
Time bar (total: 9.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.1% | 0% | 0% | 0% | 6 |
| 42.6% | 40.6% | 54.6% | 0.1% | 0% | 4.7% | 0% | 7 |
| 51.2% | 48.4% | 46% | 0.1% | 0% | 5.5% | 0% | 8 |
| 54.5% | 49.9% | 41.7% | 0.1% | 0% | 8.2% | 0% | 9 |
| 60.2% | 53.4% | 35.3% | 0.1% | 0% | 11.1% | 0% | 10 |
| 67.6% | 58.7% | 28.2% | 0.1% | 0% | 13% | 0% | 11 |
| 71.4% | 60.6% | 24.2% | 0.1% | 0% | 15.1% | 0% | 12 |
Compiled 15 to 12 computations (20% saved)
| 495.0ms | 5 538× | 0 | valid |
| 259.0ms | 1 218× | 2 | valid |
| 201.0ms | 1 344× | 1 | valid |
| 76.0ms | 1 071× | 0 | invalid |
| 37.0ms | 156× | 3 | valid |
ival-mult: 182.0ms (23.5% of total)ival-sub: 154.0ms (19.9% of total)ival-sqrt: 125.0ms (16.1% of total)adjust: 100.0ms (12.9% of total)ival-div: 90.0ms (11.6% of total)ival-add: 68.0ms (8.8% of total)ival-neg: 46.0ms (5.9% of total)ival-true: 6.0ms (0.8% of total)ival-assert: 3.0ms (0.4% of total)| 1× | egg-herbie |
| 986× | div-sub |
| 756× | times-frac |
| 416× | lower-fma.f64 |
| 416× | lower-fma.f32 |
| 416× | associate-/r* |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 118 |
| 1 | 114 | 111 |
| 2 | 245 | 109 |
| 3 | 674 | 109 |
| 4 | 1757 | 109 |
| 5 | 3192 | 109 |
| 6 | 3780 | 109 |
| 7 | 3870 | 109 |
| 8 | 3962 | 109 |
| 9 | 3994 | 109 |
| 10 | 3994 | 109 |
| 0 | 10 | 13 |
| 0 | 17 | 13 |
| 1 | 28 | 12 |
| 2 | 45 | 12 |
| 3 | 74 | 12 |
| 4 | 113 | 12 |
| 5 | 189 | 12 |
| 6 | 319 | 12 |
| 7 | 464 | 12 |
| 8 | 807 | 12 |
| 9 | 920 | 12 |
| 10 | 952 | 12 |
| 11 | 963 | 12 |
| 12 | 964 | 12 |
| 0 | 964 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))) b_2) a) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 96 | 0 | - | 2 | (1.2732634758301146e-56 -2.888154637342535e-177 -4.49393222956401e-263) | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
| 60 | 0 | - | 0 | - | (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) |
| 15 | 0 | - | 1 | (-7.79971893877779e-153 1.2625241838621437e+105 1.096702157580054e-61) | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 2 | 0 | - | 0 | - | (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
| 0 | 0 | - | 0 | - | (*.f64 b_2 b_2) |
| 0 | 0 | - | 0 | - | a |
| 0 | 0 | - | 0 | - | (neg.f64 b_2) |
| 0 | 0 | - | 0 | - | b_2 |
| 0 | 0 | - | 0 | - | (*.f64 a c) |
| 0 | 0 | - | 0 | - | c |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) | oflow-rescue | 85 | 0 |
| ↳ | (*.f64 b_2 b_2) | overflow | 74 | |
| ↳ | (*.f64 a c) | overflow | 21 | |
| ↳ | (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) | overflow | 85 | |
+.f64 | (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) | cancellation | 60 | 0 |
/.f64 | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) | u/n | 14 | 0 |
| ↳ | (*.f64 b_2 b_2) | underflow | 51 | |
| ↳ | (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) | underflow | 24 | |
| ↳ | (*.f64 a c) | underflow | 34 | |
| ↳ | (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) | underflow | 9 | |
sqrt.f64 | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) | uflow-rescue | 9 | 0 |
| ↳ | (*.f64 b_2 b_2) | underflow | 51 | |
| ↳ | (*.f64 a c) | underflow | 34 | |
| ↳ | (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) | underflow | 9 | |
-.f64 | (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) | nan-rescue | 2 | 0 |
| ↳ | (*.f64 b_2 b_2) | overflow | 74 | |
| ↳ | (*.f64 a c) | overflow | 21 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 125 | 2 |
| - | 12 | 117 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 125 | 0 | 2 |
| - | 12 | 0 | 117 |
| number | freq |
|---|---|
| 0 | 119 |
| 1 | 106 |
| 2 | 29 |
| 3 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 31.0ms | 346× | 0 | valid |
| 20.0ms | 90× | 2 | valid |
| 10.0ms | 74× | 1 | valid |
| 0.0ms | 2× | 3 | valid |
Compiled 136 to 44 computations (67.6% saved)
ival-neg: 8.0ms (20% of total)ival-mult: 7.0ms (17.5% of total)ival-sqrt: 6.0ms (15% of total)adjust: 6.0ms (15% of total)ival-div: 5.0ms (12.5% of total)ival-sub: 4.0ms (10% of total)ival-add: 4.0ms (10% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 53.0% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
Compiled 16 to 10 computations (37.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
| ✓ | cost-diff | 0 | (neg.f64 b_2) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) |
| 416× | lower-fma.f64 |
| 416× | lower-fma.f32 |
| 264× | lower-*.f32 |
| 260× | lower-*.f64 |
| 142× | div-sub |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 50 |
| 0 | 17 | 50 |
| 1 | 28 | 48 |
| 2 | 45 | 48 |
| 3 | 74 | 48 |
| 4 | 113 | 48 |
| 5 | 189 | 48 |
| 6 | 319 | 48 |
| 7 | 464 | 48 |
| 8 | 807 | 48 |
| 9 | 920 | 48 |
| 10 | 952 | 48 |
| 11 | 963 | 48 |
| 12 | 964 | 48 |
| 0 | 964 | 48 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) |
(neg.f64 b_2) |
b_2 |
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(*.f64 b_2 b_2) |
(*.f64 a c) |
a |
c |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))) b_2) a) |
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) |
(-.f64 (sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))) b_2) |
(neg.f64 b_2) |
b_2 |
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
(sqrt.f64 (fma.f64 a (neg.f64 c) (*.f64 b_2 b_2))) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) |
(*.f64 b_2 b_2) |
(*.f64 a c) |
a |
c |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.4% | (-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
| ✓ | accuracy | 94.7% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| ✓ | accuracy | 78.4% | (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) |
| ✓ | accuracy | 65.4% | (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
| 12.0ms | 173× | 0 | valid |
| 10.0ms | 45× | 2 | valid |
| 5.0ms | 37× | 1 | valid |
| 0.0ms | 1× | 3 | valid |
Compiled 52 to 12 computations (76.9% saved)
ival-sqrt: 3.0ms (19.2% of total)ival-div: 3.0ms (19.2% of total)ival-mult: 3.0ms (19.2% of total)ival-sub: 2.0ms (12.8% of total)adjust: 2.0ms (12.8% of total)ival-add: 2.0ms (12.8% of total)ival-neg: 1.0ms (6.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))))> |
#<alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a)> |
#<alt (neg.f64 b_2)> |
#<alt (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))> |
#<alt (-.f64 (*.f64 b_2 b_2) (*.f64 a c))> |
| Outputs |
|---|
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1/2 (/ (* a c) b_2))> |
#<alt (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)> |
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)> |
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)> |
#<alt (* -2 b_2)> |
#<alt (* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2))))))> |
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))> |
#<alt (* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))> |
#<alt (* -1/2 (/ (* a c) b_2))> |
#<alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))> |
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))> |
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))> |
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))> |
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))> |
#<alt (* -1/2 (/ (* a c) b_2))> |
#<alt (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))> |
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))> |
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))> |
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))> |
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)> |
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)> |
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)> |
#<alt (* -2 (/ b_2 a))> |
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a)))))> |
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a))))))> |
#<alt (* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a)))))))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))> |
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))> |
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))> |
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))> |
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))> |
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))> |
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 b_2)> |
#<alt (* -1 b_2)> |
#<alt (* -1 b_2)> |
#<alt (* -1 b_2)> |
#<alt (* -1 b_2)> |
#<alt (* -1 b_2)> |
#<alt (* -1 b_2)> |
#<alt (* -1 b_2)> |
#<alt (* -1 b_2)> |
#<alt (* -1 b_2)> |
#<alt (* -1 b_2)> |
#<alt (* -1 b_2)> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))> |
#<alt b_2> |
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))> |
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))> |
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))> |
#<alt (* -1 b_2)> |
#<alt (* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))))> |
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))))> |
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))))> |
#<alt b_2> |
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))> |
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))> |
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))> |
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))> |
#<alt b_2> |
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))> |
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))> |
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))> |
#<alt (* -1 (* a c))> |
#<alt (- (pow b_2 2) (* a c))> |
#<alt (- (pow b_2 2) (* a c))> |
#<alt (- (pow b_2 2) (* a c))> |
#<alt (pow b_2 2)> |
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))> |
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))> |
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))> |
#<alt (pow b_2 2)> |
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))> |
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))> |
#<alt (* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))> |
#<alt (pow b_2 2)> |
#<alt (+ (* -1 (* a c)) (pow b_2 2))> |
#<alt (+ (* -1 (* a c)) (pow b_2 2))> |
#<alt (+ (* -1 (* a c)) (pow b_2 2))> |
#<alt (* -1 (* a c))> |
#<alt (* a (- (/ (pow b_2 2) a) c))> |
#<alt (* a (- (/ (pow b_2 2) a) c))> |
#<alt (* a (- (/ (pow b_2 2) a) c))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))> |
#<alt (* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c))))> |
#<alt (pow b_2 2)> |
#<alt (+ (* -1 (* a c)) (pow b_2 2))> |
#<alt (+ (* -1 (* a c)) (pow b_2 2))> |
#<alt (+ (* -1 (* a c)) (pow b_2 2))> |
#<alt (* -1 (* a c))> |
#<alt (* c (- (/ (pow b_2 2) c) a))> |
#<alt (* c (- (/ (pow b_2 2) c) a))> |
#<alt (* c (- (/ (pow b_2 2) c) a))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))> |
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))> |
#<alt (* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a))))> |
39 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | b_2 | @ | -inf | (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) |
| 1.0ms | b_2 | @ | inf | (/ (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) a) |
| 1.0ms | b_2 | @ | inf | (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) |
| 1.0ms | b_2 | @ | -inf | (neg b_2) |
| 1.0ms | a | @ | inf | (+ (neg b_2) (sqrt (- (* b_2 b_2) (* a c)))) |
| 1× | batch-egg-rewrite |
| 3 984× | lower-fma.f64 |
| 3 984× | lower-fma.f32 |
| 2 962× | lower-*.f32 |
| 2 958× | lower-*.f64 |
| 1 432× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 41 |
| 0 | 17 | 41 |
| 1 | 64 | 39 |
| 2 | 463 | 38 |
| 3 | 5888 | 38 |
| 0 | 8611 | 34 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(neg.f64 b_2) |
(sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) #s(literal -1 binary64))) |
(+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) |
(+.f64 b_2 (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64))) |
(+.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2) |
(+.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) |
(+.f64 (/.f64 (*.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))) |
(+.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 0 binary64)) b_2) |
(+.f64 (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64)) b_2) |
(+.f64 (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) |
(-.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) |
(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2) |
(-.f64 #s(literal 0 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) |
(-.f64 (/.f64 (*.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) |
(-.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (/.f64 (*.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) |
(-.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))) (/.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c))))) |
(-.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 0 binary64)) b_2) |
(fma.f64 b_2 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) |
(fma.f64 b_2 #s(literal 1 binary64) (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64))) |
(fma.f64 b_2 #s(literal -1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) |
(fma.f64 b_2 #s(literal -1 binary64) (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64))) |
(fma.f64 b_2 (/.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))) |
(fma.f64 (*.f64 b_2 b_2) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))) |
(fma.f64 (*.f64 b_2 b_2) (/.f64 #s(literal 1 binary64) b_2) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) |
(fma.f64 (*.f64 b_2 b_2) (/.f64 #s(literal 1 binary64) b_2) (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64))) |
(fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))) b_2) |
(fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) b_2) |
(fma.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64) b_2) |
(fma.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) |
(fma.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) |
(fma.f64 #s(literal 1 binary64) b_2 (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))) |
(fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) |
(fma.f64 #s(literal -1 binary64) b_2 (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64))) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) b_2) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))) |
(fma.f64 (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))))) b_2) |
(fma.f64 (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))))) b_2) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) b_2) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) b_2) |
(fma.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) (pow.f64 b_2 #s(literal 1/2 binary64)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) |
(fma.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) (pow.f64 b_2 #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64))) |
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) b_2) |
(fma.f64 (/.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c)))) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))) |
(fma.f64 (/.f64 (*.f64 b_2 b_2) (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2)))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))) |
(neg.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) |
(/.f64 (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))) |
(/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) |
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(*.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) |
(*.f64 (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c))))) |
(*.f64 (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))))) |
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(*.f64 (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c))))) |
(*.f64 (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))))) |
(*.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) |
(*.f64 #s(literal -1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) |
(*.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) |
(*.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))) |
(*.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2)))) |
(*.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))))) |
(*.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2)))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))) |
(*.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) |
(*.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c)))) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) |
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(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) b_2) (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (*.f64 (/.f64 #s(literal 1 binary64) a) b_2)) |
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(-.f64 #s(literal 0 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a)) |
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a)) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 a)) (/.f64 b_2 (neg.f64 a))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a)) |
(-.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (neg.f64 a)) (/.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (neg.f64 a))) |
(-.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) a) (/.f64 b_2 a)) |
(-.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) a) (/.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) a)) |
(-.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))) |
(fma.f64 b_2 (/.f64 #s(literal 1 binary64) a) (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 #s(literal 1 binary64) a))) |
(fma.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 #s(literal 1 binary64) a) (*.f64 b_2 (/.f64 #s(literal 1 binary64) a))) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) b_2 (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) |
(fma.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 (/.f64 #s(literal 1 binary64) a) b_2)) |
(neg.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a)) |
(/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a) |
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(/.f64 #s(literal 1 binary64) (/.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) a))) |
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(/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) |
(/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (neg.f64 a))) |
(/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 (neg.f64 a) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) |
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(/.f64 (*.f64 (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) #s(literal -1 binary64)) (*.f64 (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 a))) |
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(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) a)) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) a)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) |
(/.f64 (*.f64 (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal -1 binary64) a)) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))) |
(/.f64 (*.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 #s(literal -1 binary64) a)) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) |
(/.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal -1 binary64)) a) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))) |
(/.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))))) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) |
(pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a) #s(literal 1 binary64)) |
(pow.f64 (/.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) a)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) a)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (*.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))) |
(*.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a) #s(literal 1 binary64)) |
(*.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) |
(*.f64 (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))) a)) |
(*.f64 (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (*.f64 a (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))))) |
(*.f64 (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))) (/.f64 #s(literal 1 binary64) a))) |
(*.f64 (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))) (neg.f64 a))) |
(*.f64 (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c))))) |
(*.f64 (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (*.f64 a (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))))) |
(*.f64 #s(literal 1 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a)) |
(*.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) a)) |
(*.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 #s(literal 1 binary64) (*.f64 a (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))))) |
(*.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (/.f64 #s(literal 1 binary64) a))) |
(*.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (neg.f64 a))) |
(*.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) a) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c))))) |
(*.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) a) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) |
(*.f64 (/.f64 (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))) a)) |
(*.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) a)) |
(*.f64 (/.f64 (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c))) a) (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a) #s(literal 1/2 binary64)) (pow.f64 (/.f64 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) a) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))))) (/.f64 #s(literal 1 binary64) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) a) (fma.f64 (fma.f64 a (neg.f64 c) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 (*.f64 b_2 b_2) (fma.f64 a (neg.f64 c) (*.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) a) (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c)))))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))) |
(*.f64 (/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) a) (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c)))) (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) |
(*.f64 (/.f64 (/.f64 (fma.f64 b_2 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) a) (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2)))) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)))) |
b_2 |
(exp.f64 (*.f64 (log.f64 b_2) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 b_2) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(+.f64 b_2 #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) b_2) |
(-.f64 #s(literal 0 binary64) b_2) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 b_2 b_2)) b_2) |
(-.f64 (/.f64 #s(literal 0 binary64) b_2) b_2) |
(fma.f64 b_2 #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 b_2 #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b_2 b_2) (/.f64 #s(literal 1 binary64) b_2) #s(literal 0 binary64)) |
(fma.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) b_2 #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) b_2 #s(literal 0 binary64)) |
(fma.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) (pow.f64 b_2 #s(literal 1/2 binary64)) #s(literal 0 binary64)) |
(neg.f64 b_2) |
(/.f64 (*.f64 b_2 b_2) b_2) |
(/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 b_2)) |
(/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 b_2)))) |
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 b_2 b_2))) |
(pow.f64 b_2 #s(literal 1 binary64)) |
(pow.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 b_2 (*.f64 b_2 b_2))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 b_2 (*.f64 b_2 b_2)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(*.f64 b_2 #s(literal 1 binary64)) |
(*.f64 b_2 #s(literal -1 binary64)) |
(*.f64 (*.f64 b_2 b_2) (/.f64 #s(literal 1 binary64) b_2)) |
(*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2))) |
(*.f64 #s(literal 1 binary64) b_2) |
(*.f64 #s(literal -1 binary64) b_2) |
(*.f64 (pow.f64 b_2 #s(literal 1/2 binary64)) (pow.f64 b_2 #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 1/4 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/4 binary64) (log.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64)) #s(literal 2 binary64))) |
(+.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) |
(fabs.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) |
(-.f64 #s(literal 0 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) |
(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) |
(fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 0 binary64)) |
(fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 0 binary64)) |
(fma.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 0 binary64)) |
(neg.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) |
(/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) |
(/.f64 #s(literal 1 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))) (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c)))) |
(/.f64 (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))))) (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))))) |
(/.f64 (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))))) (neg.f64 (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c)))))) (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))))) |
(/.f64 (neg.f64 (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c)))))) (neg.f64 (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))))) |
(/.f64 (fma.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 0 binary64)) (+.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (-.f64 #s(literal 0 binary64) (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 0 binary64))))) |
(/.f64 (-.f64 (fma.f64 b_2 b_2 (*.f64 a c)) #s(literal 0 binary64)) (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 0 binary64))) |
(pow.f64 (fma.f64 b_2 b_2 (*.f64 a c)) #s(literal 1/2 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1 binary64)) |
(pow.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1/2 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 1/8 binary64)) |
(pow.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))) (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c)))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))) |
(*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) |
(*.f64 #s(literal -1 binary64) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) |
(*.f64 (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))))) |
(*.f64 (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (sqrt.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))))) |
(*.f64 (neg.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) |
(exp.f64 (log.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) |
(exp.f64 (*.f64 (log.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 1/2 binary64))) |
(exp.f64 (*.f64 (neg.f64 (log.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 2 binary64)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (*.f64 #s(literal 2 binary64) (log.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
(+.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
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(+.f64 (*.f64 a c) (*.f64 b_2 b_2)) |
(+.f64 (*.f64 c (neg.f64 a)) (*.f64 b_2 b_2)) |
(+.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))) (neg.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))))) |
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(+.f64 (neg.f64 (*.f64 c (neg.f64 a))) (*.f64 b_2 b_2)) |
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(hypot.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(hypot.f64 (*.f64 b_2 b_2) (*.f64 c (neg.f64 a))) |
(hypot.f64 (*.f64 b_2 b_2) (pow.f64 (*.f64 a c) #s(literal 1 binary64))) |
(hypot.f64 (*.f64 a c) (*.f64 b_2 b_2)) |
(hypot.f64 (*.f64 c (neg.f64 a)) (*.f64 b_2 b_2)) |
(hypot.f64 (pow.f64 (*.f64 a c) #s(literal 1 binary64)) (*.f64 b_2 b_2)) |
(fabs.f64 (fma.f64 b_2 b_2 (*.f64 a c))) |
(-.f64 (*.f64 b_2 b_2) (*.f64 a c)) |
(-.f64 (*.f64 b_2 b_2) (*.f64 c (neg.f64 a))) |
(-.f64 (*.f64 a c) (*.f64 b_2 b_2)) |
(-.f64 (*.f64 c (neg.f64 a)) (*.f64 b_2 b_2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 a c))) |
(-.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))) (/.f64 (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))))) |
(-.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c)))) |
(sqrt.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))) |
(fma.f64 b_2 b_2 (*.f64 a c)) |
(fma.f64 b_2 b_2 (*.f64 c (neg.f64 a))) |
(fma.f64 b_2 b_2 (neg.f64 (*.f64 c (neg.f64 a)))) |
(fma.f64 b_2 b_2 (*.f64 (neg.f64 a) (neg.f64 c))) |
(fma.f64 b_2 b_2 (*.f64 (neg.f64 c) (neg.f64 a))) |
(fma.f64 b_2 b_2 (*.f64 #s(literal 1 binary64) (*.f64 a c))) |
(fma.f64 b_2 b_2 (*.f64 (neg.f64 (neg.f64 c)) a)) |
(fma.f64 b_2 (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c))))) |
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (*.f64 a c)) |
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (*.f64 c (neg.f64 a))) |
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (neg.f64 (*.f64 c (neg.f64 a)))) |
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (*.f64 (neg.f64 a) (neg.f64 c))) |
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (*.f64 (neg.f64 c) (neg.f64 a))) |
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 a c))) |
(fma.f64 (*.f64 b_2 b_2) #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 c)) a)) |
(fma.f64 (*.f64 b_2 b_2) #s(literal -1 binary64) (*.f64 a c)) |
