
Time bar (total: 11.5s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 0 |
| 0% | 0% | 56.2% | 43.8% | 0% | 0% | 0% | 1 |
| 50% | 28.1% | 28.1% | 43.8% | 0% | 0% | 0% | 2 |
| 75% | 42.1% | 14% | 43.8% | 0% | 0% | 0% | 3 |
| 87.5% | 49.2% | 7% | 43.8% | 0% | 0% | 0% | 4 |
| 93.8% | 52.7% | 3.5% | 43.8% | 0% | 0% | 0% | 5 |
| 96.9% | 54.4% | 1.8% | 43.8% | 0% | 0% | 0% | 6 |
| 98.4% | 55.3% | 0.9% | 43.8% | 0% | 0% | 0% | 7 |
| 99.2% | 55.7% | 0.4% | 43.8% | 0% | 0% | 0% | 8 |
| 99.6% | 56% | 0.2% | 43.8% | 0% | 0% | 0% | 9 |
| 99.8% | 56.1% | 0.1% | 43.8% | 0% | 0% | 0% | 10 |
| 99.9% | 56.1% | 0.1% | 43.8% | 0% | 0% | 0% | 11 |
| 100% | 56.1% | 0% | 43.8% | 0% | 0% | 0% | 12 |
Compiled 21 to 15 computations (28.6% saved)
| 528.0ms | 6 042× | 0 | valid |
| 191.0ms | 1 487× | 1 | valid |
| 130.0ms | 727× | 2 | valid |
ival-div: 190.0ms (31.7% of total)ival-add: 172.0ms (28.7% of total)ival-sub: 124.0ms (20.7% of total)adjust: 43.0ms (7.2% of total)ival->: 41.0ms (6.8% of total)exact: 16.0ms (2.7% of total)ival-and: 11.0ms (1.8% of total)ival-assert: 3.0ms (0.5% of total)| 2× | egg-herbie |
| 2 176× | accelerator-lowering-fma.f32 |
| 2 176× | accelerator-lowering-fma.f64 |
| 1 144× | distribute-rgt-in |
| 1 100× | div-sub |
| 1 028× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 82 |
| 1 | 87 | 80 |
| 2 | 190 | 80 |
| 3 | 486 | 78 |
| 4 | 1239 | 78 |
| 5 | 2943 | 78 |
| 6 | 5545 | 78 |
| 7 | 6422 | 78 |
| 8 | 6610 | 78 |
| 9 | 6646 | 78 |
| 10 | 6693 | 78 |
| 11 | 6693 | 78 |
| 12 | 6921 | 78 |
| 13 | 7032 | 78 |
| 14 | 7034 | 78 |
| 15 | 7034 | 78 |
| 16 | 7034 | 78 |
| 17 | 7566 | 78 |
| 18 | 7811 | 78 |
| 19 | 7811 | 78 |
| 20 | 7811 | 78 |
| 21 | 7811 | 78 |
| 0 | 10 | 13 |
| 1 | 22 | 13 |
| 2 | 39 | 13 |
| 3 | 67 | 13 |
| 4 | 127 | 13 |
| 5 | 286 | 13 |
| 6 | 566 | 13 |
| 7 | 942 | 13 |
| 8 | 1610 | 13 |
| 9 | 2828 | 13 |
| 10 | 3039 | 13 |
| 11 | 3126 | 13 |
| 12 | 3180 | 13 |
| 13 | 3182 | 13 |
| 14 | 3182 | 13 |
| 15 | 3182 | 13 |
| 0 | 3182 | 12 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) |
| Outputs |
|---|
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) #s(literal -2 binary64) #s(literal -4 binary64)))) |
| Inputs |
|---|
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) |
(/ (+ (/ (- beta (neg alpha)) (+ (+ (neg alpha) beta) 2)) 1) 2) |
(/ (+ (/ (- (neg beta) alpha) (+ (+ alpha (neg beta)) 2)) 1) 2) |
(neg (/ (+ (/ (- beta (neg alpha)) (+ (+ (neg alpha) beta) 2)) 1) 2)) |
(neg (/ (+ (/ (- (neg beta) alpha) (+ (+ alpha (neg beta)) 2)) 1) 2)) |
(/ (+ (/ (- alpha beta) (+ (+ beta alpha) 2)) 1) 2) |
| Outputs |
|---|
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) |
(+ 1/2 (* (- beta alpha) (/ 1/2 (+ (+ beta alpha) 2)))) |
(/ (+ (/ (- beta (neg alpha)) (+ (+ (neg alpha) beta) 2)) 1) 2) |
(+ 1/2 (/ (+ beta alpha) (+ 4 (* 2 (- beta alpha))))) |
(/ (+ (/ (- (neg beta) alpha) (+ (+ alpha (neg beta)) 2)) 1) 2) |
(+ 1/2 (* (+ beta alpha) (/ 1/2 (+ beta (- -2 alpha))))) |
(neg (/ (+ (/ (- beta (neg alpha)) (+ (+ (neg alpha) beta) 2)) 1) 2)) |
(+ -1/2 (/ (+ beta alpha) (+ -4 (* 2 (- alpha beta))))) |
(neg (/ (+ (/ (- (neg beta) alpha) (+ (+ alpha (neg beta)) 2)) 1) 2)) |
(+ -1/2 (* (+ beta alpha) (/ 1/2 (+ 2 (- alpha beta))))) |
(/ (+ (/ (- alpha beta) (+ (+ beta alpha) 2)) 1) 2) |
(+ 1/2 (* (- beta alpha) (/ 1/2 (- -2 (+ beta alpha))))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 75 | 0 | - | 0 | - | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | beta |
| 0 | 0 | - | 0 | - | (+.f64 alpha beta) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | alpha |
| 0 | 0 | - | 0 | - | (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 0 | 0 | - | 0 | - | (-.f64 beta alpha) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
+.f64 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) | cancellation | 75 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 75 | 0 |
| - | 0 | 181 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 75 | 0 | 0 |
| - | 0 | 0 | 181 |
| number | freq |
|---|---|
| 0 | 181 |
| 1 | 75 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 28.0ms | 368× | 0 | valid |
| 16.0ms | 106× | 1 | valid |
| 7.0ms | 38× | 2 | valid |
Compiled 130 to 44 computations (66.2% saved)
ival-div: 13.0ms (43.6% of total)ival-add: 9.0ms (30.2% of total)ival-sub: 4.0ms (13.4% of total)adjust: 3.0ms (10.1% of total)exact: 1.0ms (3.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 72.9% | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
Compiled 15 to 10 computations (33.3% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 beta alpha) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 512 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 2 176× | accelerator-lowering-fma.f32 |
| 2 176× | accelerator-lowering-fma.f64 |
| 880× | *-lowering-*.f32 |
| 880× | *-lowering-*.f64 |
| 474× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 48 |
| 1 | 22 | 48 |
| 2 | 39 | 48 |
| 3 | 67 | 48 |
| 4 | 127 | 48 |
| 5 | 286 | 48 |
| 6 | 566 | 48 |
| 7 | 942 | 48 |
| 8 | 1610 | 48 |
| 9 | 2828 | 48 |
| 10 | 3039 | 48 |
| 11 | 3126 | 48 |
| 12 | 3180 | 48 |
| 13 | 3182 | 48 |
| 14 | 3182 | 48 |
| 15 | 3182 | 48 |
| 0 | 3182 | 47 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) |
(+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) |
(/ (- beta alpha) (+ (+ alpha beta) 2)) |
(- beta alpha) |
beta |
alpha |
(+ (+ alpha beta) 2) |
(+ alpha beta) |
2 |
1 |
| Outputs |
|---|
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) |
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 alpha beta) (fma.f64 (+.f64 beta alpha) #s(literal -2 binary64) #s(literal -4 binary64)))) |
(+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) |
(+.f64 (/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) #s(literal 1 binary64)) |
(/ (- beta alpha) (+ (+ alpha beta) 2)) |
(/.f64 (-.f64 alpha beta) (-.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) |
(- beta alpha) |
(-.f64 beta alpha) |
beta |
alpha |
(+ (+ alpha beta) 2) |
(+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
(+ alpha beta) |
(+.f64 beta alpha) |
2 |
#s(literal 2 binary64) |
1 |
#s(literal 1 binary64) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 (+.f64 alpha beta) #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 alpha beta) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| ✓ | accuracy | 72.9% | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 13.0ms | 184× | 0 | valid |
| 7.0ms | 53× | 1 | valid |
| 4.0ms | 19× | 2 | valid |
Compiled 50 to 12 computations (76% saved)
ival-div: 4.0ms (31.8% of total)ival-add: 4.0ms (31.8% of total)ival-sub: 2.0ms (15.9% of total)adjust: 1.0ms (7.9% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2)> |
#<alt (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1)> |
#<alt (/ (- beta alpha) (+ (+ alpha beta) 2))> |
#<alt (- beta alpha)> |
#<alt (+ alpha beta)> |
#<alt (+ (+ alpha beta) 2)> |
| Outputs |
|---|
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))> |
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))> |
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))> |
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)> |
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (- 1 (/ alpha (+ 2 alpha)))> |
#<alt (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))> |
#<alt (- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))> |
#<alt (- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))> |
#<alt 2> |
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))> |
#<alt (- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))> |
#<alt (- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))> |
#<alt 2> |
#<alt (- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))> |
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))> |
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))> |
#<alt (+ 1 (/ beta (+ 2 beta)))> |
#<alt (+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))> |
#<alt (+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))> |
#<alt (+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))> |
#<alt (/ (+ 2 (* 2 beta)) alpha)> |
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)> |
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)> |
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)> |
#<alt (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ alpha (+ 2 alpha)))> |
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))> |
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))> |
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))> |
#<alt 1> |
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))> |
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))> |
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))> |
#<alt 1> |
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))> |
#<alt (/ beta (+ 2 beta))> |
#<alt (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))> |
#<alt (+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))> |
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))> |
#<alt -1> |
#<alt (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))> |
#<alt (- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))> |
#<alt (- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))> |
#<alt -1> |
#<alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)> |
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)> |
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)> |
#<alt (* -1 alpha)> |
#<alt (- beta alpha)> |
#<alt (- beta alpha)> |
#<alt (- beta alpha)> |
#<alt beta> |
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))> |
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))> |
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))> |
#<alt beta> |
#<alt (* -1 (* beta (- (/ alpha beta) 1)))> |
#<alt (* -1 (* beta (- (/ alpha beta) 1)))> |
#<alt (* -1 (* beta (- (/ alpha beta) 1)))> |
#<alt beta> |
#<alt (+ beta (* -1 alpha))> |
#<alt (+ beta (* -1 alpha))> |
#<alt (+ beta (* -1 alpha))> |
#<alt (* -1 alpha)> |
#<alt (* alpha (- (/ beta alpha) 1))> |
#<alt (* alpha (- (/ beta alpha) 1))> |
#<alt (* alpha (- (/ beta alpha) 1))> |
#<alt (* -1 alpha)> |
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))> |
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))> |
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))> |
#<alt beta> |
#<alt (+ alpha beta)> |
#<alt (+ alpha beta)> |
#<alt (+ alpha beta)> |
#<alt alpha> |
#<alt (* alpha (+ 1 (/ beta alpha)))> |
#<alt (* alpha (+ 1 (/ beta alpha)))> |
#<alt (* alpha (+ 1 (/ beta alpha)))> |
#<alt alpha> |
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))> |
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))> |
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))> |
#<alt alpha> |
#<alt (+ alpha beta)> |
#<alt (+ alpha beta)> |
#<alt (+ alpha beta)> |
#<alt beta> |
#<alt (* beta (+ 1 (/ alpha beta)))> |
#<alt (* beta (+ 1 (/ alpha beta)))> |
#<alt (* beta (+ 1 (/ alpha beta)))> |
#<alt beta> |
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))> |
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))> |
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))> |
#<alt (+ 2 beta)> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt alpha> |
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))> |
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))> |
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))> |
#<alt alpha> |
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))> |
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))> |
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))> |
#<alt (+ 2 alpha)> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt beta> |
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))> |
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))> |
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))> |
#<alt beta> |
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))> |
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))> |
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))> |
36 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | beta | @ | -inf | (+ (+ alpha beta) 2) |
| 1.0ms | alpha | @ | -inf | (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) |
| 1.0ms | alpha | @ | inf | (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) |
| 1.0ms | alpha | @ | 0 | (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) |
| 1.0ms | beta | @ | 0 | (/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) |
| 1× | batch-egg-rewrite |
| 5 066× | accelerator-lowering-fma.f32 |
| 5 066× | accelerator-lowering-fma.f64 |
| 4 410× | *-lowering-*.f32 |
| 4 410× | *-lowering-*.f64 |
| 4 264× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 44 |
| 1 | 85 | 44 |
| 2 | 742 | 44 |
| 0 | 9043 | 43 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) 2) |
(+ (/ (- beta alpha) (+ (+ alpha beta) 2)) 1) |
(/ (- beta alpha) (+ (+ alpha beta) 2)) |
(- beta alpha) |
(+ alpha beta) |
(+ (+ alpha beta) 2) |
| Outputs |
|---|
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64))) |
(+.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(+.f64 (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(-.f64 (/.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64)) (/.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal 2 binary64)) (/.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)))) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(neg.f64 (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 1/2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)))) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))) |
(/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))) (neg.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) |
(/.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 1/2 binary64))) (-.f64 #s(literal 0 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64))) (+.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1/2 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) |
(*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)))) |
(*.f64 #s(literal -1 binary64) (*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))) |
(*.f64 (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64))) #s(literal -1/2 binary64))) |
(+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) |
(+.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
(+.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) |
(-.f64 #s(literal 0 binary64) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) |
(-.f64 (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))))) (/.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))))) |
(fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (neg.f64 (+.f64 (/.f64 alpha (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)))) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1 binary64)) |
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(/.f64 (-.f64 (*.f64 (+.f64 #s(literal 2 binary64) alpha) (+.f64 #s(literal 2 binary64) alpha)) (*.f64 beta beta)) (-.f64 (+.f64 #s(literal 2 binary64) alpha) beta)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) (*.f64 (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))))) (+.f64 (/.f64 (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))) (/.f64 #s(literal 4 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64)))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) |
(*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) |
(*.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))) |
(*.f64 (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 4 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))))) |
(*.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal -2 binary64))))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal -4 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (-.f64 #s(literal 0 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)))) |
(*.f64 (fma.f64 alpha (*.f64 alpha alpha) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (fma.f64 alpha alpha (-.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 beta #s(literal 2 binary64))))))) |
(*.f64 (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 alpha (+.f64 beta #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 alpha (+.f64 beta #s(literal 2 binary64))))) |
(*.f64 (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) |
| 1× | egg-herbie |
| 9 688× | accelerator-lowering-fma.f32 |
| 9 688× | accelerator-lowering-fma.f64 |
| 3 924× | +-lowering-+.f64 |
| 3 924× | +-lowering-+.f32 |
| 3 726× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 433 | 2500 |
| 1 | 1394 | 2354 |
| 2 | 4563 | 2155 |
| 0 | 8642 | 2014 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(- 1 (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
2 |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(/ (+ 2 (* 2 beta)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ alpha (+ 2 alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
1 |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) |
1 |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
-1 |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) |
-1 |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
(* -1 alpha) |
(- beta alpha) |
(- beta alpha) |
(- beta alpha) |
beta |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
beta |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
beta |
(+ beta (* -1 alpha)) |
(+ beta (* -1 alpha)) |
(+ beta (* -1 alpha)) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (- (/ beta alpha) 1)) |
(* -1 alpha) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
beta |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
alpha |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
alpha |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
beta |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
beta |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(+ 2 alpha) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
beta |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
beta |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
| Outputs |
|---|
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1 binary64)) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
(fma.f64 beta (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta (fma.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))) (fma.f64 beta (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -2 binary64) alpha)) (*.f64 beta beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(fma.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 beta (*.f64 beta beta)))) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -2 binary64) alpha)) (*.f64 beta beta))) (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)) (*.f64 #s(literal -1/2 binary64) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)))) beta) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -1 binary64)))) beta)) beta)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 alpha (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
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(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)))) alpha) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(-.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (-.f64 #s(literal -2 binary64) beta))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))))) alpha)) alpha)) alpha)) |
(- 1 (/ alpha (+ 2 alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(fma.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
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(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
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2 |
#s(literal 2 binary64) |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta)) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
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(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
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2 |
#s(literal 2 binary64) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+.f64 #s(literal 2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64))) beta)) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(+.f64 #s(literal 2 binary64) (/.f64 (+.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64)))) beta)) beta)) |
(+ 1 (/ beta (+ 2 beta))) |
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
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(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(fma.f64 alpha (+.f64 (fma.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
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(/ (+ 2 (* 2 beta)) alpha) |
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
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(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
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(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
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(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
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(* -1 (/ alpha (+ 2 alpha))) |
(/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (fma.f64 beta (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
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1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64))) beta)) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 beta (*.f64 beta beta)))) (-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64))) beta)))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(+.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64)))) beta)) beta)) |
(/ beta (+ 2 beta)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 alpha (+.f64 (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 alpha (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) #s(literal -1 binary64))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 alpha (+.f64 (fma.f64 alpha (-.f64 (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 alpha (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
-1 |
#s(literal -1 binary64) |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 alpha alpha)) (-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))) |
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) |
(-.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (*.f64 alpha alpha))) #s(literal -1 binary64)) (/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha)) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha)) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
(-.f64 #s(literal -1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha)))) alpha) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha)) |
(* -1 alpha) |
(-.f64 #s(literal 0 binary64) alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
beta |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))) |
beta |
(* -1 (* beta (- (/ alpha beta) 1))) |
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))) |
beta |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(* -1 alpha) |
(-.f64 #s(literal 0 binary64) alpha) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha))) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha))) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha))) |
(* -1 alpha) |
(-.f64 #s(literal 0 binary64) alpha) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha))) |
beta |
(+ alpha beta) |
(+.f64 alpha beta) |
(+ alpha beta) |
(+.f64 alpha beta) |
(+ alpha beta) |
(+.f64 alpha beta) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 alpha (/.f64 beta alpha) alpha) |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 alpha (/.f64 beta alpha) alpha) |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 alpha (/.f64 beta alpha) alpha) |
alpha |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(fma.f64 alpha (/.f64 beta alpha) alpha) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(fma.f64 alpha (/.f64 beta alpha) alpha) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(fma.f64 alpha (/.f64 beta alpha) alpha) |
alpha |
(+ alpha beta) |
(+.f64 alpha beta) |
(+ alpha beta) |
(+.f64 alpha beta) |
(+ alpha beta) |
(+.f64 alpha beta) |
beta |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 beta (/.f64 alpha beta) beta) |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 beta (/.f64 alpha beta) beta) |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 beta (/.f64 alpha beta) beta) |
beta |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal -1 binary64) (/.f64 alpha beta))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal -1 binary64) (/.f64 alpha beta))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal -1 binary64) (/.f64 alpha beta))) |
(+ 2 beta) |
(+.f64 #s(literal 2 binary64) beta) |
(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 alpha (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 alpha (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 alpha (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(*.f64 alpha (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha))) |
(+ 2 alpha) |
(+.f64 alpha #s(literal 2 binary64)) |
(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
(+ 2 (+ alpha beta)) |
(+.f64 alpha (+.f64 #s(literal 2 binary64) beta)) |
beta |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta) |
beta |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(fma.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(fma.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(fma.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) beta) |
Compiled 18 403 to 2 325 computations (87.4% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 592 | 10 | 602 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 593 | 10 | 603 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 72.9% | (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| ▶ | 71.7% | (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
| 42.4% | (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (*.f64 (-.f64 beta alpha) (+.f64 beta alpha))) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (-.f64 alpha beta) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| ▶ | 72.8% | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 29.8% | (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) | |
| ▶ | 44.6% | (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))) |
| 31.0% | (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) | |
| 48.6% | (+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))) | |
| 44.6% | (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)))) | |
| ▶ | 37.2% | #s(literal 1 binary64) |
Compiled 416 to 220 computations (47.1% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))) |
| ✓ | cost-diff | 128 | (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) |
| ✓ | cost-diff | 192 | (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) |
| ✓ | cost-diff | 512 | (/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) beta) |
| ✓ | cost-diff | 0 | (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 beta alpha) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| 16 228× | accelerator-lowering-fma.f32 |
| 16 228× | accelerator-lowering-fma.f64 |
| 3 568× | *-lowering-*.f32 |
| 3 568× | *-lowering-*.f64 |
| 3 392× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 237 |
| 1 | 70 | 235 |
| 2 | 169 | 235 |
| 3 | 648 | 235 |
| 4 | 2486 | 235 |
| 5 | 4702 | 235 |
| 0 | 8228 | 228 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2) |
(/ (- beta alpha) (+ beta (+ alpha 2))) |
(- beta alpha) |
beta |
alpha |
(+ beta (+ alpha 2)) |
(+ alpha 2) |
2 |
1/2 |
1 |
(+ (* 1/2 (/ beta (+ 2 beta))) 1/2) |
1/2 |
(/ beta (+ 2 beta)) |
beta |
(+ 2 beta) |
2 |
(/ (+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1) 2) |
(+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1) |
(/ 1 (+ beta (+ alpha 2))) |
1 |
(+ beta (+ alpha 2)) |
beta |
(+ alpha 2) |
alpha |
2 |
(- beta alpha) |
(/ (+ (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) -1) (+ (* 2 (/ (- beta alpha) (+ beta (+ alpha 2)))) -2)) |
(+ (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) -1) |
(/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) |
(* (- beta alpha) (- beta alpha)) |
(- beta alpha) |
beta |
alpha |
(* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))) |
(+ beta (+ alpha 2)) |
(+ alpha 2) |
2 |
-1 |
(+ (* 2 (/ (- beta alpha) (+ beta (+ alpha 2)))) -2) |
(/ (- beta alpha) (+ beta (+ alpha 2))) |
-2 |
| Outputs |
|---|
(+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) |
(/ (- beta alpha) (+ beta (+ alpha 2))) |
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) |
(- beta alpha) |
(-.f64 beta alpha) |
beta |
alpha |
(+ beta (+ alpha 2)) |
(+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
(+ alpha 2) |
(+.f64 alpha #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
1 |
#s(literal 1 binary64) |
(+ (* 1/2 (/ beta (+ 2 beta))) 1/2) |
(fma.f64 beta (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(/ beta (+ 2 beta)) |
(/.f64 beta (+.f64 beta #s(literal 2 binary64))) |
beta |
(+ 2 beta) |
(+.f64 beta #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(/ (+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1) 2) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) |
(+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1) |
(+.f64 (/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) |
(/ 1 (+ beta (+ alpha 2))) |
(/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ beta (+ alpha 2)) |
(+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
beta |
(+ alpha 2) |
(+.f64 alpha #s(literal 2 binary64)) |
alpha |
2 |
#s(literal 2 binary64) |
(- beta alpha) |
(-.f64 beta alpha) |
(/ (+ (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) -1) (+ (* 2 (/ (- beta alpha) (+ beta (+ alpha 2)))) -2)) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) (fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64))) |
(+ (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) -1) |
(fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 alpha beta) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) |
(/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) |
(/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) |
(* (- beta alpha) (- beta alpha)) |
(*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) |
(- beta alpha) |
(-.f64 beta alpha) |
beta |
alpha |
(* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))) |
(*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) |
(+ beta (+ alpha 2)) |
(+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
(+ alpha 2) |
(+.f64 alpha #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
-1 |
#s(literal -1 binary64) |
(+ (* 2 (/ (- beta alpha) (+ beta (+ alpha 2)))) -2) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 2 binary64) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64)) |
(/ (- beta alpha) (+ beta (+ alpha 2))) |
