
Time bar (total: 10.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 13 to 10 computations (23.1% saved)
| 592.0ms | 6 325× | 0 | valid |
| 239.0ms | 1 606× | 1 | valid |
| 62.0ms | 325× | 2 | valid |
ival-sub: 284.0ms (49.1% of total)ival-div: 99.0ms (17.1% of total)ival-mult: 81.0ms (14% of total)ival-add: 70.0ms (12.1% of total)adjust: 30.0ms (5.2% of total)exact: 6.0ms (1% of total)ival-true: 6.0ms (1% of total)ival-assert: 3.0ms (0.5% of total)| 2× | egg-herbie |
| 1 400× | times-frac |
| 970× | div-sub |
| 928× | accelerator-lowering-fma.f32 |
| 928× | accelerator-lowering-fma.f64 |
| 664× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 72 |
| 1 | 64 | 68 |
| 2 | 199 | 66 |
| 3 | 604 | 66 |
| 4 | 1793 | 66 |
| 5 | 4321 | 66 |
| 6 | 5143 | 66 |
| 7 | 5507 | 66 |
| 8 | 5515 | 66 |
| 9 | 5515 | 66 |
| 10 | 5779 | 66 |
| 11 | 5899 | 66 |
| 12 | 5899 | 66 |
| 13 | 5899 | 66 |
| 0 | 8 | 11 |
| 1 | 18 | 11 |
| 2 | 43 | 11 |
| 3 | 115 | 11 |
| 4 | 354 | 11 |
| 5 | 894 | 11 |
| 6 | 1731 | 11 |
| 7 | 1934 | 11 |
| 8 | 1958 | 11 |
| 0 | 1958 | 10 |
| 1× | iter limit |
| 1× | saturated |
| 1× | saturated |
| Inputs |
|---|
(- 1 (/ (* (- 1 x) y) (+ y 1))) |
| Outputs |
|---|
(- 1 (/ (* (- 1 x) y) (+ y 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| Inputs |
|---|
(- 1 (/ (* (- 1 x) y) (+ y 1))) |
(- 1 (/ (* (- 1 (neg x)) y) (+ y 1))) |
(- 1 (/ (* (- 1 x) (neg y)) (+ (neg y) 1))) |
(neg (- 1 (/ (* (- 1 (neg x)) y) (+ y 1)))) |
(neg (- 1 (/ (* (- 1 x) (neg y)) (+ (neg y) 1)))) |
(- 1 (/ (* (- 1 y) x) (+ x 1))) |
| Outputs |
|---|
(- 1 (/ (* (- 1 x) y) (+ y 1))) |
(+ 1 (* (/ y (+ 1 y)) (+ x -1))) |
(- 1 (/ (* (- 1 (neg x)) y) (+ y 1))) |
(+ 1 (* (+ 1 x) (/ y (- -1 y)))) |
(- 1 (/ (* (- 1 x) (neg y)) (+ (neg y) 1))) |
(+ 1 (* (- 1 x) (/ y (- 1 y)))) |
(neg (- 1 (/ (* (- 1 (neg x)) y) (+ y 1)))) |
(+ -1 (* (+ 1 x) (/ y (+ 1 y)))) |
(neg (- 1 (/ (* (- 1 x) (neg y)) (+ (neg y) 1)))) |
(+ (* (- 1 x) (/ y (+ y -1))) -1) |
(- 1 (/ (* (- 1 y) x) (+ x 1))) |
(+ 1 (* (- 1 y) (/ x (- -1 x)))) |
| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 69 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 37 | 0 | - | 0 | - | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 y #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 #s(literal 1 binary64) x) y) |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) x) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) | cancellation | 69 | 0 |
/.f64 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) | o/n | 37 | 0 |
| ↳ | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | overflow | 37 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 106 | 0 |
| - | 0 | 150 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 106 | 0 | 0 |
| - | 0 | 0 | 150 |
| number | freq |
|---|---|
| 0 | 150 |
| 1 | 106 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 22.0ms | 374× | 0 | valid |
| 12.0ms | 106× | 1 | valid |
| 5.0ms | 32× | 2 | valid |
Compiled 98 to 36 computations (63.3% saved)
ival-sub: 7.0ms (31.4% of total)ival-div: 4.0ms (18% of total)ival-add: 4.0ms (18% of total)ival-mult: 4.0ms (18% of total)adjust: 2.0ms (9% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 61.8% | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
Compiled 13 to 8 computations (38.5% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (+.f64 y #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| ✓ | cost-diff | 192 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 928× | accelerator-lowering-fma.f32 |
| 928× | accelerator-lowering-fma.f64 |
| 416× | *-lowering-*.f32 |
| 416× | *-lowering-*.f64 |
| 308× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 34 |
| 1 | 18 | 34 |
| 2 | 43 | 34 |
| 3 | 115 | 34 |
| 4 | 354 | 34 |
| 5 | 894 | 34 |
| 6 | 1731 | 34 |
| 7 | 1934 | 34 |
| 8 | 1958 | 34 |
| 0 | 1958 | 33 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- 1 (/ (* (- 1 x) y) (+ y 1))) |
1 |
(/ (* (- 1 x) y) (+ y 1)) |
(* (- 1 x) y) |
(- 1 x) |
x |
y |
(+ y 1) |
| Outputs |
|---|
(- 1 (/ (* (- 1 x) y) (+ y 1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(/ (* (- 1 x) y) (+ y 1)) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) y #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) y)) |
(* (- 1 x) y) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y #s(literal 0 binary64)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
x |
y |
(+ y 1) |
(+.f64 #s(literal 1 binary64) y) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (+.f64 y #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 (-.f64 #s(literal 1 binary64) x) y) |
| ✓ | accuracy | 86.6% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| ✓ | accuracy | 75.2% | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 11.0ms | 187× | 0 | valid |
| 6.0ms | 53× | 1 | valid |
| 3.0ms | 16× | 2 | valid |
Compiled 36 to 10 computations (72.2% saved)
ival-sub: 3.0ms (27.3% of total)ival-div: 2.0ms (18.2% of total)ival-add: 2.0ms (18.2% of total)ival-mult: 2.0ms (18.2% of total)adjust: 1.0ms (9.1% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- 1 (/ (* (- 1 x) y) (+ y 1)))> |
#<alt (/ (* (- 1 x) y) (+ y 1))> |
#<alt (- 1 x)> |
#<alt (+ y 1)> |
#<alt (* (- 1 x) y)> |
| Outputs |
|---|
#<alt (- 1 (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y)))))> |
#<alt 1> |
#<alt (+ 1 (* y (- x 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- 1 x))) 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1)))> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y))> |
#<alt (- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))))> |
#<alt x> |
#<alt (+ x (* -1 (/ (- x 1) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y)))> |
#<alt (/ y (+ 1 y))> |
#<alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y)))> |
#<alt (* -1 (/ (* x y) (+ 1 y)))> |
#<alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))> |
#<alt (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))> |
#<alt (* -1 (/ (* x y) (+ 1 y)))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y)))))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- (+ 1 (* y (- x 1))) x))> |
#<alt (* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x))> |
#<alt (* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 (/ x y)) (+ x (/ 1 y)))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2)))))> |
#<alt (- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))))> |
#<alt (- 1 x)> |
#<alt (- (+ 1 (/ x y)) (+ x (/ 1 y)))> |
#<alt (- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x)> |
#<alt (- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x)> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 y)> |
#<alt (+ 1 y)> |
#<alt (+ 1 y)> |
#<alt y> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt y> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt (* y (+ 1 (/ 1 y)))> |
#<alt y> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (* -1 (* x y))> |
#<alt (* x (+ (* -1 y) (/ y x)))> |
#<alt (* x (+ (* -1 y) (/ y x)))> |
#<alt (* x (+ (* -1 y) (/ y x)))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (- 1 (/ (* (- 1 x) y) (+ y 1))) |
| 1.0ms | y | @ | 0 | (* (- 1 x) y) |
| 1.0ms | x | @ | 0 | (- 1 (/ (* (- 1 x) y) (+ y 1))) |
| 1.0ms | y | @ | 0 | (- 1 (/ (* (- 1 x) y) (+ y 1))) |
| 0.0ms | y | @ | inf | (- 1 (/ (* (- 1 x) y) (+ y 1))) |
| 1× | batch-egg-rewrite |
| 6 332× | accelerator-lowering-fma.f32 |
| 6 332× | accelerator-lowering-fma.f64 |
| 4 782× | *-lowering-*.f32 |
| 4 782× | *-lowering-*.f64 |
| 3 674× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 31 |
| 1 | 58 | 31 |
| 2 | 528 | 31 |
| 0 | 8517 | 30 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (/ (* (- 1 x) y) (+ y 1))) |
(/ (* (- 1 x) y) (+ y 1)) |
(- 1 x) |
(+ y 1) |
(* (- 1 x) y) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))) |
(+.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) (*.f64 (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64)) |
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(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) |
(/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) (+.f64 #s(literal 1 binary64) x)) |
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x)))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) |
(/.f64 (fma.f64 y (*.f64 y y) (pow.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (*.f64 (-.f64 #s(literal 0 binary64) y) x)) (*.f64 y (*.f64 (-.f64 #s(literal 0 binary64) y) x))))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 (*.f64 (-.f64 #s(literal 0 binary64) y) x) (*.f64 (-.f64 #s(literal 0 binary64) y) x))) (-.f64 y (*.f64 (-.f64 #s(literal 0 binary64) y) x))) |
(/.f64 (*.f64 y (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))))) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) (*.f64 x x))) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) y) (-.f64 #s(literal 0 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 x x)) y) (+.f64 (-.f64 #s(literal 0 binary64) x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (neg.f64 (-.f64 #s(literal 0 binary64) y))) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64))) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (/.f64 y (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x)) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (/.f64 y (+.f64 #s(literal 1 binary64) x))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal 0 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (fma.f64 x (+.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)))) |
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x))) |
(*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (fma.f64 (fma.f64 x x x) (*.f64 (fma.f64 x x x) (fma.f64 x x x)) #s(literal 1 binary64))) (fma.f64 (fma.f64 x x x) (-.f64 (fma.f64 x x x) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x x x) (fma.f64 x x x)))) (-.f64 #s(literal 1 binary64) (fma.f64 x x x))) |
(*.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 x x))) (-.f64 #s(literal 1 binary64) x)) |
(*.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) (*.f64 x x))) (fma.f64 x (*.f64 x x) #s(literal 1 binary64))) (fma.f64 x (-.f64 x #s(literal 1 binary64)) #s(literal 1 binary64))) |
| 1× | egg-herbie |
| 13 336× | accelerator-lowering-fma.f32 |
| 13 336× | accelerator-lowering-fma.f64 |
| 3 556× | +-lowering-+.f64 |
| 3 556× | +-lowering-+.f32 |
| 2 780× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 823 |
| 1 | 400 | 799 |
| 2 | 1128 | 684 |
| 3 | 4562 | 669 |