(fma.f64 (*.f64 b_2 b_2) #s(literal -1 binary64) (*.f64 c (neg.f64 a))) |
(fma.f64 (*.f64 b_2 b_2) #s(literal -1 binary64) (neg.f64 (*.f64 c (neg.f64 a)))) |
(fma.f64 (*.f64 b_2 b_2) #s(literal -1 binary64) (*.f64 (neg.f64 a) (neg.f64 c))) |
(fma.f64 (*.f64 b_2 b_2) #s(literal -1 binary64) (*.f64 (neg.f64 c) (neg.f64 a))) |
(fma.f64 (*.f64 b_2 b_2) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) (*.f64 a c))) |
(fma.f64 (*.f64 b_2 b_2) #s(literal -1 binary64) (*.f64 (neg.f64 (neg.f64 c)) a)) |
(fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 b_2) (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c))))) |
(fma.f64 (*.f64 b_2 b_2) (/.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))) (neg.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))))) |
(fma.f64 a c (*.f64 b_2 b_2)) |
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) |
(fma.f64 c a (*.f64 b_2 b_2)) |
(fma.f64 c (neg.f64 a) (*.f64 b_2 b_2)) |
(fma.f64 (*.f64 a c) #s(literal -1 binary64) (*.f64 b_2 b_2)) |
(fma.f64 (neg.f64 a) c (*.f64 b_2 b_2)) |
(fma.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c))))) |
(fma.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))) (neg.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))))) |
(fma.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))) (neg.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))))) |
(fma.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c))))) |
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(fma.f64 #s(literal 1 binary64) (*.f64 b_2 b_2) (*.f64 a c)) |
(fma.f64 #s(literal 1 binary64) (*.f64 b_2 b_2) (*.f64 c (neg.f64 a))) |
(fma.f64 #s(literal 1 binary64) (*.f64 b_2 b_2) (neg.f64 (*.f64 c (neg.f64 a)))) |
(fma.f64 #s(literal 1 binary64) (*.f64 b_2 b_2) (*.f64 (neg.f64 a) (neg.f64 c))) |
(fma.f64 #s(literal 1 binary64) (*.f64 b_2 b_2) (*.f64 (neg.f64 c) (neg.f64 a))) |
(fma.f64 #s(literal 1 binary64) (*.f64 b_2 b_2) (*.f64 #s(literal 1 binary64) (*.f64 a c))) |
(fma.f64 #s(literal 1 binary64) (*.f64 b_2 b_2) (*.f64 (neg.f64 (neg.f64 c)) a)) |
(fma.f64 #s(literal -1 binary64) (*.f64 b_2 b_2) (*.f64 a c)) |
(fma.f64 #s(literal -1 binary64) (*.f64 b_2 b_2) (*.f64 c (neg.f64 a))) |
(fma.f64 #s(literal -1 binary64) (*.f64 b_2 b_2) (neg.f64 (*.f64 c (neg.f64 a)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 b_2 b_2) (*.f64 (neg.f64 a) (neg.f64 c))) |
(fma.f64 #s(literal -1 binary64) (*.f64 b_2 b_2) (*.f64 (neg.f64 c) (neg.f64 a))) |
(fma.f64 #s(literal -1 binary64) (*.f64 b_2 b_2) (*.f64 #s(literal 1 binary64) (*.f64 a c))) |
(fma.f64 #s(literal -1 binary64) (*.f64 b_2 b_2) (*.f64 (neg.f64 (neg.f64 c)) a)) |
(fma.f64 #s(literal -1 binary64) (*.f64 a c) (*.f64 b_2 b_2)) |
(fma.f64 (neg.f64 c) a (*.f64 b_2 b_2)) |
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 a c)) |
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 c (neg.f64 a))) |
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (neg.f64 (*.f64 c (neg.f64 a)))) |
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 (neg.f64 a) (neg.f64 c))) |
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 (neg.f64 c) (neg.f64 a))) |
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 #s(literal 1 binary64) (*.f64 a c))) |
(fma.f64 (exp.f64 (log.f64 b_2)) (exp.f64 (log.f64 b_2)) (*.f64 (neg.f64 (neg.f64 c)) a)) |
(fma.f64 (*.f64 c #s(literal -1 binary64)) a (*.f64 b_2 b_2)) |
(fma.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c)) (neg.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c))))) |
(fma.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))) (neg.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c))))) |
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(fma.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))) (*.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))) (neg.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))))) |
(neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))) |
(/.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) |
(/.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c)))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))) |
(/.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c)))) (fma.f64 a (*.f64 a (*.f64 c c)) (-.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 b_2 (*.f64 b_2 (*.f64 a c)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))) |
(/.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) (fma.f64 b_2 b_2 (*.f64 a c))) |
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(/.f64 (*.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c)))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))))) (*.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c)))))) |
(/.f64 (*.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c)))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))))) |
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(/.f64 (-.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))) (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 a (*.f64 a (*.f64 c c))))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))) |
(/.f64 (*.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c)))) #s(literal 1 binary64)) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1 binary64)) (fma.f64 b_2 b_2 (*.f64 a c))) |
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(/.f64 (*.f64 (*.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c)))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))))) #s(literal 1 binary64)) (*.f64 (fma.f64 b_2 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))))) (fma.f64 b_2 b_2 (*.f64 a c)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c)))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))))) #s(literal 1 binary64)) (*.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c)))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 1 binary64)) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))) (/.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))) (fma.f64 (/.f64 (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))) (/.f64 (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))) (*.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))) (/.f64 (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))))))) |
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(/.f64 (-.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (fma.f64 b_2 b_2 (*.f64 a c))) |
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(/.f64 (*.f64 (*.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c)))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a c) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))) |
(/.f64 (/.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))))) |
(/.f64 (/.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))) |
(pow.f64 (fma.f64 b_2 b_2 (*.f64 a c)) #s(literal 1 binary64)) |
(pow.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/2 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal -1 binary64)) |
(pow.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 4 binary64)) |
(pow.f64 (*.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal 1/4 binary64)) |
(pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))) |
(*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))) |
(*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) |
(*.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c)))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))))) |
(*.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))))) |
(*.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))))) |
(*.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))) (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))) |
(*.f64 #s(literal -1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))) |
(*.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))) |
(*.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))))) |
(*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (*.f64 (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c)))) (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) |
(*.f64 (*.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) (sqrt.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a c))))) |
(*.f64 (pow.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c)))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))))) |
(*.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))))) (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))) (fma.f64 b_2 b_2 (*.f64 a c))) |
(*.f64 (/.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))) |
(*.f64 (/.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c)))) (fma.f64 (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c))) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c)))) (*.f64 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))))))) (fma.f64 b_2 (*.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))) (-.f64 (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2))))))) |
(*.f64 (/.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (*.f64 a (*.f64 a c)) (*.f64 a (*.f64 c c)))) (*.f64 (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c))))))) (fma.f64 b_2 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (*.f64 c (fma.f64 b_2 b_2 (*.f64 a c)))))) |
| 1× | egg-herbie |
| 11 022× | lower-fma.f64 |
| 11 022× | lower-fma.f32 |
| 7 132× | lower-*.f64 |
| 7 132× | lower-*.f32 |
| 3 498× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 508 | 3200 |
| 1 | 1606 | 3160 |
| 2 | 5520 | 3144 |
| 0 | 8782 | 3008 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (* a c)) (sqrt -1)) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(* -1/2 (/ (* a c) b_2)) |
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2) |
(* -2 b_2) |
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))) |
(* -1/2 (/ (* a c) b_2)) |
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1/2 (/ (* a c) b_2)) |
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5))))))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1/2 (/ c b_2)) |
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2) |
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2) |
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2) |
(* -2 (/ b_2 a)) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a)))))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a))))))) |
(* -1/2 (/ c b_2)) |
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a))) |
(* -1/2 (/ c b_2)) |
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* (sqrt (* a c)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5))))))))) |
b_2 |
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))) |
(* -1 b_2) |
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))) |
b_2 |
(+ b_2 (* -1/2 (/ (* a c) b_2))) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))) |
b_2 |
(+ b_2 (* -1/2 (/ (* a c) b_2))) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))) |
(* -1 (* a c)) |
(- (pow b_2 2) (* a c)) |
(- (pow b_2 2) (* a c)) |
(- (pow b_2 2) (* a c)) |
(pow b_2 2) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(pow b_2 2) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(pow b_2 2) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(* -1 (* a c)) |
(* a (- (/ (pow b_2 2) a) c)) |
(* a (- (/ (pow b_2 2) a) c)) |
(* a (- (/ (pow b_2 2) a) c)) |
(* -1 (* a c)) |
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c)))) |
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c)))) |
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c)))) |
(pow b_2 2) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(* -1 (* a c)) |
(* c (- (/ (pow b_2 2) c) a)) |
(* c (- (/ (pow b_2 2) c) a)) |
(* c (- (/ (pow b_2 2) c) a)) |
(* -1 (* a c)) |
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a)))) |
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a)))) |
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a)))) |
| Outputs |
|---|
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(fma.f64 b_2 (fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(fma.f64 b_2 (fma.f64 b_2 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b_2 b_2) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1/2 (/ (* a c) b_2)) |
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) |
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2) |
(/.f64 (fma.f64 a (*.f64 c #s(literal -1/2 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 b_2 b_2))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2) |
(/.f64 (fma.f64 a (*.f64 c #s(literal -1/2 binary64)) (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 b_2 b_2)))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a c (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 5/64 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 b_2 b_2)))) b_2) |
(* -2 b_2) |
(*.f64 b_2 #s(literal -2 binary64)) |
(* -1 (* b_2 (+ 2 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(neg.f64 (*.f64 b_2 (fma.f64 (*.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) #s(literal 2 binary64)))) |
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (fma.f64 (*.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) #s(literal 2 binary64))) (neg.f64 b_2)) |
(* -1 (* b_2 (+ 2 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))) |
(*.f64 b_2 (+.f64 #s(literal -2 binary64) (neg.f64 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))))))) |
(* -1/2 (/ (* a c) b_2)) |
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) |
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) |
(*.f64 a (fma.f64 c (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 (*.f64 b_2 b_2))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) b_2)) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)))) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) |
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a))))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a))) |
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(*.f64 a (fma.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)) (neg.f64 b_2)) a))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(*.f64 a (neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 a c))))) a) b_2) a)))) |
(* -1/2 (/ (* a c) b_2)) |
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) |
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))) |
(*.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))) |
(*.f64 c (fma.f64 c (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5))))))))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) b_2)) (/.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 (neg.f64 c)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 (neg.f64 c))))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 (neg.f64 c)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(*.f64 (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)) (neg.f64 b_2)) c)) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
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(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (/.f64 #s(literal -1 binary64) a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 b_2 (fma.f64 b_2 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)))) (/.f64 #s(literal -1 binary64) a)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) |
(* -1/2 (/ c b_2)) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2) |
(/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 b_2))) b_2) |
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2) |
(/.f64 (fma.f64 a (*.f64 (/.f64 (*.f64 c c) (*.f64 b_2 b_2)) #s(literal -1/8 binary64)) (fma.f64 (*.f64 (*.f64 a a) #s(literal -1/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (*.f64 c #s(literal -1/2 binary64)))) b_2) |
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (+.f64 c (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 5/64 binary64))) (*.f64 a (pow.f64 b_2 #s(literal 6 binary64))))) (fma.f64 a (*.f64 (/.f64 (*.f64 c c) (*.f64 b_2 b_2)) #s(literal -1/8 binary64)) (/.f64 (*.f64 (*.f64 (*.f64 a a) #s(literal -1/16 binary64)) (*.f64 c (*.f64 c c))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))))) b_2) |
(* -2 (/ b_2 a)) |
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (* 2 (/ 1 a))))) |
(neg.f64 (*.f64 b_2 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (* 2 (/ 1 a)))))) |
(*.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a))) (neg.f64 b_2)) |
(* -1 (* b_2 (+ (* -1/2 (/ c (pow b_2 2))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 4))) (+ (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 6))) (* 2 (/ 1 a))))))) |
(*.f64 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 a a) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64)))) (/.f64 #s(literal 2 binary64) a)))) (neg.f64 b_2)) |
(* -1/2 (/ c b_2)) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) |
(fma.f64 c (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 (*.f64 b_2 b_2)))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))) |
(fma.f64 a (fma.f64 a (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))) |
(fma.f64 a (fma.f64 a (fma.f64 (*.f64 a #s(literal -1/2 binary64)) (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) b_2)) (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a))) |
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a)))) |
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 (neg.f64 a))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))) |
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b_2 b_2)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 1/2 binary64)) b_2) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a))) |
(-.f64 (/.f64 (-.f64 (/.f64 (fma.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) #s(literal 1/8 binary64) (*.f64 (*.f64 (*.f64 b_2 b_2) (sqrt.f64 (/.f64 a c))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal -1/2 binary64)))) a) b_2) a) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) |
(* -1/2 (/ c b_2)) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) |
(*.f64 c (fma.f64 c (/.f64 (*.f64 a #s(literal -1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal -1/2 binary64) b_2))) |
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) |
(*.f64 c (fma.f64 c (fma.f64 #s(literal -1/8 binary64) (/.f64 a (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 a a))) (pow.f64 b_2 #s(literal 5 binary64)))) (/.f64 #s(literal -1/2 binary64) b_2))) |
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2)))) |
(*.f64 c (fma.f64 c (fma.f64 c (fma.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 (/.f64 (pow.f64 a #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (/.f64 #s(literal 5/64 binary64) (*.f64 a b_2))) (/.f64 (*.f64 (*.f64 a a) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64)))) (/.f64 (*.f64 a #s(literal -1/8 binary64)) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 #s(literal -1/2 binary64) b_2))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b_2 (*.f64 a (neg.f64 c))))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 c (-.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))) (/.f64 b_2 (*.f64 a c)))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(*.f64 c (-.f64 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64)))))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))))) (/.f64 b_2 (*.f64 a c)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 c a))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b_2 (*.f64 a c))) (neg.f64 c)) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(*.f64 c (+.f64 (/.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal -1/2 binary64)) (/.f64 b_2 (neg.f64 a))) c) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
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(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 b_2 b_2)) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))))) |
(fma.f64 (*.f64 b_2 b_2) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b_2 b_2) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (*.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5))))))))) |
(fma.f64 b_2 (*.f64 b_2 (fma.f64 #s(literal 1/2 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (sqrt.f64 #s(literal -1 binary64))) (*.f64 (*.f64 b_2 b_2) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64))))))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) |
b_2 |
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))) |
(fma.f64 b_2 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) (*.f64 b_2 b_2)) b_2) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))) |
(fma.f64 b_2 (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) b_2) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))) |
(fma.f64 b_2 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))))) b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))) |
(fma.f64 (*.f64 b_2 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) #s(literal 1/2 binary64) (neg.f64 b_2)) |
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))) |
(*.f64 (fma.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (fma.f64 (*.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) #s(literal 1 binary64))) (neg.f64 b_2)) |
(* -1 (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))) |
(neg.f64 (fma.f64 b_2 (fma.f64 (*.f64 (*.f64 a (*.f64 a a)) #s(literal -1/16 binary64)) (/.f64 (*.f64 c (*.f64 c c)) (pow.f64 b_2 #s(literal 6 binary64))) (fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 b_2)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c (*.f64 c (*.f64 a a)))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))))) b_2)) |
b_2 |
(+ b_2 (* -1/2 (/ (* a c) b_2))) |
(fma.f64 a (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) b_2) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) |
(fma.f64 a (fma.f64 c (/.f64 #s(literal -1/2 binary64) b_2) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 (*.f64 b_2 b_2)))) b_2) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) |
(fma.f64 a (fma.f64 a (fma.f64 a (/.f64 (*.f64 (*.f64 c (*.f64 c c)) #s(literal -1/16 binary64)) (pow.f64 b_2 #s(literal 5 binary64))) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) b_2) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (*.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(*.f64 a (neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(neg.f64 (*.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64))))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 a (neg.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 a a))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))))))) |
b_2 |
(+ b_2 (* -1/2 (/ (* a c) b_2))) |
(fma.f64 a (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) b_2) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))) |
(fma.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2)) b_2) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))) |
(fma.f64 c (fma.f64 c (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 c (pow.f64 b_2 #s(literal 5 binary64))) #s(literal -1/16 binary64)) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2)) b_2) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) |
(*.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(neg.f64 (*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/16 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))))) |
(* -1 (* a c)) |
(*.f64 a (neg.f64 c)) |
(- (pow b_2 2) (* a c)) |
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) |
(- (pow b_2 2) (* a c)) |
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) |
(- (pow b_2 2) (* a c)) |
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) |
(pow b_2 2) |
(*.f64 b_2 b_2) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)) |
(pow b_2 2) |
(*.f64 b_2 b_2) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)) |
(pow b_2 2) |
(*.f64 b_2 b_2) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) |
(* -1 (* a c)) |
(*.f64 a (neg.f64 c)) |
(* a (- (/ (pow b_2 2) a) c)) |
(*.f64 a (fma.f64 b_2 (/.f64 b_2 a) (neg.f64 c))) |
(* a (- (/ (pow b_2 2) a) c)) |
(*.f64 a (fma.f64 b_2 (/.f64 b_2 a) (neg.f64 c))) |
(* a (- (/ (pow b_2 2) a) c)) |
(*.f64 a (fma.f64 b_2 (/.f64 b_2 a) (neg.f64 c))) |
(* -1 (* a c)) |
(*.f64 a (neg.f64 c)) |
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c)))) |
(*.f64 a (fma.f64 b_2 (/.f64 b_2 a) (neg.f64 c))) |
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c)))) |
(*.f64 a (fma.f64 b_2 (/.f64 b_2 a) (neg.f64 c))) |
(* -1 (* a (- (* -1 (/ (pow b_2 2) a)) (* -1 c)))) |
(*.f64 a (fma.f64 b_2 (/.f64 b_2 a) (neg.f64 c))) |
(pow b_2 2) |
(*.f64 b_2 b_2) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) |
(* -1 (* a c)) |
(*.f64 a (neg.f64 c)) |
(* c (- (/ (pow b_2 2) c) a)) |
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a))) |
(* c (- (/ (pow b_2 2) c) a)) |
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a))) |
(* c (- (/ (pow b_2 2) c) a)) |
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a))) |
(* -1 (* a c)) |
(*.f64 a (neg.f64 c)) |
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a)))) |
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a))) |
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a)))) |
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a))) |
(* -1 (* c (- (* -1 (/ (pow b_2 2) c)) (* -1 a)))) |
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a))) |
Compiled 18 587 to 2 098 computations (88.7% saved)
13 alts after pruning (12 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 590 | 12 | 602 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 590 | 13 | 603 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 26.3% | (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 b_2))) b_2) |
| ▶ | 26.2% | (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) a) |
| 33.9% | (/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))) a) | |
| 28.6% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c))))))) a) | |
| 27.5% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a) | |
| ✓ | 53.0% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 17.5% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))))) a) | |
| ▶ | 34.3% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)))) a) |
| ▶ | 35.3% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a) |
| 19.3% | (/.f64 (*.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))) a) | |
| 35.1% | (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) | |
| ▶ | 34.6% | (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
| 33.4% | (neg.f64 (*.f64 b_2 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))) |
Compiled 486 to 282 computations (42% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)))) a) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)))) |
| ✓ | cost-diff | 640 | (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2) |
| ✓ | cost-diff | 704 | (*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)) |
| ✓ | cost-diff | 0 | (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 b_2)) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 b_2))) b_2) |
| ✓ | cost-diff | 320 | (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 b_2))) |
| ✓ | cost-diff | 0 | (*.f64 c #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 a (*.f64 c #s(literal -1/2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) |
| ✓ | cost-diff | 1024 | (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) a) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1/2 binary64) b_2) |
| ✓ | cost-diff | 0 | (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 a (neg.f64 c))) |
| ✓ | cost-diff | 0 | (neg.f64 b_2) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a) |
| ✓ | cost-diff | 128 | (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) |
| 4 878× | lower-fma.f32 |
| 4 874× | lower-fma.f64 |
| 4 016× | lower-*.f32 |
| 3 996× | lower-*.f64 |
| 2 586× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 237 |
| 0 | 60 | 233 |
| 1 | 113 | 229 |
| 2 | 282 | 229 |
| 3 | 877 | 203 |
| 4 | 2344 | 199 |
| 5 | 3804 | 199 |
| 6 | 6389 | 199 |
| 0 | 8063 | 197 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a) |
(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) |
(neg.f64 b_2) |
b_2 |
(sqrt.f64 (*.f64 a (neg.f64 c))) |
(*.f64 a (neg.f64 c)) |
a |
(neg.f64 c) |
c |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
c |
(/.f64 #s(literal -1/2 binary64) b_2) |
#s(literal -1/2 binary64) |
b_2 |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) a) |
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) |
(*.f64 a (*.f64 c #s(literal -1/2 binary64))) |
a |
(*.f64 c #s(literal -1/2 binary64)) |
c |
#s(literal -1/2 binary64) |
b_2 |
(/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 b_2))) b_2) |
(fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 b_2))) |
c |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 b_2)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) |
(*.f64 #s(literal -1/8 binary64) (*.f64 c c)) |
#s(literal -1/8 binary64) |
(*.f64 c c) |
a |
(*.f64 b_2 b_2) |
b_2 |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)))) a) |
(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)))) |
(neg.f64 b_2) |
b_2 |
(sqrt.f64 (*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2))) |
(*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)) |
(fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2) |
(neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) |
(/.f64 (*.f64 a c) (*.f64 b_2 b_2)) |
(*.f64 a c) |
a |
c |
(*.f64 b_2 b_2) |
| Outputs |
|---|
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a) |
