
Time bar (total: 8.8s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 40% | 37.4% | 56.2% | 0.1% | 0% | 6.2% | 0% | 7 |
| 48.3% | 45.2% | 48.4% | 0.1% | 0% | 6.2% | 0% | 8 |
| 53% | 48.4% | 42.9% | 0.1% | 0% | 8.6% | 0% | 9 |
| 58.1% | 50.3% | 36.3% | 0.1% | 0% | 13.3% | 0% | 10 |
| 66.1% | 56.8% | 29.1% | 0.1% | 0% | 14% | 0% | 11 |
| 70.4% | 58.8% | 24.7% | 0.1% | 0% | 16.4% | 0% | 12 |
Compiled 19 to 14 computations (26.3% saved)
| 498.0ms | 5 592× | 0 | valid |
| 321.0ms | 1 130× | 2 | valid |
| 243.0ms | 1 363× | 1 | valid |
| 101.0ms | 956× | 0 | invalid |
| 42.0ms | 171× | 3 | valid |
ival-mult: 230.0ms (26.3% of total)ival-sub: 148.0ms (16.9% of total)ival-div: 123.0ms (14.1% of total)ival-sqrt: 114.0ms (13% of total)ival-neg: 93.0ms (10.6% of total)adjust: 84.0ms (9.6% of total)ival-add: 65.0ms (7.4% of total)ival-true: 8.0ms (0.9% of total)exact: 6.0ms (0.7% of total)ival-assert: 4.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 109 | 0 | - | 2 | (1.004421051359723e-146 -1.3709853883754392e-155 -6.45196499371641e-174) | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| 50 | 0 | - | 0 | - | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
| 15 | 0 | - | 1 | (1.9871013446029013e-273 4.942647200433951e+95 -9.332640221104024e+46) | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 7 | 0 | - | 0 | - | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | #s(literal 3 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 #s(literal 3 binary64) a) c) |
| 0 | 0 | - | 0 | - | (*.f64 b b) |
| 0 | 0 | - | 0 | - | c |
| 0 | 0 | - | 0 | - | (neg.f64 b) |
| 0 | 0 | - | 0 | - | b |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 3 binary64) a) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) | oflow-rescue | 100 | 0 |
| ↳ | (*.f64 b b) | overflow | 85 | |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | overflow | 31 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | overflow | 100 | |
+.f64 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | cancellation | 50 | 0 |
/.f64 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | u/n | 14 | 0 |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | underflow | 32 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | underflow | 7 | |
| ↳ | (*.f64 b b) | underflow | 42 | |
| ↳ | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | underflow | 24 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) | uflow-rescue | 7 | 0 |
| ↳ | (*.f64 b b) | underflow | 42 | |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | underflow | 32 | |
| ↳ | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | underflow | 7 | |
-.f64 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | nan-rescue | 7 | 0 |
| ↳ | (*.f64 b b) | overflow | 85 | |
| ↳ | (*.f64 (*.f64 #s(literal 3 binary64) a) c) | overflow | 31 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 128 | 1 |
| - | 15 | 112 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 128 | 0 | 1 |
| - | 15 | 0 | 112 |
| number | freq |
|---|---|
| 0 | 113 |
| 1 | 111 |
| 2 | 29 |
| 3 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 32.0ms | 364× | 0 | valid |
| 14.0ms | 64× | 2 | valid |
| 12.0ms | 74× | 1 | valid |
| 3.0ms | 10× | 3 | valid |
Compiled 219 to 52 computations (76.3% saved)
ival-mult: 11.0ms (28.4% of total)ival-sqrt: 6.0ms (15.5% of total)ival-sub: 5.0ms (12.9% of total)ival-div: 5.0ms (12.9% of total)ival-add: 5.0ms (12.9% of total)adjust: 4.0ms (10.3% of total)ival-neg: 2.0ms (5.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 49 | 158 |
| 1 | 152 | 144 |
| 2 | 433 | 144 |
| 3 | 1173 | 144 |
| 4 | 3171 | 144 |
| 5 | 6061 | 144 |
| 0 | 12 | 17 |
| 0 | 20 | 17 |
| 1 | 36 | 16 |
| 2 | 73 | 16 |
| 3 | 156 | 16 |
| 4 | 236 | 16 |
| 5 | 374 | 16 |
| 6 | 650 | 16 |
| 7 | 1103 | 16 |
| 8 | 2241 | 16 |
| 9 | 2510 | 16 |
| 10 | 2621 | 16 |
| 11 | 2676 | 16 |
| 12 | 2677 | 16 |
| 13 | 2677 | 16 |
| 0 | 2677 | 15 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
Compiled 17 to 12 computations (29.4% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.6% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
Compiled 17 to 12 computations (29.4% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 b) | |
| cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 128 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| cost-diff | 128 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 66 |
| 0 | 20 | 66 |
| 1 | 36 | 64 |
| 2 | 73 | 64 |
| 3 | 156 | 64 |
| 4 | 236 | 64 |
| 5 | 374 | 64 |
| 6 | 650 | 64 |
| 7 | 1103 | 64 |
| 8 | 2241 | 64 |
| 9 | 2510 | 64 |
| 10 | 2621 | 64 |
| 11 | 2676 | 64 |
| 12 | 2677 | 64 |
| 13 | 2677 | 64 |
| 0 | 2677 | 60 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
a |
c |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(neg.f64 b) |
b |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 b b) |
(*.f64 (*.f64 #s(literal 3 binary64) a) c) |
(*.f64 c (*.f64 a #s(literal 3 binary64))) |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
a |
c |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 1.4023437500000002 | (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) | |
| accuracy | 3.7514741164201504 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 11.580836973083898 | (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) | |
| accuracy | 25.189421584994154 | (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| 15.0ms | 182× | 0 | valid |
| 13.0ms | 32× | 2 | valid |
| 6.0ms | 37× | 1 | valid |
| 1.0ms | 5× | 3 | valid |
Compiled 134 to 26 computations (80.6% saved)
ival-sqrt: 9.0ms (36.9% of total)ival-mult: 5.0ms (20.5% of total)ival-div: 3.0ms (12.3% of total)ival-sub: 2.0ms (8.2% of total)adjust: 2.0ms (8.2% of total)ival-add: 2.0ms (8.2% of total)ival-neg: 1.0ms (4.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| Outputs |
|---|
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(- (pow b 2) (* 3 (* a c))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | c | @ | -inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 3.0ms | b | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 3.0ms | a | @ | -inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 3.0ms | a | @ | inf | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 2.0ms | b | @ | 0 | ((+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (- (* b b) (* (* 3 a) c)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 560 | 3039 |
| 1 | 1767 | 3016 |
| 2 | 6229 | 2973 |
| 0 | 8276 | 2825 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* -3 (* a c)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(- (pow b 2) (* 3 (* a c))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(* -1 b) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (- (/ (pow b 2) c) (* 3 a))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
| Outputs |
|---|
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 #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 405/64 binary64) b)) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -27/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(* -1/2 (/ c b)) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (*.f64 #s(literal -3/8 binary64) a) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (/.f64 #s(literal 405/64 binary64) b)) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (*.f64 c (/.f64 c (pow.f64 b #s(literal 3 binary64)))) (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -3/2 binary64))) a b) |
(* (sqrt (* a c)) (sqrt -3)) |
(*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a))) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)) a) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a))) a) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b #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))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) a)))) a) |
(* -3 (* a c)) |
(*.f64 #s(literal -3 binary64) (*.f64 c a)) |
(* a (- (/ (pow b 2) a) (* 3 c))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a)))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(fma.f64 #s(literal 1/72 binary64) (/.f64 (*.f64 (pow.f64 b #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))))) (sqrt.f64 #s(literal -3 binary64))) (fma.f64 #s(literal 1/6 binary64) (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b #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))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64))))) a) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 b #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))))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal -3 binary64)))))) a) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 (*.f64 c a)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 b)) a))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 (/.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))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) a) b) a))) |
(* -1 (* a (- (* -1 (/ (pow b 2) a)) (* -3 c)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) c (*.f64 b (/.f64 b a))) a) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal -1/3 binary64))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 b a)) #s(literal -1/3 binary64)) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 #s(literal 1/3 binary64) b)) (neg.f64 a))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(fma.f64 (*.f64 (*.f64 #s(literal -1/3 binary64) (sqrt.f64 (/.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal 1/3 binary64) b (/.f64 (fma.f64 #s(literal 1/72 binary64) (/.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))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 a c)))) (neg.f64 a))) (neg.f64 a))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 a) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.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 3 binary64))) (pow.f64 a #s(literal 5 binary64))))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (neg.f64 a) (fma.f64 (/.f64 (*.f64 (*.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 3 binary64))) (pow.f64 a #s(literal 5 binary64))))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (*.f64 (sqrt.f64 (/.f64 c a)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)) (neg.f64 b)) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) #s(literal -1 binary64)) b (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/24 binary64) (*.f64 (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/2 binary64))) b #s(literal -1 binary64)) b (*.f64 (sqrt.f64 #s(literal -3 binary64)) (sqrt.f64 (*.f64 c a)))) |
(- (pow b 2) (* 3 (* a c))) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 #s(literal -3 binary64))) (sqrt.f64 (/.f64 c a)) (*.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 b (sqrt.f64 #s(literal -3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (/.f64 #s(literal -1/3 binary64) a)) b)) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
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(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 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 -3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64))))) c) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal -3 binary64))) #s(literal 1/24 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 b (/.f64 b (sqrt.f64 #s(literal -3 binary64))))) #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal -3 binary64)))))) c) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 b)) c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (*.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))) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)))) c) b) c))) |
(* -1 (* c (- (* -1 (/ (pow b 2) c)) (* -3 a)))) |
(*.f64 (fma.f64 #s(literal -3 binary64) a (*.f64 b (/.f64 b c))) c) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b c) a)) #s(literal -1/3 binary64)) c) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) #s(literal 1/3 binary64)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (/.f64 (fma.f64 #s(literal -1/72 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (sqrt.f64 #s(literal -1 binary64))) (pow.f64 b #s(literal 4 binary64))) (sqrt.f64 #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))))) (neg.f64 c))) c) c (*.f64 (*.f64 c (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/3 binary64))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (/.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 5 binary64))) (pow.f64 a #s(literal 3 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 #s(literal 3 binary64))) #s(literal -1/24 binary64) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 c #s(literal 7 binary64))) (pow.f64 a #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 12 | 51 |
| 0 | 20 | 51 |
| 1 | 71 | 49 |
| 2 | 525 | 48 |
| 3 | 6836 | 48 |
| 0 | 8125 | 44 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(neg.f64 b) |
(sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (pow.f64 b #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) |
(*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))))))) |
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (*.f64 (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 b b (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 2 binary64))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3 binary64))) (pow.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal -1 binary64))) (fma.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 9/2 binary64)) (pow.f64 b #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (fma.f64 b b (*.f64 b (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))))) #s(literal -1 binary64))) (fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) (pow.f64 b #s(literal 6 binary64)))) |
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(/.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) |
(/.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (hypot.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (hypot.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(/.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -9 binary64) (pow.f64 (*.f64 c a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (pow.f64 (pow.f64 (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (/.f64 #s(literal 1 binary64) (hypot.f64 (*.f64 (*.f64 #s(literal -3 binary64) a) c) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (sqrt.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (pow.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal 3 binary64)) (*.f64 a (fma.f64 c (*.f64 a #s(literal 3 binary64)) (*.f64 b b))) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fabs.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(+.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 0 binary64)) |
Compiled 19 142 to 2 169 computations (88.7% saved)
20 alts after pruning (20 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 514 | 20 | 534 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 515 | 20 | 535 |
| Status | Accuracy | Program |
|---|---|---|
| 34.8% | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a)) | |
| ▶ | 51.6% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
| ▶ | 51.6% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
| 51.1% | (/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 25.1% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) | |
| 36.3% | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) | |
| 47.8% | (/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) | |
| 9.0% | (/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 26.8% | (/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)) | |
| ▶ | 51.6% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
| ▶ | 23.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
| 36.0% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 51.6% | (/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) | |
| 51.6% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 51.6% | (*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) | |
| 36.2% | (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) | |
| 27.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 31.3% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) | |
| ▶ | 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
Compiled 898 to 622 computations (30.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) | |
| cost-diff | 384 | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) | |
| cost-diff | 0 | (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) | |
| cost-diff | 0 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 0 | (/.f64 b a) | |
| cost-diff | 0 | (*.f64 #s(literal -2/3 binary64) (/.f64 b a)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) | |
| cost-diff | 0 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 294 |
| 0 | 55 | 294 |
| 1 | 98 | 288 |
| 2 | 183 | 288 |
| 3 | 307 | 288 |
| 4 | 460 | 288 |
| 5 | 706 | 288 |
| 6 | 1139 | 288 |
| 7 | 1597 | 288 |
| 8 | 2964 | 288 |
| 9 | 3741 | 288 |
| 10 | 4252 | 288 |
| 11 | 4451 | 288 |
| 12 | 4485 | 288 |
| 13 | 4514 | 288 |
| 14 | 4530 | 288 |
| 15 | 4596 | 288 |
| 16 | 4812 | 288 |
| 17 | 4860 | 288 |
| 18 | 4860 | 288 |
| 19 | 4860 | 288 |
| 20 | 5004 | 288 |
| 21 | 5480 | 288 |
| 22 | 5480 | 288 |
| 23 | 5480 | 288 |
| 0 | 5480 | 288 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
#s(literal -2/3 binary64) |
(/.f64 b a) |
b |
a |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -3/2 binary64)) |
(/.f64 a b) |
a |
b |
#s(literal -3/2 binary64) |
c |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
#s(literal 1/3 binary64) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
#s(literal 3 binary64) |
| Outputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(*.f64 a #s(literal 3 binary64)) |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
#s(literal -2/3 binary64) |
(/.f64 b a) |
b |
a |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c))) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c) |
(*.f64 (/.f64 a b) #s(literal -3/2 binary64)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 a b)) |
(/.f64 a b) |
a |
b |
#s(literal -3/2 binary64) |
c |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) |
(*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(*.f64 #s(literal -1/3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) |
#s(literal 1/3 binary64) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) a) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
#s(literal 3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.26953125 | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) | |
| accuracy | 3.6100755231492014 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) | |
| accuracy | 11.580836973083898 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 25.189421584994154 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| accuracy | 0.27734375 | (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| accuracy | 3.62647411642015 | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) | |
| accuracy | 11.580836973083898 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 25.189421584994154 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| accuracy | 0.203125 | (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) | |
| accuracy | 3.7514741164201504 | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 4.841408886918437 | (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) | |
| accuracy | 43.93639342591086 | #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) | |
| accuracy | 0 | (/.f64 b a) | |
| accuracy | 0.296875 | (*.f64 #s(literal -2/3 binary64) (/.f64 b a)) | |
| accuracy | 40.880421105907196 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) | |
| accuracy | 0.08203125 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| accuracy | 3.7514741164201504 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| accuracy | 11.580836973083898 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) | |
| accuracy | 25.189421584994154 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
| 72.0ms | 182× | 0 | valid |
| 18.0ms | 32× | 2 | valid |
| 16.0ms | 37× | 1 | valid |
| 14.0ms | 5× | 3 | valid |
Compiled 582 to 71 computations (87.8% saved)
ival-mult: 26.0ms (36.7% of total)ival-div: 15.0ms (21.2% of total)const: 11.0ms (15.5% of total)ival-sqrt: 6.0ms (8.5% of total)adjust: 4.0ms (5.7% of total)ival-add: 4.0ms (5.7% of total)ival-sub: 3.0ms (4.2% of total)ival-neg: 1.0ms (1.4% 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 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(/.f64 b a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -3/2 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -2/3 (/ b a)) |
(/ b a) |
(* -3/2 (/ a b)) |
(* -1/2 (/ (* a c) b)) |
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ b a)) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 17.0ms | c | @ | inf | ((/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (/ (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a)) |
| 5.0ms | a | @ | -inf | ((/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (/ (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a)) |
| 4.0ms | a | @ | inf | ((/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (/ (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a)) |
| 3.0ms | b | @ | inf | ((/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (/ (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a)) |
| 3.0ms | b | @ | -inf | ((/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* -2/3 (/ b a)) (/ b a) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* (* (/ a b) -3/2) c) (* (/ a b) -3/2) (/ (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 789 | 4933 |
| 1 | 2604 | 4886 |
| 0 | 8473 | 4653 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* -2/3 (/ b a)) |
(/ b a) |
(* -3/2 (/ a b)) |
(* -1/2 (/ (* a c) b)) |
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ b a)) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
| Outputs |
|---|
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64)))) b)) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b) |
(pow b 2) |
(*.f64 b b) |
(+ (* -3 (* a c)) (pow b 2)) |
(fma.f64 #s(literal -3 binary64) (*.f64 a c) (*.f64 b b)) |
(* -2/3 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal -2/3 binary64)) |
(/ b a) |
(/.f64 b a) |
(* -3/2 (/ a b)) |
(*.f64 (/.f64 a b) #s(literal -3/2 binary64)) |
(* -1/2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c) |
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a) |
(* -3/2 (/ c b)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
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(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) (*.f64 a c)))) c) |
(* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) (*.f64 a c))))) c) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b a) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))))) (neg.f64 c))) (neg.f64 c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (neg.f64 b)) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))))) (neg.f64 c)) b) (neg.f64 c)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 3 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) |
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 #s(literal -1/3 binary64) b)) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))))) (neg.f64 c))) (neg.f64 c)))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b a) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b) a)) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))))) (neg.f64 c)) (/.f64 b a)) (neg.f64 c)))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 188 |
| 0 | 55 | 188 |
| 1 | 195 | 182 |
| 2 | 1349 | 182 |
| 0 | 9651 | 182 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(/.f64 b a) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -3/2 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (*.f64 a #s(literal -3 binary64)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 a)) (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) #s(literal -3 binary64)) (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal -1 binary64)) a)) |
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64))) (neg.f64 a)) (/.f64 (pow.f64 (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64))) #s(literal -3 binary64)) (/.f64 (pow.f64 (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) #s(literal -1 binary64)) a)) |
(*.f64 (/.f64 (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (*.f64 #s(literal 3 binary64) a)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal -1 binary64)) (neg.f64 a))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal -1 binary64)) a)) |
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (/.f64 (pow.f64 (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) #s(literal -1 binary64)) (neg.f64 a))) |