| 0 | 8331 | 648 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- 1 (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(/ (* x y) (+ 1 y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(/ y (+ 1 y)) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(* -1 (/ (* x y) (+ 1 y))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(* y (- 1 x)) |
(* y (- (+ 1 (* y (- x 1))) x)) |
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)) |
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x)) |
(- 1 x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2))))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) |
(- 1 x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) |
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
y |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
| Outputs |
|---|
(- 1 (/ y (+ 1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (fma.f64 y x #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) y)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(/.f64 (fma.f64 y x #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(fma.f64 y (+.f64 x (fma.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) (/.f64 x (*.f64 y y))) x)) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) |
(+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(-.f64 x (/.f64 (+.f64 x (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64))) y)) |
(/ y (+ 1 y)) |
(/.f64 y (+.f64 #s(literal 1 binary64) y)) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(+ (* -1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (/ (* x y) (+ 1 y))) |
(/.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) y)) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (/ (* x y) (+ 1 y))) |
(/.f64 (fma.f64 y x #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) y)) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- (+ 1 (* y (- x 1))) x)) |
(fma.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) |
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)) |
(*.f64 y (-.f64 (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) x)) |
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x)) |
(*.f64 y (-.f64 (fma.f64 y (+.f64 x (fma.f64 (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) #s(literal 1 binary64)) x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2))))) |
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) |
(+.f64 (fma.f64 (/.f64 x y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)) (+.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) (-.f64 (/.f64 #s(literal -1 binary64) y) x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))))) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (-.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) x)) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) |
(-.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) |
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x) |
(*.f64 (+.f64 #s(literal -1 binary64) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal -1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
y |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
(* y (+ 1 (/ 1 y))) |
(+.f64 #s(literal 1 binary64) y) |
y |
(+ y (* -1 (* x y))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(+ y (* -1 (* x y))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(+ y (* -1 (* x y))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x y)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) |
(* x (+ (* -1 y) (/ y x))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* x (+ (* -1 y) (/ y x))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* x (+ (* -1 y) (/ y x))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x y)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y x #s(literal 0 binary64))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
(* y (- 1 x)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
Compiled 13 958 to 1 628 computations (88.3% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 555 | 14 | 569 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 556 | 14 | 570 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 46.6% | (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
| 54.0% | (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) | |
| ▶ | 55.2% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
| 54.6% | (fma.f64 (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) | |
| ▶ | 75.0% | (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| ▶ | 47.1% | (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
| 38.5% | (/.f64 (fma.f64 y x #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) y)) | |
| 47.2% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) | |
| 47.6% | (-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) | |
| 54.0% | (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) | |
| 36.3% | (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) | |
| 29.2% | (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) | |
| 39.9% | x | |
| ▶ | 35.5% | #s(literal 1 binary64) |
Compiled 616 to 238 computations (61.4% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (fma.f64 y y #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) |
| ✓ | cost-diff | 1152 | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 y #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal -1 binary64) y) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) |
| ✓ | cost-diff | 0 | (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| 12 196× | accelerator-lowering-fma.f32 |
| 12 196× | accelerator-lowering-fma.f64 |
| 2 734× | *-lowering-*.f32 |
| 2 734× | *-lowering-*.f64 |
| 1 638× | --lowering--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 117 |
| 1 | 74 | 117 |
| 2 | 252 | 117 |
| 3 | 968 | 117 |
| 4 | 4008 | 117 |
| 0 | 8142 | 111 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* y (/ (- 1 x) (- -1 y))) 1) |
y |
(/ (- 1 x) (- -1 y)) |
(- 1 x) |
1 |
x |
(- -1 y) |
-1 |
1 |
(+ (* y (+ x -1)) 1) |
y |
(+ x -1) |
x |
-1 |
1 |
(+ (* (+ (* y (- 1 x)) 0) (+ y -1)) 1) |
(+ (* y (- 1 x)) 0) |
y |
(- 1 x) |
1 |
x |
0 |
(+ y -1) |
-1 |
(+ (* (/ -1 (+ (* y y) -1)) (* (- 1 x) (* y (+ y -1)))) 1) |
(/ -1 (+ (* y y) -1)) |
-1 |
(+ (* y y) -1) |
y |
(* (- 1 x) (* y (+ y -1))) |
(- 1 x) |
1 |
x |
(* y (+ y -1)) |
(+ y -1) |
| Outputs |
|---|
(+ (* y (/ (- 1 x) (- -1 y))) 1) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
y |
(/ (- 1 x) (- -1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(- -1 y) |
(-.f64 #s(literal -1 binary64) y) |
-1 |
#s(literal -1 binary64) |
1 |
#s(literal 1 binary64) |
(+ (* y (+ x -1)) 1) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
y |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
x |
-1 |
#s(literal -1 binary64) |
1 |
#s(literal 1 binary64) |
(+ (* (+ (* y (- 1 x)) 0) (+ y -1)) 1) |
(fma.f64 y (fma.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 1 binary64)) |
(+ (* y (- 1 x)) 0) |
(fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
y |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
0 |
#s(literal 0 binary64) |
(+ y -1) |
(+.f64 y #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(+ (* (/ -1 (+ (* y y) -1)) (* (- 1 x) (* y (+ y -1)))) 1) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(/ -1 (+ (* y y) -1)) |
(/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) |
-1 |
#s(literal -1 binary64) |
(+ (* y y) -1) |
(fma.f64 y y #s(literal -1 binary64)) |
y |
(* (- 1 x) (* y (+ y -1))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(* y (+ y -1)) |
(fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 0 binary64)) |
(+ y -1) |
(+.f64 y #s(literal -1 binary64)) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y (+.f64 y #s(literal -1 binary64))) |
| ✓ | accuracy | 99.9% | (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 y #s(literal -1 binary64)))) |
| ✓ | accuracy | 99.7% | (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) |
| ✓ | accuracy | 56.0% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 y #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal -1 binary64) y) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) |
| ✓ | accuracy | 75.0% | (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| 33.0ms | 187× | 0 | valid |
| 19.0ms | 53× | 1 | valid |
| 11.0ms | 16× | 2 | valid |
Compiled 122 to 27 computations (77.9% saved)
ival-mult: 15.0ms (35.2% of total)ival-add: 12.0ms (28.2% of total)ival-sub: 7.0ms (16.4% of total)ival-div: 5.0ms (11.7% of total)adjust: 3.0ms (7% of total)exact: 1.0ms (2.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (+ (* y (/ (- 1 x) (- -1 y))) 1)> |
#<alt (/ (- 1 x) (- -1 y))> |
#<alt (- 1 x)> |
#<alt (- -1 y)> |
#<alt (+ (* y (+ x -1)) 1)> |
#<alt (+ x -1)> |
#<alt (+ (* (+ (* y (- 1 x)) 0) (+ y -1)) 1)> |
#<alt (+ (* y (- 1 x)) 0)> |
#<alt (+ y -1)> |
#<alt (+ (* (/ -1 (+ (* y y) -1)) (* (- 1 x) (* y (+ y -1)))) 1)> |
#<alt (/ -1 (+ (* y y) -1))> |
#<alt (+ (* y y) -1)> |
#<alt (* (- 1 x) (* y (+ y -1)))> |
#<alt (* y (+ y -1))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* -1 (* y (- 1 x))))> |
#<alt (+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))))> |
#<alt (+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1)))))))> |
#<alt (+ 1 (* -1 (- 1 x)))> |
#<alt (+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))))> |
#<alt (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))))> |
#<alt (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))))> |
#<alt (+ 1 (* -1 (- 1 x)))> |
#<alt (- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y))> |
#<alt (+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))))> |
#<alt (+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y))))> |
#<alt (+ 1 (* -1 (/ y (+ 1 y))))> |
#<alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))> |
#<alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))> |
#<alt (+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y))))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))> |
#<alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))> |
#<alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y)))))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x)))))> |
#<alt (/ -1 (+ 1 y))> |
#<alt (- (/ x (+ 1 y)) (/ 1 (+ 1 y)))> |
#<alt (- (/ x (+ 1 y)) (/ 1 (+ 1 y)))> |
#<alt (- (/ x (+ 1 y)) (/ 1 (+ 1 y)))> |
#<alt (/ x (+ 1 y))> |
#<alt (* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y)))))> |
#<alt (* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y)))))> |
#<alt (* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y)))))> |
#<alt (/ x (+ 1 y))> |
#<alt (* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y)))))> |
#<alt (* -1 (- 1 x))> |