(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) |
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) |
(neg.f64 b_2) |
b_2 |
(sqrt.f64 (*.f64 a (neg.f64 c))) |
(*.f64 a (neg.f64 c)) |
a |
(neg.f64 c) |
c |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
c |
(/.f64 #s(literal -1/2 binary64) b_2) |
#s(literal -1/2 binary64) |
b_2 |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) a) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) |
(*.f64 c (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2))) |
(*.f64 a (*.f64 c #s(literal -1/2 binary64))) |
a |
(*.f64 c #s(literal -1/2 binary64)) |
c |
#s(literal -1/2 binary64) |
b_2 |
(/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 b_2))) b_2) |
(/.f64 (*.f64 c (fma.f64 a (*.f64 c (/.f64 #s(literal -1/8 binary64) (*.f64 b_2 b_2))) #s(literal -1/2 binary64))) b_2) |
(fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 b_2))) |
(*.f64 c (fma.f64 a (*.f64 c (/.f64 #s(literal -1/8 binary64) (*.f64 b_2 b_2))) #s(literal -1/2 binary64))) |
c |
#s(literal -1/2 binary64) |
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 b_2)) |
(/.f64 (*.f64 a (*.f64 c (*.f64 c #s(literal -1/8 binary64)))) (*.f64 b_2 b_2)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) |
(*.f64 a (*.f64 c (*.f64 c #s(literal -1/8 binary64)))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 c c)) |
(*.f64 c (*.f64 c #s(literal -1/8 binary64))) |
#s(literal -1/8 binary64) |
(*.f64 c c) |
a |
(*.f64 b_2 b_2) |
b_2 |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)))) a) |
(/.f64 (-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) a) |
(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)))) |
(-.f64 (sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) b_2) |
(neg.f64 b_2) |
b_2 |
(sqrt.f64 (*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2))) |
(sqrt.f64 (fma.f64 b_2 b_2 (*.f64 a (neg.f64 c)))) |
(*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)) |
(fma.f64 b_2 b_2 (*.f64 a (neg.f64 c))) |
(fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2) |
(-.f64 b_2 (/.f64 (*.f64 a c) b_2)) |
(neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) |
(/.f64 (*.f64 a c) (*.f64 b_2 b_2)) |
(*.f64 a c) |
a |
c |
(*.f64 b_2 b_2) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 91.5% | (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2) |
| ✓ | accuracy | 90.9% | (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)))) |
| ✓ | accuracy | 86.1% | (/.f64 (*.f64 a c) (*.f64 b_2 b_2)) |
| ✓ | accuracy | 80.4% | (sqrt.f64 (*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2))) |
| ✓ | accuracy | 100.0% | (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) |
| ✓ | accuracy | 98.9% | (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 b_2))) b_2) |
| ✓ | accuracy | 96.9% | (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) |
| ✓ | accuracy | 87.0% | (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 b_2)) |
| ✓ | accuracy | 100.0% | (*.f64 c #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 a (*.f64 c #s(literal -1/2 binary64))) |
| ✓ | accuracy | 93.4% | (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) |
| ✓ | accuracy | 91.0% | (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) a) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1/2 binary64) b_2) |
| ✓ | accuracy | 99.8% | (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
| ✓ | accuracy | 100.0% | (neg.f64 b_2) |
| ✓ | accuracy | 100.0% | (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a) |
| ✓ | accuracy | 87.9% | (sqrt.f64 (*.f64 a (neg.f64 c))) |
| 53.0ms | 125× | 0 | valid |
| 33.0ms | 96× | 0 | invalid |
| 9.0ms | 19× | 2 | valid |
| 5.0ms | 15× | 1 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 246 to 35 computations (85.8% saved)
ival-mult: 28.0ms (47.8% of total)ival-div: 13.0ms (22.2% of total)ival-sqrt: 7.0ms (12% of total)ival-add: 5.0ms (8.5% of total)ival-neg: 3.0ms (5.1% of total)adjust: 2.0ms (3.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c))))> |
#<alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a)> |
#<alt (neg.f64 b_2)> |
#<alt (sqrt.f64 (*.f64 a (neg.f64 c)))> |
#<alt (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))> |
#<alt (/.f64 #s(literal -1/2 binary64) b_2)> |
#<alt (/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) a)> |
#<alt (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2)> |
#<alt (*.f64 a (*.f64 c #s(literal -1/2 binary64)))> |
#<alt (*.f64 c #s(literal -1/2 binary64))> |
#<alt (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 b_2)))> |
#<alt (/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 b_2))) b_2)> |
#<alt (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 b_2))> |
#<alt (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a)> |
#<alt (*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2))> |
#<alt (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)> |
#<alt (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2))))> |
#<alt (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)))) a)> |
#<alt (*.f64 #s(literal -1/8 binary64) (*.f64 c c))> |
#<alt (sqrt.f64 (*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)))> |
#<alt (/.f64 (*.f64 a c) (*.f64 b_2 b_2))> |
| Outputs |
|---|
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 b_2)> |
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))> |
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))> |
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))> |
#<alt (* -1 b_2)> |
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))> |
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))> |
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))> |
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)> |
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)> |
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)> |
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))> |
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))> |
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))> |
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))> |
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))> |
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)> |
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)> |
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)> |
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))> |
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))> |
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))> |
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))> |
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))> |
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))> |
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))> |
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))> |
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
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#<alt (* -1 (* a c))> |
#<alt (* c (+ (* -1 a) (/ (pow b_2 2) c)))> |
#<alt (* c (+ (* -1 a) (/ (pow b_2 2) c)))> |
#<alt (* c (+ (* -1 a) (/ (pow b_2 2) c)))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))> |
#<alt (* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))> |
#<alt (* -1 (* c (+ a (* -1 (/ (pow b_2 2) c)))))> |
#<alt (* -1 (/ (* a c) b_2))> |
#<alt (/ (+ (* -1 (* a c)) (pow b_2 2)) b_2)> |
#<alt (/ (+ (* -1 (* a c)) (pow b_2 2)) b_2)> |
#<alt (/ (+ (* -1 (* a c)) (pow b_2 2)) b_2)> |
#<alt b_2> |
#<alt (* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))> |
#<alt (* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))> |
#<alt (* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2)))))> |
#<alt b_2> |
#<alt (* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1)))> |
#<alt (* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1)))> |
#<alt (* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1)))> |
#<alt b_2> |
#<alt (+ b_2 (* -1 (/ (* a c) b_2)))> |
#<alt (+ b_2 (* -1 (/ (* a c) b_2)))> |
#<alt (+ b_2 (* -1 (/ (* a c) b_2)))> |
#<alt (* -1 (/ (* a c) b_2))> |
#<alt (* a (+ (* -1 (/ c b_2)) (/ b_2 a)))> |
#<alt (* a (+ (* -1 (/ c b_2)) (/ b_2 a)))> |
#<alt (* a (+ (* -1 (/ c b_2)) (/ b_2 a)))> |
#<alt (* -1 (/ (* a c) b_2))> |
#<alt (* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2))))> |
#<alt (* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2))))> |
#<alt (* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2))))> |
#<alt b_2> |
#<alt (+ b_2 (* -1 (/ (* a c) b_2)))> |
#<alt (+ b_2 (* -1 (/ (* a c) b_2)))> |
#<alt (+ b_2 (* -1 (/ (* a c) b_2)))> |
#<alt (* -1 (/ (* a c) b_2))> |
#<alt (* c (+ (* -1 (/ a b_2)) (/ b_2 c)))> |
#<alt (* c (+ (* -1 (/ a b_2)) (/ b_2 c)))> |
#<alt (* c (+ (* -1 (/ a b_2)) (/ b_2 c)))> |
#<alt (* -1 (/ (* a c) b_2))> |
#<alt (* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2))))> |
#<alt (* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2))))> |
#<alt (* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2))))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1/2 (/ (* a c) b_2))> |
#<alt (/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2)> |
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2)> |
#<alt (/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2)> |
#<alt (* -1 (* b_2 (+ 1 (pow (sqrt -1) 2))))> |
#<alt (* -1 (* b_2 (+ 1 (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (* (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow (sqrt -1) 2)))))))> |
#<alt (* -1/2 (/ (* a c) b_2))> |
#<alt (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))> |
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))> |
#<alt (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))> |
#<alt (* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))> |
#<alt (* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a)))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))> |
#<alt (* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1)))))> |
#<alt (* -1/2 (/ (* a c) b_2))> |
#<alt (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))> |
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))> |
#<alt (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5)))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))> |
#<alt (* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c)))> |
#<alt (* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c)))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1)))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2)> |
#<alt (/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2)> |
#<alt (/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2)> |
#<alt (* -1 (/ (* b_2 (+ 1 (pow (sqrt -1) 2))) a))> |
#<alt (* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (+ (/ 1 a) (/ (pow (sqrt -1) 2) a)))))> |
#<alt (* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (* (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (/ c (pow b_2 2))) (+ (/ 1 a) (/ (pow (sqrt -1) 2) a))))))> |
#<alt (* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (* (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (* (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ c (pow b_2 2))) (+ (/ 1 a) (/ (pow (sqrt -1) 2) a)))))))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))> |
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))> |
#<alt (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))> |
#<alt (+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a)))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2))))> |
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2))))> |
#<alt (* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))> |
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))> |
#<alt (* -1/8 (pow c 2))> |
#<alt (* -1/8 (pow c 2))> |
#<alt (* -1/8 (pow c 2))> |
#<alt (* -1/8 (pow c 2))> |
#<alt (* -1/8 (pow c 2))> |
#<alt (* -1/8 (pow c 2))> |
#<alt (* -1/8 (pow c 2))> |
#<alt (* -1/8 (pow c 2))> |
#<alt (* -1/8 (pow c 2))> |
#<alt (* -1/8 (pow c 2))> |
#<alt (* -1/8 (pow c 2))> |
#<alt (* -1/8 (pow c 2))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))))> |
#<alt (+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5)))))))))> |
#<alt b_2> |
#<alt (* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2)))))> |
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))))))> |
#<alt (* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6)))))))> |
#<alt (* -1 (* b_2 (pow (sqrt -1) 2)))> |
#<alt (* -1 (* b_2 (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow (sqrt -1) 2))))> |
#<alt (* -1 (* b_2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow (sqrt -1) 2)))))> |
#<alt (* -1 (* b_2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (* (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow (sqrt -1) 2))))))> |
#<alt b_2> |
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))> |
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))))> |
#<alt (+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))> |
#<alt (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))> |
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))> |
#<alt (* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))))> |
#<alt b_2> |
#<alt (+ b_2 (* -1/2 (/ (* a c) b_2)))> |
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))))> |
#<alt (+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))> |
#<alt (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))> |
#<alt (* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
#<alt (/ (* a c) (pow b_2 2))> |
153 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 19.0ms | a | @ | 0 | (* b_2 (+ (* b_2 (neg (/ (* a c) (* b_2 b_2)))) b_2)) |
| 17.0ms | c | @ | -inf | (/ (* a c) (* b_2 b_2)) |
| 6.0ms | c | @ | inf | (/ (+ (neg b_2) (sqrt (* a (neg c)))) a) |
| 6.0ms | c | @ | inf | (* b_2 (+ (* b_2 (neg (/ (* a c) (* b_2 b_2)))) b_2)) |
| 3.0ms | b_2 | @ | -inf | (+ (* c -1/2) (/ (* (* -1/8 (* c c)) a) (* b_2 b_2))) |
| 1× | batch-egg-rewrite |
| 5 672× | lower-fma.f32 |
| 5 668× | lower-fma.f64 |
| 5 142× | lower-/.f32 |
| 5 126× | lower-/.f64 |
| 5 038× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 191 |
| 0 | 60 | 191 |
| 1 | 215 | 187 |
| 2 | 1546 | 187 |
| 0 | 8377 | 187 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a) |
(neg.f64 b_2) |
(sqrt.f64 (*.f64 a (neg.f64 c))) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
(/.f64 #s(literal -1/2 binary64) b_2) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) a) |
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) |
(*.f64 a (*.f64 c #s(literal -1/2 binary64))) |
(*.f64 c #s(literal -1/2 binary64)) |
(fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 b_2))) |
(/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 b_2))) b_2) |
(/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 b_2)) |
(*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) |
(*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)) |
(fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2) |
(+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)))) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)))) a) |
(*.f64 #s(literal -1/8 binary64) (*.f64 c c)) |
(sqrt.f64 (*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2))) |
(/.f64 (*.f64 a c) (*.f64 b_2 b_2)) |
| Outputs |
|---|
(+.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))) |
(+.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) (neg.f64 b_2)) |
(-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) |
(-.f64 #s(literal 0 binary64) (-.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) |
(-.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))) (/.f64 (neg.f64 (*.f64 a c)) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))))) |
(-.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) #s(literal 0 binary64)) b_2) |
(-.f64 (/.f64 (neg.f64 (*.f64 a c)) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) (neg.f64 b_2))) (/.f64 (*.f64 b_2 b_2) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) (neg.f64 b_2)))) |
(fma.f64 b_2 #s(literal -1 binary64) (sqrt.f64 (neg.f64 (*.f64 a c)))) |
(fma.f64 (sqrt.f64 a) (sqrt.f64 (neg.f64 c)) (neg.f64 b_2)) |
(fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2)) |
(fma.f64 (neg.f64 (*.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) b_2)) (sqrt.f64 (neg.f64 (*.f64 a c)))) |
(fma.f64 #s(literal -1 binary64) b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) |
(fma.f64 (-.f64 #s(literal 0 binary64) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 (*.f64 #s(literal 0 binary64) b_2)))) (sqrt.f64 (neg.f64 (*.f64 a c)))) |
(fma.f64 (pow.f64 (neg.f64 (*.f64 a c)) #s(literal 1/4 binary64)) (pow.f64 (neg.f64 (*.f64 a c)) #s(literal 1/4 binary64)) (neg.f64 b_2)) |
(fma.f64 (sqrt.f64 c) (pow.f64 (neg.f64 a) #s(literal 1/2 binary64)) (neg.f64 b_2)) |
(fma.f64 (sqrt.f64 c) (sqrt.f64 (neg.f64 a)) (neg.f64 b_2)) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 (*.f64 a c) #s(literal 1/2 binary64)) (neg.f64 b_2)) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a c)) (neg.f64 b_2)) |
(fma.f64 (pow.f64 (neg.f64 a) #s(literal 1/2 binary64)) (sqrt.f64 c) (neg.f64 b_2)) |
(fma.f64 (pow.f64 (sqrt.f64 a) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (*.f64 (neg.f64 c) (neg.f64 (*.f64 a c)))) #s(literal 1/2 binary64)) (neg.f64 b_2)) |
(fma.f64 (pow.f64 (*.f64 a #s(literal -1 binary64)) #s(literal 1/2 binary64)) (sqrt.f64 c) (neg.f64 b_2)) |
(fma.f64 (pow.f64 (sqrt.f64 (*.f64 (neg.f64 (*.f64 a c)) a)) #s(literal 1/2 binary64)) (pow.f64 (sqrt.f64 (neg.f64 c)) #s(literal 1/2 binary64)) (neg.f64 b_2)) |
(fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) (neg.f64 b_2)) |
(fma.f64 (sqrt.f64 (sqrt.f64 (neg.f64 (*.f64 a c)))) (sqrt.f64 (sqrt.f64 (neg.f64 (*.f64 a c)))) (neg.f64 b_2)) |
(fma.f64 (sqrt.f64 (sqrt.f64 a)) (sqrt.f64 (sqrt.f64 (*.f64 (neg.f64 c) (neg.f64 (*.f64 a c))))) (neg.f64 b_2)) |
(fma.f64 (sqrt.f64 (*.f64 a #s(literal -1 binary64))) (sqrt.f64 c) (neg.f64 b_2)) |
(fma.f64 (sqrt.f64 (sqrt.f64 (*.f64 (neg.f64 (*.f64 a c)) a))) (sqrt.f64 (sqrt.f64 (neg.f64 c))) (neg.f64 b_2)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (*.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))) |
(/.f64 (fma.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) (fma.f64 a (neg.f64 c) (-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 a (neg.f64 c) (-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))))) (fma.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) (neg.f64 b_2)) (-.f64 (neg.f64 (*.f64 a c)) (*.f64 b_2 b_2)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)))) |
(/.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2)))) (neg.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (*.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2)))) (neg.f64 (fma.f64 a (neg.f64 c) (-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c)))) (neg.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))))) |
(/.f64 (-.f64 (neg.f64 (*.f64 a c)) (*.f64 b_2 b_2)) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) (neg.f64 b_2))) |
(/.f64 (-.f64 (*.f64 (*.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))) (*.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))) (neg.f64 (*.f64 a c)))) (*.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))))) (neg.f64 (neg.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (*.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c))))) (neg.f64 (neg.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))))) |
(/.f64 (neg.f64 (-.f64 (neg.f64 (*.f64 a c)) (*.f64 b_2 b_2))) (neg.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) (neg.f64 b_2)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 b_2))) (fma.f64 a (neg.f64 c) (fma.f64 b_2 b_2 (*.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) (-.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) (*.f64 #s(literal 0 binary64) (-.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))) #s(literal 3 binary64)) (pow.f64 (/.f64 (neg.f64 (*.f64 a c)) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))) (/.f64 (*.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))) (fma.f64 (/.f64 (neg.f64 (*.f64 a c)) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))) (/.f64 (neg.f64 (*.f64 a c)) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))) (/.f64 (neg.f64 (*.f64 a c)) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))))))) |
(/.f64 (-.f64 (pow.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) #s(literal 0 binary64)) #s(literal 3 binary64)) (*.f64 b_2 (*.f64 b_2 b_2))) (fma.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) #s(literal 0 binary64)) (+.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) #s(literal 0 binary64)) (fma.f64 b_2 b_2 (*.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) #s(literal 0 binary64)) b_2)))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (*.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) |
(*.f64 (fma.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) (fma.f64 a (neg.f64 c) (-.f64 (*.f64 b_2 b_2) (*.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))))))) |
(*.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)) |
(*.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c))) (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (*.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) |
(*.f64 (neg.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))))) |
(*.f64 (-.f64 (neg.f64 (*.f64 a c)) (*.f64 b_2 b_2)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) (neg.f64 b_2)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) a) (/.f64 (-.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) a)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) (neg.f64 a))) |
(-.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) a) (/.f64 b_2 a)) |
(-.f64 (/.f64 (/.f64 (*.f64 b_2 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))) a) (/.f64 (/.f64 (neg.f64 (*.f64 a c)) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))) a)) |
(-.f64 (/.f64 (+.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) #s(literal 0 binary64)) a) (/.f64 b_2 a)) |
(-.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))))) (/.f64 (neg.f64 (*.f64 a c)) (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))))) |
(neg.f64 (/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) (neg.f64 a))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)) a)) |
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a) |
(/.f64 (neg.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)) (neg.f64 a)) |
(/.f64 (fma.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) (*.f64 a (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (*.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (*.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))) (fma.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))) (-.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (*.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))) a) (*.f64 (fma.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))) a) (*.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (*.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))) (*.f64 (fma.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) a)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))) (*.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c))) (/.f64 #s(literal 1 binary64) a)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)))) |
(/.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c))) (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) #s(literal 1 binary64)) (*.f64 (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (*.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))) a)) |
(/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c))) #s(literal 1 binary64)) (*.f64 (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))) a)) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2)))) (neg.f64 (*.f64 a (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (*.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c)))) (neg.f64 (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))) (neg.f64 (neg.f64 a))) |
(/.f64 (*.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) #s(literal 1 binary64)) a) |
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(/.f64 (neg.f64 (*.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) #s(literal 1 binary64))) (neg.f64 a)) |
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(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(*.f64 c (/.f64 a (*.f64 b_2 b_2))) |
(*.f64 (neg.f64 c) (/.f64 a (neg.f64 (*.f64 b_2 b_2)))) |
(*.f64 (neg.f64 (*.f64 a c)) (/.f64 #s(literal -1 binary64) (*.f64 b_2 b_2))) |
(*.f64 (*.f64 a c) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2))) |
(*.f64 (/.f64 a b_2) (/.f64 c b_2)) |
(*.f64 (/.f64 c b_2) (/.f64 a b_2)) |
(*.f64 #s(literal 1 binary64) (*.f64 a (/.f64 c (*.f64 b_2 b_2)))) |
(*.f64 (/.f64 #s(literal 1 binary64) b_2) (/.f64 (*.f64 a c) b_2)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) (*.f64 a c)) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2)) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))))) |
(*.f64 (/.f64 (*.f64 a c) b_2) (/.f64 #s(literal 1 binary64) b_2)) |
(*.f64 (/.f64 c (*.f64 b_2 b_2)) a) |
(*.f64 (neg.f64 (neg.f64 (*.f64 a c))) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2))) |
(*.f64 (neg.f64 (/.f64 (*.f64 a c) b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 b_2))) |
(*.f64 (/.f64 (neg.f64 c) b_2) (/.f64 a (neg.f64 b_2))) |
(*.f64 (*.f64 a #s(literal 1 binary64)) (/.f64 c (*.f64 b_2 b_2))) |
(*.f64 (*.f64 (*.f64 a c) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2))) |
(*.f64 (*.f64 (/.f64 a b_2) c) (/.f64 #s(literal 1 binary64) b_2)) |
(*.f64 (/.f64 (*.f64 a c) (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) (neg.f64 b_2))) |
(*.f64 (/.f64 c (neg.f64 b_2)) (/.f64 a (neg.f64 b_2))) |
(*.f64 (/.f64 c (neg.f64 b_2)) (/.f64 (neg.f64 a) b_2)) |
(*.f64 (/.f64 a (neg.f64 b_2)) (/.f64 (neg.f64 c) b_2)) |
(*.f64 (/.f64 a (neg.f64 b_2)) (/.f64 c (neg.f64 b_2))) |
(*.f64 (/.f64 #s(literal -1 binary64) b_2) (/.f64 (*.f64 a c) (neg.f64 b_2))) |
(*.f64 (/.f64 c #s(literal -1 binary64)) (/.f64 a (neg.f64 (*.f64 b_2 b_2)))) |
(*.f64 (/.f64 (neg.f64 c) #s(literal -1 binary64)) (/.f64 a (*.f64 b_2 b_2))) |
(*.f64 (/.f64 a #s(literal -1 binary64)) (/.f64 c (neg.f64 (*.f64 b_2 b_2)))) |
(*.f64 (/.f64 (neg.f64 a) b_2) (/.f64 c (neg.f64 b_2))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) (/.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) (neg.f64 b_2))) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) (*.f64 b_2 b_2))) |
(*.f64 (/.f64 (sqrt.f64 a) b_2) (/.f64 (sqrt.f64 (*.f64 (neg.f64 c) (neg.f64 (*.f64 a c)))) (neg.f64 b_2))) |
(*.f64 (/.f64 (sqrt.f64 a) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (*.f64 (neg.f64 c) (neg.f64 (*.f64 a c)))) (*.f64 b_2 b_2))) |
(*.f64 (/.f64 (*.f64 a c) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 b_2 b_2))) |
(*.f64 (/.f64 (*.f64 a #s(literal -1 binary64)) b_2) (/.f64 c (neg.f64 b_2))) |
(*.f64 (/.f64 (*.f64 a #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 c (*.f64 b_2 b_2))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (neg.f64 (*.f64 a c)) a)) b_2) (/.f64 (sqrt.f64 (neg.f64 c)) (neg.f64 b_2))) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (neg.f64 (*.f64 a c)) a)) #s(literal -1 binary64)) (/.f64 (sqrt.f64 (neg.f64 c)) (*.f64 b_2 b_2))) |
(*.f64 (/.f64 a (*.f64 (neg.f64 b_2) #s(literal -1 binary64))) (/.f64 c b_2)) |
(*.f64 (/.f64 c #s(literal 1 binary64)) (/.f64 a (*.f64 b_2 b_2))) |
(*.f64 (/.f64 c (*.f64 (neg.f64 b_2) #s(literal -1 binary64))) (/.f64 a b_2)) |
(*.f64 (/.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) (neg.f64 b_2)) (/.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)) |
(*.f64 (/.f64 (sqrt.f64 a) (neg.f64 b_2)) (/.f64 (sqrt.f64 (*.f64 (neg.f64 c) (neg.f64 (*.f64 a c)))) b_2)) |
(*.f64 (/.f64 (*.f64 a #s(literal -1 binary64)) (neg.f64 b_2)) (/.f64 c b_2)) |
(*.f64 (/.f64 (sqrt.f64 (*.f64 (neg.f64 (*.f64 a c)) a)) (neg.f64 b_2)) (/.f64 (sqrt.f64 (neg.f64 c)) b_2)) |
(*.f64 (/.f64 (*.f64 a c) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 b_2 b_2))) |
(*.f64 (/.f64 (*.f64 a c) (*.f64 (neg.f64 b_2) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) b_2)) |
| 1× | egg-herbie |
| 10 888× | lower-fma.f64 |
| 10 888× | lower-fma.f32 |
| 7 114× | lower-*.f64 |
| 7 114× | lower-*.f32 |
| 3 054× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 608 | 7282 |
| 1 | 1965 | 7105 |
| 2 | 6733 | 7078 |
| 0 | 8273 | 6867 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* (sqrt (* a c)) (sqrt -1)) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(* -1 b_2) |
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1)) |
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1)) |
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1)) |
(* -1 b_2) |
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))) |
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))) |
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(* (sqrt (* a c)) (sqrt -1)) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(* (sqrt (* a c)) (sqrt -1)) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b_2 a)) |
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))) |
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))) |
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))) |
(* -1 (/ b_2 a)) |
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))) |
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))) |