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64))) #s(literal 3 binary64)) (/.f64 (pow.f64 (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) #s(literal -1 binary64)) a)) |
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64))) a) (/.f64 (pow.f64 (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) #s(literal -1 binary64)) #s(literal -3 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64))) a) (/.f64 (pow.f64 (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 (/.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) #s(literal -1 binary64)) (/.f64 (pow.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal -1 binary64)) (*.f64 #s(literal 3 binary64) a))) |
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(*.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal -1 binary64)) (/.f64 #s(literal -1/3 binary64) a)) |
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(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a (*.f64 a b)) (*.f64 a (neg.f64 a))) |
(/.f64 (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a (*.f64 a b)) (*.f64 a a)) |
(/.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) a))) |
(/.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b)))) |
(/.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (*.f64 a (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b))) |
(/.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) a)) |
(/.f64 #s(literal -1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b))) |
(/.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (/.f64 (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64))) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) a) (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a) #s(literal 2 binary64)) (pow.f64 (/.f64 b a) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a) (/.f64 b a)))) (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a) #s(literal 3 binary64)) (pow.f64 (/.f64 b a) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) a) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (/.f64 a b)) (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (/.f64 a b) (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (neg.f64 a)) (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 a) (*.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a a) (fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a (*.f64 a b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b)) (fma.f64 b b (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64))) (neg.f64 (*.f64 (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64))) (neg.f64 (*.f64 a (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64))) (*.f64 a (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 3 binary64)) (pow.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64))) (*.f64 (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (neg.f64 a)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) a) |
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) a)) |
(fma.f64 (pow.f64 (/.f64 a b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a b) #s(literal -1/2 binary64)) (*.f64 (pow.f64 a #s(literal -1 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(fma.f64 (pow.f64 (/.f64 a b) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a b) #s(literal -1/2 binary64)) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a)) |
(fma.f64 (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a) (*.f64 (pow.f64 a #s(literal -1 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(fma.f64 (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a)) |
(fma.f64 (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal -1 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(fma.f64 (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 a #s(literal -1 binary64)) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a)) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal -1 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a)) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) b (*.f64 (pow.f64 a #s(literal -1 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(fma.f64 (/.f64 #s(literal -1 binary64) a) b (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a)) |
(fma.f64 (/.f64 b a) #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal -1 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(fma.f64 (/.f64 b a) #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a)) |
(fma.f64 #s(literal -1 binary64) (/.f64 b a) (*.f64 (pow.f64 a #s(literal -1 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(fma.f64 #s(literal -1 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a) (/.f64 b a)) |
(fma.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal -1 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(fma.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (pow.f64 b #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a)) |
(fma.f64 (pow.f64 a #s(literal -1 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (/.f64 b a)) |
(fma.f64 (pow.f64 a #s(literal -1 binary64)) b (*.f64 (pow.f64 a #s(literal -1 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(fma.f64 (pow.f64 a #s(literal -1 binary64)) b (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a)) |
(fma.f64 #s(literal 1 binary64) (/.f64 b a) (*.f64 (pow.f64 a #s(literal -1 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a) (/.f64 b a)) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a) #s(literal -1 binary64) (*.f64 (/.f64 b a) #s(literal -1 binary64))) |
(fma.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a) #s(literal 1 binary64) (/.f64 b a)) |
(fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (/.f64 #s(literal -1 binary64) a) (/.f64 b a)) |
(fma.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (pow.f64 a #s(literal -1 binary64)) (/.f64 b a)) |
(fma.f64 b (/.f64 #s(literal -1 binary64) a) (*.f64 (pow.f64 a #s(literal -1 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(fma.f64 b (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a)) |
(fma.f64 b (pow.f64 a #s(literal -1 binary64)) (*.f64 (pow.f64 a #s(literal -1 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(fma.f64 b (pow.f64 a #s(literal -1 binary64)) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a)) |
(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) a)) (/.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) a))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a) (/.f64 b a))))) (/.f64 (pow.f64 (/.f64 b a) #s(literal 3 binary64)) (+.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a) (/.f64 b a)))))) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (/.f64 a b)) (*.f64 a (/.f64 a b))) (/.f64 a (*.f64 a (/.f64 a b)))) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) (neg.f64 a)) (*.f64 a (neg.f64 a))) (/.f64 (*.f64 a b) (*.f64 a (neg.f64 a)))) |
(-.f64 (/.f64 (*.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a) (*.f64 a a)) (/.f64 (*.f64 a b) (*.f64 a a))) |
(-.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) (*.f64 a (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b))) (/.f64 (*.f64 b b) (*.f64 a (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b)))) |
(-.f64 (/.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (*.f64 a (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) (/.f64 (pow.f64 b #s(literal 3 binary64)) (*.f64 a (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b)) a) (/.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b)) a)) |
(-.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b)) a) (/.f64 (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b)) a)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) a) (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) a)) |
(-.f64 (/.f64 (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b)) (neg.f64 a)) (/.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b)) (neg.f64 a))) |
(-.f64 (/.f64 (/.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b)) (neg.f64 a)) (/.f64 (/.f64 (*.f64 b b) (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b)) (neg.f64 a))) |
(-.f64 (/.f64 (/.f64 (pow.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) #s(literal 3/2 binary64)) (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (neg.f64 a)) (/.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (neg.f64 a))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) a)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a) (/.f64 b a)) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a) #s(literal 1 binary64)) (/.f64 b a)) |
(+.f64 (*.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a) #s(literal -1 binary64)) (*.f64 (/.f64 b a) #s(literal -1 binary64))) |
(+.f64 (*.f64 (pow.f64 a #s(literal -1 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (/.f64 b a)) |
(+.f64 (*.f64 #s(literal -1 binary64) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a)) (/.f64 b a)) |
(+.f64 (/.f64 b a) (*.f64 (pow.f64 a #s(literal -1 binary64)) (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) |
(+.f64 (/.f64 b a) (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a)) |
(+.f64 #s(literal 0 binary64) (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) a)) |
(+.f64 (/.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) a) (/.f64 b a)) |
Compiled 53 648 to 4 643 computations (91.3% saved)
40 alts after pruning (36 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 545 | 33 | 1 578 |
| Fresh | 12 | 3 | 15 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 558 | 40 | 1 598 |
| Status | Accuracy | Program |
|---|---|---|
| 34.8% | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 34.9% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) b) a) #s(literal 3 binary64)) | |
| ▶ | 51.7% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 3 binary64)) a) |
| ▶ | 36.4% | (/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 3 binary64)) |
| 36.0% | (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) a) #s(literal 3 binary64)) | |
| 51.6% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b))) #s(literal 3 binary64)) | |
| ✓ | 51.6% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
| 25.1% | (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 36.3% | (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64))) | |
| 47.8% | (/.f64 (-.f64 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) b) (*.f64 a #s(literal 3 binary64))) | |
| 36.0% | (/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) (*.f64 a #s(literal 3 binary64))) | |
| 8.2% | (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 a b)) c)) #s(literal 1/3 binary64)) a) | |
| ✓ | 51.6% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
| 36.4% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) a) | |
| ▶ | 23.3% | (/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) a) |
| 35.0% | (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) a)))) #s(literal 3 binary64)) | |
| 36.0% | (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))) (*.f64 a #s(literal 3 binary64))) | |
| 23.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) c)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 23.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 b a)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 23.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
| 8.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) a) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 23.3% | (/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) | |
| 36.0% | (/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a) | |
| 51.6% | (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) | |
| 26.3% | #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 31.3% | #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| 35.0% | #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 2.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal 2/3 binary64) b) a)) | |
| 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) | |
| 2.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 2/3 binary64) b)))) | |
| ▶ | 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
| 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal 2/3 binary64) b) (/.f64 #s(literal -1 binary64) a))) | |
| 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal -2/3 binary64) a))) | |
| ▶ | 2.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (/.f64 b a))) |
| 24.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))) | |
| 1.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 b a))))))) | |
| ✓ | 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| 2.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))) | |
| 16.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))) |
Compiled 1 836 to 1 325 computations (27.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) | |
| cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) | |
| cost-diff | 384 | (/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 3 binary64)) | |
| cost-diff | 0 | (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) | |
| cost-diff | 0 | #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) a) | |
| cost-diff | 0 | (/.f64 a b) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) | |
| cost-diff | 384 | (/.f64 #s(literal -2/3 binary64) (/.f64 a b)) | |
| cost-diff | 0 | (/.f64 b a) | |
| cost-diff | 0 | (*.f64 #s(literal 2/3 binary64) (/.f64 b a)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (/.f64 b a))) | |
| cost-diff | 0 | (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 3 binary64)) a) | |
| cost-diff | 384 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 3 binary64)) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 325 |
| 0 | 69 | 317 |
| 1 | 120 | 313 |
| 2 | 202 | 313 |
| 3 | 329 | 313 |
| 4 | 455 | 313 |
| 5 | 654 | 313 |
| 6 | 982 | 313 |
| 7 | 1584 | 313 |
| 8 | 3211 | 313 |
| 9 | 4040 | 313 |
| 10 | 4958 | 313 |
| 11 | 5376 | 313 |
| 12 | 5525 | 313 |
| 13 | 5570 | 313 |
| 14 | 5583 | 313 |
| 15 | 5616 | 313 |
| 16 | 5654 | 313 |
| 17 | 5670 | 313 |
| 18 | 5670 | 313 |
| 19 | 5823 | 313 |
| 20 | 6388 | 313 |
| 21 | 6554 | 313 |
| 22 | 6635 | 313 |
| 23 | 6683 | 313 |
| 24 | 6835 | 313 |
| 25 | 6989 | 313 |
| 26 | 7057 | 313 |
| 27 | 7103 | 313 |
| 28 | 7103 | 313 |
| 29 | 7134 | 313 |
| 30 | 7146 | 313 |
| 31 | 7171 | 313 |
| 32 | 7182 | 313 |
| 33 | 7182 | 313 |
| 0 | 7182 | 313 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 3 binary64)) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
a |
(*.f64 c #s(literal -3 binary64)) |
c |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (/.f64 b a))) |
(*.f64 #s(literal 2/3 binary64) (/.f64 b a)) |
#s(literal 2/3 binary64) |
(/.f64 b a) |
b |
a |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
(/.f64 #s(literal -2/3 binary64) (/.f64 a b)) |
#s(literal -2/3 binary64) |
(/.f64 a b) |
a |
b |
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) a) |
(*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) |
#s(literal 1/3 binary64) |
#s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(*.f64 (/.f64 a b) #s(literal -3/2 binary64)) |
(/.f64 a b) |
a |
b |
#s(literal -3/2 binary64) |
c |
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 3 binary64)) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) |
(-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) |
(sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) |
#s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
#s(literal -3 binary64) |
(*.f64 a c) |
a |
c |
b |
#s(literal 3 binary64) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 3 binary64)) a) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))))) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
a |
(*.f64 c #s(literal -3 binary64)) |
(*.f64 #s(literal -3 binary64) c) |
c |
#s(literal -3 binary64) |
(*.f64 b b) |
b |
#s(literal 3 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b a) #s(literal 2/3 binary64))) |
(*.f64 #s(literal 2/3 binary64) (/.f64 b a)) |
(*.f64 (/.f64 b a) #s(literal 2/3 binary64)) |
#s(literal 2/3 binary64) |
(/.f64 b a) |
b |
a |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
(/.f64 #s(literal -2/3 binary64) (/.f64 a b)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
#s(literal -2/3 binary64) |
(/.f64 a b) |
a |
b |
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) a) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c))) |
(*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) |
(*.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c)) #s(literal 1/3 binary64)) |
#s(literal 1/3 binary64) |
#s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) |
#s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(*.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b)) c) |
(*.f64 (/.f64 a b) #s(literal -3/2 binary64)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 a b)) |
(/.f64 a b) |
a |
b |
#s(literal -3/2 binary64) |
c |
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 3 binary64)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b)) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) |
(-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) |
(-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) |
(sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) |
(sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
#s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
#s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(*.f64 #s(literal -3 binary64) (*.f64 a c)) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
#s(literal -3 binary64) |
(*.f64 a c) |
(*.f64 c a) |
a |
c |
b |
#s(literal 3 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.6100755231492014 | (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) | |
| accuracy | 11.580836973083898 | (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) | |
| accuracy | 25.189421584994154 | (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) | |
| accuracy | 37.69406578076099 | #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c))) | |
| accuracy | 0.27734375 | (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) | |
| accuracy | 3.62647411642015 | (/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) a) | |
| accuracy | 4.841408886918437 | (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) | |
| accuracy | 43.93639342591086 | #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) | |
| accuracy | 0 | (/.f64 a b) | |
| accuracy | 0.4132667453731046 | (/.f64 #s(literal -2/3 binary64) (/.f64 a b)) | |
| accuracy | 40.880421105907196 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) | |
| accuracy | 0 | (/.f64 b a) | |
| accuracy | 0.296875 | (*.f64 #s(literal 2/3 binary64) (/.f64 b a)) | |
| accuracy | 62.192848358549064 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (/.f64 b a))) | |
| accuracy | 0.1640625 | (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 3 binary64)) | |
| accuracy | 3.62647411642015 | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 3 binary64)) a) | |
| accuracy | 11.580836973083898 | (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) | |
| accuracy | 25.189421584994154 | (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) |
| 81.0ms | 32× | 2 | valid |
| 55.0ms | 182× | 0 | valid |
| 19.0ms | 37× | 1 | valid |
| 4.0ms | 5× | 3 | valid |
Compiled 591 to 92 computations (84.4% saved)
ival-sub: 48.0ms (41.1% of total)ival-mult: 20.0ms (17.1% of total)ival-div: 18.0ms (15.4% of total)const: 10.0ms (8.6% of total)ival-sqrt: 8.0ms (6.9% of total)adjust: 5.0ms (4.3% of total)ival-add: 5.0ms (4.3% of total)ival-neg: 1.0ms (0.9% 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 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 3 binary64)) a) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (/.f64 b a))) |
(*.f64 #s(literal 2/3 binary64) (/.f64 b a)) |
(/.f64 b a) |
(/.f64 #s(literal -2/3 binary64) (/.f64 a b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
(/.f64 a b) |
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) a) |
(*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) |
#s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 3 binary64)) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) |
(-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) |
(sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) |
#s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
| Outputs |
|---|
(* -1/2 (/ (* a c) b)) |
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* 2/3 (/ b a)) |
(/ b a) |
(* -2/3 (/ b a)) |
(/ a b) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ b a)) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))) |
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))) |
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | a | @ | -inf | ((/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (- (sqrt (+ (* a (* c -3)) (* b b))) b) (sqrt (+ (* a (* c -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* 2/3 (/ b a)) (/ b a) (/ -2/3 (/ a b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ a b) (/ (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* (* (/ a b) -3/2) c) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b))) |
| 2.0ms | b | @ | -inf | ((/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (- (sqrt (+ (* a (* c -3)) (* b b))) b) (sqrt (+ (* a (* c -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* 2/3 (/ b a)) (/ b a) (/ -2/3 (/ a b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ a b) (/ (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* (* (/ a b) -3/2) c) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b))) |
| 2.0ms | b | @ | inf | ((/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (- (sqrt (+ (* a (* c -3)) (* b b))) b) (sqrt (+ (* a (* c -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* 2/3 (/ b a)) (/ b a) (/ -2/3 (/ a b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ a b) (/ (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* (* (/ a b) -3/2) c) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b))) |
| 2.0ms | a | @ | inf | ((/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (- (sqrt (+ (* a (* c -3)) (* b b))) b) (sqrt (+ (* a (* c -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* 2/3 (/ b a)) (/ b a) (/ -2/3 (/ a b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ a b) (/ (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* (* (/ a b) -3/2) c) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b))) |
| 2.0ms | a | @ | 0 | ((/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (- (sqrt (+ (* a (* c -3)) (* b b))) b) (sqrt (+ (* a (* c -3)) (* b b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* 2/3 (/ b a)) (/ b a) (/ -2/3 (/ a b)) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/ a b) (/ (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) a) (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* (* (/ a b) -3/2) c) (/ (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) 3) (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (* -3 c) a) (* b b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 790 | 4936 |
| 1 | 2607 | 4889 |
| 0 | 8481 | 4656 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (/ (* a c) b)) |
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* 2/3 (/ b a)) |
(/ b a) |
(* -2/3 (/ b a)) |
(/ a b) |
(* -3/2 (/ c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* (sqrt (/ c a)) (sqrt -3)) |
(+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1 (/ b a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1 (/ b a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ b a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1 (/ (+ b (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a))) a))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -3))) |
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(/ (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (* -9/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -3/2 c) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -2 (/ b a)) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (* 2 (/ 1 a))))) |
(* -1 (* b (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b (+ (* -27/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ c (pow b 2))) (+ (* -9/8 (/ (* a (pow c 2)) (pow b 4))) (* 2 (/ 1 a))))))) |
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(* c (- (* -9/8 (/ (* a c) (pow b 3))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -27/16 (/ (* (pow a 2) c) (pow b 5))) (* -9/8 (/ a (pow b 3))))) (* 3/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/8 (/ a (pow b 3))) (* c (+ (* -27/16 (/ (pow a 2) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 3/2 (/ 1 b)))) |
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
| Outputs |
|---|