#<alt (+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))> |
#<alt (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1)))))> |
#<alt (+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x)))))))> |
#<alt (* -1 (/ (- 1 x) y))> |
#<alt (/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y)> |
#<alt (/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))) y)> |
#<alt (/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))) y)> |
#<alt (* -1 (/ (- 1 x) y))> |
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y))> |
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y))) x) y))> |
#<alt (* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y)) (* -1 (- 1 x))) y))) x) y))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt -1> |
#<alt (- (* -1 y) 1)> |
#<alt (- (* -1 y) 1)> |
#<alt (- (* -1 y) 1)> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (/ 1 y))))> |
#<alt (* -1 (* y (+ 1 (/ 1 y))))> |
#<alt (* -1 (* y (+ 1 (/ 1 y))))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (+ 1 (/ 1 y))))> |
#<alt (* -1 (* y (+ 1 (/ 1 y))))> |
#<alt (* -1 (* y (+ 1 (/ 1 y))))> |
#<alt 1> |
#<alt (+ 1 (* y (- x 1)))> |
#<alt (+ 1 (* y (- x 1)))> |
#<alt (+ 1 (* y (- x 1)))> |
#<alt (* y (- x 1))> |
#<alt (* y (- (+ x (/ 1 y)) 1))> |
#<alt (* y (- (+ x (/ 1 y)) 1))> |
#<alt (* y (- (+ x (/ 1 y)) 1))> |
#<alt (* y (- x 1))> |
#<alt (* -1 (* y (- (* -1 (- x 1)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (- x 1)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (- x 1)) (/ 1 y))))> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (+ (* -1 y) (* x y)))> |
#<alt (+ 1 (+ (* -1 y) (* x y)))> |
#<alt (+ 1 (+ (* -1 y) (* x y)))> |
#<alt (* x y)> |
#<alt (* x (+ y (+ (* -1 (/ y x)) (/ 1 x))))> |
#<alt (* x (+ y (+ (* -1 (/ y x)) (/ 1 x))))> |
#<alt (* x (+ y (+ (* -1 (/ y x)) (/ 1 x))))> |
#<alt (* x y)> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))> |
#<alt (* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x)))))> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt x> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* y (- 1 x))))> |
#<alt (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))> |
#<alt (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))> |
#<alt (* (pow y 2) (- 1 x))> |
#<alt (* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))> |
#<alt (* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) x))> |
#<alt (* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) x))> |
#<alt (* (pow y 2) (- 1 x))> |
#<alt (* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))> |
#<alt (* (pow y 2) (- (+ 1 (* -1 (/ (- 1 (+ x (/ 1 y))) y))) x))> |
#<alt (* (pow y 2) (- (+ 1 (* -1 (/ (- 1 (+ x (/ 1 y))) y))) x))> |
#<alt (+ 1 (* y (- y 1)))> |
#<alt (+ 1 (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1))))> |
#<alt (+ 1 (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1))))> |
#<alt (+ 1 (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1))))> |
#<alt (* -1 (* x (* y (- y 1))))> |
#<alt (* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))))> |
#<alt (* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))))> |
#<alt (* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))))> |
#<alt (* -1 (* x (* y (- y 1))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- 1 x))> |
#<alt y> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (+ y (* -1 (* x y)))> |
#<alt (* -1 (* x y))> |
#<alt (* x (+ (* -1 y) (/ y x)))> |
#<alt (* x (+ (* -1 y) (/ y x)))> |
#<alt (* x (+ (* -1 y) (/ y x)))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))> |
#<alt (* -1 (* x (+ y (* -1 (/ y x)))))> |
#<alt -1> |
#<alt (- y 1)> |
#<alt (- y 1)> |
#<alt (- y 1)> |
#<alt y> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt y> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* y (- 1 x))))> |
#<alt (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))> |
#<alt (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- (+ 1 (* -1 (* y (- 1 x)))) x)))))> |
#<alt (+ 1 (* -1 (- 1 x)))> |
#<alt (- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y))> |
#<alt (- (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (/ 1 y)))) (/ x y))> |
#<alt (- (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) (pow y 3))) (/ 1 y))))) (/ x y))> |
#<alt (+ 1 (* -1 (- 1 x)))> |
#<alt (- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y))> |
#<alt (+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))))> |
#<alt (+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y))))> |
#<alt (+ 1 (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))))> |
#<alt (+ 1 (+ (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))) (/ (* x (* y (- y 1))) (- (pow y 2) 1))))> |
#<alt (+ 1 (+ (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))) (/ (* x (* y (- y 1))) (- (pow y 2) 1))))> |
#<alt (+ 1 (+ (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))) (/ (* x (* y (- y 1))) (- (pow y 2) 1))))> |
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))> |
#<alt (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (+ (/ 1 x) (/ (* y (- y 1)) (- (pow y 2) 1)))))> |
#<alt (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (+ (/ 1 x) (/ (* y (- y 1)) (- (pow y 2) 1)))))> |
#<alt (* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (+ (/ 1 x) (/ (* y (- y 1)) (- (pow y 2) 1)))))> |
#<alt (/ (* x (* y (- y 1))) (- (pow y 2) 1))> |
#<alt (* -1 (* x (+ (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))) (* -1 (/ (+ 1 (* -1 (/ (* y (- y 1)) (- (pow y 2) 1)))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))) (* -1 (/ (+ 1 (* -1 (/ (* y (- y 1)) (- (pow y 2) 1)))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))) (* -1 (/ (+ 1 (* -1 (/ (* y (- y 1)) (- (pow y 2) 1)))) x)))))> |
#<alt 1> |
#<alt (+ 1 (pow y 2))> |
#<alt (+ 1 (* (pow y 2) (+ 1 (pow y 2))))> |
#<alt (+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1 (pow y 2))))))> |
#<alt (/ -1 (pow y 2))> |
#<alt (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2)))> |
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) (pow y 2))> |
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) (pow y 2))> |
#<alt (/ -1 (pow y 2))> |
#<alt (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2)))> |
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) (pow y 2))> |
#<alt (/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) (pow y 2))> |
#<alt -1> |
#<alt (- (pow y 2) 1)> |
#<alt (- (pow y 2) 1)> |
#<alt (- (pow y 2) 1)> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))> |
#<alt (* (pow y 2) (- 1 (/ 1 (pow y 2))))> |
#<alt (* y (- y 1))> |
#<alt (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1)))> |
#<alt (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1)))> |
#<alt (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1)))> |
#<alt (* -1 (* x (* y (- y 1))))> |
#<alt (* x (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x)))> |
#<alt (* x (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x)))> |
#<alt (* x (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x)))> |
#<alt (* -1 (* x (* y (- y 1))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1)))))> |
#<alt (* -1 (* y (- 1 x)))> |
#<alt (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))> |
#<alt (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))> |
#<alt (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))> |
#<alt (* (pow y 2) (- 1 x))> |
#<alt (* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))> |
#<alt (* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))> |
#<alt (* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))> |
#<alt (* (pow y 2) (- 1 x))> |
#<alt (* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))> |
#<alt (* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))> |
#<alt (* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))> |
#<alt (* -1 y)> |
#<alt (* y (- y 1))> |
#<alt (* y (- y 1))> |
#<alt (* y (- y 1))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (- 1 (/ 1 y)))> |
#<alt (* (pow y 2) (- 1 (/ 1 y)))> |
#<alt (* (pow y 2) (- 1 (/ 1 y)))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (- 1 (/ 1 y)))> |
#<alt (* (pow y 2) (- 1 (/ 1 y)))> |
#<alt (* (pow y 2) (- 1 (/ 1 y)))> |
63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (+ (* y (+ x -1)) 1) |
| 1.0ms | x | @ | 0 | (+ (* (/ -1 (+ (* y y) -1)) (* (- 1 x) (* y (+ y -1)))) 1) |
| 1.0ms | x | @ | inf | (+ (* (/ -1 (+ (* y y) -1)) (* (- 1 x) (* y (+ y -1)))) 1) |
| 1.0ms | x | @ | -inf | (+ (* (/ -1 (+ (* y y) -1)) (* (- 1 x) (* y (+ y -1)))) 1) |
| 0.0ms | x | @ | 0 | (/ (- 1 x) (- -1 y)) |
| 1× | batch-egg-rewrite |
| 5 876× | accelerator-lowering-fma.f32 |
| 5 876× | accelerator-lowering-fma.f64 |
| 4 790× | /-lowering-/.f32 |
| 4 790× | /-lowering-/.f64 |
| 4 554× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 98 |
| 1 | 190 | 92 |
| 2 | 1909 | 92 |
| 0 | 8651 | 86 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* y (/ (- 1 x) (- -1 y))) 1) |
(/ (- 1 x) (- -1 y)) |
(- 1 x) |
(- -1 y) |
(+ (* y (+ x -1)) 1) |
(+ x -1) |
(+ (* (+ (* y (- 1 x)) 0) (+ y -1)) 1) |
(+ (* y (- 1 x)) 0) |
(+ y -1) |
(+ (* (/ -1 (+ (* y y) -1)) (* (- 1 x) (* y (+ y -1)))) 1) |
(/ -1 (+ (* y y) -1)) |
(+ (* y y) -1) |
(* (- 1 x) (* y (+ y -1))) |
(* y (+ y -1)) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) y))) |
(+.f64 (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) y)))) (/.f64 (/.f64 (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (-.f64 #s(literal -1 binary64) y) (-.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) y))))) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) y) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) y #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) (*.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) y)) (/.f64 (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) y)) (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 y (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (+.f64 y #s(literal 1 binary64)))) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (/.f64 y (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (+.f64 y #s(literal 1 binary64)))) (/.f64 y (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) |
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(*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))))) |
(*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64))) (/.f64 (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))))) |
(+.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) y)) |
(+.f64 (-.f64 #s(literal 0 binary64) y) (*.f64 y y)) |
