/ (pow b 2) a))) b) |
(/ (+ (* -1 c) (* 1/2 (/ (pow b 2) a))) (pow b 2)) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 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))))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* 4 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -4 (* b (- (* 1/2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 4 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(+ (* 1/2 (* (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))))))))) |
(/ c (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) |
(* 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 (- (/ c (pow b 2)) (/ 1 a))) |
(* (pow b 2) (- (/ c (pow b 2)) (/ 1 a))) |
(/ (+ (* -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) |
(/ (+ (* -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))) (* 4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (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))))))) |
(* (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 (+ (* -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 (- (/ c (pow b 2)) (* 1/2 (/ 1 a))))) |
(* -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)))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4))) (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b 6))) (+ (* -4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4))) (* -2 (/ (* a c) (pow b 2)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(+ (* -1/2 (/ 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))))) |
(+ (* 1/2 (/ 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)))) |
(* 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 b) (/ b a)) |
(- c (/ (pow b 2) a)) |
(* 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 (/ 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))) (* 4 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))))))))) |
(+ 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 (+ (* 1/4 (* (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 (/ b (* a c))) (/ 1 b))) |
(* c (+ 1 (* -1 (/ (pow b 2) (* a c))))) |
(* c (- (* 1/2 (/ b (* a c))) (/ 1 b))) |
(* c (- (* 1/2 (/ 1 (* a c))) (/ 1 (pow b 2)))) |
(- (+ (* -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))))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (+ (* 4 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))))) |
(* 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 (- (/ (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 (+ (* 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 (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ (pow b 2) (* a c)) 1))) |
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (/ 1 b)))) |
(* -1 (* c (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (* a 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 (/ (+ (* 4 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) (* 4 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c))) c)) (* b c)) 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 (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 29.0ms | b | @ | -inf | ((+ (/ b (* -2 a)) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ b (* -2 a)) (* -2 a) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ (- c (/ (* b b) a)) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (- c (/ (* b b) a)) (* (+ (* (/ c (* b b)) -1) (/ 1/2 a)) b) (+ (* (/ c (* b b)) -1) (/ 1/2 a)) (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ (/ b a) -2) (/ (/ (- (* b b) (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* 2 a)) (/ (- (* b b) (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (- (* b b) (- (* b b) (* (* 4 a) c))) (* b b) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)) (/ (* b b) a) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (/ c (* b b)) (- (* b b) (* (* 4 a) c)) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 13.0ms | a | @ | 0 | ((+ (/ b (* -2 a)) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ b (* -2 a)) (* -2 a) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ (- c (/ (* b b) a)) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (- c (/ (* b b) a)) (* (+ (* (/ c (* b b)) -1) (/ 1/2 a)) b) (+ (* (/ c (* b b)) -1) (/ 1/2 a)) (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ (/ b a) -2) (/ (/ (- (* b b) (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* 2 a)) (/ (- (* b b) (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (- (* b b) (- (* b b) (* (* 4 a) c))) (* b b) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)) (/ (* b b) a) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (/ c (* b b)) (- (* b b) (* (* 4 a) c)) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 7.0ms | a | @ | inf | ((+ (/ b (* -2 a)) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ b (* -2 a)) (* -2 a) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ (- c (/ (* b b) a)) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (- c (/ (* b b) a)) (* (+ (* (/ c (* b b)) -1) (/ 1/2 a)) b) (+ (* (/ c (* b b)) -1) (/ 1/2 a)) (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ (/ b a) -2) (/ (/ (- (* b b) (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* 2 a)) (/ (- (* b b) (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (- (* b b) (- (* b b) (* (* 4 a) c))) (* b b) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)) (/ (* b b) a) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (/ c (* b b)) (- (* b b) (* (* 4 a) c)) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 6.0ms | c | @ | inf | ((+ (/ b (* -2 a)) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ b (* -2 a)) (* -2 a) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ (- c (/ (* b b) a)) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (- c (/ (* b b) a)) (* (+ (* (/ c (* b b)) -1) (/ 1/2 a)) b) (+ (* (/ c (* b b)) -1) (/ 1/2 a)) (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ (/ b a) -2) (/ (/ (- (* b b) (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* 2 a)) (/ (- (* b b) (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (- (* b b) (- (* b b) (* (* 4 a) c))) (* b b) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)) (/ (* b b) a) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (/ c (* b b)) (- (* b b) (* (* 4 a) c)) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 5.0ms | c | @ | -inf | ((+ (/ b (* -2 a)) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ b (* -2 a)) (* -2 a) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ (- c (/ (* b b) a)) b) (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (- c (/ (* b b) a)) (* (+ (* (/ c (* b b)) -1) (/ 1/2 a)) b) (+ (* (/ c (* b b)) -1) (/ 1/2 a)) (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/ (/ b a) -2) (/ (/ (- (* b b) (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (* 2 a)) (/ (- (* b b) (- (* b b) (* (* 4 a) c))) (- (neg b) (sqrt (- (* b b) (* (* 4 a) c))))) (- (* b b) (- (* b b) (* (* 4 a) c))) (* b b) (sqrt (+ (* -4 (* a c)) (* b b))) (+ (* -4 (* a c)) (* b b)) (/ (* b b) a) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (/ c (* b b)) (- (* b b) (* (* 4 a) c)) (sqrt (- (* b b) (* (* 4 a) c)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 969 | 5554 |