(* -1/2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c) |
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (*.f64 a #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -9/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) (*.f64 #s(literal 405/64 binary64) a)) b) #s(literal -1/6 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) #s(literal -9/16 binary64)) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 (*.f64 c c) #s(literal -3/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(* -3/2 (/ (* a c) b)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -1/2 binary64) a) (/.f64 (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 405/64 binary64)) (pow.f64 b #s(literal 6 binary64)))) b)) a (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 (*.f64 #s(literal -3/2 binary64) a) (/.f64 c b) b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a #s(literal -27/16 binary64)) (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 (*.f64 c c) #s(literal -9/8 binary64)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b) |
(* 2/3 (/ b a)) |
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b) |
(/ b a) |
(/.f64 b a) |
(* -2/3 (/ b a)) |
(*.f64 #s(literal -2/3 binary64) (/.f64 b a)) |
(/ a b) |
(/.f64 a b) |
(* -3/2 (/ c b)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 c b)) |
(+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (*.f64 a #s(literal -9/8 binary64)) (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) |
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(* c (+ (* -1 (/ b (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))) |
(*.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) (*.f64 c a))) c) |
(* c (+ (* -1 (/ b (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(*.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) (*.f64 c a)))) c) |
(* c (+ (* -1 (/ b (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (sqrt.f64 #s(literal -3 binary64)) #s(literal -3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 3 binary64)))) (/.f64 (*.f64 b b) (sqrt.f64 #s(literal -3 binary64)))) #s(literal 1/2 binary64) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal -3 binary64)) (/.f64 (neg.f64 b) (*.f64 c a))))) c) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(*.f64 (fma.f64 #s(literal -3 binary64) a (/.f64 (*.f64 b b) c)) c) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) |
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 #s(literal -1/3 binary64) b)) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 a c))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) b (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)) (*.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))))) (neg.f64 c))) (neg.f64 c)))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(*.f64 (*.f64 (neg.f64 c) #s(literal 1/3 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b a) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 #s(literal -1/3 binary64) (/.f64 b a))) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a)))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 #s(literal -1/3 binary64) (/.f64 b a) (/.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))) (*.f64 (*.f64 #s(literal -1/24 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))))) (neg.f64 c))) (neg.f64 c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 b c))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (fma.f64 (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (neg.f64 b)) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c a)))) (neg.f64 c)) b) (neg.f64 c)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/16 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 5 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 5 binary64))) (pow.f64 c #s(literal 7 binary64)))) (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal 3 binary64))) (pow.f64 c #s(literal 5 binary64)))) (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a))) (*.f64 (*.f64 (sqrt.f64 (/.f64 a c)) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))) (/ b (* a c))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (/.f64 b a) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (-.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 (*.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c))) (*.f64 b b)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 #s(literal 3 binary64)))) #s(literal -1/2 binary64) (/.f64 (neg.f64 b) a)) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 c a))) (sqrt.f64 #s(literal 3 binary64))) (sqrt.f64 #s(literal -1 binary64)) (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c))) (*.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) b) b) (sqrt.f64 #s(literal 3 binary64)))) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64)))))) (neg.f64 c)) (/.f64 b a)) (neg.f64 c)))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 3 binary64) a (/.f64 (*.f64 (neg.f64 b) b) c))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 274 |
| 0 | 69 | 266 |
| 1 | 257 | 262 |
| 2 | 1616 | 262 |
| 0 | 8500 | 262 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 3 binary64)) a) |
(-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (/.f64 b a))) |
(*.f64 #s(literal 2/3 binary64) (/.f64 b a)) |
(/.f64 b a) |
(/.f64 #s(literal -2/3 binary64) (/.f64 a b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
(/.f64 a b) |
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) a) |
(*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) |
#s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) |
(*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 3 binary64)) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) |
(-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) |
(sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) |
#s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c))) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal 3 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) |
(*.f64 (/.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) |
(*.f64 (/.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (+.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))) |
(*.f64 (/.f64 (+.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) #s(literal 3 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))))) |
(*.f64 (/.f64 (+.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) #s(literal 3 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (+.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) (*.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal -1 binary64))) |
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(*.f64 (*.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64))) #s(literal 1/3 binary64)) (pow.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) #s(literal -1 binary64))) |
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(+.f64 (/.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b)) (neg.f64 (/.f64 (*.f64 b b) (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b)))) |
(+.f64 (/.f64 (pow.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3/2 binary64)) (fma.f64 b (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (neg.f64 (/.f64 (pow.f64 b #s(literal 3 binary64)) (fma.f64 b (+.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))))) |
(+.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (neg.f64 b)) |
(+.f64 (neg.f64 b) (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
(*.f64 (sqrt.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (sqrt.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) |
(*.f64 (pow.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/4 binary64))) |
(pow.f64 (pow.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/4 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1/4 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 1 binary64)) |
(pow.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (-.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 0 binary64)) (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 0 binary64))) |
(/.f64 (+.f64 (pow.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 3/2 binary64)) #s(literal 0 binary64)) (+.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 0 binary64))))) |
(fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) (sqrt.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/4 binary64)) (pow.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1/4 binary64)) #s(literal 0 binary64)) |
(sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
(fabs.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
(exp.f64 (log.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))))) |
(+.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 0 binary64)) |
(*.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
(pow.f64 (pow.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 2 binary64)) |
(pow.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 1 binary64)) |
#s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(sqrt.f64 (pow.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 2 binary64))) |
(fabs.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))))) |
Compiled 36 479 to 3 782 computations (89.6% saved)
49 alts after pruning (40 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 927 | 23 | 950 |
| Fresh | 14 | 17 | 31 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 941 | 49 | 990 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 34.8% | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a)) |
| 34.9% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) b) a) #s(literal 3 binary64)) | |
| ✓ | 51.7% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 3 binary64)) a) |
| ✓ | 36.4% | (/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 3 binary64)) |
| ▶ | 36.1% | (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
| 36.4% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b))) #s(literal 3 binary64)) | |
| ✓ | 51.6% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
| 36.3% | (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 25.1% | (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 47.8% | (/.f64 (-.f64 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) b) (*.f64 a #s(literal 3 binary64))) | |
| ▶ | 36.4% | (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) |
| 8.2% | (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 a b)) c)) #s(literal 1/3 binary64)) a) | |
| ✓ | 51.6% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
| ✓ | 23.3% | (/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) a) |
| 11.5% | (/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal -1 binary64))) #s(literal -3/2 binary64)) c))) a) | |
| ▶ | 48.5% | (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) #s(literal -1 binary64))) a) |
| 35.0% | (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) a)))) #s(literal 3 binary64)) | |
| 23.3% | (/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) | |
| 36.0% | (/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 #s(literal -2/3 binary64) b)) a) | |
| 36.0% | (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))) (*.f64 a #s(literal 3 binary64))) | |
| 23.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) c)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| 23.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 b a)) c)) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 23.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
| 8.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) a) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 36.3% | (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64)) | |
| 36.3% | (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) | |
| 26.3% | #s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 31.3% | #s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| 35.0% | #s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 2.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal 2/3 binary64) b) a)) | |
| 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 #s(literal -3/2 binary64) a))) | |
| 2.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal 2/3 binary64)))) | |
| 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 a b)))) | |
| ✓ | 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
| 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a)))) | |
| 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -3/2 binary64) b) #s(literal -1 binary64)))) | |
| 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) | |
| 2.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 (neg.f64 b) #s(literal 2/3 binary64)) (/.f64 #s(literal -1 binary64) a))) | |
| 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal 2/3 binary64) b) (/.f64 #s(literal -1 binary64) a))) | |
| 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| ▶ | 2.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 2/3 binary64) a))) |
| ✓ | 2.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (/.f64 b a))) |
| 5.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))) | |
| 24.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))) | |
| 1.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 b a))))))) | |
| ✓ | 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| 2.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))) | |
| 16.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))) | |
| 18.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) #s(literal -1 binary64)))) |
Compiled 2 215 to 1 604 computations (27.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| cost-diff | 0 | (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) | |
| cost-diff | 0 | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a)) | |
| cost-diff | 3136 | (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b) | |
| cost-diff | 0 | (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) | |
| cost-diff | 0 | (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) | |
| cost-diff | 0 | (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) | |
| cost-diff | 0 | #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) | |
| cost-diff | 0 | (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) | |
| cost-diff | 0 | (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) | |
| cost-diff | 384 | (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) | |
| cost-diff | 0 | (/.f64 #s(literal 2/3 binary64) a) | |
| cost-diff | 0 | (*.f64 b (/.f64 #s(literal 2/3 binary64) a)) | |
| cost-diff | 0 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 2/3 binary64) a))) | |
| cost-diff | 0 | (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) | |
| cost-diff | 0 | (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) #s(literal -1 binary64))) a) | |
| cost-diff | 192 | (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) #s(literal -1 binary64)) | |
| cost-diff | 13312 | (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) #s(literal -1 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 410 |
| 0 | 88 | 380 |
| 1 | 142 | 377 |
| 2 | 213 | 373 |
| 3 | 363 | 373 |
| 4 | 563 | 373 |
| 5 | 935 | 373 |
| 6 | 1721 | 373 |
| 7 | 3288 | 373 |
| 8 | 5158 | 373 |
| 9 | 6286 | 373 |
| 10 | 6609 | 373 |
| 11 | 6685 | 373 |
| 12 | 6717 | 373 |
| 13 | 7313 | 373 |
| 14 | 7682 | 373 |
| 15 | 7819 | 373 |
| 16 | 7919 | 373 |
| 17 | 7919 | 373 |
| 18 | 7919 | 373 |
| 19 | 7939 | 373 |
| 20 | 7959 | 373 |
| 21 | 7967 | 373 |
| 22 | 7967 | 373 |
| 0 | 8007 | 373 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) #s(literal -1 binary64))) a) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) #s(literal -1 binary64)) |
(log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) |
(/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) |
#s(literal 3 binary64) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) a) |
#s(literal -3 binary64) |
a |
c |
(*.f64 b b) |
b |
#s(literal -1 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 2/3 binary64) a))) |
(*.f64 b (/.f64 #s(literal 2/3 binary64) a)) |
b |
(/.f64 #s(literal 2/3 binary64) a) |
#s(literal 2/3 binary64) |
a |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) |
(-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) |
#s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) |
(neg.f64 b) |
b |
#s(literal 3 binary64) |
a |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) |
(*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) |
(-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) |
(sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
#s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 c a) |
c |
a |
#s(literal -3 binary64) |
b |
#s(literal 1/3 binary64) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a)) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b) |
(sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(*.f64 #s(literal 3 binary64) a) |
#s(literal 3 binary64) |
| Outputs |
|---|
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) #s(literal -1 binary64))) a) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1/3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) |
(*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) #s(literal -1 binary64)) |
(neg.f64 (log.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))))) |
(log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) |
(log.f64 (/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) |
(/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b)) |
(/.f64 #s(literal -3 binary64) (-.f64 b (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) |
#s(literal 3 binary64) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) a) |
(*.f64 a #s(literal -3 binary64)) |
#s(literal -3 binary64) |
a |
c |
(*.f64 b b) |
b |
#s(literal -1 binary64) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal 2/3 binary64) a) b)) |
(*.f64 b (/.f64 #s(literal 2/3 binary64) a)) |
(*.f64 (/.f64 #s(literal 2/3 binary64) a) b) |
b |
(/.f64 #s(literal 2/3 binary64) a) |
#s(literal 2/3 binary64) |
a |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
(*.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) a) #s(literal 1/3 binary64)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) |
(*.f64 #s(literal 1/3 binary64) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b)) |
(-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) |
#s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) |
(neg.f64 b) |
b |
#s(literal 3 binary64) |
a |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) |
(*.f64 (/.f64 #s(literal -1/3 binary64) a) (-.f64 b (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))))) |
(*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) |
(*.f64 #s(literal -1/3 binary64) (-.f64 b (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))))) |
(-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) |
(-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) |
(sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
(sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) |
#s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
#s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) |
(*.f64 (*.f64 c a) #s(literal -3 binary64)) |
(*.f64 (*.f64 c #s(literal -3 binary64)) a) |
(*.f64 c a) |
c |
a |
#s(literal -3 binary64) |
b |
#s(literal 1/3 binary64) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b) |
(+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) |
(sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(*.f64 #s(literal -3 binary64) c) |
(*.f64 c #s(literal -3 binary64)) |
#s(literal -3 binary64) |
c |
a |
(*.f64 b b) |
b |
(*.f64 #s(literal 3 binary64) a) |
(*.f64 a #s(literal 3 binary64)) |
#s(literal 3 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.078125 | (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) | |
| accuracy | 2.5019000510366496 | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a)) | |
| accuracy | 20.967841538895787 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) | |
| accuracy | 21.040302348869023 | (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b) | |
| accuracy | 2.668481901720699 | (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) | |
| accuracy | 4.8209931207817 | (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) | |
| accuracy | 20.967841538895787 | (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) | |
| accuracy | 28.567745909325566 | #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) | |
| accuracy | 0.125 | (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) | |
| accuracy | 2.668481901720699 | (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) | |
| accuracy | 4.8209931207817 | (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) | |
| accuracy | 32.01844568651265 | #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) | |
| accuracy | 0.15234375 | (*.f64 b (/.f64 #s(literal 2/3 binary64) a)) | |
| accuracy | 0.3515625 | (/.f64 #s(literal 2/3 binary64) a) | |
| accuracy | 52.85585596376117 | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 2/3 binary64) a))) | |
| accuracy | 3.878031250458756 | (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) | |
| accuracy | 4.361438198487516 | (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) #s(literal -1 binary64))) | |
| accuracy | 4.8209931207817 | (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) | |
| accuracy | 20.967841538895787 | (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
| 123.0ms | 57× | 2 | valid |
| 42.0ms | 56× | 1 | valid |
| 35.0ms | 98× | 0 | valid |
| 22.0ms | 32× | 1 | invalid |
| 8.0ms | 7× | 3 | valid |
| 4.0ms | 4× | 2 | invalid |
| 1.0ms | 2× | 0 | invalid |
Compiled 801 to 107 computations (86.6% saved)
ival-mult: 77.0ms (39.4% of total)ival-sub: 29.0ms (14.8% of total)ival-div: 20.0ms (10.2% of total)ival-add: 18.0ms (9.2% of total)adjust: 15.0ms (7.7% of total)ival-sqrt: 15.0ms (7.7% of total)ival-log: 9.0ms (4.6% of total)const: 7.0ms (3.6% of total)ival-exp: 4.0ms (2% of total)ival-neg: 1.0ms (0.5% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) #s(literal -1 binary64)) |
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) #s(literal -1 binary64))) a) |
(log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 2/3 binary64) a))) |
(*.f64 b (/.f64 #s(literal 2/3 binary64) a)) |
(/.f64 #s(literal 2/3 binary64) a) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
(-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) |
#s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) |
(*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) |
(-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) |
(sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a)) |
(sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) |
#s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
| Outputs |
|---|
(* -1/2 (/ (* a c) b)) |
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -1 (+ (log (* -2 (/ b c))) (* -1 (log a)))) |
(+ (* -1 (+ (log (* -2 (/ b c))) (* -1 (log a)))) (* 3/4 (/ (* a c) (pow b 2)))) |
(+ (* -1 (+ (log (* -2 (/ b c))) (* -1 (log a)))) (* a (+ (* -1/2 (* a (+ (* -9/16 (/ (pow c 2) (pow b 4))) (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) b)))) (* 3/4 (/ c (pow b 2)))))) |
(+ (* -1 (+ (log (* -2 (/ b c))) (* -1 (log a)))) (* a (+ (* 3/4 (/ c (pow b 2))) (* a (+ (* -1/2 (+ (* -9/16 (/ (pow c 2) (pow b 4))) (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) b))) (* -1/6 (* a (+ (* -27/32 (/ (pow c 3) (pow b 6))) (+ (* 9/4 (/ (* (pow c 2) (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) (pow b 3))) (* 3 (/ (* c (+ (* -3/4 (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 27/16 (/ (pow c 2) (pow b 5)))))) b))))))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(+ (log (* -2 (/ b c))) (* -1 (log a))) |
(+ (log (* -2 (/ b c))) (+ (* -1 (log a)) (* -3/4 (/ (* a c) (pow b 2))))) |
(+ (log (* -2 (/ b c))) (+ (* -1 (log a)) (* a (+ (* -3/4 (/ c (pow b 2))) (* 1/2 (* a (+ (* -9/16 (/ (pow c 2) (pow b 4))) (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) b)))))))) |
(+ (log (* -2 (/ b c))) (+ (* -1 (log a)) (* a (+ (* -3/4 (/ c (pow b 2))) (* a (+ (* 1/6 (* a (+ (* -27/32 (/ (pow c 3) (pow b 6))) (+ (* 9/4 (/ (* (pow c 2) (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) (pow b 3))) (* 3 (/ (* c (+ (* -3/4 (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 27/16 (/ (pow c 2) (pow b 5)))))) b)))))) (* 1/2 (+ (* -9/16 (/ (pow c 2) (pow b 4))) (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) b))))))))) |
(* 2/3 (/ b a)) |
(/ 2/3 a) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* 2 b) |
(+ (* -3/2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a) |
(* (pow 1 1/4) (sqrt b)) |