(/.f64 (-.f64 alpha beta) (-.f64 #s(literal -2 binary64) (+.f64 beta alpha))) |
-2 |
#s(literal -2 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) |
| ✓ | accuracy | 74.0% | (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)) |
| ✓ | accuracy | 73.9% | (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) |
| ✓ | accuracy | 46.9% | (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 alpha #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) |
| ✓ | accuracy | 72.8% | (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 2 binary64) beta) |
| ✓ | accuracy | 100.0% | (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
| ✓ | accuracy | 100.0% | (+.f64 alpha #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) |
| ✓ | accuracy | 72.9% | (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| 40.0ms | 100× | 1 | valid |
| 26.0ms | 42× | 2 | valid |
| 24.0ms | 114× | 0 | valid |
Compiled 235 to 30 computations (87.2% saved)
ival-add: 21.0ms (34.7% of total)ival-div: 16.0ms (26.5% of total)ival-mult: 14.0ms (23.2% of total)adjust: 6.0ms (9.9% of total)ival-sub: 3.0ms (5% of total)exact: 1.0ms (1.7% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2)> |
#<alt (/ (- beta alpha) (+ beta (+ alpha 2)))> |
#<alt (- beta alpha)> |
#<alt (+ beta (+ alpha 2))> |
#<alt (+ (* 1/2 (/ beta (+ 2 beta))) 1/2)> |
#<alt (/ beta (+ 2 beta))> |
#<alt (+ 2 beta)> |
#<alt (/ (+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1) 2)> |
#<alt (+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1)> |
#<alt (/ 1 (+ beta (+ alpha 2)))> |
#<alt (+ (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) -1)> |
#<alt (/ (+ (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) -1) (+ (* 2 (/ (- beta alpha) (+ beta (+ alpha 2)))) -2))> |
#<alt (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))))> |
#<alt (* (- beta alpha) (- beta alpha))> |
#<alt (+ alpha 2)> |
#<alt (+ (* 2 (/ (- beta alpha) (+ beta (+ alpha 2)))) -2)> |
#<alt (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))> |
| Outputs |
|---|
#<alt (+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))> |
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))> |
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))> |
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))> |
#<alt (+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))> |
#<alt (+ 1/2 (* 1/2 (/ beta (+ 2 beta))))> |
#<alt (+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))> |
#<alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))> |
#<alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))> |
#<alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))> |
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)> |
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)> |
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)> |
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ alpha (+ 2 alpha)))> |
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))> |
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))> |
#<alt (+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))> |
#<alt 1> |
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))> |
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))> |
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))> |
#<alt 1> |
#<alt (- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))> |
#<alt (/ beta (+ 2 beta))> |
#<alt (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))> |
#<alt (+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))> |
#<alt (+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))> |
#<alt -1> |
#<alt (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))> |
#<alt (- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha))))> |
#<alt (- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))> |
#<alt -1> |
#<alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)> |
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1)> |
#<alt (- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1)> |
#<alt (* -1 alpha)> |
#<alt (- beta alpha)> |
#<alt (- beta alpha)> |
#<alt (- beta alpha)> |
#<alt beta> |
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))> |
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))> |
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))> |
#<alt beta> |
#<alt (* -1 (* beta (- (/ alpha beta) 1)))> |
#<alt (* -1 (* beta (- (/ alpha beta) 1)))> |
#<alt (* -1 (* beta (- (/ alpha beta) 1)))> |
#<alt beta> |
#<alt (+ beta (* -1 alpha))> |
#<alt (+ beta (* -1 alpha))> |
#<alt (+ beta (* -1 alpha))> |
#<alt (* -1 alpha)> |
#<alt (* alpha (- (/ beta alpha) 1))> |
#<alt (* alpha (- (/ beta alpha) 1))> |
#<alt (* alpha (- (/ beta alpha) 1))> |
#<alt (* -1 alpha)> |
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))> |
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))> |
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))> |
#<alt (+ 2 alpha)> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt beta> |
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))> |
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))> |
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))> |
#<alt beta> |
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))> |
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))> |
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))> |
#<alt (+ 2 beta)> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt alpha> |
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))> |
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))> |
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))> |
#<alt alpha> |
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))> |
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))> |
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/4 beta))> |
#<alt (+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))> |
#<alt (+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8)))))> |
#<alt 1> |
#<alt (- 1 (/ 1 beta))> |
#<alt (- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta))> |
#<alt (- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3)))))> |
#<alt 1> |
#<alt (- 1 (/ 1 beta))> |
#<alt (+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta)))> |
#<alt (* 1/2 beta)> |
#<alt (* beta (+ 1/2 (* -1/4 beta)))> |
#<alt (* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4))))> |
#<alt (* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4))))> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 beta)))> |
#<alt (- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta)))> |
#<alt (- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3)))))> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 beta)))> |
#<alt (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta)))> |
#<alt 2> |
#<alt (+ 2 beta)> |
#<alt (+ 2 beta)> |
#<alt (+ 2 beta)> |
#<alt beta> |
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))> |
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))> |
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))> |
#<alt beta> |
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))> |
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))> |
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))> |
#<alt (* 1/2 (- 1 (/ alpha (+ 2 alpha))))> |
#<alt (+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha)))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))))> |
#<alt (+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))> |
#<alt 1> |
#<alt (+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta)))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))> |
#<alt (+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))> |
#<alt (* 1/2 (+ 1 (/ beta (+ 2 beta))))> |
#<alt (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta)))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))> |
#<alt (+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha)> |
#<alt (/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha)> |
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (- 1 (/ alpha (+ 2 alpha)))> |
#<alt (- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha)))> |
#<alt (- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))> |
#<alt (- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha)))> |
#<alt 2> |
#<alt (+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta)))> |
#<alt (- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta)))))> |
#<alt (- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3))))))> |
#<alt 2> |
#<alt (- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))> |
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta)))> |
#<alt (+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta)))> |
#<alt (+ 1 (/ beta (+ 2 beta)))> |
#<alt (+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))> |
#<alt (+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))> |
#<alt (+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))))> |
#<alt (/ (+ 2 (* 2 beta)) alpha)> |
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha)> |
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha)> |
#<alt (/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha)> |
#<alt (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha))> |
#<alt (/ 1 (+ 2 alpha))> |
#<alt (+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha)))> |
#<alt (+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))> |
#<alt (+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha)))> |
#<alt (/ 1 beta)> |
#<alt (/ (+ 1 (* -1 (/ (+ 2 alpha) beta))) beta)> |
#<alt (/ (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) beta)> |
#<alt (/ (- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))) beta)> |
#<alt (/ 1 beta)> |
#<alt (* -1 (/ (- (+ (* 2 (/ 1 beta)) (/ alpha beta)) 1) beta))> |
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#<alt (* (pow alpha 2) (+ 1 (* -2 (/ beta alpha))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* -2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* -2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))))> |
#<alt (pow alpha 2)> |
#<alt (* (pow alpha 2) (+ 1 (* -2 (/ beta alpha))))> |
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow beta 2) alpha)) (* 2 beta)) alpha))))> |
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow beta 2) alpha)) (* 2 beta)) alpha))))> |
#<alt 2> |
#<alt (+ 2 alpha)> |
#<alt (+ 2 alpha)> |
#<alt (+ 2 alpha)> |
#<alt alpha> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt alpha> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt (- (* -2 (/ alpha (+ 2 alpha))) 2)> |
#<alt (- (+ (* -2 (/ alpha (+ 2 alpha))) (* 2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))) 2)> |
#<alt (- (+ (* -2 (/ alpha (+ 2 alpha))) (* beta (+ (* 2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) 2)> |
#<alt (- (+ (* -2 (/ alpha (+ 2 alpha))) (* beta (+ (* 2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) 2)> |
#<alt (* 2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))> |
#<alt (/ (+ (* -2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* 2 (- (* -1 alpha) (+ 2 alpha)))) beta)> |
#<alt (/ (+ (* -2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* 2 (- (* -1 alpha) (+ 2 alpha))) (* 2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) beta)> |
#<alt (/ (+ (* -2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -2 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (+ (* 2 (- (* -1 alpha) (+ 2 alpha))) (* 2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))) beta)> |
#<alt (* 2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))> |
#<alt (* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* 2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))> |
#<alt (* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) beta))> |
#<alt (* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (+ (* -2 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (* 2 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) beta))) beta))> |
#<alt (- (* 2 (/ beta (+ 2 beta))) 2)> |
#<alt (- (+ (* -2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 2 (/ beta (+ 2 beta)))) 2)> |
#<alt (- (+ (* 2 (/ beta (+ 2 beta))) (* alpha (+ (* -2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))) 2)> |
#<alt (- (+ (* 2 (/ beta (+ 2 beta))) (* alpha (+ (* -2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))) 2)> |
#<alt -4> |
#<alt (- (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 4)> |
#<alt (- (+ (* -2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 4)> |
#<alt (- (+ (* -2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 4)> |
#<alt -4> |
#<alt (- (* -2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 4)> |
#<alt (- (* -1 (/ (+ (* -2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 2 (- (* -1 beta) (+ 2 beta)))) alpha)) 4)> |
#<alt (- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 2 (- (* -1 beta) (+ 2 beta)))) alpha)) 4)> |
#<alt (pow (+ 2 alpha) 2)> |
#<alt (+ (* beta (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2))> |
#<alt (+ (* beta (+ 4 (+ beta (* 2 alpha)))) (pow (+ 2 alpha) 2))> |
#<alt (+ (* beta (+ 4 (+ beta (* 2 alpha)))) (pow (+ 2 alpha) 2))> |
#<alt (pow beta 2)> |
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))))> |
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))> |
#<alt (* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2))))))> |
#<alt (pow beta 2)> |
#<alt (* (pow beta 2) (+ 1 (* 2 (/ (+ 2 alpha) beta))))> |
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 alpha)) (* -1 (/ (pow (+ 2 alpha) 2) beta))) beta))))> |
#<alt (* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 alpha)) (* -1 (/ (pow (+ 2 alpha) 2) beta))) beta))))> |
#<alt (pow (+ 2 beta) 2)> |
#<alt (+ (* alpha (+ 4 (* 2 beta))) (pow (+ 2 beta) 2))> |
#<alt (+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))> |
#<alt (+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2))> |
#<alt (pow alpha 2)> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))> |
#<alt (* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2))))))> |
#<alt (pow alpha 2)> |
#<alt (* (pow alpha 2) (+ 1 (* 2 (/ (+ 2 beta) alpha))))> |
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha))))> |
#<alt (* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha))))> |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | beta | @ | 0 | (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) |
| 4.0ms | alpha | @ | inf | (/ (+ (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) -1) (+ (* 2 (/ (- beta alpha) (+ beta (+ alpha 2)))) -2)) |
| 4.0ms | beta | @ | inf | (/ (+ (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) -1) (+ (* 2 (/ (- beta alpha) (+ beta (+ alpha 2)))) -2)) |
| 3.0ms | beta | @ | 0 | (/ (+ (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) -1) (+ (* 2 (/ (- beta alpha) (+ beta (+ alpha 2)))) -2)) |
| 3.0ms | alpha | @ | -inf | (+ (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) -1) |
| 1× | batch-egg-rewrite |
| 5 822× | *-lowering-*.f32 |
| 5 822× | *-lowering-*.f64 |
| 4 502× | /-lowering-/.f32 |
| 4 502× | /-lowering-/.f64 |
| 2 354× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 163 |
| 1 | 219 | 157 |
| 2 | 2008 | 157 |
| 0 | 8876 | 152 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (/ (- beta alpha) (+ beta (+ alpha 2))) 1/2) 1/2) |
(/ (- beta alpha) (+ beta (+ alpha 2))) |
(- beta alpha) |
(+ beta (+ alpha 2)) |
(+ (* 1/2 (/ beta (+ 2 beta))) 1/2) |
(/ beta (+ 2 beta)) |
(+ 2 beta) |
(/ (+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1) 2) |
(+ (* (/ 1 (+ beta (+ alpha 2))) (- beta alpha)) 1) |
(/ 1 (+ beta (+ alpha 2))) |
(+ (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) -1) |
(/ (+ (/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) -1) (+ (* 2 (/ (- beta alpha) (+ beta (+ alpha 2)))) -2)) |
(/ (* (- beta alpha) (- beta alpha)) (* (+ beta (+ alpha 2)) (+ beta (+ alpha 2)))) |
(* (- beta alpha) (- beta alpha)) |
(+ alpha 2) |
(+ (* 2 (/ (- beta alpha) (+ beta (+ alpha 2)))) -2) |
(* (+ beta (+ alpha 2)) (+ beta (+ alpha 2))) |
| Outputs |
|---|
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) |
(+.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)))) |
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (-.f64 beta alpha) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta)))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(neg.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal -2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(literal 2 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64))) (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)) (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))))) |
(/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64))) (neg.f64 (*.f64 #s(literal 2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1/8 binary64)) (-.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64)))) |
(/.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) |
(/.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64) #s(literal -1/4 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (neg.f64 (*.f64 #s(literal 2 binary64) (-.f64 (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) #s(literal 2 binary64)) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1/8 binary64))) (neg.f64 (-.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64) #s(literal 1/4 binary64)) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/4 binary64))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal 1/8 binary64))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) |
(/.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/4 binary64))) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) |
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(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (/.f64 alpha (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) |
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(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) beta (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal 0 binary64) alpha))) |
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(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) |
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(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) #s(literal -1 binary64)) (*.f64 (+.f64 beta alpha) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) |
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(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 beta alpha))) |
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(/.f64 (*.f64 #s(literal -1 binary64) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (+.f64 beta alpha))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha))) (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))) |
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(/.f64 (*.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) |
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(pow.f64 (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64))) #s(literal -1 binary64)) |
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(exp.f64 (*.f64 (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -1 binary64))) |
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(pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal -1 binary64)) |
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(+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal -1 binary64)) |
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(pow.f64 (/.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 4 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 #s(literal 8 binary64) (/.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 4 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -4 binary64)))))) |
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(fma.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) |
(fma.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) |
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(/.f64 (*.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta)))) (*.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)))) |
(/.f64 (*.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (*.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) |
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta)))) (*.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)))) |
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (*.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) |
(/.f64 (fma.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (fma.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (*.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) (-.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta)))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta))) |
(/.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) |
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(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (neg.f64 (*.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64))) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))))) (neg.f64 (fma.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (*.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) (neg.f64 (-.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta))))) (neg.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (neg.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (neg.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (neg.f64 (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) |
(pow.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 2 binary64)) |
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) |
(*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) |
(*.f64 (*.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta))) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta (*.f64 beta beta)))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 (+.f64 alpha #s(literal 2 binary64)) beta) (*.f64 beta beta))) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (-.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 2 binary64))) |
(*.f64 (exp.f64 (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) (exp.f64 (log.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) |
| 1× | egg-herbie |
| 6 798× | accelerator-lowering-fma.f32 |
| 6 798× | accelerator-lowering-fma.f64 |
| 5 904× | *-lowering-*.f32 |
| 5 904× | *-lowering-*.f64 |
| 5 580× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1464 | 14761 |
| 1 | 4738 | 14378 |
| 0 | 9073 | 13376 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ alpha (+ 2 alpha))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
1 |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) |
1 |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
-1 |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) |
-1 |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
(* -1 alpha) |
(- beta alpha) |
(- beta alpha) |
(- beta alpha) |
beta |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
beta |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
beta |
(+ beta (* -1 alpha)) |
(+ beta (* -1 alpha)) |
(+ beta (* -1 alpha)) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (- (/ beta alpha) 1)) |
(* -1 alpha) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(+ 2 alpha) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
beta |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
beta |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
1 |
(- 1 (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
1 |
(- 1 (/ 1 beta)) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(* 1/2 beta) |
(* beta (+ 1/2 (* -1/4 beta))) |
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))) |
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4)))) |
1 |
(- 1 (* 2 (/ 1 beta))) |
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta))) |
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3))))) |
1 |
(- 1 (* 2 (/ 1 beta))) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta))) |
2 |
(+ 2 beta) |
(+ 2 beta) |
(+ 2 beta) |
beta |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
beta |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
1 |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(- 1 (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
2 |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
2 |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
(+ 1 (/ beta (+ 2 beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
(/ (+ 2 (* 2 beta)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(/ 1 (+ 2 alpha)) |
(+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))) |
(+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) |
(+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) |
(/ 1 beta) |
(/ (+ 1 (* -1 (/ (+ 2 alpha) beta))) beta) |
(/ (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) beta) |
(/ (- (+ 1 (* -1 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta)))) beta) |
(/ 1 beta) |
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(* -1/4 (/ (- (* -2 beta) (+ 4 (* 2 beta))) alpha)) |
(/ (- (+ (* -1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (* -1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha))) (* 1/8 (/ (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha))) alpha) |
(/ (- (+ (* -1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (+ (* -1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha)) (* 1/4 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2))))) (+ (* -1/2 (/ (* (- beta (* -1 (+ 2 beta))) (- (* -1/4 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta))))))) (pow alpha 2))) (+ (* -1/8 (/ (* (+ 2 beta) (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2))) (* 1/8 (/ (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha))))) alpha) |
(/ (- (+ (* -1/4 (- (* -2 beta) (+ 4 (* 2 beta)))) (+ (* -1/4 (/ (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))) alpha)) (+ (* 1/4 (/ (+ (* -1 (* (+ 4 (* 2 beta)) (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))))) (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2))))) (pow alpha 3))) (* 1/4 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2)))))) (+ (* -1/2 (/ (* (- beta (* -1 (+ 2 beta))) (- (* -1/4 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta))))))) (pow alpha 2))) (+ (* -1/2 (/ (* (- beta (* -1 (+ 2 beta))) (- (* 1/4 (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta)))))) (+ (* -1/2 (* (- beta (* -1 (+ 2 beta))) (- (* -1/4 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))))))) (* -1/8 (* (+ 2 beta) (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta))))))))) (pow alpha 3))) (+ (* -1/8 (/ (* (+ 2 beta) (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 2))) (+ (* 1/8 (/ (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))) alpha)) (+ (* 1/8 (/ (* (pow (+ 2 beta) 2) (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 3))) (* 1/2 (/ (* (+ 2 beta) (* (- beta (* -1 (+ 2 beta))) (- (* -1/4 (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- beta (* -1 (+ 2 beta))) (- (* -2 beta) (+ 4 (* 2 beta)))))))) (pow alpha 3))))))))) alpha) |
(* 1/4 (/ (- (* 2 beta) (* -2 (+ 2 beta))) alpha)) |
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(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))))) (+ (* -1/2 (* (- (* -1 beta) (+ 2 beta)) (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) (* 1/8 (* (+ 2 beta) (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) alpha)) (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (* -1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha)) |
(* -1 (/ (+ (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (/ (- (* 1/4 (+ (* 2 (* (+ 2 beta) (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta))))))) (* (pow (+ 2 beta) 2) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))))) (+ (* -1/2 (* (+ 2 beta) (* (- (* -1 beta) (+ 2 beta)) (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta))))))))) (+ (* -1/2 (* (- (* -1 beta) (+ 2 beta)) (- (* 1/4 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))))) (+ (* -1/2 (* (- (* -1 beta) (+ 2 beta)) (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) (* 1/8 (* (+ 2 beta) (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))))) (* 1/8 (* (pow (+ 2 beta) 2) (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta))))))))) alpha)) (* 1/4 (+ (* -2 (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta))))))) (+ (* -1/2 (* (- (* -1 beta) (+ 2 beta)) (- (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) (* 1/8 (* (+ 2 beta) (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))))) alpha)) (* -1/4 (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))))) (* 1/8 (* (- (* -1 beta) (+ 2 beta)) (- (* 2 beta) (* -2 (+ 2 beta)))))) alpha)) (* -1/4 (- (* 2 beta) (* -2 (+ 2 beta))))) alpha)) |
(/ (pow alpha 2) (pow (+ 2 alpha) 2)) |
(+ (* beta (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2))) |
(+ (* beta (- (+ (* -2 (/ alpha (pow (+ 2 alpha) 2))) (* beta (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2))) |
(+ (* beta (- (+ (* -2 (/ alpha (pow (+ 2 alpha) 2))) (* beta (- (+ (* beta (- (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 6)) (+ (* -2 (/ alpha (pow (+ 2 alpha) 4))) (/ (* (+ 4 (* 2 alpha)) (- (/ 1 (pow (+ 2 alpha) 2)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4))))) (pow (+ 2 alpha) 2))))) (/ 1 (pow (+ 2 alpha) 2))) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 (/ alpha (pow (+ 2 alpha) 2))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (pow (+ 2 alpha) 2)) (/ (pow alpha 2) (pow (+ 2 alpha) 4)))))) (/ (* (pow alpha 2) (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 4)))) (/ (pow alpha 2) (pow (+ 2 alpha) 2))) |
1 |
(- (+ 1 (* -2 (/ alpha beta))) (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta)))) |
(- (+ 1 (+ (* -2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2)))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) |
(- (+ 1 (+ (* -2 (/ alpha beta)) (+ (* -1 (/ (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))) (pow beta 3))) (/ (pow alpha 2) (pow beta 2))))) (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) |
1 |
(+ 1 (* -1 (/ (- (* 2 alpha) (* -2 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 alpha) (- (pow alpha 2) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2)))) beta)) (+ (/ (* (pow (+ 2 alpha) 2) (- (* 2 alpha) (* -2 (+ 2 alpha)))) beta) (pow alpha 2))) (+ (* -2 (* (+ 2 alpha) (- (* 2 alpha) (* -2 (+ 2 alpha))))) (pow (+ 2 alpha) 2))) beta)) (* 2 alpha)) (* -2 (+ 2 alpha))) beta))) |
(/ (pow beta 2) (pow (+ 2 beta) 2)) |
(+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
(+ (* alpha (- (+ (* -2 (/ beta (pow (+ 2 beta) 2))) (* alpha (- (+ (* alpha (- (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 6)) (+ (* -2 (/ beta (pow (+ 2 beta) 4))) (/ (* (+ 4 (* 2 beta)) (- (/ 1 (pow (+ 2 beta) 2)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4))))) (pow (+ 2 beta) 2))))) (/ 1 (pow (+ 2 beta) 2))) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (pow (+ 2 beta) 2)) (/ (pow beta 2) (pow (+ 2 beta) 4)))))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