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(/ -1/2 b_2) |
(/ -1/2 b_2) |
(/ -1/2 b_2) |
(/ -1/2 b_2) |
(/ -1/2 b_2) |
(/ -1/2 b_2) |
(/ -1/2 b_2) |
(/ -1/2 b_2) |
(/ -1/2 b_2) |
(/ -1/2 b_2) |
(/ -1/2 b_2) |
(/ -1/2 b_2) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(* -1/2 (* a c)) |
(* -1/2 (* a c)) |
(* -1/2 (* a c)) |
(* -1/2 (* a c)) |
(* -1/2 (* a c)) |
(* -1/2 (* a c)) |
(* -1/2 (* a c)) |
(* -1/2 (* a c)) |
(* -1/2 (* a c)) |
(* -1/2 (* a c)) |
(* -1/2 (* a c)) |
(* -1/2 (* a c)) |
(* -1/2 (* a c)) |
(* -1/2 (* a c)) |
(* -1/2 (* a c)) |
(* -1/2 (* a c)) |
(* -1/2 (* a c)) |
(* -1/2 (* a c)) |
(* -1/2 (* a c)) |
(* -1/2 (* a c)) |
(* -1/2 (* a c)) |
(* -1/2 (* a c)) |
(* -1/2 (* a c)) |
(* -1/2 (* a c)) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2)) |
(* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2)) |
(* c (- (* -1/8 (/ (* a c) (pow b_2 2))) 1/2)) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c)))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c)))) |
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 2))) (* 1/2 (/ 1 c)))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) |
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) |
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2))))) |
(* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2))))) |
(* a (+ (* -1/2 (/ c a)) (* -1/8 (/ (pow c 2) (pow b_2 2))))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a))))) |
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a))))) |
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 2))) (* 1/2 (/ c a))))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2)) |
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2)) |
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 2)) |
(* -1/2 c) |
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) |
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) |
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) |
(* -1/2 c) |
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) |
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) |
(+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) |
(* -1/2 (/ c b_2)) |
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) |
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))) |
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))) |
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) |
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))) |
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))) |
(* (pow c 2) (- (* -1/8 (/ a (pow b_2 3))) (* 1/2 (/ 1 (* b_2 c))))) |
(* -1/2 (/ c b_2)) |
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) |
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) |
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) |
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) |
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) |
(* a (+ (* -1/2 (/ c (* a b_2))) (* -1/8 (/ (pow c 2) (pow b_2 3))))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) |
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2)))))) |
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2)))))) |
(* -1 (* a (+ (* 1/8 (/ (pow c 2) (pow b_2 3))) (* 1/2 (/ c (* a b_2)))))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 3))) |
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3)) |
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3)) |
(/ (+ (* -1/2 (* (pow b_2 2) c)) (* -1/8 (* a (pow c 2)))) (pow b_2 3)) |
(* -1/2 (/ c b_2)) |
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2) |
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2) |
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2) |
(* -1/2 (/ c b_2)) |
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)) |
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)) |
(* -1 (/ (+ (* 1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* 1/2 c)) b_2)) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) |
(* -1/8 (* a (pow c 2))) |
(* -1/8 (* a (pow c 2))) |
(* -1/8 (* a (pow c 2))) |
(* -1/8 (* a (pow c 2))) |
(* -1/8 (* a (pow c 2))) |
(* -1/8 (* a (pow c 2))) |
(* -1/8 (* a (pow c 2))) |
(* -1/8 (* a (pow c 2))) |
(* -1/8 (* a (pow c 2))) |
(* -1/8 (* a (pow c 2))) |
(* -1/8 (* a (pow c 2))) |
(* -1/8 (* a (pow c 2))) |
(* -1/8 (* a (pow c 2))) |
(* -1/8 (* a (pow c 2))) |
(* -1/8 (* a (pow c 2))) |
(* -1/8 (* a (pow c 2))) |
(* -1/8 (* a (pow c 2))) |
(* -1/8 (* a (pow c 2))) |
(* -1/8 (* a (pow c 2))) |
(* -1/8 (* a (pow c 2))) |
(* -1/8 (* a (pow c 2))) |
(* -1/8 (* a (pow c 2))) |
(* -1/8 (* a (pow c 2))) |
(* -1/8 (* a (pow c 2))) |
(* -1 (* a c)) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(pow b_2 2) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(pow b_2 2) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(pow b_2 2) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(* -1 (* a c)) |
(* a (+ (* -1 c) (/ (pow b_2 2) a))) |
(* a (+ (* -1 c) (/ (pow b_2 2) a))) |
(* a (+ (* -1 c) (/ (pow b_2 2) a))) |
(* -1 (* a c)) |
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a))))) |
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a))))) |
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a))))) |
(pow b_2 2) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(* -1 (* a c)) |
(* c (+ (* -1 a) (/ (pow b_2 2) c))) |
(* c (+ (* -1 a) (/ (pow b_2 2) c))) |
(* c (+ (* -1 a) (/ (pow b_2 2) c))) |
(* -1 (* a c)) |
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c))))) |
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c))))) |
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c))))) |
(* -1 (/ (* a c) b_2)) |
(/ (+ (* -1 (* a c)) (pow b_2 2)) b_2) |
(/ (+ (* -1 (* a c)) (pow b_2 2)) b_2) |
(/ (+ (* -1 (* a c)) (pow b_2 2)) b_2) |
b_2 |
(* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
b_2 |
(* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1))) |
(* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1))) |
(* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1))) |
b_2 |
(+ b_2 (* -1 (/ (* a c) b_2))) |
(+ b_2 (* -1 (/ (* a c) b_2))) |
(+ b_2 (* -1 (/ (* a c) b_2))) |
(* -1 (/ (* a c) b_2)) |
(* a (+ (* -1 (/ c b_2)) (/ b_2 a))) |
(* a (+ (* -1 (/ c b_2)) (/ b_2 a))) |
(* a (+ (* -1 (/ c b_2)) (/ b_2 a))) |
(* -1 (/ (* a c) b_2)) |
(* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2)))) |
(* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2)))) |
(* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2)))) |
b_2 |
(+ b_2 (* -1 (/ (* a c) b_2))) |
(+ b_2 (* -1 (/ (* a c) b_2))) |
(+ b_2 (* -1 (/ (* a c) b_2))) |
(* -1 (/ (* a c) b_2)) |
(* c (+ (* -1 (/ a b_2)) (/ b_2 c))) |
(* c (+ (* -1 (/ a b_2)) (/ b_2 c))) |
(* c (+ (* -1 (/ a b_2)) (/ b_2 c))) |
(* -1 (/ (* a c) b_2)) |
(* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2)))) |
(* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2)))) |
(* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2)))) |
(* (sqrt (* a c)) (sqrt -1)) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(* -1/2 (/ (* a c) b_2)) |
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2) |
(* -1 (* b_2 (+ 1 (pow (sqrt -1) 2)))) |
(* -1 (* b_2 (+ 1 (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow (sqrt -1) 2))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow (sqrt -1) 2)))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (* (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow (sqrt -1) 2))))))) |
(* -1/2 (/ (* a c) b_2)) |
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1/2 (/ (* a c) b_2)) |
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5))))))) |
(* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow a 3) (pow b_2 5))))))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (- (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))) (/ b_2 c))) |
(* c (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) (/ b_2 c))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* -1 (* c (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1))))) c)) b_2) c)) (* (sqrt (/ a c)) (sqrt -1))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ b_2 (sqrt -1)))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1)))))) (/ 1 a))) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1/2 (/ c b_2)) |
(/ (+ (* -1/2 c) (* -1/8 (/ (* a (pow c 2)) (pow b_2 2)))) b_2) |
(/ (+ (* -1/2 c) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4))))) b_2) |
(/ (+ (* -1/2 c) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (* a (pow b_2 6)))) (+ (* -1/8 (/ (* a (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 2) (pow c 3)) (pow b_2 4)))))) b_2) |
(* -1 (/ (* b_2 (+ 1 (pow (sqrt -1) 2))) a)) |
(* -1 (* b_2 (+ (* 1/2 (/ c (pow b_2 2))) (+ (/ 1 a) (/ (pow (sqrt -1) 2) a))))) |
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (* (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (/ c (pow b_2 2))) (+ (/ 1 a) (/ (pow (sqrt -1) 2) a)))))) |
(* -1 (* b_2 (+ (* -1/8 (/ (* a (pow c 2)) (* (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ (* (pow a 2) (pow c 3)) (* (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ c (pow b_2 2))) (+ (/ 1 a) (/ (pow (sqrt -1) 2) a))))))) |
(* -1/2 (/ c b_2)) |
(+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))) |
(+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5)))))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(+ (* -1 (/ b_2 a)) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* 1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1))))) a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ (+ b_2 (* -1 (/ (+ (* -1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* 1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1))))) a))) a))) |
(* -1/2 (/ c b_2)) |
(* c (- (* -1/8 (/ (* a c) (pow b_2 3))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* -1/16 (/ (* (pow a 2) c) (pow b_2 5))))) (* 1/2 (/ 1 b_2)))) |
(* c (- (* c (+ (* -1/8 (/ a (pow b_2 3))) (* c (+ (* -1/2 (/ (* c (+ (* 1/64 (/ (pow a 4) (pow b_2 6))) (* 1/16 (/ (pow a 4) (pow b_2 6))))) (* a b_2))) (* -1/16 (/ (pow a 2) (pow b_2 5))))))) (* 1/2 (/ 1 b_2)))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* c (+ (* -1 (/ b_2 (* a c))) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (+ (* -1 (/ b_2 a)) (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) c))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))))) c))) c)) (* (sqrt (/ 1 (* a c))) (sqrt -1))))) |
(* -1/8 (pow c 2)) |
(* -1/8 (pow c 2)) |
(* -1/8 (pow c 2)) |
(* -1/8 (pow c 2)) |
(* -1/8 (pow c 2)) |
(* -1/8 (pow c 2)) |
(* -1/8 (pow c 2)) |
(* -1/8 (pow c 2)) |
(* -1/8 (pow c 2)) |
(* -1/8 (pow c 2)) |
(* -1/8 (pow c 2)) |
(* -1/8 (pow c 2)) |
(* (sqrt (* a c)) (sqrt -1)) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5))))))))) |
b_2 |
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))) |
(* -1 (* b_2 (pow (sqrt -1) 2))) |
(* -1 (* b_2 (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow (sqrt -1) 2)))) |
(* -1 (* b_2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow (sqrt -1) 2))))) |
(* -1 (* b_2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (* (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow (sqrt -1) 2)))))) |
b_2 |
(+ b_2 (* -1/2 (/ (* a c) b_2))) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))) |
b_2 |
(+ b_2 (* -1/2 (/ (* a c) b_2))) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
(/ (* a c) (pow b_2 2)) |
| Outputs |
|---|
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) |
(* -1 b_2) |
(neg.f64 b_2) |
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1)) |
(*.f64 b_2 (fma.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) #s(literal -1 binary64))) |
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1)) |
(*.f64 b_2 (fma.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) #s(literal -1 binary64))) |
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1)) |
(*.f64 b_2 (fma.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) #s(literal -1 binary64))) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))) |
(*.f64 b_2 (fma.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) #s(literal -1 binary64))) |
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))) |
(*.f64 b_2 (fma.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) #s(literal -1 binary64))) |
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))) |
(*.f64 b_2 (fma.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) #s(literal -1 binary64))) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a))) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a))) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)) (neg.f64 a)) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)) (neg.f64 a)) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)) (neg.f64 a)) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 (neg.f64 c)))) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 (neg.f64 c)))) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 (neg.f64 c)))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 c)) (neg.f64 c)) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 c)) (neg.f64 c)) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)) (/.f64 b_2 c)) (neg.f64 c)) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a)) |
(* -1 (/ b_2 a)) |
(/.f64 (neg.f64 b_2) a) |
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))) |
(*.f64 b_2 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (sqrt.f64 (/.f64 c a)) (/.f64 #s(literal -1 binary64) a))) |
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))) |
(*.f64 b_2 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (sqrt.f64 (/.f64 c a)) (/.f64 #s(literal -1 binary64) a))) |
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))) |
(*.f64 b_2 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (sqrt.f64 (/.f64 c a)) (/.f64 #s(literal -1 binary64) a))) |
(* -1 (/ b_2 a)) |
(/.f64 (neg.f64 b_2) a) |
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))) |
(*.f64 b_2 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (sqrt.f64 (/.f64 c a)) (/.f64 #s(literal -1 binary64) a))) |
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))) |
(*.f64 b_2 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (sqrt.f64 (/.f64 c a)) (/.f64 #s(literal -1 binary64) a))) |
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))) |
(*.f64 b_2 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (sqrt.f64 (/.f64 c a)) (/.f64 #s(literal -1 binary64) a))) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a)) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b_2 (*.f64 a (neg.f64 c))))) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b_2 (*.f64 a (neg.f64 c))))) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(*.f64 c (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b_2 (*.f64 a (neg.f64 c))))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(*.f64 (sqrt.f64 (/.f64 c a)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b_2 (*.f64 a c))) (neg.f64 c)) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b_2 (*.f64 a c))) (neg.f64 c)) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (/.f64 b_2 (*.f64 a c))) (neg.f64 c)) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(* (sqrt (* a c)) (sqrt -1)) |
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(*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c c))) |
(* -1/8 (* a (pow c 2))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c c))) |
(* -1/8 (* a (pow c 2))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c c))) |
(* -1/8 (* a (pow c 2))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c c))) |
(* -1/8 (* a (pow c 2))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c c))) |
(* -1/8 (* a (pow c 2))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c c))) |
(* -1/8 (* a (pow c 2))) |
(*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c c))) |
(* -1 (* a c)) |
(*.f64 a (neg.f64 c)) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) |
(pow b_2 2) |
(*.f64 b_2 b_2) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(*.f64 b_2 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) (neg.f64 b_2) b_2)) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(*.f64 b_2 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) (neg.f64 b_2) b_2)) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(*.f64 b_2 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) (neg.f64 b_2) b_2)) |
(pow b_2 2) |
(*.f64 b_2 b_2) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(*.f64 b_2 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) (neg.f64 b_2) b_2)) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(*.f64 b_2 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) (neg.f64 b_2) b_2)) |
(* (pow b_2 2) (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(*.f64 b_2 (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) (neg.f64 b_2) b_2)) |
(pow b_2 2) |
(*.f64 b_2 b_2) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) |
(* -1 (* a c)) |
(*.f64 a (neg.f64 c)) |
(* a (+ (* -1 c) (/ (pow b_2 2) a))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b_2 b_2) a) c)) |
(* a (+ (* -1 c) (/ (pow b_2 2) a))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b_2 b_2) a) c)) |
(* a (+ (* -1 c) (/ (pow b_2 2) a))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b_2 b_2) a) c)) |
(* -1 (* a c)) |
(*.f64 a (neg.f64 c)) |
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b_2 b_2) a) c)) |
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b_2 b_2) a) c)) |
(* -1 (* a (+ c (* -1 (/ (pow b_2 2) a))))) |
(*.f64 a (-.f64 (/.f64 (*.f64 b_2 b_2) a) c)) |
(pow b_2 2) |
(*.f64 b_2 b_2) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) |
(+ (* -1 (* a c)) (pow b_2 2)) |
(fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) |
(* -1 (* a c)) |
(*.f64 a (neg.f64 c)) |
(* c (+ (* -1 a) (/ (pow b_2 2) c))) |
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a))) |
(* c (+ (* -1 a) (/ (pow b_2 2) c))) |
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a))) |
(* c (+ (* -1 a) (/ (pow b_2 2) c))) |
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a))) |
(* -1 (* a c)) |
(*.f64 a (neg.f64 c)) |
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c))))) |
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a))) |
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c))))) |
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a))) |
(* -1 (* c (+ a (* -1 (/ (pow b_2 2) c))))) |
(*.f64 c (fma.f64 b_2 (/.f64 b_2 c) (neg.f64 a))) |
(* -1 (/ (* a c) b_2)) |
(/.f64 (*.f64 a (neg.f64 c)) b_2) |
(/ (+ (* -1 (* a c)) (pow b_2 2)) b_2) |
(/.f64 (fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) b_2) |
(/ (+ (* -1 (* a c)) (pow b_2 2)) b_2) |
(/.f64 (fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) b_2) |
(/ (+ (* -1 (* a c)) (pow b_2 2)) b_2) |
(/.f64 (fma.f64 a (neg.f64 c) (*.f64 b_2 b_2)) b_2) |
b_2 |
(* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) (neg.f64 b_2) b_2) |
(* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) (neg.f64 b_2) b_2) |
(* b_2 (+ 1 (* -1 (/ (* a c) (pow b_2 2))))) |
(fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) (neg.f64 b_2) b_2) |
b_2 |
(* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1))) |
(fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) (neg.f64 b_2) b_2) |
(* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1))) |
(fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) (neg.f64 b_2) b_2) |
(* -1 (* b_2 (- (/ (* a c) (pow b_2 2)) 1))) |
(fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) (neg.f64 b_2) b_2) |
b_2 |
(+ b_2 (* -1 (/ (* a c) b_2))) |
(-.f64 b_2 (/.f64 (*.f64 a c) b_2)) |
(+ b_2 (* -1 (/ (* a c) b_2))) |
(-.f64 b_2 (/.f64 (*.f64 a c) b_2)) |
(+ b_2 (* -1 (/ (* a c) b_2))) |
(-.f64 b_2 (/.f64 (*.f64 a c) b_2)) |
(* -1 (/ (* a c) b_2)) |
(/.f64 (*.f64 a (neg.f64 c)) b_2) |
(* a (+ (* -1 (/ c b_2)) (/ b_2 a))) |
(*.f64 a (-.f64 (/.f64 b_2 a) (/.f64 c b_2))) |
(* a (+ (* -1 (/ c b_2)) (/ b_2 a))) |
(*.f64 a (-.f64 (/.f64 b_2 a) (/.f64 c b_2))) |
(* a (+ (* -1 (/ c b_2)) (/ b_2 a))) |
(*.f64 a (-.f64 (/.f64 b_2 a) (/.f64 c b_2))) |
(* -1 (/ (* a c) b_2)) |
(/.f64 (*.f64 a (neg.f64 c)) b_2) |
(* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2)))) |
(*.f64 a (-.f64 (/.f64 b_2 a) (/.f64 c b_2))) |
(* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2)))) |
(*.f64 a (-.f64 (/.f64 b_2 a) (/.f64 c b_2))) |
(* -1 (* a (+ (* -1 (/ b_2 a)) (/ c b_2)))) |
(*.f64 a (-.f64 (/.f64 b_2 a) (/.f64 c b_2))) |
b_2 |
(+ b_2 (* -1 (/ (* a c) b_2))) |
(-.f64 b_2 (/.f64 (*.f64 a c) b_2)) |
(+ b_2 (* -1 (/ (* a c) b_2))) |
(-.f64 b_2 (/.f64 (*.f64 a c) b_2)) |
(+ b_2 (* -1 (/ (* a c) b_2))) |
(-.f64 b_2 (/.f64 (*.f64 a c) b_2)) |
(* -1 (/ (* a c) b_2)) |
(/.f64 (*.f64 a (neg.f64 c)) b_2) |
(* c (+ (* -1 (/ a b_2)) (/ b_2 c))) |
(*.f64 c (-.f64 (/.f64 b_2 c) (/.f64 a b_2))) |
(* c (+ (* -1 (/ a b_2)) (/ b_2 c))) |
(*.f64 c (-.f64 (/.f64 b_2 c) (/.f64 a b_2))) |
(* c (+ (* -1 (/ a b_2)) (/ b_2 c))) |
(*.f64 c (-.f64 (/.f64 b_2 c) (/.f64 a b_2))) |
(* -1 (/ (* a c) b_2)) |
(/.f64 (*.f64 a (neg.f64 c)) b_2) |
(* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2)))) |
(*.f64 c (-.f64 (/.f64 b_2 c) (/.f64 a b_2))) |
(* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2)))) |
(*.f64 c (-.f64 (/.f64 b_2 c) (/.f64 a b_2))) |
(* -1 (* c (+ (* -1 (/ b_2 c)) (/ a b_2)))) |
(*.f64 c (-.f64 (/.f64 b_2 c) (/.f64 a b_2))) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) |
(+ (* b_2 (- (* 1/2 (* (sqrt (/ 1 (* a c))) (/ b_2 (sqrt -1)))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(fma.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 b_2 (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* b_2 (- (* b_2 (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))))) 1)) (* (sqrt (* a c)) (sqrt -1))) |
(fma.f64 b_2 (fma.f64 b_2 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b_2 b_2) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) |
(* -1/2 (/ (* a c) b_2)) |
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) |
(/ (+ (* -1/2 (* a c)) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2)))) b_2) |
(/.f64 (fma.f64 a (*.f64 c #s(literal -1/2 binary64)) (*.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 a (*.f64 c (/.f64 c (*.f64 b_2 b_2))))))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4))))) b_2) |
(/.f64 (fma.f64 a (*.f64 c #s(literal -1/2 binary64)) (fma.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 a (*.f64 c (/.f64 c (*.f64 b_2 b_2))))) (*.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) a) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))))) b_2) |
(/ (+ (* -1/2 (* a c)) (+ (* -1/2 (/ (+ (* 1/64 (* (pow a 4) (pow c 4))) (* 1/16 (* (pow a 4) (pow c 4)))) (pow b_2 6))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 2))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 4)))))) b_2) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 a c (/.f64 (*.f64 (pow.f64 a #s(literal 4 binary64)) (*.f64 (pow.f64 c #s(literal 4 binary64)) #s(literal 5/64 binary64))) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 a (*.f64 c (/.f64 c (*.f64 b_2 b_2))))) (*.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 a a)) a) (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))))) b_2) |
(* -1 (* b_2 (+ 1 (pow (sqrt -1) 2)))) |
#s(literal 0 binary64) |
(* -1 (* b_2 (+ 1 (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow (sqrt -1) 2))))) |
(*.f64 b_2 (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (*.f64 b_2 b_2))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow (sqrt -1) 2)))))) |
(*.f64 (neg.f64 b_2) (fma.f64 a (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))))) |
(* -1 (* b_2 (+ 1 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (* (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow (sqrt -1) 2))))))) |
(*.f64 (+.f64 (fma.f64 a (/.f64 (*.f64 c #s(literal 1/2 binary64)) (*.f64 b_2 b_2)) (*.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))))) (/.f64 (*.f64 (*.f64 #s(literal 1/16 binary64) (*.f64 a (*.f64 a a))) (*.f64 c (*.f64 c c))) (*.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64))))) (neg.f64 b_2)) |
(* -1/2 (/ (* a c) b_2)) |
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) |
(* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3))))) |
(*.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c (/.f64 c (*.f64 b_2 (*.f64 b_2 b_2))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5))))))) |
(*.f64 a (fma.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 c (/.f64 c (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 c c))) a) (pow.f64 b_2 #s(literal 5 binary64)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))) |
(* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* a (+ (* -1/2 (/ (* a (+ (* 1/64 (/ (pow c 4) (pow b_2 6))) (* 1/16 (/ (pow c 4) (pow b_2 6))))) b_2)) (* -1/16 (/ (pow c 3) (pow b_2 5))))))))) |
(*.f64 a (fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (/.f64 (pow.f64 c #s(literal 4 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) (*.f64 #s(literal 5/64 binary64) a)) b_2) (/.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 c c))) (pow.f64 b_2 #s(literal 5 binary64)))) (*.f64 #s(literal -1/8 binary64) (*.f64 c (/.f64 c (*.f64 b_2 (*.f64 b_2 b_2)))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(*.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a))) |
(* a (- (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) |
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a)))) |
(* a (- (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) (/ b_2 a))) |
(*.f64 a (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (neg.f64 b_2) a))))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)) (neg.f64 a)) |
(* -1 (* a (+ (* -1 (/ (- (* -1/2 (* (sqrt (/ 1 (* a c))) (* (pow b_2 2) (sqrt -1)))) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(*.f64 (neg.f64 a) (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (*.f64 b_2 b_2)) (neg.f64 b_2)) a))) |
(* -1 (* a (+ (* -1 (/ (- (* -1 (/ (+ (* -1/8 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (* 1/2 (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))))) a)) b_2) a)) (* (sqrt (/ c a)) (sqrt -1))))) |
(neg.f64 (*.f64 a (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 (+.f64 (/.f64 (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (*.f64 (sqrt.f64 (/.f64 a c)) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64)))) a) b_2) a)))) |
(* -1/2 (/ (* a c) b_2)) |
(/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) |
(* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3))))) |
(*.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2))) |
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(* -1 (/ (* b_2 (+ 1 (pow (sqrt -1) 2))) a)) |
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(* (sqrt (/ c a)) (sqrt -1)) |
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(* -1/8 (pow c 2)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 c c)) |
(* -1/8 (pow c 2)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 c c)) |
(* -1/8 (pow c 2)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 c c)) |
(* -1/8 (pow c 2)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 c c)) |
(* -1/8 (pow c 2)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 c c)) |
(* -1/8 (pow c 2)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 c c)) |
(* -1/8 (pow c 2)) |
(*.f64 #s(literal -1/8 binary64) (*.f64 c c)) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (* a c)) (sqrt -1))) |
(fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1))))))) |
(fma.f64 (*.f64 b_2 b_2) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (/.f64 (*.f64 b_2 b_2) (neg.f64 (sqrt.f64 #s(literal -1 binary64))))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) |
(+ (* (sqrt (* a c)) (sqrt -1)) (* (pow b_2 2) (+ (* 1/2 (* (sqrt (/ 1 (* a c))) (/ 1 (sqrt -1)))) (* (pow b_2 2) (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))) (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 5)))) (/ (pow b_2 2) (pow (sqrt -1) 5))))))))) |
(fma.f64 (*.f64 b_2 b_2) (fma.f64 (*.f64 b_2 b_2) (fma.f64 #s(literal -1/8 binary64) (/.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (*.f64 c (*.f64 c c))))) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 5 binary64))))) (*.f64 (*.f64 b_2 (/.f64 b_2 (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64)))) #s(literal 1/16 binary64)))) (/.f64 (*.f64 #s(literal 1/2 binary64) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c)))) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)))) |
b_2 |
(* b_2 (+ 1 (* -1/2 (/ (* a c) (pow b_2 2))))) |
(fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) (*.f64 #s(literal -1/2 binary64) b_2) b_2) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4)))))) |
(fma.f64 b_2 (fma.f64 a (*.f64 (/.f64 c (*.f64 b_2 b_2)) #s(literal -1/2 binary64)) (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (/.f64 (*.f64 c c) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))))) b_2) |
(* b_2 (+ 1 (+ (* -1/2 (/ (* a c) (pow b_2 2))) (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (pow b_2 4))) (* -1/16 (/ (* (pow a 3) (pow c 3)) (pow b_2 6))))))) |
(fma.f64 b_2 (fma.f64 #s(literal -1/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (fma.f64 #s(literal -1/16 binary64) (*.f64 (*.f64 c (*.f64 c c)) (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b_2 #s(literal 6 binary64)))) (*.f64 #s(literal -1/2 binary64) (*.f64 a (/.f64 c (*.f64 b_2 b_2)))))) b_2) |
(* -1 (* b_2 (pow (sqrt -1) 2))) |
b_2 |
(* -1 (* b_2 (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow (sqrt -1) 2)))) |
(fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) (*.f64 #s(literal -1/2 binary64) b_2) b_2) |
(* -1 (* b_2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow (sqrt -1) 2))))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal 1/2 binary64) #s(literal -1 binary64))) (neg.f64 b_2)) |
(* -1 (* b_2 (+ (* -1/8 (/ (* (pow a 2) (pow c 2)) (* (pow b_2 4) (pow (sqrt -1) 2)))) (+ (* 1/16 (/ (* (pow a 3) (pow c 3)) (* (pow b_2 6) (pow (sqrt -1) 4)))) (+ (* 1/2 (/ (* a c) (pow b_2 2))) (pow (sqrt -1) 2)))))) |
(*.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (fma.f64 (*.f64 a (*.f64 a a)) (*.f64 (/.f64 (*.f64 c (*.f64 c c)) (*.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 4 binary64)))) #s(literal 1/16 binary64)) (fma.f64 (*.f64 a (/.f64 c (*.f64 b_2 b_2))) #s(literal 1/2 binary64) #s(literal -1 binary64)))) (neg.f64 b_2)) |
b_2 |
(+ b_2 (* -1/2 (/ (* a c) b_2))) |
(fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* -1/8 (/ (* a (pow c 2)) (pow b_2 3)))))) |
(fma.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 a (*.f64 c (/.f64 c (*.f64 b_2 (*.f64 b_2 b_2))))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)) b_2) |
(+ b_2 (* a (+ (* -1/2 (/ c b_2)) (* a (+ (* -1/8 (/ (pow c 2) (pow b_2 3))) (* -1/16 (/ (* a (pow c 3)) (pow b_2 5)))))))) |
(fma.f64 a (fma.f64 a (fma.f64 #s(literal -1/8 binary64) (*.f64 c (/.f64 c (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 (*.f64 #s(literal -1/16 binary64) (*.f64 c (*.f64 c c))) a) (pow.f64 b_2 #s(literal 5 binary64)))) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)) b_2) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))) |
(*.f64 a (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))))) |
(* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 a (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64)))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* a (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))) |
(*.f64 (neg.f64 a) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1)))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal 1/2 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2))) (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) #s(literal -1/8 binary64)))))) |
(* -1 (* a (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 5) (pow c 3)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 7) (pow c 5)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ c a)) (sqrt -1))))))) |
(*.f64 (neg.f64 a) (fma.f64 #s(literal -1/8 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 c c) (*.f64 c (pow.f64 a #s(literal 5 binary64)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)))) (fma.f64 #s(literal 1/16 binary64) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 c #s(literal 5 binary64)) (pow.f64 a #s(literal 7 binary64))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64)))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 a (*.f64 a c))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))))))) |
b_2 |
(+ b_2 (* -1/2 (/ (* a c) b_2))) |
(fma.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) b_2) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* -1/8 (/ (* (pow a 2) c) (pow b_2 3)))))) |
(fma.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2)) b_2) |
(+ b_2 (* c (+ (* -1/2 (/ a b_2)) (* c (+ (* -1/8 (/ (pow a 2) (pow b_2 3))) (* -1/16 (/ (* (pow a 3) c) (pow b_2 5)))))))) |
(fma.f64 c (fma.f64 c (fma.f64 (/.f64 (*.f64 a (*.f64 a a)) (pow.f64 b_2 #s(literal 5 binary64))) (*.f64 #s(literal -1/16 binary64) c) (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (*.f64 #s(literal -1/2 binary64) a) b_2)) b_2) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))) |
(*.f64 c (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (/ (pow b_2 4) (pow (sqrt -1) 3)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (/ (pow b_2 6) (pow (sqrt -1) 5)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 c (fma.f64 #s(literal -1/8 binary64) (*.f64 (/.f64 (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64)))))) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (/.f64 (pow.f64 b_2 #s(literal 6 binary64)) (pow.f64 (sqrt.f64 #s(literal -1 binary64)) #s(literal 5 binary64))) #s(literal 1/16 binary64)) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c))))) (*.f64 (/.f64 (*.f64 b_2 b_2) (sqrt.f64 #s(literal -1 binary64))) #s(literal 1/2 binary64)) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* c (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))) |
(neg.f64 (*.f64 c (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1)))))) |
(*.f64 (neg.f64 c) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c)))))) |
(* -1 (* c (+ (* -1/8 (* (sqrt (/ 1 (* (pow a 3) (pow c 5)))) (* (pow b_2 4) (sqrt -1)))) (+ (* 1/16 (* (sqrt (/ 1 (* (pow a 5) (pow c 7)))) (* (pow b_2 6) (sqrt -1)))) (+ (* 1/2 (* (sqrt (/ 1 (* a (pow c 3)))) (* (pow b_2 2) (sqrt -1)))) (* (sqrt (/ a c)) (sqrt -1))))))) |
(*.f64 (neg.f64 c) (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (pow.f64 a #s(literal 5 binary64)) (pow.f64 c #s(literal 7 binary64))))) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (pow.f64 b_2 #s(literal 6 binary64))) #s(literal 1/16 binary64)) (fma.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 (*.f64 b_2 b_2) (*.f64 b_2 b_2))) (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 a (*.f64 a a)) (pow.f64 c #s(literal 5 binary64))))) #s(literal -1/8 binary64)) (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (*.f64 b_2 b_2)) (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (*.f64 c (*.f64 c c)))))) (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 a c))))))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
(/ (* a c) (pow b_2 2)) |
(*.f64 a (/.f64 c (*.f64 b_2 b_2))) |
Compiled 34 308 to 3 727 computations (89.1% saved)
21 alts after pruning (19 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 526 | 17 | 1 543 |
| Fresh | 5 | 2 | 7 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 535 | 21 | 1 556 |
| Status | Accuracy | Program |
|---|---|---|
| 20.6% | (/.f64 (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2)) a) | |
| 17.7% | (/.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) (neg.f64 b_2)) a) | |
| 34.1% | (/.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))) a) | |
| 31.7% | (/.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c))) (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))))) | |
| ▶ | 35.3% | (/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a) |
| ✓ | 53.0% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 34.0% | (/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c))) (/.f64 #s(literal 1 binary64) a)) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))) | |
| 27.0% | (/.f64 (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c) a) | |
| 34.7% | (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) | |
| 35.1% | (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) | |
| 14.1% | (/.f64 (neg.f64 b_2) a) | |
| 34.2% | (/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)) | |
| ▶ | 35.2% | (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))) |
| 33.0% | (-.f64 (/.f64 (sqrt.f64 (*.f64 b_2 (fma.f64 (neg.f64 b_2) (*.f64 a (/.f64 c (*.f64 b_2 b_2))) b_2))) a) (/.f64 b_2 a)) | |
| ▶ | 35.2% | (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)) |
| 20.2% | (*.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (*.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) | |
| 26.6% | (*.f64 (*.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 a))) | |
| ✓ | 34.6% | (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
| ▶ | 23.9% | (*.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a))) |
| 33.4% | (neg.f64 (*.f64 b_2 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))) | |
| ▶ | 10.2% | #s(literal 0 binary64) |
Compiled 594 to 374 computations (37% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (sqrt.f64 (neg.f64 (*.f64 a c))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) |
| ✓ | cost-diff | 0 | (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)) |
| ✓ | cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (neg.f64 (*.f64 a c))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) a) |
| ✓ | cost-diff | 320 | (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)) |
| ✓ | cost-diff | 0 | (*.f64 b_2 a) |
| ✓ | cost-diff | 0 | (*.f64 c #s(literal -1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a)) |
| ✓ | cost-diff | 640 | (*.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a))) |
| ✓ | cost-diff | 0 | (neg.f64 (*.f64 a c)) |
| ✓ | cost-diff | 0 | (sqrt.f64 (neg.f64 (*.f64 a c))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a) |
| 3 760× | lower-*.f32 |
| 3 750× | lower-*.f64 |
| 2 844× | lower-fma.f64 |
| 2 844× | lower-fma.f32 |
| 2 628× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 138 |
| 0 | 32 | 134 |
| 1 | 61 | 134 |
| 2 | 132 | 130 |
| 3 | 287 | 130 |
| 4 | 609 | 130 |
| 5 | 1358 | 130 |
| 6 | 1947 | 130 |
| 7 | 2605 | 130 |
| 8 | 2932 | 130 |
| 9 | 3602 | 130 |
| 10 | 5469 | 130 |
| 11 | 6932 | 130 |
| 12 | 7148 | 130 |
| 13 | 7291 | 130 |
| 14 | 7395 | 130 |
| 0 | 8339 | 130 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a) |
(-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) |
(sqrt.f64 (neg.f64 (*.f64 a c))) |
(neg.f64 (*.f64 a c)) |
(*.f64 a c) |
a |
c |
b_2 |
#s(literal 0 binary64) |
(*.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a))) |
a |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a)) |
(*.f64 c #s(literal -1/2 binary64)) |
c |
#s(literal -1/2 binary64) |
(*.f64 b_2 a) |
b_2 |
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) |
(sqrt.f64 (neg.f64 (*.f64 a c))) |
(neg.f64 (*.f64 a c)) |
(*.f64 a c) |
c |
b_2 |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))) |
#s(literal 1 binary64) |
(/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)) |
a |
(-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) |
(sqrt.f64 (neg.f64 (*.f64 a c))) |
(neg.f64 (*.f64 a c)) |
(*.f64 a c) |
c |
b_2 |
| Outputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) |
(-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) |
(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) |
(sqrt.f64 (neg.f64 (*.f64 a c))) |
(sqrt.f64 (*.f64 c (neg.f64 a))) |
(neg.f64 (*.f64 a c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 a c) |
a |
c |
b_2 |
#s(literal 0 binary64) |
(*.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a))) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) |
a |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a)) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 a b_2)) |
(*.f64 c #s(literal -1/2 binary64)) |
c |
#s(literal -1/2 binary64) |
(*.f64 b_2 a) |
(*.f64 a b_2) |
b_2 |
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) |
(/.f64 #s(literal 1 binary64) a) |
#s(literal 1 binary64) |
a |
(-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) |
(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) |
(sqrt.f64 (neg.f64 (*.f64 a c))) |
(sqrt.f64 (*.f64 c (neg.f64 a))) |
(neg.f64 (*.f64 a c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 a c) |
c |
b_2 |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) |
#s(literal 1 binary64) |
(/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)) |
(/.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) |
a |
(-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) |
(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) |
(sqrt.f64 (neg.f64 (*.f64 a c))) |
(sqrt.f64 (*.f64 c (neg.f64 a))) |
(neg.f64 (*.f64 a c)) |
(*.f64 c (neg.f64 a)) |
(*.f64 a c) |
c |
b_2 |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) |
| ✓ | accuracy | 99.8% | (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))) |
| ✓ | accuracy | 87.9% | (sqrt.f64 (neg.f64 (*.f64 a c))) |
| ✓ | accuracy | 100.0% | (neg.f64 (*.f64 a c)) |
| ✓ | accuracy | 100.0% | (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) |
| ✓ | accuracy | 99.7% | (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)) |
| ✓ | accuracy | 87.9% | (sqrt.f64 (neg.f64 (*.f64 a c))) |
| ✓ | accuracy | 100.0% | (*.f64 c #s(literal -1/2 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 b_2 a) |
| ✓ | accuracy | 93.1% | (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a)) |
| ✓ | accuracy | 91.1% | (*.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a))) |
| ✓ | accuracy | 100.0% | (neg.f64 (*.f64 a c)) |
| ✓ | accuracy | 100.0% | (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) |
| ✓ | accuracy | 99.9% | (/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a) |
| ✓ | accuracy | 87.9% | (sqrt.f64 (neg.f64 (*.f64 a c))) |
| 23.0ms | 160× | 0 | valid |
| 12.0ms | 96× | 0 | invalid |
Compiled 140 to 21 computations (85% saved)
ival-div: 8.0ms (38.9% of total)ival-mult: 8.0ms (38.9% of total)ival-sqrt: 2.0ms (9.7% of total)ival-sub: 1.0ms (4.9% of total)ival-neg: 1.0ms (4.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a)> |
#<alt (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)> |
#<alt (sqrt.f64 (neg.f64 (*.f64 a c)))> |
#<alt (neg.f64 (*.f64 a c))> |
#<alt (*.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a)))> |
#<alt (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a))> |
#<alt (*.f64 c #s(literal -1/2 binary64))> |
#<alt (*.f64 b_2 a)> |
#<alt (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))> |
#<alt (/.f64 #s(literal 1 binary64) a)> |
#<alt (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)))> |
#<alt (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))> |
| Outputs |
|---|
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))> |
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))> |
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))> |
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))> |
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))> |
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))> |
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))> |
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))> |
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))> |
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)> |
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)> |
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)> |
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))> |
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))> |
#<alt (* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))> |
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))> |
#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))> |
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)> |
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)> |
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)> |
#<alt (- (* (sqrt (* a c)) (sqrt -1)) b_2)> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))> |
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))> |
#<alt (* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1))))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))> |
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))> |
#<alt (* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c))))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 b_2)> |
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))> |
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))> |
#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))> |
#<alt (* -1 b_2)> |
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))> |
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))> |
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* a c))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 c)> |
#<alt (* -1/2 c)> |
#<alt (* -1/2 c)> |
#<alt (* -1/2 c)> |
#<alt (* -1/2 c)> |
#<alt (* -1/2 c)> |
#<alt (* -1/2 c)> |
#<alt (* -1/2 c)> |
#<alt (* -1/2 c)> |
#<alt (* -1/2 c)> |
#<alt (* -1/2 c)> |
#<alt (* -1/2 c)> |
#<alt (* a b_2)> |
#<alt (* a b_2)> |
#<alt (* a b_2)> |
#<alt (* a b_2)> |
#<alt (* a b_2)> |
#<alt (* a b_2)> |
#<alt (* a b_2)> |
#<alt (* a b_2)> |
#<alt (* a b_2)> |
#<alt (* a b_2)> |
#<alt (* a b_2)> |
#<alt (* a b_2)> |
#<alt (* a b_2)> |
#<alt (* a b_2)> |
#<alt (* a b_2)> |
#<alt (* a b_2)> |
#<alt (* a b_2)> |
#<alt (* a b_2)> |
#<alt (* a b_2)> |
#<alt (* a b_2)> |
#<alt (* a b_2)> |
#<alt (* a b_2)> |
#<alt (* a b_2)> |
#<alt (* a b_2)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))> |
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))> |
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))> |
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))> |
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))> |
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))> |
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))> |
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))> |
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ 1 a)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))> |
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))> |
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))> |
#<alt (* -1 (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))> |
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))> |
#<alt (* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c)))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))> |
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))> |
#<alt (* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a)))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))> |
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))> |
#<alt (* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))))> |
#<alt (/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))> |
#<alt (/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))> |
#<alt (/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))> |
#<alt (/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))> |
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -1)))> |
#<alt (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))> |
#<alt (- (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))> |
#<alt (- (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ (pow b_2 3) (* a (* (pow c 2) (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2))))))> |
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c)))> |
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1))) (* -1 (/ (* a b_2) c))) a)))> |
#<alt (+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (/ (* a (pow b_2 3)) (pow c 2)) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) a)) (* -1 (/ (* a b_2) c))) a)))> |
#<alt (/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))> |
#<alt (/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))> |
#<alt (/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))> |
#<alt (/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2))> |
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -1)))> |
#<alt (/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c)> |
#<alt (/ (- (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c)> |
#<alt (/ (- (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (pow (sqrt -1) 2))))) c)> |
#<alt (* -1 (* (sqrt (/ a c)) (sqrt -1)))> |
#<alt (* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow b_2 3) c) a)) (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c))> |
#<alt (* (sqrt (/ a c)) (/ 1 (sqrt -1)))> |
#<alt (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2))))> |
#<alt (+ (* b_2 (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ b_2 (pow (sqrt -1) 3))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))> |
#<alt (+ (* b_2 (+ (* b_2 (- (/ b_2 (* a (* (pow c 2) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1))))> |
#<alt (* -1 (/ a b_2))> |
#<alt (/ (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))) b_2)> |
#<alt (/ (- (+ (* -1 a) (* -1 (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) (pow b_2 2)))) (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2))) b_2)> |
#<alt (/ (- (+ (* -1 a) (* -1 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -1) 3) (pow b_2 3))))) (+ (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)) (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) (pow b_2 2)))) b_2)> |
#<alt (* -1 (/ a b_2))> |
#<alt (* -1 (/ (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2))) b_2))> |
#<alt (* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1))) b_2))) b_2))> |
#<alt (* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (- (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -1) 3) b_2)) (* -1 (* (pow a 2) (* c (pow (sqrt -1) 2))))) b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1))) b_2))) b_2))> |
87 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | b_2 | @ | -inf | (/ (- (sqrt (neg (* a c))) b_2) a) |
| 2.0ms | a | @ | inf | (/ a (- (sqrt (neg (* a c))) b_2)) |
| 1.0ms | b_2 | @ | -inf | (/ (* c -1/2) (* b_2 a)) |
| 1.0ms | a | @ | 0 | (/ a (- (sqrt (neg (* a c))) b_2)) |
| 1.0ms | c | @ | inf | (/ a (- (sqrt (neg (* a c))) b_2)) |
| 1× | batch-egg-rewrite |
| 3 942× | lower-*.f32 |
| 3 932× | lower-*.f64 |
| 3 714× | lower-fma.f64 |
| 3 714× | lower-fma.f32 |
| 2 976× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 18 | 81 |
| 0 | 31 | 77 |
| 1 | 101 | 77 |
| 2 | 608 | 73 |
| 3 | 6170 | 73 |
| 0 | 8079 | 73 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a) |
(-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) |
(sqrt.f64 (neg.f64 (*.f64 a c))) |
(neg.f64 (*.f64 a c)) |
(*.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a))) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a)) |
(*.f64 c #s(literal -1/2 binary64)) |
(*.f64 b_2 a) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)) |
(/.f64 #s(literal 1 binary64) a) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))) |
(/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)) |
| Outputs |
|---|
(exp.f64 (log.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a))) |
(+.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 (neg.f64 a))) |
(+.f64 (/.f64 b_2 (neg.f64 a)) (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a)) |
(+.f64 (*.f64 (/.f64 #s(literal -1 binary64) a) (neg.f64 (sqrt.f64 (*.f64 c (neg.f64 a))))) (/.f64 b_2 (neg.f64 a))) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) a)) |
(-.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 b_2 a)) |
(-.f64 (/.f64 (/.f64 (neg.f64 (*.f64 (*.f64 a c) (sqrt.f64 (*.f64 c (neg.f64 a))))) (fma.f64 b_2 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) (*.f64 c (neg.f64 a)))) a) (/.f64 (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (fma.f64 b_2 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) (*.f64 c (neg.f64 a)))) a)) |
(-.f64 (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) a) (/.f64 (/.f64 (*.f64 b_2 b_2) (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) a)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 a)) (/.f64 (-.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))) a)) |
(-.f64 (/.f64 (neg.f64 (*.f64 (*.f64 a c) (sqrt.f64 (*.f64 c (neg.f64 a))))) (*.f64 a (fma.f64 b_2 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) (*.f64 c (neg.f64 a))))) (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 a (fma.f64 b_2 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) (*.f64 c (neg.f64 a)))))) |
(-.f64 (/.f64 (*.f64 c (neg.f64 a)) (*.f64 a (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))) (/.f64 (*.f64 b_2 b_2) (*.f64 a (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)))) |
(-.f64 (/.f64 (*.f64 a (sqrt.f64 (*.f64 c (neg.f64 a)))) (*.f64 a a)) (/.f64 (*.f64 a b_2) (*.f64 a a))) |
(-.f64 (/.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 (*.f64 c (neg.f64 a)) (*.f64 a a))) (fma.f64 (/.f64 b_2 a) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) (/.f64 (*.f64 c (neg.f64 a)) (*.f64 a a)))) (/.f64 (*.f64 (/.f64 b_2 a) (/.f64 (*.f64 b_2 b_2) (*.f64 a a))) (fma.f64 (/.f64 b_2 a) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) (/.f64 (*.f64 c (neg.f64 a)) (*.f64 a a))))) |
(-.f64 (/.f64 (/.f64 (*.f64 c (neg.f64 a)) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))) (/.f64 (/.f64 (*.f64 b_2 b_2) (*.f64 a a)) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)))) |
(fma.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) (/.f64 #s(literal 1 binary64) a) (/.f64 b_2 (neg.f64 a))) |
(fma.f64 b_2 (/.f64 #s(literal -1 binary64) a) (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a)) |
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(*.f64 (/.f64 a (-.f64 (neg.f64 (*.f64 (*.f64 a c) (sqrt.f64 (*.f64 c (neg.f64 a))))) (*.f64 b_2 (*.f64 b_2 b_2)))) (fma.f64 b_2 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) (*.f64 c (neg.f64 a)))) |
(*.f64 (/.f64 a (-.f64 (neg.f64 (*.f64 (*.f64 a c) (sqrt.f64 (*.f64 c (neg.f64 a))))) (*.f64 b_2 (*.f64 b_2 b_2)))) (fma.f64 (neg.f64 b_2) (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 c (neg.f64 a)))) (*.f64 c (neg.f64 a)))) |
(*.f64 (/.f64 a (-.f64 (neg.f64 (*.f64 (*.f64 a c) (sqrt.f64 (*.f64 c (neg.f64 a))))) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) (*.f64 c (neg.f64 a)))))) |
(*.f64 (/.f64 a (-.f64 (neg.f64 (*.f64 (*.f64 a c) (sqrt.f64 (*.f64 c (neg.f64 a))))) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (fma.f64 b_2 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) (*.f64 c (neg.f64 a))) #s(literal 1 binary64))) |
(*.f64 (/.f64 a (-.f64 (neg.f64 (*.f64 (*.f64 a c) (sqrt.f64 (*.f64 c (neg.f64 a))))) (*.f64 b_2 (*.f64 b_2 b_2)))) (*.f64 (fma.f64 b_2 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) (*.f64 c (neg.f64 a))) #s(literal 1 binary64))) |
(*.f64 (/.f64 a (neg.f64 (fma.f64 a c (*.f64 b_2 b_2)))) (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) |
(*.f64 (/.f64 a (neg.f64 (fma.f64 a c (*.f64 b_2 b_2)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)))) |
(*.f64 (/.f64 a (neg.f64 (fma.f64 a c (*.f64 b_2 b_2)))) (*.f64 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) #s(literal 1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) #s(literal 1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) #s(literal 1 binary64)) a) |
(*.f64 (pow.f64 (neg.f64 a) #s(literal 1 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) #s(literal 1 binary64)) (pow.f64 (neg.f64 a) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 a (-.f64 (neg.f64 (*.f64 (*.f64 a c) (sqrt.f64 (*.f64 c (neg.f64 a))))) (*.f64 b_2 (*.f64 b_2 b_2)))) #s(literal 1 binary64)) (pow.f64 (fma.f64 b_2 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) (*.f64 c (neg.f64 a))) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 a (neg.f64 (fma.f64 a c (*.f64 b_2 b_2)))) #s(literal 1 binary64)) (pow.f64 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 a)) (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (pow.f64 a #s(literal -1/2 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) (pow.f64 a #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (*.f64 a c) (sqrt.f64 (*.f64 c (neg.f64 a))))) (*.f64 b_2 (*.f64 b_2 b_2)))) #s(literal 1 binary64)) (*.f64 a (fma.f64 b_2 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) (*.f64 c (neg.f64 a))))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (*.f64 a c) (sqrt.f64 (*.f64 c (neg.f64 a))))) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 #s(literal 1 binary64) a)) (/.f64 (fma.f64 b_2 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) (*.f64 c (neg.f64 a))) #s(literal 1 binary64))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (*.f64 a c) (sqrt.f64 (*.f64 c (neg.f64 a))))) (*.f64 b_2 (*.f64 b_2 b_2)))) #s(literal -1 binary64)) (/.f64 (fma.f64 b_2 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) (*.f64 c (neg.f64 a))) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (neg.f64 (*.f64 (*.f64 a c) (sqrt.f64 (*.f64 c (neg.f64 a))))) (*.f64 b_2 (*.f64 b_2 b_2)))) (pow.f64 a #s(literal -1/2 binary64))) (/.f64 (fma.f64 b_2 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) (*.f64 c (neg.f64 a))) (pow.f64 a #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a c (*.f64 b_2 b_2)))) #s(literal 1 binary64)) (*.f64 a (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a c (*.f64 b_2 b_2)))) (/.f64 #s(literal 1 binary64) a)) (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a c (*.f64 b_2 b_2)))) #s(literal -1 binary64)) (/.f64 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) (/.f64 #s(literal -1 binary64) a))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 a c (*.f64 b_2 b_2)))) (pow.f64 a #s(literal -1/2 binary64))) (/.f64 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) (pow.f64 a #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) a) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) #s(literal 1/2 binary64)) (pow.f64 (/.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (neg.f64 (*.f64 (*.f64 a c) (sqrt.f64 (*.f64 c (neg.f64 a))))) (*.f64 b_2 (*.f64 b_2 b_2))))) (fma.f64 b_2 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) (*.f64 c (neg.f64 a)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 (fma.f64 a c (*.f64 b_2 b_2))))) (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 b_2 (sqrt.f64 (*.f64 c (neg.f64 a))))) #s(literal -1 binary64)) a) |
(*.f64 (/.f64 (neg.f64 a) (-.f64 (neg.f64 (*.f64 (*.f64 a c) (sqrt.f64 (*.f64 c (neg.f64 a))))) (*.f64 b_2 (*.f64 b_2 b_2)))) (neg.f64 (fma.f64 b_2 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) (*.f64 c (neg.f64 a))))) |
(*.f64 (/.f64 (neg.f64 a) (neg.f64 (fma.f64 a c (*.f64 b_2 b_2)))) (neg.f64 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))) |