| 1 | 3621 | 5424 |
| 0 | 8088 | 5186 |
| 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)) |
(* -2 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) |
(* -1 (/ b a)) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(* -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))))))) |
(/ (- (/ (* a c) b) b) a) |
(* -1 (/ (pow b 2) a)) |
(/ (- (* a c) (pow b 2)) a) |
(/ 1/2 a) |
(/ (+ 1/2 (* -1 (/ (* a c) (pow b 2)))) a) |
(+ (* -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)) |
(* 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))) (* 4 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))))))))) |
(* 4 (* a c)) |
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)) |
(/ (pow b 2) a) |
(* 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)))))) |
(/ c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(- (* -1 (/ b a)) (* -1 (/ c b))) |
c |
(+ c (* -1 (/ (pow b 2) a))) |
(+ (* -1 (/ c b)) (* 1/2 (/ b a))) |
(* -1 (/ c (pow b 2))) |
(+ (* -1 (/ c (pow b 2))) (* 1/2 (/ 1 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) |
(* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* 4 (/ b (pow (sqrt -4) 2)))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (+ (* 4 (/ (+ (* -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))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow a 3) c)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow a 2)))))) |
(* (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 (- (/ (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))) |
(+ (* -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))))))) |
(* (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)) |
(* 2 (* (sqrt (* a c)) (sqrt -1))) |
(+ (* -1 b) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 4 (/ (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1))))) a)) (* a b)) a)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (+ (* -1/8 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow a 3) c)) (* (pow b 2) (sqrt -1)))))) (* 4 (/ (+ (* -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))) a)) (* a b)) a)) (* 2 (* (sqrt (* a c)) (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 (- (* -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))))) |
(+ (* 1/2 (* (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))))))))) |
(/ (+ c (* -1 (/ (pow b 2) a))) b) |
(/ (- (* -1 (/ (pow b 2) a)) (* -1 c)) b) |
(/ (+ (* -1 c) (* 1/2 (/ (pow b 2) a))) b) |
(/ (+ (* -1 c) (* 1/2 (/ (pow b 2) a))) (pow b 2)) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* 2 (/ b (* a (pow (sqrt -4) 2))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* 2 (* b (+ (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -4) 3))))))) (* 2 (/ 1 (* a (pow (sqrt -4) 2))))))) |
(+ (* -2 (* (sqrt (/ c a)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -2 (* b (- (* 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))))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* 4 (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (* b (+ (* b (+ (* -4 (* b (- (* 1/2 (/ 1 (* a (* c (pow (sqrt -4) 4))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3))))) (sqrt -4))))))) (* 4 (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (pow (sqrt -4) 3)))))))) (* 4 (/ 1 (pow (sqrt -4) 2)))))) |
(+ (* 1/2 (* (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))))))))) |
(/ c (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) |
(* 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 (- (/ c (pow b 2)) (/ 1 a))) |
(* (pow b 2) (- (/ c (pow b 2)) (/ 1 a))) |
(/ (+ (* -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) |
(/ (+ (* -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))) (* 4 (/ (+ (* -2 (* (pow a 4) (pow c 4))) (* -1/2 (* (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))))))) |
(* (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 (+ (* -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 (- (/ c (pow b 2)) (* 1/2 (/ 1 a))))) |
(* -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)))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4))) (* -2 (/ (* a c) (pow b 2))))))) |
(* -1 (* b (+ 2 (+ (* -4 (/ (+ (* -1 (* a (* c (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2)))))) (+ (* -1 (* (pow a 3) (pow c 3))) (* 1/8 (/ (+ (* 4 (* (pow a 4) (pow c 4))) (* 16 (* (pow a 4) (pow c 4)))) (* a c))))) (pow b 6))) (+ (* -4 (/ (+ (* -1/2 (* (pow a 2) (pow c 2))) (* (pow a 2) (pow c 2))) (pow b 4))) (* -2 (/ (* a c) (pow b 2)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -4 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -2 (/ (* a c) (pow b 2))) (* -2 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(+ (* -1/2 (/ 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))))) |
(+ (* 1/2 (/ 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)))) |
(* 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 b) (/ b a)) |
(- c (/ (pow b 2) a)) |
(* 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 (/ 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))) (* 4 (* c (+ (* -2 (/ (pow a 4) (pow b 7))) (* -1/2 (/ (pow a 4) (pow b 7)))))))))))) |
(+ 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 (+ (* 1/4 (* (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 (/ b (* a c))) (/ 1 b))) |
(* c (+ 1 (* -1 (/ (pow b 2) (* a c))))) |
(* c (- (* 1/2 (/ b (* a c))) (/ 1 b))) |
(* c (- (* 1/2 (/ 1 (* a c))) (/ 1 (pow b 2)))) |
(- (+ (* -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))))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (+ (* 4 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))))) |
(* 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 (- (/ (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 (+ (* 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 (- (/ b (* a c)) (/ 1 b)))) |
(* -1 (* c (- (/ (pow b 2) (* a c)) 1))) |
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (/ 1 b)))) |
(* -1 (* c (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (* a 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 (/ (+ (* 4 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) (* 4 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c))) c)) (* b c)) 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 (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
| 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 #s(literal -1/2 binary64) (/.f64 b a)) |
(* -2 a) |
(*.f64 #s(literal -2 binary64) a) |
(* 1/2 (/ b a)) |
(*.f64 #s(literal 1/2 binary64) (/.f64 b a)) |
(/ (+ (* -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) |
(* -1 (/ b a)) |
(/.f64 (neg.f64 b) a) |
(/ (+ (* -1 b) (/ (* a c) b)) a) |
(/.f64 (fma.f64 a (/.f64 c b) (neg.f64 b)) a) |