(+ (* -3/4 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* a (+ (* -3/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -9/8 (/ (pow c 2) (pow b 4))) (* 9/32 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* a (+ (* -3/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b) (+ (* -9/8 (/ (pow c 2) (pow b 4))) (* 9/32 (/ (pow c 2) (pow b 4)))))) (* (pow 1 1/4) (* (* a (+ (* -9/4 (/ (pow c 3) (pow b 6))) (+ (* -9/128 (/ (pow c 3) (pow b 6))) (* 27/32 (/ (pow c 3) (pow b 6)))))) (sqrt b))))))) (* (pow 1 1/4) (sqrt b))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
(* -1 (+ (log (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (log (/ 1 a)))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) (* -1 (+ (log (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (log (/ 1 a))))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) (+ (* -1 (+ (log (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (log (/ 1 a)))) (* -1/2 (/ (+ (* -1 (/ (* a (pow b 2)) (* c (pow (sqrt -3) 2)))) (* -2/3 (* (sqrt (/ c a)) (* (sqrt -3) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))))))) (pow a 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) (+ (* -1 (+ (log (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (log (/ 1 a)))) (+ (* -1/2 (/ (+ (* -1 (/ (* a (pow b 2)) (* c (pow (sqrt -3) 2)))) (* -2/3 (* (sqrt (/ c a)) (* (sqrt -3) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))))))) (pow a 2))) (* -1/6 (/ (+ (* -2 (* (sqrt (/ c a)) (* (sqrt -3) (+ (* 3/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3))))))) (+ (* 2 (* b (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 3) (pow (sqrt -3) 3)))))) (pow a 3)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(+ (log (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (log (/ 1 a))) |
(+ (log (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (+ (log (/ 1 a)) (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3))))) |
(+ (log (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (+ (log (/ 1 a)) (+ (* 1/2 (/ (+ (* -1 (/ (* a (pow b 2)) (* c (pow (sqrt -3) 2)))) (* -2/3 (* (sqrt (/ c a)) (* (sqrt -3) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))))))) (pow a 2))) (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) |
(+ (log (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (+ (log (/ 1 a)) (+ (* 1/6 (/ (+ (* -2 (* (sqrt (/ c a)) (* (sqrt -3) (+ (* 3/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3))))))) (+ (* 2 (* b (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 3) (pow (sqrt -3) 3)))))) (pow a 3))) (+ (* 1/2 (/ (+ (* -1 (/ (* a (pow b 2)) (* c (pow (sqrt -3) 2)))) (* -2/3 (* (sqrt (/ c a)) (* (sqrt -3) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))))))) (pow a 2))) (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) |
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))) |
(+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))) |
(exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) |
(+ (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2))))) (pow a 2)))) |
(+ (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/324 (/ (pow b 6) (pow c 3))) (+ (* -1/10368 (/ (pow b 6) (pow c 3))) (* 1/864 (/ (pow b 6) (pow c 3)))))) (pow a 3))))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (+ (log (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) (log (/ -1 a)))) |
(+ (* -1 (+ (log (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) (log (/ -1 a)))) (* (sqrt (/ 1 (* a c))) (/ (* b (sqrt -1)) (sqrt 3)))) |
(+ (* -1 (+ (log (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) (log (/ -1 a)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (sqrt -1)) (sqrt 3)))) (* 1/2 (/ (+ (* -2/3 (* (sqrt (/ c a)) (* (sqrt -1) (* (sqrt 3) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))))) (/ (* a (pow b 2)) (* c (pow (sqrt 3) 2)))) a))) a))) |
(+ (* -1 (+ (log (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) (log (/ -1 a)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (sqrt -1)) (sqrt 3)))) (* -1 (/ (+ (* -1/2 (+ (* -2/3 (* (sqrt (/ c a)) (* (sqrt -1) (* (sqrt 3) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))))) (/ (* a (pow b 2)) (* c (pow (sqrt 3) 2))))) (* 1/6 (/ (+ (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (* (sqrt 3) (+ (* 3/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))))))) (+ (* 2 (* b (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 3) (sqrt -1)) (pow (sqrt 3) 3)))))) a))) a))) a))) |
(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (log (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) (log (/ -1 a))) |
(+ (log (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) (+ (log (/ -1 a)) (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (sqrt -1)) (sqrt 3)))))) |
(+ (log (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) (+ (log (/ -1 a)) (* -1 (/ (+ (* -1/2 (/ (+ (* -2/3 (* (sqrt (/ c a)) (* (sqrt -1) (* (sqrt 3) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))))) (/ (* a (pow b 2)) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (* b (sqrt -1)) (sqrt 3)))) a)))) |
(+ (log (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) (+ (log (/ -1 a)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (* (sqrt 3) (+ (* 3/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))))))) (+ (* 2 (* b (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 3) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* 1/2 (+ (* -2/3 (* (sqrt (/ c a)) (* (sqrt -1) (* (sqrt 3) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))))) (/ (* a (pow b 2)) (* c (pow (sqrt 3) 2)))))) a)) (* (sqrt (/ a c)) (/ (* b (sqrt -1)) (sqrt 3)))) a)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))) |
(+ (* -1 (/ (+ (* -1/3 b) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) |
(+ (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2))))) a)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a))))))) c))) a))) |
(+ (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/864 (/ (pow b 6) (pow c 3))) (+ (* 1/10368 (/ (pow b 6) (pow c 3))) (* 1/324 (/ (pow b 6) (pow c 3)))))) a)) (* (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2)))))) a)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a))))))) c))) a))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))) |
(* -1 (log (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) |
(+ (* -1 (log (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3))))) |
(+ (* -1 (log (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* -1/2 (* b (- (* -2/3 (* (sqrt (* a c)) (* (sqrt -3) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))))))) |
(+ (* -1 (log (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* b (+ (* -1/2 (- (* -2/3 (* (sqrt (* a c)) (* (sqrt -3) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (* -1/6 (* b (+ (* -2 (* (sqrt (* a c)) (* (sqrt -3) (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))) (* 3/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -3) 4))))))))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 2 (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))))))))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(log (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))) |
(+ (log (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))) (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) |
(+ (log (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))) (* b (+ (* 1/2 (* b (- (* -2/3 (* (sqrt (* a c)) (* (sqrt -3) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))))) (/ 1 (* a (* c (pow (sqrt -3) 2))))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) |
(+ (log (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))) (* b (+ (* b (+ (* 1/6 (* b (+ (* -2 (* (sqrt (* a c)) (* (sqrt -3) (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))) (* 3/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -3) 4))))))))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 2 (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))))))) (* 1/2 (- (* -2/3 (* (sqrt (* a c)) (* (sqrt -3) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(+ b (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(pow (* -3 (* a c)) 1/4) |
(+ (* -1/12 (* (pow (/ -3 (* (pow a 3) (pow c 3))) 1/4) (pow b 2))) (pow (* -3 (* a c)) 1/4)) |
(+ (* (pow b 2) (+ (* -1/12 (pow (/ -3 (* (pow a 3) (pow c 3))) 1/4)) (* -1/96 (* (pow (/ -3 (* (pow a 7) (pow c 7))) 1/4) (pow b 2))))) (pow (* -3 (* a c)) 1/4)) |
(+ (* (pow b 2) (+ (* -1/12 (pow (/ -3 (* (pow a 3) (pow c 3))) 1/4)) (* (pow b 2) (+ (* -1/96 (pow (/ -3 (* (pow a 7) (pow c 7))) 1/4)) (* -7/3456 (* (pow (/ -3 (* (pow a 11) (pow c 11))) 1/4) (pow b 2))))))) (pow (* -3 (* a c)) 1/4)) |
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -1 (+ (log (/ -2 (* a c))) (* -1 (log (/ 1 b))))) |
(+ (* -1 (+ (log (/ -2 (* a c))) (* -1 (log (/ 1 b))))) (* 3/4 (/ (* a c) (pow b 2)))) |
(+ (* -1 (+ (log (/ -2 (* a c))) (* -1 (log (/ 1 b))))) (+ (* -1/24 (/ (+ (* -27/4 (* (pow a 2) (pow c 2))) (* 12 (* a (* c (+ (* -9/4 (* a c)) (* 9/8 (* a c))))))) (pow b 4))) (* 3/4 (/ (* a c) (pow b 2))))) |
(+ (* -1 (+ (log (/ -2 (* a c))) (* -1 (log (/ 1 b))))) (+ (* -1/24 (/ (+ (* -27/4 (* (pow a 2) (pow c 2))) (* 12 (* a (* c (+ (* -9/4 (* a c)) (* 9/8 (* a c))))))) (pow b 4))) (+ (* -1/720 (/ (+ (* -405/4 (* (pow a 3) (pow c 3))) (+ (* 270 (* (pow a 2) (* (pow c 2) (+ (* -9/4 (* a c)) (* 9/8 (* a c)))))) (* 360 (* a (* c (+ (* -3/4 (* a (* c (+ (* -9/4 (* a c)) (* 9/8 (* a c)))))) (+ (* -2/3 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 27/16 (* (pow a 2) (pow c 2)))))))))) (pow b 6))) (* 3/4 (/ (* a c) (pow b 2)))))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(+ (log (/ -2 (* a c))) (* -1 (log (/ 1 b)))) |
(+ (log (/ -2 (* a c))) (+ (* -1 (log (/ 1 b))) (* -3/4 (/ (* a c) (pow b 2))))) |
(+ (log (/ -2 (* a c))) (+ (* -1 (log (/ 1 b))) (+ (* -3/4 (/ (* a c) (pow b 2))) (* 1/24 (/ (+ (* -27/4 (* (pow a 2) (pow c 2))) (* 12 (* a (* c (+ (* -9/4 (* a c)) (* 9/8 (* a c))))))) (pow b 4)))))) |
(+ (log (/ -2 (* a c))) (+ (* -1 (log (/ 1 b))) (+ (* -3/4 (/ (* a c) (pow b 2))) (+ (* 1/720 (/ (+ (* -405/4 (* (pow a 3) (pow c 3))) (+ (* 270 (* (pow a 2) (* (pow c 2) (+ (* -9/4 (* a c)) (* 9/8 (* a c)))))) (* 360 (* a (* c (+ (* -3/4 (* a (* c (+ (* -9/4 (* a c)) (* 9/8 (* a c)))))) (+ (* -2/3 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 27/16 (* (pow a 2) (pow c 2)))))))))) (pow b 6))) (* 1/24 (/ (+ (* -27/4 (* (pow a 2) (pow c 2))) (* 12 (* a (* c (+ (* -9/4 (* a c)) (* 9/8 (* a c))))))) (pow b 4))))))) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))) |
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))) |
(* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(sqrt b) |
(+ (sqrt b) (* -3/4 (* (* a c) (sqrt (/ 1 (pow b 3)))))) |
(+ (sqrt b) (+ (* -3/4 (* (* a c) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 (pow b 7))) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2))))))) |
(+ (sqrt b) (+ (* -3/4 (* (* a c) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt (/ 1 (pow b 7))) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2))))) (* (sqrt (/ 1 (pow b 11))) (+ (* -9/4 (* (pow a 3) (pow c 3))) (+ (* -9/128 (* (pow a 3) (pow c 3))) (* 27/32 (* (pow a 3) (pow c 3))))))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (+ (log 3/2) (log (/ -1 b)))) |
(+ (* -1 (+ (log 3/2) (log (/ -1 b)))) (* -3/4 (/ (* a c) (pow b 2)))) |
(+ (* -1 (+ (log 3/2) (log (/ -1 b)))) (+ (* -3/4 (/ (* a c) (pow b 2))) (* -1/24 (/ (+ (* -27/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 4))))) |
(+ (* -1 (+ (log 3/2) (log (/ -1 b)))) (+ (* -3/4 (/ (* a c) (pow b 2))) (+ (* -1/24 (/ (+ (* -27/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 4))) (* -1/720 (/ (+ (* -1215/2 (* (pow a 3) (pow c 3))) (+ (* -480 (+ (* -81/32 (* (pow a 3) (pow c 3))) (* -81/128 (* (pow a 3) (pow c 3))))) (* 405/4 (* (pow a 3) (pow c 3))))) (pow b 6)))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(+ (log 3/2) (log (/ -1 b))) |
(+ (log 3/2) (+ (log (/ -1 b)) (* 3/4 (/ (* a c) (pow b 2))))) |
(+ (log 3/2) (+ (log (/ -1 b)) (+ (* 1/24 (/ (+ (* -27/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 3/4 (/ (* a c) (pow b 2)))))) |
(+ (log 3/2) (+ (log (/ -1 b)) (+ (* 1/720 (/ (+ (* -1215/2 (* (pow a 3) (pow c 3))) (+ (* -480 (+ (* -81/32 (* (pow a 3) (pow c 3))) (* -81/128 (* (pow a 3) (pow c 3))))) (* 405/4 (* (pow a 3) (pow c 3))))) (pow b 6))) (+ (* 1/24 (/ (+ (* -27/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 3/4 (/ (* a c) (pow b 2))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 3/2 (/ (* a c) b)) |
(* -1 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* 1/2 (/ c b)) |
(* -1 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) |
(* (sqrt b) (sqrt -1)) |
(+ (* -3/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (* (sqrt b) (sqrt -1))) |
(+ (* -3/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2)))))))) |
(+ (* -3/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (+ (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2)))))) (* (sqrt (/ 1 (pow b 11))) (* (sqrt -1) (+ (* -9/4 (* (pow a 3) (pow c 3))) (+ (* -9/128 (* (pow a 3) (pow c 3))) (* 27/32 (* (pow a 3) (pow c 3)))))))))) |
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* -1 (+ (log (* -2 (/ b a))) (* -1 (log c)))) |
(+ (* -1 (+ (log (* -2 (/ b a))) (* -1 (log c)))) (* 3/4 (/ (* a c) (pow b 2)))) |
(+ (* -1 (+ (log (* -2 (/ b a))) (* -1 (log c)))) (* c (+ (* -1/2 (* c (+ (* -9/16 (/ (pow a 2) (pow b 4))) (/ (* a (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) b)))) (* 3/4 (/ a (pow b 2)))))) |
(+ (* -1 (+ (log (* -2 (/ b a))) (* -1 (log c)))) (* c (+ (* 3/4 (/ a (pow b 2))) (* c (+ (* -1/2 (+ (* -9/16 (/ (pow a 2) (pow b 4))) (/ (* a (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) b))) (* -1/6 (* c (+ (* -27/32 (/ (pow a 3) (pow b 6))) (+ (* 9/4 (/ (* (pow a 2) (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) (pow b 3))) (* 3 (/ (* a (+ (* -3/4 (/ (* a (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 27/16 (/ (pow a 2) (pow b 5)))))) b))))))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(+ (log (* -2 (/ b a))) (* -1 (log c))) |
(+ (log (* -2 (/ b a))) (+ (* -1 (log c)) (* -3/4 (/ (* a c) (pow b 2))))) |
(+ (log (* -2 (/ b a))) (+ (* -1 (log c)) (* c (+ (* -3/4 (/ a (pow b 2))) (* 1/2 (* c (+ (* -9/16 (/ (pow a 2) (pow b 4))) (/ (* a (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) b)))))))) |
(+ (log (* -2 (/ b a))) (+ (* -1 (log c)) (* c (+ (* -3/4 (/ a (pow b 2))) (* c (+ (* 1/6 (* c (+ (* -27/32 (/ (pow a 3) (pow b 6))) (+ (* 9/4 (/ (* (pow a 2) (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) (pow b 3))) (* 3 (/ (* a (+ (* -3/4 (/ (* a (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 27/16 (/ (pow a 2) (pow b 5)))))) b)))))) (* 1/2 (+ (* -9/16 (/ (pow a 2) (pow b 4))) (/ (* a (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) b))))))))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(+ (* -1/2 (/ c b)) (* 2/3 (/ b a))) |
(+ (* 2/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* 2/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))) |
(+ (* c (+ (* -3/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -9/8 (/ (pow a 2) (pow b 4))) (* 9/32 (/ (pow a 2) (pow b 4))))))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* c (+ (* -3/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* c (+ (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -9/4 (/ (pow a 3) (pow b 6))) (+ (* -9/128 (/ (pow a 3) (pow b 6))) (* 27/32 (/ (pow a 3) (pow b 6)))))))) (* (pow 1 1/4) (* (sqrt b) (+ (* -9/8 (/ (pow a 2) (pow b 4))) (* 9/32 (/ (pow a 2) (pow b 4)))))))))) (* (pow 1 1/4) (sqrt b))) |
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
(* -1 (+ (log (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (log (/ 1 c)))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) (* -1 (+ (log (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (log (/ 1 c))))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) (+ (* -1 (+ (log (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (log (/ 1 c)))) (* -1/2 (/ (+ (* -1 (/ (* (pow b 2) c) (* a (pow (sqrt -3) 2)))) (* -2/3 (* (sqrt (/ a c)) (* (sqrt -3) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))))))) (pow c 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) (+ (* -1 (+ (log (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (log (/ 1 c)))) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow b 2) c) (* a (pow (sqrt -3) 2)))) (* -2/3 (* (sqrt (/ a c)) (* (sqrt -3) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))))))) (pow c 2))) (* -1/6 (/ (+ (* -2 (* (sqrt (/ a c)) (* (sqrt -3) (+ (* 3/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3))))))) (+ (* 2 (* b (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 3) (pow (sqrt -3) 3)))))) (pow c 3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(+ (log (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (log (/ 1 c))) |
(+ (log (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (+ (log (/ 1 c)) (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3))))) |
(+ (log (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (+ (log (/ 1 c)) (+ (* 1/2 (/ (+ (* -1 (/ (* (pow b 2) c) (* a (pow (sqrt -3) 2)))) (* -2/3 (* (sqrt (/ a c)) (* (sqrt -3) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))))))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) |
(+ (log (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (+ (log (/ 1 c)) (+ (* 1/6 (/ (+ (* -2 (* (sqrt (/ a c)) (* (sqrt -3) (+ (* 3/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3))))))) (+ (* 2 (* b (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 3) (pow (sqrt -3) 3)))))) (pow c 3))) (+ (* 1/2 (/ (+ (* -1 (/ (* (pow b 2) c) (* a (pow (sqrt -3) 2)))) (* -2/3 (* (sqrt (/ a c)) (* (sqrt -3) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))))))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))))) |
(* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))) |
(* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))) |
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))))) |
(exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) |
(+ (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2))))) (pow c 2)))) |
(+ (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2))))) (pow c 2)) (/ (* (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/324 (/ (pow b 6) (pow a 3))) (+ (* -1/10368 (/ (pow b 6) (pow a 3))) (* 1/864 (/ (pow b 6) (pow a 3)))))) (pow c 3))))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (+ (log (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) (log (/ -1 c)))) |
(+ (* -1 (+ (log (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) (log (/ -1 c)))) (* (sqrt (/ 1 (* a c))) (/ (* b (sqrt -1)) (sqrt 3)))) |
(+ (* -1 (+ (log (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) (log (/ -1 c)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (sqrt -1)) (sqrt 3)))) (* 1/2 (/ (+ (* -2/3 (* (sqrt (/ a c)) (* (sqrt -1) (* (sqrt 3) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))))) (/ (* (pow b 2) c) (* a (pow (sqrt 3) 2)))) c))) c))) |
(+ (* -1 (+ (log (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) (log (/ -1 c)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (sqrt -1)) (sqrt 3)))) (* -1 (/ (+ (* -1/2 (+ (* -2/3 (* (sqrt (/ a c)) (* (sqrt -1) (* (sqrt 3) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))))) (/ (* (pow b 2) c) (* a (pow (sqrt 3) 2))))) (* 1/6 (/ (+ (* -2 (* (sqrt (/ a c)) (* (sqrt -1) (* (sqrt 3) (+ (* 3/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt 3) 4)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))))))) (+ (* 2 (* b (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (pow (sqrt 3) 3)))))) c))) c))) c))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(+ (log (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) (log (/ -1 c))) |
(+ (log (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) (+ (log (/ -1 c)) (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (sqrt -1)) (sqrt 3)))))) |
(+ (log (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) (+ (log (/ -1 c)) (* -1 (/ (+ (* -1/2 (/ (+ (* -2/3 (* (sqrt (/ a c)) (* (sqrt -1) (* (sqrt 3) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))))) (/ (* (pow b 2) c) (* a (pow (sqrt 3) 2)))) c)) (* (sqrt (/ c a)) (/ (* b (sqrt -1)) (sqrt 3)))) c)))) |
(+ (log (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) (+ (log (/ -1 c)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (* (sqrt (/ a c)) (* (sqrt -1) (* (sqrt 3) (+ (* 3/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt 3) 4)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))))))) (+ (* 2 (* b (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* 1/2 (+ (* -2/3 (* (sqrt (/ a c)) (* (sqrt -1) (* (sqrt 3) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))))) (/ (* (pow b 2) c) (* a (pow (sqrt 3) 2)))))) c)) (* (sqrt (/ c a)) (/ (* b (sqrt -1)) (sqrt 3)))) c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2))))) c)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/864 (/ (pow b 6) (pow a 3))) (+ (* 1/10368 (/ (pow b 6) (pow a 3))) (* 1/324 (/ (pow b 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2)))))) c)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 27.0ms | a | @ | inf | ((exp (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1)) (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1) (/ (exp (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1)) a) (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* b (/ 2/3 a)) (/ 2/3 a) (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (- (sqrt (+ (* a (* c -3)) (* b b))) b) (sqrt (+ (* a (* c -3)) (* b b))) (/ (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 1/3) a) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 1/3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (/ (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (* 3 a)) (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (+ (* (* -3 c) a) (* b b))) (sqrt (+ (* (* -3 a) c) (* b b))) (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (+ (* (* -3 c) a) (* b b)) (+ (* (* -3 c) a) (* b b))) |
| 10.0ms | b | @ | -inf | ((exp (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1)) (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1) (/ (exp (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1)) a) (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* b (/ 2/3 a)) (/ 2/3 a) (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (- (sqrt (+ (* a (* c -3)) (* b b))) b) (sqrt (+ (* a (* c -3)) (* b b))) (/ (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 1/3) a) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 1/3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (/ (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (* 3 a)) (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (+ (* (* -3 c) a) (* b b))) (sqrt (+ (* (* -3 a) c) (* b b))) (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (+ (* (* -3 c) a) (* b b)) (+ (* (* -3 c) a) (* b b))) |
| 8.0ms | a | @ | -inf | ((exp (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1)) (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1) (/ (exp (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1)) a) (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* b (/ 2/3 a)) (/ 2/3 a) (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (- (sqrt (+ (* a (* c -3)) (* b b))) b) (sqrt (+ (* a (* c -3)) (* b b))) (/ (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 1/3) a) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 1/3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (/ (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (* 3 a)) (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (+ (* (* -3 c) a) (* b b))) (sqrt (+ (* (* -3 a) c) (* b b))) (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (+ (* (* -3 c) a) (* b b)) (+ (* (* -3 c) a) (* b b))) |
| 6.0ms | b | @ | inf | ((exp (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1)) (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1) (/ (exp (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1)) a) (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* b (/ 2/3 a)) (/ 2/3 a) (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (- (sqrt (+ (* a (* c -3)) (* b b))) b) (sqrt (+ (* a (* c -3)) (* b b))) (/ (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 1/3) a) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 1/3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (/ (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (* 3 a)) (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (+ (* (* -3 c) a) (* b b))) (sqrt (+ (* (* -3 a) c) (* b b))) (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (+ (* (* -3 c) a) (* b b)) (+ (* (* -3 c) a) (* b b))) |