(-.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y y))) (-.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) y))) (/.f64 (*.f64 y y) (-.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) y)))) |
(fma.f64 y y (-.f64 #s(literal 0 binary64) y)) |
(fma.f64 y #s(literal -1 binary64) (*.f64 y y)) |
(fma.f64 #s(literal -1 binary64) y (*.f64 y y)) |
(fma.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y)) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y)) (-.f64 #s(literal 0 binary64) y)) |
(/.f64 (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))) (neg.f64 (*.f64 y (*.f64 y y)))) (fma.f64 y (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y y) (neg.f64 (*.f64 y (*.f64 y y)))))) |
(/.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y)) (-.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) y))) |
(/.f64 (*.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 y (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) y) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) y) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y y) (*.f64 y (*.f64 y (*.f64 y y))) (neg.f64 (*.f64 y (*.f64 y y))))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (-.f64 (*.f64 y y) (neg.f64 (*.f64 y (*.f64 y y))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) y)))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) y)) (neg.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) y)) (neg.f64 (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) y) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (fma.f64 y y (-.f64 (*.f64 y (*.f64 y (*.f64 y y))) (neg.f64 (*.f64 y (*.f64 y y)))))) |
(*.f64 y (+.f64 y #s(literal -1 binary64))) |
(*.f64 (+.f64 y #s(literal -1 binary64)) y) |
| 1× | egg-herbie |
| 15 428× | accelerator-lowering-fma.f32 |
| 15 428× | accelerator-lowering-fma.f64 |
| 4 360× | +-lowering-+.f64 |
| 4 360× | +-lowering-+.f32 |
| 3 200× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 247 | 2570 |
| 1 | 794 | 2225 |
| 2 | 2530 | 2008 |
| 0 | 8649 | 1897 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) |
(+ 1 (* -1 (- 1 x))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))) |
(+ 1 (* -1 (- 1 x))) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))) |
(+ 1 (* -1 (/ y (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(/ (* x y) (+ 1 y)) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(/ -1 (+ 1 y)) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(- (/ x (+ 1 y)) (/ 1 (+ 1 y))) |
(/ x (+ 1 y)) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(* x (- (/ 1 (+ 1 y)) (/ 1 (* x (+ 1 y))))) |
(/ x (+ 1 y)) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (* x (- (/ 1 (* x (+ 1 y))) (/ 1 (+ 1 y))))) |
(* -1 (- 1 x)) |
(+ (* -1 (* y (- x 1))) (* -1 (- 1 x))) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))) |
(+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))))) |
(* -1 (/ (- 1 x) y)) |
(/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y)))) y) |
(/ (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3)))))) y) |
(* -1 (/ (- 1 x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- 1 x) y))) x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y))) x) y)) |
(* -1 (/ (- (+ 1 (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- 1 x) y)) (* -1 (- 1 x))) y)) (* -1 (- 1 x))) y))) x) y)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
-1 |
(- (* -1 y) 1) |
(- (* -1 y) 1) |
(- (* -1 y) 1) |
(* -1 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- x 1))) |
(* y (- x 1)) |
(* y (- (+ x (/ 1 y)) 1)) |
(* y (- (+ x (/ 1 y)) 1)) |
(* y (- (+ x (/ 1 y)) 1)) |
(* y (- x 1)) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (- x 1)) (/ 1 y)))) |
(+ 1 (* -1 y)) |
(+ 1 (+ (* -1 y) (* x y))) |
(+ 1 (+ (* -1 y) (* x y))) |
(+ 1 (+ (* -1 y) (* x y))) |
(* x y) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(* x (+ y (+ (* -1 (/ y x)) (/ 1 x)))) |
(* x y) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
(* -1 (* x (+ (* -1 y) (* -1 (/ (+ 1 (* -1 y)) x))))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) |
(* (pow y 2) (- 1 x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) x)) |
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) x)) |
(* (pow y 2) (- 1 x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 (+ x (/ 1 y))) y))) x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 (+ x (/ 1 y))) y))) x)) |
(+ 1 (* y (- y 1))) |
(+ 1 (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1)))) |
(+ 1 (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1)))) |
(+ 1 (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1)))) |
(* -1 (* x (* y (- y 1)))) |
(* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x)))) |
(* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x)))) |
(* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x)))) |
(* -1 (* x (* y (- y 1)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
(* y (- 1 x)) |
y |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(+ y (* -1 (* x y))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* x (+ (* -1 y) (/ y x))) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- (+ 1 (* -1 (* y (- 1 x)))) x))))) |
(+ 1 (* -1 (- 1 x))) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(- (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (/ 1 y)))) (/ x y)) |
(- (+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) (pow y 3))) (/ 1 y))))) (/ x y)) |
(+ 1 (* -1 (- 1 x))) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))) |
(+ 1 (* -1 (/ (* y (- y 1)) (- (pow y 2) 1)))) |
(+ 1 (+ (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))) (/ (* x (* y (- y 1))) (- (pow y 2) 1)))) |
(+ 1 (+ (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))) (/ (* x (* y (- y 1))) (- (pow y 2) 1)))) |
(+ 1 (+ (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))) (/ (* x (* y (- y 1))) (- (pow y 2) 1)))) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (+ (/ 1 x) (/ (* y (- y 1)) (- (pow y 2) 1))))) |
(* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (+ (/ 1 x) (/ (* y (- y 1)) (- (pow y 2) 1))))) |
(* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (+ (/ 1 x) (/ (* y (- y 1)) (- (pow y 2) 1))))) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))) (* -1 (/ (+ 1 (* -1 (/ (* y (- y 1)) (- (pow y 2) 1)))) x))))) |
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))) (* -1 (/ (+ 1 (* -1 (/ (* y (- y 1)) (- (pow y 2) 1)))) x))))) |
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))) (* -1 (/ (+ 1 (* -1 (/ (* y (- y 1)) (- (pow y 2) 1)))) x))))) |
1 |
(+ 1 (pow y 2)) |
(+ 1 (* (pow y 2) (+ 1 (pow y 2)))) |
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1 (pow y 2)))))) |
(/ -1 (pow y 2)) |
(* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) (pow y 2)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) (pow y 2)) |
(/ -1 (pow y 2)) |
(* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) (pow y 2)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) (pow y 2)) |
-1 |
(- (pow y 2) 1) |
(- (pow y 2) 1) |
(- (pow y 2) 1) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* y (- y 1)) |
(+ (* -1 (* x (* y (- y 1)))) (* y (- y 1))) |
(+ (* -1 (* x (* y (- y 1)))) (* y (- y 1))) |
(+ (* -1 (* x (* y (- y 1)))) (* y (- y 1))) |
(* -1 (* x (* y (- y 1)))) |
(* x (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x))) |
(* x (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x))) |
(* x (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x))) |
(* -1 (* x (* y (- y 1)))) |
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1))))) |
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1))))) |
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1))))) |
(* -1 (* y (- 1 x))) |
(* y (+ (* -1 (- 1 x)) (* y (- 1 x)))) |
(* y (+ (* -1 (- 1 x)) (* y (- 1 x)))) |
(* y (+ (* -1 (- 1 x)) (* y (- 1 x)))) |
(* (pow y 2) (- 1 x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* (pow y 2) (- 1 x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* -1 y) |
(* y (- y 1)) |
(* y (- y 1)) |
(* y (- y 1)) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- 1 (/ 1 y))) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- 1 (/ 1 y))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) |
(fma.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) |
(fma.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) #s(literal 1 binary64)) |
(+ 1 (* -1 (- 1 x))) |
x |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))) |
(-.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) y)) |
(+ 1 (* -1 (- 1 x))) |
x |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))) |
(-.f64 x (/.f64 (+.f64 #s(literal -1 binary64) (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x)) y)) |
(+ 1 (* -1 (/ y (+ 1 y)))) |
(+.f64 #s(literal 1 binary64) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(fma.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
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(+ 1 (+ (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))) (/ (* x (* y (- y 1))) (- (pow y 2) 1)))) |
(fma.f64 (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) y)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))) (/ (* x (* y (- y 1))) (- (pow y 2) 1)))) |
(fma.f64 (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) y)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))) (/ (* x (* y (- y 1))) (- (pow y 2) 1)))) |
(fma.f64 (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) y)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(/.f64 (*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) y))) (fma.f64 y y #s(literal -1 binary64))) |
(* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (+ (/ 1 x) (/ (* y (- y 1)) (- (pow y 2) 1))))) |
(fma.f64 (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) y)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (+ (/ 1 x) (/ (* y (- y 1)) (- (pow y 2) 1))))) |
(fma.f64 (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) y)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* x (+ (* -1 (/ (* y (- y 1)) (* x (- (pow y 2) 1)))) (+ (/ 1 x) (/ (* y (- y 1)) (- (pow y 2) 1))))) |
(fma.f64 (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) y)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(/.f64 (*.f64 y (*.f64 x (+.f64 #s(literal -1 binary64) y))) (fma.f64 y y #s(literal -1 binary64))) |
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))) (* -1 (/ (+ 1 (* -1 (/ (* y (- y 1)) (- (pow y 2) 1)))) x))))) |