(* -1 (/ 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 (*.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 -1/4 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)) |
(/ (- (/ (* a c) b) b) a) |
(/.f64 (-.f64 (/.f64 (*.f64 c a) b) b) a) |
(* -1 (/ (pow b 2) a)) |
(/.f64 (*.f64 (neg.f64 b) b) a) |
(/ (- (* a c) (pow b 2)) a) |
(/.f64 (fma.f64 c a (*.f64 (neg.f64 b) b)) a) |
(/ 1/2 a) |
(/.f64 #s(literal 1/2 binary64) a) |
(/ (+ 1/2 (* -1 (/ (* a c) (pow b 2)))) a) |
(/.f64 (fma.f64 (neg.f64 a) (/.f64 c (*.f64 b b)) #s(literal 1/2 binary64)) a) |
(+ (* -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 (*.f64 #s(literal -2 binary64) (-.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5/2 binary64)) a))) a (/.f64 (neg.f64 (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (/.f64 (neg.f64 c) b)) |
(* -2 (/ (* a c) b)) |
(*.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64)) |
(* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a) |
(* a (+ (* -2 (/ c b)) (* a (+ (* -2 (/ (pow c 2) (pow b 3))) (* a (+ (* -4 (/ (pow c 3) (pow b 5))) (* 4 (* a (+ (* -2 (/ (pow c 4) (pow b 7))) (* -1/2 (/ (pow c 4) (pow b 7)))))))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -4 binary64) (-.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 7 binary64))) #s(literal -5/2 binary64)) a))) a (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a) |
(* 4 (* a c)) |
(*.f64 (*.f64 #s(literal 4 binary64) a) c) |
b |
(+ b (* -2 (/ (* a c) b))) |
(fma.f64 (/.f64 (*.f64 c a) b) #s(literal -2 binary64) b) |
(+ b (* a (+ (* -2 (/ c b)) (* -2 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (fma.f64 a (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (/.f64 c b))) a b) |
(+ b (* a (+ (* -2 (/ c b)) (* a (+ (* -4 (/ (* a (pow c 3)) (pow b 5))) (* -2 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (*.f64 #s(literal -4 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -2 binary64))) a b) |
(pow b 2) |
(*.f64 b b) |
(+ (* -4 (* a c)) (pow b 2)) |
(fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) |
(/ (pow b 2) a) |
(/.f64 (*.f64 b b) a) |
(* 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)))) |
(*.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))))) |
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(/ c b) |
(/.f64 c b) |
(+ (* -1 (/ b a)) (/ c b)) |
(fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 c b)) |
(- (* -1 (/ b a)) (* -1 (/ c b))) |
(-.f64 (/.f64 (neg.f64 b) a) (/.f64 (neg.f64 c) b)) |
c |
(+ c (* -1 (/ (pow b 2) a))) |
(fma.f64 (/.f64 (*.f64 b b) a) #s(literal -1 binary64) c) |
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(* -1 (/ c (pow b 2))) |
(/.f64 (neg.f64 c) (*.f64 b b)) |
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(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) |
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(* (sqrt (* a c)) (sqrt -4)) |
(*.f64 (sqrt.f64 (*.f64 c a)) (sqrt.f64 #s(literal -4 binary64))) |
(* 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))))) |
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(* -4 (* a c)) |
(*.f64 (*.f64 c a) #s(literal -4 binary64)) |
(* a (+ (* -4 c) (/ (pow b 2) a))) |
(*.f64 (fma.f64 #s(literal -4 binary64) c (/.f64 (*.f64 b b) a)) a) |
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(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) |
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(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b 2) (sqrt -1))))) |
(fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)))) |
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(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) |
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(* 2 (* (sqrt (* a c)) (sqrt -1))) |
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(-.f64 (fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) #s(literal 1 binary64)) (neg.f64 (*.f64 c c)))) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))) |
(- (+ (* -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))))))) |
(fma.f64 (*.f64 #s(literal -2 binary64) (sqrt.f64 (/.f64 c a))) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64))) (-.f64 (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (*.f64 b (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) #s(literal 1 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (/.f64 (*.f64 c c) (*.f64 a a)) (/.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))) (neg.f64 (pow.f64 c #s(literal 3 binary64)))) (fma.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) #s(literal 1 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 b a))))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2))))) |
(fma.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) c) (/.f64 #s(literal -1/2 binary64) c) (/.f64 b #s(literal -4 binary64))) (*.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64)))) #s(literal -4 binary64))) |
(+ (* -4 (* (sqrt (* a c)) (/ 1 (sqrt -4)))) (+ (* 4 (/ b (pow (sqrt -4) 2))) (+ (* 4 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))))) (sqrt -4)))) (* -1/2 (/ (* (pow b 3) (pow c 2)) (* a (pow (sqrt -4) 4))))) (pow c 3))) (* 4 (/ (+ (* -1 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3)))) (* 1/2 (* (sqrt (/ (pow c 3) a)) (/ (pow b 2) (pow (sqrt -4) 3))))) (pow c 2)))))) |
(fma.f64 #s(literal -4 binary64) (-.f64 (*.f64 (sqrt.f64 (*.f64 c a)) (/.f64 #s(literal 1 binary64) (sqrt.f64 #s(literal -4 binary64)))) (/.f64 b #s(literal -4 binary64))) (*.f64 #s(literal 4 binary64) (fma.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) c) (/.f64 #s(literal -1/2 binary64) c) (/.f64 (fma.f64 (neg.f64 (sqrt.f64 (/.f64 c a))) (*.f64 b (/.f64 (*.f64 (*.f64 (/.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (sqrt.f64 #s(literal -4 binary64))) (/.f64 (*.f64 b b) #s(literal -4 binary64))) #s(literal -1/2 binary64)) (sqrt.f64 #s(literal -4 binary64)))) (*.f64 (/.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 c c)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 4 binary64))))) (pow.f64 c #s(literal 3 binary64)))))) |
(* 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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -4 binary64)))) #s(literal 1/2 binary64) (*.f64 (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 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal -4 binary64)))) #s(literal -1/8 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -4 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 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 (+ (* -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 (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)))) (neg.f64 c)) |
(* -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 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (*.f64 #s(literal -1/2 binary64) (/.f64 b a))) (neg.f64 c))) (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 (fma.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 b a) (/.f64 (fma.f64 (*.f64 #s(literal -1/128 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (*.f64 #s(literal 1/8 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)))) (neg.f64 c))) (neg.f64 c))) (neg.f64 c)) |