1 |
(- (+ 1 (* -2 (/ beta alpha))) (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))) |
(- (+ 1 (+ (* -2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2)))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))) |
(- (+ 1 (+ (* -2 (/ beta alpha)) (+ (* -1 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2))))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))) |
1 |
(+ 1 (* -1 (/ (- (* 2 beta) (* -2 (+ 2 beta))) alpha))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))) alpha)) (* 2 beta)) (* -2 (+ 2 beta))) alpha))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (+ (* -2 (/ (* (+ 2 beta) (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2)))) alpha)) (+ (/ (* (pow (+ 2 beta) 2) (- (* 2 beta) (* -2 (+ 2 beta)))) alpha) (pow beta 2))) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))) alpha)) (* 2 beta)) (* -2 (+ 2 beta))) alpha))) |
(pow alpha 2) |
(+ (* -2 (* alpha beta)) (pow alpha 2)) |
(+ (* beta (+ beta (* -2 alpha))) (pow alpha 2)) |
(+ (* beta (+ beta (* -2 alpha))) (pow alpha 2)) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (* -2 (/ alpha beta)))) |
(* (pow beta 2) (+ 1 (+ (* -2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2))))) |
(* (pow beta 2) (+ 1 (+ (* -2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2))))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (* -2 (/ alpha beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow alpha 2) beta)) (* 2 alpha)) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow alpha 2) beta)) (* 2 alpha)) beta)))) |
(pow beta 2) |
(+ (* -2 (* alpha beta)) (pow beta 2)) |
(+ (* alpha (+ alpha (* -2 beta))) (pow beta 2)) |
(+ (* alpha (+ alpha (* -2 beta))) (pow beta 2)) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (* -2 (/ beta alpha)))) |
(* (pow alpha 2) (+ 1 (+ (* -2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2))))) |
(* (pow alpha 2) (+ 1 (+ (* -2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2))))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (* -2 (/ beta alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow beta 2) alpha)) (* 2 beta)) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow beta 2) alpha)) (* 2 beta)) alpha)))) |
2 |
(+ 2 alpha) |
(+ 2 alpha) |
(+ 2 alpha) |
alpha |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
alpha |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(- (* -2 (/ alpha (+ 2 alpha))) 2) |
(- (+ (* -2 (/ alpha (+ 2 alpha))) (* 2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))) 2) |
(- (+ (* -2 (/ alpha (+ 2 alpha))) (* beta (+ (* 2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) 2) |
(- (+ (* -2 (/ alpha (+ 2 alpha))) (* beta (+ (* 2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) 2) |
(* 2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) |
(/ (+ (* -2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* 2 (- (* -1 alpha) (+ 2 alpha)))) beta) |
(/ (+ (* -2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* 2 (- (* -1 alpha) (+ 2 alpha))) (* 2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) beta) |
(/ (+ (* -2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -2 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (+ (* 2 (- (* -1 alpha) (+ 2 alpha))) (* 2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))) beta) |
(* 2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) |
(* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* 2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) |
(* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) beta)) |
(* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (+ (* -2 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (* 2 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) beta))) beta)) |
(- (* 2 (/ beta (+ 2 beta))) 2) |
(- (+ (* -2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 2 (/ beta (+ 2 beta)))) 2) |
(- (+ (* 2 (/ beta (+ 2 beta))) (* alpha (+ (* -2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))) 2) |
(- (+ (* 2 (/ beta (+ 2 beta))) (* alpha (+ (* -2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))) 2) |
-4 |
(- (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 4) |
(- (+ (* -2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 4) |
(- (+ (* -2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 4) |
-4 |
(- (* -2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 4) |
(- (* -1 (/ (+ (* -2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 2 (- (* -1 beta) (+ 2 beta)))) alpha)) 4) |
(- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 2 (- (* -1 beta) (+ 2 beta)))) alpha)) 4) |
(pow (+ 2 alpha) 2) |
(+ (* beta (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) |
(+ (* beta (+ 4 (+ beta (* 2 alpha)))) (pow (+ 2 alpha) 2)) |
(+ (* beta (+ 4 (+ beta (* 2 alpha)))) (pow (+ 2 alpha) 2)) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) |
(pow beta 2) |
(* (pow beta 2) (+ 1 (* 2 (/ (+ 2 alpha) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 alpha)) (* -1 (/ (pow (+ 2 alpha) 2) beta))) beta)))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 alpha)) (* -1 (/ (pow (+ 2 alpha) 2) beta))) beta)))) |
(pow (+ 2 beta) 2) |
(+ (* alpha (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) |
(+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2)) |
(+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2)) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))))) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))) |
(pow alpha 2) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ 2 beta) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha)))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha)))) |
| Outputs |
|---|
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (*.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 beta (*.f64 #s(literal 1/2 binary64) (fma.f64 beta (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 beta (fma.f64 beta (*.f64 #s(literal 1/2 binary64) (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))) (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (*.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) (*.f64 beta beta)))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) (*.f64 beta (*.f64 beta beta))) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)) (/.f64 (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) (*.f64 beta beta)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)) (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) beta)) beta)) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 #s(literal -1/2 binary64) (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))) |
(+.f64 #s(literal 1/2 binary64) (fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (+.f64 #s(literal 2 binary64) beta)) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) (/.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))) |
(+.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) (*.f64 alpha (fma.f64 alpha (fma.f64 #s(literal 1/2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))) (*.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))))) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) beta (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha) (fma.f64 #s(literal 1/2 binary64) beta (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))) (/.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) alpha)) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha) (fma.f64 #s(literal 1/2 binary64) (+.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))) (*.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha (*.f64 alpha alpha)))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (-.f64 #s(literal 0 binary64) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)) (-.f64 #s(literal 0 binary64) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)))) alpha)) alpha)) (-.f64 #s(literal 0 binary64) alpha)) |
(* -1 (/ alpha (+ 2 alpha))) |
(/.f64 alpha (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(-.f64 (*.f64 beta (fma.f64 beta (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) |
(+ (* -1 (/ alpha (+ 2 alpha))) (* beta (- (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))) |
(fma.f64 beta (fma.f64 beta (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 alpha (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* -1 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(-.f64 (+.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) (*.f64 beta beta)) (/.f64 alpha beta)))) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3)))) (+ (* 2 (/ 1 beta)) (+ (/ alpha beta) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) |
(-.f64 (+.f64 (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (/.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) (*.f64 beta (*.f64 beta beta)))) (/.f64 #s(literal -2 binary64) beta)) (fma.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) (*.f64 beta beta)) (/.f64 alpha beta))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(-.f64 (-.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) beta)) |
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(/ beta (+ 2 beta)) |
(/.f64 beta (+.f64 #s(literal 2 binary64) beta)) |
(+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(-.f64 (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))))) |
(+ (* alpha (- (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
(fma.f64 alpha (-.f64 (/.f64 (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (+.f64 #s(literal 2 binary64) beta)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
(+ (* alpha (- (* alpha (- (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* -1 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta))) |
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#s(literal -1 binary64) |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) |
(- (+ (* -1 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (/ beta alpha)) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(fma.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)) (-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha))) |
(- (+ (/ beta alpha) (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ 1 (+ (* -1 (/ (+ 2 beta) alpha)) (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) |
(-.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (*.f64 alpha alpha))) (/.f64 beta alpha)) (+.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))) |
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#s(literal -1 binary64) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(+.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -1 binary64)) |
(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha))) (+ 2 beta)) alpha)) 1) |
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(- (* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* -1 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha))) (+ 2 beta)) alpha)) 1) |
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(* -1 alpha) |
(-.f64 #s(literal 0 binary64) alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
beta |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))) |
beta |
(* -1 (* beta (- (/ alpha beta) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 beta (+.f64 (/.f64 alpha beta) #s(literal -1 binary64)))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 beta (+.f64 (/.f64 alpha beta) #s(literal -1 binary64)))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 beta (+.f64 (/.f64 alpha beta) #s(literal -1 binary64)))) |
beta |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(* -1 alpha) |
(-.f64 #s(literal 0 binary64) alpha) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 alpha (+.f64 (/.f64 beta alpha) #s(literal -1 binary64))) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 alpha (+.f64 (/.f64 beta alpha) #s(literal -1 binary64))) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 alpha (+.f64 (/.f64 beta alpha) #s(literal -1 binary64))) |
(* -1 alpha) |
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(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(-.f64 #s(literal 0 binary64) (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(-.f64 #s(literal 0 binary64) (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(-.f64 #s(literal 0 binary64) (*.f64 alpha (-.f64 #s(literal 1 binary64) (/.f64 beta alpha)))) |
(+ 2 alpha) |
(+.f64 alpha #s(literal 2 binary64)) |
(+ 2 (+ alpha beta)) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(+ 2 (+ alpha beta)) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(+ 2 (+ alpha beta)) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
beta |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(fma.f64 beta (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) beta) |
beta |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) beta) (+.f64 (/.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) beta) #s(literal -1 binary64))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
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(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
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(+ 2 beta) |
(+.f64 #s(literal 2 binary64) beta) |
(+ 2 (+ alpha beta)) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(+ 2 (+ alpha beta)) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
(+ 2 (+ alpha beta)) |
(+.f64 #s(literal 2 binary64) (+.f64 alpha beta)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 alpha (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 alpha (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(fma.f64 alpha (+.f64 (/.f64 beta alpha) (/.f64 #s(literal 2 binary64) alpha)) alpha) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal -1 binary64))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal -1 binary64))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(*.f64 (-.f64 #s(literal 0 binary64) alpha) (+.f64 (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) #s(literal -1 binary64))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 1/2 (* 1/4 beta)) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(+ 1/2 (* beta (+ 1/4 (* beta (- (* 1/16 beta) 1/8))))) |
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 beta)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) |
(- (+ 1 (/ 2 (pow beta 2))) (/ 1 beta)) |
(+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 2 binary64) (*.f64 beta beta)) (/.f64 #s(literal -1 binary64) beta))) |
(- (+ 1 (/ 2 (pow beta 2))) (+ (/ 1 beta) (* 4 (/ 1 (pow beta 3))))) |
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1 |
#s(literal 1 binary64) |
(- 1 (/ 1 beta)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) beta)) |
(+ 1 (* -1 (/ (- 1 (* 2 (/ 1 beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) beta)) |
(+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) beta)) beta)) beta)) |
(* 1/2 beta) |
(*.f64 #s(literal 1/2 binary64) beta) |
(* beta (+ 1/2 (* -1/4 beta))) |
(*.f64 beta (fma.f64 beta #s(literal -1/4 binary64) #s(literal 1/2 binary64))) |
(* beta (+ 1/2 (* beta (- (* 1/8 beta) 1/4)))) |
(*.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) |
(* beta (+ 1/2 (* beta (- (* beta (+ 1/8 (* -1/16 beta))) 1/4)))) |
(*.f64 beta (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(- 1 (* 2 (/ 1 beta))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) |
(- (+ 1 (/ 4 (pow beta 2))) (* 2 (/ 1 beta))) |
(+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 4 binary64) (*.f64 beta beta))) (/.f64 #s(literal -2 binary64) beta)) |
(- (+ 1 (/ 4 (pow beta 2))) (+ (* 2 (/ 1 beta)) (* 8 (/ 1 (pow beta 3))))) |
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1 |
#s(literal 1 binary64) |
(- 1 (* 2 (/ 1 beta))) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 2 binary64) (/.f64 #s(literal -4 binary64) beta)) beta)) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 beta))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 2 binary64) (/.f64 (+.f64 #s(literal 4 binary64) (/.f64 #s(literal -8 binary64) beta)) beta)) beta)) |
2 |
#s(literal 2 binary64) |
(+ 2 beta) |
(+.f64 #s(literal 2 binary64) beta) |
(+ 2 beta) |
(+.f64 #s(literal 2 binary64) beta) |
(+ 2 beta) |
(+.f64 #s(literal 2 binary64) beta) |
beta |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(fma.f64 beta (/.f64 #s(literal 2 binary64) beta) beta) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(fma.f64 beta (/.f64 #s(literal 2 binary64) beta) beta) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(fma.f64 beta (/.f64 #s(literal 2 binary64) beta) beta) |
beta |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(fma.f64 beta (/.f64 #s(literal 2 binary64) beta) beta) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(fma.f64 beta (/.f64 #s(literal 2 binary64) beta) beta) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(fma.f64 beta (/.f64 #s(literal 2 binary64) beta) beta) |
(* 1/2 (- 1 (/ alpha (+ 2 alpha)))) |
(*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))))) |
(+ (* 1/2 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (* 1/2 (- 1 (/ alpha (+ 2 alpha))))) |
(*.f64 #s(literal 1/2 binary64) (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))))) |
(fma.f64 beta (*.f64 #s(literal 1/2 binary64) (fma.f64 beta (+.f64 (/.f64 (-.f64 #s(literal 0 binary64) alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (*.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))))) |
(+ (* 1/2 (- 1 (/ alpha (+ 2 alpha)))) (* beta (+ (* 1/2 (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))) (* beta (+ (* 1/2 (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1/2 (/ (+ 2 (* 2 alpha)) beta))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2))))) |
(+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta)) (/.f64 (fma.f64 #s(literal -1/2 binary64) (*.f64 alpha #s(literal 2 binary64)) #s(literal -1 binary64)) beta))) |
(+ 1 (+ (* -1/2 (/ (+ 2 (* 2 alpha)) beta)) (+ (* 1/2 (/ (- (* -1 (* alpha (pow (+ 2 alpha) 2))) (pow (+ 2 alpha) 3)) (pow beta 3))) (* 1/2 (/ (- (* alpha (+ 2 alpha)) (* -1 (pow (+ 2 alpha) 2))) (pow beta 2)))))) |
(+.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta) #s(literal 1 binary64)) (*.f64 #s(literal 1/2 binary64) (fma.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) (*.f64 beta (*.f64 beta beta))) (/.f64 (fma.f64 alpha (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta beta))))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)) (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)) (*.f64 (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) beta)) beta)) |
(* 1/2 (+ 1 (/ beta (+ 2 beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (+ 1 (/ beta (+ 2 beta))))) |
(fma.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))))))) |
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(+ (* 1/2 (+ 1 (/ beta (+ 2 beta)))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3)))))))))) |
(fma.f64 alpha (fma.f64 #s(literal -1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha (fma.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (*.f64 (*.f64 #s(literal -1/2 binary64) alpha) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)))))))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 2 binary64) beta) #s(literal 1 binary64)) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha))) alpha) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)))) alpha) |
(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2))))) alpha) |
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(/ (+ (* 1/2 (+ 2 (* 2 beta))) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 2)) (* beta (+ 2 beta))) alpha)) (+ (* 1/2 (/ (- (* -1 (pow (+ 2 beta) 4)) (* beta (pow (+ 2 beta) 3))) (pow alpha 3))) (* 1/2 (/ (- (pow (+ 2 beta) 3) (* -1 (* beta (pow (+ 2 beta) 2)))) (pow alpha 2)))))) alpha) |
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(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) |
(* -1 (/ (+ (* 1/2 (- (* -1 beta) (+ 2 beta))) (* 1/2 (/ (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)) alpha))) alpha)) |
(/.f64 (*.f64 #s(literal 1/2 binary64) (+.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) alpha))) (-.f64 #s(literal 0 binary64) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3)) alpha))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
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(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) (* 1/2 (/ (+ (* beta (pow (+ 2 beta) 3)) (pow (+ 2 beta) 4)) alpha))) alpha)) (* -1/2 (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2)))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta)))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))) alpha) (*.f64 #s(literal -1/2 binary64) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) alpha)) alpha)) (-.f64 #s(literal 0 binary64) alpha)) |
(- 1 (/ alpha (+ 2 alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) |
(- (+ 1 (* beta (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2))))) (/ alpha (+ 2 alpha))) |
(-.f64 (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) #s(literal 1 binary64)) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64)))) |
(- (+ 1 (* beta (+ (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
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(- (+ 1 (* beta (+ (* beta (- (+ (* -1 (/ alpha (pow (+ 2 alpha) 3))) (* beta (+ (/ 1 (pow (+ 2 alpha) 3)) (/ alpha (pow (+ 2 alpha) 4))))) (/ 1 (pow (+ 2 alpha) 2)))) (+ (/ 1 (+ 2 alpha)) (/ alpha (pow (+ 2 alpha) 2)))))) (/ alpha (+ 2 alpha))) |
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2 |
#s(literal 2 binary64) |
(+ 2 (* -1 (/ (+ 2 (* 2 alpha)) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 2 binary64)) beta)) |
(- (+ 2 (/ (* alpha (+ 2 alpha)) (pow beta 2))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (* 2 (/ 1 beta))))) |
(-.f64 (fma.f64 alpha (/.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 beta beta)) #s(literal 2 binary64)) (-.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta)))) |
(- (+ 2 (+ (* -1 (/ (* alpha (pow (+ 2 alpha) 2)) (pow beta 3))) (/ (* alpha (+ 2 alpha)) (pow beta 2)))) (+ (* -1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ alpha beta)) (+ (* 2 (/ 1 beta)) (/ (pow (+ 2 alpha) 3) (pow beta 3)))))) |
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2 |
#s(literal 2 binary64) |
(- (+ 2 (* -1 (/ alpha beta))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) |
(-.f64 (-.f64 #s(literal 2 binary64) (/.f64 alpha beta)) (+.f64 (/.f64 alpha beta) (/.f64 #s(literal 2 binary64) beta))) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) |
(-.f64 #s(literal 2 binary64) (/.f64 (-.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) beta)) |
(+ 2 (* -1 (/ (+ (* -1 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -1 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta)) beta))) beta))) |
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(+ 1 (/ beta (+ 2 beta))) |
(+.f64 #s(literal 1 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta))) |
(+ 1 (+ (* -1 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
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(+ 1 (+ (* alpha (- (* alpha (- (/ 1 (pow (+ 2 beta) 2)) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
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(+ 1 (+ (* alpha (- (* alpha (- (+ (* -1 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (/ 1 (pow (+ 2 beta) 2))) (* -1 (/ beta (pow (+ 2 beta) 3))))) (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (/ beta (+ 2 beta)))) |
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(/ (+ 2 (* 2 beta)) alpha) |
(/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 2 binary64)) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (* 2 beta))) (/ (* beta (+ 2 beta)) alpha)) alpha) |
(/.f64 (+.f64 #s(literal 2 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) beta (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) alpha)) (/.f64 (*.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (/ (* beta (+ 2 beta)) alpha))) alpha) |
(/.f64 (-.f64 (+.f64 #s(literal 2 binary64) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) alpha) (fma.f64 #s(literal 2 binary64) beta (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha))))) (fma.f64 beta (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (*.f64 alpha alpha)) (/.f64 (*.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha))) alpha) |
(/ (- (+ 2 (+ (* -1 (/ (pow (+ 2 beta) 2) alpha)) (+ (* -1 (/ (pow (+ 2 beta) 4) (pow alpha 3))) (+ (* 2 beta) (/ (pow (+ 2 beta) 3) (pow alpha 2)))))) (+ (* -1 (/ (* beta (pow (+ 2 beta) 2)) (pow alpha 2))) (+ (/ (* beta (+ 2 beta)) alpha) (/ (* beta (pow (+ 2 beta) 3)) (pow alpha 3))))) alpha) |
(/.f64 (+.f64 #s(literal 2 binary64) (-.f64 (+.f64 (-.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) alpha) (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) (*.f64 alpha (*.f64 alpha alpha)))) (fma.f64 #s(literal 2 binary64) beta (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)))) (fma.f64 beta (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) (*.f64 alpha alpha)) (fma.f64 beta (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (*.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (*.f64 alpha (*.f64 alpha alpha))))))) alpha) |
(* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) (-.f64 #s(literal 0 binary64) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (+ (/ (* beta (+ 2 beta)) alpha) (/ (pow (+ 2 beta) 2) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (+.f64 (-.f64 (fma.f64 beta (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha)) beta) (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal 0 binary64) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 2)) alpha) (/ (pow (+ 2 beta) 3) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 (+.f64 (fma.f64 beta (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) alpha) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)) (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal 0 binary64) alpha)) |
(* -1 (/ (- (+ (* -1 beta) (* -1 (/ (- (* -1 (/ (- (+ (/ (* beta (pow (+ 2 beta) 3)) alpha) (/ (pow (+ 2 beta) 4) alpha)) (+ (* beta (pow (+ 2 beta) 2)) (pow (+ 2 beta) 3))) alpha)) (+ (* beta (+ 2 beta)) (pow (+ 2 beta) 2))) alpha))) (+ 2 beta)) alpha)) |
(/.f64 (+.f64 (-.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 (+.f64 (/.f64 (fma.f64 beta (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) alpha) (-.f64 (/.f64 (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64)) alpha) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))))) (-.f64 #s(literal 0 binary64) alpha)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)) (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal 0 binary64) alpha)) |
(/ 1 (+ 2 alpha)) |
(/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) |
(+ (* -1 (/ beta (pow (+ 2 alpha) 2))) (/ 1 (+ 2 alpha))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) |
(+ (* beta (- (/ beta (pow (+ 2 alpha) 3)) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) |
(fma.f64 beta (+.f64 (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))) |
(+ (* beta (- (* beta (+ (* -1 (/ beta (pow (+ 2 alpha) 4))) (/ 1 (pow (+ 2 alpha) 3)))) (/ 1 (pow (+ 2 alpha) 2)))) (/ 1 (+ 2 alpha))) |
(fma.f64 beta (fma.f64 beta (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 beta (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))) |
(/ 1 beta) |
(/.f64 #s(literal 1 binary64) beta) |
(/ (+ 1 (* -1 (/ (+ 2 alpha) beta))) beta) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta)) beta) |
(/ (- (+ 1 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (+ (* 2 (/ 1 beta)) (/ alpha beta))) beta) |
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(/ 1 (+ 2 beta)) |
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(/ (- (+ (* -2 alpha) (/ (pow alpha 2) beta)) (+ 4 (+ (* 2 alpha) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) beta) (/ (pow (+ 2 alpha) 2) beta))))) beta) |
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(/ (- (+ (* -2 alpha) (+ (* -1 (/ (+ (* -1 (* (+ 4 (* 2 alpha)) (+ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha))))))) (* (pow (+ 2 alpha) 2) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2))))) (pow beta 3))) (/ (pow alpha 2) beta))) (+ 4 (+ (* 2 alpha) (+ (/ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) beta) (+ (/ (* (+ 4 (* 2 alpha)) (- (pow alpha 2) (+ (* (+ 4 (* 2 alpha)) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow (+ 2 alpha) 2)))) (pow beta 2)) (+ (/ (* (pow (+ 2 alpha) 2) (- (* -2 alpha) (+ 4 (* 2 alpha)))) (pow beta 2)) (/ (pow (+ 2 alpha) 2) beta))))))) beta) |
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(/ (pow beta 2) (pow (+ 2 beta) 2)) |
(/.f64 (*.f64 beta beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) |
(+ (* alpha (- (* -2 (/ beta (pow (+ 2 beta) 2))) (/ (* (pow beta 2) (+ 4 (* 2 beta))) (pow (+ 2 beta) 4)))) (/ (pow beta 2) (pow (+ 2 beta) 2))) |
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1 |
#s(literal 1 binary64) |
(- (+ 1 (* -2 (/ beta alpha))) (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha)))) |
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(- (+ 1 (+ (* -2 (/ beta alpha)) (+ (* -1 (/ (+ (* (+ 4 (* 2 beta)) (- (pow beta 2) (+ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow (+ 2 beta) 2)))) (* (pow (+ 2 beta) 2) (- (* -2 beta) (+ 4 (* 2 beta))))) (pow alpha 3))) (/ (pow beta 2) (pow alpha 2))))) (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (+ (/ (* (+ 4 (* 2 beta)) (- (* -2 beta) (+ 4 (* 2 beta)))) (pow alpha 2)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))) |
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1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- (* 2 beta) (* -2 (+ 2 beta))) alpha))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) beta (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64))) alpha)) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ (- (pow beta 2) (+ (* -2 (* (+ 2 beta) (- (* 2 beta) (* -2 (+ 2 beta))))) (pow (+ 2 beta) 2))) alpha)) (* 2 beta)) (* -2 (+ 2 beta))) alpha))) |
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(pow alpha 2) |
(*.f64 alpha alpha) |
(+ (* -2 (* alpha beta)) (pow alpha 2)) |
(fma.f64 (*.f64 alpha #s(literal -2 binary64)) beta (*.f64 alpha alpha)) |
(+ (* beta (+ beta (* -2 alpha))) (pow alpha 2)) |
(fma.f64 beta (fma.f64 alpha #s(literal -2 binary64) beta) (*.f64 alpha alpha)) |
(+ (* beta (+ beta (* -2 alpha))) (pow alpha 2)) |
(fma.f64 beta (fma.f64 alpha #s(literal -2 binary64) beta) (*.f64 alpha alpha)) |
(pow beta 2) |
(*.f64 beta beta) |
(* (pow beta 2) (+ 1 (* -2 (/ alpha beta)))) |
(*.f64 (*.f64 beta beta) (fma.f64 (/.f64 alpha beta) #s(literal -2 binary64) #s(literal 1 binary64))) |
(* (pow beta 2) (+ 1 (+ (* -2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2))))) |