(fma.f64 (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) y)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))) (* -1 (/ (+ 1 (* -1 (/ (* y (- y 1)) (- (pow y 2) 1)))) x))))) |
(fma.f64 (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) y)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) (- (pow y 2) 1))) (* -1 (/ (+ 1 (* -1 (/ (* y (- y 1)) (- (pow y 2) 1)))) x))))) |
(fma.f64 (/.f64 (*.f64 y (+.f64 #s(literal -1 binary64) y)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1 (pow y 2)))) |
(fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* (pow y 2) (+ 1 (* (pow y 2) (+ 1 (pow y 2)))))) |
(fma.f64 (*.f64 y y) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/ -1 (pow y 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 y y)) |
(* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 y y)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) (pow y 2)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 y y))) (*.f64 y y)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) (pow y 2)) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 y y))) (*.f64 y y)) #s(literal -1 binary64)) (*.f64 y y)) |
(/ -1 (pow y 2)) |
(/.f64 #s(literal -1 binary64) (*.f64 y y)) |
(* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 y y)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 2))) 1) (pow y 2)) |
(/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 y y))) (*.f64 y y)) |
(/ (- (* -1 (/ (+ 1 (/ 1 (pow y 2))) (pow y 4))) (+ 1 (/ 1 (pow y 2)))) (pow y 2)) |
(/.f64 (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y y))) (*.f64 y y))) (*.f64 y y)) #s(literal -1 binary64)) (*.f64 y y)) |
-1 |
#s(literal -1 binary64) |
(- (pow y 2) 1) |
(fma.f64 y y #s(literal -1 binary64)) |
(- (pow y 2) 1) |
(fma.f64 y y #s(literal -1 binary64)) |
(- (pow y 2) 1) |
(fma.f64 y y #s(literal -1 binary64)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(*.f64 y (fma.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(*.f64 y (fma.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(*.f64 y (fma.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(*.f64 y (fma.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(*.f64 y (fma.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(*.f64 y (fma.f64 y (/.f64 #s(literal -1 binary64) (*.f64 y y)) y)) |
(* y (- y 1)) |
(*.f64 y (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (* x (* y (- y 1)))) (* y (- y 1))) |
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (* x (* y (- y 1)))) (* y (- y 1))) |
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) y)) |
(+ (* -1 (* x (* y (- y 1)))) (* y (- y 1))) |
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) y)) |
(* -1 (* x (* y (- y 1)))) |
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x))) |
(*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 y x) y))) |
(* x (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x))) |
(*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 y x) y))) |
(* x (+ (* -1 (* y (- y 1))) (/ (* y (- y 1)) x))) |
(*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 y x) y))) |
(* -1 (* x (* y (- y 1)))) |
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1))))) |
(*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 y x) y))) |
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1))))) |
(*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 y x) y))) |
(* -1 (* x (+ (* -1 (/ (* y (- y 1)) x)) (* y (- y 1))))) |
(*.f64 x (*.f64 (+.f64 #s(literal -1 binary64) y) (-.f64 (/.f64 y x) y))) |
(* -1 (* y (- 1 x))) |
(*.f64 y (+.f64 #s(literal -1 binary64) x)) |
(* y (+ (* -1 (- 1 x)) (* y (- 1 x)))) |
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) y)) |
(* y (+ (* -1 (- 1 x)) (* y (- 1 x)))) |
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) y)) |
(* y (+ (* -1 (- 1 x)) (* y (- 1 x)))) |
(*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) y)) |
(* (pow y 2) (- 1 x)) |
(*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(*.f64 y (fma.f64 y (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x) y)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(*.f64 y (fma.f64 y (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x) y)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(*.f64 y (fma.f64 y (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x) y)) |
(* (pow y 2) (- 1 x)) |
(*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(*.f64 y (fma.f64 y (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x) y)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(*.f64 y (fma.f64 y (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x) y)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(*.f64 y (fma.f64 y (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x) y)) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* y (- y 1)) |
(*.f64 y (+.f64 #s(literal -1 binary64) y)) |
(* y (- y 1)) |
(*.f64 y (+.f64 #s(literal -1 binary64) y)) |
(* y (- y 1)) |
(*.f64 y (+.f64 #s(literal -1 binary64) y)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 y (+.f64 #s(literal -1 binary64) y)) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 y (+.f64 #s(literal -1 binary64) y)) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 y (+.f64 #s(literal -1 binary64) y)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 y (+.f64 #s(literal -1 binary64) y)) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 y (+.f64 #s(literal -1 binary64) y)) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 y (+.f64 #s(literal -1 binary64) y)) |
Compiled 41 207 to 3 390 computations (91.8% saved)
17 alts after pruning (16 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 444 | 10 | 1 454 |
| Fresh | 3 | 6 | 9 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 451 | 17 | 1 468 |
| Status | Accuracy | Program |
|---|---|---|
| 47.7% | (fma.f64 (/.f64 (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (+.f64 y #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| ▶ | 54.0% | (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) |
| 35.5% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 y (+.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) | |
| ▶ | 46.6% | (fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
| ▶ | 54.6% | (fma.f64 (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 36.4% | (fma.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) | |
| ▶ | 47.5% | (fma.f64 y x #s(literal 1 binary64)) |
| 47.2% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) | |
| 54.0% | (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) | |
| 36.3% | (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) | |
| 29.2% | (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) | |
| 34.9% | (-.f64 #s(literal 1 binary64) y) | |
| 13.7% | (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) | |
| 14.5% | (*.f64 y x) | |
| 51.9% | (*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y))) | |
| ▶ | 39.9% | x |
| ✓ | 35.5% | #s(literal 1 binary64) |
Compiled 621 to 247 computations (60.2% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) |
| ✓ | cost-diff | 0 | (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) |
| ✓ | cost-diff | 0 | (+.f64 y #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (*.f64 y (+.f64 y #s(literal -1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 y x #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) |
| ✓ | cost-diff | 64 | (fma.f64 (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| ✓ | cost-diff | 128 | (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
| 16 370× | accelerator-lowering-fma.f32 |
| 16 370× | accelerator-lowering-fma.f64 |
| 3 324× | *-lowering-*.f32 |
| 3 324× | *-lowering-*.f64 |
| 2 330× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 142 |
| 1 | 72 | 141 |
| 2 | 251 | 140 |
| 3 | 1106 | 140 |
| 4 | 4597 | 140 |
| 0 | 8166 | 134 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ (* (neg (/ (* (- 1 x) y) (+ (* y (* y y)) 1))) (+ (* y (+ y -1)) 1)) 1) |
(neg (/ (* (- 1 x) y) (+ (* y (* y y)) 1))) |
(/ (* (- 1 x) y) (+ (* y (* y y)) 1)) |
(* (- 1 x) y) |
(- 1 x) |
1 |
x |
y |
(+ (* y (* y y)) 1) |
(* y y) |
(+ (* y (+ y -1)) 1) |
(+ y -1) |
-1 |
x |
(+ (* y x) 1) |
y |
x |
1 |
(+ (* (- 1 x) (* y (+ y -1))) 1) |
(- 1 x) |
1 |
x |
(* y (+ y -1)) |
y |
(+ y -1) |
-1 |
(+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) |
(/ (- 1 x) y) |
(- 1 x) |
1 |
x |
y |
(- 1 (/ 1 y)) |
(/ 1 y) |
| Outputs |
|---|
(+ (* (neg (/ (* (- 1 x) y) (+ (* y (* y y)) 1))) (+ (* y (+ y -1)) 1)) 1) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (*.f64 y (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(neg (/ (* (- 1 x) y) (+ (* y (* y y)) 1))) |
(fma.f64 (/.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64))) (+.f64 x #s(literal -1 binary64)) #s(literal 0 binary64)) |
(/ (* (- 1 x) y) (+ (* y (* y y)) 1)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64))) #s(literal 0 binary64)) |
(* (- 1 x) y) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) y #s(literal 0 binary64)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
y |
(+ (* y (* y y)) 1) |
(fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* y y) |
(fma.f64 y y #s(literal 0 binary64)) |
(+ (* y (+ y -1)) 1) |
(fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ y -1) |
(+.f64 y #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
x |
(+ (* y x) 1) |
(fma.f64 x y #s(literal 1 binary64)) |
y |
x |
1 |
#s(literal 1 binary64) |
(+ (* (- 1 x) (* y (+ y -1))) 1) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
(* y (+ y -1)) |
(*.f64 y (+.f64 y #s(literal -1 binary64))) |
y |
(+ y -1) |
(+.f64 y #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
(+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) x) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
x |
y |
(- 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1 binary64) x) y) |
| ✓ | accuracy | 99.9% | (fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 y #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (*.f64 y (+.f64 y #s(literal -1 binary64))) |
| ✓ | accuracy | 99.9% | (fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (fma.f64 y x #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) |
| ✓ | accuracy | 78.4% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) |
| ✓ | accuracy | 61.6% | (fma.f64 (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
| 37.0ms | 187× | 0 | valid |
| 19.0ms | 53× | 1 | valid |
| 8.0ms | 16× | 2 | valid |
Compiled 142 to 27 computations (81% saved)