(* -1 (* c (+ (* 1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (* (pow b 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)))) (neg.f64 c)) |
(* -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)))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/128 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64))))) (neg.f64 c)) |
(* -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))))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/128 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 7 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/1024 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/8 binary64) (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c)) (sqrt.f64 #s(literal -1 binary64)))))) (neg.f64 c)) |
(* -1 (* c (- (/ b (* a c)) (/ 1 b)))) |
(*.f64 (-.f64 (/.f64 (/.f64 b a) c) (/.f64 #s(literal 1 binary64) b)) (neg.f64 c)) |
(* -1 (* c (- (/ (pow b 2) (* a c)) 1))) |
(*.f64 (-.f64 (/.f64 (/.f64 (*.f64 b b) a) c) #s(literal 1 binary64)) (neg.f64 c)) |
(* -1 (* c (+ (* -1/2 (/ b (* a c))) (/ 1 b)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 b a) c) #s(literal -1/2 binary64) (/.f64 #s(literal 1 binary64) b)) (neg.f64 c)) |
(* -1 (* c (- (/ 1 (pow b 2)) (* 1/2 (/ 1 (* a c)))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) (*.f64 c a))) (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 #s(literal -1/2 binary64) (/.f64 b a))) |
(+ (* -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 (/.f64 #s(literal 1 binary64) a) c))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (pow.f64 (/.f64 c a) #s(literal 3 binary64))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/8 binary64))) (-.f64 (*.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 (/ (+ (* 4 (/ (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))) c)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64)) c) #s(literal 4 binary64) (*.f64 c b)) (neg.f64 c))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -4 (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))))) (* 4 (/ (+ (* -1/2 (* (sqrt (/ c a)) (* b (* (sqrt -1) (+ (* -1/8 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1)))) (* 1/16 (* (sqrt (/ (pow c 3) a)) (* (pow b 2) (sqrt -1))))))))) (* -1/32 (/ (* (pow b 3) (pow c 2)) a))) c))) c)) (* b c)) c)) (* 2 (* (sqrt (* a c)) (sqrt -1)))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (sqrt.f64 (*.f64 c a))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 c b (/.f64 (*.f64 #s(literal -4 binary64) (-.f64 (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (sqrt.f64 (/.f64 c a))) (*.f64 (*.f64 b (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) a)) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal -1/16 binary64))) (*.f64 (*.f64 (pow.f64 b #s(literal 3 binary64)) (/.f64 (*.f64 c c) a)) #s(literal -1/32 binary64))) c))) (neg.f64 c))) (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 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))) (neg.f64 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 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64)))) (neg.f64 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 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) #s(literal -1/64 binary64) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64)))) #s(literal 1/512 binary64) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b b)) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/4 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) #s(literal 2 binary64))))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 4 a)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c)) (neg.f64 c)) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -4 a)))) |
(*.f64 (fma.f64 #s(literal 4 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c)) (neg.f64 c)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 388 |
| 0 | 98 | 388 |
| 1 | 328 | 334 |
| 2 | 2669 | 334 |
| 0 | 8623 | 332 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 b (*.f64 #s(literal -2 binary64) a)) |
(*.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)) |
#s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) #s(literal 0 binary64)) |
(/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))) |
#s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b)) |
(-.f64 c (/.f64 (*.f64 b b) a)) |
(*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) b) |
(fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) |
(+.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) b))) |
(/.f64 (/.f64 b a) #s(literal -2 binary64)) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) |
(-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) |
(*.f64 b b) |
(sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) |
(fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b)) |
(/.f64 (*.f64 b b) a) |
#s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) b)) |
(/.f64 c (*.f64 b b)) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 b (sqrt.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 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 (neg.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 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) |
(*.f64 (/.f64 (fma.f64 b b (+.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)))))) (fma.f64 b b (+.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 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (+.f64 (/.f64 (neg.f64 b) a) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) a)) #s(literal 2 binary64)) |
(/.f64 (+.f64 (neg.f64 (/.f64 b #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)))) (neg.f64 a)) |
(/.f64 (+.f64 (neg.f64 b) (neg.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 (neg.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64))) (neg.f64 (/.f64 b #s(literal -2 binary64)))) (neg.f64 a)) |
(/.f64 (+.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) a) (/.f64 (neg.f64 b) a)) #s(literal 2 binary64)) |
(/.f64 (+.f64 (neg.f64 (neg.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 (+.f64 b (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (+.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) b) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (*.f64 b #s(literal 2 binary64)) a (*.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64)))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (neg.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -2 binary64) (*.f64 (*.f64 (/.f64 b a) #s(literal 2 binary64)) a)) #s(literal -2 binary64))) (*.f64 a #s(literal -2 binary64))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) a)) #s(literal -2 binary64)) |