(*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) #s(literal -1 binary64)) (neg.f64 a)) |
(*.f64 (/.f64 a (neg.f64 (-.f64 (neg.f64 (*.f64 (*.f64 a c) (sqrt.f64 (*.f64 c (neg.f64 a))))) (*.f64 b_2 (*.f64 b_2 b_2))))) (neg.f64 (fma.f64 b_2 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) (*.f64 c (neg.f64 a))))) |
(*.f64 (/.f64 a (neg.f64 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2))))) (neg.f64 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (neg.f64 (*.f64 (*.f64 a c) (sqrt.f64 (*.f64 c (neg.f64 a))))) (*.f64 b_2 (*.f64 b_2 b_2))))) (neg.f64 (*.f64 a (fma.f64 b_2 (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) (*.f64 c (neg.f64 a)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2))))) (*.f64 (neg.f64 a) (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))) |
(*.f64 (/.f64 #s(literal 1 binary64) (*.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))) (*.f64 a a)) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 (/.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) a) (/.f64 (*.f64 c (neg.f64 a)) (*.f64 a a))) (*.f64 (/.f64 b_2 a) (/.f64 (*.f64 b_2 b_2) (*.f64 a a))))) (fma.f64 (/.f64 b_2 a) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) (/.f64 (*.f64 c (neg.f64 a)) (*.f64 a a)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 (*.f64 c (neg.f64 a)) (*.f64 a a)) (/.f64 (*.f64 b_2 b_2) (*.f64 a a)))) (*.f64 (/.f64 #s(literal 1 binary64) a) (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))) |
| 1× | egg-herbie |
| 7 414× | lower-fma.f64 |
| 7 414× | lower-fma.f32 |
| 4 512× | lower-*.f64 |
| 4 512× | lower-*.f32 |
| 3 750× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 237 | 3391 |
| 1 | 738 | 3232 |
| 2 | 2462 | 3147 |
| 3 | 7686 | 3145 |
| 0 | 8328 | 3082 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b_2 a)) |
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))) |
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))) |
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))) |
(* -1 (/ b_2 a)) |
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))) |
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))) |
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(* (sqrt (* a c)) (sqrt -1)) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(* (sqrt (* a c)) (sqrt -1)) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* (sqrt (* a c)) (sqrt -1)) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(* -1 b_2) |
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1)) |
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1)) |
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1)) |
(* -1 b_2) |
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))) |
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))) |
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1 (* a c)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* -1/2 c) |
(* a b_2) |
(* a b_2) |
(* a b_2) |
(* a b_2) |
(* a b_2) |
(* a b_2) |
(* a b_2) |
(* a b_2) |
(* a b_2) |
(* a b_2) |
(* a b_2) |
(* a b_2) |
(* a b_2) |
(* a b_2) |
(* a b_2) |
(* a b_2) |
(* a b_2) |
(* a b_2) |
(* a b_2) |
(* a b_2) |
(* a b_2) |
(* a b_2) |
(* a b_2) |
(* a b_2) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b_2 a)) |
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))) |
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))) |
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))) |
(* -1 (/ b_2 a)) |
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))) |
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))) |
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ 1 a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b_2 a)) |
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))) |
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))) |
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))) |
(* -1 (/ b_2 a)) |
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))) |
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))) |
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))) |
(/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2)) |
(/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2)) |
(/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2)) |
(/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2)) |
(* (sqrt (/ a c)) (/ 1 (sqrt -1))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2)))) |
(- (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2))))) |
(- (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ (pow b_2 3) (* a (* (pow c 2) (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))) |
(* -1 (* (sqrt (/ a c)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ b_2 c))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* (sqrt (/ a (pow c 3))) (* (pow b_2 2) (sqrt -1))) (* -1 (/ (* a b_2) c))) a))) |
(+ (* -1 (* (sqrt (/ a c)) (sqrt -1))) (* -1 (/ (- (* -1 (/ (- (/ (* a (pow b_2 3)) (pow c 2)) (* (sqrt (/ (pow a 3) (pow c 3))) (* (pow b_2 2) (sqrt -1)))) a)) (* -1 (/ (* a b_2) c))) a))) |
(/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2)) |
(/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2)) |
(/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2)) |
(/ a (- (* (sqrt (* a c)) (sqrt -1)) b_2)) |
(* (sqrt (/ a c)) (/ 1 (sqrt -1))) |
(/ (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ b_2 (pow (sqrt -1) 2))) c) |
(/ (- (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (pow (sqrt -1) 2)))) c) |
(/ (- (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (pow (sqrt -1) 2))))) c) |
(* -1 (* (sqrt (/ a c)) (sqrt -1))) |
(* -1 (/ (+ b_2 (* (sqrt (* a c)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (* (sqrt (/ c a)) (* (pow b_2 2) (sqrt -1)))) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow b_2 3) c) a)) (* -1 (* (sqrt (/ (pow c 3) a)) (* (pow b_2 2) (sqrt -1))))) c)) (* b_2 c)) c)) (* (sqrt (* a c)) (sqrt -1))) c)) |
(* (sqrt (/ a c)) (/ 1 (sqrt -1))) |
(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2)))) |
(+ (* b_2 (+ (* (sqrt (/ 1 (* a (pow c 3)))) (/ b_2 (pow (sqrt -1) 3))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) |
(+ (* b_2 (+ (* b_2 (- (/ b_2 (* a (* (pow c 2) (pow (sqrt -1) 4)))) (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ 1 (pow (sqrt -1) 3)))))) (/ 1 (* c (pow (sqrt -1) 2))))) (* (sqrt (/ a c)) (/ 1 (sqrt -1)))) |
(* -1 (/ a b_2)) |
(/ (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))) b_2) |
(/ (- (+ (* -1 a) (* -1 (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) (pow b_2 2)))) (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2))) b_2) |
(/ (- (+ (* -1 a) (* -1 (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -1) 3) (pow b_2 3))))) (+ (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)) (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) (pow b_2 2)))) b_2) |
(* -1 (/ a b_2)) |
(* -1 (/ (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2))) b_2)) |
(* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1))) b_2))) b_2)) |
(* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (- (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -1) 3) b_2)) (* -1 (* (pow a 2) (* c (pow (sqrt -1) 2))))) b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1))) b_2))) b_2)) |
| Outputs |
|---|
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a)) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 a)) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 a)) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(-.f64 (*.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -1 binary64)))) (/.f64 b_2 a)) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a)) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))) |
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a))) |
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))) |
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a))) |
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))) |
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a))) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))) |
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a))) |
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))) |
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a))) |
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))) |
(*.f64 b_2 (fma.f64 (sqrt.f64 (/.f64 c a)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (/.f64 #s(literal -1 binary64) a))) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(*.f64 a (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a))) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(*.f64 a (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a))) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(*.f64 a (-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)) (neg.f64 a)) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)) (neg.f64 a)) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(*.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a)) (neg.f64 a)) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 c (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b_2)) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 c (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b_2)) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 c (sqrt.f64 #s(literal -1 binary64))) (neg.f64 b_2)) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(*.f64 (sqrt.f64 (*.f64 a c)) (neg.f64 (sqrt.f64 #s(literal -1 binary64)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 c (sqrt.f64 #s(literal -1 binary64))) b_2)) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 c (sqrt.f64 #s(literal -1 binary64))) b_2)) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(neg.f64 (fma.f64 (sqrt.f64 (/.f64 a c)) (*.f64 c (sqrt.f64 #s(literal -1 binary64))) b_2)) |
(* (sqrt (* a c)) (sqrt -1)) |
(*.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64))) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) |
(* -1 b_2) |
(neg.f64 b_2) |
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1)) |
(*.f64 b_2 (fma.f64 (sqrt.f64 (*.f64 a c)) (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) #s(literal -1 binary64))) |
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1)) |
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(neg.f64 (fma.f64 (sqrt.f64 (/.f64 #s(literal 1 binary64) (*.f64 a c))) (*.f64 c (sqrt.f64 #s(literal -1 binary64))) (/.f64 b_2 a))) |
(* (sqrt (/ c a)) (sqrt -1)) |
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(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
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(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
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(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
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(/.f64 (fma.f64 (sqrt.f64 (*.f64 a c)) (sqrt.f64 #s(literal -1 binary64)) (neg.f64 b_2)) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) |
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(-.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a))) (/.f64 b_2 a)) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)))) |
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(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))) |
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(neg.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 c a)) (/.f64 b_2 a))) |
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(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
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(* (sqrt (/ c a)) (sqrt -1)) |
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(+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ b_2 (* c (pow (sqrt -1) 2)))) |
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(- (+ (* (sqrt (/ a c)) (/ 1 (sqrt -1))) (/ (pow b_2 3) (* a (* (pow c 2) (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ 1 (* a (pow c 3)))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (* c (pow (sqrt -1) 2)))))) |
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(* -1 (* (sqrt (/ a c)) (sqrt -1))) |
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(/ (- (+ (* (sqrt (* a c)) (/ 1 (sqrt -1))) (/ (pow b_2 3) (* a (* c (pow (sqrt -1) 4))))) (+ (* -1 (* (sqrt (/ 1 (* a c))) (/ (pow b_2 2) (pow (sqrt -1) 3)))) (* -1 (/ b_2 (pow (sqrt -1) 2))))) c) |
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(* -1 (/ (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2))) b_2)) |
(/.f64 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (sqrt.f64 (*.f64 (*.f64 a c) (*.f64 a a))) a) (neg.f64 b_2)) |
(* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (* (pow a 2) (* c (pow (sqrt -1) 2))) b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1))) b_2))) b_2)) |
(/.f64 (-.f64 (/.f64 (fma.f64 a (/.f64 (*.f64 a c) b_2) (*.f64 (neg.f64 (sqrt.f64 #s(literal -1 binary64))) (sqrt.f64 (*.f64 (*.f64 a c) (*.f64 a a))))) b_2) a) b_2) |
(* -1 (/ (+ a (* -1 (/ (- (* -1 (/ (- (* (sqrt (* (pow a 5) (pow c 3))) (/ (pow (sqrt -1) 3) b_2)) (* -1 (* (pow a 2) (* c (pow (sqrt -1) 2))))) b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1))) b_2))) b_2)) |
(/.f64 (+.f64 a (/.f64 (fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 (*.f64 a c) (*.f64 a a))) (/.f64 (-.f64 (*.f64 (sqrt.f64 (*.f64 (*.f64 c (*.f64 c c)) (pow.f64 a #s(literal 5 binary64)))) (neg.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2))) (*.f64 a (*.f64 a c))) b_2)) b_2)) (neg.f64 b_2)) |
Compiled 47 925 to 3 246 computations (93.2% saved)
29 alts after pruning (22 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 318 | 14 | 2 332 |
| Fresh | 6 | 8 | 14 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2 324 | 29 | 2 353 |
| Status | Accuracy | Program |
|---|---|---|
| 20.6% | (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 a)) (sqrt.f64 (neg.f64 c)) (/.f64 b_2 (neg.f64 a))) | |
| 19.2% | (fma.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 (neg.f64 c)) a) (/.f64 b_2 (neg.f64 a))) | |
| 20.6% | (/.f64 (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2)) a) | |
| 17.7% | (/.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) (neg.f64 b_2)) a) | |
| 32.3% | (/.f64 (/.f64 (*.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) a) a) | |
| ✓ | 35.3% | (/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a) |
| ✓ | 53.0% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 27.0% | (/.f64 (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c) a) | |
| 34.7% | (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) | |
| ▶ | 35.1% | (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) |
| ▶ | 24.0% | (/.f64 (*.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) (*.f64 a a)) |
| ▶ | 31.7% | (/.f64 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2))) (*.f64 a (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))) |
| ▶ | 14.1% | (/.f64 (neg.f64 b_2) a) |
| 20.6% | (/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2)))) | |
| 17.7% | (/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) (neg.f64 b_2)))) | |
| ✓ | 35.2% | (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))) |
| 34.2% | (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)) | |
| 33.0% | (-.f64 (/.f64 (sqrt.f64 (*.f64 b_2 (fma.f64 (neg.f64 b_2) (*.f64 a (/.f64 c (*.f64 b_2 b_2))) b_2))) a) (/.f64 b_2 a)) | |
| 34.7% | (*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (*.f64 (/.f64 #s(literal 1 binary64) a) a)) | |
| 20.6% | (*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2))) | |
| ✓ | 35.2% | (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)) |
| 26.6% | (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b_2)) (*.f64 a c)) | |
| ✓ | 34.6% | (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
| ▶ | 27.4% | (*.f64 a (/.f64 (/.f64 c (*.f64 a #s(literal -2 binary64))) b_2)) |
| 27.4% | (*.f64 a (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 c)) (neg.f64 b_2))) | |
| ✓ | 23.9% | (*.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a))) |
| 23.5% | (*.f64 a (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b_2)) c)) | |
| 33.4% | (neg.f64 (*.f64 b_2 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))) | |
| ✓ | 10.2% | #s(literal 0 binary64) |
Compiled 682 to 464 computations (32% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 b_2 b_2) |
| ✓ | cost-diff | 0 | (fma.f64 a c (*.f64 b_2 b_2)) |
| ✓ | cost-diff | 0 | (neg.f64 (fma.f64 a c (*.f64 b_2 b_2))) |
| ✓ | cost-diff | 0 | (/.f64 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2))) (*.f64 a (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))) |
| ✓ | cost-diff | 0 | (sqrt.f64 (*.f64 c (neg.f64 a))) |
| ✓ | cost-diff | 0 | (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) |
| ✓ | cost-diff | 0 | (*.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) |
| ✓ | cost-diff | 640 | (/.f64 (*.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) (*.f64 a a)) |
| ✓ | cost-diff | 0 | (*.f64 a #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 c (*.f64 a #s(literal -2 binary64))) |
| ✓ | cost-diff | 384 | (/.f64 (/.f64 c (*.f64 a #s(literal -2 binary64))) b_2) |
| ✓ | cost-diff | 640 | (*.f64 a (/.f64 (/.f64 c (*.f64 a #s(literal -2 binary64))) b_2)) |
| ✓ | cost-diff | 0 | (neg.f64 b_2) |
| ✓ | cost-diff | 0 | (/.f64 (neg.f64 b_2) a) |
| ✓ | cost-diff | 0 | (*.f64 b_2 #s(literal -2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) |
| 4 770× | lower-fma.f32 |
| 4 768× | lower-fma.f64 |
| 3 532× | lower-*.f32 |
| 3 516× | lower-*.f64 |
| 2 210× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 156 |
| 0 | 47 | 156 |
| 1 | 97 | 154 |
| 2 | 189 | 150 |
| 3 | 376 | 148 |
| 4 | 849 | 147 |
| 5 | 2277 | 147 |
| 6 | 6277 | 147 |
| 0 | 8752 | 146 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) |
(*.f64 b_2 #s(literal -2 binary64)) |
b_2 |
#s(literal -2 binary64) |
a |
(/.f64 (neg.f64 b_2) a) |
(neg.f64 b_2) |
b_2 |
a |
(*.f64 a (/.f64 (/.f64 c (*.f64 a #s(literal -2 binary64))) b_2)) |
a |
(/.f64 (/.f64 c (*.f64 a #s(literal -2 binary64))) b_2) |
(/.f64 c (*.f64 a #s(literal -2 binary64))) |
c |
(*.f64 a #s(literal -2 binary64)) |
#s(literal -2 binary64) |
b_2 |
(/.f64 (*.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) (*.f64 a a)) |
(*.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) |
a |
(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) |
(sqrt.f64 (*.f64 c (neg.f64 a))) |
(*.f64 c (neg.f64 a)) |
c |
(neg.f64 a) |
b_2 |
(*.f64 a a) |
(/.f64 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2))) (*.f64 a (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))) |
(neg.f64 (fma.f64 a c (*.f64 b_2 b_2))) |
(fma.f64 a c (*.f64 b_2 b_2)) |
a |
c |
(*.f64 b_2 b_2) |
b_2 |
(*.f64 a (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) |
(+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) |
(sqrt.f64 (*.f64 c (neg.f64 a))) |
(*.f64 c (neg.f64 a)) |
(neg.f64 a) |
| Outputs |
|---|
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) |
(*.f64 b_2 #s(literal -2 binary64)) |
b_2 |
#s(literal -2 binary64) |
a |
(/.f64 (neg.f64 b_2) a) |
(/.f64 b_2 (neg.f64 a)) |
(neg.f64 b_2) |
b_2 |
a |
(*.f64 a (/.f64 (/.f64 c (*.f64 a #s(literal -2 binary64))) b_2)) |
(/.f64 c (*.f64 b_2 #s(literal -2 binary64))) |
a |
(/.f64 (/.f64 c (*.f64 a #s(literal -2 binary64))) b_2) |
(/.f64 c (*.f64 #s(literal -2 binary64) (*.f64 b_2 a))) |
(/.f64 c (*.f64 a #s(literal -2 binary64))) |
(/.f64 c (*.f64 #s(literal -2 binary64) a)) |
c |
(*.f64 a #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) a) |
#s(literal -2 binary64) |
b_2 |
(/.f64 (*.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) (*.f64 a a)) |
(/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a) |
(*.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) |
(*.f64 a (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2)) |
a |
(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) |
(-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) |
(sqrt.f64 (*.f64 c (neg.f64 a))) |
(sqrt.f64 (*.f64 a (neg.f64 c))) |
(*.f64 c (neg.f64 a)) |
(*.f64 a (neg.f64 c)) |
c |
(neg.f64 a) |
b_2 |
(*.f64 a a) |
(/.f64 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2))) (*.f64 a (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))) |
(/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))))) |
(neg.f64 (fma.f64 a c (*.f64 b_2 b_2))) |
(neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))) |
(fma.f64 a c (*.f64 b_2 b_2)) |
(fma.f64 b_2 b_2 (*.f64 a c)) |
a |
c |
(*.f64 b_2 b_2) |
b_2 |
(*.f64 a (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) |
(*.f64 a (+.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c))))) |
(+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) |
(+.f64 b_2 (sqrt.f64 (*.f64 a (neg.f64 c)))) |
(sqrt.f64 (*.f64 c (neg.f64 a))) |
(sqrt.f64 (*.f64 a (neg.f64 c))) |
(*.f64 c (neg.f64 a)) |
(*.f64 a (neg.f64 c)) |
(neg.f64 a) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 99.9% | (*.f64 a (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) |
| ✓ | accuracy | 98.8% | (fma.f64 a c (*.f64 b_2 b_2)) |
| ✓ | accuracy | 87.9% | (sqrt.f64 (*.f64 c (neg.f64 a))) |
| ✓ | accuracy | 79.6% | (/.f64 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2))) (*.f64 a (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))) |
| ✓ | accuracy | 100.0% | (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) |
| ✓ | accuracy | 99.9% | (*.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) |
| ✓ | accuracy | 87.9% | (sqrt.f64 (*.f64 c (neg.f64 a))) |
| ✓ | accuracy | 73.2% | (/.f64 (*.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) (*.f64 a a)) |
| ✓ | accuracy | 100.0% | (/.f64 c (*.f64 a #s(literal -2 binary64))) |
| ✓ | accuracy | 100.0% | (*.f64 a #s(literal -2 binary64)) |
| ✓ | accuracy | 97.5% | (/.f64 (/.f64 c (*.f64 a #s(literal -2 binary64))) b_2) |
| ✓ | accuracy | 91.1% | (*.f64 a (/.f64 (/.f64 c (*.f64 a #s(literal -2 binary64))) b_2)) |
| ✓ | accuracy | 100.0% | (/.f64 (neg.f64 b_2) a) |
| ✓ | accuracy | 100.0% | (neg.f64 b_2) |
| ✓ | accuracy | 100.0% | (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) |
| ✓ | accuracy | 100.0% | (*.f64 b_2 #s(literal -2 binary64)) |
| 29.0ms | 160× | 0 | valid |
| 18.0ms | 96× | 0 | invalid |
Compiled 161 to 28 computations (82.6% saved)
ival-mult: 13.0ms (41.1% of total)ival-div: 10.0ms (31.6% of total)ival-neg: 3.0ms (9.5% of total)ival-add: 2.0ms (6.3% of total)ival-sqrt: 2.0ms (6.3% of total)ival-sub: 1.0ms (3.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)> |
#<alt (*.f64 b_2 #s(literal -2 binary64))> |
#<alt (/.f64 (neg.f64 b_2) a)> |
#<alt (neg.f64 b_2)> |
#<alt (*.f64 a (/.f64 (/.f64 c (*.f64 a #s(literal -2 binary64))) b_2))> |
#<alt (/.f64 (/.f64 c (*.f64 a #s(literal -2 binary64))) b_2)> |
#<alt (/.f64 c (*.f64 a #s(literal -2 binary64)))> |
#<alt (*.f64 a #s(literal -2 binary64))> |
#<alt (/.f64 (*.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) (*.f64 a a))> |
#<alt (*.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))> |
#<alt (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)> |
#<alt (sqrt.f64 (*.f64 c (neg.f64 a)))> |
#<alt (/.f64 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2))) (*.f64 a (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)))> |
#<alt (neg.f64 (fma.f64 a c (*.f64 b_2 b_2)))> |
#<alt (fma.f64 a c (*.f64 b_2 b_2))> |
#<alt (*.f64 b_2 b_2)> |
#<alt (*.f64 a (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))> |
| Outputs |
|---|
#<alt (* -2 (/ b_2 a))> |
#<alt (* -2 (/ b_2 a))> |
#<alt (* -2 (/ b_2 a))> |
#<alt (* -2 (/ b_2 a))> |
#<alt (* -2 (/ b_2 a))> |
#<alt (* -2 (/ b_2 a))> |
#<alt (* -2 (/ b_2 a))> |
#<alt (* -2 (/ b_2 a))> |
#<alt (* -2 (/ b_2 a))> |
#<alt (* -2 (/ b_2 a))> |
#<alt (* -2 (/ b_2 a))> |
#<alt (* -2 (/ b_2 a))> |
#<alt (* -2 (/ b_2 a))> |
#<alt (* -2 (/ b_2 a))> |
#<alt (* -2 (/ b_2 a))> |
#<alt (* -2 (/ b_2 a))> |
#<alt (* -2 (/ b_2 a))> |
#<alt (* -2 (/ b_2 a))> |
#<alt (* -2 (/ b_2 a))> |
#<alt (* -2 (/ b_2 a))> |
#<alt (* -2 (/ b_2 a))> |
#<alt (* -2 (/ b_2 a))> |
#<alt (* -2 (/ b_2 a))> |
#<alt (* -2 (/ b_2 a))> |
#<alt (* -2 b_2)> |
#<alt (* -2 b_2)> |
#<alt (* -2 b_2)> |
#<alt (* -2 b_2)> |
#<alt (* -2 b_2)> |
#<alt (* -2 b_2)> |
#<alt (* -2 b_2)> |
#<alt (* -2 b_2)> |
#<alt (* -2 b_2)> |
#<alt (* -2 b_2)> |
#<alt (* -2 b_2)> |
#<alt (* -2 b_2)> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 (/ b_2 a))> |
#<alt (* -1 b_2)> |
#<alt (* -1 b_2)> |
#<alt (* -1 b_2)> |
#<alt (* -1 b_2)> |
#<alt (* -1 b_2)> |
#<alt (* -1 b_2)> |
#<alt (* -1 b_2)> |
#<alt (* -1 b_2)> |
#<alt (* -1 b_2)> |
#<alt (* -1 b_2)> |
#<alt (* -1 b_2)> |
#<alt (* -1 b_2)> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c b_2))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
#<alt (* -1/2 (/ c (* a b_2)))> |
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#<alt (* -2 a)> |
#<alt (* -2 a)> |
#<alt (* -2 a)> |
#<alt (* -2 a)> |
#<alt (* -2 a)> |
#<alt (* -2 a)> |
#<alt (* -2 a)> |
#<alt (* -2 a)> |
#<alt (* -2 a)> |
#<alt (* -2 a)> |
#<alt (* -2 a)> |
#<alt (* -2 a)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
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#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a)> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
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#<alt (* (sqrt (/ c a)) (sqrt -1))> |
#<alt (* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1))))> |
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#<alt (* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))))> |
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#<alt (* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))> |
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#<alt (* b_2 (+ (* -1 a) (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2))))> |
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#<alt (* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))))> |
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#<alt (* -1 b_2)> |
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#<alt (* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1))> |
#<alt (* -1 b_2)> |
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#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))> |
#<alt (* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2))))))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
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#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))> |
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#<alt (* (sqrt (* a c)) (sqrt -1))> |
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#<alt (* (sqrt (* a c)) (sqrt -1))> |
#<alt (* (sqrt (* a c)) (sqrt -1))> |
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#<alt (* (sqrt (* a c)) (sqrt -1))> |
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#<alt (* -1 (* (sqrt (* a c)) (sqrt -1)))> |
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#<alt (* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))> |
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#<alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2))) a)) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b_2 (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2)))) (sqrt -1))))) a)> |
#<alt (/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2)))) (* (pow a 2) (* c (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2))) a)) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b_2 (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2)))) (sqrt -1)))))) a)> |
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#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2))))) (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* a b_2)) a))) a))> |
#<alt (* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow b_2 2) (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2))) c) (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2)))))) a)) (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* a b_2)) a))) a))> |
#<alt (* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))> |
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#<alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))) c)) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (sqrt -1)))))> |
#<alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (* a (* (pow c 2) (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))) c)) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (sqrt -1))))))> |
#<alt (* (sqrt (/ c a)) (sqrt -1))> |
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#<alt (+ (* -1 (/ (+ (* -1 (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a))) (* -1 (/ (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a))) a)) (* (sqrt (/ c a)) (* b_2 (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a)))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1)))> |
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#<alt (+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))) (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))) (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))))) (sqrt -1))))) (/ 1 (* a (pow (sqrt -1) 2))))))> |
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#<alt (* -1 (* b_2 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 c) (* c (pow (sqrt -1) 2)))) (* (sqrt (* a c)) (/ (* (sqrt -1) (- (* -1 c) (* c (pow (sqrt -1) 2)))) b_2))) b_2)) (* (sqrt (/ c a)) (sqrt -1))) b_2)) (/ 1 a))))> |
#<alt (* -1 (pow b_2 2))> |