ival-mult: 15.0ms (34.9% of total)ival-add: 12.0ms (27.9% of total)ival-div: 7.0ms (16.3% of total)ival-sub: 4.0ms (9.3% of total)adjust: 3.0ms (7% of total)ival-neg: 2.0ms (4.6% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (neg (/ (* (- 1 x) y) (+ (* y (* y y)) 1)))> |
#<alt (+ (* (neg (/ (* (- 1 x) y) (+ (* y (* y y)) 1))) (+ (* y (+ y -1)) 1)) 1)> |
#<alt (/ (* (- 1 x) y) (+ (* y (* y y)) 1))> |
#<alt (- 1 x)> |
#<alt (+ (* y x) 1)> |
#<alt (+ (* (- 1 x) (* y (+ y -1))) 1)> |
#<alt (* y (+ y -1))> |
#<alt (+ y -1)> |
#<alt (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x)> |
#<alt (/ (- 1 x) y)> |
#<alt (- 1 (/ 1 y))> |
#<alt (+ (* y (* y y)) 1)> |
| Outputs |
|---|
#<alt (* -1 (/ y (+ 1 (pow y 3))))> |
#<alt (- (/ (* x y) (+ 1 (pow y 3))) (/ y (+ 1 (pow y 3))))> |
#<alt (- (/ (* x y) (+ 1 (pow y 3))) (/ y (+ 1 (pow y 3))))> |
#<alt (- (/ (* x y) (+ 1 (pow y 3))) (/ y (+ 1 (pow y 3))))> |
#<alt (/ (* x y) (+ 1 (pow y 3)))> |
#<alt (* x (- (* -1 (/ y (* x (+ 1 (pow y 3))))) (* -1 (/ y (+ 1 (pow y 3))))))> |
#<alt (* x (- (* -1 (/ y (* x (+ 1 (pow y 3))))) (* -1 (/ y (+ 1 (pow y 3))))))> |
#<alt (* x (- (* -1 (/ y (* x (+ 1 (pow y 3))))) (* -1 (/ y (+ 1 (pow y 3))))))> |
#<alt (/ (* x y) (+ 1 (pow y 3)))> |
#<alt (* -1 (* x (- (/ y (* x (+ 1 (pow y 3)))) (/ y (+ 1 (pow y 3))))))> |
#<alt (* -1 (* x (- (/ y (* x (+ 1 (pow y 3)))) (/ y (+ 1 (pow y 3))))))> |
#<alt (* -1 (* x (- (/ y (* x (+ 1 (pow y 3)))) (/ y (+ 1 (pow y 3))))))> |
#<alt (* y (- x 1))> |
#<alt (* y (- (+ x (* (pow y 3) (- 1 x))) 1))> |
#<alt (* y (- (+ x (* (pow y 3) (- (+ 1 (* (pow y 3) (- x 1))) x))) 1))> |
#<alt (* y (- (+ x (* (pow y 3) (- (+ 1 (* (pow y 3) (- (+ x (* (pow y 3) (- 1 x))) 1))) x))) 1))> |
#<alt (/ (- x 1) (pow y 2))> |
#<alt (/ (- (+ x (/ 1 (pow y 3))) (+ 1 (/ x (pow y 3)))) (pow y 2))> |
#<alt (/ (- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 6))) (/ 1 (pow y 3)))) (+ 1 (/ x (pow y 3)))) (pow y 2))> |
#<alt (/ (- (+ x (+ (/ 1 (pow y 3)) (/ 1 (pow y 9)))) (+ 1 (+ (* -1 (/ x (pow y 6))) (+ (/ 1 (pow y 6)) (+ (/ x (pow y 3)) (/ x (pow y 9))))))) (pow y 2))> |
#<alt (/ (- x 1) (pow y 2))> |
#<alt (/ (- (+ x (* -1 (/ (- x 1) (pow y 3)))) 1) (pow y 2))> |
#<alt (/ (- (+ x (* -1 (/ (- (* -1 (/ (- x 1) (pow y 3))) (* -1 (- x 1))) (pow y 3)))) 1) (pow y 2))> |
#<alt (/ (- (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) (pow y 3))) (* -1 (- x 1))) (pow y 3))) (* -1 (- x 1))) (pow y 3)))) 1) (pow y 2))> |
#<alt (+ 1 (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))))> |
#<alt (+ 1 (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))) (/ (* x (* y (+ 1 (* y (- y 1))))) (+ 1 (pow y 3)))))> |
#<alt (+ 1 (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))) (/ (* x (* y (+ 1 (* y (- y 1))))) (+ 1 (pow y 3)))))> |
#<alt (+ 1 (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))) (/ (* x (* y (+ 1 (* y (- y 1))))) (+ 1 (pow y 3)))))> |
#<alt (/ (* x (* y (+ 1 (* y (- y 1))))) (+ 1 (pow y 3)))> |
#<alt (* x (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (* x (+ 1 (pow y 3))))) (+ (/ 1 x) (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3))))))> |
#<alt (* x (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (* x (+ 1 (pow y 3))))) (+ (/ 1 x) (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3))))))> |
#<alt (* x (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (* x (+ 1 (pow y 3))))) (+ (/ 1 x) (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3))))))> |
#<alt (/ (* x (* y (+ 1 (* y (- y 1))))) (+ 1 (pow y 3)))> |
#<alt (* -1 (* x (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))) (* -1 (/ (+ 1 (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3))))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))) (* -1 (/ (+ 1 (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3))))) x)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))) (* -1 (/ (+ 1 (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3))))) x)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* y (- 1 x))))> |
#<alt (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))> |
#<alt (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- (+ 1 (* -1 (* y (- 1 x)))) x)))))> |
#<alt x> |
#<alt (+ x (* -1 (/ (- x 1) y)))> |
#<alt (- (+ x (+ (* -1 (/ (- x 1) y)) (/ x (pow y 2)))) (/ 1 (pow y 2)))> |
#<alt (- (+ x (+ (* -1 (/ (- x 1) y)) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3))))> |
#<alt (+ 1 (* -1 (- 1 x)))> |
#<alt (- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y))> |
#<alt (+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))))> |
#<alt (+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y))) y))))> |
#<alt (/ y (+ 1 (pow y 3)))> |
#<alt (+ (* -1 (/ (* x y) (+ 1 (pow y 3)))) (/ y (+ 1 (pow y 3))))> |
#<alt (+ (* -1 (/ (* x y) (+ 1 (pow y 3)))) (/ y (+ 1 (pow y 3))))> |
#<alt (+ (* -1 (/ (* x y) (+ 1 (pow y 3)))) (/ y (+ 1 (pow y 3))))> |
#<alt (* -1 (/ (* x y) (+ 1 (pow y 3))))> |
#<alt (* x (+ (* -1 (/ y (+ 1 (pow y 3)))) (/ y (* x (+ 1 (pow y 3))))))> |
#<alt (* x (+ (* -1 (/ y (+ 1 (pow y 3)))) (/ y (* x (+ 1 (pow y 3))))))> |
#<alt (* x (+ (* -1 (/ y (+ 1 (pow y 3)))) (/ y (* x (+ 1 (pow y 3))))))> |
#<alt (* -1 (/ (* x y) (+ 1 (pow y 3))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 (pow y 3))))) (/ y (+ 1 (pow y 3))))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 (pow y 3))))) (/ y (+ 1 (pow y 3))))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (* x (+ 1 (pow y 3))))) (/ y (+ 1 (pow y 3))))))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- (+ 1 (* (pow y 3) (- x 1))) x))> |
#<alt (* y (- (+ 1 (* (pow y 3) (- (+ x (* (pow y 3) (- 1 x))) 1))) x))> |
#<alt (* y (- (+ 1 (* (pow y 3) (- (+ x (* (pow y 3) (- (+ 1 (* (pow y 3) (- x 1))) x))) 1))) x))> |
#<alt (/ (- 1 x) (pow y 2))> |
#<alt (/ (- (+ 1 (/ x (pow y 3))) (+ x (/ 1 (pow y 3)))) (pow y 2))> |
#<alt (/ (- (+ 1 (+ (/ 1 (pow y 6)) (/ x (pow y 3)))) (+ x (+ (/ 1 (pow y 3)) (/ x (pow y 6))))) (pow y 2))> |
#<alt (/ (- (+ 1 (+ (/ 1 (pow y 6)) (+ (/ x (pow y 3)) (/ x (pow y 9))))) (+ x (+ (/ 1 (pow y 3)) (+ (/ 1 (pow y 9)) (/ x (pow y 6)))))) (pow y 2))> |
#<alt (/ (- 1 x) (pow y 2))> |
#<alt (/ (- (+ 1 (/ x (pow y 3))) (+ x (/ 1 (pow y 3)))) (pow y 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x (pow y 3))) (/ 1 (pow y 3))) (pow y 3)))) x) (pow y 2))> |
#<alt (/ (- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x (pow y 3))) (/ 1 (pow y 3))) (pow y 3)))) (pow y 3)))) x) (pow y 2))> |
#<alt 1> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (+ 1 (* -1 x))> |
#<alt (* -1 x)> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* x (- (/ 1 x) 1))> |
#<alt (* -1 x)> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt (* -1 (* x (- 1 (/ 1 x))))> |
#<alt 1> |
#<alt (+ 1 (* x y))> |
#<alt (+ 1 (* x y))> |
#<alt (+ 1 (* x y))> |
#<alt (* x y)> |
#<alt (* y (+ x (/ 1 y)))> |
#<alt (* y (+ x (/ 1 y)))> |
#<alt (* y (+ x (/ 1 y)))> |
#<alt (* x y)> |
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 x) (/ 1 y))))> |
#<alt 1> |
#<alt (+ 1 (* x y))> |
#<alt (+ 1 (* x y))> |
#<alt (+ 1 (* x y))> |
#<alt (* x y)> |
#<alt (* x (+ y (/ 1 x)))> |
#<alt (* x (+ y (/ 1 x)))> |
#<alt (* x (+ y (/ 1 x)))> |
#<alt (* x y)> |
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))> |
#<alt (* -1 (* x (- (* -1 y) (/ 1 x))))> |
#<alt (+ 1 (* y (- y 1)))> |
#<alt (+ 1 (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1))))> |
#<alt (+ 1 (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1))))> |
#<alt (+ 1 (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1))))> |
#<alt (* -1 (* x (* y (- y 1))))> |
#<alt (* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))))> |
#<alt (* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))))> |
#<alt (* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x))))> |
#<alt (* -1 (* x (* y (- y 1))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))> |
#<alt (* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1)))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* y (- 1 x))))> |
#<alt (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))> |
#<alt (+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x)))))> |
#<alt (* (pow y 2) (- 1 x))> |
#<alt (* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))> |
#<alt (* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) x))> |
#<alt (* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) x))> |
#<alt (* (pow y 2) (- 1 x))> |
#<alt (* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x))> |
#<alt (* (pow y 2) (- (+ 1 (* -1 (/ (- 1 (+ x (/ 1 y))) y))) x))> |
#<alt (* (pow y 2) (- (+ 1 (* -1 (/ (- 1 (+ x (/ 1 y))) y))) x))> |
#<alt (* -1 y)> |
#<alt (* y (- y 1))> |
#<alt (* y (- y 1))> |
#<alt (* y (- y 1))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (- 1 (/ 1 y)))> |
#<alt (* (pow y 2) (- 1 (/ 1 y)))> |
#<alt (* (pow y 2) (- 1 (/ 1 y)))> |
#<alt (pow y 2)> |
#<alt (* (pow y 2) (- 1 (/ 1 y)))> |
#<alt (* (pow y 2) (- 1 (/ 1 y)))> |
#<alt (* (pow y 2) (- 1 (/ 1 y)))> |
#<alt -1> |
#<alt (- y 1)> |
#<alt (- y 1)> |
#<alt (- y 1)> |
#<alt y> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt (* y (- 1 (/ 1 y)))> |
#<alt y> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (* -1 (* y (- (/ 1 y) 1)))> |
#<alt (- (/ 1 y) (/ 1 (pow y 2)))> |
#<alt (- (+ (* x (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))) (/ 1 y)) (/ 1 (pow y 2)))> |
#<alt (- (+ (* x (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))) (/ 1 y)) (/ 1 (pow y 2)))> |
#<alt (- (+ (* x (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))) (/ 1 y)) (/ 1 (pow y 2)))> |
#<alt (* x (+ 1 (* -1 (/ (- 1 (/ 1 y)) y))))> |
#<alt (* x (- (+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (/ 1 (* x y)))) (/ 1 (* x (pow y 2)))))> |
#<alt (* x (- (+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (/ 1 (* x y)))) (/ 1 (* x (pow y 2)))))> |
#<alt (* x (- (+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (/ 1 (* x y)))) (/ 1 (* x (pow y 2)))))> |
#<alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2))))))> |
#<alt (* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2))))))> |
#<alt (* -1 (/ (- 1 x) (pow y 2)))> |
#<alt (/ (+ (* -1 (- 1 x)) (* y (- 1 x))) (pow y 2))> |
#<alt (/ (+ (* -1 (- 1 x)) (* y (- (+ 1 (* x y)) x))) (pow y 2))> |
#<alt (/ (+ (* -1 (- 1 x)) (* y (- (+ 1 (* x y)) x))) (pow y 2))> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (+ (* -1 (/ (- 1 x) (pow y 2))) (/ 1 y))) (/ x y))> |
#<alt (- (+ x (+ (* -1 (/ (- 1 x) (pow y 2))) (/ 1 y))) (/ x y))> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (+ x (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))> |
#<alt (+ x (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))> |