| 6.0ms | b | @ | 0 | ((exp (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1)) (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1) (/ (exp (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1)) a) (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (* b (/ 2/3 a)) (/ 2/3 a) (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (- (sqrt (+ (* a (* c -3)) (* b b))) b) (sqrt (+ (* a (* c -3)) (* b b))) (/ (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 1/3) a) (* (- (sqrt (+ (* (* -3 c) a) (* b b))) b) 1/3) (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (sqrt (+ (* (* -3 c) a) (* b b))) (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (/ (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (* 3 a)) (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (+ (* (* -3 c) a) (* b b))) (sqrt (+ (* (* -3 a) c) (* b b))) (- (sqrt (+ (* (* -3 a) c) (* b b))) b) (+ (* (* -3 c) a) (* b b)) (+ (* (* -3 c) a) (* b b))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1624 | 11903 |
| 1 | 5461 | 11417 |
| 0 | 8234 | 10963 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1/2 (/ (* a c) b)) |
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(* -1 (+ (log (* -2 (/ b c))) (* -1 (log a)))) |
(+ (* -1 (+ (log (* -2 (/ b c))) (* -1 (log a)))) (* 3/4 (/ (* a c) (pow b 2)))) |
(+ (* -1 (+ (log (* -2 (/ b c))) (* -1 (log a)))) (* a (+ (* -1/2 (* a (+ (* -9/16 (/ (pow c 2) (pow b 4))) (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) b)))) (* 3/4 (/ c (pow b 2)))))) |
(+ (* -1 (+ (log (* -2 (/ b c))) (* -1 (log a)))) (* a (+ (* 3/4 (/ c (pow b 2))) (* a (+ (* -1/2 (+ (* -9/16 (/ (pow c 2) (pow b 4))) (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) b))) (* -1/6 (* a (+ (* -27/32 (/ (pow c 3) (pow b 6))) (+ (* 9/4 (/ (* (pow c 2) (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) (pow b 3))) (* 3 (/ (* c (+ (* -3/4 (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 27/16 (/ (pow c 2) (pow b 5)))))) b))))))))))) |
(* -1/2 (/ c b)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(+ (log (* -2 (/ b c))) (* -1 (log a))) |
(+ (log (* -2 (/ b c))) (+ (* -1 (log a)) (* -3/4 (/ (* a c) (pow b 2))))) |
(+ (log (* -2 (/ b c))) (+ (* -1 (log a)) (* a (+ (* -3/4 (/ c (pow b 2))) (* 1/2 (* a (+ (* -9/16 (/ (pow c 2) (pow b 4))) (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) b)))))))) |
(+ (log (* -2 (/ b c))) (+ (* -1 (log a)) (* a (+ (* -3/4 (/ c (pow b 2))) (* a (+ (* 1/6 (* a (+ (* -27/32 (/ (pow c 3) (pow b 6))) (+ (* 9/4 (/ (* (pow c 2) (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) (pow b 3))) (* 3 (/ (* c (+ (* -3/4 (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 27/16 (/ (pow c 2) (pow b 5)))))) b)))))) (* 1/2 (+ (* -9/16 (/ (pow c 2) (pow b 4))) (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) b))))))))) |
(* 2/3 (/ b a)) |
(/ 2/3 a) |
(* -3/2 (/ (* a c) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(* 2 b) |
(+ (* -3/2 (/ (* a c) b)) (* 2 b)) |
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a) |
(* (pow 1 1/4) (sqrt b)) |
(+ (* -3/4 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* a (+ (* -3/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* (pow 1 1/4) (* (* a (+ (* -9/8 (/ (pow c 2) (pow b 4))) (* 9/32 (/ (pow c 2) (pow b 4))))) (sqrt b))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* a (+ (* -3/4 (* (pow 1 1/4) (* (sqrt (/ 1 (pow b 3))) c))) (* a (+ (* (pow 1 1/4) (* (sqrt b) (+ (* -9/8 (/ (pow c 2) (pow b 4))) (* 9/32 (/ (pow c 2) (pow b 4)))))) (* (pow 1 1/4) (* (* a (+ (* -9/4 (/ (pow c 3) (pow b 6))) (+ (* -9/128 (/ (pow c 3) (pow b 6))) (* 27/32 (/ (pow c 3) (pow b 6)))))) (sqrt b))))))) (* (pow 1 1/4) (sqrt b))) |
(pow b 2) |
(+ (* -3 (* a c)) (pow b 2)) |
(* 1/3 (* (sqrt (* a c)) (sqrt -3))) |
(* a (+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))))) |
(* -1 (+ (log (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (log (/ 1 a)))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) (* -1 (+ (log (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (log (/ 1 a))))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) (+ (* -1 (+ (log (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (log (/ 1 a)))) (* -1/2 (/ (+ (* -1 (/ (* a (pow b 2)) (* c (pow (sqrt -3) 2)))) (* -2/3 (* (sqrt (/ c a)) (* (sqrt -3) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))))))) (pow a 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) (+ (* -1 (+ (log (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (log (/ 1 a)))) (+ (* -1/2 (/ (+ (* -1 (/ (* a (pow b 2)) (* c (pow (sqrt -3) 2)))) (* -2/3 (* (sqrt (/ c a)) (* (sqrt -3) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))))))) (pow a 2))) (* -1/6 (/ (+ (* -2 (* (sqrt (/ c a)) (* (sqrt -3) (+ (* 3/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3))))))) (+ (* 2 (* b (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 3) (pow (sqrt -3) 3)))))) (pow a 3)))))) |
(* 1/3 (* (sqrt (/ c a)) (sqrt -3))) |
(+ (* -1/3 (/ b a)) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))) |
(+ (* -1/3 (/ b a)) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3))))) |
(+ (* -1/3 (/ b a)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ c a)) (sqrt -3)))))) |
(+ (log (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (log (/ 1 a))) |
(+ (log (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (+ (log (/ 1 a)) (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3))))) |
(+ (log (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (+ (log (/ 1 a)) (+ (* 1/2 (/ (+ (* -1 (/ (* a (pow b 2)) (* c (pow (sqrt -3) 2)))) (* -2/3 (* (sqrt (/ c a)) (* (sqrt -3) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))))))) (pow a 2))) (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) |
(+ (log (* 3 (* (sqrt (/ a c)) (/ 1 (sqrt -3))))) (+ (log (/ 1 a)) (+ (* 1/6 (/ (+ (* -2 (* (sqrt (/ c a)) (* (sqrt -3) (+ (* 3/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt -3) 4)))) (* (sqrt (/ a c)) (/ (* b (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3))))))) (+ (* 2 (* b (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 3) (pow (sqrt -3) 3)))))) (pow a 3))) (+ (* 1/2 (/ (+ (* -1 (/ (* a (pow b 2)) (* c (pow (sqrt -3) 2)))) (* -2/3 (* (sqrt (/ c a)) (* (sqrt -3) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (pow b 2) (pow (sqrt -3) 3))))))))) (pow a 2))) (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3))))))) |
(* (sqrt (* a c)) (sqrt -3)) |
(* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))) (/ b a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ c a)) (sqrt -3)))))) |
(* a (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ c a)) (sqrt -3)) (/ b a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))) |
(+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a)))) |
(+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* 1/3 (/ b a))))) |
(exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) |
(+ (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2))))) (pow a 2)))) |
(+ (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2))))) (pow a 2)) (/ (* (exp (* 1/4 (+ (log (* -3 c)) (* -1 (log (/ 1 a)))))) (+ (* -1/324 (/ (pow b 6) (pow c 3))) (+ (* -1/10368 (/ (pow b 6) (pow c 3))) (* 1/864 (/ (pow b 6) (pow c 3)))))) (pow a 3))))) |
(* -3 (* a c)) |
(* a (+ (* -3 c) (/ (pow b 2) a))) |
(* -1/3 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 b)) a)) (* 1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (+ (log (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) (log (/ -1 a)))) |
(+ (* -1 (+ (log (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) (log (/ -1 a)))) (* (sqrt (/ 1 (* a c))) (/ (* b (sqrt -1)) (sqrt 3)))) |
(+ (* -1 (+ (log (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) (log (/ -1 a)))) (* -1 (/ (+ (* -1 (* (sqrt (/ a c)) (/ (* b (sqrt -1)) (sqrt 3)))) (* 1/2 (/ (+ (* -2/3 (* (sqrt (/ c a)) (* (sqrt -1) (* (sqrt 3) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))))) (/ (* a (pow b 2)) (* c (pow (sqrt 3) 2)))) a))) a))) |
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(* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* -1/3 (/ b a))) |
(+ (* -1 (/ (+ (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* 1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (log (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) (log (/ -1 a))) |
(+ (log (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) (+ (log (/ -1 a)) (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (sqrt -1)) (sqrt 3)))))) |
(+ (log (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) (+ (log (/ -1 a)) (* -1 (/ (+ (* -1/2 (/ (+ (* -2/3 (* (sqrt (/ c a)) (* (sqrt -1) (* (sqrt 3) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))))) (/ (* a (pow b 2)) (* c (pow (sqrt 3) 2)))) a)) (* (sqrt (/ a c)) (/ (* b (sqrt -1)) (sqrt 3)))) a)))) |
(+ (log (* 3 (* (sqrt (/ a c)) (/ (sqrt -1) (sqrt 3))))) (+ (log (/ -1 a)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (* (sqrt (/ c a)) (* (sqrt -1) (* (sqrt 3) (+ (* 3/2 (/ (* (pow a 2) (pow b 3)) (* (pow c 2) (pow (sqrt 3) 4)))) (* (sqrt (/ a c)) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))))))) (+ (* 2 (* b (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (* 2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 3) (sqrt -1)) (pow (sqrt 3) 3)))))) a)) (* 1/2 (+ (* -2/3 (* (sqrt (/ c a)) (* (sqrt -1) (* (sqrt 3) (+ (* -3 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow a 3) (pow c 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))))) (/ (* a (pow b 2)) (* c (pow (sqrt 3) 2)))))) a)) (* (sqrt (/ a c)) (/ (* b (sqrt -1)) (sqrt 3)))) a)))) |
(* -1 (* (sqrt (* a c)) (* (sqrt -1) (sqrt 3)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))) (/ b a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) b) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* a (+ (* -1 (/ b a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* a (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a))) a)) (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))))) |
(+ (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b a))) |
(+ (* -1 (/ (+ (* -1/3 b) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(+ (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ a c)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/24 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3))))) a)) (* -1/3 b)) a)) (* -1/3 (* (sqrt (/ c a)) (* (sqrt -1) (sqrt 3))))) |
(exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) |
(+ (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2))))) a)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a))))))) c))) a))) |
(+ (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/864 (/ (pow b 6) (pow c 3))) (+ (* 1/10368 (/ (pow b 6) (pow c 3))) (* 1/324 (/ (pow b 6) (pow c 3)))))) a)) (* (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a)))))) (+ (* -1/72 (/ (pow b 4) (pow c 2))) (* 1/288 (/ (pow b 4) (pow c 2)))))) a)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 c)) (* -1 (log (/ -1 a))))))) c))) a))) |
(* -1 (* a (+ (* -1 (/ (pow b 2) a)) (* 3 c)))) |
(+ (* -1/3 b) (* 1/3 (* (sqrt (* a c)) (sqrt -3)))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1/3))) |
(+ (* 1/3 (* (sqrt (* a c)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1/3))) |
(* -1 (log (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) |
(+ (* -1 (log (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) (* -1 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3))))) |
(+ (* -1 (log (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* -1/2 (* b (- (* -2/3 (* (sqrt (* a c)) (* (sqrt -3) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))))))) |
(+ (* -1 (log (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) (* b (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* b (+ (* -1/2 (- (* -2/3 (* (sqrt (* a c)) (* (sqrt -3) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))) (* -1/6 (* b (+ (* -2 (* (sqrt (* a c)) (* (sqrt -3) (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))) (* 3/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -3) 4))))))))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 2 (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))))))))))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (- (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(log (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))) |
(+ (log (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))) (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) |
(+ (log (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))) (* b (+ (* 1/2 (* b (- (* -2/3 (* (sqrt (* a c)) (* (sqrt -3) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))))) (/ 1 (* a (* c (pow (sqrt -3) 2))))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) |
(+ (log (* 3 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))) (* b (+ (* b (+ (* 1/6 (* b (+ (* -2 (* (sqrt (* a c)) (* (sqrt -3) (+ (* (sqrt (/ 1 (* a c))) (/ (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3))))) (sqrt -3))) (* 3/2 (/ 1 (* (pow a 2) (* (pow c 2) (pow (sqrt -3) 4))))))))) (+ (* 2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 2 (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))))))) (* 1/2 (- (* -2/3 (* (sqrt (* a c)) (* (sqrt -3) (+ (* -3 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))))))) (/ 1 (* a (* c (pow (sqrt -3) 2)))))))) (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) |
(+ (* -1 b) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (- (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))) 1)) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3))))))) |
(+ (* (sqrt (* a c)) (sqrt -3)) (* (pow b 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))) (* (pow b 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -3) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 2) (pow (sqrt -3) 5))))))))) |
(+ b (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (+ 1 (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* b (+ 1 (* b (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -3)))))))) (* (sqrt (* a c)) (sqrt -3))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b (sqrt -3)))) (* 1/3 (/ 1 a))))) |
(+ (* 1/3 (* (sqrt (/ c a)) (sqrt -3))) (* b (+ (* b (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -3)))))) (* 1/3 (/ 1 a))))) |
(pow (* -3 (* a c)) 1/4) |
(+ (* -1/12 (* (pow (/ -3 (* (pow a 3) (pow c 3))) 1/4) (pow b 2))) (pow (* -3 (* a c)) 1/4)) |
(+ (* (pow b 2) (+ (* -1/12 (pow (/ -3 (* (pow a 3) (pow c 3))) 1/4)) (* -1/96 (* (pow (/ -3 (* (pow a 7) (pow c 7))) 1/4) (pow b 2))))) (pow (* -3 (* a c)) 1/4)) |
(+ (* (pow b 2) (+ (* -1/12 (pow (/ -3 (* (pow a 3) (pow c 3))) 1/4)) (* (pow b 2) (+ (* -1/96 (pow (/ -3 (* (pow a 7) (pow c 7))) 1/4)) (* -7/3456 (* (pow (/ -3 (* (pow a 11) (pow c 11))) 1/4) (pow b 2))))))) (pow (* -3 (* a c)) 1/4)) |
(/ (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -1/2 (* a c)) (+ (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* -1 (+ (log (/ -2 (* a c))) (* -1 (log (/ 1 b))))) |
(+ (* -1 (+ (log (/ -2 (* a c))) (* -1 (log (/ 1 b))))) (* 3/4 (/ (* a c) (pow b 2)))) |
(+ (* -1 (+ (log (/ -2 (* a c))) (* -1 (log (/ 1 b))))) (+ (* -1/24 (/ (+ (* -27/4 (* (pow a 2) (pow c 2))) (* 12 (* a (* c (+ (* -9/4 (* a c)) (* 9/8 (* a c))))))) (pow b 4))) (* 3/4 (/ (* a c) (pow b 2))))) |
(+ (* -1 (+ (log (/ -2 (* a c))) (* -1 (log (/ 1 b))))) (+ (* -1/24 (/ (+ (* -27/4 (* (pow a 2) (pow c 2))) (* 12 (* a (* c (+ (* -9/4 (* a c)) (* 9/8 (* a c))))))) (pow b 4))) (+ (* -1/720 (/ (+ (* -405/4 (* (pow a 3) (pow c 3))) (+ (* 270 (* (pow a 2) (* (pow c 2) (+ (* -9/4 (* a c)) (* 9/8 (* a c)))))) (* 360 (* a (* c (+ (* -3/4 (* a (* c (+ (* -9/4 (* a c)) (* 9/8 (* a c)))))) (+ (* -2/3 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 27/16 (* (pow a 2) (pow c 2)))))))))) (pow b 6))) (* 3/4 (/ (* a c) (pow b 2)))))) |
(/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b) |
(+ (log (/ -2 (* a c))) (* -1 (log (/ 1 b)))) |
(+ (log (/ -2 (* a c))) (+ (* -1 (log (/ 1 b))) (* -3/4 (/ (* a c) (pow b 2))))) |
(+ (log (/ -2 (* a c))) (+ (* -1 (log (/ 1 b))) (+ (* -3/4 (/ (* a c) (pow b 2))) (* 1/24 (/ (+ (* -27/4 (* (pow a 2) (pow c 2))) (* 12 (* a (* c (+ (* -9/4 (* a c)) (* 9/8 (* a c))))))) (pow b 4)))))) |
(+ (log (/ -2 (* a c))) (+ (* -1 (log (/ 1 b))) (+ (* -3/4 (/ (* a c) (pow b 2))) (+ (* 1/720 (/ (+ (* -405/4 (* (pow a 3) (pow c 3))) (+ (* 270 (* (pow a 2) (* (pow c 2) (+ (* -9/4 (* a c)) (* 9/8 (* a c)))))) (* 360 (* a (* c (+ (* -3/4 (* a (* c (+ (* -9/4 (* a c)) (* 9/8 (* a c)))))) (+ (* -2/3 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* (pow a 2) (pow c 2)))) (* 27/16 (* (pow a 2) (pow c 2)))))))))) (pow b 6))) (* 1/24 (/ (+ (* -27/4 (* (pow a 2) (pow c 2))) (* 12 (* a (* c (+ (* -9/4 (* a c)) (* 9/8 (* a c))))))) (pow b 4))))))) |
(/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b) |
(/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b) |
(* b (+ 1 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (+ 2 (* -3/2 (/ (* a c) (pow b 2))))) |
(* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))) |
(* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a)))) |
(* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))) |
(* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(sqrt b) |
(+ (sqrt b) (* -3/4 (* (* a c) (sqrt (/ 1 (pow b 3)))))) |
(+ (sqrt b) (+ (* -3/4 (* (* a c) (sqrt (/ 1 (pow b 3))))) (* (sqrt (/ 1 (pow b 7))) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2))))))) |
(+ (sqrt b) (+ (* -3/4 (* (* a c) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt (/ 1 (pow b 7))) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2))))) (* (sqrt (/ 1 (pow b 11))) (+ (* -9/4 (* (pow a 3) (pow c 3))) (+ (* -9/128 (* (pow a 3) (pow c 3))) (* 27/32 (* (pow a 3) (pow c 3))))))))) |
(* (pow b 2) (+ 1 (* -3 (/ (* a c) (pow b 2))))) |
(* -2/3 b) |
(* -1 (* b (+ 2/3 (* -1/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2/3 (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2/3 (+ (* -9/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ (* a c) (pow b 2))) (* -3/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 (+ (log 3/2) (log (/ -1 b)))) |
(+ (* -1 (+ (log 3/2) (log (/ -1 b)))) (* -3/4 (/ (* a c) (pow b 2)))) |
(+ (* -1 (+ (log 3/2) (log (/ -1 b)))) (+ (* -3/4 (/ (* a c) (pow b 2))) (* -1/24 (/ (+ (* -27/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 4))))) |
(+ (* -1 (+ (log 3/2) (log (/ -1 b)))) (+ (* -3/4 (/ (* a c) (pow b 2))) (+ (* -1/24 (/ (+ (* -27/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 4))) (* -1/720 (/ (+ (* -1215/2 (* (pow a 3) (pow c 3))) (+ (* -480 (+ (* -81/32 (* (pow a 3) (pow c 3))) (* -81/128 (* (pow a 3) (pow c 3))))) (* 405/4 (* (pow a 3) (pow c 3))))) (pow b 6)))))) |
(* -2/3 (/ b a)) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (* 2/3 (/ 1 a))))) |
(* -1 (* b (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a)))))) |
(* -1 (* b (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 6))) (+ (* -1/2 (/ c (pow b 2))) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 4))) (* 2/3 (/ 1 a))))))) |
(+ (log 3/2) (log (/ -1 b))) |
(+ (log 3/2) (+ (log (/ -1 b)) (* 3/4 (/ (* a c) (pow b 2))))) |
(+ (log 3/2) (+ (log (/ -1 b)) (+ (* 1/24 (/ (+ (* -27/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 3/4 (/ (* a c) (pow b 2)))))) |
(+ (log 3/2) (+ (log (/ -1 b)) (+ (* 1/720 (/ (+ (* -1215/2 (* (pow a 3) (pow c 3))) (+ (* -480 (+ (* -81/32 (* (pow a 3) (pow c 3))) (* -81/128 (* (pow a 3) (pow c 3))))) (* 405/4 (* (pow a 3) (pow c 3))))) (pow b 6))) (+ (* 1/24 (/ (+ (* -27/4 (* (pow a 2) (pow c 2))) (* 27 (* (pow a 2) (pow c 2)))) (pow b 4))) (* 3/4 (/ (* a c) (pow b 2))))))) |
(* -2 b) |
(* -1 (* b (+ 2 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 2 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 2 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* -1 b) |
(* -1 (* b (+ 1 (* -3/2 (/ (* a c) (pow b 2)))))) |
(* -1 (* b (+ 1 (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4))))))) |
(* -1 (* b (+ 1 (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 6))) (+ (* -3/2 (/ (* a c) (pow b 2))) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 4)))))))) |
(* 3/2 (/ (* a c) b)) |
(* -1 (/ (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -27/16 (/ (* (pow a 3) (pow c 3)) (pow b 4))) (+ (* -3/2 (* a c)) (+ (* -9/8 (/ (* (pow a 2) (pow c 2)) (pow b 2))) (* -1/2 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (pow b 6)))))) b)) |
(* 1/2 (/ c b)) |
(* -1 (/ (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2)))) b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (* -3/8 (/ (* a (pow c 2)) (pow b 2))))) b)) |
(* -1 (/ (+ (* -9/16 (/ (* (pow a 2) (pow c 3)) (pow b 4))) (+ (* -1/2 c) (+ (* -3/8 (/ (* a (pow c 2)) (pow b 2))) (* -1/6 (/ (+ (* 81/64 (* (pow a 4) (pow c 4))) (* 81/16 (* (pow a 4) (pow c 4)))) (* a (pow b 6))))))) b)) |
(* (sqrt b) (sqrt -1)) |
(+ (* -3/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (* (sqrt b) (sqrt -1))) |
(+ (* -3/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2)))))))) |
(+ (* -3/4 (* (* a (* c (sqrt -1))) (sqrt (/ 1 (pow b 3))))) (+ (* (sqrt b) (sqrt -1)) (+ (* (sqrt (/ 1 (pow b 7))) (* (sqrt -1) (+ (* -9/8 (* (pow a 2) (pow c 2))) (* 9/32 (* (pow a 2) (pow c 2)))))) (* (sqrt (/ 1 (pow b 11))) (* (sqrt -1) (+ (* -9/4 (* (pow a 3) (pow c 3))) (+ (* -9/128 (* (pow a 3) (pow c 3))) (* 27/32 (* (pow a 3) (pow c 3)))))))))) |
(* c (+ (* -1/2 (/ a b)) (* -3/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -9/16 (/ (* (pow a 3) c) (pow b 5))) (* -3/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -1/2 (/ a b)) (* c (+ (* -3/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -9/16 (/ (pow a 3) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(* -1 (+ (log (* -2 (/ b a))) (* -1 (log c)))) |
(+ (* -1 (+ (log (* -2 (/ b a))) (* -1 (log c)))) (* 3/4 (/ (* a c) (pow b 2)))) |
(+ (* -1 (+ (log (* -2 (/ b a))) (* -1 (log c)))) (* c (+ (* -1/2 (* c (+ (* -9/16 (/ (pow a 2) (pow b 4))) (/ (* a (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) b)))) (* 3/4 (/ a (pow b 2)))))) |
(+ (* -1 (+ (log (* -2 (/ b a))) (* -1 (log c)))) (* c (+ (* 3/4 (/ a (pow b 2))) (* c (+ (* -1/2 (+ (* -9/16 (/ (pow a 2) (pow b 4))) (/ (* a (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) b))) (* -1/6 (* c (+ (* -27/32 (/ (pow a 3) (pow b 6))) (+ (* 9/4 (/ (* (pow a 2) (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) (pow b 3))) (* 3 (/ (* a (+ (* -3/4 (/ (* a (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 27/16 (/ (pow a 2) (pow b 5)))))) b))))))))))) |
(* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b)))) |
(* c (- (* c (+ (* -3/8 (/ a (pow b 3))) (* c (+ (* -9/16 (/ (pow a 2) (pow b 5))) (* -1/6 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (* a b))))))) (* 1/2 (/ 1 b)))) |
(+ (log (* -2 (/ b a))) (* -1 (log c))) |
(+ (log (* -2 (/ b a))) (+ (* -1 (log c)) (* -3/4 (/ (* a c) (pow b 2))))) |
(+ (log (* -2 (/ b a))) (+ (* -1 (log c)) (* c (+ (* -3/4 (/ a (pow b 2))) (* 1/2 (* c (+ (* -9/16 (/ (pow a 2) (pow b 4))) (/ (* a (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) b)))))))) |
(+ (log (* -2 (/ b a))) (+ (* -1 (log c)) (* c (+ (* -3/4 (/ a (pow b 2))) (* c (+ (* 1/6 (* c (+ (* -27/32 (/ (pow a 3) (pow b 6))) (+ (* 9/4 (/ (* (pow a 2) (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) (pow b 3))) (* 3 (/ (* a (+ (* -3/4 (/ (* a (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) (pow a 2))) (* 27/16 (/ (pow a 2) (pow b 5)))))) b)))))) (* 1/2 (+ (* -9/16 (/ (pow a 2) (pow b 4))) (/ (* a (+ (* -9/4 (/ a (pow b 3))) (* 9/8 (/ a (pow b 3))))) b))))))))) |
(* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3))))))) |
(* c (+ (* -3/2 (/ a b)) (* c (+ (* -9/8 (/ (pow a 2) (pow b 3))) (* c (+ (* -27/16 (/ (pow a 3) (pow b 5))) (* -1/2 (/ (* c (+ (* 81/64 (/ (pow a 4) (pow b 6))) (* 81/16 (/ (pow a 4) (pow b 6))))) b)))))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ b (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* -9/8 (/ (* (pow a 2) c) (pow b 3)))))) |
(+ (* 2 b) (* c (+ (* -3/2 (/ a b)) (* c (+ (* -27/16 (/ (* (pow a 3) c) (pow b 5))) (* -9/8 (/ (pow a 2) (pow b 3)))))))) |
(+ (* -1/2 (/ c b)) (* 2/3 (/ b a))) |
(+ (* 2/3 (/ b a)) (* c (- (* -3/8 (/ (* a c) (pow b 3))) (* 1/2 (/ 1 b))))) |
(+ (* 2/3 (/ b a)) (* c (- (* c (+ (* -9/16 (/ (* (pow a 2) c) (pow b 5))) (* -3/8 (/ a (pow b 3))))) (* 1/2 (/ 1 b))))) |
(+ (* c (+ (* -3/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -9/8 (/ (pow a 2) (pow b 4))) (* 9/32 (/ (pow a 2) (pow b 4))))))))) (* (pow 1 1/4) (sqrt b))) |
(+ (* c (+ (* -3/4 (* (pow 1 1/4) (* a (sqrt (/ 1 (pow b 3)))))) (* c (+ (* (pow 1 1/4) (* (sqrt b) (* c (+ (* -9/4 (/ (pow a 3) (pow b 6))) (+ (* -9/128 (/ (pow a 3) (pow b 6))) (* 27/32 (/ (pow a 3) (pow b 6)))))))) (* (pow 1 1/4) (* (sqrt b) (+ (* -9/8 (/ (pow a 2) (pow b 4))) (* 9/32 (/ (pow a 2) (pow b 4)))))))))) (* (pow 1 1/4) (sqrt b))) |