(/.f64 (neg.f64 (/.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 b b)) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)))) (neg.f64 (/.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 (neg.f64 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64))))) (neg.f64 (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 (neg.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))) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (+.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))))) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 b #s(literal 2 binary64)) a (*.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))))) (neg.f64 (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) a)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -2 binary64) (*.f64 (*.f64 (/.f64 b a) #s(literal 2 binary64)) a)))) (neg.f64 (neg.f64 (*.f64 #s(literal -4 binary64) a)))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) #s(literal 2 binary64)))) (neg.f64 (neg.f64 a))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))))) (*.f64 a #s(literal -2 binary64))) |
(/.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 a #s(literal -2 binary64)) (*.f64 a (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))))) (neg.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))))) |
(/.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 (/.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 a #s(literal -2 binary64))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (neg.f64 b) a) (*.f64 a #s(literal -2 binary64)) (*.f64 #s(literal 2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.f64 a #s(literal -2 binary64))))) |
(/.f64 (neg.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)))))) (neg.f64 (*.f64 #s(literal 2 binary64) (*.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 (neg.f64 b) (*.f64 a #s(literal -2 binary64)) (*.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 (*.f64 (*.f64 #s(literal -4 binary64) a) 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 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) (neg.f64 (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (/.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 (neg.f64 (fma.f64 (/.f64 b a) (*.f64 a #s(literal -2 binary64)) (*.f64 #s(literal -2 binary64) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))))) (neg.f64 (*.f64 #s(literal -2 binary64) (*.f64 a #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 b a (*.f64 (*.f64 a #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 (*.f64 (*.f64 a #s(literal -2 binary64)) a))) |
(/.f64 (neg.f64 (fma.f64 b (*.f64 a #s(literal -2 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))))) (neg.f64 (pow.f64 (*.f64 a #s(literal -2 binary64)) #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)) #s(literal 2 binary64) (*.f64 a (/.f64 (neg.f64 b) a)))) (*.f64 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)) (*.f64 #s(literal 2 binary64) a) (*.f64 a (neg.f64 b)))) (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)) #s(literal -2 binary64) (*.f64 a (/.f64 b 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 a #s(literal -2 binary64)) (*.f64 a b))) (neg.f64 (*.f64 a (*.f64 a #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) a (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 b #s(literal -2 binary64))))) (neg.f64 (*.f64 (*.f64 a #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)))) #s(literal 2 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 (neg.f64 b) a)))) (neg.f64 (*.f64 #s(literal -4 binary64) 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 a #s(literal -2 binary64)) (neg.f64 b)))) (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) a))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) #s(literal -2 binary64) (*.f64 (*.f64 a #s(literal -2 binary64)) (/.f64 b a)))) (neg.f64 (*.f64 (*.f64 a #s(literal -2 binary64)) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 a #s(literal -2 binary64)) (*.f64 (*.f64 a #s(literal -2 binary64)) b))) (neg.f64 (pow.f64 (*.f64 a #s(literal -2 binary64)) #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 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal 2 binary64) (*.f64 (*.f64 #s(literal 2 binary64) a) (/.f64 (neg.f64 b) a)))) (neg.f64 (*.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))) (*.f64 #s(literal 2 binary64) a) (*.f64 (*.f64 #s(literal 2 binary64) a) (neg.f64 b)))) (neg.f64 (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (/.f64 (fma.f64 (*.f64 b #s(literal 2 binary64)) a (*.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (*.f64 a #s(literal -2 binary64))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -2 binary64) (*.f64 (*.f64 (/.f64 b a) #s(literal 2 binary64)) a)) #s(literal -2 binary64)) (*.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)))) a) #s(literal 2 binary64)) |
(/.f64 (/.f64 (-.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (*.f64 b b)) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64))) (/.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 (/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)))) (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 (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))) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64))) (/.f64 (-.f64 (*.f64 b b) (*.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))))) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64)))))) |
(/.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))) (pow.f64 (*.f64 #s(literal 2 binary64) a) #s(literal 3 binary64)))) (neg.f64 (+.f64 (/.f64 (+.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))))) (pow.f64 (*.f64 a #s(literal -2 binary64)) #s(literal 2 binary64))) (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 b #s(literal 2 binary64)) a (*.f64 (*.f64 a #s(literal -2 binary64)) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))))) (neg.f64 (*.f64 (*.f64 #s(literal -4 binary64) a) a))) |
(/.f64 (neg.f64 (fma.f64 (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b))) #s(literal -2 binary64) (*.f64 (*.f64 (/.f64 b a) #s(literal 2 binary64)) a))) (neg.f64 (*.f64 #s(literal -4 binary64) a))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (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 (neg.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)))) (neg.f64 (*.f64 (fma.f64 b b (+.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 #s(literal 2 binary64) a)))) |
(/.f64 (neg.f64 (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) #s(literal 2 binary64))) (neg.f64 a)) |
(/.f64 (neg.f64 (neg.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)) |
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(*.f64 (sqrt.f64 (neg.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) (sqrt.f64 (neg.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) |
(*.f64 (pow.f64 (neg.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) #s(literal 1 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) #s(literal 1 binary64))) |
(*.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) |
(*.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) |
(pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) #s(literal 2 binary64)) |
(pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) #s(literal 1 binary64)) |
#s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) |
(sqrt.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) #s(literal 2 binary64))) |
(fabs.f64 (neg.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) |
(fabs.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) |
(*.f64 (neg.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) #s(literal 1/4 binary64))) (neg.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) #s(literal 1/4 binary64)))) |
(*.f64 (fabs.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) #s(literal 1/4 binary64))) (fabs.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) #s(literal 1/4 binary64)))) |
(*.f64 (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) (sqrt.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) (sqrt.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) |
(*.f64 (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) #s(literal 1/2 binary64)) (pow.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) #s(literal 1/2 binary64))) |
(*.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) #s(literal 1/4 binary64)) (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) #s(literal 1 binary64)) |
(pow.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)) #s(literal 1/2 binary64)) |
(sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) |
(fabs.f64 (neg.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) |
(fabs.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) |
(exp.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) |
(+.f64 (cosh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) (sinh.f64 (log.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))))) |
Compiled 39 461 to 3 733 computations (90.5% saved)
28 alts after pruning (19 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 885 | 9 | 894 |
| Fresh | 1 | 10 | 11 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 888 | 28 | 916 |
| Status | Accuracy | Program |
|---|---|---|
| 22.1% | (/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (*.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))) | |
| 33.5% | (/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 4 a) c))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) (*.f64 #s(literal 2 binary64) a)) | |
| 28.4% | (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) | |
| 3.9% | (/.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) b)) (-.f64 #s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) b)) (/.f64 (/.f64 b a) #s(literal -2 binary64))) (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 2 binary64)))) | |
| ✓ | 53.5% | (/.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)) |
| ✓ | 47.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal 2 binary64) a)) |
| ✓ | 32.9% | (/.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)) |
| 38.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) (*.f64 #s(literal 2 binary64) a)) | |
| 32.7% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -4 binary64))) b))))) (*.f64 #s(literal 2 binary64) a)) | |
| 28.2% | (/.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)) | |
| 5.4% | (+.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 (fma.f64 (/.f64 c (+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) b))) | |
| 3.9% | (+.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 c (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64))) (-.f64 (/.f64 (/.f64 (neg.f64 c) b) b) (/.f64 #s(literal 1/2 binary64) a))) b))) | |
| 16.5% | (+.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 #s(approx (+ (* (/ c (* b b)) -1) (/ 1/2 a)) (/.f64 (neg.f64 c) (*.f64 b b))) b))) | |
| ✓ | 52.3% | (+.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) |
| 32.6% | (+.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 #s(approx (sqrt (+ (* -4 (* a c)) (* b b))) (neg.f64 b)) (*.f64 #s(literal 2 binary64) a))) | |
| 27.1% | (*.f64 (/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) a) (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (neg.f64 b)) #s(literal 2 binary64))) | |
| 33.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)) | |
| 36.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) | |
| ✓ | 32.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| 35.5% | #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)) | |
| ✓ | 31.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (/.f64 (*.f64 a c) b) b) a))) |
| 12.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (*.f64 c b) (*.f64 b (/.f64 (*.f64 b b) a))) (*.f64 b b)))) | |
| ✓ | 22.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))) |
| 23.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b))) | |
| ✓ | 11.9% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b))) |
| 32.6% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) | |
| 30.6% | #s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a)) | |
| ✓ | 12.1% | #s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) #s(literal 0 binary64)) |
Compiled 2 632 to 958 computations (63.6% saved)
| Inputs |
|---|
#s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) #s(literal 0 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b))) |
#s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (/.f64 (*.f64 a c) 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)) |
#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 b (*.f64 #s(literal -2 binary64) a)) (/.f64 #s(approx (sqrt (+ (* -4 (* a c)) (* b b))) (neg.f64 b)) (*.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 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (*.f64 c b) (*.f64 b (/.f64 (*.f64 b b) a))) (*.f64 b b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) 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 a) #s(literal -2 binary64)) #s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 #s(approx (+ (* (/ c (* b b)) -1) (/ 1/2 a)) (/.f64 (neg.f64 c) (*.f64 b b))) b))) |
(/.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 #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 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -4 binary64))) b))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (/.f64 #s(approx (- (* b b) (- (* b b) (* (* 4 a) c))) (*.f64 (*.f64 #s(literal 4 binary64) a) c)) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) b))) |
(/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (*.f64 (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a))) |
(+.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) |