#<alt (/ 1 y)> |
#<alt (+ (* -1 (/ x y)) (/ 1 y))> |
#<alt (+ (* -1 (/ x y)) (/ 1 y))> |
#<alt (+ (* -1 (/ x y)) (/ 1 y))> |
#<alt (* -1 (/ x y))> |
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))> |
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))> |
#<alt (* x (- (/ 1 (* x y)) (/ 1 y)))> |
#<alt (* -1 (/ x y))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))> |
#<alt (* -1 (* x (- (/ 1 y) (/ 1 (* x y)))))> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- 1 x) y)> |
#<alt (/ -1 y)> |
#<alt (/ (- y 1) y)> |
#<alt (/ (- y 1) y)> |
#<alt (/ (- y 1) y)> |
#<alt 1> |
#<alt (- 1 (/ 1 y))> |
#<alt (- 1 (/ 1 y))> |
#<alt (- 1 (/ 1 y))> |
#<alt 1> |
#<alt (- 1 (/ 1 y))> |
#<alt (- 1 (/ 1 y))> |
#<alt (- 1 (/ 1 y))> |
#<alt 1> |
#<alt (+ 1 (pow y 3))> |
#<alt (+ 1 (pow y 3))> |
#<alt (+ 1 (pow y 3))> |
#<alt (pow y 3)> |
#<alt (* (pow y 3) (+ 1 (/ 1 (pow y 3))))> |
#<alt (* (pow y 3) (+ 1 (/ 1 (pow y 3))))> |
#<alt (* (pow y 3) (+ 1 (/ 1 (pow y 3))))> |
#<alt (pow y 3)> |
#<alt (* (pow y 3) (+ 1 (/ 1 (pow y 3))))> |
#<alt (* (pow y 3) (+ 1 (/ 1 (pow y 3))))> |
#<alt (* (pow y 3) (+ 1 (/ 1 (pow y 3))))> |
57 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | 0 | (+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) |
| 3.0ms | x | @ | 0 | (neg (/ (* (- 1 x) y) (+ (* y (* y y)) 1))) |
| 1.0ms | x | @ | 0 | (+ (* (neg (/ (* (- 1 x) y) (+ (* y (* y y)) 1))) (+ (* y (+ y -1)) 1)) 1) |
| 1.0ms | x | @ | inf | (+ (* (neg (/ (* (- 1 x) y) (+ (* y (* y y)) 1))) (+ (* y (+ y -1)) 1)) 1) |
| 1.0ms | x | @ | -inf | (+ (* (neg (/ (* (- 1 x) y) (+ (* y (* y y)) 1))) (+ (* y (+ y -1)) 1)) 1) |
| 1× | batch-egg-rewrite |
| 5 220× | /-lowering-/.f32 |
| 5 220× | /-lowering-/.f64 |
| 5 166× | accelerator-lowering-fma.f32 |
| 5 166× | accelerator-lowering-fma.f64 |
| 3 622× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 100 |
| 1 | 182 | 99 |
| 2 | 1816 | 99 |
| 0 | 8641 | 95 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(neg (/ (* (- 1 x) y) (+ (* y (* y y)) 1))) |
(+ (* (neg (/ (* (- 1 x) y) (+ (* y (* y y)) 1))) (+ (* y (+ y -1)) 1)) 1) |
(/ (* (- 1 x) y) (+ (* y (* y y)) 1)) |
(- 1 x) |
(+ (* y x) 1) |
(+ (* (- 1 x) (* y (+ y -1))) 1) |
(* y (+ y -1)) |
(+ y -1) |
(+ (* (/ (- 1 x) y) (- 1 (/ 1 y))) x) |
(/ (- 1 x) y) |
(- 1 (/ 1 y)) |
(+ (* y (* y y)) 1) |
| Outputs |
|---|
(+.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (neg.f64 (fma.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))))) (/.f64 (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 #s(literal 0 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))))) |
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(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) |
(+.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) |
(fma.f64 y (*.f64 y y) #s(literal 1 binary64)) |
(fma.f64 (*.f64 y y) y #s(literal 1 binary64)) |
(fma.f64 (*.f64 y (*.f64 y y)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (pow.f64 y #s(literal 3/2 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y (*.f64 y y)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))))) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(/.f64 (fma.f64 (*.f64 y y) (-.f64 #s(literal 0 binary64) y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1 binary64)) (-.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y (*.f64 y y))))) |
(/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y (*.f64 y y)))))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (neg.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (-.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) |
| 1× | egg-herbie |
| 13 760× | accelerator-lowering-fma.f32 |
| 13 760× | accelerator-lowering-fma.f64 |
| 5 170× | +-lowering-+.f64 |
| 5 170× | +-lowering-+.f32 |
| 3 936× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 299 | 2701 |
| 1 | 934 | 2421 |
| 2 | 3086 | 2174 |
| 0 | 8610 | 2083 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y (+ 1 (pow y 3)))) |
(- (/ (* x y) (+ 1 (pow y 3))) (/ y (+ 1 (pow y 3)))) |
(- (/ (* x y) (+ 1 (pow y 3))) (/ y (+ 1 (pow y 3)))) |
(- (/ (* x y) (+ 1 (pow y 3))) (/ y (+ 1 (pow y 3)))) |
(/ (* x y) (+ 1 (pow y 3))) |
(* x (- (* -1 (/ y (* x (+ 1 (pow y 3))))) (* -1 (/ y (+ 1 (pow y 3)))))) |
(* x (- (* -1 (/ y (* x (+ 1 (pow y 3))))) (* -1 (/ y (+ 1 (pow y 3)))))) |
(* x (- (* -1 (/ y (* x (+ 1 (pow y 3))))) (* -1 (/ y (+ 1 (pow y 3)))))) |
(/ (* x y) (+ 1 (pow y 3))) |
(* -1 (* x (- (/ y (* x (+ 1 (pow y 3)))) (/ y (+ 1 (pow y 3)))))) |
(* -1 (* x (- (/ y (* x (+ 1 (pow y 3)))) (/ y (+ 1 (pow y 3)))))) |
(* -1 (* x (- (/ y (* x (+ 1 (pow y 3)))) (/ y (+ 1 (pow y 3)))))) |
(* y (- x 1)) |
(* y (- (+ x (* (pow y 3) (- 1 x))) 1)) |
(* y (- (+ x (* (pow y 3) (- (+ 1 (* (pow y 3) (- x 1))) x))) 1)) |
(* y (- (+ x (* (pow y 3) (- (+ 1 (* (pow y 3) (- (+ x (* (pow y 3) (- 1 x))) 1))) x))) 1)) |
(/ (- x 1) (pow y 2)) |
(/ (- (+ x (/ 1 (pow y 3))) (+ 1 (/ x (pow y 3)))) (pow y 2)) |
(/ (- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 6))) (/ 1 (pow y 3)))) (+ 1 (/ x (pow y 3)))) (pow y 2)) |
(/ (- (+ x (+ (/ 1 (pow y 3)) (/ 1 (pow y 9)))) (+ 1 (+ (* -1 (/ x (pow y 6))) (+ (/ 1 (pow y 6)) (+ (/ x (pow y 3)) (/ x (pow y 9))))))) (pow y 2)) |
(/ (- x 1) (pow y 2)) |
(/ (- (+ x (* -1 (/ (- x 1) (pow y 3)))) 1) (pow y 2)) |
(/ (- (+ x (* -1 (/ (- (* -1 (/ (- x 1) (pow y 3))) (* -1 (- x 1))) (pow y 3)))) 1) (pow y 2)) |
(/ (- (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) (pow y 3))) (* -1 (- x 1))) (pow y 3))) (* -1 (- x 1))) (pow y 3)))) 1) (pow y 2)) |
(+ 1 (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3))))) |
(+ 1 (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))) (/ (* x (* y (+ 1 (* y (- y 1))))) (+ 1 (pow y 3))))) |
(+ 1 (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))) (/ (* x (* y (+ 1 (* y (- y 1))))) (+ 1 (pow y 3))))) |
(+ 1 (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))) (/ (* x (* y (+ 1 (* y (- y 1))))) (+ 1 (pow y 3))))) |
(/ (* x (* y (+ 1 (* y (- y 1))))) (+ 1 (pow y 3))) |
(* x (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (* x (+ 1 (pow y 3))))) (+ (/ 1 x) (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))))) |
(* x (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (* x (+ 1 (pow y 3))))) (+ (/ 1 x) (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))))) |
(* x (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (* x (+ 1 (pow y 3))))) (+ (/ 1 x) (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))))) |
(/ (* x (* y (+ 1 (* y (- y 1))))) (+ 1 (pow y 3))) |
(* -1 (* x (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))) (* -1 (/ (+ 1 (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3))))) x))))) |
(* -1 (* x (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))) (* -1 (/ (+ 1 (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3))))) x))))) |
(* -1 (* x (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))) (* -1 (/ (+ 1 (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3))))) x))))) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- (+ 1 (* -1 (* y (- 1 x)))) x))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(- (+ x (+ (* -1 (/ (- x 1) y)) (/ x (pow y 2)))) (/ 1 (pow y 2))) |
(- (+ x (+ (* -1 (/ (- x 1) y)) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) |
(+ 1 (* -1 (- 1 x))) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y))) y)))) |
(/ y (+ 1 (pow y 3))) |
(+ (* -1 (/ (* x y) (+ 1 (pow y 3)))) (/ y (+ 1 (pow y 3)))) |
(+ (* -1 (/ (* x y) (+ 1 (pow y 3)))) (/ y (+ 1 (pow y 3)))) |
(+ (* -1 (/ (* x y) (+ 1 (pow y 3)))) (/ y (+ 1 (pow y 3)))) |
(* -1 (/ (* x y) (+ 1 (pow y 3)))) |
(* x (+ (* -1 (/ y (+ 1 (pow y 3)))) (/ y (* x (+ 1 (pow y 3)))))) |
(* x (+ (* -1 (/ y (+ 1 (pow y 3)))) (/ y (* x (+ 1 (pow y 3)))))) |
(* x (+ (* -1 (/ y (+ 1 (pow y 3)))) (/ y (* x (+ 1 (pow y 3)))))) |
(* -1 (/ (* x y) (+ 1 (pow y 3)))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 (pow y 3))))) (/ y (+ 1 (pow y 3)))))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 (pow y 3))))) (/ y (+ 1 (pow y 3)))))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 (pow y 3))))) (/ y (+ 1 (pow y 3)))))) |
(* y (- 1 x)) |
(* y (- (+ 1 (* (pow y 3) (- x 1))) x)) |
(* y (- (+ 1 (* (pow y 3) (- (+ x (* (pow y 3) (- 1 x))) 1))) x)) |
(* y (- (+ 1 (* (pow y 3) (- (+ x (* (pow y 3) (- (+ 1 (* (pow y 3) (- x 1))) x))) 1))) x)) |
(/ (- 1 x) (pow y 2)) |
(/ (- (+ 1 (/ x (pow y 3))) (+ x (/ 1 (pow y 3)))) (pow y 2)) |
(/ (- (+ 1 (+ (/ 1 (pow y 6)) (/ x (pow y 3)))) (+ x (+ (/ 1 (pow y 3)) (/ x (pow y 6))))) (pow y 2)) |
(/ (- (+ 1 (+ (/ 1 (pow y 6)) (+ (/ x (pow y 3)) (/ x (pow y 9))))) (+ x (+ (/ 1 (pow y 3)) (+ (/ 1 (pow y 9)) (/ x (pow y 6)))))) (pow y 2)) |
(/ (- 1 x) (pow y 2)) |
(/ (- (+ 1 (/ x (pow y 3))) (+ x (/ 1 (pow y 3)))) (pow y 2)) |
(/ (- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x (pow y 3))) (/ 1 (pow y 3))) (pow y 3)))) x) (pow y 2)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x (pow y 3))) (/ 1 (pow y 3))) (pow y 3)))) (pow y 3)))) x) (pow y 2)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(* x y) |
(* y (+ x (/ 1 y))) |
(* y (+ x (/ 1 y))) |
(* y (+ x (/ 1 y))) |
(* x y) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
1 |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(+ 1 (* x y)) |
(* x y) |
(* x (+ y (/ 1 x))) |
(* x (+ y (/ 1 x))) |
(* x (+ y (/ 1 x))) |
(* x y) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(+ 1 (* y (- y 1))) |
(+ 1 (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1)))) |
(+ 1 (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1)))) |
(+ 1 (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1)))) |
(* -1 (* x (* y (- y 1)))) |
(* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x)))) |
(* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x)))) |
(* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x)))) |
(* -1 (* x (* y (- y 1)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) |
1 |
(+ 1 (* -1 (* y (- 1 x)))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) |
(* (pow y 2) (- 1 x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) x)) |
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) x)) |
(* (pow y 2) (- 1 x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 (+ x (/ 1 y))) y))) x)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 (+ x (/ 1 y))) y))) x)) |
(* -1 y) |
(* y (- y 1)) |
(* y (- y 1)) |
(* y (- y 1)) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- 1 (/ 1 y))) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- 1 (/ 1 y))) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(- (/ 1 y) (/ 1 (pow y 2))) |