(* c (+ (* -1/3 (/ b c)) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b c)) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ a c)) (sqrt -3))))))) |
(* -1 (+ (log (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (log (/ 1 c)))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) (* -1 (+ (log (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (log (/ 1 c))))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) (+ (* -1 (+ (log (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (log (/ 1 c)))) (* -1/2 (/ (+ (* -1 (/ (* (pow b 2) c) (* a (pow (sqrt -3) 2)))) (* -2/3 (* (sqrt (/ a c)) (* (sqrt -3) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))))))) (pow c 2))))) |
(+ (* -1 (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))) (+ (* -1 (+ (log (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (log (/ 1 c)))) (+ (* -1/2 (/ (+ (* -1 (/ (* (pow b 2) c) (* a (pow (sqrt -3) 2)))) (* -2/3 (* (sqrt (/ a c)) (* (sqrt -3) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))))))) (pow c 2))) (* -1/6 (/ (+ (* -2 (* (sqrt (/ a c)) (* (sqrt -3) (+ (* 3/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3))))))) (+ (* 2 (* b (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 3) (pow (sqrt -3) 3)))))) (pow c 3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3)))))) |
(* c (+ (* -1/3 (/ b (* a c))) (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))))))) |
(+ (log (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (log (/ 1 c))) |
(+ (log (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (+ (log (/ 1 c)) (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3))))) |
(+ (log (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (+ (log (/ 1 c)) (+ (* 1/2 (/ (+ (* -1 (/ (* (pow b 2) c) (* a (pow (sqrt -3) 2)))) (* -2/3 (* (sqrt (/ a c)) (* (sqrt -3) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))))))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3)))))) |
(+ (log (* 3 (* (sqrt (/ c a)) (/ 1 (sqrt -3))))) (+ (log (/ 1 c)) (+ (* 1/6 (/ (+ (* -2 (* (sqrt (/ a c)) (* (sqrt -3) (+ (* 3/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt -3) 4)))) (* (sqrt (/ c a)) (/ (* b (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))))) (sqrt -3))))))) (+ (* 2 (* b (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 3) (pow (sqrt -3) 3)))))) (pow c 3))) (+ (* 1/2 (/ (+ (* -1 (/ (* (pow b 2) c) (* a (pow (sqrt -3) 2)))) (* -2/3 (* (sqrt (/ a c)) (* (sqrt -3) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (pow b 2) (pow (sqrt -3) 3))))))))) (pow c 2))) (* (sqrt (/ 1 (* a c))) (/ b (sqrt -3))))))) |
(* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))) (/ b c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b 6) (pow (sqrt -3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (* (sqrt (/ a c)) (sqrt -3)))))) |
(* c (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* (sqrt (/ a c)) (sqrt -3)) (/ b c))))) |
(* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))) |
(* c (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c)))))) |
(* c (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b 4) (pow (sqrt -3) 3)))) (+ (* 1/6 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b 2) (sqrt -3)))) (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (sqrt -3))) (* 1/3 (/ b (* a c))))))) |
(exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) |
(+ (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c))))))) (* a c))) (/ (* (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2))))) (pow c 2)))) |
(+ (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c))))))) (* a c))) (+ (/ (* (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2))))) (pow c 2)) (/ (* (exp (* 1/4 (+ (log (* -3 a)) (* -1 (log (/ 1 c)))))) (+ (* -1/324 (/ (pow b 6) (pow a 3))) (+ (* -1/10368 (/ (pow b 6) (pow a 3))) (* 1/864 (/ (pow b 6) (pow a 3)))))) (pow c 3))))) |
(* c (+ (* -3 a) (/ (pow b 2) c))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 b) (* -1/6 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 b)) c)) (* 1/3 (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (+ (log (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) (log (/ -1 c)))) |
(+ (* -1 (+ (log (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) (log (/ -1 c)))) (* (sqrt (/ 1 (* a c))) (/ (* b (sqrt -1)) (sqrt 3)))) |
(+ (* -1 (+ (log (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) (log (/ -1 c)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (sqrt -1)) (sqrt 3)))) (* 1/2 (/ (+ (* -2/3 (* (sqrt (/ a c)) (* (sqrt -1) (* (sqrt 3) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))))) (/ (* (pow b 2) c) (* a (pow (sqrt 3) 2)))) c))) c))) |
(+ (* -1 (+ (log (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) (log (/ -1 c)))) (* -1 (/ (+ (* -1 (* (sqrt (/ c a)) (/ (* b (sqrt -1)) (sqrt 3)))) (* -1 (/ (+ (* -1/2 (+ (* -2/3 (* (sqrt (/ a c)) (* (sqrt -1) (* (sqrt 3) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))))) (/ (* (pow b 2) c) (* a (pow (sqrt 3) 2))))) (* 1/6 (/ (+ (* -2 (* (sqrt (/ a c)) (* (sqrt -1) (* (sqrt 3) (+ (* 3/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt 3) 4)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))))))) (+ (* 2 (* b (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (pow (sqrt 3) 3)))))) c))) c))) c))) |
(* -1 (* c (+ (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3)))) (* 1/3 (/ b (* a c)))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/3 (/ b a)) (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* -1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(+ (log (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) (log (/ -1 c))) |
(+ (log (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) (+ (log (/ -1 c)) (* -1 (* (sqrt (/ 1 (* a c))) (/ (* b (sqrt -1)) (sqrt 3)))))) |
(+ (log (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) (+ (log (/ -1 c)) (* -1 (/ (+ (* -1/2 (/ (+ (* -2/3 (* (sqrt (/ a c)) (* (sqrt -1) (* (sqrt 3) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))))) (/ (* (pow b 2) c) (* a (pow (sqrt 3) 2)))) c)) (* (sqrt (/ c a)) (/ (* b (sqrt -1)) (sqrt 3)))) c)))) |
(+ (log (* 3 (* (sqrt (/ c a)) (/ (sqrt -1) (sqrt 3))))) (+ (log (/ -1 c)) (* -1 (/ (+ (* -1 (/ (+ (* -1/6 (/ (+ (* -2 (* (sqrt (/ a c)) (* (sqrt -1) (* (sqrt 3) (+ (* 3/2 (/ (* (pow b 3) (pow c 2)) (* (pow a 2) (pow (sqrt 3) 4)))) (* (sqrt (/ c a)) (/ (* b (* (sqrt -1) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (sqrt 3)))))))) (+ (* 2 (* b (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))) (* 2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 3) (sqrt -1)) (pow (sqrt 3) 3)))))) c)) (* 1/2 (+ (* -2/3 (* (sqrt (/ a c)) (* (sqrt -1) (* (sqrt 3) (+ (* -3 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3)))) (* 3/2 (* (sqrt (/ (pow c 3) (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (pow (sqrt 3) 3))))))))) (/ (* (pow b 2) c) (* a (pow (sqrt 3) 2)))))) c)) (* (sqrt (/ c a)) (/ (* b (sqrt -1)) (sqrt 3)))) c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))) (/ b c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) b) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (* (pow b 6) (sqrt -1)) (pow (sqrt 3) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))))) |
(* -1 (* c (+ (* -1 (/ b c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1/2 (* (sqrt (/ 1 (* a c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1 (/ (+ b (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/2 (* (sqrt (/ c a)) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c))) c)) (* (sqrt (/ a c)) (* (sqrt -1) (sqrt 3)))))) |
(* -1 (* c (+ (* -1/3 (/ b (* a c))) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) (* a c)))) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2))))) c)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/864 (/ (pow b 6) (pow a 3))) (+ (* 1/10368 (/ (pow b 6) (pow a 3))) (* 1/324 (/ (pow b 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2)))))) c)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
| Outputs |
|---|
(* -1/2 (/ (* a c) b)) |
(*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64)) |
(* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a) |
(* a (+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a) |
(* -1 (+ (log (* -2 (/ b c))) (* -1 (log a)))) |
(fma.f64 (log.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64))) #s(literal -1 binary64) (log.f64 a)) |
(+ (* -1 (+ (log (* -2 (/ b c))) (* -1 (log a)))) (* 3/4 (/ (* a c) (pow b 2)))) |
(fma.f64 (/.f64 #s(literal 3/4 binary64) b) (/.f64 (*.f64 c a) b) (fma.f64 (log.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64))) #s(literal -1 binary64) (log.f64 a))) |
(+ (* -1 (+ (log (* -2 (/ b c))) (* -1 (log a)))) (* a (+ (* -1/2 (* a (+ (* -9/16 (/ (pow c 2) (pow b 4))) (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) b)))) (* 3/4 (/ c (pow b 2)))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 3/4 binary64) b) (/.f64 c b) (*.f64 (*.f64 #s(literal -1/2 binary64) a) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64)) c) b)))) a (fma.f64 (log.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64))) #s(literal -1 binary64) (log.f64 a))) |
(+ (* -1 (+ (log (* -2 (/ b c))) (* -1 (log a)))) (* a (+ (* 3/4 (/ c (pow b 2))) (* a (+ (* -1/2 (+ (* -9/16 (/ (pow c 2) (pow b 4))) (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) b))) (* -1/6 (* a (+ (* -27/32 (/ (pow c 3) (pow b 6))) (+ (* 9/4 (/ (* (pow c 2) (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) (pow b 3))) (* 3 (/ (* c (+ (* -3/4 (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 27/16 (/ (pow c 2) (pow b 5)))))) b))))))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) a) (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/32 binary64) (fma.f64 (*.f64 c (/.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64)) c) b) (fma.f64 (/.f64 #s(literal -2/3 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) c) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) b)) #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64)) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) #s(literal 9/4 binary64)))) (*.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64)) c) b)) #s(literal -1/2 binary64))) a (*.f64 (/.f64 c (*.f64 b b)) #s(literal 3/4 binary64))) a (fma.f64 (log.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64))) #s(literal -1 binary64) (log.f64 a))) |
(* -1/2 (/ c b)) |
(*.f64 (/.f64 c b) #s(literal -1/2 binary64)) |
(+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))) |
(fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))) |
(fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (* -1/2 (/ c b)) (* a (+ (* -3/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -9/16 (/ (pow c 3) (pow b 5))) (* -1/6 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b))))))) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/6 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -3/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(+ (log (* -2 (/ b c))) (* -1 (log a))) |
(-.f64 (log.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64))) (log.f64 a)) |
(+ (log (* -2 (/ b c))) (+ (* -1 (log a)) (* -3/4 (/ (* a c) (pow b 2))))) |
(+.f64 (-.f64 (log.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64))) (log.f64 a)) (*.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 c a) b))) |
(+ (log (* -2 (/ b c))) (+ (* -1 (log a)) (* a (+ (* -3/4 (/ c (pow b 2))) (* 1/2 (* a (+ (* -9/16 (/ (pow c 2) (pow b 4))) (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) b)))))))) |
(+.f64 (-.f64 (log.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64))) (log.f64 a)) (*.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 c b) (*.f64 (*.f64 #s(literal 1/2 binary64) a) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64)) c) b)))) a)) |
(+ (log (* -2 (/ b c))) (+ (* -1 (log a)) (* a (+ (* -3/4 (/ c (pow b 2))) (* a (+ (* 1/6 (* a (+ (* -27/32 (/ (pow c 3) (pow b 6))) (+ (* 9/4 (/ (* (pow c 2) (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) (pow b 3))) (* 3 (/ (* c (+ (* -3/4 (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) (pow b 2))) (+ (* -2/3 (/ (* b (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) (pow c 2))) (* 27/16 (/ (pow c 2) (pow b 5)))))) b)))))) (* 1/2 (+ (* -9/16 (/ (pow c 2) (pow b 4))) (/ (* c (+ (* -9/4 (/ c (pow b 3))) (* 9/8 (/ c (pow b 3))))) b))))))))) |
(+.f64 (-.f64 (log.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64))) (log.f64 a)) (*.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 1/6 binary64) a) (fma.f64 (/.f64 (pow.f64 c #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal -27/32 binary64) (fma.f64 (*.f64 c (/.f64 (fma.f64 (/.f64 #s(literal -3/4 binary64) b) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64)) c) b) (fma.f64 (/.f64 #s(literal -2/3 binary64) c) (/.f64 (*.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b) c) (/.f64 (*.f64 #s(literal 27/16 binary64) (*.f64 c c)) (pow.f64 b #s(literal 5 binary64))))) b)) #s(literal 3 binary64) (*.f64 (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64)) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64))) #s(literal 9/4 binary64)))) (*.f64 #s(literal 1/2 binary64) (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 4 binary64))) #s(literal -9/16 binary64) (/.f64 (*.f64 (*.f64 (/.f64 c (pow.f64 b #s(literal 3 binary64))) #s(literal -9/8 binary64)) c) b)))) a (*.f64 #s(literal -3/4 binary64) (/.f64 c (*.f64 b b)))) a)) |
(* 2/3 (/ b a)) |
(*.f64 (/.f64 b a) #s(literal 2/3 binary64)) |
(/ 2/3 a) |
(/.f64 #s(literal 2/3 binary64) a) |
(* -3/2 (/ (* a c) b)) |
(*.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b)) |
(* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3))))) |
(*.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3))))))) |
(*.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
(* a (+ (* -3/2 (/ c b)) (* a (+ (* -9/8 (/ (pow c 2) (pow b 3))) (* a (+ (* -27/16 (/ (pow c 3) (pow b 5))) (* -1/2 (/ (* a (+ (* 81/64 (/ (pow c 4) (pow b 6))) (* 81/16 (/ (pow c 4) (pow b 6))))) b)))))))) |
(*.f64 (fma.f64 (fma.f64 (fma.f64 (*.f64 a (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 405/64 binary64)) b)) #s(literal -1/2 binary64) (/.f64 (*.f64 #s(literal -27/16 binary64) (pow.f64 c #s(literal 3 binary64))) (pow.f64 b #s(literal 5 binary64)))) a (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a) |
b |
(+ b (* -3/2 (/ (* a c) b))) |
(fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b) b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b) |
(+ b (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a b) |
(* 2 b) |
(*.f64 #s(literal 2 binary64) b) |
(+ (* -3/2 (/ (* a c) b)) (* 2 b)) |
(fma.f64 #s(literal -3/2 binary64) (/.f64 (*.f64 c a) b) (*.f64 #s(literal 2 binary64) b)) |
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* -9/8 (/ (* a (pow c 2)) (pow b 3)))))) |
(fma.f64 (fma.f64 #s(literal -9/8 binary64) (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a (*.f64 #s(literal 2 binary64) b)) |
(+ (* 2 b) (* a (+ (* -3/2 (/ c b)) (* a (+ (* -27/16 (/ (* a (pow c 3)) (pow b 5))) (* -9/8 (/ (pow c 2) (pow b 3)))))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal -27/16 binary64) (/.f64 (*.f64 (pow.f64 c #s(literal 3 binary64)) a) (pow.f64 b #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -9/8 binary64) (*.f64 c c)) (pow.f64 b #s(literal 3 binary64)))) a (*.f64 #s(literal -3/2 binary64) (/.f64 c b))) a (*.f64 #s(literal 2 binary64) b)) |
(/ (+ (* -1/2 (/ (* a c) b)) (* 2/3 b)) a) |
(/.f64 (fma.f64 #s(literal 2/3 binary64) b (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* -3/8 (/ (* a (pow c 2)) (pow b 3)))))) a) |
(/.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 c c) a) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 #s(literal 2/3 binary64) b)) a) |
(/ (+ (* 2/3 b) (* a (+ (* -1/2 (/ c b)) (* a (+ (* -9/16 (/ (* a (pow c 3)) (pow b 5))) (* -3/8 (/ (pow c 2) (pow b 3)))))))) a) |
(/.f64 (fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 c c) (pow.f64 b #s(literal 3 binary64))) #s(literal -3/8 binary64) (/.f64 (*.f64 #s(literal -9/16 binary64) (*.f64 (pow.f64 c #s(literal 3 binary64)) a)) (pow.f64 b #s(literal 5 binary64)))) a (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) a (*.f64 #s(literal 2/3 binary64) b)) a) |
(* (pow 1 1/4) (sqrt b)) |
(sqrt.f64 b) |
(+ (* -3/4 (* (pow 1 1/4) (* (* a c) (sqrt (/ 1 (pow b 3)))))) (* (pow 1 1/4) (sqrt b))) |
(fma.f64 (*.f64 #s(literal -3/4 binary64) (*.f64 c a)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (pow.f64 b #s(literal 3 binary64)))) (sqrt.f64 b)) |
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(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (/.f64 (/.f64 b a) c) #s(literal -1/3 binary64)))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1/6 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3)))) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (-.f64 (*.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64)))) (/.f64 (fma.f64 (*.f64 #s(literal -1/6 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 3 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))) (*.f64 #s(literal 1/3 binary64) (/.f64 b a))) c))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/24 (* (sqrt (/ 1 (* (pow a 5) c))) (/ (* (pow b 4) (sqrt -1)) (pow (sqrt 3) 3)))) (* 1/6 (* (sqrt (/ c (pow a 3))) (/ (* (pow b 2) (sqrt -1)) (sqrt 3))))) c)) (* 1/3 (/ b a))) c)) (* 1/3 (* (sqrt (/ 1 (* a c))) (* (sqrt -1) (sqrt 3))))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 #s(literal 1/3 binary64) (sqrt.f64 (/.f64 (/.f64 #s(literal 1 binary64) a) c))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) (sqrt.f64 #s(literal -1 binary64))) (/.f64 (fma.f64 #s(literal 1/3 binary64) (/.f64 b a) (/.f64 (fma.f64 (*.f64 #s(literal -1/24 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) c)))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b #s(literal 4 binary64))) (*.f64 (sqrt.f64 #s(literal 3 binary64)) #s(literal 3 binary64))) (*.f64 (*.f64 #s(literal 1/6 binary64) (sqrt.f64 (/.f64 c (pow.f64 a #s(literal 3 binary64))))) (/.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b b)) (sqrt.f64 #s(literal 3 binary64))))) (neg.f64 c))) (neg.f64 c)))) |
(exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) |
(pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 3 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) (* a c)))) |
(fma.f64 (/.f64 #s(literal -1/12 binary64) c) (*.f64 (*.f64 b b) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 3 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) a)) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 3 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c))))) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2))))) c)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 3 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 3 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) a)) #s(literal 1/12 binary64) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 3 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (neg.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a)) #s(literal -1/96 binary64)) c)))) c)) |
(+ (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/864 (/ (pow b 6) (pow a 3))) (+ (* 1/10368 (/ (pow b 6) (pow a 3))) (* 1/324 (/ (pow b 6) (pow a 3)))))) c)) (* (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c)))))) (+ (* -1/72 (/ (pow b 4) (pow a 2))) (* 1/288 (/ (pow b 4) (pow a 2)))))) c)) (* 1/12 (/ (* (pow b 2) (exp (* 1/4 (+ (log (* 3 a)) (* -1 (log (/ -1 c))))))) a))) c))) |
(-.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 3 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (/.f64 (fma.f64 (*.f64 (*.f64 b b) (/.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 3 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) a)) #s(literal 1/12 binary64) (/.f64 (fma.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 3 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (neg.f64 (/.f64 (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (pow.f64 a #s(literal 3 binary64))) #s(literal 7/3456 binary64)) c)) (*.f64 (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (-.f64 (log.f64 (*.f64 #s(literal 3 binary64) a)) (log.f64 (/.f64 #s(literal -1 binary64) c)))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 a a)) #s(literal -1/96 binary64)))) (neg.f64 c))) c)) |
(* -1 (* c (+ (* -1 (/ (pow b 2) c)) (* 3 a)))) |
(*.f64 (neg.f64 c) (fma.f64 #s(literal 3 binary64) a (/.f64 (*.f64 b b) (neg.f64 c)))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 342 |
| 0 | 88 | 312 |
| 1 | 310 | 305 |
| 2 | 1837 | 304 |
| 0 | 8779 | 304 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) #s(literal -1 binary64))) |
(*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) #s(literal -1 binary64)) |
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) #s(literal -1 binary64))) a) |
(log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 2/3 binary64) a))) |
(*.f64 b (/.f64 #s(literal 2/3 binary64) a)) |
(/.f64 #s(literal 2/3 binary64) a) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
(-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) |
#s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) |
(*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) |
(-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) |
(sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a)) |
(sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) |
(sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) |
(-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b) |
#s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64))) |
(fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)) |
| Outputs |
|---|
(*.f64 (/.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))))) |
(*.f64 (/.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) |
(*.f64 (/.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) #s(literal 3 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))))) |
(*.f64 (/.f64 (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) #s(literal 3 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (-.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 b b))) #s(literal -1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 3 binary64) (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 3 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (neg.f64 (log.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 1/2 binary64)) (pow.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 1/2 binary64))) |
(*.f64 #s(literal -1/3 binary64) (pow.f64 (pow.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) |
(*.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (/.f64 (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) |
(*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) #s(literal 1/3 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) |
(pow.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 3 binary64)) #s(literal 3 binary64)) (*.f64 (pow.f64 b #s(literal 3 binary64)) #s(literal 1/27 binary64))) (fma.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 3 binary64)) (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 b #s(literal 1/3 binary64)) #s(literal 2 binary64)) (*.f64 (/.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 3 binary64)) (*.f64 b #s(literal 1/3 binary64)))))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (/.f64 #s(literal 3 binary64) b)) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) (/.f64 #s(literal 3 binary64) b))) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal -3 binary64)) (*.f64 #s(literal 3 binary64) (neg.f64 b))) #s(literal -9 binary64)) |
(/.f64 (-.f64 (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 3 binary64)) (*.f64 #s(literal 3 binary64) b)) #s(literal 9 binary64)) |
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal -3 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))))) |
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 #s(literal 3 binary64))) (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 3 binary64) (fma.f64 b b (+.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 3/2 binary64)) (pow.f64 b #s(literal 3 binary64)))) (neg.f64 (*.f64 #s(literal 3 binary64) (fma.f64 b (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) #s(literal 3 binary64)) |
(/.f64 (neg.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) (neg.f64 (*.f64 #s(literal 3 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))))) |
(/.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 b b))) (neg.f64 (*.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) |
(/.f64 (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (*.f64 #s(literal 3 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) |