(*.f64 (*.f64 beta beta) (+.f64 (fma.f64 (/.f64 alpha beta) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)))) |
(* (pow beta 2) (+ 1 (+ (* -2 (/ alpha beta)) (/ (pow alpha 2) (pow beta 2))))) |
(*.f64 (*.f64 beta beta) (+.f64 (fma.f64 (/.f64 alpha beta) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 alpha alpha) (*.f64 beta beta)))) |
(pow beta 2) |
(*.f64 beta beta) |
(* (pow beta 2) (+ 1 (* -2 (/ alpha beta)))) |
(*.f64 (*.f64 beta beta) (fma.f64 (/.f64 alpha beta) #s(literal -2 binary64) #s(literal 1 binary64))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow alpha 2) beta)) (* 2 alpha)) beta)))) |
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 alpha #s(literal 2 binary64)) (/.f64 (*.f64 alpha alpha) beta)) beta))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow alpha 2) beta)) (* 2 alpha)) beta)))) |
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 alpha #s(literal 2 binary64)) (/.f64 (*.f64 alpha alpha) beta)) beta))) |
(pow beta 2) |
(*.f64 beta beta) |
(+ (* -2 (* alpha beta)) (pow beta 2)) |
(*.f64 beta (fma.f64 alpha #s(literal -2 binary64) beta)) |
(+ (* alpha (+ alpha (* -2 beta))) (pow beta 2)) |
(fma.f64 alpha (fma.f64 beta #s(literal -2 binary64) alpha) (*.f64 beta beta)) |
(+ (* alpha (+ alpha (* -2 beta))) (pow beta 2)) |
(fma.f64 alpha (fma.f64 beta #s(literal -2 binary64) alpha) (*.f64 beta beta)) |
(pow alpha 2) |
(*.f64 alpha alpha) |
(* (pow alpha 2) (+ 1 (* -2 (/ beta alpha)))) |
(*.f64 (*.f64 alpha alpha) (fma.f64 (/.f64 beta alpha) #s(literal -2 binary64) #s(literal 1 binary64))) |
(* (pow alpha 2) (+ 1 (+ (* -2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2))))) |
(*.f64 (*.f64 alpha alpha) (+.f64 (fma.f64 (/.f64 beta alpha) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) |
(* (pow alpha 2) (+ 1 (+ (* -2 (/ beta alpha)) (/ (pow beta 2) (pow alpha 2))))) |
(*.f64 (*.f64 alpha alpha) (+.f64 (fma.f64 (/.f64 beta alpha) #s(literal -2 binary64) #s(literal 1 binary64)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) |
(pow alpha 2) |
(*.f64 alpha alpha) |
(* (pow alpha 2) (+ 1 (* -2 (/ beta alpha)))) |
(*.f64 (*.f64 alpha alpha) (fma.f64 (/.f64 beta alpha) #s(literal -2 binary64) #s(literal 1 binary64))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow beta 2) alpha)) (* 2 beta)) alpha)))) |
(*.f64 (*.f64 alpha alpha) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (/.f64 (*.f64 beta beta) alpha)) alpha))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -1 (/ (pow beta 2) alpha)) (* 2 beta)) alpha)))) |
(*.f64 (*.f64 alpha alpha) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) beta) (/.f64 (*.f64 beta beta) alpha)) alpha))) |
2 |
#s(literal 2 binary64) |
(+ 2 alpha) |
(+.f64 alpha #s(literal 2 binary64)) |
(+ 2 alpha) |
(+.f64 alpha #s(literal 2 binary64)) |
(+ 2 alpha) |
(+.f64 alpha #s(literal 2 binary64)) |
alpha |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha) |
alpha |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(fma.f64 alpha (/.f64 #s(literal 2 binary64) alpha) alpha) |
(- (* -2 (/ alpha (+ 2 alpha))) 2) |
(fma.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal -2 binary64)) |
(- (+ (* -2 (/ alpha (+ 2 alpha))) (* 2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))) 2) |
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(- (+ (* -2 (/ alpha (+ 2 alpha))) (* beta (+ (* 2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) 2) |
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(- (+ (* -2 (/ alpha (+ 2 alpha))) (* beta (+ (* 2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))) 2) |
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(* 2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) beta) |
(/ (+ (* -2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (* 2 (- (* -1 alpha) (+ 2 alpha)))) beta) |
(/.f64 (fma.f64 #s(literal 2 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -4 binary64)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) beta)) beta) |
(/ (+ (* -2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* 2 (- (* -1 alpha) (+ 2 alpha))) (* 2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))))) beta) |
(/.f64 (fma.f64 #s(literal 2 binary64) (+.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) (/.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) (*.f64 beta beta))) (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -4 binary64)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) beta)) beta) |
(/ (+ (* -2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta)) (+ (* -2 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (+ (* 2 (- (* -1 alpha) (+ 2 alpha))) (* 2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2)))))) beta) |
(/.f64 (+.f64 (/.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -4 binary64)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) beta) (fma.f64 #s(literal 2 binary64) (+.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) (/.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) (*.f64 beta beta))) (/.f64 (*.f64 #s(literal -2 binary64) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) (*.f64 beta (*.f64 beta beta))))) beta) |
(* 2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)) |
(/.f64 (*.f64 #s(literal 2 binary64) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) beta) |
(* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* 2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) |
(/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)) (fma.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) alpha) (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)))) (-.f64 #s(literal 0 binary64) beta)) |
(* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) beta)) |
(/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) alpha) (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)) (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -4 binary64)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha))) beta)) (-.f64 #s(literal 0 binary64) beta)) |
(* -1 (/ (+ (* -2 (- (* -1 alpha) (+ 2 alpha))) (* -1 (/ (+ (* -2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* -1 (/ (+ (* -2 (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha)))) (* 2 (/ (* (pow (+ 2 alpha) 3) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) beta))) beta)) |
(/.f64 (-.f64 (fma.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) alpha) (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64))) (/.f64 (-.f64 (*.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -4 binary64)) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) (/.f64 (fma.f64 #s(literal 2 binary64) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha) beta)) (*.f64 (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (-.f64 (+.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -2 binary64)) alpha)) #s(literal -2 binary64))) beta)) beta)) (-.f64 #s(literal 0 binary64) beta)) |
(- (* 2 (/ beta (+ 2 beta))) 2) |
(fma.f64 #s(literal 2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal -2 binary64)) |
(- (+ (* -2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 2 (/ beta (+ 2 beta)))) 2) |
(fma.f64 (*.f64 alpha #s(literal -2 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal -2 binary64))) |
(- (+ (* 2 (/ beta (+ 2 beta))) (* alpha (+ (* -2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))) 2) |
(fma.f64 #s(literal 2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (fma.f64 alpha (fma.f64 #s(literal 2 binary64) (/.f64 (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) #s(literal -2 binary64))) #s(literal -2 binary64))) |
(- (+ (* 2 (/ beta (+ 2 beta))) (* alpha (+ (* -2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))) 2) |
(fma.f64 #s(literal 2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) (fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (+.f64 #s(literal 2 binary64) beta)) (*.f64 (*.f64 alpha (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) (/.f64 beta (pow.f64 (+.f64 #s(literal 2 binary64) beta) #s(literal 4 binary64))))) #s(literal -2 binary64))) (*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 2 binary64) beta)) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)))) #s(literal -2 binary64))) #s(literal -2 binary64))) |
-4 |
#s(literal -4 binary64) |
(- (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha)) 4) |
(fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal -4 binary64)) |
(- (+ (* -2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha))) 4) |
(fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)) #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha) #s(literal -4 binary64))) |
(- (+ (* -2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))) (+ (* 2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (* 2 (/ (- beta (* -1 (+ 2 beta))) alpha)))) 4) |
(fma.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 beta (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)) #s(literal -2 binary64) (fma.f64 #s(literal 2 binary64) (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha (*.f64 alpha alpha))) (/.f64 (+.f64 beta (+.f64 #s(literal 2 binary64) beta)) alpha)) #s(literal -4 binary64))) |
-4 |
#s(literal -4 binary64) |
(- (* -2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 4) |
(fma.f64 (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha) #s(literal -2 binary64) #s(literal -4 binary64)) |
(- (* -1 (/ (+ (* -2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 2 (- (* -1 beta) (+ 2 beta)))) alpha)) 4) |
(+.f64 (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (-.f64 (-.f64 #s(literal -2 binary64) beta) beta) alpha)) #s(literal -2 binary64) (*.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -4 binary64)) |
(- (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 2 (- (* -1 beta) (+ 2 beta)))) alpha)) 4) |
(+.f64 (/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) (/.f64 (fma.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta)) alpha) #s(literal -2 binary64) (*.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (-.f64 (-.f64 #s(literal -2 binary64) beta) beta))) alpha)) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -4 binary64)) |
(pow (+ 2 alpha) 2) |
(*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) |
(+ (* beta (+ 4 (* 2 alpha))) (pow (+ 2 alpha) 2)) |
(fma.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)) (*.f64 beta (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)))) |
(+ (* beta (+ 4 (+ beta (* 2 alpha)))) (pow (+ 2 alpha) 2)) |
(fma.f64 beta (+.f64 #s(literal 4 binary64) (fma.f64 alpha #s(literal 2 binary64) beta)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) |
(+ (* beta (+ 4 (+ beta (* 2 alpha)))) (pow (+ 2 alpha) 2)) |
(fma.f64 beta (+.f64 #s(literal 4 binary64) (fma.f64 alpha #s(literal 2 binary64) beta)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) |
(pow beta 2) |
(*.f64 beta beta) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (* 4 (/ 1 beta))))) |
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (/.f64 #s(literal 4 binary64) beta)))) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) |
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (/.f64 #s(literal 4 binary64) beta)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta))))) |
(* (pow beta 2) (+ 1 (+ (* 2 (/ alpha beta)) (+ (* 4 (/ 1 beta)) (/ (pow (+ 2 alpha) 2) (pow beta 2)))))) |
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 alpha beta) (/.f64 #s(literal 4 binary64) beta)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) (*.f64 beta beta))))) |
(pow beta 2) |
(*.f64 beta beta) |
(* (pow beta 2) (+ 1 (* 2 (/ (+ 2 alpha) beta)))) |
(*.f64 (*.f64 beta beta) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 alpha #s(literal 2 binary64) #s(literal 4 binary64)) beta))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 alpha)) (* -1 (/ (pow (+ 2 alpha) 2) beta))) beta)))) |
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -4 binary64)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) beta)) beta))) |
(* (pow beta 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 alpha)) (* -1 (/ (pow (+ 2 alpha) 2) beta))) beta)))) |
(*.f64 (*.f64 beta beta) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -4 binary64)) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))) beta)) beta))) |
(pow (+ 2 beta) 2) |
(*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) |
(+ (* alpha (+ 4 (* 2 beta))) (pow (+ 2 beta) 2)) |
(fma.f64 alpha (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) |
(+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2)) |
(fma.f64 alpha (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) |
(+ (* alpha (+ 4 (+ alpha (* 2 beta)))) (pow (+ 2 beta) 2)) |
(fma.f64 alpha (+.f64 #s(literal 4 binary64) (fma.f64 #s(literal 2 binary64) beta alpha)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) |
(pow alpha 2) |
(*.f64 alpha alpha) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (* 4 (/ 1 alpha))))) |
(*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) (/.f64 #s(literal 4 binary64) alpha)))) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))) |
(*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) (/.f64 #s(literal 4 binary64) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha))))) |
(* (pow alpha 2) (+ 1 (+ (* 2 (/ beta alpha)) (+ (* 4 (/ 1 alpha)) (/ (pow (+ 2 beta) 2) (pow alpha 2)))))) |
(*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (+.f64 (fma.f64 #s(literal 2 binary64) (/.f64 beta alpha) (/.f64 #s(literal 4 binary64) alpha)) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta)) (*.f64 alpha alpha))))) |
(pow alpha 2) |
(*.f64 alpha alpha) |
(* (pow alpha 2) (+ 1 (* 2 (/ (+ 2 beta) alpha)))) |
(*.f64 (*.f64 alpha alpha) (+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 2 binary64) beta #s(literal 4 binary64)) alpha))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha)))) |
(*.f64 (*.f64 alpha alpha) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) alpha) (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64))) alpha))) |
(* (pow alpha 2) (+ 1 (* -1 (/ (+ (* -2 (+ 2 beta)) (* -1 (/ (pow (+ 2 beta) 2) alpha))) alpha)))) |
(*.f64 (*.f64 alpha alpha) (-.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (-.f64 #s(literal -2 binary64) beta)) alpha) (fma.f64 beta #s(literal -2 binary64) #s(literal -4 binary64))) alpha))) |
Compiled 76 259 to 5 452 computations (92.9% saved)
17 alts after pruning (15 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 841 | 11 | 1 852 |
| Fresh | 1 | 4 | 5 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 845 | 17 | 1 862 |
| Status | Accuracy | Program |
|---|---|---|
| 70.6% | (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 4.2% | (fma.f64 (-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| ▶ | 72.8% | (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) |
| 44.9% | (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) | |
| ▶ | 43.9% | (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
| 44.9% | (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) | |
| ✓ | 71.7% | (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
| ▶ | 48.6% | (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
| 3.6% | (fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) | |
| 42.4% | (/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (*.f64 (-.f64 beta alpha) (+.f64 beta alpha))) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (-.f64 alpha beta) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)) | |
| ▶ | 29.8% | (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) |
| 44.3% | (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)))) | |
| 47.8% | (/.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (fma.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal -2 binary64))) | |
| 31.0% | (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) | |
| 44.6% | (*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)))) | |
| ✓ | 37.2% | #s(literal 1 binary64) |
| ▶ | 48.3% | #s(literal 1/2 binary64) |
Compiled 627 to 324 computations (48.3% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) beta) |
| ✓ | cost-diff | 0 | (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) |
| ✓ | cost-diff | 128 | (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) |
| ✓ | cost-diff | 384 | (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) |
| ✓ | cost-diff | 0 | (+.f64 alpha #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) |
| ✓ | cost-diff | 0 | (-.f64 beta alpha) |
| ✓ | cost-diff | 0 | (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) |
| 17 802× | accelerator-lowering-fma.f32 |
| 17 802× | accelerator-lowering-fma.f64 |
| 4 766× | *-lowering-*.f32 |
| 4 766× | *-lowering-*.f64 |
| 1 736× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 146 |
| 1 | 73 | 146 |
| 2 | 158 | 142 |
| 3 | 366 | 142 |
| 4 | 1021 | 136 |
| 5 | 2640 | 134 |
| 6 | 3735 | 134 |
| 7 | 6617 | 134 |
| 0 | 8122 | 125 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (- beta alpha) (/ 1/2 (+ 2 (+ beta alpha)))) 1/2) |
(- beta alpha) |
beta |
alpha |
(/ 1/2 (+ 2 (+ beta alpha))) |
1/2 |
(+ 2 (+ beta alpha)) |
2 |
(+ beta alpha) |
1/2 |
(+ (* beta (+ (* beta -1/8) 1/4)) 1/2) |
beta |
(+ (* beta -1/8) 1/4) |
-1/8 |
1/4 |
1/2 |
(+ (* -1/2 (/ alpha (+ alpha 2))) 1/2) |
-1/2 |
(/ alpha (+ alpha 2)) |
alpha |
(+ alpha 2) |
2 |
1/2 |
(/ (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta)) alpha) |
(+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta)) |
1/2 |
(* (+ 2 beta) (/ (+ (* beta -2) -2) alpha)) |
(+ 2 beta) |
2 |
beta |
(/ (+ (* beta -2) -2) alpha) |
(+ (* beta -2) -2) |
-2 |
alpha |
(+ 1 beta) |
1 |
| Outputs |
|---|
(+ (* (- beta alpha) (/ 1/2 (+ 2 (+ beta alpha)))) 1/2) |
(fma.f64 (-.f64 alpha beta) (/.f64 #s(literal 1/2 binary64) (-.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1/2 binary64)) |
(- beta alpha) |
(-.f64 beta alpha) |
beta |
alpha |
(/ 1/2 (+ 2 (+ beta alpha))) |
(/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) |
1/2 |
#s(literal 1/2 binary64) |
(+ 2 (+ beta alpha)) |
(+.f64 beta (+.f64 alpha #s(literal 2 binary64))) |
2 |
#s(literal 2 binary64) |
(+ beta alpha) |
(+.f64 beta alpha) |
1/2 |
#s(literal 1/2 binary64) |
(+ (* beta (+ (* beta -1/8) 1/4)) 1/2) |
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
beta |
(+ (* beta -1/8) 1/4) |
(fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) |
-1/8 |
#s(literal -1/8 binary64) |
1/4 |
#s(literal 1/4 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(+ (* -1/2 (/ alpha (+ alpha 2))) 1/2) |
(fma.f64 alpha (/.f64 #s(literal -1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
-1/2 |
#s(literal -1/2 binary64) |
(/ alpha (+ alpha 2)) |
(/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) |
alpha |
(+ alpha 2) |
(+.f64 alpha #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(/ (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta)) alpha) |
(/.f64 (fma.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 0 binary64)) alpha) |
(+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta)) |
(fma.f64 (+.f64 beta #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 0 binary64)) |
1/2 |
#s(literal 1/2 binary64) |
(* (+ 2 beta) (/ (+ (* beta -2) -2) alpha)) |
(/.f64 (fma.f64 beta (fma.f64 beta #s(literal -2 binary64) #s(literal -6 binary64)) #s(literal -4 binary64)) alpha) |
(+ 2 beta) |
(+.f64 beta #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
beta |
(/ (+ (* beta -2) -2) alpha) |
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) |
(+ (* beta -2) -2) |
(fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) |
-2 |
#s(literal -2 binary64) |
alpha |
(+ 1 beta) |
(+.f64 beta #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) |
| ✓ | accuracy | 100.0% | (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) |
| ✓ | accuracy | 99.9% | (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) |
| ✓ | accuracy | 98.4% | (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) |
| ✓ | accuracy | 100.0% | (+.f64 alpha #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) |
| ✓ | accuracy | 68.7% | (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 beta alpha) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) |
| ✓ | accuracy | 72.8% | (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) |
| 37.0ms | 172× | 0 | valid |
| 19.0ms | 55× | 1 | valid |
| 15.0ms | 28× | 2 | valid |
| 1.0ms | 1× | 3 | valid |
Compiled 136 to 34 computations (75% saved)
ival-add: 21.0ms (41.9% of total)ival-mult: 12.0ms (23.9% of total)ival-div: 9.0ms (18% of total)adjust: 4.0ms (8% of total)ival-sub: 2.0ms (4% of total)exact: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (- beta alpha) (/ 1/2 (+ 2 (+ beta alpha)))) 1/2)> |
#<alt (- beta alpha)> |
#<alt (/ 1/2 (+ 2 (+ beta alpha)))> |
#<alt (+ 2 (+ beta alpha))> |
#<alt (+ (* beta (+ (* beta -1/8) 1/4)) 1/2)> |
#<alt (+ (* beta -1/8) 1/4)> |
#<alt (+ (* -1/2 (/ alpha (+ alpha 2))) 1/2)> |
#<alt (/ alpha (+ alpha 2))> |
#<alt (+ alpha 2)> |
#<alt (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta))> |
#<alt (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))> |
#<alt (/ (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta)) alpha)> |
#<alt (+ 2 beta)> |
#<alt (+ beta alpha)> |
#<alt (/ (+ (* beta -2) -2) alpha)> |
| Outputs |
|---|
#<alt (+ 1/2 (* -1/2 (/ alpha (+ 2 alpha))))> |
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))> |
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))))> |
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))> |
#<alt (+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta)))> |
#<alt (+ 1/2 (* 1/2 (/ beta (+ 2 beta))))> |
#<alt (+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta)))))> |
#<alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta)))))))> |
#<alt (+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta)))))))))> |
#<alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))> |
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha)> |
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha)> |
#<alt (/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha)> |
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha))> |
#<alt (* -1 alpha)> |
#<alt (- beta alpha)> |
#<alt (- beta alpha)> |
#<alt (- beta alpha)> |
#<alt beta> |
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))> |
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))> |
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))> |
#<alt beta> |
#<alt (* -1 (* beta (- (/ alpha beta) 1)))> |
#<alt (* -1 (* beta (- (/ alpha beta) 1)))> |
#<alt (* -1 (* beta (- (/ alpha beta) 1)))> |
#<alt beta> |
#<alt (+ beta (* -1 alpha))> |
#<alt (+ beta (* -1 alpha))> |
#<alt (+ beta (* -1 alpha))> |
#<alt (* -1 alpha)> |
#<alt (* alpha (- (/ beta alpha) 1))> |
#<alt (* alpha (- (/ beta alpha) 1))> |
#<alt (* alpha (- (/ beta alpha) 1))> |
#<alt (* -1 alpha)> |
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))> |
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))> |
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))> |
#<alt (/ 1/2 (+ 2 alpha))> |
#<alt (+ (* -1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha))))> |
#<alt (+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))> |
#<alt (+ (* beta (- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha))))> |
#<alt (/ 1/2 beta)> |
#<alt (/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta)> |
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 alpha) beta))) beta)> |
#<alt (/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (* 1/2 (/ (+ 2 alpha) beta)))) beta)> |
#<alt (/ 1/2 beta)> |
#<alt (* -1 (/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 2) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) beta)) (* 1/2 (pow (+ 2 alpha) 2))) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta))> |
#<alt (/ 1/2 (+ 2 beta))> |
#<alt (+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta))))> |
#<alt (+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))> |
#<alt (+ (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta))))> |
#<alt (/ 1/2 alpha)> |
#<alt (/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha)> |
#<alt (/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (* 1/2 (/ (+ 2 beta) alpha))) alpha)> |
#<alt (/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (* 1/2 (/ (+ 2 beta) alpha)))) alpha)> |
#<alt (/ 1/2 alpha)> |
#<alt (* -1 (/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha))> |
#<alt (+ 2 alpha)> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt beta> |
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))> |
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))> |
#<alt (* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta))))> |
#<alt beta> |
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))> |
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))> |
#<alt (* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1)))> |
#<alt (+ 2 beta)> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt (+ 2 (+ alpha beta))> |
#<alt alpha> |
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))> |
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))> |
#<alt (* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha))))> |
#<alt alpha> |
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))> |
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))> |
#<alt (* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1)))> |
#<alt 1/2> |
#<alt (+ 1/2 (* 1/4 beta))> |
#<alt (+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))> |
#<alt (+ 1/2 (* beta (+ 1/4 (* -1/8 beta))))> |
#<alt (* -1/8 (pow beta 2))> |
#<alt (* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8))> |
#<alt (* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8))> |
#<alt (* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8))> |
#<alt (* -1/8 (pow beta 2))> |
#<alt (* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8))> |
#<alt (* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8))> |
#<alt (* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8))> |
#<alt 1/4> |
#<alt (+ 1/4 (* -1/8 beta))> |
#<alt (+ 1/4 (* -1/8 beta))> |
#<alt (+ 1/4 (* -1/8 beta))> |
#<alt (* -1/8 beta)> |
#<alt (* beta (- (* 1/4 (/ 1 beta)) 1/8))> |
#<alt (* beta (- (* 1/4 (/ 1 beta)) 1/8))> |
#<alt (* beta (- (* 1/4 (/ 1 beta)) 1/8))> |
#<alt (* -1/8 beta)> |
#<alt (* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta)))))> |
#<alt (* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta)))))> |
#<alt (* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta)))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/4 alpha))> |
#<alt (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))> |
#<alt (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))> |
#<alt (/ 1 alpha)> |
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)> |
#<alt (/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha)> |
#<alt (/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha)> |
#<alt (/ 1 alpha)> |
#<alt (* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha))> |
#<alt (* 1/2 alpha)> |
#<alt (* alpha (+ 1/2 (* -1/4 alpha)))> |
#<alt (* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))))> |
#<alt (* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))))> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 alpha)))> |
#<alt (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha)))> |
#<alt (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3)))))> |
#<alt 1> |
#<alt (- 1 (* 2 (/ 1 alpha)))> |
#<alt (+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha)))> |
#<alt (+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha)))> |
#<alt 2> |
#<alt (+ 2 alpha)> |
#<alt (+ 2 alpha)> |
#<alt (+ 2 alpha)> |
#<alt alpha> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt alpha> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt (* alpha (+ 1 (* 2 (/ 1 alpha))))> |
#<alt (- 1 (* 2 (/ 1 alpha)))> |
#<alt (- (+ 1 (* beta (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))> |
#<alt (- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))> |
#<alt (- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha)))> |
#<alt (* -1 (/ (pow beta 2) alpha))> |
#<alt (* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta)))))> |
#<alt (* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))> |
#<alt (* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta))))))> |
#<alt (* -1 (/ (pow beta 2) alpha))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha)))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha)))> |
#<alt (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))> |
#<alt (/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) alpha)> |
#<alt (/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) alpha)> |
#<alt (/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) alpha)> |
#<alt (+ 1 beta)> |
#<alt (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))> |
#<alt (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))> |
#<alt (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))> |
#<alt (+ 1 beta)> |
#<alt (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))> |
#<alt (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))> |
#<alt (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))))> |
#<alt (/ -4 alpha)> |
#<alt (- (* -6 (/ beta alpha)) (* 4 (/ 1 alpha)))> |
#<alt (- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))> |
#<alt (- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha)))> |
#<alt (* -2 (/ (pow beta 2) alpha))> |
#<alt (* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))> |
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))> |
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))> |
#<alt (* -2 (/ (pow beta 2) alpha))> |
#<alt (* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta))))))> |
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))> |
#<alt (* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha))))> |
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)> |
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)> |
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)> |
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)> |
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)> |
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)> |
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)> |
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)> |
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)> |
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)> |
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)> |
#<alt (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)> |
#<alt (/ (- 1 (* 2 (/ 1 alpha))) alpha)> |
#<alt (- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))> |
#<alt (- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))> |
#<alt (- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2)))> |
#<alt (* -1 (/ (pow beta 2) (pow alpha 2)))> |