(/.f64 (fma.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (*.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 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 c a) (*.f64 b b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (/.f64 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (-.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))))) (*.f64 #s(literal 2 binary64) 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 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 (*.f64 (fma.f64 (*.f64 a (/.f64 (/.f64 c b) b)) #s(literal -4 binary64) #s(literal 1 binary64)) b) b))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 (fma.f64 (/.f64 (*.f64 a (/.f64 c b)) b) #s(literal -4 binary64) #s(literal 1 binary64)) b) b)))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 #s(literal -4 binary64) (*.f64 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 (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (-.f64 (*.f64 b b) #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c)))) a) (/.f64 (+.f64 (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 #s(literal -4 binary64) a) c))) (neg.f64 b)) #s(literal 2 binary64))) |
#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)) |
(/.f64 (+.f64 (neg.f64 b) (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))) (*.f64 #s(literal 2 binary64) a)) |
(+.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 c (*.f64 b b)) #s(literal 2 binary64)) (pow.f64 (/.f64 #s(literal 1/2 binary64) a) #s(literal 2 binary64))) (-.f64 (/.f64 (/.f64 (neg.f64 c) b) b) (/.f64 #s(literal 1/2 binary64) a))) b))) |
(+.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 (fma.f64 (/.f64 c (+.f64 (cosh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))) (sinh.f64 (*.f64 (log.f64 b) #s(literal 2 binary64))))) #s(literal -1 binary64) (/.f64 #s(literal 1/2 binary64) a)) b))) |
(/.f64 (+.f64 (pow.f64 #s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) b)) #s(literal 3 binary64)) (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 3 binary64))) (fma.f64 #s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) b)) (-.f64 #s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 (fma.f64 #s(literal -1 binary64) (/.f64 c (*.f64 b b)) (/.f64 #s(literal 1/2 binary64) a)) b)) (/.f64 (/.f64 b a) #s(literal -2 binary64))) (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (/.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 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a b)) (*.f64 #s(literal 2 binary64) a)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) #s(literal 2 binary64)) (-.f64 (pow.f64 (/.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a b)) (*.f64 #s(literal 2 binary64) a)) #s(literal 2 binary64)) (*.f64 (/.f64 (/.f64 b a) #s(literal -2 binary64)) (/.f64 #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 (/.f64 c b) #s(literal -2 binary64)) a 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)) |
(+.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
4 calls:
| 22.0ms | c |
| 21.0ms | b |
| 11.0ms | a |
| 11.0ms | (/.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 |
|---|---|---|
| 77.2% | 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)) |
| 55.1% | 2 | a |
| 86.5% | 3 | b |
| 58.1% | 3 | c |
Compiled 20 to 23 computations (-15% saved)
| Inputs |
|---|
#s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) #s(literal 0 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b))) |
#s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (/.f64 (*.f64 a c) 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)) |
#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 b (*.f64 #s(literal -2 binary64) a)) (/.f64 #s(approx (sqrt (+ (* -4 (* a c)) (* b b))) (neg.f64 b)) (*.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 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (*.f64 c b) (*.f64 b (/.f64 (*.f64 b b) a))) (*.f64 b b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) 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 a) #s(literal -2 binary64)) #s(approx (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a)) (*.f64 #s(approx (+ (* (/ c (* b b)) -1) (/ 1/2 a)) (/.f64 (neg.f64 c) (*.f64 b b))) b))) |
(/.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 #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 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) #s(approx (* (+ (* -4 a) (/ (* b b) c)) c) (*.f64 #s(approx (* (+ (* (* a (/ (/ c b) b)) -4) 1) b) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -4 binary64))) b))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (fma.f64 #s(literal -4 binary64) a (/.f64 (*.f64 b b) c)) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) 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)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 7.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.5% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) #s(literal 0 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b))) |
#s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (/.f64 (*.f64 a c) 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)) |
#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 b (*.f64 #s(literal -2 binary64) a)) (/.f64 #s(approx (sqrt (+ (* -4 (* a c)) (* b b))) (neg.f64 b)) (*.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 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 4 a) c))) (fma.f64 (*.f64 #s(literal -2 binary64) a) (/.f64 c b) b))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (*.f64 c b) (*.f64 b (/.f64 (*.f64 b b) a))) (*.f64 b b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 c c) b) (/.f64 a b) c)) b)) |
| 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 (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
1 calls:
| 10.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.1% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) #s(literal 0 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 #s(approx (- c (/ (* b b) a)) (/.f64 (*.f64 (neg.f64 b) b) a)) b))) |
#s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) (/.f64 (fma.f64 (neg.f64 a) (/.f64 c b) #s(literal 0 binary64)) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 c (/.f64 (*.f64 b b) a)) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 (-.f64 (/.f64 (*.f64 a c) 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)) |
#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 b (*.f64 #s(literal -2 binary64) a)) (/.f64 #s(approx (sqrt (+ (* -4 (* a c)) (* b b))) (neg.f64 b)) (*.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)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.f64 b a)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
2 calls:
| 4.0ms | 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 |
|---|---|---|
| 53.1% | 4 | (/.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)) |
| 67.3% | 2 | b |
Compiled 18 to 17 computations (5.6% saved)
| Inputs |
|---|
#s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) #s(literal 0 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)) |
| 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)) |
1 calls:
| 2.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.1% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) #s(literal 0 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) |