(/.f64 (-.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 b b)) (*.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (neg.f64 (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b))) (-.f64 (*.f64 b b) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 3 binary64) (+.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) (-.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) (*.f64 b b)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)) #s(literal 1 binary64))) |
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(*.f64 (pow.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) #s(literal 1 binary64)) (pow.f64 (pow.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) b) b))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 3/4 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) |
(*.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64))) (pow.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (pow.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) b) b))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 3/4 binary64))) |
(*.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64)) #s(literal 4 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 2 binary64)) |
(pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (/.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (*.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (/.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (fma.f64 (*.f64 c a) #s(literal 3 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 (*.f64 a #s(literal 3 binary64)) c) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b))) (/.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b))) (fma.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b))) (*.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) (neg.f64 (neg.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) b) b)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (*.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)))) (*.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 3 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b))) (*.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b)) (pow.f64 b #s(literal 4 binary64)))) (*.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)))) (neg.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64)))) (neg.f64 (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) b) b))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64)))) (neg.f64 (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) b) b))))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64))) (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) |
(/.f64 (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64))) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) |
(/.f64 (-.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)) (pow.f64 b #s(literal 4 binary64))) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) (-.f64 (pow.f64 b #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) b) b))) (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (+.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) b) b)))) |
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) |
(/.f64 (fma.f64 #s(literal -27 binary64) (pow.f64 (*.f64 c a) #s(literal 3 binary64)) (pow.f64 b #s(literal 6 binary64))) (fma.f64 (pow.f64 (*.f64 c a) #s(literal 2 binary64)) #s(literal 9 binary64) (-.f64 (pow.f64 b #s(literal 4 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) b) b)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))))) |
(fma.f64 (exp.f64 (log.f64 b)) (exp.f64 (log.f64 b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) |
(fma.f64 (*.f64 (neg.f64 b) #s(literal -1 binary64)) b (*.f64 (*.f64 c #s(literal -3 binary64)) a)) |
(fma.f64 (neg.f64 c) (*.f64 a #s(literal 3 binary64)) (*.f64 b b)) |
(fma.f64 #s(literal 1 binary64) (*.f64 b b) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) |
(fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 b b)) |
(fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) |
(fma.f64 (*.f64 c a) #s(literal -3 binary64) (*.f64 b b)) |
(fma.f64 (neg.f64 b) (neg.f64 b) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) |
(fma.f64 (*.f64 a #s(literal 3 binary64)) (neg.f64 c) (*.f64 b b)) |
(fma.f64 (*.f64 b b) #s(literal 1 binary64) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) |
(fma.f64 #s(literal -1 binary64) (*.f64 b (neg.f64 b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 a #s(literal 3 binary64)) c) (*.f64 b b)) |
(fma.f64 b b (*.f64 (*.f64 c #s(literal -3 binary64)) a)) |
(fma.f64 c (*.f64 a #s(literal -3 binary64)) (*.f64 b b)) |
(fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)) |
(fma.f64 #s(literal -3 binary64) (*.f64 c a) (*.f64 b b)) |
(fma.f64 #s(literal 3 binary64) (neg.f64 (*.f64 c a)) (*.f64 b b)) |
(sqrt.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) (/.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)) (-.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b))) (/.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)))) |
(-.f64 (/.f64 (pow.f64 b #s(literal 6 binary64)) (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64)))) (/.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 3 binary64)) (fma.f64 (*.f64 (*.f64 a #s(literal 3 binary64)) c) (fma.f64 (*.f64 c a) #s(literal 3 binary64) (*.f64 b b)) (pow.f64 b #s(literal 4 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) #s(literal 2 binary64)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b))) (/.f64 (pow.f64 b #s(literal 4 binary64)) (fma.f64 (*.f64 a #s(literal -3 binary64)) c (*.f64 (neg.f64 b) b)))) |
(-.f64 (*.f64 b b) (*.f64 (*.f64 a #s(literal 3 binary64)) c)) |
(fabs.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) |
(exp.f64 (*.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)) #s(literal 1/4 binary64))) #s(literal 4 binary64))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b)))) |
(+.f64 (*.f64 (*.f64 c #s(literal -3 binary64)) a) (*.f64 b b)) |
(+.f64 (*.f64 b b) (*.f64 (*.f64 c #s(literal -3 binary64)) a)) |
Compiled 60 141 to 5 895 computations (90.2% saved)
57 alts after pruning (45 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 329 | 18 | 1 347 |
| Fresh | 8 | 27 | 35 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 9 | 9 |
| Total | 1 339 | 57 | 1 396 |
| Status | Accuracy | Program |
|---|---|---|
| 16.3% | (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(approx (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (*.f64 #s(literal -3 binary64) c)) (log.f64 a)))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 48.5% | (/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) a) | |
| 36.0% | (/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) | |
| 34.9% | (/.f64 (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) b) a) #s(literal 3 binary64)) | |
| ✓ | 51.7% | (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 3 binary64)) a) |
| ✓ | 36.4% | (/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 3 binary64)) |
| ✓ | 36.1% | (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
| 36.4% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b))) #s(literal 3 binary64)) | |
| 36.0% | (/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) a) | |
| ✓ | 51.6% | (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
| 36.3% | (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) | |
| 25.1% | (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) | |
| 36.4% | (/.f64 (*.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))) (sqrt.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))) (neg.f64 b)) #s(literal 1/3 binary64)) a) | |
| ✓ | 36.4% | (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) |
| 36.4% | (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) | |
| 34.7% | (/.f64 (*.f64 (-.f64 (exp.f64 (log.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))))) b) #s(literal 1/3 binary64)) a) | |
| 8.2% | (/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 a b)) c)) #s(literal 1/3 binary64)) a) | |
| ✓ | 51.6% | (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
| ✓ | 23.3% | (/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) a) |
| 11.5% | (/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal -1 binary64))) #s(literal -3/2 binary64)) c))) a) | |
| 32.3% | (/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) #s(literal -1 binary64))) a) | |
| 48.5% | (/.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) a) | |
| 6.1% | (/.f64 (exp.f64 #s(approx (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1) (fma.f64 (log.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64))) #s(literal -1 binary64) (log.f64 a)))) a) | |
| 35.0% | (/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) a)))) #s(literal 3 binary64)) | |
| 23.3% | (/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) | |
| 36.0% | (/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 #s(literal -2/3 binary64) b)) a) | |
| 36.0% | (/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))) (*.f64 a #s(literal 3 binary64))) | |
| 8.1% | (/.f64 #s(approx (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b))) (*.f64 #s(literal 3 binary64) a)) | |
| 23.6% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) c)) b)) (*.f64 #s(literal 3 binary64) a)) | |
| ✓ | 23.3% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
| 8.2% | (/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) a) c)) (*.f64 #s(literal 3 binary64) a)) | |
| 23.6% | (/.f64 #s(approx (exp (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1)) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a) | |
| 35.9% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) | |
| 36.3% | (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) | |
| 26.3% | #s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -1/2 binary64) c)) b)) | |
| 31.3% | #s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) | |
| 35.0% | #s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 8.2% | #s(approx (/ (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) | |
| 2.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal 3/2 binary64)))) | |
| 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 #s(literal -3/2 binary64) a))) | |
| 2.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b))) | |
| 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 a b)))) | |
| ✓ | 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
| 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a)))) | |
| 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) | |
| 2.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 (neg.f64 b) #s(literal 2/3 binary64)) (/.f64 #s(literal -1 binary64) a))) | |
| 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal 2/3 binary64) b) (/.f64 #s(literal -1 binary64) a))) | |
| 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) | |
| 2.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3/2 binary64))))) | |
| ✓ | 2.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 2/3 binary64) a))) |
| 1.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (exp.f64 (*.f64 (log.f64 (*.f64 a #s(literal 3/2 binary64))) #s(literal -1 binary64))))) | |
| ✓ | 2.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (/.f64 b a))) |
| 1.5% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 b a))))))) | |
| ✓ | 36.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| 2.8% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))) | |
| 16.0% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))) | |
| 18.1% | #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) #s(literal -1 binary64)))) |
Compiled 3 742 to 1 459 computations (61% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 #s(literal -3/2 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal 2/3 binary64) b) a)) |
#s(approx (/ (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal 2/3 binary64) b) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 (neg.f64 b) #s(literal 2/3 binary64)) (/.f64 #s(literal -1 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 a b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 2/3 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b))) |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) |
(/.f64 #s(approx (exp (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1)) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) |
(/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal 2/3 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) a) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) c)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) a) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 a b)) c)) #s(literal 1/3 binary64)) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) a) |
(*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 b a)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) a)))) #s(literal 3 binary64)) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/8 binary64)) (/.f64 (*.f64 c c) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
#s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (/.f64 (fma.f64 (/.f64 #s(literal -3/8 binary64) b) (/.f64 (*.f64 (*.f64 c c) a) b) (*.f64 #s(literal -1/2 binary64) c)) b)) |
(/.f64 #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (neg.f64 b) (fma.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) (/.f64 c b) #s(literal 2 binary64)))) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b))) #s(literal 3 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b))) #s(literal 3 binary64)) |
(/.f64 (+.f64 (neg.f64 b) (/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 (fma.f64 b b (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) #s(literal 1/3 binary64)) (*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) a)) |
(/.f64 (*.f64 (fma.f64 (sqrt.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))) (sqrt.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a)))) (neg.f64 b)) #s(literal 1/3 binary64)) a) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) b) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) (sqrt.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b)))) b) a) #s(literal 3 binary64)) |
(*.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (/.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) (*.f64 (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 3 binary64)) a))) |
(/.f64 (pow.f64 a #s(literal -1 binary64)) (/.f64 #s(literal 3 binary64) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (exp.f64 (*.f64 (log.f64 (*.f64 a #s(literal 3/2 binary64))) #s(literal -1 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (pow.f64 a #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -3/2 binary64) b) #s(literal -1 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (exp.f64 (*.f64 (log.f64 (*.f64 #s(literal -3/2 binary64) (/.f64 a b))) #s(literal -1 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (exp.f64 (*.f64 (log.f64 (/.f64 a b)) #s(literal -1 binary64))))) |
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) #s(literal -1 binary64))) a) |
(/.f64 (*.f64 (-.f64 (exp.f64 (log.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (exp.f64 (*.f64 (log.f64 (/.f64 b a)) #s(literal -1 binary64))) #s(literal -3/2 binary64)) c))) a) |
(/.f64 (exp.f64 (log.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) a) |
(/.f64 (-.f64 (exp.f64 (log.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (exp.f64 (log.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) a) c (*.f64 b b))) b))) #s(literal -1 binary64))) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (/.f64 b a) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (/.f64 b a))))))) |
(/.f64 (exp.f64 #s(approx (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1) (fma.f64 (log.f64 (*.f64 (/.f64 b c) #s(literal -2 binary64))) #s(literal -1 binary64) (log.f64 a)))) a) |
(/.f64 (pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 (/.f64 #s(literal 3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 c #s(literal -3 binary64)) a (*.f64 b b))) b)))) a) |
(/.f64 (fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(approx (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (pow.f64 (exp.f64 #s(literal 1/4 binary64)) (+.f64 (log.f64 (*.f64 #s(literal -3 binary64) c)) (log.f64 a)))) b) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
5 calls:
| 35.0ms | (*.f64 #s(literal 3 binary64) a) |
| 30.0ms | c |
| 28.0ms | b |
| 28.0ms | a |
| 23.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.7% | 1 | a |
| 83.7% | 3 | b |
| 51.7% | 1 | c |
| 75.6% | 5 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 51.7% | 1 | (*.f64 #s(literal 3 binary64) a) |
Compiled 23 to 26 computations (-13% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 #s(literal -3/2 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal 2/3 binary64) b) a)) |
#s(approx (/ (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal 2/3 binary64) b) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 (neg.f64 b) #s(literal 2/3 binary64)) (/.f64 #s(literal -1 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 a b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 2/3 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b))) |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) |
(/.f64 #s(approx (exp (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1)) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) |
(/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal 2/3 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) a) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) c)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) a) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 a b)) c)) #s(literal 1/3 binary64)) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) a) |
(*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 b a)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (*.f64 (-.f64 b (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b)))) #s(literal 1/3 binary64))) |
(/.f64 #s(literal 1/3 binary64) (/.f64 a (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b))) |
(/.f64 #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -3/2 binary64) (/.f64 #s(literal 2 binary64) a)))) #s(literal 3 binary64)) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
1 calls:
| 22.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.7% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 #s(literal -3/2 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal 2/3 binary64) b) a)) |
#s(approx (/ (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal 2/3 binary64) b) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 (neg.f64 b) #s(literal 2/3 binary64)) (/.f64 #s(literal -1 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 a b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 2/3 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b))) |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) |
(/.f64 #s(approx (exp (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1)) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) |
(/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal 2/3 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) a) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) c)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) a) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 a b)) c)) #s(literal 1/3 binary64)) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) a) |
(*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 b a)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 (/.f64 c b) b) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
1 calls:
| 20.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.7% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 #s(literal -3/2 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal 2/3 binary64) b) a)) |
#s(approx (/ (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal 2/3 binary64) b) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 (neg.f64 b) #s(literal 2/3 binary64)) (/.f64 #s(literal -1 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 a b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 2/3 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b))) |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) |
(/.f64 #s(approx (exp (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1)) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) |
(/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal 2/3 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) a) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) c)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) a) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 a b)) c)) #s(literal 1/3 binary64)) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) a) |
(*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 b a)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
1 calls:
| 19.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.7% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 #s(literal -3/2 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal 2/3 binary64) b) a)) |
#s(approx (/ (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal 2/3 binary64) b) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 (neg.f64 b) #s(literal 2/3 binary64)) (/.f64 #s(literal -1 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 a b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 2/3 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b))) |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) |
(/.f64 #s(approx (exp (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1)) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) |
(/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal 2/3 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) a) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) c)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) a) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 a b)) c)) #s(literal 1/3 binary64)) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) a) |
(*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 b a)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
(*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
1 calls:
| 15.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 83.6% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 #s(literal -3/2 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal 2/3 binary64) b) a)) |
#s(approx (/ (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal 2/3 binary64) b) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 (neg.f64 b) #s(literal 2/3 binary64)) (/.f64 #s(literal -1 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 a b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 2/3 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b))) |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) |
(/.f64 #s(approx (exp (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1)) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) |
(/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal 2/3 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) a) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) c)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) a) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 a b)) c)) #s(literal 1/3 binary64)) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) a) |
(*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
#s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 #s(literal -3 binary64) (*.f64 c a))))) (*.f64 #s(literal 3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 (neg.f64 a) b)) (*.f64 (neg.f64 a) (neg.f64 a))))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (/.f64 #s(literal -3/2 binary64) (/.f64 b a)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (+.f64 (neg.f64 b) #s(approx (sqrt (- (* b b) (* (* 3 a) c))) (fma.f64 (*.f64 #s(literal -3/2 binary64) c) (/.f64 a b) b))) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
1 calls:
| 17.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 81.0% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 #s(literal -3/2 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal 2/3 binary64) b) a)) |
#s(approx (/ (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal 2/3 binary64) b) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 (neg.f64 b) #s(literal 2/3 binary64)) (/.f64 #s(literal -1 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 a b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 2/3 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b))) |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) |
(/.f64 #s(approx (exp (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1)) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) |