#<alt (* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))> |
#<alt (* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))> |
#<alt (* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))))> |
#<alt (* -1 (/ (pow beta 2) (pow alpha 2)))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))> |
#<alt (* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2))))> |
#<alt (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (pow alpha 2)))> |
#<alt (/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2))> |
#<alt (/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2))> |
#<alt (/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2))> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)> |
#<alt (/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)> |
#<alt (/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha)> |
#<alt (/ (+ 1 beta) alpha)> |
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))> |
#<alt (* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha))> |
#<alt 2> |
#<alt (+ 2 beta)> |
#<alt (+ 2 beta)> |
#<alt (+ 2 beta)> |
#<alt beta> |
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))> |
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))> |
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))> |
#<alt beta> |
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))> |
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))> |
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))> |
#<alt alpha> |
#<alt (+ alpha beta)> |
#<alt (+ alpha beta)> |
#<alt (+ alpha beta)> |
#<alt beta> |
#<alt (* beta (+ 1 (/ alpha beta)))> |
#<alt (* beta (+ 1 (/ alpha beta)))> |
#<alt (* beta (+ 1 (/ alpha beta)))> |
#<alt beta> |
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))> |
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))> |
#<alt (* -1 (* beta (- (* -1 (/ alpha beta)) 1)))> |
#<alt beta> |
#<alt (+ alpha beta)> |
#<alt (+ alpha beta)> |
#<alt (+ alpha beta)> |
#<alt alpha> |
#<alt (* alpha (+ 1 (/ beta alpha)))> |
#<alt (* alpha (+ 1 (/ beta alpha)))> |
#<alt (* alpha (+ 1 (/ beta alpha)))> |
#<alt alpha> |
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))> |
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))> |
#<alt (* -1 (* alpha (- (* -1 (/ beta alpha)) 1)))> |
#<alt (/ -2 alpha)> |
#<alt (- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))> |
#<alt (- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))> |
#<alt (- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha)))> |
#<alt (* -2 (/ beta alpha))> |
#<alt (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))> |
#<alt (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))> |
#<alt (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))> |
#<alt (* -2 (/ beta alpha))> |
#<alt (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))> |
#<alt (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))> |
#<alt (* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta))))))> |
#<alt (/ (- (* -2 beta) 2) alpha)> |
#<alt (/ (- (* -2 beta) 2) alpha)> |
#<alt (/ (- (* -2 beta) 2) alpha)> |
#<alt (/ (- (* -2 beta) 2) alpha)> |
#<alt (/ (- (* -2 beta) 2) alpha)> |
#<alt (/ (- (* -2 beta) 2) alpha)> |
#<alt (/ (- (* -2 beta) 2) alpha)> |
#<alt (/ (- (* -2 beta) 2) alpha)> |
#<alt (/ (- (* -2 beta) 2) alpha)> |
#<alt (/ (- (* -2 beta) 2) alpha)> |
#<alt (/ (- (* -2 beta) 2) alpha)> |
#<alt (/ (- (* -2 beta) 2) alpha)> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | alpha | @ | inf | (/ (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta)) alpha) |
| 1.0ms | alpha | @ | 0 | (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta)) |
| 1.0ms | beta | @ | 0 | (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta)) |
| 1.0ms | beta | @ | inf | (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta)) |
| 1.0ms | alpha | @ | -inf | (/ (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta)) alpha) |
| 1× | batch-egg-rewrite |
| 4 700× | /-lowering-/.f32 |
| 4 700× | /-lowering-/.f64 |
| 4 052× | *-lowering-*.f32 |
| 4 052× | *-lowering-*.f64 |
| 3 808× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 32 | 119 |
| 1 | 226 | 119 |
| 2 | 2061 | 119 |
| 0 | 8650 | 106 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (- beta alpha) (/ 1/2 (+ 2 (+ beta alpha)))) 1/2) |
(- beta alpha) |
(/ 1/2 (+ 2 (+ beta alpha))) |
(+ 2 (+ beta alpha)) |
(+ (* beta (+ (* beta -1/8) 1/4)) 1/2) |
(+ (* beta -1/8) 1/4) |
(+ (* -1/2 (/ alpha (+ alpha 2))) 1/2) |
(/ alpha (+ alpha 2)) |
(+ alpha 2) |
(+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta)) |
(* (+ 2 beta) (/ (+ (* beta -2) -2) alpha)) |
(/ (+ (* 1/2 (* (+ 2 beta) (/ (+ (* beta -2) -2) alpha))) (+ 1 beta)) alpha) |
(+ 2 beta) |
(+ beta alpha) |
(/ (+ (* beta -2) -2) alpha) |
| Outputs |
|---|
(+.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64)))) |
(+.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64)))) |
(-.f64 (/.f64 #s(literal 1/4 binary64) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64))))) (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64)))))) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha)) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (-.f64 beta alpha))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 (-.f64 beta alpha) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (+.f64 beta alpha)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)))) (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta alpha)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (-.f64 beta alpha) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta)))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)) #s(literal 2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 beta alpha) (-.f64 (+.f64 beta alpha) #s(literal 2 binary64)) #s(literal 4 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal 4 binary64) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)))) (/.f64 #s(literal 1/2 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) #s(literal -1 binary64)) (/.f64 #s(literal -1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (fma.f64 alpha (*.f64 alpha alpha) (*.f64 beta (*.f64 beta beta)))) (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (fma.f64 alpha (-.f64 alpha beta) (*.f64 beta beta)))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (-.f64 beta alpha))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)))) (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)))) (-.f64 beta alpha) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (fma.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1/8 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1/4 binary64)))) |
(/.f64 (fma.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1/8 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))))) |
(/.f64 (fma.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1/8 binary64)) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) #s(literal 2 binary64))) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1/4 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) (fma.f64 (*.f64 (-.f64 beta alpha) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (/.f64 #s(literal 1/8 binary64) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))))) #s(literal 1/8 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1/4 binary64))))) |
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(/.f64 (neg.f64 (*.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) alpha)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 beta (*.f64 beta beta)) #s(literal -8 binary64) #s(literal -8 binary64)) (/.f64 #s(literal 1 binary64) alpha))) (neg.f64 (-.f64 (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 beta #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) #s(literal -4 binary64)) (/.f64 #s(literal 1 binary64) alpha))) (neg.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal 2 binary64)))) |
(pow.f64 (/.f64 alpha (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 alpha (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (/.f64 #s(literal 1 binary64) alpha)) |
(*.f64 #s(literal 1 binary64) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (*.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) alpha))) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha)) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) alpha))) |
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 alpha (fma.f64 (*.f64 beta (*.f64 beta beta)) #s(literal -8 binary64) #s(literal -8 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) #s(literal 4 binary64)) (*.f64 beta #s(literal 4 binary64))))) |
(*.f64 (pow.f64 (/.f64 alpha (fma.f64 (*.f64 beta beta) #s(literal 4 binary64) #s(literal -4 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 beta #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal 2 binary64) alpha)) |
(*.f64 (/.f64 (neg.f64 (+.f64 beta #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal -2 binary64) alpha)) |
| 1× | egg-herbie |
| 9 196× | accelerator-lowering-fma.f32 |
| 9 196× | accelerator-lowering-fma.f64 |
| 4 924× | +-lowering-+.f64 |
| 4 924× | +-lowering-+.f32 |
| 4 582× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 564 | 3440 |
| 1 | 1696 | 3347 |
| 2 | 4755 | 3237 |
| 0 | 8397 | 2996 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(* -1 alpha) |
(- beta alpha) |
(- beta alpha) |
(- beta alpha) |
beta |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
beta |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
beta |
(+ beta (* -1 alpha)) |
(+ beta (* -1 alpha)) |
(+ beta (* -1 alpha)) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (- (/ beta alpha) 1)) |
(* -1 alpha) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(/ 1/2 (+ 2 alpha)) |
(+ (* -1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha)))) |
(+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha)))) |
(+ (* beta (- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha)))) |
(/ 1/2 beta) |
(/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta) |
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 alpha) beta))) beta) |
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (* 1/2 (/ (+ 2 alpha) beta)))) beta) |
(/ 1/2 beta) |
(* -1 (/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 2) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) beta)) (* 1/2 (pow (+ 2 alpha) 2))) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta)) |
(/ 1/2 (+ 2 beta)) |
(+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta)))) |
(+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta)))) |
(+ (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta)))) |
(/ 1/2 alpha) |
(/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha) |
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (* 1/2 (/ (+ 2 beta) alpha))) alpha) |
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (* 1/2 (/ (+ 2 beta) alpha)))) alpha) |
(/ 1/2 alpha) |
(* -1 (/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 2) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 beta) 3) alpha)) (* 1/2 (pow (+ 2 beta) 2))) alpha)) (* 1/2 (+ 2 beta))) alpha)) 1/2) alpha)) |
(+ 2 alpha) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
beta |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
beta |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(* -1 (* beta (- (* -1 (/ (+ 2 alpha) beta)) 1))) |
(+ 2 beta) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
(+ 2 (+ alpha beta)) |
alpha |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
(* alpha (+ 1 (+ (* 2 (/ 1 alpha)) (/ beta alpha)))) |
alpha |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ (+ 2 beta) alpha)) 1))) |
1/2 |
(+ 1/2 (* 1/4 beta)) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(+ 1/2 (* beta (+ 1/4 (* -1/8 beta)))) |
(* -1/8 (pow beta 2)) |
(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8)) |
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8)) |
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8)) |
(* -1/8 (pow beta 2)) |
(* (pow beta 2) (- (* 1/4 (/ 1 beta)) 1/8)) |
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8)) |
(* (pow beta 2) (- (+ (/ 1/2 (pow beta 2)) (* 1/4 (/ 1 beta))) 1/8)) |
1/4 |
(+ 1/4 (* -1/8 beta)) |
(+ 1/4 (* -1/8 beta)) |
(+ 1/4 (* -1/8 beta)) |
(* -1/8 beta) |
(* beta (- (* 1/4 (/ 1 beta)) 1/8)) |
(* beta (- (* 1/4 (/ 1 beta)) 1/8)) |
(* beta (- (* 1/4 (/ 1 beta)) 1/8)) |
(* -1/8 beta) |
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta))))) |
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta))))) |
(* -1 (* beta (- 1/8 (* 1/4 (/ 1 beta))))) |
1/2 |
(+ 1/2 (* -1/4 alpha)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4))) |
(/ 1 alpha) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) alpha) |
(/ (- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) alpha) |
(/ 1 alpha) |
(* -1 (/ (- (* 2 (/ 1 alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* 4 (/ 1 alpha)) 2) alpha)) 1) alpha)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 8 (/ 1 alpha)) 4) alpha)) 2) alpha)) 1) alpha)) |
(* 1/2 alpha) |
(* alpha (+ 1/2 (* -1/4 alpha))) |
(* alpha (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))) |
(* alpha (+ 1/2 (* alpha (- (* alpha (+ 1/8 (* -1/16 alpha))) 1/4)))) |
1 |
(- 1 (* 2 (/ 1 alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (* 2 (/ 1 alpha))) |
(- (+ 1 (/ 4 (pow alpha 2))) (+ (* 2 (/ 1 alpha)) (* 8 (/ 1 (pow alpha 3))))) |
1 |
(- 1 (* 2 (/ 1 alpha))) |
(+ 1 (* -1 (/ (- 2 (* 4 (/ 1 alpha))) alpha))) |
(+ 1 (* -1 (/ (+ 2 (* -1 (/ (- 4 (* 8 (/ 1 alpha))) alpha))) alpha))) |
2 |
(+ 2 alpha) |
(+ 2 alpha) |
(+ 2 alpha) |
alpha |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
alpha |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(* alpha (+ 1 (* 2 (/ 1 alpha)))) |
(- 1 (* 2 (/ 1 alpha))) |
(- (+ 1 (* beta (- 1 (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) |
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) |
(- (+ 1 (* beta (- (+ 1 (* -1 (/ beta alpha))) (* 3 (/ 1 alpha))))) (* 2 (/ 1 alpha))) |
(* -1 (/ (pow beta 2) alpha)) |
(* (pow beta 2) (- (/ 1 beta) (+ (/ 1 alpha) (/ 3 (* alpha beta))))) |
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))))) |
(* (pow beta 2) (- (+ (/ 1 beta) (/ 1 (pow beta 2))) (+ (/ 1 alpha) (+ (* 2 (/ 1 (* alpha (pow beta 2)))) (/ 3 (* alpha beta)))))) |
(* -1 (/ (pow beta 2) alpha)) |
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 alpha)) 1) beta)) (/ 1 alpha))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- 1 (* 2 (/ 1 alpha))) beta)) (* 3 (/ 1 alpha))) 1) beta)) (/ 1 alpha))) |
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)) |
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) alpha) |
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) alpha) |
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) alpha) |
(+ 1 beta) |
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) |
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) |
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) |
(+ 1 beta) |
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) |
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) |
(+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) |
(/ -4 alpha) |
(- (* -6 (/ beta alpha)) (* 4 (/ 1 alpha))) |
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha))) |
(- (* beta (- (* -2 (/ beta alpha)) (* 6 (/ 1 alpha)))) (* 4 (/ 1 alpha))) |
(* -2 (/ (pow beta 2) alpha)) |
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta)))))) |
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha)))) |
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha)))) |
(* -2 (/ (pow beta 2) alpha)) |
(* -1 (* (pow beta 2) (+ (* 2 (/ 1 alpha)) (* 6 (/ 1 (* alpha beta)))))) |
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha)))) |
(* (pow beta 2) (- (* -1 (/ (+ (* 6 (/ 1 alpha)) (* 4 (/ 1 (* alpha beta)))) beta)) (* 2 (/ 1 alpha)))) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))) |
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))) |
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (pow alpha 2))) |
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/ (+ 1 beta) alpha) |
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha) |
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha) |
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha) |
(/ (+ 1 beta) alpha) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha)) |
2 |
(+ 2 beta) |
(+ 2 beta) |
(+ 2 beta) |
beta |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
beta |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
alpha |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
beta |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
(* beta (+ 1 (/ alpha beta))) |
beta |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
beta |
(+ alpha beta) |
(+ alpha beta) |
(+ alpha beta) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
(* alpha (+ 1 (/ beta alpha))) |
alpha |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(/ -2 alpha) |
(- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha))) |
(- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha))) |
(- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha))) |
(* -2 (/ beta alpha)) |
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))))) |
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))))) |
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))))) |
(* -2 (/ beta alpha)) |
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))))) |
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))))) |
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))))) |
(/ (- (* -2 beta) 2) alpha) |
(/ (- (* -2 beta) 2) alpha) |
(/ (- (* -2 beta) 2) alpha) |
(/ (- (* -2 beta) 2) alpha) |
(/ (- (* -2 beta) 2) alpha) |
(/ (- (* -2 beta) 2) alpha) |
(/ (- (* -2 beta) 2) alpha) |
(/ (- (* -2 beta) 2) alpha) |
(/ (- (* -2 beta) 2) alpha) |
(/ (- (* -2 beta) 2) alpha) |
(/ (- (* -2 beta) 2) alpha) |
(/ (- (* -2 beta) 2) alpha) |
| Outputs |
|---|
(+ 1/2 (* -1/2 (/ alpha (+ 2 alpha)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* 1/2 (* beta (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2)))))))) |
(fma.f64 #s(literal 1/2 binary64) (*.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (* beta (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))))))) |
(fma.f64 (*.f64 #s(literal 1/2 binary64) beta) (+.f64 (fma.f64 beta (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 alpha))) (* beta (+ (* 1/2 (- (/ 1 (+ 2 alpha)) (* -1 (/ alpha (pow (+ 2 alpha) 2))))) (* beta (+ (* 1/2 (* beta (- (/ 1 (pow (+ 2 alpha) 3)) (* -1 (/ alpha (pow (+ 2 alpha) 4)))))) (* 1/2 (- (* -1 (/ alpha (pow (+ 2 alpha) 3))) (/ 1 (pow (+ 2 alpha) 2)))))))))) |
(fma.f64 beta (*.f64 #s(literal 1/2 binary64) (fma.f64 (fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 alpha (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64)))) (*.f64 (+.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha))))) beta (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 alpha #s(literal 2 binary64))) (/.f64 alpha (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))))) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta)))) |
(fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) (pow beta 2))) (+ (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) (pow beta 3))) (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))))) |
(fma.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 beta (*.f64 beta beta))) (fma.f64 (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1/2 binary64)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) (+ 2 alpha)) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1/2 (- (* -1 alpha) (+ 2 alpha))) (* 1/2 (/ (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha))) beta))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64)) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta))) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (* (+ 2 alpha) (- (* -1 alpha) (+ 2 alpha)))) (* 1/2 (/ (* (pow (+ 2 alpha) 2) (- (* -1 alpha) (+ 2 alpha))) beta))) beta)) (* -1/2 (- (* -1 alpha) (+ 2 alpha)))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 (fma.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64)) (*.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) (/.f64 (fma.f64 alpha #s(literal -2 binary64) #s(literal -2 binary64)) beta))) beta)) beta)) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))))) (* 1/2 (/ beta (+ 2 beta))))) |
(fma.f64 alpha (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* 1/2 (/ (* alpha (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (+ 2 beta))))))) |
(fma.f64 alpha (fma.f64 alpha (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* 1/2 (/ beta (+ 2 beta))) (* alpha (+ (* -1/2 (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2)))) (* alpha (+ (* -1/2 (* alpha (+ (/ 1 (pow (+ 2 beta) 3)) (/ beta (pow (+ 2 beta) 4))))) (* 1/2 (/ (+ (/ 1 (+ 2 beta)) (/ beta (pow (+ 2 beta) 2))) (+ 2 beta))))))))) |
(fma.f64 alpha (fma.f64 alpha (fma.f64 #s(literal -1/2 binary64) (fma.f64 alpha (/.f64 beta (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))))) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal -1/2 binary64) (+.f64 #s(literal 2 binary64) beta)))) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64))) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) alpha)) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (* 1/2 (- beta (* -1 (+ 2 beta))))) alpha) |
(/.f64 (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) (fma.f64 #s(literal 1/2 binary64) beta (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (*.f64 alpha alpha)))))) (*.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))) alpha) |
(/ (+ (* -1/2 (/ (* (+ 2 beta) (- beta (* -1 (+ 2 beta)))) alpha)) (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- beta (* -1 (+ 2 beta)))) (pow alpha 3))) (+ (* 1/2 (- beta (* -1 (+ 2 beta)))) (* 1/2 (/ (* (pow (+ 2 beta) 2) (- beta (* -1 (+ 2 beta)))) (pow alpha 2)))))) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (+.f64 beta (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 1 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (*.f64 alpha alpha)))))) (*.f64 #s(literal -1/2 binary64) (*.f64 (/.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) alpha) (+.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (*.f64 alpha alpha)))))) alpha) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(/.f64 (*.f64 #s(literal -1/2 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha) |
(* -1 (/ (+ (* -1/2 (/ (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha))) (-.f64 #s(literal 0 binary64) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 (fma.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64))) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) (*.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)))) alpha)) (-.f64 #s(literal 0 binary64) alpha)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (+ (* -1/2 (/ (* (pow (+ 2 beta) 3) (- (* -1 beta) (+ 2 beta))) alpha)) (* 1/2 (* (pow (+ 2 beta) 2) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (* (+ 2 beta) (- (* -1 beta) (+ 2 beta))))) alpha)) (* 1/2 (- (* -1 beta) (+ 2 beta)))) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1/2 binary64) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) (/.f64 (-.f64 (*.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (-.f64 #s(literal -2 binary64) beta)) (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64))) alpha)) alpha)) alpha)) (-.f64 #s(literal 0 binary64) alpha)) |
(* -1 alpha) |
(-.f64 #s(literal 0 binary64) alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
(- beta alpha) |
(-.f64 beta alpha) |
beta |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))) |
beta |
(* -1 (* beta (- (/ alpha beta) 1))) |
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(*.f64 beta (-.f64 #s(literal 1 binary64) (/.f64 alpha beta))) |
beta |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(+ beta (* -1 alpha)) |
(-.f64 beta alpha) |
(* -1 alpha) |
(-.f64 #s(literal 0 binary64) alpha) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha))) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha))) |
(* alpha (- (/ beta alpha) 1)) |
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha))) |
(* -1 alpha) |
(-.f64 #s(literal 0 binary64) alpha) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(*.f64 alpha (+.f64 #s(literal -1 binary64) (/.f64 beta alpha))) |
(/ 1/2 (+ 2 alpha)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) |
(+ (* -1/2 (/ beta (pow (+ 2 alpha) 2))) (* 1/2 (/ 1 (+ 2 alpha)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64)))) |
(+ (* beta (- (* 1/2 (/ beta (pow (+ 2 alpha) 3))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha)))) |
(fma.f64 beta (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64)))) |
(+ (* beta (- (* beta (+ (* -1/2 (/ beta (pow (+ 2 alpha) 4))) (* 1/2 (/ 1 (pow (+ 2 alpha) 3))))) (* 1/2 (/ 1 (pow (+ 2 alpha) 2))))) (* 1/2 (/ 1 (+ 2 alpha)))) |
(fma.f64 beta (fma.f64 beta (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (pow.f64 (+.f64 alpha #s(literal 2 binary64)) #s(literal 4 binary64))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))))) (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) alpha)))) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64)))) |
(/ 1/2 beta) |
(/.f64 #s(literal 1/2 binary64) beta) |
(/ (+ 1/2 (* -1/2 (/ (+ 2 alpha) beta))) beta) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1/2 binary64)) beta) |
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2)))) (* 1/2 (/ (+ 2 alpha) beta))) beta) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) beta) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64))) #s(literal 1/2 binary64)) beta) |
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 alpha) 3) (pow beta 3)))) (+ (* -1/2 (/ (pow (+ 2 alpha) 2) (pow beta 2))) (* 1/2 (/ (+ 2 alpha) beta)))) beta) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64))) beta) (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) (*.f64 beta (*.f64 beta beta))) #s(literal 1/2 binary64))) beta) |
(/ 1/2 beta) |
(/.f64 #s(literal 1/2 binary64) beta) |
(* -1 (/ (- (* 1/2 (/ (+ 2 alpha) beta)) 1/2) beta)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1/2 binary64)) beta) |
(* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 2) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta)) |
(/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64))) beta) #s(literal -1/2 binary64)) (-.f64 #s(literal 0 binary64) beta)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* 1/2 (/ (pow (+ 2 alpha) 3) beta)) (* 1/2 (pow (+ 2 alpha) 2))) beta)) (* 1/2 (+ 2 alpha))) beta)) 1/2) beta)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) (/.f64 (*.f64 (+.f64 alpha #s(literal 2 binary64)) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta) #s(literal -1 binary64)))) beta) (fma.f64 #s(literal -1/2 binary64) alpha #s(literal -1 binary64))) beta)) beta) |
(/ 1/2 (+ 2 beta)) |
(/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta)) |
(+ (* -1/2 (/ alpha (pow (+ 2 beta) 2))) (* 1/2 (/ 1 (+ 2 beta)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) |
(+ (* alpha (- (* 1/2 (/ alpha (pow (+ 2 beta) 3))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta)))) |
(fma.f64 alpha (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) #s(literal -1 binary64))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) |
(+ (* alpha (- (* alpha (+ (* -1/2 (/ alpha (pow (+ 2 beta) 4))) (* 1/2 (/ 1 (pow (+ 2 beta) 3))))) (* 1/2 (/ 1 (pow (+ 2 beta) 2))))) (* 1/2 (/ 1 (+ 2 beta)))) |
(fma.f64 alpha (fma.f64 alpha (/.f64 (*.f64 #s(literal -1/2 binary64) alpha) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 #s(literal 2 binary64) beta))) (*.f64 (/.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 #s(literal 2 binary64) beta))) (+.f64 (/.f64 alpha (+.f64 #s(literal 2 binary64) beta)) #s(literal -1 binary64)))) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) beta))) |
(/ 1/2 alpha) |
(/.f64 #s(literal 1/2 binary64) alpha) |
(/ (+ 1/2 (* -1/2 (/ (+ 2 beta) alpha))) alpha) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) alpha)) alpha) |
(/ (- (+ 1/2 (* 1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2)))) (* 1/2 (/ (+ 2 beta) alpha))) alpha) |
(/.f64 (fma.f64 (/.f64 #s(literal 1/2 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64))) #s(literal 1/2 binary64)) alpha) |
(/ (- (+ 1/2 (* -1/2 (/ (pow (+ 2 beta) 3) (pow alpha 3)))) (+ (* -1/2 (/ (pow (+ 2 beta) 2) (pow alpha 2))) (* 1/2 (/ (+ 2 beta) alpha)))) alpha) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) beta) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (-.f64 #s(literal -2 binary64) beta)) (*.f64 alpha (*.f64 alpha alpha))) (fma.f64 (/.f64 #s(literal 1/2 binary64) alpha) (*.f64 (+.f64 #s(literal 2 binary64) beta) (+.f64 (/.f64 (+.f64 #s(literal 2 binary64) beta) alpha) #s(literal -1 binary64))) #s(literal 1/2 binary64))) alpha) |
(/ 1/2 alpha) |
(/.f64 #s(literal 1/2 binary64) alpha) |
(* -1 (/ (- (* 1/2 (/ (+ 2 beta) alpha)) 1/2) alpha)) |
(/.f64 (+.f64 #s(literal 1/2 binary64) (/.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) alpha)) alpha) |
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(* beta (+ 1 (+ (* 2 (/ 1 beta)) (/ alpha beta)))) |
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beta |
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#s(literal 1/2 binary64) |
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#s(literal 2 binary64) |
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(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) |
(/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha) |
(*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) |
(/ (- 1 (* 2 (/ 1 alpha))) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) |
(- (+ (* beta (- (/ 1 alpha) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(fma.f64 beta (+.f64 (/.f64 #s(literal 1 binary64) alpha) (/.f64 #s(literal -3 binary64) (*.f64 alpha alpha))) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)) |
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(fma.f64 beta (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (+.f64 beta #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)) |
(- (+ (* beta (- (+ (* -1 (/ beta (pow alpha 2))) (/ 1 alpha)) (* 3 (/ 1 (pow alpha 2))))) (/ 1 alpha)) (/ 2 (pow alpha 2))) |
(fma.f64 beta (fma.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (+.f64 beta #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha)) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(*.f64 beta (/.f64 beta (*.f64 alpha (-.f64 #s(literal 0 binary64) alpha)))) |
(* (pow beta 2) (- (/ 1 (* alpha beta)) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta))))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha beta)) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -3 binary64) (*.f64 alpha (*.f64 alpha beta)))))) |
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))) |