#s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) #s(literal 0 binary64)) |
4 calls:
| 3.0ms | a |
| 2.0ms | c |
| 2.0ms | b |
| 2.0ms | (/.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 |
|---|---|---|
| 36.0% | 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)) |
| 32.6% | 1 | a |
| 32.6% | 1 | c |
| 42.1% | 2 | b |
Compiled 20 to 23 computations (-15% saved)
Total -0.6b remaining (-1.1%)
Threshold costs -0.6b (-1.1%)
| Inputs |
|---|
#s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) #s(literal 0 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (/.f64 c b))) |
| Outputs |
|---|
#s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) #s(literal 0 binary64)) |
4 calls:
| 1.0ms | c |
| 1.0ms | a |
| 1.0ms | b |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 4 binary64) a) c)))) (*.f64 #s(literal 2 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 12.1% | 1 | a |
| 12.1% | 1 | c |
| 12.1% | 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)) |
| 12.1% | 1 | b |
Compiled 20 to 23 computations (-15% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 2.469292435177761e-127 | 2.402795774126413e-124 |
| 22.0ms | -1.6521819281085479e+122 | -6.05905243033593e+118 |
| 19.0ms | 224× | 0 | valid |
| 4.0ms | 25× | 1 | valid |
| 4.0ms | 40× | 0 | invalid |
| 2.0ms | 7× | 2 | valid |
Compiled 676 to 564 computations (16.6% saved)
ival-mult: 8.0ms (40.3% of total)ival-div: 2.0ms (10.1% of total)ival-sub: 2.0ms (10.1% of total)ival-sqrt: 2.0ms (10.1% of total)ival-add: 2.0ms (10.1% of total)ival-neg: 2.0ms (10.1% of total)adjust: 1.0ms (5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.469292435177761e-127 | 2.402795774126413e-124 |
| 1.0ms | -1.6521819281085479e+122 | -6.05905243033593e+118 |
Compiled 628 to 532 computations (15.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.469292435177761e-127 | 2.402795774126413e-124 |
| 20.0ms | -4.246208904687956e-68 | -4.044335345553806e-72 |
| 11.0ms | 128× | 0 | valid |
| 3.0ms | 33× | 0 | invalid |
Compiled 804 to 644 computations (19.9% saved)
ival-mult: 4.0ms (43.4% of total)ival-div: 1.0ms (10.9% of total)ival-add: 1.0ms (10.9% of total)ival-sub: 1.0ms (10.9% of total)ival-sqrt: 1.0ms (10.9% of total)ival-neg: 1.0ms (10.9% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 71.0ms | -7.319215608288462e-301 | 4.718467601090125e-300 |
| 56.0ms | 160× | 0 | valid |
| 7.0ms | 74× | 0 | invalid |
Compiled 630 to 460 computations (27% saved)
ival-mult: 48.0ms (86.6% of total)ival-div: 2.0ms (3.6% of total)ival-sqrt: 2.0ms (3.6% of total)ival-add: 1.0ms (1.8% of total)ival-sub: 1.0ms (1.8% of total)ival-neg: 1.0ms (1.8% 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 | -7.319215608288462e-301 | 4.718467601090125e-300 |
Compiled 460 to 380 computations (17.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -7.319215608288462e-301 | 4.718467601090125e-300 |
Compiled 460 to 390 computations (15.2% saved)
| 1× | egg-herbie |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 82 | 405 |
| 1 | 142 | 404 |
| 2 | 288 | 402 |
| 3 | 604 | 396 |
| 4 | 1087 | 396 |
| 5 | 3185 | 396 |
| 6 | 7635 | 396 |
| 1× | node limit |
| Inputs |
|---|
(if (<=.f64 b #s(literal -24000000000000001813581856327532339970872219931615145233092548652219661688647128798077822526804626624133178914471535443968 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 5716092316252427/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (+.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -24000000000000001813581856327532339970872219931615145233092548652219661688647128798077822526804626624133178914471535443968 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 5716092316252427/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -5828006676677187/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 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 5716092316252427/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.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 -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) #s(literal 0 binary64))) |
#s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) #s(literal 0 binary64)) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -24000000000000001813581856327532339970872219931615145233092548652219661688647128798077822526804626624133178914471535443968 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 5716092316252427/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (+.f64 (/.f64 b (*.f64 #s(literal -2 binary64) a)) (/.f64 (sqrt.f64 (fma.f64 #s(literal -4 binary64) (*.f64 a c) (*.f64 b b))) (*.f64 #s(literal 2 binary64) a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -24000000000000001813581856327532339970872219931615145233092548652219661688647128798077822526804626624133178914471535443968 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) (if (<=.f64 b #s(literal 5716092316252427/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (fma.f64 (*.f64 c a) #s(literal -4 binary64) (*.f64 b b)))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -5828006676677187/971334446112864535459730953411759453321203419526069760625906204869452142602604249088 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 5716092316252427/23817051317718446589520242536874132581700120107002038199303870846751188192899823151552628349788604516295066307994130118526061826166445047808 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 4 a) c)) (*.f64 (*.f64 c a) #s(literal -4 binary64))))) (*.f64 #s(literal 2 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 c) b)))) |
(if (<=.f64 b #s(literal -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) #s(approx (neg (+ (* (/ (neg c) (* b b)) b) (/ b a))) (-.f64 (/.f64 c b) (/.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 -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 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 -20240225330731/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 4 a) c)))) (* 2 a)) (/.f64 (neg.f64 b) a)) #s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) #s(literal 0 binary64))) |
#s(approx (+ (/ (/ b a) -2) (/ (sqrt (+ (* -4 (* a c)) (* b b))) (* 2 a))) #s(literal 0 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 583 | 3072 |
| 1 | 2071 | 3028 |
| 0 | 8455 | 2885 |
| 0 | 61 | 426 |
| 0 | 90 | 426 |
| 1 | 313 | 410 |
| 2 | 2493 | 410 |
| 0 | 9025 | 403 |
| 0 | 702 | 4343 |
| 1 | 2502 | 4248 |
| 0 | 8411 | 4064 |
| 0 | 45 | 297 |
| 0 | 74 | 296 |
| 1 | 262 | 288 |
| 2 | 2009 | 287 |
| 0 | 8582 | 287 |
| 0 | 545 | 2842 |
| 1 | 1916 | 2807 |
| 2 | 7910 | 2807 |
| 0 | 8090 | 2667 |
| 0 | 14 | 51 |
| 0 | 23 | 51 |
| 1 | 73 | 51 |
| 2 | 508 | 50 |
| 3 | 6176 | 49 |
| 0 | 8751 | 45 |
| 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× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 405 to 85 computations (79% saved)
Compiled 928 to 240 computations (74.1% saved)
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