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#<alt (- (* -1 (* a c)) (pow b_2 2))> |
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#<alt (* -1 (* a (- (/ (pow b_2 2) a) (* -1 c))))> |
#<alt (* -1 (* a (- (/ (pow b_2 2) a) (* -1 c))))> |
#<alt (* -1 (pow b_2 2))> |
#<alt (- (* -1 (* a c)) (pow b_2 2))> |
#<alt (- (* -1 (* a c)) (pow b_2 2))> |
#<alt (- (* -1 (* a c)) (pow b_2 2))> |
#<alt (* -1 (* a c))> |
#<alt (* c (- (* -1 (/ (pow b_2 2) c)) a))> |
#<alt (* c (- (* -1 (/ (pow b_2 2) c)) a))> |
#<alt (* c (- (* -1 (/ (pow b_2 2) c)) a))> |
#<alt (* -1 (* a c))> |
#<alt (* -1 (* c (- (/ (pow b_2 2) c) (* -1 a))))> |
#<alt (* -1 (* c (- (/ (pow b_2 2) c) (* -1 a))))> |
#<alt (* -1 (* c (- (/ (pow b_2 2) c) (* -1 a))))> |
#<alt (* -1 (* a c))> |
#<alt (- (* -1 (pow b_2 2)) (* a c))> |
#<alt (- (* -1 (pow b_2 2)) (* a c))> |
#<alt (- (* -1 (pow b_2 2)) (* a c))> |
#<alt (* -1 (pow b_2 2))> |
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))> |
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))> |
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))> |
#<alt (* -1 (pow b_2 2))> |
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))> |
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))> |
#<alt (* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1))> |
#<alt (pow b_2 2)> |
#<alt (+ (* a c) (pow b_2 2))> |
#<alt (+ (* a c) (pow b_2 2))> |
#<alt (+ (* a c) (pow b_2 2))> |
#<alt (* a c)> |
#<alt (* a (+ c (/ (pow b_2 2) a)))> |
#<alt (* a (+ c (/ (pow b_2 2) a)))> |
#<alt (* a (+ c (/ (pow b_2 2) a)))> |
#<alt (* a c)> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))> |
#<alt (* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a)))))> |
#<alt (pow b_2 2)> |
#<alt (+ (* a c) (pow b_2 2))> |
#<alt (+ (* a c) (pow b_2 2))> |
#<alt (+ (* a c) (pow b_2 2))> |
#<alt (* a c)> |
#<alt (* c (+ a (/ (pow b_2 2) c)))> |
#<alt (* c (+ a (/ (pow b_2 2) c)))> |
#<alt (* c (+ a (/ (pow b_2 2) c)))> |
#<alt (* a c)> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))> |
#<alt (* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c)))))> |
#<alt (* a c)> |
#<alt (+ (* a c) (pow b_2 2))> |
#<alt (+ (* a c) (pow b_2 2))> |
#<alt (+ (* a c) (pow b_2 2))> |
#<alt (pow b_2 2)> |
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))> |
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))> |
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))> |
#<alt (pow b_2 2)> |
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))> |
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))> |
#<alt (* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2))))> |
#<alt (pow b_2 2)> |
#<alt (pow b_2 2)> |
#<alt (pow b_2 2)> |
#<alt (pow b_2 2)> |
#<alt (pow b_2 2)> |
#<alt (pow b_2 2)> |
#<alt (pow b_2 2)> |
#<alt (pow b_2 2)> |
#<alt (pow b_2 2)> |
#<alt (pow b_2 2)> |
#<alt (pow b_2 2)> |
#<alt (pow b_2 2)> |
#<alt (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1))))> |
#<alt (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1))))> |
#<alt (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1))))> |
#<alt (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1))))> |
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))> |
#<alt (* (pow a 2) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))> |
#<alt (* (pow a 2) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))> |
#<alt (* (pow a 2) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))> |
#<alt (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))> |
#<alt (* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))> |
#<alt (* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))> |
#<alt (* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)))> |
#<alt (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1))))> |
#<alt (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1))))> |
#<alt (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1))))> |
#<alt (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1))))> |
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))> |
#<alt (* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c)))> |
#<alt (* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c)))> |
#<alt (* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c)))> |
#<alt (* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1)))> |
#<alt (* -1 (* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))> |
#<alt (* -1 (* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))))> |
#<alt (* (sqrt (* (pow a 3) c)) (sqrt -1))> |
#<alt (+ (* a b_2) (* (sqrt (* (pow a 3) c)) (sqrt -1)))> |
#<alt (+ (* a b_2) (* (sqrt (* (pow a 3) c)) (sqrt -1)))> |
#<alt (+ (* a b_2) (* (sqrt (* (pow a 3) c)) (sqrt -1)))> |
#<alt (* a b_2)> |
#<alt (* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2))))> |
#<alt (* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2))))> |
#<alt (* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2))))> |
#<alt (* a b_2)> |
#<alt (* -1 (* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2))))))> |
#<alt (* -1 (* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2))))))> |
#<alt (* -1 (* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2))))))> |
117 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | c | @ | 0 | (* a (- (sqrt (* c (neg a))) b_2)) |
| 2.0ms | a | @ | -inf | (/ (neg (+ (* a c) (* b_2 b_2))) (* a (+ (sqrt (* c (neg a))) b_2))) |
| 1.0ms | c | @ | inf | (/ (neg (+ (* a c) (* b_2 b_2))) (* a (+ (sqrt (* c (neg a))) b_2))) |
| 1.0ms | a | @ | inf | (/ (neg (+ (* a c) (* b_2 b_2))) (* a (+ (sqrt (* c (neg a))) b_2))) |
| 1.0ms | a | @ | 0 | (/ (neg (+ (* a c) (* b_2 b_2))) (* a (+ (sqrt (* c (neg a))) b_2))) |
| 1× | batch-egg-rewrite |
| 4 630× | lower-*.f32 |
| 4 614× | lower-*.f64 |
| 4 216× | lower-/.f32 |
| 4 204× | lower-/.f64 |
| 3 854× | lower-fma.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 114 |
| 0 | 47 | 110 |
| 1 | 172 | 102 |
| 2 | 1093 | 100 |
| 0 | 8698 | 100 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) |
(*.f64 b_2 #s(literal -2 binary64)) |
(/.f64 (neg.f64 b_2) a) |
(neg.f64 b_2) |
(*.f64 a (/.f64 (/.f64 c (*.f64 a #s(literal -2 binary64))) b_2)) |
(/.f64 (/.f64 c (*.f64 a #s(literal -2 binary64))) b_2) |
(/.f64 c (*.f64 a #s(literal -2 binary64))) |
(*.f64 a #s(literal -2 binary64)) |
(/.f64 (*.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) (*.f64 a a)) |
(*.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) |
(-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2) |
(sqrt.f64 (*.f64 c (neg.f64 a))) |
(/.f64 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2))) (*.f64 a (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))) |
(neg.f64 (fma.f64 a c (*.f64 b_2 b_2))) |
(fma.f64 a c (*.f64 b_2 b_2)) |
(*.f64 b_2 b_2) |
(*.f64 a (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) |
| Outputs |
|---|
(exp.f64 (*.f64 (log.f64 (/.f64 a (*.f64 b_2 #s(literal -2 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)) |
(neg.f64 (/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal 2 binary64)) a))) |
(/.f64 b_2 (*.f64 a #s(literal -1/2 binary64))) |
(/.f64 #s(literal -2 binary64) (/.f64 a b_2)) |
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) |
(/.f64 (*.f64 b_2 #s(literal 2 binary64)) (neg.f64 a)) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 b_2 #s(literal -2 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 a (*.f64 b_2 #s(literal -2 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (*.f64 (*.f64 b_2 #s(literal 2 binary64)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 a (*.f64 b_2 #s(literal -2 binary64))))) |
(/.f64 (*.f64 (*.f64 b_2 #s(literal 2 binary64)) #s(literal -1 binary64)) a) |
(/.f64 (neg.f64 (*.f64 (*.f64 b_2 #s(literal 2 binary64)) #s(literal -1 binary64))) (neg.f64 a)) |
(pow.f64 (/.f64 a (*.f64 b_2 #s(literal -2 binary64))) #s(literal -1 binary64)) |
(*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) |
(*.f64 #s(literal -2 binary64) (/.f64 b_2 a)) |
(*.f64 (*.f64 b_2 #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (neg.f64 b_2) (/.f64 #s(literal 2 binary64) a)) |
(*.f64 (/.f64 b_2 (neg.f64 a)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (/.f64 b_2 (neg.f64 a))) |
(*.f64 (*.f64 b_2 #s(literal 2 binary64)) (/.f64 #s(literal -1 binary64) a)) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (*.f64 b_2 #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 b_2 #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 b_2 #s(literal 2 binary64)) a)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 a (*.f64 b_2 #s(literal -2 binary64)))))) |
(*.f64 (/.f64 b_2 a) #s(literal -2 binary64)) |
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2) |
(*.f64 (/.f64 #s(literal -1 binary64) a) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 b_2 #s(literal 2 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 (/.f64 #s(literal 2 binary64) a) (neg.f64 b_2)) |
(*.f64 (pow.f64 (/.f64 a (*.f64 b_2 #s(literal -2 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (*.f64 b_2 #s(literal -2 binary64))) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 b_2 #s(literal 2 binary64))) |
(neg.f64 (*.f64 b_2 #s(literal 2 binary64))) |
(*.f64 b_2 #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) b_2) |
(*.f64 (*.f64 b_2 #s(literal -2 binary64)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 b_2) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) (neg.f64 b_2)) |
(*.f64 #s(literal 1 binary64) (*.f64 b_2 #s(literal -2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 b_2 #s(literal 2 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 a (neg.f64 b_2))) #s(literal -1 binary64))) |
(+.f64 #s(literal 0 binary64) (/.f64 b_2 (neg.f64 a))) |
(-.f64 #s(literal 0 binary64) (/.f64 b_2 a)) |
(neg.f64 (/.f64 b_2 a)) |
(neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) b_2)) |
(/.f64 b_2 (neg.f64 a)) |
(/.f64 (neg.f64 b_2) a) |
(/.f64 (*.f64 b_2 b_2) (*.f64 b_2 (neg.f64 a))) |
(/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (*.f64 (neg.f64 a) (fma.f64 b_2 b_2 #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (neg.f64 b_2))) |
(/.f64 #s(literal -1 binary64) (/.f64 a b_2)) |
(/.f64 (*.f64 b_2 (neg.f64 a)) (*.f64 a a)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 a)) (*.f64 b_2 (neg.f64 a))) (*.f64 a (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 a b_2)) a) (*.f64 a (/.f64 a b_2))) |
(/.f64 (*.f64 (*.f64 b_2 (neg.f64 b_2)) #s(literal 1 binary64)) (*.f64 b_2 a)) |
(/.f64 (*.f64 (*.f64 b_2 (neg.f64 b_2)) #s(literal -1 binary64)) (*.f64 b_2 (neg.f64 a))) |
(/.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 (neg.f64 b_2))) #s(literal 1 binary64)) (*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) a)) |
(/.f64 (*.f64 (*.f64 b_2 (*.f64 b_2 (neg.f64 b_2))) #s(literal -1 binary64)) (*.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (neg.f64 a))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 b_2 (neg.f64 b_2))) (*.f64 b_2 a)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 b_2 (*.f64 b_2 (neg.f64 b_2)))) (*.f64 a (fma.f64 b_2 b_2 #s(literal 0 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 b_2 a) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 b_2 a) (/.f64 b_2 a) (*.f64 #s(literal 0 binary64) (/.f64 b_2 a))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (/.f64 b_2 a) (/.f64 b_2 a))) (+.f64 #s(literal 0 binary64) (/.f64 b_2 a))) |
(pow.f64 (/.f64 a (neg.f64 b_2)) #s(literal -1 binary64)) |
(*.f64 b_2 (/.f64 #s(literal -1 binary64) a)) |
(*.f64 b_2 (neg.f64 (/.f64 #s(literal 1 binary64) a))) |
(*.f64 (neg.f64 b_2) (/.f64 #s(literal 1 binary64) a)) |
(*.f64 #s(literal 1 binary64) (/.f64 b_2 (neg.f64 a))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (neg.f64 b_2)) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (pow.f64 (/.f64 #s(literal -1 binary64) b_2) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 b_2 a)) |
(*.f64 (/.f64 #s(literal -1 binary64) a) b_2) |
(*.f64 (pow.f64 (/.f64 a (neg.f64 b_2)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 a (neg.f64 b_2)) #s(literal -1/2 binary64))) |
(+.f64 #s(literal 0 binary64) (neg.f64 b_2)) |
(-.f64 #s(literal 0 binary64) b_2) |
(-.f64 (/.f64 #s(literal 0 binary64) b_2) (/.f64 (*.f64 b_2 b_2) b_2)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64))) (/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (fma.f64 b_2 b_2 #s(literal 0 binary64)))) |
(neg.f64 b_2) |
(/.f64 b_2 #s(literal -1 binary64)) |
(/.f64 (neg.f64 b_2) #s(literal 1 binary64)) |
(/.f64 (*.f64 b_2 b_2) (neg.f64 b_2)) |
(/.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (neg.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) b_2)) |
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 b_2 (neg.f64 b_2)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 b_2 b_2 #s(literal 0 binary64)) (*.f64 b_2 (*.f64 b_2 (neg.f64 b_2))))) |
(/.f64 (*.f64 b_2 (neg.f64 b_2)) b_2) |
(/.f64 (*.f64 b_2 (*.f64 b_2 (neg.f64 b_2))) (fma.f64 b_2 b_2 #s(literal 0 binary64))) |
(/.f64 (*.f64 b_2 (*.f64 b_2 (neg.f64 b_2))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 b_2 b_2) (*.f64 #s(literal 0 binary64) (neg.f64 b_2))))) |
(*.f64 b_2 #s(literal -1 binary64)) |
(*.f64 (neg.f64 b_2) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 b_2)) |
(*.f64 #s(literal -1 binary64) b_2) |
(*.f64 (*.f64 b_2 (neg.f64 b_2)) (/.f64 #s(literal 1 binary64) b_2)) |
(*.f64 (*.f64 b_2 (*.f64 b_2 (neg.f64 b_2))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 #s(literal 0 binary64)))) |
(neg.f64 (*.f64 (/.f64 c (*.f64 a #s(literal 2 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) b_2) a))) |
(neg.f64 (*.f64 (*.f64 (/.f64 c (*.f64 b_2 a)) #s(literal 1/2 binary64)) a)) |
(neg.f64 (*.f64 a (*.f64 (/.f64 c (*.f64 b_2 a)) #s(literal 1/2 binary64)))) |
(/.f64 a (*.f64 b_2 (/.f64 (*.f64 #s(literal -2 binary64) a) c))) |
(/.f64 (neg.f64 a) (*.f64 b_2 (*.f64 #s(literal 2 binary64) (/.f64 a c)))) |
(/.f64 (neg.f64 a) (*.f64 (/.f64 (*.f64 #s(literal -2 binary64) a) c) (neg.f64 b_2))) |
(/.f64 (neg.f64 (*.f64 a c)) (*.f64 b_2 (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (*.f64 a c) (*.f64 b_2 (*.f64 #s(literal -2 binary64) a))) |
(/.f64 #s(literal 1 binary64) (/.f64 b_2 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal -1/2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 (/.f64 (*.f64 #s(literal -2 binary64) a) c)) a)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 (*.f64 #s(literal -2 binary64) a)) (*.f64 a c))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 b_2 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal -1/2 binary64)))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 b_2 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal -1/2 binary64)))))) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal -1/2 binary64))) b_2) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal -1/2 binary64)))) (neg.f64 b_2)) |
(/.f64 (*.f64 (*.f64 a c) #s(literal -1 binary64)) (*.f64 b_2 (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 a c)) #s(literal 1 binary64)) (*.f64 b_2 (*.f64 a #s(literal 2 binary64)))) |
(/.f64 (*.f64 (neg.f64 (*.f64 a c)) #s(literal -1 binary64)) (*.f64 (*.f64 a #s(literal 2 binary64)) (neg.f64 b_2))) |
(/.f64 (*.f64 (*.f64 a c) #s(literal 1 binary64)) (*.f64 b_2 (*.f64 #s(literal -2 binary64) a))) |
(/.f64 (*.f64 (*.f64 a (/.f64 c a)) #s(literal 1 binary64)) (*.f64 b_2 #s(literal -2 binary64))) |
(/.f64 (*.f64 (*.f64 a (/.f64 c a)) #s(literal -1 binary64)) (*.f64 b_2 #s(literal 2 binary64))) |
(pow.f64 (/.f64 b_2 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal -1/2 binary64)))) #s(literal -1 binary64)) |
(*.f64 a (/.f64 c (*.f64 b_2 (*.f64 #s(literal -2 binary64) a)))) |
(*.f64 (/.f64 c (*.f64 #s(literal -2 binary64) a)) (/.f64 a b_2)) |
(*.f64 (/.f64 c (*.f64 #s(literal -2 binary64) a)) (*.f64 (/.f64 #s(literal 1 binary64) b_2) a)) |
(*.f64 (/.f64 c (*.f64 b_2 (*.f64 #s(literal -2 binary64) a))) a) |
(*.f64 (neg.f64 a) (*.f64 (/.f64 c (*.f64 b_2 a)) #s(literal 1/2 binary64))) |
(*.f64 (*.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 a))) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 c (*.f64 b_2 #s(literal -2 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 a (*.f64 b_2 #s(literal -2 binary64))) (/.f64 c a)) |
(*.f64 (/.f64 #s(literal 1 binary64) b_2) (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal -1/2 binary64)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) b_2)) |
(*.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 c #s(literal -1/2 binary64)))) (/.f64 #s(literal -1 binary64) b_2)) |
(*.f64 (/.f64 a b_2) (/.f64 c (*.f64 #s(literal -2 binary64) a))) |
(*.f64 (*.f64 (/.f64 c (*.f64 b_2 a)) #s(literal 1/2 binary64)) (neg.f64 a)) |
(*.f64 (/.f64 c (*.f64 b_2 a)) (*.f64 a #s(literal -1/2 binary64))) |
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(exp.f64 (*.f64 #s(literal 1/2 binary64) (log.f64 (neg.f64 (*.f64 a c))))) |
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(*.f64 (neg.f64 (*.f64 a (fma.f64 b_2 b_2 (*.f64 a c)))) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))) |
(*.f64 (*.f64 a (fma.f64 b_2 (*.f64 b_2 b_2) (*.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c)))))) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (*.f64 a c)))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) a)) (/.f64 #s(literal 1 binary64) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))) |
(*.f64 (*.f64 (fma.f64 b_2 (*.f64 b_2 b_2) (*.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c))))) a) (/.f64 #s(literal 1 binary64) (-.f64 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (*.f64 a c)))) |
(*.f64 (/.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (neg.f64 (-.f64 (*.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 b_2))))) (/.f64 a (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) (neg.f64 (*.f64 a c)))))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1 binary64)) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))) |
(*.f64 (/.f64 a (-.f64 (*.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c)))) (*.f64 b_2 (*.f64 b_2 b_2)))) (/.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 (+.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))) (neg.f64 (*.f64 a c)))))) |
(*.f64 (/.f64 a (/.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (fma.f64 b_2 (*.f64 b_2 b_2) (*.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c))))))) (/.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (-.f64 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (*.f64 a c)))) |
(*.f64 (/.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (/.f64 (neg.f64 (fma.f64 b_2 b_2 (*.f64 a c))) (fma.f64 b_2 (*.f64 b_2 b_2) (*.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c))))))) (/.f64 a (-.f64 (*.f64 b_2 (-.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c))))) (*.f64 a c)))) |
| 1× | egg-herbie |
| 9 794× | lower-fma.f64 |
| 9 794× | lower-fma.f32 |
| 5 176× | lower-*.f64 |
| 5 176× | lower-*.f32 |
| 2 894× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 338 | 4865 |
| 1 | 1089 | 4641 |
| 2 | 3718 | 4412 |
| 0 | 8318 | 4257 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -2 (/ b_2 a)) |
(* -2 (/ b_2 a)) |
(* -2 (/ b_2 a)) |
(* -2 (/ b_2 a)) |
(* -2 (/ b_2 a)) |
(* -2 (/ b_2 a)) |
(* -2 (/ b_2 a)) |
(* -2 (/ b_2 a)) |
(* -2 (/ b_2 a)) |
(* -2 (/ b_2 a)) |
(* -2 (/ b_2 a)) |
(* -2 (/ b_2 a)) |
(* -2 (/ b_2 a)) |
(* -2 (/ b_2 a)) |
(* -2 (/ b_2 a)) |
(* -2 (/ b_2 a)) |
(* -2 (/ b_2 a)) |
(* -2 (/ b_2 a)) |
(* -2 (/ b_2 a)) |
(* -2 (/ b_2 a)) |
(* -2 (/ b_2 a)) |
(* -2 (/ b_2 a)) |
(* -2 (/ b_2 a)) |
(* -2 (/ b_2 a)) |
(* -2 b_2) |
(* -2 b_2) |
(* -2 b_2) |
(* -2 b_2) |
(* -2 b_2) |
(* -2 b_2) |
(* -2 b_2) |
(* -2 b_2) |
(* -2 b_2) |
(* -2 b_2) |
(* -2 b_2) |
(* -2 b_2) |
(* -1 (/ b_2 a)) |
(* -1 (/ b_2 a)) |
(* -1 (/ b_2 a)) |
(* -1 (/ b_2 a)) |
(* -1 (/ b_2 a)) |
(* -1 (/ b_2 a)) |
(* -1 (/ b_2 a)) |
(* -1 (/ b_2 a)) |
(* -1 (/ b_2 a)) |
(* -1 (/ b_2 a)) |
(* -1 (/ b_2 a)) |
(* -1 (/ b_2 a)) |
(* -1 (/ b_2 a)) |
(* -1 (/ b_2 a)) |
(* -1 (/ b_2 a)) |
(* -1 (/ b_2 a)) |
(* -1 (/ b_2 a)) |
(* -1 (/ b_2 a)) |
(* -1 (/ b_2 a)) |
(* -1 (/ b_2 a)) |
(* -1 (/ b_2 a)) |
(* -1 (/ b_2 a)) |
(* -1 (/ b_2 a)) |
(* -1 (/ b_2 a)) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1 b_2) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c b_2)) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c (* a b_2))) |
(* -1/2 (/ c a)) |
(* -1/2 (/ c a)) |
(* -1/2 (/ c a)) |
(* -1/2 (/ c a)) |
(* -1/2 (/ c a)) |
(* -1/2 (/ c a)) |
(* -1/2 (/ c a)) |
(* -1/2 (/ c a)) |
(* -1/2 (/ c a)) |
(* -1/2 (/ c a)) |
(* -1/2 (/ c a)) |
(* -1/2 (/ c a)) |
(* -1/2 (/ c a)) |
(* -1/2 (/ c a)) |
(* -1/2 (/ c a)) |
(* -1/2 (/ c a)) |
(* -1/2 (/ c a)) |
(* -1/2 (/ c a)) |
(* -1/2 (/ c a)) |
(* -1/2 (/ c a)) |
(* -1/2 (/ c a)) |
(* -1/2 (/ c a)) |
(* -1/2 (/ c a)) |
(* -1/2 (/ c a)) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(* -2 a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a))) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(/ (- (* (sqrt (* a c)) (sqrt -1)) b_2) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 (* a c))) (* (sqrt (/ 1 (* a c))) (sqrt -1)))) |
(* -1 (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* -1 (* c (+ (* (sqrt (/ 1 (* a c))) (sqrt -1)) (/ b_2 (* a c))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (/ b_2 a)) |
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))) |
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))) |
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))) |
(* -1 (/ b_2 a)) |
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))) |
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))) |
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))) |
(* a (- (* (sqrt (* a c)) (sqrt -1)) b_2)) |
(* a (- (* (sqrt (* a c)) (sqrt -1)) b_2)) |
(* a (- (* (sqrt (* a c)) (sqrt -1)) b_2)) |
(* a (- (* (sqrt (* a c)) (sqrt -1)) b_2)) |
(* (sqrt (* (pow a 3) c)) (sqrt -1)) |
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* (pow a 2) (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (* -1 (/ b_2 a)))) |
(* a (- (* (sqrt (* a c)) (sqrt -1)) b_2)) |
(* a (- (* (sqrt (* a c)) (sqrt -1)) b_2)) |
(* a (- (* (sqrt (* a c)) (sqrt -1)) b_2)) |
(* a (- (* (sqrt (* a c)) (sqrt -1)) b_2)) |
(* (sqrt (* (pow a 3) c)) (sqrt -1)) |
(* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))) |
(* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))) |
(* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1)))) |
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c)))) |
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c)))) |
(* -1 (* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c)))) |
(* (sqrt (* (pow a 3) c)) (sqrt -1)) |
(+ (* -1 (* a b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(+ (* -1 (* a b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(+ (* -1 (* a b_2)) (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* -1 (* a b_2)) |
(* b_2 (+ (* -1 a) (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))) |
(* b_2 (+ (* -1 a) (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))) |
(* b_2 (+ (* -1 a) (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))) |
(* -1 (* a b_2)) |
(* -1 (* b_2 (+ a (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))) |
(* -1 (* b_2 (+ a (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))) |
(* -1 (* b_2 (+ a (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(* (sqrt (* a c)) (sqrt -1)) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* c (+ (* -1 (/ b_2 c)) (* (sqrt (/ a c)) (sqrt -1)))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(* -1 (* c (+ (* (sqrt (/ a c)) (sqrt -1)) (/ b_2 c)))) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(- (* (sqrt (* a c)) (sqrt -1)) b_2) |
(* (sqrt (* a c)) (sqrt -1)) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* a (+ (* -1 (/ b_2 a)) (* (sqrt (/ c a)) (sqrt -1)))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* -1 (* a (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a)))) |
(* (sqrt (* a c)) (sqrt -1)) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(+ (* -1 b_2) (* (sqrt (* a c)) (sqrt -1))) |
(* -1 b_2) |
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1)) |
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1)) |
(* b_2 (- (* (sqrt (* a c)) (/ (sqrt -1) b_2)) 1)) |
(* -1 b_2) |
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))) |
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))) |
(* -1 (* b_2 (+ 1 (* -1 (* (sqrt (* a c)) (/ (sqrt -1) b_2)))))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* (sqrt (* a c)) (sqrt -1)) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (* (sqrt (* a c)) (sqrt -1))) |
(* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))) |
(/ (+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))) a) |
(/ (+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))) a) |
(/ (+ (* -1 (/ (* a c) (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))) a) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2))) a))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2))) a)) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b_2 (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2)))) (sqrt -1))))) a) |
(/ (+ (* -1 (* (sqrt (* a c)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2)))) (* (pow a 2) (* c (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2))) a)) (* (sqrt (/ 1 (* (pow a 3) c))) (/ (* b_2 (- (* (sqrt (/ a c)) (/ (pow b_2 2) (sqrt -1))) (/ (* a b_2) (pow (sqrt -1) 2)))) (sqrt -1)))))) a) |
(* (sqrt (/ c a)) (sqrt -1)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2)) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2))))) (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* a b_2)) a))) a)) |
(* -1 (/ (+ (* -1 (* (sqrt (* a c)) (sqrt -1))) (* -1 (/ (- (+ (* -1 (/ (- (/ (* (pow b_2 2) (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2))) c) (* (sqrt (/ a c)) (* b_2 (* (sqrt -1) (- (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1))) (* a b_2)))))) a)) (* (sqrt (/ a c)) (* (pow b_2 2) (sqrt -1)))) (* a b_2)) a))) a)) |
(* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))))) |
(+ (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))) |
(+ (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))) |
(+ (* -1 (/ c (+ b_2 (* (sqrt (* a c)) (sqrt -1))))) (* -1 (/ (pow b_2 2) (* a (+ b_2 (* (sqrt (* a c)) (sqrt -1))))))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* -1 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))) c))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))) c)) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (sqrt -1))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (* a (* (pow c 2) (pow (sqrt -1) 2))))) (+ (* -1 (/ (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2)))) c)) (* (sqrt (/ 1 (* a (pow c 3)))) (/ (* b_2 (- (* (sqrt (/ c (pow a 3))) (/ (pow b_2 2) (sqrt -1))) (/ (* b_2 c) (* a (pow (sqrt -1) 2))))) (sqrt -1)))))) |
(* (sqrt (/ c a)) (sqrt -1)) |
(- (+ (* (sqrt (/ 1 (* (pow a 3) c))) (* (pow b_2 2) (sqrt -1))) (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a)) |
(+ (* -1 (/ (+ (* -1 (* (sqrt (/ 1 (* a c))) (* b_2 (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a)))))) (* -1 (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a)))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(+ (* -1 (/ (+ (* -1 (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a))) (* -1 (/ (+ (* -1 (/ (* (pow b_2 2) (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a))) a)) (* (sqrt (/ c a)) (* b_2 (* (sqrt -1) (- (* (sqrt (/ c (pow a 3))) (* (pow b_2 2) (sqrt -1))) (/ (* b_2 c) a)))))) c))) c)) (* (sqrt (/ c a)) (sqrt -1))) |
(* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (/ b_2 (* a (pow (sqrt -1) 2)))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* -1 (* b_2 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))) (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3))))))) (/ 1 (* a (pow (sqrt -1) 2)))))) |
(+ (* -1 (* (sqrt (/ c a)) (/ 1 (sqrt -1)))) (* b_2 (+ (* b_2 (+ (* -1 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))) (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))))) (* (sqrt (/ 1 (* a c))) (/ (* b_2 (- (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (sqrt -1))) (* -1 (* (sqrt (/ 1 (* (pow a 3) c))) (/ 1 (pow (sqrt -1) 3)))))) (sqrt -1))))) (/ 1 (* a (pow (sqrt -1) 2)))))) |
(* -1 (/ b_2 a)) |
(* b_2 (- (* (sqrt (/ c a)) (/ (sqrt -1) b_2)) (/ 1 a))) |
(* b_2 (- (+ (* -1 (/ (- c (* -1 (* c (pow (sqrt -1) 2)))) (pow b_2 2))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a))) |
(* b_2 (- (+ (* -1 (/ (- c (* -1 (* c (pow (sqrt -1) 2)))) (pow b_2 2))) (+ (* (sqrt (* a c)) (/ (* (sqrt -1) (- c (* -1 (* c (pow (sqrt -1) 2))))) (pow b_2 3))) (* (sqrt (/ c a)) (/ (sqrt -1) b_2)))) (/ 1 a))) |
(* -1 (/ b_2 a)) |
(* -1 (* b_2 (+ (* -1 (* (sqrt (/ c a)) (/ (sqrt -1) b_2))) (/ 1 a)))) |
(* -1 (* b_2 (+ (* -1 (/ (- (+ (* -1 (/ c b_2)) (* (sqrt (/ c a)) (sqrt -1))) (/ (* c (pow (sqrt -1) 2)) b_2)) b_2)) (/ 1 a)))) |
(* -1 (* b_2 (+ (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 c) (* c (pow (sqrt -1) 2)))) (* (sqrt (* a c)) (/ (* (sqrt -1) (- (* -1 c) (* c (pow (sqrt -1) 2)))) b_2))) b_2)) (* (sqrt (/ c a)) (sqrt -1))) b_2)) (/ 1 a)))) |
(* -1 (pow b_2 2)) |
(- (* -1 (* a c)) (pow b_2 2)) |
(- (* -1 (* a c)) (pow b_2 2)) |
(- (* -1 (* a c)) (pow b_2 2)) |
(* -1 (* a c)) |
(* a (- (* -1 (/ (pow b_2 2) a)) c)) |
(* a (- (* -1 (/ (pow b_2 2) a)) c)) |
(* a (- (* -1 (/ (pow b_2 2) a)) c)) |