(*.f64 (*.f64 beta beta) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta))) (/.f64 #s(literal 1 binary64) (*.f64 alpha beta))) (+.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -3 binary64) (*.f64 alpha (*.f64 alpha beta)))) (/.f64 #s(literal -2 binary64) (*.f64 alpha (*.f64 alpha (*.f64 beta beta))))))) |
(* (pow beta 2) (- (+ (/ 1 (* alpha beta)) (/ 1 (* alpha (pow beta 2)))) (+ (* 2 (/ 1 (* (pow alpha 2) (pow beta 2)))) (+ (/ 1 (pow alpha 2)) (/ 3 (* (pow alpha 2) beta)))))) |
(*.f64 (*.f64 beta beta) (+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 alpha (*.f64 beta beta))) (/.f64 #s(literal 1 binary64) (*.f64 alpha beta))) (+.f64 (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -3 binary64) (*.f64 alpha (*.f64 alpha beta)))) (/.f64 #s(literal -2 binary64) (*.f64 alpha (*.f64 alpha (*.f64 beta beta))))))) |
(* -1 (/ (pow beta 2) (pow alpha 2))) |
(*.f64 beta (/.f64 beta (*.f64 alpha (-.f64 #s(literal 0 binary64) alpha)))) |
(* (pow beta 2) (- (* -1 (/ (- (* 3 (/ 1 (pow alpha 2))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 (*.f64 beta beta) (+.f64 (-.f64 (/.f64 #s(literal -3 binary64) (*.f64 alpha (*.f64 alpha beta))) (/.f64 #s(literal -1 binary64) (*.f64 alpha beta))) (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) beta) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -1 binary64) alpha))) beta) (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)))) |
(* (pow beta 2) (- (* -1 (/ (- (+ (* -1 (/ (- (/ 1 alpha) (* 2 (/ 1 (pow alpha 2)))) beta)) (* 3 (/ 1 (pow alpha 2)))) (/ 1 alpha)) beta)) (/ 1 (pow alpha 2)))) |
(*.f64 (*.f64 beta beta) (+.f64 (/.f64 (-.f64 (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) beta) (+.f64 (/.f64 #s(literal 3 binary64) (*.f64 alpha alpha)) (/.f64 #s(literal -1 binary64) alpha))) beta) (/.f64 #s(literal -1 binary64) (*.f64 alpha alpha)))) |
(* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) (pow alpha 2))) |
(/.f64 (*.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64))) (*.f64 alpha alpha)) |
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)) |
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)) |
(/ (+ (* 1/2 (* (+ 2 beta) (- (* -2 beta) 2))) (* alpha (+ 1 beta))) (pow alpha 2)) |
(/.f64 (fma.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (fma.f64 alpha beta alpha)) (*.f64 alpha alpha)) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha) |
(/.f64 (+.f64 beta (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) alpha) |
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha) |
(/.f64 (+.f64 beta (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) alpha) |
(/ (+ 1 (+ beta (* 1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha)))) alpha) |
(/.f64 (+.f64 beta (fma.f64 (fma.f64 #s(literal 1/2 binary64) beta #s(literal 1 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) #s(literal 1 binary64))) alpha) |
(/ (+ 1 beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (-.f64 #s(literal 0 binary64) alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (-.f64 #s(literal 0 binary64) alpha)) |
(* -1 (/ (+ (* -1 (+ 1 beta)) (* -1/2 (/ (* (+ 2 beta) (- (* -2 beta) 2)) alpha))) alpha)) |
(/.f64 (fma.f64 (fma.f64 #s(literal -1/2 binary64) beta #s(literal -1 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) (-.f64 #s(literal -1 binary64) beta)) (-.f64 #s(literal 0 binary64) alpha)) |
2 |
#s(literal 2 binary64) |
(+ 2 beta) |
(+.f64 #s(literal 2 binary64) beta) |
(+ 2 beta) |
(+.f64 #s(literal 2 binary64) beta) |
(+ 2 beta) |
(+.f64 #s(literal 2 binary64) beta) |
beta |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(+.f64 #s(literal 2 binary64) beta) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(+.f64 #s(literal 2 binary64) beta) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(+.f64 #s(literal 2 binary64) beta) |
beta |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(+.f64 #s(literal 2 binary64) beta) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(+.f64 #s(literal 2 binary64) beta) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(+.f64 #s(literal 2 binary64) beta) |
alpha |
(+ alpha beta) |
(+.f64 alpha beta) |
(+ alpha beta) |
(+.f64 alpha beta) |
(+ alpha beta) |
(+.f64 alpha beta) |
beta |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 beta (/.f64 alpha beta) beta) |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 beta (/.f64 alpha beta) beta) |
(* beta (+ 1 (/ alpha beta))) |
(fma.f64 beta (/.f64 alpha beta) beta) |
beta |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 beta (-.f64 #s(literal -1 binary64) (/.f64 alpha beta)))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 beta (-.f64 #s(literal -1 binary64) (/.f64 alpha beta)))) |
(* -1 (* beta (- (* -1 (/ alpha beta)) 1))) |
(-.f64 #s(literal 0 binary64) (*.f64 beta (-.f64 #s(literal -1 binary64) (/.f64 alpha beta)))) |
beta |
(+ alpha beta) |
(+.f64 alpha beta) |
(+ alpha beta) |
(+.f64 alpha beta) |
(+ alpha beta) |
(+.f64 alpha beta) |
alpha |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 alpha (/.f64 beta alpha) alpha) |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 alpha (/.f64 beta alpha) alpha) |
(* alpha (+ 1 (/ beta alpha))) |
(fma.f64 alpha (/.f64 beta alpha) alpha) |
alpha |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(fma.f64 alpha (/.f64 beta alpha) alpha) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(fma.f64 alpha (/.f64 beta alpha) alpha) |
(* -1 (* alpha (- (* -1 (/ beta alpha)) 1))) |
(fma.f64 alpha (/.f64 beta alpha) alpha) |
(/ -2 alpha) |
(/.f64 #s(literal -2 binary64) alpha) |
(- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha))) |
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) |
(- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha))) |
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) |
(- (* -2 (/ beta alpha)) (* 2 (/ 1 alpha))) |
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) |
(* -2 (/ beta alpha)) |
(/.f64 (*.f64 beta #s(literal -2 binary64)) alpha) |
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))))) |
(*.f64 beta (+.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -2 binary64) (*.f64 alpha beta)))) |
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))))) |
(*.f64 beta (+.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -2 binary64) (*.f64 alpha beta)))) |
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))))) |
(*.f64 beta (+.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -2 binary64) (*.f64 alpha beta)))) |
(* -2 (/ beta alpha)) |
(/.f64 (*.f64 beta #s(literal -2 binary64)) alpha) |
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))))) |
(*.f64 beta (+.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -2 binary64) (*.f64 alpha beta)))) |
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))))) |
(*.f64 beta (+.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -2 binary64) (*.f64 alpha beta)))) |
(* -1 (* beta (+ (* 2 (/ 1 alpha)) (* 2 (/ 1 (* alpha beta)))))) |
(*.f64 beta (+.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -2 binary64) (*.f64 alpha beta)))) |
(/ (- (* -2 beta) 2) alpha) |
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) |
(/ (- (* -2 beta) 2) alpha) |
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) |
(/ (- (* -2 beta) 2) alpha) |
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) |
(/ (- (* -2 beta) 2) alpha) |
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) |
(/ (- (* -2 beta) 2) alpha) |
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) |
(/ (- (* -2 beta) 2) alpha) |
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) |
(/ (- (* -2 beta) 2) alpha) |
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) |
(/ (- (* -2 beta) 2) alpha) |
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) |
(/ (- (* -2 beta) 2) alpha) |
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) |
(/ (- (* -2 beta) 2) alpha) |
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) |
(/ (- (* -2 beta) 2) alpha) |
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) |
(/ (- (* -2 beta) 2) alpha) |
(/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha) |
Compiled 25 008 to 2 979 computations (88.1% saved)
25 alts after pruning (20 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 938 | 14 | 952 |
| Fresh | 4 | 6 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 944 | 25 | 969 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 70.6% | (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| 47.6% | (fma.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64))) (/.f64 alpha (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 alpha alpha #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64)) | |
| ▶ | 4.2% | (fma.f64 (-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| 46.0% | (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) | |
| 44.9% | (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) | |
| ✓ | 43.9% | (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
| 44.9% | (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) | |
| 46.4% | (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) | |
| ▶ | 47.2% | (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
| 46.4% | (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)) | |
| ✓ | 71.7% | (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
| ✓ | 48.6% | (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
| ▶ | 3.6% | (fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
| 30.0% | (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha) | |
| 30.4% | (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) | |
| 44.3% | (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)))) | |
| 47.8% | (/.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (fma.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal -2 binary64))) | |
| 31.0% | (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) | |
| 29.8% | (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 beta (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (+.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha))) alpha) | |
| 25.2% | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) | |
| 15.5% | (/.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)) beta) (/.f64 #s(literal -1 binary64) alpha))) alpha) | |
| 26.6% | (/.f64 #s(literal 1 binary64) alpha) | |
| ▶ | 30.9% | (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) alpha)) |
| ✓ | 37.2% | #s(literal 1 binary64) |
| ✓ | 48.3% | #s(literal 1/2 binary64) |
Compiled 681 to 416 computations (38.9% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 beta alpha) |
| ✓ | cost-diff | 0 | (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) |
| ✓ | cost-diff | 704 | (-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) |
| ✓ | cost-diff | 768 | (fma.f64 (-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1/2 binary64) alpha) |
| ✓ | cost-diff | 0 | (+.f64 beta beta) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) |
| ✓ | cost-diff | 512 | (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) alpha)) |
| ✓ | cost-diff | 0 | (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 384 | (fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 beta #s(literal 2 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 beta alpha) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| 16 240× | accelerator-lowering-fma.f32 |
| 16 240× | accelerator-lowering-fma.f64 |
| 3 106× | *-lowering-*.f32 |
| 3 106× | *-lowering-*.f64 |
| 2 020× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 115 |
| 1 | 76 | 115 |
| 2 | 165 | 115 |
| 3 | 430 | 107 |
| 4 | 989 | 107 |
| 5 | 3367 | 105 |
| 6 | 6489 | 105 |
| 0 | 8092 | 99 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (/ (- beta alpha) (+ beta 2)) 1/2) 1/2) |
(/ (- beta alpha) (+ beta 2)) |
(- beta alpha) |
beta |
alpha |
(+ beta 2) |
2 |
1/2 |
(+ (* -1/2 1) 1/2) |
-1/2 |
1 |
1/2 |
(+ (* alpha (+ (* alpha 1/8) -1/4)) 1/2) |
alpha |
(+ (* alpha 1/8) -1/4) |
1/8 |
-1/4 |
1/2 |
(* (+ 2 (+ beta beta)) (/ 1/2 alpha)) |
(+ 2 (+ beta beta)) |
2 |
(+ beta beta) |
beta |
(/ 1/2 alpha) |
1/2 |
alpha |
(+ (* (- (+ (/ beta alpha) -1) (/ (- -2 beta) alpha)) 1/2) 1/2) |
(- (+ (/ beta alpha) -1) (/ (- -2 beta) alpha)) |
(+ (/ beta alpha) -1) |
(/ beta alpha) |
beta |
alpha |
-1 |
(/ (- -2 beta) alpha) |
(- -2 beta) |
-2 |
1/2 |
| Outputs |
|---|
(+ (* (/ (- beta alpha) (+ beta 2)) 1/2) 1/2) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/ (- beta alpha) (+ beta 2)) |
(/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) |
(- beta alpha) |
(-.f64 beta alpha) |
beta |
alpha |
(+ beta 2) |
(+.f64 beta #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(+ (* -1/2 1) 1/2) |
#s(literal 0 binary64) |
-1/2 |
#s(literal -1/2 binary64) |
1 |
#s(literal 1 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(+ (* alpha (+ (* alpha 1/8) -1/4)) 1/2) |
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
alpha |
(+ (* alpha 1/8) -1/4) |
(fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) |
1/8 |
#s(literal 1/8 binary64) |
-1/4 |
#s(literal -1/4 binary64) |
1/2 |
#s(literal 1/2 binary64) |
(* (+ 2 (+ beta beta)) (/ 1/2 alpha)) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(+ 2 (+ beta beta)) |
(fma.f64 beta #s(literal 2 binary64) #s(literal 2 binary64)) |
2 |
#s(literal 2 binary64) |
(+ beta beta) |
(+.f64 beta beta) |
beta |
(/ 1/2 alpha) |
(/.f64 #s(literal 1/2 binary64) alpha) |
1/2 |
#s(literal 1/2 binary64) |
alpha |
(+ (* (- (+ (/ beta alpha) -1) (/ (- -2 beta) alpha)) 1/2) 1/2) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(- (+ (/ beta alpha) -1) (/ (- -2 beta) alpha)) |
(fma.f64 (/.f64 #s(literal -2 binary64) alpha) (-.f64 #s(literal -1 binary64) beta) #s(literal -1 binary64)) |
(+ (/ beta alpha) -1) |
(+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) |
(/ beta alpha) |
(/.f64 beta alpha) |
beta |
alpha |
-1 |
#s(literal -1 binary64) |
(/ (- -2 beta) alpha) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(- -2 beta) |
(-.f64 #s(literal -2 binary64) beta) |
-2 |
#s(literal -2 binary64) |
1/2 |
#s(literal 1/2 binary64) |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
| ✓ | accuracy | 72.9% | (fma.f64 (-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1/2 binary64) alpha) |
| ✓ | accuracy | 100.0% | (+.f64 beta beta) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) |
| ✓ | accuracy | 99.9% | (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) alpha)) |
| ✓ | accuracy | 100.0% | (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 beta alpha) |
| ✓ | accuracy | 100.0% | (+.f64 beta #s(literal 2 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) |
| 59.0ms | 184× | 0 | valid |
| 18.0ms | 53× | 1 | valid |
| 9.0ms | 19× | 2 | valid |
Compiled 121 to 34 computations (71.9% saved)
ival-add: 12.0ms (30.7% of total)ival-mult: 10.0ms (25.6% of total)ival-div: 8.0ms (20.5% of total)ival-sub: 5.0ms (12.8% of total)adjust: 3.0ms (7.7% of total)exact: 1.0ms (2.6% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* (/ (- beta alpha) (+ beta 2)) 1/2) 1/2)> |
#<alt (/ (- beta alpha) (+ beta 2))> |
#<alt (- beta alpha)> |
#<alt (+ beta 2)> |
#<alt (+ (* -1/2 1) 1/2)> |
#<alt (+ (* alpha (+ (* alpha 1/8) -1/4)) 1/2)> |
#<alt (+ (* alpha 1/8) -1/4)> |
#<alt (* (+ 2 (+ beta beta)) (/ 1/2 alpha))> |
#<alt (+ 2 (+ beta beta))> |
#<alt (+ beta beta)> |
#<alt (/ 1/2 alpha)> |
#<alt (+ (* (- (+ (/ beta alpha) -1) (/ (- -2 beta) alpha)) 1/2) 1/2)> |
#<alt (- (+ (/ beta alpha) -1) (/ (- -2 beta) alpha))> |
#<alt (+ (/ beta alpha) -1)> |
#<alt (/ beta alpha)> |
#<alt (/ (- -2 beta) alpha)> |
| Outputs |
|---|
#<alt (+ 1/2 (* -1/4 alpha))> |
#<alt (+ 1/2 (+ (* -1/4 alpha) (* 1/2 (* beta (- 1/2 (* -1/4 alpha))))))> |
#<alt (+ 1/2 (+ (* -1/4 alpha) (* beta (+ (* -1/4 (* beta (- 1/2 (* -1/4 alpha)))) (* 1/2 (- 1/2 (* -1/4 alpha)))))))> |
#<alt (+ 1/2 (+ (* -1/4 alpha) (* beta (+ (* 1/2 (- 1/2 (* -1/4 alpha))) (* beta (+ (* -1/4 (- 1/2 (* -1/4 alpha))) (* 1/8 (* beta (- 1/2 (* -1/4 alpha))))))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) 2) beta)))> |
#<alt (+ 1 (+ (* -1 (/ (- (* -1 alpha) 2) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) 2) beta))))> |
#<alt (+ 1 (+ (* -1 (/ (- (* -1 alpha) 2) (pow beta 2))) (+ (* 1/2 (/ (- (* -1 alpha) 2) beta)) (* 2 (/ (- (* -1 alpha) 2) (pow beta 3))))))> |
#<alt 1> |
#<alt (+ 1 (* 1/2 (/ (- (* -1 alpha) 2) beta)))> |
#<alt (+ 1 (* -1 (/ (- (+ (* -1 (/ alpha beta)) (* -1/2 (- (* -1 alpha) 2))) (* 2 (/ 1 beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta)) (* -1/2 (- (* -1 alpha) 2))) beta)))> |
#<alt (+ 1/2 (* 1/2 (/ beta (+ 2 beta))))> |
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (/ beta (+ 2 beta)))))> |
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (/ beta (+ 2 beta)))))> |
#<alt (+ 1/2 (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (/ beta (+ 2 beta)))))> |
#<alt (* -1/2 (/ alpha (+ 2 beta)))> |
#<alt (* alpha (- (+ (* 1/2 (/ beta (* alpha (+ 2 beta)))) (* 1/2 (/ 1 alpha))) (* 1/2 (/ 1 (+ 2 beta)))))> |
#<alt (* alpha (- (+ (* 1/2 (/ beta (* alpha (+ 2 beta)))) (* 1/2 (/ 1 alpha))) (* 1/2 (/ 1 (+ 2 beta)))))> |
#<alt (* alpha (- (+ (* 1/2 (/ beta (* alpha (+ 2 beta)))) (* 1/2 (/ 1 alpha))) (* 1/2 (/ 1 (+ 2 beta)))))> |
#<alt (* -1/2 (/ alpha (+ 2 beta)))> |
#<alt (* -1 (* alpha (+ (* -1 (/ (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))> |
#<alt (* -1 (* alpha (+ (* -1 (/ (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))> |
#<alt (* -1 (* alpha (+ (* -1 (/ (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) alpha)) (* 1/2 (/ 1 (+ 2 beta))))))> |
#<alt (* -1/2 alpha)> |
#<alt (+ (* -1/2 alpha) (* beta (- 1/2 (* -1/4 alpha))))> |
#<alt (+ (* -1/2 alpha) (* beta (- (+ 1/2 (* -1/2 (* beta (- 1/2 (* -1/4 alpha))))) (* -1/4 alpha))))> |
#<alt (+ (* -1/2 alpha) (* beta (- (+ 1/2 (* beta (- (* 1/4 (* beta (- 1/2 (* -1/4 alpha)))) (* 1/2 (- 1/2 (* -1/4 alpha)))))) (* -1/4 alpha))))> |
#<alt 1> |
#<alt (- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ 1 beta)))> |
#<alt (- (+ 1 (+ (* -2 (/ (- (* -1 alpha) 2) (pow beta 2))) (* -1 (/ alpha beta)))) (* 2 (/ 1 beta)))> |
#<alt (- (+ 1 (+ (* -1 (/ alpha beta)) (* 4 (/ (- (* -1 alpha) 2) (pow beta 3))))) (+ (* 2 (/ (- (* -1 alpha) 2) (pow beta 2))) (* 2 (/ 1 beta))))> |
#<alt 1> |
#<alt (- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ 1 beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta)))> |
#<alt (+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* -1 (/ (+ (* -2 (- (* -1 alpha) 2)) (* 4 (/ (- (* -1 alpha) 2) beta))) beta))) beta)))> |
#<alt (/ beta (+ 2 beta))> |
#<alt (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))> |
#<alt (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))> |
#<alt (+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta)))> |
#<alt (* -1 (/ alpha (+ 2 beta)))> |
#<alt (* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta))))> |
#<alt (* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta))))> |
#<alt (* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta))))> |
#<alt (* -1 (/ alpha (+ 2 beta)))> |
#<alt (* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta)))))> |
#<alt (* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta)))))> |
#<alt (* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta)))))> |
#<alt (* -1 alpha)> |
#<alt (- beta alpha)> |
#<alt (- beta alpha)> |
#<alt (- beta alpha)> |
#<alt beta> |
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))> |
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))> |
#<alt (* beta (+ 1 (* -1 (/ alpha beta))))> |
#<alt beta> |
#<alt (* -1 (* beta (- (/ alpha beta) 1)))> |
#<alt (* -1 (* beta (- (/ alpha beta) 1)))> |
#<alt (* -1 (* beta (- (/ alpha beta) 1)))> |
#<alt beta> |
#<alt (+ beta (* -1 alpha))> |
#<alt (+ beta (* -1 alpha))> |
#<alt (+ beta (* -1 alpha))> |
#<alt (* -1 alpha)> |
#<alt (* alpha (- (/ beta alpha) 1))> |
#<alt (* alpha (- (/ beta alpha) 1))> |
#<alt (* alpha (- (/ beta alpha) 1))> |
#<alt (* -1 alpha)> |
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))> |
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))> |
#<alt (* -1 (* alpha (+ 1 (* -1 (/ beta alpha)))))> |
#<alt 2> |
#<alt (+ 2 beta)> |
#<alt (+ 2 beta)> |
#<alt (+ 2 beta)> |
#<alt beta> |
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))> |
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))> |
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))> |
#<alt beta> |
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))> |
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))> |
#<alt (* beta (+ 1 (* 2 (/ 1 beta))))> |
#<alt 1/2> |
#<alt (+ 1/2 (* -1/4 alpha))> |
#<alt (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))> |
#<alt (+ 1/2 (* alpha (- (* 1/8 alpha) 1/4)))> |
#<alt (* 1/8 (pow alpha 2))> |
#<alt (* (pow alpha 2) (- 1/8 (* 1/4 (/ 1 alpha))))> |
#<alt (* (pow alpha 2) (- (+ 1/8 (/ 1/2 (pow alpha 2))) (* 1/4 (/ 1 alpha))))> |
#<alt (* (pow alpha 2) (- (+ 1/8 (/ 1/2 (pow alpha 2))) (* 1/4 (/ 1 alpha))))> |
#<alt (* 1/8 (pow alpha 2))> |
#<alt (* (pow alpha 2) (- 1/8 (* 1/4 (/ 1 alpha))))> |
#<alt (* (pow alpha 2) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 alpha))) alpha))))> |
#<alt (* (pow alpha 2) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 alpha))) alpha))))> |
#<alt -1/4> |
#<alt (- (* 1/8 alpha) 1/4)> |
#<alt (- (* 1/8 alpha) 1/4)> |
#<alt (- (* 1/8 alpha) 1/4)> |
#<alt (* 1/8 alpha)> |
#<alt (* alpha (- 1/8 (* 1/4 (/ 1 alpha))))> |
#<alt (* alpha (- 1/8 (* 1/4 (/ 1 alpha))))> |
#<alt (* alpha (- 1/8 (* 1/4 (/ 1 alpha))))> |
#<alt (* 1/8 alpha)> |
#<alt (* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8)))> |
#<alt (* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8)))> |
#<alt (* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8)))> |
#<alt (/ 1 alpha)> |
#<alt (+ (/ 1 alpha) (/ beta alpha))> |
#<alt (+ (/ 1 alpha) (/ beta alpha))> |
#<alt (+ (/ 1 alpha) (/ beta alpha))> |
#<alt (/ beta alpha)> |
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))> |
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))> |
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))> |
#<alt (/ beta alpha)> |
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))> |
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))> |
#<alt (* beta (+ (/ 1 alpha) (/ 1 (* alpha beta))))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt (* 1/2 (/ (+ 2 (* 2 beta)) alpha))> |
#<alt 2> |
#<alt (+ 2 (* 2 beta))> |
#<alt (+ 2 (* 2 beta))> |
#<alt (+ 2 (* 2 beta))> |
#<alt (* 2 beta)> |
#<alt (* beta (+ 2 (* 2 (/ 1 beta))))> |
#<alt (* beta (+ 2 (* 2 (/ 1 beta))))> |
#<alt (* beta (+ 2 (* 2 (/ 1 beta))))> |
#<alt (* 2 beta)> |
#<alt (* beta (+ 2 (* 2 (/ 1 beta))))> |
#<alt (* beta (+ 2 (* 2 (/ 1 beta))))> |
#<alt (* beta (+ 2 (* 2 (/ 1 beta))))> |
#<alt (* 2 beta)> |
#<alt (* 2 beta)> |
#<alt (* 2 beta)> |
#<alt (* 2 beta)> |
#<alt (* 2 beta)> |
#<alt (* 2 beta)> |
#<alt (* 2 beta)> |
#<alt (* 2 beta)> |
#<alt (* 2 beta)> |
#<alt (* 2 beta)> |
#<alt (* 2 beta)> |
#<alt (* 2 beta)> |
#<alt (/ 1/2 alpha)> |
#<alt (/ 1/2 alpha)> |
#<alt (/ 1/2 alpha)> |
#<alt (/ 1/2 alpha)> |
#<alt (/ 1/2 alpha)> |
#<alt (/ 1/2 alpha)> |
#<alt (/ 1/2 alpha)> |
#<alt (/ 1/2 alpha)> |
#<alt (/ 1/2 alpha)> |
#<alt (/ 1/2 alpha)> |
#<alt (/ 1/2 alpha)> |
#<alt (/ 1/2 alpha)> |
#<alt (+ 1/2 (* 1/2 (- (* 2 (/ 1 alpha)) 1)))> |
#<alt (+ 1/2 (+ (* 1/2 (- (* 2 (/ 1 alpha)) 1)) (/ beta alpha)))> |
#<alt (+ 1/2 (+ (* 1/2 (- (* 2 (/ 1 alpha)) 1)) (/ beta alpha)))> |
#<alt (+ 1/2 (+ (* 1/2 (- (* 2 (/ 1 alpha)) 1)) (/ beta alpha)))> |
#<alt (/ beta alpha)> |
#<alt (* beta (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (+ (/ 1 alpha) (* 1/2 (/ 1 beta)))))> |
#<alt (* beta (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (+ (/ 1 alpha) (* 1/2 (/ 1 beta)))))> |
#<alt (* beta (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (+ (/ 1 alpha) (* 1/2 (/ 1 beta)))))> |
#<alt (/ beta alpha)> |
#<alt (* -1 (* beta (- (* -1 (/ (+ 1/2 (* 1/2 (- (* 2 (/ 1 alpha)) 1))) beta)) (/ 1 alpha))))> |
#<alt (* -1 (* beta (- (* -1 (/ (+ 1/2 (* 1/2 (- (* 2 (/ 1 alpha)) 1))) beta)) (/ 1 alpha))))> |
#<alt (* -1 (* beta (- (* -1 (/ (+ 1/2 (* 1/2 (- (* 2 (/ 1 alpha)) 1))) beta)) (/ 1 alpha))))> |
#<alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))> |
#<alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))> |
#<alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))> |
#<alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))> |
#<alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))> |
#<alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))> |
#<alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))> |
#<alt (* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha))> |
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha))> |
#<alt (- (* 2 (/ 1 alpha)) 1)> |
#<alt (- (+ (* 2 (/ 1 alpha)) (* 2 (/ beta alpha))) 1)> |
#<alt (- (+ (* 2 (/ 1 alpha)) (* 2 (/ beta alpha))) 1)> |
#<alt (- (+ (* 2 (/ 1 alpha)) (* 2 (/ beta alpha))) 1)> |
#<alt (* 2 (/ beta alpha))> |
#<alt (* beta (- (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta)))> |
#<alt (* beta (- (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta)))> |
#<alt (* beta (- (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta)))> |
#<alt (* 2 (/ beta alpha))> |
#<alt (* -1 (* beta (- (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* 2 (/ 1 alpha)))))> |
#<alt (* -1 (* beta (- (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* 2 (/ 1 alpha)))))> |
#<alt (* -1 (* beta (- (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* 2 (/ 1 alpha)))))> |
#<alt (/ (- beta (* -1 (+ 2 beta))) alpha)> |
#<alt (/ (- (+ beta (* -1 alpha)) (* -1 (+ 2 beta))) alpha)> |
#<alt (/ (- (+ beta (* -1 alpha)) (* -1 (+ 2 beta))) alpha)> |
#<alt (/ (- (+ beta (* -1 alpha)) (* -1 (+ 2 beta))) alpha)> |
#<alt -1> |
#<alt (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))> |
#<alt (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))> |
#<alt (- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha))))> |
#<alt -1> |
#<alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)> |
#<alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)> |
#<alt (- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1)> |
#<alt -1> |
#<alt (- (/ beta alpha) 1)> |
#<alt (- (/ beta alpha) 1)> |
#<alt (- (/ beta alpha) 1)> |
#<alt (/ beta alpha)> |
#<alt (* beta (- (/ 1 alpha) (/ 1 beta)))> |
#<alt (* beta (- (/ 1 alpha) (/ 1 beta)))> |
#<alt (* beta (- (/ 1 alpha) (/ 1 beta)))> |
#<alt (/ beta alpha)> |
#<alt (* -1 (* beta (- (/ 1 beta) (/ 1 alpha))))> |
#<alt (* -1 (* beta (- (/ 1 beta) (/ 1 alpha))))> |
#<alt (* -1 (* beta (- (/ 1 beta) (/ 1 alpha))))> |
#<alt (/ beta alpha)> |
#<alt (/ (+ beta (* -1 alpha)) alpha)> |
#<alt (/ (+ beta (* -1 alpha)) alpha)> |
#<alt (/ (+ beta (* -1 alpha)) alpha)> |
#<alt -1> |
#<alt (- (/ beta alpha) 1)> |
#<alt (- (/ beta alpha) 1)> |
#<alt (- (/ beta alpha) 1)> |
#<alt -1> |
#<alt (- (/ beta alpha) 1)> |
#<alt (- (/ beta alpha) 1)> |
#<alt (- (/ beta alpha) 1)> |
#<alt (/ beta alpha)> |
#<alt (/ beta alpha)> |
#<alt (/ beta alpha)> |
#<alt (/ beta alpha)> |
#<alt (/ beta alpha)> |
#<alt (/ beta alpha)> |
#<alt (/ beta alpha)> |
#<alt (/ beta alpha)> |
#<alt (/ beta alpha)> |
#<alt (/ beta alpha)> |
#<alt (/ beta alpha)> |
#<alt (/ beta alpha)> |
#<alt (/ beta alpha)> |
#<alt (/ beta alpha)> |
#<alt (/ beta alpha)> |
#<alt (/ beta alpha)> |
#<alt (/ beta alpha)> |
#<alt (/ beta alpha)> |
#<alt (/ beta alpha)> |
#<alt (/ beta alpha)> |
#<alt (/ beta alpha)> |
#<alt (/ beta alpha)> |
#<alt (/ beta alpha)> |
#<alt (/ beta alpha)> |
#<alt (/ -2 alpha)> |
#<alt (- (* -1 (/ beta alpha)) (* 2 (/ 1 alpha)))> |
#<alt (- (* -1 (/ beta alpha)) (* 2 (/ 1 alpha)))> |
#<alt (- (* -1 (/ beta alpha)) (* 2 (/ 1 alpha)))> |
#<alt (* -1 (/ beta alpha))> |
#<alt (* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))> |
#<alt (* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))> |
#<alt (* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))> |
#<alt (* -1 (/ beta alpha))> |
#<alt (* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))> |
#<alt (* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))> |
#<alt (* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta))))))> |
#<alt (* -1 (/ (+ 2 beta) alpha))> |
#<alt (* -1 (/ (+ 2 beta) alpha))> |
#<alt (* -1 (/ (+ 2 beta) alpha))> |
#<alt (* -1 (/ (+ 2 beta) alpha))> |
#<alt (* -1 (/ (+ 2 beta) alpha))> |
#<alt (* -1 (/ (+ 2 beta) alpha))> |
#<alt (* -1 (/ (+ 2 beta) alpha))> |
#<alt (* -1 (/ (+ 2 beta) alpha))> |
#<alt (* -1 (/ (+ 2 beta) alpha))> |
#<alt (* -1 (/ (+ 2 beta) alpha))> |
#<alt (* -1 (/ (+ 2 beta) alpha))> |
#<alt (* -1 (/ (+ 2 beta) alpha))> |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | alpha | @ | 0 | (+ (* (- (+ (/ beta alpha) -1) (/ (- -2 beta) alpha)) 1/2) 1/2) |
| 1.0ms | alpha | @ | inf | (+ (* (- (+ (/ beta alpha) -1) (/ (- -2 beta) alpha)) 1/2) 1/2) |
| 1.0ms | beta | @ | inf | (+ (* (- (+ (/ beta alpha) -1) (/ (- -2 beta) alpha)) 1/2) 1/2) |
| 1.0ms | beta | @ | 0 | (+ (* (- (+ (/ beta alpha) -1) (/ (- -2 beta) alpha)) 1/2) 1/2) |
| 1.0ms | alpha | @ | 0 | (* (+ 2 (+ beta beta)) (/ 1/2 alpha)) |
| 1× | batch-egg-rewrite |
| 5 346× | *-lowering-*.f32 |
| 5 346× | *-lowering-*.f64 |
| 3 820× | /-lowering-/.f32 |
| 3 820× | /-lowering-/.f64 |
| 2 414× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 33 | 96 |
| 1 | 221 | 96 |
| 2 | 2101 | 82 |
| 0 | 9131 | 77 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (/ (- beta alpha) (+ beta 2)) 1/2) 1/2) |
(/ (- beta alpha) (+ beta 2)) |
(- beta alpha) |
(+ beta 2) |
(+ (* -1/2 1) 1/2) |
(+ (* alpha (+ (* alpha 1/8) -1/4)) 1/2) |
(+ (* alpha 1/8) -1/4) |
(* (+ 2 (+ beta beta)) (/ 1/2 alpha)) |
(+ 2 (+ beta beta)) |
(+ beta beta) |
(/ 1/2 alpha) |
(+ (* (- (+ (/ beta alpha) -1) (/ (- -2 beta) alpha)) 1/2) 1/2) |
(- (+ (/ beta alpha) -1) (/ (- -2 beta) alpha)) |
(+ (/ beta alpha) -1) |
(/ beta alpha) |
(/ (- -2 beta) alpha) |
| Outputs |
|---|
(+.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 beta #s(literal 2 binary64)))) |
(+.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64))) (/.f64 #s(literal 1/4 binary64) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(fma.f64 (-.f64 beta alpha) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64))) (fma.f64 beta beta #s(literal 4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (fma.f64 beta beta #s(literal -4 binary64))) (+.f64 beta #s(literal -2 binary64)) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1/4 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1/4 binary64))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/4 binary64))))) |
(/.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 beta #s(literal 2 binary64))))) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1/4 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))) (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/4 binary64)))))) |