(/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal 2/3 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) a) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) c)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) a) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 a b)) c)) #s(literal 1/3 binary64)) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) a) |
(*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (*.f64 #s(literal 3 binary64) a)) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
1 calls:
| 18.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.8% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 #s(literal -3/2 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal 2/3 binary64) b) a)) |
#s(approx (/ (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal 2/3 binary64) b) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 (neg.f64 b) #s(literal 2/3 binary64)) (/.f64 #s(literal -1 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 a b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 2/3 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b))) |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) |
(/.f64 #s(approx (exp (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1)) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) |
(/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal 2/3 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) a) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) c)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) a) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 a b)) c)) #s(literal 1/3 binary64)) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) a) |
(*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) a) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
(/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
1 calls:
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.8% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 #s(literal -3/2 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal 2/3 binary64) b) a)) |
#s(approx (/ (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal 2/3 binary64) b) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 (neg.f64 b) #s(literal 2/3 binary64)) (/.f64 #s(literal -1 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 a b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 2/3 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b))) |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) |
(/.f64 #s(approx (exp (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1)) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) |
(/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal 2/3 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) a) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) c)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) a) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 a b)) c)) #s(literal 1/3 binary64)) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) a) |
(*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64)) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
1 calls:
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.8% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 #s(literal -3/2 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal 2/3 binary64) b) a)) |
#s(approx (/ (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal 2/3 binary64) b) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 (neg.f64 b) #s(literal 2/3 binary64)) (/.f64 #s(literal -1 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 a b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 2/3 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b))) |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) |
(/.f64 #s(approx (exp (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1)) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) |
(/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal 2/3 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) a) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) c)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) a) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 a b)) c)) #s(literal 1/3 binary64)) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) a) |
(*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
(*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
1 calls:
| 13.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.8% | 3 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 #s(literal -3/2 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal 2/3 binary64) b) a)) |
#s(approx (/ (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal 2/3 binary64) b) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 (neg.f64 b) #s(literal 2/3 binary64)) (/.f64 #s(literal -1 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 a b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 2/3 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b))) |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) a) #s(literal 3 binary64)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) b) (neg.f64 a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3 binary64)) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) |
(/.f64 #s(approx (exp (* (log (/ 3 (- (sqrt (+ (* (* -3 a) c) (* b b))) b))) -1)) (*.f64 (/.f64 (*.f64 c a) b) #s(literal -1/2 binary64))) a) |
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) |
(/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 (*.f64 (/.f64 a b) #s(literal -1/2 binary64)) c)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal -2/3 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (/.f64 a b) #s(literal 2/3 binary64)))) |
(/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) |
(/.f64 (+.f64 (neg.f64 b) (sqrt.f64 #s(approx (- (* b b) (* (* 3 a) c)) (*.f64 b b)))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 #s(literal 3/2 binary64) b) a) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (/.f64 (*.f64 a (*.f64 #s(literal -3/2 binary64) c)) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 #s(approx (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (*.f64 #s(literal 3/2 binary64) (/.f64 (*.f64 c a) b))) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (*.f64 #s(literal 1/3 binary64) #s(approx (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (*.f64 (*.f64 (/.f64 a b) #s(literal -3/2 binary64)) c))) a) |
(/.f64 (*.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 (*.f64 #s(literal 3/2 binary64) (/.f64 a b)) c)) #s(literal 1/3 binary64)) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 3 binary64) (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b))) a) |
| Outputs |
|---|
(/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
2 calls:
| 12.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 12.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 49.7% | 3 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 64.7% | 2 | b |
Compiled 18 to 15 computations (16.7% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 #s(literal -3/2 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal 2/3 binary64) b) a)) |
#s(approx (/ (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a) |
(/.f64 #s(approx (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (*.f64 (/.f64 #s(literal -1 binary64) a) b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 1 binary64) (*.f64 a #s(literal 3/2 binary64))))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 #s(literal 2/3 binary64) b) (/.f64 #s(literal -1 binary64) a))) |
(/.f64 #s(approx (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (*.f64 #s(literal -2 binary64) b)) (*.f64 #s(literal 3 binary64) a)) |
(/.f64 (-.f64 #s(approx (sqrt (+ (* (* -3 c) a) (* b b))) (neg.f64 b)) b) (*.f64 a #s(literal 3 binary64))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal -2/3 binary64) (/.f64 a b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (*.f64 (neg.f64 b) #s(literal 2/3 binary64)) (/.f64 #s(literal -1 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal -3/2 binary64) (/.f64 a b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 #s(literal 2/3 binary64) b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a #s(literal 3/2 binary64)) b))) |
| Outputs |
|---|
(/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
1 calls:
| 7.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.6% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 #s(literal -3/2 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 a #s(literal 3/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 (*.f64 #s(literal 2/3 binary64) b) a)) |
#s(approx (/ (+ (* (sqrt (sqrt (+ (* (* -3 c) a) (* b b)))) (sqrt (sqrt (+ (* (* -3 c) a) (* b b))))) b) (* 3 a)) (*.f64 #s(literal 1/2 binary64) (/.f64 c b))) |
#s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
#s(approx (/ (/ (- (sqrt (+ (* a (* c -3)) (* b b))) b) 3) a) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 #s(literal -3/2 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
1 calls:
| 5.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.6% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal 2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal -2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 b (/.f64 #s(literal 2/3 binary64) a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 #s(literal -2/3 binary64) a) b)) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))) |
1 calls:
| 3.0ms | b |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.6% | 2 | b |
Compiled 1 to 3 computations (-200% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| Outputs |
|---|
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
5 calls:
| 1.0ms | (*.f64 #s(literal 3 binary64) a) |
| 1.0ms | c |
| 1.0ms | b |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 1.0ms | a |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.0% | 1 | (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) |
| 36.0% | 1 | a |
| 36.0% | 1 | (*.f64 #s(literal 3 binary64) a) |
| 36.0% | 1 | c |
| 36.0% | 1 | b |
Compiled 23 to 26 computations (-13% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 3.556823782167065e-79 | 1.445272976205478e-74 |
| 13.0ms | -2.4407384668313695e+135 | -4.1296411421623035e+134 |
| 15.0ms | 183× | 0 | valid |
| 3.0ms | 24× | 1 | valid |
| 3.0ms | 17× | 2 | valid |
| 3.0ms | 34× | 0 | invalid |
Compiled 528 to 432 computations (18.2% saved)
ival-mult: 5.0ms (32.4% of total)ival-div: 2.0ms (13% of total)ival-sqrt: 2.0ms (13% of total)adjust: 1.0ms (6.5% of total)ival-sub: 1.0ms (6.5% of total)ival-add: 1.0ms (6.5% of total)ival-neg: 1.0ms (6.5% 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 | 3.556823782167065e-79 | 1.445272976205478e-74 |
| 1.0ms | -2.4407384668313695e+135 | -4.1296411421623035e+134 |
Compiled 556 to 432 computations (22.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.556823782167065e-79 | 1.445272976205478e-74 |
| 1.0ms | -2.4407384668313695e+135 | -4.1296411421623035e+134 |
Compiled 528 to 432 computations (18.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.556823782167065e-79 | 1.445272976205478e-74 |
| 1.0ms | -2.4407384668313695e+135 | -4.1296411421623035e+134 |
Compiled 528 to 432 computations (18.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.556823782167065e-79 | 1.445272976205478e-74 |
| 1.0ms | -2.4407384668313695e+135 | -4.1296411421623035e+134 |
Compiled 528 to 432 computations (18.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 7.0ms | 3.556823782167065e-79 | 1.445272976205478e-74 |
| 26.0ms | -1.504179122242509e-20 | -3.264068098368395e-34 |
| 19.0ms | 177× | 0 | valid |
| 2.0ms | 29× | 0 | invalid |
| 2.0ms | 11× | 1 | valid |
| 1.0ms | 4× | 2 | valid |
Compiled 900 to 708 computations (21.3% saved)
ival-mult: 4.0ms (34.1% of total)ival-div: 2.0ms (17.1% of total)ival-sqrt: 2.0ms (17.1% of total)ival-sub: 1.0ms (8.5% of total)ival-add: 1.0ms (8.5% of total)ival-neg: 1.0ms (8.5% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.556823782167065e-79 | 1.445272976205478e-74 |
| 1.0ms | -1.504179122242509e-20 | -3.264068098368395e-34 |
Compiled 790 to 638 computations (19.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.556823782167065e-79 | 1.445272976205478e-74 |
| 1.0ms | -1.504179122242509e-20 | -3.264068098368395e-34 |
Compiled 790 to 638 computations (19.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.556823782167065e-79 | 1.445272976205478e-74 |
| 1.0ms | -1.504179122242509e-20 | -3.264068098368395e-34 |
Compiled 790 to 638 computations (19.2% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 3.556823782167065e-79 | 1.445272976205478e-74 |
| 3.0ms | -1.504179122242509e-20 | -3.264068098368395e-34 |
Compiled 790 to 638 computations (19.2% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 30.0ms | -1.5651476749186422e-294 | 1.6697157633969334e-294 |
| 14.0ms | 176× | 0 | valid |
| 7.0ms | 89× | 0 | invalid |
Compiled 482 to 381 computations (21% saved)
ival-mult: 5.0ms (40.5% of total)ival-div: 2.0ms (16.2% of total)ival-sqrt: 2.0ms (16.2% of total)ival-add: 1.0ms (8.1% of total)ival-sub: 1.0ms (8.1% of total)ival-neg: 1.0ms (8.1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.5651476749186422e-294 | 1.6697157633969334e-294 |
Compiled 493 to 392 computations (20.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.5651476749186422e-294 | 1.6697157633969334e-294 |
Compiled 526 to 392 computations (25.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1.5651476749186422e-294 | 1.6697157633969334e-294 |
Compiled 526 to 392 computations (25.5% saved)
| 1× | egg-herbie |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 131 | 914 |
| 1 | 167 | 913 |
| 2 | 197 | 913 |
| 3 | 214 | 913 |
| 4 | 225 | 913 |
| 5 | 229 | 913 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b #s(literal -2199999999999999948303443328079225070287307389846575762301211481966514799305684476245717037572622965681711953078893449349674424703385600 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 3666664757402075/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -2100000000000000097372029886286339252087837281388315178202621916264827355624707712589526605003480707562392846128593260510096722032066560 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 3666664757402075/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -2100000000000000097372029886286339252087837281388315178202621916264827355624707712589526605003480707562392846128593260510096722032066560 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 3666664757402075/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -2100000000000000097372029886286339252087837281388315178202621916264827355624707712589526605003480707562392846128593260510096722032066560 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 3666664757402075/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -2100000000000000097372029886286339252087837281388315178202621916264827355624707712589526605003480707562392846128593260510096722032066560 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 3666664757402075/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -6576757367989063/365375409332725729550921208179070754913983135744 binary64)) #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) (if (<=.f64 b #s(literal 5703700733736561/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -6576757367989063/365375409332725729550921208179070754913983135744 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 5703700733736561/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -6576757367989063/365375409332725729550921208179070754913983135744 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 5703700733736561/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -6576757367989063/365375409332725729550921208179070754913983135744 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 5703700733736561/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -6576757367989063/365375409332725729550921208179070754913983135744 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 5703700733736561/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 #s(literal -3/2 binary64) a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
| Outputs |
|---|
(if (<=.f64 b #s(literal -2199999999999999948303443328079225070287307389846575762301211481966514799305684476245717037572622965681711953078893449349674424703385600 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 3666664757402075/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 c #s(literal -3 binary64)) (*.f64 b b))) b) #s(literal 3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -2199999999999999948303443328079225070287307389846575762301211481966514799305684476245717037572622965681711953078893449349674424703385600 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 3666664757402075/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (/.f64 (/.f64 (-.f64 (sqrt.f64 (fma.f64 a (*.f64 #s(literal -3 binary64) c) (*.f64 b b))) b) #s(literal 3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -2100000000000000097372029886286339252087837281388315178202621916264827355624707712589526605003480707562392846128593260510096722032066560 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 3666664757402075/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (/.f64 (+.f64 (neg.f64 b) (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c)))) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -2100000000000000097372029886286339252087837281388315178202621916264827355624707712589526605003480707562392846128593260510096722032066560 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 3666664757402075/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b b) (*.f64 (*.f64 #s(literal 3 binary64) a) c))) b) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -2100000000000000097372029886286339252087837281388315178202621916264827355624707712589526605003480707562392846128593260510096722032066560 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 3666664757402075/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 a #s(literal 3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -2100000000000000097372029886286339252087837281388315178202621916264827355624707712589526605003480707562392846128593260510096722032066560 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 3666664757402075/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (/.f64 (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b) (*.f64 #s(literal 3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -2100000000000000097372029886286339252087837281388315178202621916264827355624707712589526605003480707562392846128593260510096722032066560 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 3666664757402075/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -2100000000000000097372029886286339252087837281388315178202621916264827355624707712589526605003480707562392846128593260510096722032066560 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 3666664757402075/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -2100000000000000097372029886286339252087837281388315178202621916264827355624707712589526605003480707562392846128593260510096722032066560 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 3666664757402075/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -2100000000000000097372029886286339252087837281388315178202621916264827355624707712589526605003480707562392846128593260510096722032066560 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 3666664757402075/509258994083621521567111422102344540262867098416484062659035112338595324940834176545849344 binary64)) (*.f64 (/.f64 #s(literal 1/3 binary64) a) (-.f64 (sqrt.f64 (fma.f64 (*.f64 #s(literal -3 binary64) c) a (*.f64 b b))) b)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -6576757367989063/365375409332725729550921208179070754913983135744 binary64)) #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (neg.f64 b) (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)))) (if (<=.f64 b #s(literal 5703700733736561/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -6576757367989063/365375409332725729550921208179070754913983135744 binary64)) #s(approx (/ (- (sqrt (+ (* (* -3 c) a) (* b b))) b) (* a 3)) (*.f64 (fma.f64 (/.f64 c (*.f64 b b)) #s(literal -1/2 binary64) (/.f64 #s(literal 2/3 binary64) a)) (neg.f64 b))) (if (<=.f64 b #s(literal 5703700733736561/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -6576757367989063/365375409332725729550921208179070754913983135744 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 5703700733736561/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c #s(literal -3 binary64)) a))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -6576757367989063/365375409332725729550921208179070754913983135744 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 5703700733736561/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 #s(literal -3 binary64) c) a))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -6576757367989063/365375409332725729550921208179070754913983135744 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 5703700733736561/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (/.f64 (*.f64 #s(literal 1/3 binary64) (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 #s(literal -3 binary64) (*.f64 a c)))) b)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -6576757367989063/365375409332725729550921208179070754913983135744 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 5703700733736561/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (/.f64 (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) #s(literal 1/3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -6576757367989063/365375409332725729550921208179070754913983135744 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 5703700733736561/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -6576757367989063/365375409332725729550921208179070754913983135744 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 5703700733736561/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (*.f64 (/.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) a) #s(literal 1/3 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -6576757367989063/365375409332725729550921208179070754913983135744 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 5703700733736561/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b))))) |
(if (<=.f64 b #s(literal -6576757367989063/365375409332725729550921208179070754913983135744 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) (if (<=.f64 b #s(literal 5703700733736561/1018517988167243043134222844204689080525734196832968125318070224677190649881668353091698688 binary64)) (*.f64 (-.f64 (sqrt.f64 #s(approx (+ (* (* -3 c) a) (* b b)) (*.f64 (*.f64 c a) #s(literal -3 binary64)))) b) (/.f64 #s(literal 1/3 binary64) a)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64))))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (/.f64 (-.f64 #s(approx (sqrt (+ (* a (* c -3)) (* b b))) (neg.f64 b)) b) #s(literal 3 binary64)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 #s(approx (* 1/3 (- (sqrt (+ (* (* -3 c) a) (* b b))) b)) (*.f64 #s(literal -2/3 binary64) b)) a) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 #s(literal -3/2 binary64) a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (/.f64 b (*.f64 #s(literal -3/2 binary64) a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -1/2 binary64) (/.f64 c b)))) |
(if (<=.f64 b #s(literal -20240225330731/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) #s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 c b) #s(literal -1/2 binary64)))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 #s(literal -2/3 binary64) (/.f64 b a))) |
#s(approx (/ (+ (neg b) (sqrt (- (* b b) (* (* 3 a) c)))) (* 3 a)) (*.f64 (/.f64 b a) #s(literal -2/3 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 560 | 3039 |
| 1 | 1767 | 3016 |
| 2 | 6229 | 2973 |
| 0 | 8276 | 2825 |
| 0 | 12 | 51 |
| 0 | 20 | 51 |
| 1 | 71 | 49 |
| 2 | 525 | 48 |
| 3 | 6836 | 48 |
| 0 | 8125 | 44 |
| 0 | 789 | 4933 |
| 1 | 2604 | 4886 |
| 0 | 8473 | 4653 |
| 0 | 55 | 342 |
| 0 | 88 | 312 |
| 1 | 310 | 305 |
| 2 | 1837 | 304 |
| 0 | 8779 | 304 |
| 0 | 36 | 188 |
| 0 | 55 | 188 |
| 1 | 195 | 182 |
| 2 | 1349 | 182 |
| 0 | 9651 | 182 |
| 0 | 47 | 274 |
| 0 | 69 | 266 |
| 1 | 257 | 262 |
| 2 | 1616 | 262 |
| 0 | 8500 | 262 |
| 0 | 790 | 4936 |
| 1 | 2607 | 4889 |
| 0 | 8481 | 4656 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 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 2 406 to 1 060 computations (55.9% saved)
Compiled 1 860 to 278 computations (85.1% saved)
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