(* -1 (* a c)) |
(* -1 (* a (- (/ (pow b_2 2) a) (* -1 c)))) |
(* -1 (* a (- (/ (pow b_2 2) a) (* -1 c)))) |
(* -1 (* a (- (/ (pow b_2 2) a) (* -1 c)))) |
(* -1 (pow b_2 2)) |
(- (* -1 (* a c)) (pow b_2 2)) |
(- (* -1 (* a c)) (pow b_2 2)) |
(- (* -1 (* a c)) (pow b_2 2)) |
(* -1 (* a c)) |
(* c (- (* -1 (/ (pow b_2 2) c)) a)) |
(* c (- (* -1 (/ (pow b_2 2) c)) a)) |
(* c (- (* -1 (/ (pow b_2 2) c)) a)) |
(* -1 (* a c)) |
(* -1 (* c (- (/ (pow b_2 2) c) (* -1 a)))) |
(* -1 (* c (- (/ (pow b_2 2) c) (* -1 a)))) |
(* -1 (* c (- (/ (pow b_2 2) c) (* -1 a)))) |
(* -1 (* a c)) |
(- (* -1 (pow b_2 2)) (* a c)) |
(- (* -1 (pow b_2 2)) (* a c)) |
(- (* -1 (pow b_2 2)) (* a c)) |
(* -1 (pow b_2 2)) |
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1)) |
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1)) |
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1)) |
(* -1 (pow b_2 2)) |
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1)) |
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1)) |
(* (pow b_2 2) (- (* -1 (/ (* a c) (pow b_2 2))) 1)) |
(pow b_2 2) |
(+ (* a c) (pow b_2 2)) |
(+ (* a c) (pow b_2 2)) |
(+ (* a c) (pow b_2 2)) |
(* a c) |
(* a (+ c (/ (pow b_2 2) a))) |
(* a (+ c (/ (pow b_2 2) a))) |
(* a (+ c (/ (pow b_2 2) a))) |
(* a c) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))) |
(* -1 (* a (+ (* -1 c) (* -1 (/ (pow b_2 2) a))))) |
(pow b_2 2) |
(+ (* a c) (pow b_2 2)) |
(+ (* a c) (pow b_2 2)) |
(+ (* a c) (pow b_2 2)) |
(* a c) |
(* c (+ a (/ (pow b_2 2) c))) |
(* c (+ a (/ (pow b_2 2) c))) |
(* c (+ a (/ (pow b_2 2) c))) |
(* a c) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))) |
(* -1 (* c (+ (* -1 a) (* -1 (/ (pow b_2 2) c))))) |
(* a c) |
(+ (* a c) (pow b_2 2)) |
(+ (* a c) (pow b_2 2)) |
(+ (* a c) (pow b_2 2)) |
(pow b_2 2) |
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2)))) |
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2)))) |
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2)))) |
(pow b_2 2) |
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2)))) |
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2)))) |
(* (pow b_2 2) (+ 1 (/ (* a c) (pow b_2 2)))) |
(pow b_2 2) |
(pow b_2 2) |
(pow b_2 2) |
(pow b_2 2) |
(pow b_2 2) |
(pow b_2 2) |
(pow b_2 2) |
(pow b_2 2) |
(pow b_2 2) |
(pow b_2 2) |
(pow b_2 2) |
(pow b_2 2) |
(* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))) |
(* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))) |
(* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))) |
(* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))) |
(* (sqrt (* (pow a 3) c)) (sqrt -1)) |
(* (pow a 2) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))) |
(* (pow a 2) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))) |
(* (pow a 2) (+ (* (sqrt (/ c a)) (sqrt -1)) (/ b_2 a))) |
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) |
(* (pow a 2) (+ (* -1 (* (sqrt (/ c a)) (sqrt -1))) (/ b_2 a))) |
(* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))) |
(* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))) |
(* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))) |
(* a (+ b_2 (* (sqrt (* a c)) (sqrt -1)))) |
(* (sqrt (* (pow a 3) c)) (sqrt -1)) |
(* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c))) |
(* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c))) |
(* c (+ (* (sqrt (/ (pow a 3) c)) (sqrt -1)) (/ (* a b_2) c))) |
(* -1 (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* -1 (* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) |
(* -1 (* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -1)) |
(+ (* a b_2) (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(+ (* a b_2) (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(+ (* a b_2) (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(* a b_2) |
(* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))) |
(* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))) |
(* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))) |
(* a b_2) |
(* -1 (* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))) |
(* -1 (* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))) |
(* -1 (* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))) |
| Outputs |
|---|
(* -2 (/ b_2 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
(* -2 (/ b_2 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
(* -2 (/ b_2 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
(* -2 (/ b_2 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
(* -2 (/ b_2 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
(* -2 (/ b_2 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
(* -2 (/ b_2 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
(* -2 (/ b_2 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
(* -2 (/ b_2 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
(* -2 (/ b_2 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
(* -2 (/ b_2 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
(* -2 (/ b_2 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
(* -2 (/ b_2 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
(* -2 (/ b_2 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
(* -2 (/ b_2 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
(* -2 (/ b_2 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
(* -2 (/ b_2 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
(* -2 (/ b_2 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
(* -2 (/ b_2 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
(* -2 (/ b_2 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
(* -2 (/ b_2 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
(* -2 (/ b_2 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
(* -2 (/ b_2 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
(* -2 (/ b_2 a)) |
(/.f64 (*.f64 #s(literal -2 binary64) b_2) a) |
(* -2 b_2) |
(*.f64 #s(literal -2 binary64) b_2) |
(* -2 b_2) |
(*.f64 #s(literal -2 binary64) b_2) |
(* -2 b_2) |
(*.f64 #s(literal -2 binary64) b_2) |
(* -2 b_2) |
(*.f64 #s(literal -2 binary64) b_2) |
(* -2 b_2) |
(*.f64 #s(literal -2 binary64) b_2) |
(* -2 b_2) |
(*.f64 #s(literal -2 binary64) b_2) |
(* -2 b_2) |
(*.f64 #s(literal -2 binary64) b_2) |
(* -2 b_2) |
(*.f64 #s(literal -2 binary64) b_2) |
(* -2 b_2) |
(*.f64 #s(literal -2 binary64) b_2) |
(* -2 b_2) |
(*.f64 #s(literal -2 binary64) b_2) |
(* -2 b_2) |
(*.f64 #s(literal -2 binary64) b_2) |
(* -2 b_2) |
(*.f64 #s(literal -2 binary64) b_2) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 (/ b_2 a)) |
(/.f64 b_2 (neg.f64 a)) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1 b_2) |
(neg.f64 b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c b_2)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) c) b_2) |
(* -1/2 (/ c (* a b_2))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 a))) |
(* -1/2 (/ c (* a b_2))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 a))) |
(* -1/2 (/ c (* a b_2))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 a))) |
(* -1/2 (/ c (* a b_2))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 a))) |
(* -1/2 (/ c (* a b_2))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 a))) |
(* -1/2 (/ c (* a b_2))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 a))) |
(* -1/2 (/ c (* a b_2))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 a))) |
(* -1/2 (/ c (* a b_2))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 a))) |
(* -1/2 (/ c (* a b_2))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 a))) |
(* -1/2 (/ c (* a b_2))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 a))) |
(* -1/2 (/ c (* a b_2))) |
(*.f64 #s(literal -1/2 binary64) (/.f64 c (*.f64 b_2 a))) |
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(*.f64 c (fma.f64 b_2 (/.f64 a c) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)))))) |
(* -1 (* c (+ (* -1 (/ (* a b_2) c)) (* (sqrt (/ (pow a 3) c)) (sqrt -1))))) |
(*.f64 c (fma.f64 b_2 (/.f64 a c) (neg.f64 (*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (/.f64 (*.f64 a (*.f64 a a)) c)))))) |
(* (sqrt (* (pow a 3) c)) (sqrt -1)) |
(*.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a (*.f64 a (*.f64 a c))))) |
(+ (* a b_2) (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a (*.f64 a (*.f64 a c)))) (*.f64 b_2 a)) |
(+ (* a b_2) (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a (*.f64 a (*.f64 a c)))) (*.f64 b_2 a)) |
(+ (* a b_2) (* (sqrt (* (pow a 3) c)) (sqrt -1))) |
(fma.f64 (sqrt.f64 #s(literal -1 binary64)) (sqrt.f64 (*.f64 a (*.f64 a (*.f64 a c)))) (*.f64 b_2 a)) |
(* a b_2) |
(*.f64 b_2 a) |
(* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))) |
(*.f64 b_2 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (sqrt.f64 (*.f64 a (*.f64 a (*.f64 a c)))) a)) |
(* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))) |
(*.f64 b_2 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (sqrt.f64 (*.f64 a (*.f64 a (*.f64 a c)))) a)) |
(* b_2 (+ a (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))) |
(*.f64 b_2 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (sqrt.f64 (*.f64 a (*.f64 a (*.f64 a c)))) a)) |
(* a b_2) |
(*.f64 b_2 a) |
(* -1 (* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))) |
(*.f64 b_2 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (sqrt.f64 (*.f64 a (*.f64 a (*.f64 a c)))) a)) |
(* -1 (* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))) |
(*.f64 b_2 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (sqrt.f64 (*.f64 a (*.f64 a (*.f64 a c)))) a)) |
(* -1 (* b_2 (+ (* -1 a) (* -1 (* (sqrt (* (pow a 3) c)) (/ (sqrt -1) b_2)))))) |
(*.f64 b_2 (fma.f64 (/.f64 (sqrt.f64 #s(literal -1 binary64)) b_2) (sqrt.f64 (*.f64 a (*.f64 a (*.f64 a c)))) a)) |
Compiled 40 470 to 3 379 computations (91.7% saved)
33 alts after pruning (23 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 703 | 7 | 1 710 |
| Fresh | 1 | 16 | 17 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 706 | 33 | 1 739 |
| Status | Accuracy | Program |
|---|---|---|
| 20.6% | (fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 a)) (sqrt.f64 (neg.f64 c)) (/.f64 b_2 (neg.f64 a))) | |
| 19.2% | (fma.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 (neg.f64 c)) a) (/.f64 b_2 (neg.f64 a))) | |
| 20.6% | (/.f64 (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2)) a) | |
| 17.7% | (/.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) (neg.f64 b_2)) a) | |
| 32.3% | (/.f64 (/.f64 (*.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) a) a) | |
| ✓ | 35.3% | (/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a) |
| ✓ | 53.0% | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 27.0% | (/.f64 (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c) a) | |
| 34.7% | (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) | |
| 11.6% | (/.f64 (*.f64 b_2 (neg.f64 a)) (*.f64 a a)) | |
| ✓ | 35.1% | (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) |
| ✓ | 24.0% | (/.f64 (*.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) (*.f64 a a)) |
| 31.4% | (/.f64 (*.f64 a (neg.f64 c)) (*.f64 a (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))) | |
| ✓ | 14.1% | (/.f64 (neg.f64 b_2) a) |
| 20.6% | (/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2)))) | |
| 17.7% | (/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) (neg.f64 b_2)))) | |
| ✓ | 35.2% | (/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))) |
| 34.2% | (/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)) | |
| 35.0% | (/.f64 #s(literal -2 binary64) (/.f64 a b_2)) | |
| 33.0% | (-.f64 (/.f64 (sqrt.f64 (*.f64 b_2 (fma.f64 (neg.f64 b_2) (*.f64 a (/.f64 c (*.f64 b_2 b_2))) b_2))) a) (/.f64 b_2 a)) | |
| 24.3% | (*.f64 (/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) (*.f64 a a)) a) | |
| 34.7% | (*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (*.f64 (/.f64 #s(literal 1 binary64) a) a)) | |
| 20.6% | (*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2))) | |
| ✓ | 35.2% | (*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)) |
| 26.6% | (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b_2)) (*.f64 a c)) | |
| 35.1% | (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) | |
| ✓ | 34.6% | (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
| 27.4% | (*.f64 a (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) c) b_2)) | |
| ✓ | 23.9% | (*.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a))) |
| 23.5% | (*.f64 a (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b_2)) c)) | |
| 14.8% | (*.f64 a (exp.f64 (*.f64 (log.f64 (*.f64 b_2 (/.f64 (*.f64 #s(literal -2 binary64) a) c))) #s(literal -1 binary64)))) | |
| 33.4% | (neg.f64 (*.f64 b_2 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))) | |
| ✓ | 10.2% | #s(literal 0 binary64) |
Compiled 1 074 to 482 computations (55.1% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.f64 (neg.f64 b_2) a) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2) |
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) |
(/.f64 #s(literal -2 binary64) (/.f64 a b_2)) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)) |
(/.f64 (*.f64 b_2 (neg.f64 a)) (*.f64 a a)) |
(*.f64 a (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b_2)) c)) |
(*.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a))) |
(*.f64 (*.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b_2)) (*.f64 a c)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)) |
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a) |
(*.f64 a (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) c) b_2)) |
(*.f64 a (/.f64 (/.f64 c (*.f64 a #s(literal -2 binary64))) b_2)) |
(/.f64 (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c) a) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) a) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a) |
(*.f64 a (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 c)) (neg.f64 b_2))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)) |
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (*.f64 (/.f64 #s(literal 1 binary64) a) a)) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(neg.f64 (*.f64 b_2 (fma.f64 c (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 b_2)) (/.f64 #s(literal 2 binary64) a)))) |
(*.f64 (/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) (*.f64 a a)) a) |
(/.f64 (*.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) (*.f64 a a)) |
(/.f64 (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) (neg.f64 b_2)) a) |
(/.f64 (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2)) a) |
(/.f64 #s(literal 1 binary64) (/.f64 a (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2))) |
(/.f64 (*.f64 a (neg.f64 c)) (*.f64 a (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2))) |
(/.f64 (/.f64 (*.f64 a (-.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2)) a) a) |
(/.f64 (fma.f64 c #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 c c)) a) (*.f64 b_2 b_2))) b_2) |
(/.f64 (neg.f64 (fma.f64 a c (*.f64 b_2 b_2))) (*.f64 a (+.f64 (sqrt.f64 (*.f64 c (neg.f64 a))) b_2))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (sqrt.f64 (neg.f64 a)) (sqrt.f64 c) (neg.f64 b_2)))) |
(/.f64 #s(literal 1 binary64) (/.f64 a (fma.f64 (sqrt.f64 (neg.f64 c)) (sqrt.f64 a) (neg.f64 b_2)))) |
(fma.f64 (sqrt.f64 a) (/.f64 (sqrt.f64 (neg.f64 c)) a) (/.f64 b_2 (neg.f64 a))) |
(/.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c))) (*.f64 a (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c)))))) |
(fma.f64 (*.f64 (/.f64 #s(literal 1 binary64) a) (sqrt.f64 a)) (sqrt.f64 (neg.f64 c)) (/.f64 b_2 (neg.f64 a))) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c)))))) a) |
(/.f64 (/.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c))) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))) a) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 b_2 (fma.f64 b_2 (neg.f64 (/.f64 (*.f64 a c) (*.f64 b_2 b_2))) b_2)))) a) |
(/.f64 (*.f64 (-.f64 (*.f64 b_2 b_2) (neg.f64 (*.f64 a c))) (/.f64 #s(literal 1 binary64) a)) (-.f64 (neg.f64 b_2) (sqrt.f64 (neg.f64 (*.f64 a c))))) |
(-.f64 (/.f64 (sqrt.f64 (*.f64 b_2 (fma.f64 (neg.f64 b_2) (*.f64 a (/.f64 c (*.f64 b_2 b_2))) b_2))) a) (/.f64 b_2 a)) |
(/.f64 (*.f64 c (fma.f64 c (/.f64 (*.f64 #s(literal -1/8 binary64) (*.f64 a a)) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 (*.f64 a #s(literal -1/2 binary64)) b_2))) a) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (*.f64 a c))))))) a) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (fma.f64 (*.f64 b_2 (*.f64 b_2 b_2)) (/.f64 b_2 (fma.f64 b_2 b_2 (*.f64 a c))) (neg.f64 (/.f64 (*.f64 a (*.f64 a (*.f64 c c))) (fma.f64 b_2 b_2 (*.f64 a c))))))) a) |
(*.f64 (*.f64 (fma.f64 (neg.f64 (*.f64 a c)) (sqrt.f64 (neg.f64 (*.f64 a c))) (*.f64 b_2 (*.f64 b_2 b_2))) (/.f64 #s(literal 1 binary64) a)) (/.f64 #s(literal 1 binary64) (fma.f64 b_2 b_2 (fma.f64 a (neg.f64 c) (*.f64 b_2 (sqrt.f64 (neg.f64 (*.f64 a c)))))))) |
(/.f64 (+.f64 (neg.f64 b_2) (pow.f64 (*.f64 (fma.f64 b_2 b_2 (*.f64 a c)) (fma.f64 b_2 b_2 (*.f64 a c))) #s(literal 1/4 binary64))) a) |
(*.f64 a (exp.f64 (*.f64 (log.f64 (*.f64 b_2 (/.f64 (*.f64 #s(literal -2 binary64) a) c))) #s(literal -1 binary64)))) |
| Outputs |
|---|
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) |
4 calls:
| 20.0ms | c |
| 17.0ms | a |
| 14.0ms | b_2 |
| 12.0ms | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.5% | 2 | a |
| 88.1% | 3 | b_2 |
| 56.4% | 2 | c |
| 77.7% | 5 | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
Compiled 28 to 19 computations (32.1% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.f64 (neg.f64 b_2) a) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2) |
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) |
(/.f64 #s(literal -2 binary64) (/.f64 a b_2)) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)) |
(/.f64 (*.f64 b_2 (neg.f64 a)) (*.f64 a a)) |
(*.f64 a (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b_2)) c)) |
(*.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a))) |
(*.f64 (*.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b_2)) (*.f64 a c)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)) |
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a) |
(*.f64 a (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) c) b_2)) |
(*.f64 a (/.f64 (/.f64 c (*.f64 a #s(literal -2 binary64))) b_2)) |
(/.f64 (*.f64 (*.f64 a (/.f64 #s(literal -1/2 binary64) b_2)) c) a) |
(/.f64 (/.f64 (*.f64 a (*.f64 c #s(literal -1/2 binary64))) b_2) a) |
(/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (*.f64 a (neg.f64 c)))) a) |
(*.f64 a (/.f64 (*.f64 (/.f64 #s(literal -1/2 binary64) a) (neg.f64 c)) (neg.f64 b_2))) |
(*.f64 (/.f64 #s(literal 1 binary64) a) (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2)) |
(*.f64 (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) (*.f64 (/.f64 #s(literal 1 binary64) a) a)) |
| Outputs |
|---|
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) |
(/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) |
1 calls:
| 9.0ms | b_2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.5% | 3 | b_2 |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.f64 (neg.f64 b_2) a) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2) |
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) |
(/.f64 #s(literal -2 binary64) (/.f64 a b_2)) |
(/.f64 #s(literal -1/2 binary64) (/.f64 b_2 c)) |
(/.f64 (*.f64 b_2 (neg.f64 a)) (*.f64 a a)) |
(*.f64 a (*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b_2)) c)) |
(*.f64 a (/.f64 (*.f64 c #s(literal -1/2 binary64)) (*.f64 b_2 a))) |
(*.f64 (*.f64 a c) (/.f64 #s(literal -1/2 binary64) (*.f64 b_2 a))) |
(*.f64 (/.f64 #s(literal -1/2 binary64) (*.f64 a b_2)) (*.f64 a c)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) c)) |
| Outputs |
|---|
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) |
(/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2) |
2 calls:
| 5.0ms | b_2 |
| 4.0ms | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 51.8% | 3 | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 67.4% | 2 | b_2 |
Compiled 20 to 13 computations (35% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.f64 (neg.f64 b_2) a) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2) |
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) |
| Outputs |
|---|
(/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
1 calls:
| 5.0ms | b_2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.3% | 2 | b_2 |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.f64 (neg.f64 b_2) a) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal -2 binary64) a) b_2) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
1 calls:
| 2.0ms | b_2 |
| Accuracy | Segments | Branch |
|---|---|---|
| 67.2% | 2 | b_2 |
Compiled 4 to 3 computations (25% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.f64 (neg.f64 b_2) a) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
| Outputs |
|---|
(/.f64 (neg.f64 b_2) a) |
(*.f64 c (/.f64 #s(literal -1/2 binary64) b_2)) |
4 calls:
| 2.0ms | a |
| 2.0ms | c |
| 2.0ms | b_2 |
| 2.0ms | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 34.6% | 1 | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 34.6% | 1 | a |
| 34.6% | 1 | c |
| 46.3% | 2 | b_2 |
Compiled 28 to 19 computations (32.1% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
(/.f64 (neg.f64 b_2) a) |
| Outputs |
|---|
(/.f64 (neg.f64 b_2) a) |
#s(literal 0 binary64) |
4 calls:
| 15.0ms | a |
| 2.0ms | c |
| 2.0ms | b_2 |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 15.7% | 2 | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 17.4% | 2 | a |
| 14.1% | 1 | c |
| 21.6% | 2 | b_2 |
Compiled 28 to 19 computations (32.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 0 binary64) |
| Outputs |
|---|
#s(literal 0 binary64) |
4 calls:
| 1.0ms | c |
| 1.0ms | b_2 |
| 1.0ms | a |
| 1.0ms | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| Accuracy | Segments | Branch |
|---|---|---|
| 10.2% | 1 | c |
| 10.2% | 1 | (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) |
| 10.2% | 1 | a |
| 10.2% | 1 | b_2 |
Compiled 28 to 19 computations (32.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 23.0ms | 0.5366256859107739 | 11.481956013028844 |
| 16.0ms | -1.0463230013656904e+83 | -4.617931556802107e+78 |
| 11.0ms | 167× | 0 | valid |
| 6.0ms | 35× | 2 | valid |
| 4.0ms | 37× | 1 | valid |
| 1.0ms | 15× | 0 | invalid |
| 0.0ms | 1× | 3 | valid |
Compiled 409 to 286 computations (30.1% saved)
ival-div: 3.0ms (20.4% of total)ival-mult: 3.0ms (20.4% of total)ival-sqrt: 3.0ms (20.4% of total)adjust: 2.0ms (13.6% of total)ival-sub: 2.0ms (13.6% of total)ival-add: 2.0ms (13.6% of total)ival-neg: 1.0ms (6.8% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.5366256859107739 | 11.481956013028844 |
| 14.0ms | -7.077057982385451e-31 | -3.0737577612886485e-32 |
| 8.0ms | 112× | 0 | valid |
| 1.0ms | 20× | 0 | invalid |
Compiled 327 to 240 computations (26.6% saved)
ival-div: 2.0ms (31.1% of total)ival-mult: 2.0ms (31.1% of total)ival-sub: 1.0ms (15.6% of total)ival-add: 1.0ms (15.6% of total)ival-sqrt: 1.0ms (15.6% of total)ival-neg: 1.0ms (15.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 20.0ms | -4.3697559617232956e-308 | 8.240004944135746e-303 |
| 9.0ms | 144× | 0 | valid |
| 4.0ms | 64× | 0 | invalid |
Compiled 181 to 142 computations (21.5% saved)
ival-mult: 2.0ms (25.6% of total)ival-sub: 1.0ms (12.8% of total)ival-div: 1.0ms (12.8% of total)ival-add: 1.0ms (12.8% of total)ival-sqrt: 1.0ms (12.8% of total)ival-neg: 1.0ms (12.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | -4.3697559617232956e-308 | 8.240004944135746e-303 |
| 4.0ms | 64× | 0 | valid |
| 3.0ms | 44× | 0 | invalid |
Compiled 181 to 142 computations (21.5% saved)
ival-div: 1.0ms (25.1% of total)ival-mult: 1.0ms (25.1% of total)ival-sqrt: 1.0ms (25.1% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)ival-add: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-neg: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -4.3697559617232956e-308 | 8.240004944135746e-303 |
Compiled 181 to 142 computations (21.5% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -4.3697559617232956e-308 | 8.240004944135746e-303 |
Compiled 172 to 133 computations (22.7% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -4.3697559617232956e-308 | 8.240004944135746e-303 |
Compiled 136 to 115 computations (15.4% saved)
| 1× | egg-herbie |
| 20× | *-commutative_binary64 |
| 16× | +-commutative_binary64 |
| 14× | sub-neg_binary64 |
| 10× | neg-sub0_binary64 |
| 10× | neg-mul-1_binary64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 123 |
| 1 | 65 | 122 |
| 2 | 83 | 122 |
| 3 | 91 | 122 |
| 4 | 94 | 122 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 b_2 #s(literal -54999999999999999672370477666791145327337730677731539967563527547634755827461521408 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 2476979795053773/4503599627370496 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))) |
(if (<=.f64 b_2 #s(literal -6028694253989975/182687704666362864775460604089535377456991567872 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 2476979795053773/4503599627370496 binary64)) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))) |
(if (<=.f64 b_2 #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)) |
(if (<=.f64 b_2 #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
(if (<=.f64 b_2 #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
(if (<=.f64 b_2 #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 (neg.f64 b_2) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
(if (<=.f64 b_2 #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (neg.f64 b_2) a) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
| Outputs |
|---|
(if (<=.f64 b_2 #s(literal -54999999999999999672370477666791145327337730677731539967563527547634755827461521408 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 2476979795053773/4503599627370496 binary64)) (/.f64 (+.f64 (neg.f64 b_2) (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c)))) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))) |
(if (<=.f64 b_2 #s(literal -54999999999999999672370477666791145327337730677731539967563527547634755827461521408 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 2476979795053773/4503599627370496 binary64)) (/.f64 (-.f64 (sqrt.f64 (-.f64 (*.f64 b_2 b_2) (*.f64 a c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))) |
(if (<=.f64 b_2 #s(literal -6028694253989975/182687704666362864775460604089535377456991567872 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 2476979795053773/4503599627370496 binary64)) (/.f64 (-.f64 (sqrt.f64 (neg.f64 (*.f64 a c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))) |
(if (<=.f64 b_2 #s(literal -6028694253989975/182687704666362864775460604089535377456991567872 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (if (<=.f64 b_2 #s(literal 2476979795053773/4503599627370496 binary64)) (/.f64 (-.f64 (sqrt.f64 (*.f64 a (neg.f64 c))) b_2) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2))) |
(if (<=.f64 b_2 #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (/.f64 (*.f64 c #s(literal -1/2 binary64)) b_2)) |
(if (<=.f64 b_2 #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 (*.f64 b_2 #s(literal -2 binary64)) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
(if (<=.f64 b_2 #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) a) b_2) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
(if (<=.f64 b_2 #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (*.f64 b_2 (/.f64 #s(literal -2 binary64) a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
(if (<=.f64 b_2 #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (/.f64 (neg.f64 b_2) a) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
(if (<=.f64 b_2 #s(literal 151801689980483/50600563326827654588123836679729326762389162441035529589225339506857584891998836722990095925359281123796769466079202977847452184346448369216753349985184627480379356069141590341116726935523304085309941919618186267140501870856173174654525838912289889085202514128089692388083353653807625633046581877161501565826926935273373696 binary64)) (neg.f64 (/.f64 b_2 a)) (*.f64 c (/.f64 #s(literal -1/2 binary64) b_2))) |
(if (<=.f64 b_2 #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (/.f64 (neg.f64 b_2) a) #s(literal 0 binary64)) |
(if (<=.f64 b_2 #s(literal -2024022533073/101201126653655309176247673359458653524778324882071059178450679013715169783997673445980191850718562247593538932158405955694904368692896738433506699970369254960758712138283180682233453871046608170619883839236372534281003741712346349309051677824579778170405028256179384776166707307615251266093163754323003131653853870546747392 binary64)) (neg.f64 (/.f64 b_2 a)) #s(literal 0 binary64)) |
#s(literal 0 binary64) |
| 11 022× | lower-fma.f64 |
| 11 022× | lower-fma.f32 |
| 10 888× | lower-fma.f64 |
| 10 888× | lower-fma.f32 |
| 7 132× | lower-*.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 191 |
| 0 | 60 | 191 |
| 1 | 215 | 187 |
| 2 | 1546 | 187 |
| 0 | 8377 | 187 |
| 0 | 608 | 7282 |
| 1 | 1965 | 7105 |
| 2 | 6733 | 7078 |
| 0 | 8273 | 6867 |
| 0 | 25 | 114 |
| 0 | 47 | 110 |
| 1 | 172 | 102 |
| 2 | 1093 | 100 |
| 0 | 8698 | 100 |
| 0 | 508 | 3200 |
| 1 | 1606 | 3160 |
| 2 | 5520 | 3144 |
| 0 | 8782 | 3008 |
| 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× | node limit |
| 1× | iter limit |
Compiled 371 to 220 computations (40.7% saved)
Compiled 466 to 164 computations (64.8% saved)
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