(/.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))) (neg.f64 (+.f64 #s(literal 1/4 binary64) (/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) (+.f64 beta #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1/4 binary64))) (neg.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(/.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 beta #s(literal 2 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64))) (*.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)) #s(literal 1/4 binary64))) (*.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/4 binary64))))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1/4 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1/4 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (neg.f64 (-.f64 #s(literal 1/2 binary64) (/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) |
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/4 binary64)))) (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)) (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1/4 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1/2 binary64) (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64))) |
(*.f64 (+.f64 #s(literal 1/8 binary64) (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) (-.f64 #s(literal 1/4 binary64) (*.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/4 binary64)))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64)) (*.f64 (-.f64 beta alpha) #s(literal 1/2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) #s(literal -1/4 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 beta #s(literal 2 binary64))) #s(literal -1/2 binary64)))) |
(*.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 1/2 binary64)) |
(+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (neg.f64 (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 beta alpha))) #s(literal -1 binary64))) |
(-.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64)))) |
(fma.f64 beta (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (neg.f64 (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))) |
(fma.f64 (/.f64 beta (fma.f64 beta (*.f64 beta beta) #s(literal 8 binary64))) (fma.f64 beta beta #s(literal 4 binary64)) (neg.f64 (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))) |
(fma.f64 (/.f64 beta (fma.f64 beta beta #s(literal -4 binary64))) (+.f64 beta #s(literal -2 binary64)) (neg.f64 (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 beta alpha) (-.f64 #s(literal -2 binary64) beta))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) (+.f64 beta #s(literal 2 binary64)))) |
(/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 beta alpha))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 beta alpha))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 beta alpha)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 beta alpha)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha)) (-.f64 #s(literal -2 binary64) beta)) |
(/.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))))) |
(/.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta alpha))) |
(/.f64 (-.f64 (*.f64 beta (+.f64 beta #s(literal 2 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) #s(literal 1 binary64)) (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (+.f64 beta #s(literal 2 binary64)))) |
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) #s(literal 1 binary64)) (*.f64 (+.f64 beta alpha) (+.f64 beta #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 beta alpha))) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) beta))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha))) (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha))) (neg.f64 (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta alpha)))) |
(/.f64 (-.f64 (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64))))) (/.f64 (*.f64 alpha (*.f64 alpha alpha)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (+.f64 beta #s(literal 2 binary64)))))) (fma.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (fma.f64 (/.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))) (*.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 beta (+.f64 beta #s(literal 2 binary64)))) (*.f64 (/.f64 alpha (+.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))) (+.f64 (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (/.f64 alpha (+.f64 beta #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 beta alpha) #s(literal 1 binary64)) (+.f64 beta #s(literal 2 binary64))) |
(/.f64 (*.f64 (*.f64 (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha))) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) (fma.f64 beta beta (*.f64 alpha (+.f64 beta alpha)))) |
(/.f64 (*.f64 (*.f64 (+.f64 beta alpha) (-.f64 beta alpha)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64)))) (+.f64 beta alpha)) |
(/.f64 (-.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal 0 binary64) alpha)) (-.f64 #s(literal -2 binary64) beta)) |
(/.f64 (-.f64 (*.f64 beta (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) (*.f64 (+.f64 beta #s(literal 2 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha))) |
(/.f64 (-.f64 (*.f64 beta (-.f64 #s(literal -2 binary64) beta)) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal 0 binary64) alpha))) (*.f64 (+.f64 beta #s(literal 2 binary64)) (-.f64 #s(literal -2 binary64) beta))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 beta #s(literal 2 binary64))) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) beta) alpha)) (*.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) beta) (+.f64 beta #s(literal 2 binary64)))) |
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(*.f64 (*.f64 (+.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) (+.f64 #s(literal -1 binary64) (/.f64 (-.f64 beta (-.f64 #s(literal -2 binary64) beta)) alpha))) (/.f64 #s(literal 1 binary64) (+.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)))) |
(+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) |
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha)) |
(-.f64 (/.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)))) |
(fma.f64 beta (/.f64 #s(literal 1 binary64) alpha) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 beta alpha) #s(literal -1 binary64)) |
(fma.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) alpha)) #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) alpha) beta #s(literal -1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) alpha) (pow.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta #s(literal -1 binary64)) alpha))) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta #s(literal -1 binary64)) alpha))) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) #s(literal -1 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha)))) (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta #s(literal -1 binary64)) alpha)))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 beta alpha) beta) (*.f64 beta #s(literal -1 binary64))) alpha))) |
(/.f64 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) #s(literal -1 binary64)) (+.f64 (/.f64 beta alpha) #s(literal 1 binary64))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha))))) (neg.f64 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta #s(literal -1 binary64)) alpha))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha))))) (neg.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 (/.f64 beta alpha) beta) (*.f64 beta #s(literal -1 binary64))) alpha)))) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) #s(literal -1 binary64))) (neg.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (-.f64 #s(literal -1 binary64) (/.f64 beta alpha))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (+.f64 (/.f64 beta alpha) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha)))))) (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta #s(literal -1 binary64)) alpha)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (neg.f64 (-.f64 #s(literal -1 binary64) (/.f64 beta alpha)))) |
(pow.f64 (/.f64 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta #s(literal -1 binary64)) alpha))) (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)) (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 (+.f64 #s(literal -1 binary64) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 beta #s(literal -1 binary64)) alpha))))) |
(*.f64 (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 beta alpha) #s(literal 1 binary64)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 alpha beta)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 beta (-.f64 #s(literal 0 binary64) alpha))) |
(neg.f64 (/.f64 (-.f64 #s(literal 0 binary64) beta) alpha)) |
(/.f64 beta alpha) |
(/.f64 #s(literal 1 binary64) (/.f64 alpha beta)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha beta) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 alpha beta)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 alpha beta))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 alpha beta) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 0 binary64) beta) (-.f64 #s(literal 0 binary64) alpha)) |
(/.f64 (*.f64 beta #s(literal 1 binary64)) alpha) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) beta)) (neg.f64 (-.f64 #s(literal 0 binary64) alpha))) |
(/.f64 (neg.f64 (*.f64 beta #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) alpha)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) beta))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) alpha)))) |
(pow.f64 (/.f64 alpha beta) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 alpha beta) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 beta (/.f64 #s(literal 1 binary64) alpha)) |
(*.f64 #s(literal 1 binary64) (/.f64 beta alpha)) |
(*.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) alpha))) |
(*.f64 (/.f64 #s(literal 1 binary64) alpha) beta) |
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (pow.f64 (/.f64 #s(literal 1 binary64) beta) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal -2 binary64) alpha) (neg.f64 (/.f64 beta alpha))) |
(+.f64 (/.f64 #s(literal -2 binary64) alpha) (*.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 #s(literal 1 binary64) alpha))) |
(exp.f64 (*.f64 (log.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) beta))) #s(literal -1 binary64))) |
(-.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 beta alpha)) |
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) alpha) (neg.f64 (/.f64 beta alpha))) |
(fma.f64 #s(literal -2 binary64) (/.f64 #s(literal 1 binary64) alpha) (*.f64 (-.f64 #s(literal 0 binary64) beta) (/.f64 #s(literal 1 binary64) alpha))) |
(neg.f64 (/.f64 (+.f64 beta #s(literal 2 binary64)) alpha)) |
(/.f64 #s(literal 1 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) beta)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) beta))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) beta)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) beta)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) beta)) (-.f64 #s(literal 0 binary64) alpha)) |
(/.f64 (-.f64 #s(literal -8 binary64) (*.f64 beta (*.f64 beta beta))) (*.f64 alpha (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (*.f64 alpha (+.f64 beta #s(literal -2 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) alpha) (*.f64 beta alpha)) (*.f64 alpha alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 alpha beta)) (*.f64 alpha #s(literal 1 binary64))) (*.f64 alpha (/.f64 alpha beta))) |
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) alpha)) (*.f64 alpha (-.f64 #s(literal 0 binary64) beta))) (*.f64 alpha (-.f64 #s(literal 0 binary64) alpha))) |
(/.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 1 binary64)) alpha) |
(/.f64 (*.f64 (-.f64 #s(literal -8 binary64) (*.f64 beta (*.f64 beta beta))) #s(literal 1 binary64)) (*.f64 (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) alpha)) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) #s(literal 1 binary64)) (*.f64 (+.f64 beta #s(literal -2 binary64)) alpha)) |
(/.f64 (neg.f64 (-.f64 #s(literal -8 binary64) (*.f64 beta (*.f64 beta beta)))) (neg.f64 (*.f64 alpha (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) (neg.f64 (*.f64 alpha (+.f64 beta #s(literal -2 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) beta))) (neg.f64 (-.f64 #s(literal 0 binary64) alpha))) |
(/.f64 (-.f64 (/.f64 #s(literal -8 binary64) (*.f64 alpha (*.f64 alpha alpha))) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha)))) (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -2 binary64) alpha) (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 beta alpha))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -2 binary64) alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha))) (+.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 beta alpha))) |
(/.f64 (*.f64 (-.f64 #s(literal -8 binary64) (*.f64 beta (*.f64 beta beta))) (/.f64 #s(literal 1 binary64) alpha)) (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) alpha)) (+.f64 beta #s(literal -2 binary64))) |
(/.f64 (-.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) beta)) (-.f64 #s(literal 0 binary64) alpha)) |
(/.f64 (-.f64 #s(literal -2 binary64) (*.f64 beta #s(literal 1 binary64))) alpha) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) alpha) (*.f64 (-.f64 #s(literal 0 binary64) alpha) beta)) (*.f64 (-.f64 #s(literal 0 binary64) alpha) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 alpha beta)) (*.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 alpha beta))) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (/.f64 (/.f64 alpha beta) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (/.f64 (/.f64 alpha beta) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (/.f64 alpha beta))) (*.f64 (-.f64 #s(literal 0 binary64) alpha) #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (neg.f64 (/.f64 alpha beta)))) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (-.f64 #s(literal 0 binary64) alpha)) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (-.f64 #s(literal 0 binary64) beta))) (*.f64 alpha alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) alpha) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (*.f64 beta #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 0 binary64) alpha) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) alpha))) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (neg.f64 (-.f64 #s(literal 0 binary64) beta)))) (*.f64 (-.f64 #s(literal 0 binary64) alpha) (neg.f64 (-.f64 #s(literal 0 binary64) alpha)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) alpha) (*.f64 (/.f64 alpha #s(literal -2 binary64)) beta)) (*.f64 (/.f64 alpha #s(literal -2 binary64)) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 alpha beta)) (*.f64 (/.f64 alpha #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 alpha #s(literal -2 binary64)) (/.f64 alpha beta))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (/.f64 (/.f64 alpha beta) #s(literal 1 binary64))) (*.f64 (/.f64 alpha #s(literal -2 binary64)) #s(literal 1 binary64))) (*.f64 (/.f64 alpha #s(literal -2 binary64)) (/.f64 (/.f64 alpha beta) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (/.f64 alpha beta))) (*.f64 (/.f64 alpha #s(literal -2 binary64)) #s(literal -1 binary64))) (*.f64 (/.f64 alpha #s(literal -2 binary64)) (neg.f64 (/.f64 alpha beta)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) alpha)) (*.f64 (/.f64 alpha #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) beta))) (*.f64 (/.f64 alpha #s(literal -2 binary64)) (-.f64 #s(literal 0 binary64) alpha))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) alpha) (*.f64 (/.f64 alpha #s(literal -2 binary64)) (*.f64 beta #s(literal 1 binary64)))) (*.f64 (/.f64 alpha #s(literal -2 binary64)) alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) alpha))) (*.f64 (/.f64 alpha #s(literal -2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) beta)))) (*.f64 (/.f64 alpha #s(literal -2 binary64)) (neg.f64 (-.f64 #s(literal 0 binary64) alpha)))) |
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 (/.f64 alpha beta) #s(literal 1 binary64))) (*.f64 alpha #s(literal 1 binary64))) (*.f64 alpha (/.f64 (/.f64 alpha beta) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (/.f64 alpha beta))) (*.f64 alpha #s(literal -1 binary64))) (*.f64 alpha (neg.f64 (/.f64 alpha beta)))) |
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) alpha) (*.f64 alpha (*.f64 beta #s(literal 1 binary64)))) (*.f64 alpha alpha)) |
(/.f64 (-.f64 (*.f64 #s(literal -2 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) alpha))) (*.f64 alpha (neg.f64 (-.f64 #s(literal 0 binary64) beta)))) (*.f64 alpha (neg.f64 (-.f64 #s(literal 0 binary64) alpha)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -2 binary64) beta) #s(literal 1 binary64))) (-.f64 #s(literal 0 binary64) alpha)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) beta)))) (neg.f64 (neg.f64 (-.f64 #s(literal 0 binary64) alpha)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) alpha) (*.f64 beta alpha))) (neg.f64 (*.f64 alpha alpha))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) (/.f64 alpha beta)) (*.f64 alpha #s(literal 1 binary64)))) (neg.f64 (*.f64 alpha (/.f64 alpha beta)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 #s(literal -2 binary64) (-.f64 #s(literal 0 binary64) alpha)) (*.f64 alpha (-.f64 #s(literal 0 binary64) beta)))) (neg.f64 (*.f64 alpha (-.f64 #s(literal 0 binary64) alpha)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -8 binary64) (*.f64 beta (*.f64 beta beta))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)) alpha))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 beta #s(literal -2 binary64)) alpha))) |
(/.f64 (neg.f64 (-.f64 (/.f64 #s(literal -8 binary64) (*.f64 alpha (*.f64 alpha alpha))) (/.f64 (*.f64 beta (*.f64 beta beta)) (*.f64 alpha (*.f64 alpha alpha))))) (neg.f64 (fma.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -2 binary64) alpha) (+.f64 (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)) (*.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 beta alpha)))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal -2 binary64) alpha)) (/.f64 (*.f64 beta beta) (*.f64 alpha alpha)))) (neg.f64 (+.f64 (/.f64 #s(literal -2 binary64) alpha) (/.f64 beta alpha)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal -8 binary64) (*.f64 beta (*.f64 beta beta))) (/.f64 #s(literal 1 binary64) alpha))) (neg.f64 (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 #s(literal 4 binary64) (*.f64 beta beta)) (/.f64 #s(literal 1 binary64) alpha))) (neg.f64 (+.f64 beta #s(literal -2 binary64)))) |
(pow.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) beta)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 alpha (-.f64 #s(literal -2 binary64) beta)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) |
(*.f64 (-.f64 #s(literal -2 binary64) beta) (/.f64 #s(literal 1 binary64) alpha)) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal -2 binary64) beta)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) alpha))) |
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (-.f64 #s(literal -2 binary64) beta)) |
(*.f64 (/.f64 #s(literal 1 binary64) alpha) (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -2 binary64) beta)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal -8 binary64) (*.f64 beta (*.f64 beta beta)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 beta (+.f64 beta #s(literal -2 binary64)) #s(literal 4 binary64)))) |
(*.f64 (pow.f64 (/.f64 alpha (-.f64 #s(literal 4 binary64) (*.f64 beta beta))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 beta #s(literal -2 binary64)))) |
| 1× | egg-herbie |
| 12 556× | accelerator-lowering-fma.f32 |
| 12 556× | accelerator-lowering-fma.f64 |
| 4 462× | *-lowering-*.f32 |
| 4 462× | *-lowering-*.f64 |
| 2 830× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 241 | 2094 |
| 1 | 742 | 2025 |
| 2 | 2150 | 1781 |
| 3 | 6949 | 1779 |
| 0 | 8123 | 1669 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ 1/2 (* -1/4 alpha)) |
(+ 1/2 (+ (* -1/4 alpha) (* 1/2 (* beta (- 1/2 (* -1/4 alpha)))))) |
(+ 1/2 (+ (* -1/4 alpha) (* beta (+ (* -1/4 (* beta (- 1/2 (* -1/4 alpha)))) (* 1/2 (- 1/2 (* -1/4 alpha))))))) |
(+ 1/2 (+ (* -1/4 alpha) (* beta (+ (* 1/2 (- 1/2 (* -1/4 alpha))) (* beta (+ (* -1/4 (- 1/2 (* -1/4 alpha))) (* 1/8 (* beta (- 1/2 (* -1/4 alpha)))))))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) 2) beta))) |
(+ 1 (+ (* -1 (/ (- (* -1 alpha) 2) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) 2) beta)))) |
(+ 1 (+ (* -1 (/ (- (* -1 alpha) 2) (pow beta 2))) (+ (* 1/2 (/ (- (* -1 alpha) 2) beta)) (* 2 (/ (- (* -1 alpha) 2) (pow beta 3)))))) |
1 |
(+ 1 (* 1/2 (/ (- (* -1 alpha) 2) beta))) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ alpha beta)) (* -1/2 (- (* -1 alpha) 2))) (* 2 (/ 1 beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta)) (* -1/2 (- (* -1 alpha) 2))) beta))) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (/ beta (+ 2 beta))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (/ beta (+ 2 beta))))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (/ beta (+ 2 beta))))) |
(* -1/2 (/ alpha (+ 2 beta))) |
(* alpha (- (+ (* 1/2 (/ beta (* alpha (+ 2 beta)))) (* 1/2 (/ 1 alpha))) (* 1/2 (/ 1 (+ 2 beta))))) |
(* alpha (- (+ (* 1/2 (/ beta (* alpha (+ 2 beta)))) (* 1/2 (/ 1 alpha))) (* 1/2 (/ 1 (+ 2 beta))))) |
(* alpha (- (+ (* 1/2 (/ beta (* alpha (+ 2 beta)))) (* 1/2 (/ 1 alpha))) (* 1/2 (/ 1 (+ 2 beta))))) |
(* -1/2 (/ alpha (+ 2 beta))) |
(* -1 (* alpha (+ (* -1 (/ (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) alpha)) (* 1/2 (/ 1 (+ 2 beta)))))) |
(* -1 (* alpha (+ (* -1 (/ (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) alpha)) (* 1/2 (/ 1 (+ 2 beta)))))) |
(* -1 (* alpha (+ (* -1 (/ (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) alpha)) (* 1/2 (/ 1 (+ 2 beta)))))) |
(* -1/2 alpha) |
(+ (* -1/2 alpha) (* beta (- 1/2 (* -1/4 alpha)))) |
(+ (* -1/2 alpha) (* beta (- (+ 1/2 (* -1/2 (* beta (- 1/2 (* -1/4 alpha))))) (* -1/4 alpha)))) |
(+ (* -1/2 alpha) (* beta (- (+ 1/2 (* beta (- (* 1/4 (* beta (- 1/2 (* -1/4 alpha)))) (* 1/2 (- 1/2 (* -1/4 alpha)))))) (* -1/4 alpha)))) |
1 |
(- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ 1 beta))) |
(- (+ 1 (+ (* -2 (/ (- (* -1 alpha) 2) (pow beta 2))) (* -1 (/ alpha beta)))) (* 2 (/ 1 beta))) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* 4 (/ (- (* -1 alpha) 2) (pow beta 3))))) (+ (* 2 (/ (- (* -1 alpha) 2) (pow beta 2))) (* 2 (/ 1 beta)))) |
1 |
(- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ 1 beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* -1 (/ (+ (* -2 (- (* -1 alpha) 2)) (* 4 (/ (- (* -1 alpha) 2) beta))) beta))) beta))) |
(/ beta (+ 2 beta)) |
(+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta))) |
(+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta))) |
(+ (* -1 (/ alpha (+ 2 beta))) (/ beta (+ 2 beta))) |
(* -1 (/ alpha (+ 2 beta))) |
(* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta)))) |
(* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta)))) |
(* alpha (- (/ beta (* alpha (+ 2 beta))) (/ 1 (+ 2 beta)))) |
(* -1 (/ alpha (+ 2 beta))) |
(* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta))))) |
(* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta))))) |
(* -1 (* alpha (+ (* -1 (/ beta (* alpha (+ 2 beta)))) (/ 1 (+ 2 beta))))) |
(* -1 alpha) |
(- beta alpha) |
(- beta alpha) |
(- beta alpha) |
beta |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
(* beta (+ 1 (* -1 (/ alpha beta)))) |
beta |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
(* -1 (* beta (- (/ alpha beta) 1))) |
beta |
(+ beta (* -1 alpha)) |
(+ beta (* -1 alpha)) |
(+ beta (* -1 alpha)) |
(* -1 alpha) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (- (/ beta alpha) 1)) |
(* alpha (- (/ beta alpha) 1)) |
(* -1 alpha) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
(* -1 (* alpha (+ 1 (* -1 (/ beta alpha))))) |
2 |
(+ 2 beta) |
(+ 2 beta) |
(+ 2 beta) |
beta |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
beta |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
(* beta (+ 1 (* 2 (/ 1 beta)))) |
1/2 |
(+ 1/2 (* -1/4 alpha)) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(+ 1/2 (* alpha (- (* 1/8 alpha) 1/4))) |
(* 1/8 (pow alpha 2)) |
(* (pow alpha 2) (- 1/8 (* 1/4 (/ 1 alpha)))) |
(* (pow alpha 2) (- (+ 1/8 (/ 1/2 (pow alpha 2))) (* 1/4 (/ 1 alpha)))) |
(* (pow alpha 2) (- (+ 1/8 (/ 1/2 (pow alpha 2))) (* 1/4 (/ 1 alpha)))) |
(* 1/8 (pow alpha 2)) |
(* (pow alpha 2) (- 1/8 (* 1/4 (/ 1 alpha)))) |
(* (pow alpha 2) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 alpha))) alpha)))) |
(* (pow alpha 2) (+ 1/8 (* -1 (/ (- 1/4 (* 1/2 (/ 1 alpha))) alpha)))) |
-1/4 |
(- (* 1/8 alpha) 1/4) |
(- (* 1/8 alpha) 1/4) |
(- (* 1/8 alpha) 1/4) |
(* 1/8 alpha) |
(* alpha (- 1/8 (* 1/4 (/ 1 alpha)))) |
(* alpha (- 1/8 (* 1/4 (/ 1 alpha)))) |
(* alpha (- 1/8 (* 1/4 (/ 1 alpha)))) |
(* 1/8 alpha) |
(* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8))) |
(* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8))) |
(* -1 (* alpha (- (* 1/4 (/ 1 alpha)) 1/8))) |
(/ 1 alpha) |
(+ (/ 1 alpha) (/ beta alpha)) |
(+ (/ 1 alpha) (/ beta alpha)) |
(+ (/ 1 alpha) (/ beta alpha)) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(/ beta alpha) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* beta (+ (/ 1 alpha) (/ 1 (* alpha beta)))) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
(* 1/2 (/ (+ 2 (* 2 beta)) alpha)) |
2 |
(+ 2 (* 2 beta)) |
(+ 2 (* 2 beta)) |
(+ 2 (* 2 beta)) |
(* 2 beta) |
(* beta (+ 2 (* 2 (/ 1 beta)))) |
(* beta (+ 2 (* 2 (/ 1 beta)))) |
(* beta (+ 2 (* 2 (/ 1 beta)))) |
(* 2 beta) |
(* beta (+ 2 (* 2 (/ 1 beta)))) |
(* beta (+ 2 (* 2 (/ 1 beta)))) |
(* beta (+ 2 (* 2 (/ 1 beta)))) |
(* 2 beta) |
(* 2 beta) |
(* 2 beta) |
(* 2 beta) |
(* 2 beta) |
(* 2 beta) |
(* 2 beta) |
(* 2 beta) |
(* 2 beta) |
(* 2 beta) |
(* 2 beta) |
(* 2 beta) |
(/ 1/2 alpha) |
(/ 1/2 alpha) |
(/ 1/2 alpha) |
(/ 1/2 alpha) |
(/ 1/2 alpha) |
(/ 1/2 alpha) |
(/ 1/2 alpha) |
(/ 1/2 alpha) |
(/ 1/2 alpha) |
(/ 1/2 alpha) |
(/ 1/2 alpha) |
(/ 1/2 alpha) |
(+ 1/2 (* 1/2 (- (* 2 (/ 1 alpha)) 1))) |
(+ 1/2 (+ (* 1/2 (- (* 2 (/ 1 alpha)) 1)) (/ beta alpha))) |
(+ 1/2 (+ (* 1/2 (- (* 2 (/ 1 alpha)) 1)) (/ beta alpha))) |
(+ 1/2 (+ (* 1/2 (- (* 2 (/ 1 alpha)) 1)) (/ beta alpha))) |
(/ beta alpha) |
(* beta (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (+ (/ 1 alpha) (* 1/2 (/ 1 beta))))) |
(* beta (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (+ (/ 1 alpha) (* 1/2 (/ 1 beta))))) |
(* beta (+ (* 1/2 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (+ (/ 1 alpha) (* 1/2 (/ 1 beta))))) |
(/ beta alpha) |
(* -1 (* beta (- (* -1 (/ (+ 1/2 (* 1/2 (- (* 2 (/ 1 alpha)) 1))) beta)) (/ 1 alpha)))) |
(* -1 (* beta (- (* -1 (/ (+ 1/2 (* 1/2 (- (* 2 (/ 1 alpha)) 1))) beta)) (/ 1 alpha)))) |
(* -1 (* beta (- (* -1 (/ (+ 1/2 (* 1/2 (- (* 2 (/ 1 alpha)) 1))) beta)) (/ 1 alpha)))) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(* 1/2 (/ (- beta (* -1 (+ 2 beta))) alpha)) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(* -1/2 (/ (- (* -1 beta) (+ 2 beta)) alpha)) |
(- (* 2 (/ 1 alpha)) 1) |
(- (+ (* 2 (/ 1 alpha)) (* 2 (/ beta alpha))) 1) |
(- (+ (* 2 (/ 1 alpha)) (* 2 (/ beta alpha))) 1) |
(- (+ (* 2 (/ 1 alpha)) (* 2 (/ beta alpha))) 1) |
(* 2 (/ beta alpha)) |
(* beta (- (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta))) |
(* beta (- (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta))) |
(* beta (- (+ (* 2 (/ 1 alpha)) (/ 2 (* alpha beta))) (/ 1 beta))) |
(* 2 (/ beta alpha)) |
(* -1 (* beta (- (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* 2 (/ 1 alpha))))) |
(* -1 (* beta (- (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* 2 (/ 1 alpha))))) |
(* -1 (* beta (- (* -1 (/ (- (* 2 (/ 1 alpha)) 1) beta)) (* 2 (/ 1 alpha))))) |
(/ (- beta (* -1 (+ 2 beta))) alpha) |
(/ (- (+ beta (* -1 alpha)) (* -1 (+ 2 beta))) alpha) |
(/ (- (+ beta (* -1 alpha)) (* -1 (+ 2 beta))) alpha) |
(/ (- (+ beta (* -1 alpha)) (* -1 (+ 2 beta))) alpha) |
-1 |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
(- (/ beta alpha) (+ 1 (* -1 (/ (+ 2 beta) alpha)))) |
-1 |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
(- (* -1 (/ (- (* -1 beta) (+ 2 beta)) alpha)) 1) |
-1 |
(- (/ beta alpha) 1) |
(- (/ beta alpha) 1) |
(- (/ beta alpha) 1) |
(/ beta alpha) |
(* beta (- (/ 1 alpha) (/ 1 beta))) |
(* beta (- (/ 1 alpha) (/ 1 beta))) |
(* beta (- (/ 1 alpha) (/ 1 beta))) |
(/ beta alpha) |
(* -1 (* beta (- (/ 1 beta) (/ 1 alpha)))) |
(* -1 (* beta (- (/ 1 beta) (/ 1 alpha)))) |
(* -1 (* beta (- (/ 1 beta) (/ 1 alpha)))) |
(/ beta alpha) |
(/ (+ beta (* -1 alpha)) alpha) |
(/ (+ beta (* -1 alpha)) alpha) |
(/ (+ beta (* -1 alpha)) alpha) |
-1 |
(- (/ beta alpha) 1) |
(- (/ beta alpha) 1) |
(- (/ beta alpha) 1) |
-1 |
(- (/ beta alpha) 1) |
(- (/ beta alpha) 1) |
(- (/ beta alpha) 1) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ beta alpha) |
(/ -2 alpha) |
(- (* -1 (/ beta alpha)) (* 2 (/ 1 alpha))) |
(- (* -1 (/ beta alpha)) (* 2 (/ 1 alpha))) |
(- (* -1 (/ beta alpha)) (* 2 (/ 1 alpha))) |
(* -1 (/ beta alpha)) |
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta)))))) |
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta)))))) |
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta)))))) |
(* -1 (/ beta alpha)) |
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta)))))) |
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta)))))) |
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta)))))) |
(* -1 (/ (+ 2 beta) alpha)) |
(* -1 (/ (+ 2 beta) alpha)) |
(* -1 (/ (+ 2 beta) alpha)) |
(* -1 (/ (+ 2 beta) alpha)) |
(* -1 (/ (+ 2 beta) alpha)) |
(* -1 (/ (+ 2 beta) alpha)) |
(* -1 (/ (+ 2 beta) alpha)) |
(* -1 (/ (+ 2 beta) alpha)) |
(* -1 (/ (+ 2 beta) alpha)) |
(* -1 (/ (+ 2 beta) alpha)) |
(* -1 (/ (+ 2 beta) alpha)) |
(* -1 (/ (+ 2 beta) alpha)) |
| Outputs |
|---|
(+ 1/2 (* -1/4 alpha)) |
(fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/4 alpha) (* 1/2 (* beta (- 1/2 (* -1/4 alpha)))))) |
(fma.f64 #s(literal -1/4 binary64) alpha (fma.f64 beta (fma.f64 alpha #s(literal 1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/4 alpha) (* beta (+ (* -1/4 (* beta (- 1/2 (* -1/4 alpha)))) (* 1/2 (- 1/2 (* -1/4 alpha))))))) |
(fma.f64 #s(literal -1/4 binary64) alpha (fma.f64 (*.f64 beta (fma.f64 alpha #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (fma.f64 #s(literal -1/4 binary64) beta #s(literal 1/2 binary64)) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/4 alpha) (* beta (+ (* 1/2 (- 1/2 (* -1/4 alpha))) (* beta (+ (* -1/4 (- 1/2 (* -1/4 alpha))) (* 1/8 (* beta (- 1/2 (* -1/4 alpha)))))))))) |
(fma.f64 beta (fma.f64 (fma.f64 alpha #s(literal 1/4 binary64) #s(literal 1/2 binary64)) (*.f64 (fma.f64 beta #s(literal 1/8 binary64) #s(literal -1/4 binary64)) beta) (fma.f64 alpha #s(literal 1/8 binary64) #s(literal 1/4 binary64))) (fma.f64 #s(literal -1/4 binary64) alpha #s(literal 1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) 2) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (- (* -1 alpha) 2) (pow beta 2))) (* 1/2 (/ (- (* -1 alpha) 2) beta)))) |
(fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (+.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -1 binary64) beta)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (- (* -1 alpha) 2) (pow beta 2))) (+ (* 1/2 (/ (- (* -1 alpha) 2) beta)) (* 2 (/ (- (* -1 alpha) 2) (pow beta 3)))))) |
(+.f64 (/.f64 (fma.f64 alpha #s(literal -1/2 binary64) #s(literal -1 binary64)) beta) (fma.f64 (/.f64 (-.f64 #s(literal -2 binary64) alpha) (*.f64 beta beta)) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 2 binary64) beta)) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* 1/2 (/ (- (* -1 alpha) 2) beta))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ (* -1 (/ alpha beta)) (* -1/2 (- (* -1 alpha) 2))) (* 2 (/ 1 beta))) beta))) |
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) alpha) (/.f64 (+.f64 alpha #s(literal 2 binary64)) beta)) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta)) (* -1/2 (- (* -1 alpha) 2))) beta))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (fma.f64 #s(literal 1/2 binary64) alpha #s(literal 1 binary64))) beta)) |
(+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal 1/2 binary64)) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (/ beta (+ 2 beta))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (/ beta (+ 2 beta))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal 1/2 binary64))) |
(+ 1/2 (+ (* -1/2 (/ alpha (+ 2 beta))) (* 1/2 (/ beta (+ 2 beta))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) beta)) (fma.f64 #s(literal -1/2 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal 1/2 binary64))) |
(* -1/2 (/ alpha (+ 2 beta))) |
(/.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 beta #s(literal 2 binary64))) |
(* alpha (- (+ (* 1/2 (/ beta (* alpha (+ 2 beta)))) (* 1/2 (/ 1 alpha))) (* 1/2 (/ 1 (+ 2 beta))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 (/.f64 #s(literal 1/2 binary64) alpha) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) beta))))) |
(* alpha (- (+ (* 1/2 (/ beta (* alpha (+ 2 beta)))) (* 1/2 (/ 1 alpha))) (* 1/2 (/ 1 (+ 2 beta))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 (/.f64 #s(literal 1/2 binary64) alpha) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) beta))))) |
(* alpha (- (+ (* 1/2 (/ beta (* alpha (+ 2 beta)))) (* 1/2 (/ 1 alpha))) (* 1/2 (/ 1 (+ 2 beta))))) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) (*.f64 alpha (+.f64 (/.f64 #s(literal 1/2 binary64) alpha) (/.f64 #s(literal 1/2 binary64) (-.f64 #s(literal -2 binary64) beta))))) |
(* -1/2 (/ alpha (+ 2 beta))) |
(/.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 beta #s(literal 2 binary64))) |
(* -1 (* alpha (+ (* -1 (/ (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) alpha)) (* 1/2 (/ 1 (+ 2 beta)))))) |
(-.f64 (/.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(* -1 (* alpha (+ (* -1 (/ (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) alpha)) (* 1/2 (/ 1 (+ 2 beta)))))) |
(-.f64 (/.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(* -1 (* alpha (+ (* -1 (/ (+ 1/2 (* 1/2 (/ beta (+ 2 beta)))) alpha)) (* 1/2 (/ 1 (+ 2 beta)))))) |
(-.f64 (/.f64 (*.f64 alpha #s(literal -1/2 binary64)) (+.f64 beta #s(literal 2 binary64))) (*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (-.f64 #s(literal -2 binary64) beta)) #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(* -1/2 alpha) |
(*.f64 alpha #s(literal -1/2 binary64)) |
(+ (* -1/2 alpha) (* beta (- 1/2 (* -1/4 alpha)))) |
(fma.f64 alpha #s(literal -1/2 binary64) (*.f64 beta (fma.f64 alpha #s(literal 1/4 binary64) #s(literal 1/2 binary64)))) |
(+ (* -1/2 alpha) (* beta (- (+ 1/2 (* -1/2 (* beta (- 1/2 (* -1/4 alpha))))) (* -1/4 alpha)))) |
(fma.f64 beta (*.f64 (fma.f64 beta #s(literal -1/2 binary64) #s(literal 1 binary64)) (fma.f64 alpha #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (*.f64 alpha #s(literal -1/2 binary64))) |
(+ (* -1/2 alpha) (* beta (- (+ 1/2 (* beta (- (* 1/4 (* beta (- 1/2 (* -1/4 alpha)))) (* 1/2 (- 1/2 (* -1/4 alpha)))))) (* -1/4 alpha)))) |
(fma.f64 beta (fma.f64 alpha #s(literal 1/4 binary64) (fma.f64 (*.f64 beta (fma.f64 alpha #s(literal 1/4 binary64) #s(literal 1/2 binary64))) (fma.f64 beta #s(literal 1/4 binary64) #s(literal -1/2 binary64)) #s(literal 1/2 binary64))) (*.f64 alpha #s(literal -1/2 binary64))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ 1 beta))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) |
(- (+ 1 (+ (* -2 (/ (- (* -1 alpha) 2) (pow beta 2))) (* -1 (/ alpha beta)))) (* 2 (/ 1 beta))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ alpha beta)) (* 4 (/ (- (* -1 alpha) 2) (pow beta 3))))) (+ (* 2 (/ (- (* -1 alpha) 2) (pow beta 2))) (* 2 (/ 1 beta)))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) (fma.f64 (-.f64 #s(literal -2 binary64) alpha) (/.f64 #s(literal 4 binary64) (*.f64 beta (*.f64 beta beta))) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ alpha beta))) (* 2 (/ 1 beta))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* 2 (/ (- (* -1 alpha) 2) beta))) beta))) |
(fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) beta)) (/.f64 (-.f64 #s(literal -2 binary64) alpha) beta) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 alpha) 2)) (* -1 (/ (+ (* -2 (- (* -1 alpha) 2)) (* 4 (/ (- (* -1 alpha) 2) beta))) beta))) beta))) |
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(+.f64 #s(literal -1 binary64) (/.f64 beta alpha)) |
(- (/ beta alpha) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha)) |
(/ beta alpha) |
(/.f64 beta alpha) |
(* beta (- (/ 1 alpha) (/ 1 beta))) |
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha)) |
(* beta (- (/ 1 alpha) (/ 1 beta))) |
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha)) |
(* beta (- (/ 1 alpha) (/ 1 beta))) |
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha)) |
(/ beta alpha) |
(/.f64 beta alpha) |
(* -1 (* beta (- (/ 1 beta) (/ 1 alpha)))) |
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha)) |
(* -1 (* beta (- (/ 1 beta) (/ 1 alpha)))) |
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha)) |
(* -1 (* beta (- (/ 1 beta) (/ 1 alpha)))) |
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha)) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ (+ beta (* -1 alpha)) alpha) |
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha)) |
(/ (+ beta (* -1 alpha)) alpha) |
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha)) |
(/ (+ beta (* -1 alpha)) alpha) |
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha)) |
-1 |
#s(literal -1 binary64) |
(- (/ beta alpha) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha)) |
(- (/ beta alpha) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha)) |
(- (/ beta alpha) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha)) |
-1 |
#s(literal -1 binary64) |
(- (/ beta alpha) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha)) |
(- (/ beta alpha) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha)) |
(- (/ beta alpha) 1) |
(+.f64 #s(literal -1 binary64) (/.f64 beta alpha)) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ beta alpha) |
(/.f64 beta alpha) |
(/ -2 alpha) |
(/.f64 #s(literal -2 binary64) alpha) |
(- (* -1 (/ beta alpha)) (* 2 (/ 1 alpha))) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(- (* -1 (/ beta alpha)) (* 2 (/ 1 alpha))) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(- (* -1 (/ beta alpha)) (* 2 (/ 1 alpha))) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(* -1 (/ beta alpha)) |
(-.f64 #s(literal 0 binary64) (/.f64 beta alpha)) |
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta)))))) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta)))))) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta)))))) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(* -1 (/ beta alpha)) |
(-.f64 #s(literal 0 binary64) (/.f64 beta alpha)) |
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta)))))) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta)))))) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(* -1 (* beta (+ (/ 1 alpha) (* 2 (/ 1 (* alpha beta)))))) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(* -1 (/ (+ 2 beta) alpha)) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(* -1 (/ (+ 2 beta) alpha)) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(* -1 (/ (+ 2 beta) alpha)) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(* -1 (/ (+ 2 beta) alpha)) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(* -1 (/ (+ 2 beta) alpha)) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(* -1 (/ (+ 2 beta) alpha)) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(* -1 (/ (+ 2 beta) alpha)) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(* -1 (/ (+ 2 beta) alpha)) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(* -1 (/ (+ 2 beta) alpha)) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(* -1 (/ (+ 2 beta) alpha)) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(* -1 (/ (+ 2 beta) alpha)) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
(* -1 (/ (+ 2 beta) alpha)) |
(/.f64 (-.f64 #s(literal -2 binary64) beta) alpha) |
Compiled 23 375 to 2 547 computations (89.1% saved)
26 alts after pruning (18 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 894 | 3 | 897 |
| Fresh | 0 | 15 | 15 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 5 | 5 |
| Total | 896 | 26 | 922 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 70.6% | (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| 47.6% | (fma.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64))) (/.f64 alpha (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 alpha alpha #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64)) | |
| ✓ | 4.2% | (fma.f64 (-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| 46.0% | (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) | |
| 44.9% | (fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) | |
| ✓ | 43.9% | (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
| 44.9% | (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) | |
| 46.4% | (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) | |
| ✓ | 47.2% | (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
| 46.4% | (fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)) | |
| ✓ | 71.7% | (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
| ✓ | 48.6% | (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
| 30.0% | (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha) | |
| 30.4% | (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) | |
| 44.3% | (/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)))) | |
| 47.8% | (/.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (fma.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal -2 binary64))) | |
| 31.0% | (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) | |
| 29.8% | (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 beta (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (+.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha))) alpha) | |
| 25.2% | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) | |
| 15.5% | (/.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)) beta) (/.f64 #s(literal -1 binary64) alpha))) alpha) | |
| 8.4% | (/.f64 beta alpha) | |
| 26.6% | (/.f64 #s(literal 1 binary64) alpha) | |
| 30.9% | (*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha)) | |
| ✓ | 37.2% | #s(literal 1 binary64) |
| ✓ | 48.3% | #s(literal 1/2 binary64) |
| 3.6% | #s(literal 0 binary64) |
Compiled 887 to 377 computations (57.5% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) alpha) |
(/.f64 beta alpha) |
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) alpha)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 beta (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (+.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha))) alpha) |
(/.f64 (+.f64 (/.f64 (*.f64 alpha alpha) (*.f64 (+.f64 alpha #s(literal 2 binary64)) (+.f64 alpha #s(literal 2 binary64)))) #s(literal -1 binary64)) (fma.f64 (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal -2 binary64) #s(literal -2 binary64))) |
(fma.f64 (/.f64 #s(literal -1/2 binary64) (fma.f64 alpha (*.f64 alpha alpha) #s(literal 8 binary64))) (/.f64 alpha (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 alpha alpha #s(literal 4 binary64)) (*.f64 alpha #s(literal 2 binary64))))) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64))) |
(*.f64 (+.f64 (/.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (+.f64 beta (+.f64 alpha #s(literal 2 binary64))) (+.f64 beta (+.f64 alpha #s(literal 2 binary64))))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal -2 binary64)))) |
(/.f64 (*.f64 (*.f64 beta beta) (+.f64 (/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -3 binary64) alpha)) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) beta)) beta) (/.f64 #s(literal -1 binary64) alpha))) alpha) |
(/.f64 (fma.f64 (/.f64 (/.f64 (*.f64 (+.f64 beta alpha) (-.f64 alpha beta)) (*.f64 (-.f64 beta alpha) (+.f64 beta alpha))) (fma.f64 (+.f64 beta alpha) (*.f64 (+.f64 beta alpha) (+.f64 beta alpha)) #s(literal 8 binary64))) (/.f64 (-.f64 alpha beta) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 (+.f64 beta alpha) (+.f64 beta alpha) #s(literal 4 binary64)) (*.f64 (+.f64 beta alpha) #s(literal -2 binary64))))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (+.f64 (/.f64 (*.f64 (*.f64 (-.f64 beta alpha) (-.f64 beta alpha)) (*.f64 (-.f64 beta alpha) (-.f64 beta alpha))) (*.f64 (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))))) #s(literal -1 binary64)) (*.f64 (fma.f64 #s(literal 2 binary64) (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -2 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 (-.f64 beta alpha) (*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha)))) #s(literal 1 binary64)))) |
| Outputs |
|---|
(/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 beta (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (+.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha))) alpha) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
5 calls:
| 13.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 11.0ms | beta |
| 11.0ms | alpha |
| 10.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 9.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.7% | 2 | alpha |
| 72.9% | 1 | beta |
| 99.9% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 99.9% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.9% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 45 to 30 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) alpha) |
(/.f64 beta alpha) |
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) alpha)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) |
| Outputs |
|---|
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
3 calls:
| 9.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 8.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 7.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 99.9% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.9% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 39 to 26 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) alpha) |
(/.f64 beta alpha) |
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) alpha)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) |
| Outputs |
|---|
(/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
3 calls:
| 8.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 8.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 7.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 99.8% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.8% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 39 to 26 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) alpha) |
(/.f64 beta alpha) |
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) alpha)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(/.f64 (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) (-.f64 beta alpha) #s(literal 1 binary64)) #s(literal 2 binary64)) |
(fma.f64 (-.f64 (+.f64 (/.f64 beta alpha) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal -2 binary64) beta) alpha)) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
3 calls:
| 7.0ms | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
| 7.0ms | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 7.0ms | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.8% | 2 | (/.f64 (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) #s(literal 2 binary64)) |
| 99.8% | 2 | (+.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal 1 binary64)) |
| 99.8% | 2 | (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) |
Compiled 39 to 26 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) alpha) |
(/.f64 beta alpha) |
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) alpha)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
1 calls:
| 7.0ms | alpha |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 2 | alpha |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) alpha) |
(/.f64 beta alpha) |
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) alpha)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
1 calls:
| 8.0ms | alpha |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 2 | alpha |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) alpha) |
(/.f64 beta alpha) |
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) alpha)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -2 binary64) alpha)) alpha) |
| Outputs |
|---|
(fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
1 calls:
| 8.0ms | alpha |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.9% | 2 | alpha |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) alpha) |
(/.f64 beta alpha) |
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 #s(literal 2 binary64) (+.f64 beta beta)) (/.f64 #s(literal 1/2 binary64) alpha)) |
(+.f64 #s(literal 1/2 binary64) (*.f64 #s(literal 1/2 binary64) (/.f64 alpha (-.f64 #s(literal -2 binary64) alpha)))) |
(fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
1 calls:
| 6.0ms | alpha |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.7% | 2 | alpha |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) alpha) |
(/.f64 beta alpha) |
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha)) |
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
1 calls:
| 6.0ms | alpha |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.6% | 2 | alpha |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) alpha) |
(/.f64 beta alpha) |
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 beta (fma.f64 beta (fma.f64 beta #s(literal 1/16 binary64) #s(literal -1/8 binary64)) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(*.f64 (+.f64 beta #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) alpha)) |
| Outputs |
|---|
(fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
1 calls:
| 5.0ms | alpha |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.1% | 2 | alpha |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) alpha) |
(/.f64 beta alpha) |
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
(/.f64 (+.f64 beta #s(literal 1 binary64)) alpha) |
| Outputs |
|---|
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) beta) alpha) |
1 calls:
| 5.0ms | alpha |
| Accuracy | Segments | Branch |
|---|---|---|
| 75.0% | 2 | alpha |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) alpha) |
(/.f64 beta alpha) |
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) |
#s(literal 1 binary64) |
2 calls:
| 4.0ms | alpha |
| 4.0ms | beta |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.3% | 2 | beta |
| 70.4% | 2 | alpha |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
(/.f64 #s(literal 1 binary64) alpha) |
(/.f64 beta alpha) |
(fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) |
| Outputs |
|---|
(fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) |
#s(literal 1 binary64) |
1 calls:
| 5.0ms | beta |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.0% | 2 | beta |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
(fma.f64 #s(literal -1 binary64) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) |
(fma.f64 #s(literal -1/2 binary64) #s(literal 1 binary64) #s(literal 1/2 binary64)) |
(fma.f64 alpha #s(literal -1/4 binary64) #s(literal 1/2 binary64)) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
#s(literal 1 binary64) |
1 calls:
| 3.0ms | beta |
| Accuracy | Segments | Branch |
|---|---|---|
| 70.5% | 2 | beta |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 0 binary64) |
#s(literal 1/2 binary64) |
| Outputs |
|---|
#s(literal 1/2 binary64) |
2 calls:
| 2.0ms | beta |
| 2.0ms | alpha |
| Accuracy | Segments | Branch |
|---|---|---|
| 48.3% | 1 | alpha |
| 48.3% | 1 | beta |
Compiled 6 to 4 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 0 binary64) |
| Outputs |
|---|
#s(literal 0 binary64) |
2 calls:
| 2.0ms | alpha |
| 1.0ms | beta |
| Accuracy | Segments | Branch |
|---|---|---|
| 3.6% | 1 | alpha |
| 3.6% | 1 | beta |
Compiled 6 to 4 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999842459405 | -0.999488196246162 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999842459405 | -0.999488196246162 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999842459405 | -0.999488196246162 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -0.9999999842459405 | -0.999488196246162 |
Compiled 18 to 16 computations (11.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 3905.747813497277 | 8270964472.397584 |
| 9.0ms | 144× | 0 | valid |
Compiled 225 to 159 computations (29.3% saved)
ival-div: 2.0ms (38.7% of total)ival-add: 2.0ms (38.7% of total)ival-sub: 1.0ms (19.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 3905.747813497277 | 8270964472.397584 |
| 8.0ms | 144× | 0 | valid |
Compiled 225 to 159 computations (29.3% saved)
ival-div: 2.0ms (44.7% of total)ival-add: 2.0ms (44.7% of total)ival-sub: 1.0ms (22.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 9.187448864998092e-5 | 14.544240659215912 |
| 9.0ms | 144× | 0 | valid |
Compiled 207 to 150 computations (27.5% saved)
ival-div: 2.0ms (43.9% of total)ival-add: 2.0ms (43.9% of total)ival-sub: 1.0ms (22% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 9.187448864998092e-5 | 14.544240659215912 |
| 8.0ms | 144× | 0 | valid |
Compiled 189 to 141 computations (25.4% saved)
ival-div: 2.0ms (45.1% of total)ival-add: 2.0ms (45.1% of total)ival-sub: 1.0ms (22.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 3905.747813497277 | 8270964472.397584 |
| 9.0ms | 144× | 0 | valid |
Compiled 189 to 150 computations (20.6% saved)
ival-sub: 2.0ms (36.6% of total)ival-div: 2.0ms (36.6% of total)ival-add: 2.0ms (36.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 9.187448864998092e-5 | 14.544240659215912 |
| 8.0ms | 144× | 0 | valid |
Compiled 207 to 159 computations (23.2% saved)
ival-div: 2.0ms (42.8% of total)ival-add: 2.0ms (42.8% of total)ival-sub: 1.0ms (21.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 9.187448864998092e-5 | 14.544240659215912 |
| 9.0ms | 144× | 0 | valid |
Compiled 180 to 141 computations (21.7% saved)
ival-sub: 2.0ms (36.9% of total)ival-div: 2.0ms (36.9% of total)ival-add: 2.0ms (36.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.05410043213675381 | 26419071.05885278 |
| 6.0ms | 102× | 0 | valid |
| 4.0ms | 34× | 1 | valid |
| 1.0ms | 8× | 2 | valid |
Compiled 144 to 123 computations (14.6% saved)
ival-div: 2.0ms (29.3% of total)ival-add: 2.0ms (29.3% of total)adjust: 1.0ms (14.6% of total)ival-sub: 1.0ms (14.6% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 0.05410043213675381 | 26419071.05885278 |
| 5.0ms | 91× | 0 | valid |
| 4.0ms | 39× | 1 | valid |
| 2.0ms | 14× | 2 | valid |
Compiled 117 to 105 computations (10.3% saved)
ival-div: 3.0ms (40% of total)ival-add: 3.0ms (40% of total)adjust: 1.0ms (13.3% of total)ival-sub: 1.0ms (13.3% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 686842884226585.0 | 85822180643686780.0 |
| 4.0ms | 76× | 0 | valid |
| 3.0ms | 28× | 1 | valid |
| 1.0ms | 8× | 2 | valid |
Compiled 74 to 71 computations (4.1% saved)
ival-div: 2.0ms (35.1% of total)ival-add: 2.0ms (35.1% of total)adjust: 1.0ms (17.6% of total)ival-sub: 1.0ms (17.6% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 1× | egg-herbie |
| 20× | +-commutative_binary64 |
| 6× | *-commutative_binary64 |
| 4× | sub-neg_binary64 |
| 2× | 1-exp_binary64 |
| 2× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 97 | 314 |
| 1 | 111 | 314 |
| 2 | 114 | 314 |
| 3 | 116 | 314 |
| 4 | 117 | 314 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 beta (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (+.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha))) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(if (<=.f64 alpha #s(literal 6800000000 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(if (<=.f64 alpha #s(literal 8200000000 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(if (<=.f64 alpha #s(literal 3884354678607053/562949953421312 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(if (<=.f64 alpha #s(literal 29/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(if (<=.f64 alpha #s(literal 600000000 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(if (<=.f64 alpha #s(literal 4278419646001971/2251799813685248 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(if (<=.f64 alpha #s(literal 3715469692580659/562949953421312 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(if (<=.f64 beta #s(literal 2 binary64)) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(if (<=.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(if (<=.f64 beta #s(literal 700000000000000 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 0 binary64) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 beta (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (+.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha))) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) (fma.f64 beta (fma.f64 (/.f64 #s(literal -1 binary64) alpha) (+.f64 beta #s(literal 3 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal -2 binary64) alpha))) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 #s(literal 2 binary64) beta) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 (+.f64 beta #s(literal 2 binary64)) (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 #s(literal 1 binary64) beta)) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (*.f64 beta (/.f64 (fma.f64 beta #s(literal -2 binary64) #s(literal -2 binary64)) alpha)) (+.f64 beta #s(literal 1 binary64))) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 (+.f64 alpha beta) #s(literal 2 binary64))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) alpha) (+.f64 #s(literal 1 binary64) beta)) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(if (<=.f64 (/.f64 (-.f64 beta alpha) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal -4501347827556811/4503599627370496 binary64)) (/.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 #s(literal -4 binary64) alpha) (+.f64 beta #s(literal 1 binary64))) alpha) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64))) |
(if (<=.f64 alpha #s(literal 6800000000 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(if (<=.f64 alpha #s(literal 6800000000 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta (+.f64 alpha #s(literal 2 binary64)))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
(if (<=.f64 alpha #s(literal 8200000000 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(if (<=.f64 alpha #s(literal 8200000000 binary64)) (fma.f64 (-.f64 beta alpha) (/.f64 #s(literal 1/2 binary64) (+.f64 #s(literal 2 binary64) (+.f64 beta alpha))) #s(literal 1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
(if (<=.f64 alpha #s(literal 3884354678607053/562949953421312 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(if (<=.f64 alpha #s(literal 3884354678607053/562949953421312 binary64)) (fma.f64 (/.f64 (-.f64 beta alpha) (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64) #s(literal 1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
(if (<=.f64 alpha #s(literal 29/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 #s(literal 2 binary64) beta)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(if (<=.f64 alpha #s(literal 29/2 binary64)) (fma.f64 #s(literal 1/2 binary64) (/.f64 beta (+.f64 beta #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
(if (<=.f64 alpha #s(literal 600000000 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(if (<=.f64 alpha #s(literal 600000000 binary64)) (fma.f64 #s(literal -1/2 binary64) (/.f64 alpha (+.f64 alpha #s(literal 2 binary64))) #s(literal 1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
(if (<=.f64 alpha #s(literal 4278419646001971/2251799813685248 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(if (<=.f64 alpha #s(literal 4278419646001971/2251799813685248 binary64)) (fma.f64 alpha (fma.f64 alpha (fma.f64 alpha #s(literal -1/16 binary64) #s(literal 1/8 binary64)) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
(if (<=.f64 alpha #s(literal 3715469692580659/562949953421312 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 #s(literal 1 binary64) beta) alpha)) |
(if (<=.f64 alpha #s(literal 3715469692580659/562949953421312 binary64)) (fma.f64 alpha (fma.f64 alpha #s(literal 1/8 binary64) #s(literal -1/4 binary64)) #s(literal 1/2 binary64)) (/.f64 (+.f64 beta #s(literal 1 binary64)) alpha)) |
(if (<=.f64 beta #s(literal 2 binary64)) (fma.f64 beta (fma.f64 beta #s(literal -1/8 binary64) #s(literal 1/4 binary64)) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(if (<=.f64 beta #s(literal 2 binary64)) (fma.f64 beta #s(literal 1/4 binary64) #s(literal 1/2 binary64)) #s(literal 1 binary64)) |
(if (<=.f64 beta #s(literal 700000000000000 binary64)) #s(literal 1/2 binary64) #s(literal 1 binary64)) |
#s(literal 1/2 binary64) |
#s(literal 0 binary64) |
| 9 688× | accelerator-lowering-fma.f32 |
| 9 688× | accelerator-lowering-fma.f64 |
| 9 196× | accelerator-lowering-fma.f32 |
| 9 196× | accelerator-lowering-fma.f64 |
| 6 798× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 564 | 3440 |
| 1 | 1696 | 3347 |
| 2 | 4755 | 3237 |
| 0 | 8397 | 2996 |
| 0 | 28 | 163 |
| 1 | 219 | 157 |
| 2 | 2008 | 157 |
| 0 | 8876 | 152 |
| 0 | 433 | 2500 |
| 1 | 1394 | 2354 |
| 2 | 4563 | 2155 |
| 0 | 8642 | 2014 |
| 0 | 10 | 44 |
| 1 | 85 | 44 |
| 2 | 742 | 44 |
| 0 | 9043 | 43 |
| 0 | 33 | 96 |
| 1 | 221 | 96 |
| 2 | 2101 | 82 |
| 0 | 9131 | 77 |
| 0 | 1464 | 14761 |
| 1 | 4738 | 14378 |
| 0 | 9073 | 13376 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 734 to 394 computations (46.3% saved)
Compiled 662 to 208 computations (68.6% saved)
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