(- (+ (* x (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))) (/ 1 y)) (/ 1 (pow y 2))) |
(- (+ (* x (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))) (/ 1 y)) (/ 1 (pow y 2))) |
(- (+ (* x (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))) (/ 1 y)) (/ 1 (pow y 2))) |
(* x (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))) |
(* x (- (+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (/ 1 (* x y)))) (/ 1 (* x (pow y 2))))) |
(* x (- (+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (/ 1 (* x y)))) (/ 1 (* x (pow y 2))))) |
(* x (- (+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (/ 1 (* x y)))) (/ 1 (* x (pow y 2))))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2)))))) |
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2)))))) |
(* -1 (/ (- 1 x) (pow y 2))) |
(/ (+ (* -1 (- 1 x)) (* y (- 1 x))) (pow y 2)) |
(/ (+ (* -1 (- 1 x)) (* y (- (+ 1 (* x y)) x))) (pow y 2)) |
(/ (+ (* -1 (- 1 x)) (* y (- (+ 1 (* x y)) x))) (pow y 2)) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (+ (* -1 (/ (- 1 x) (pow y 2))) (/ 1 y))) (/ x y)) |
(- (+ x (+ (* -1 (/ (- 1 x) (pow y 2))) (/ 1 y))) (/ x y)) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(+ x (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) |
(+ x (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ -1 y) |
(/ (- y 1) y) |
(/ (- y 1) y) |
(/ (- y 1) y) |
1 |
(- 1 (/ 1 y)) |
(- 1 (/ 1 y)) |
(- 1 (/ 1 y)) |
1 |
(- 1 (/ 1 y)) |
(- 1 (/ 1 y)) |
(- 1 (/ 1 y)) |
1 |
(+ 1 (pow y 3)) |
(+ 1 (pow y 3)) |
(+ 1 (pow y 3)) |
(pow y 3) |
(* (pow y 3) (+ 1 (/ 1 (pow y 3)))) |
(* (pow y 3) (+ 1 (/ 1 (pow y 3)))) |
(* (pow y 3) (+ 1 (/ 1 (pow y 3)))) |
(pow y 3) |
(* (pow y 3) (+ 1 (/ 1 (pow y 3)))) |
(* (pow y 3) (+ 1 (/ 1 (pow y 3)))) |
(* (pow y 3) (+ 1 (/ 1 (pow y 3)))) |
| Outputs |
|---|
(* -1 (/ y (+ 1 (pow y 3)))) |
(/.f64 y (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
(- (/ (* x y) (+ 1 (pow y 3))) (/ y (+ 1 (pow y 3)))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) x)) |
(- (/ (* x y) (+ 1 (pow y 3))) (/ y (+ 1 (pow y 3)))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) x)) |
(- (/ (* x y) (+ 1 (pow y 3))) (/ y (+ 1 (pow y 3)))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) x)) |
(/ (* x y) (+ 1 (pow y 3))) |
(*.f64 y (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
(* x (- (* -1 (/ y (* x (+ 1 (pow y 3))))) (* -1 (/ y (+ 1 (pow y 3)))))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) x)) |
(* x (- (* -1 (/ y (* x (+ 1 (pow y 3))))) (* -1 (/ y (+ 1 (pow y 3)))))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) x)) |
(* x (- (* -1 (/ y (* x (+ 1 (pow y 3))))) (* -1 (/ y (+ 1 (pow y 3)))))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) x)) |
(/ (* x y) (+ 1 (pow y 3))) |
(*.f64 y (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
(* -1 (* x (- (/ y (* x (+ 1 (pow y 3)))) (/ y (+ 1 (pow y 3)))))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) x)) |
(* -1 (* x (- (/ y (* x (+ 1 (pow y 3)))) (/ y (+ 1 (pow y 3)))))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) x)) |
(* -1 (* x (- (/ y (* x (+ 1 (pow y 3)))) (/ y (+ 1 (pow y 3)))))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 #s(literal -1 binary64) x)) |
(* y (- x 1)) |
(*.f64 y (+.f64 #s(literal -1 binary64) x)) |
(* y (- (+ x (* (pow y 3) (- 1 x))) 1)) |
(*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) |
(* y (- (+ x (* (pow y 3) (- (+ 1 (* (pow y 3) (- x 1))) x))) 1)) |
(*.f64 y (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x))) |
(* y (- (+ x (* (pow y 3) (- (+ 1 (* (pow y 3) (- (+ x (* (pow y 3) (- 1 x))) 1))) x))) 1)) |
(*.f64 y (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) x))) |
(/ (- x 1) (pow y 2)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 y y)) |
(/ (- (+ x (/ 1 (pow y 3))) (+ 1 (/ x (pow y 3)))) (pow y 2)) |
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 y y))) (+.f64 #s(literal -1 binary64) x)) (*.f64 y y)) |
(/ (- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 6))) (/ 1 (pow y 3)))) (+ 1 (/ x (pow y 3)))) (pow y 2)) |
(/.f64 (-.f64 x (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 y (*.f64 y y))) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 y y)) |
(/ (- (+ x (+ (/ 1 (pow y 3)) (/ 1 (pow y 9)))) (+ 1 (+ (* -1 (/ x (pow y 6))) (+ (/ 1 (pow y 6)) (+ (/ x (pow y 3)) (/ x (pow y 9))))))) (pow y 2)) |
(/.f64 (-.f64 (+.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (+.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 9 binary64)))) #s(literal 1 binary64)))) (*.f64 y y)) |
(/ (- x 1) (pow y 2)) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 y y)) |
(/ (- (+ x (* -1 (/ (- x 1) (pow y 3)))) 1) (pow y 2)) |
(/.f64 (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 y y))) (+.f64 #s(literal -1 binary64) x)) (*.f64 y y)) |
(/ (- (+ x (* -1 (/ (- (* -1 (/ (- x 1) (pow y 3))) (* -1 (- x 1))) (pow y 3)))) 1) (pow y 2)) |
(/.f64 (-.f64 x (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 y (*.f64 y y))) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 y y)) |
(/ (- (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- x 1) (pow y 3))) (* -1 (- x 1))) (pow y 3))) (* -1 (- x 1))) (pow y 3)))) 1) (pow y 2)) |
(/.f64 (+.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 y (*.f64 y y))) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (*.f64 y (*.f64 y y)))) (*.f64 y y)) |
(+ 1 (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3))))) |
(fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))) (/ (* x (* y (+ 1 (* y (- y 1))))) (+ 1 (pow y 3))))) |
(fma.f64 (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))) (/ (* x (* y (+ 1 (* y (- y 1))))) (+ 1 (pow y 3))))) |
(fma.f64 (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))) (/ (* x (* y (+ 1 (* y (- y 1))))) (+ 1 (pow y 3))))) |
(fma.f64 (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (*.f64 y (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
(/ (* x (* y (+ 1 (* y (- y 1))))) (+ 1 (pow y 3))) |
(*.f64 (*.f64 y x) (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
(* x (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (* x (+ 1 (pow y 3))))) (+ (/ 1 x) (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))))) |
(fma.f64 x (*.f64 (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) y)) #s(literal 1 binary64)) |
(* x (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (* x (+ 1 (pow y 3))))) (+ (/ 1 x) (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))))) |
(fma.f64 x (*.f64 (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) y)) #s(literal 1 binary64)) |
(* x (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (* x (+ 1 (pow y 3))))) (+ (/ 1 x) (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))))) |
(fma.f64 x (*.f64 (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) y)) #s(literal 1 binary64)) |
(/ (* x (* y (+ 1 (* y (- y 1))))) (+ 1 (pow y 3))) |
(*.f64 (*.f64 y x) (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) |
(* -1 (* x (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))) (* -1 (/ (+ 1 (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3))))) x))))) |
(fma.f64 x (*.f64 (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) y)) #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))) (* -1 (/ (+ 1 (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3))))) x))))) |
(fma.f64 x (*.f64 (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) y)) #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3)))) (* -1 (/ (+ 1 (* -1 (/ (* y (+ 1 (* y (- y 1)))) (+ 1 (pow y 3))))) x))))) |
(fma.f64 x (*.f64 (/.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 0 binary64) (/.f64 y x)) y)) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- (+ 1 (* -1 (* y (- 1 x)))) x))))) |
(fma.f64 y (fma.f64 y (*.f64 (+.f64 #s(literal -1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal -1 binary64) x)) #s(literal 1 binary64)) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(-.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y)) |
(- (+ x (+ (* -1 (/ (- x 1) y)) (/ x (pow y 2)))) (/ 1 (pow y 2))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 y y)) x) |
(- (+ x (+ (* -1 (/ (- x 1) y)) (+ (/ 1 (pow y 3)) (/ x (pow y 2))))) (+ (/ 1 (pow y 2)) (/ x (pow y 3)))) |
(+.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) (+.f64 x (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (/.f64 x (*.f64 y (*.f64 y y)))))) |
(+ 1 (* -1 (- 1 x))) |
(+.f64 #s(literal 0 binary64) x) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(+.f64 (+.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 y y)) (+.f64 #s(literal 0 binary64) x)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y))) y))) y)))) |
(+.f64 (+.f64 #s(literal 0 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 y y)) x)) y)) |
(/ y (+ 1 (pow y 3))) |
(/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) |
(+ (* -1 (/ (* x y) (+ 1 (pow y 3)))) (/ y (+ 1 (pow y 3)))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(+ (* -1 (/ (* x y) (+ 1 (pow y 3)))) (/ y (+ 1 (pow y 3)))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(+ (* -1 (/ (* x y) (+ 1 (pow y 3)))) (/ y (+ 1 (pow y 3)))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (/ (* x y) (+ 1 (pow y 3)))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(* x (+ (* -1 (/ y (+ 1 (pow y 3)))) (/ y (* x (+ 1 (pow y 3)))))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(* x (+ (* -1 (/ y (+ 1 (pow y 3)))) (/ y (* x (+ 1 (pow y 3)))))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(* x (+ (* -1 (/ y (+ 1 (pow y 3)))) (/ y (* x (+ 1 (pow y 3)))))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (/ (* x y) (+ 1 (pow y 3)))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 (pow y 3))))) (/ y (+ 1 (pow y 3)))))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 (pow y 3))))) (/ y (+ 1 (pow y 3)))))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (+ (* -1 (/ y (* x (+ 1 (pow y 3))))) (/ y (+ 1 (pow y 3)))))) |
(*.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- (+ 1 (* (pow y 3) (- x 1))) x)) |
(*.f64 y (*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) |
(* y (- (+ 1 (* (pow y 3) (- (+ x (* (pow y 3) (- 1 x))) 1))) x)) |
(*.f64 y (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) x))) |
(* y (- (+ 1 (* (pow y 3) (- (+ x (* (pow y 3) (- (+ 1 (* (pow y 3) (- x 1))) x))) 1))) x)) |
(*.f64 y (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 #s(literal -1 binary64) x) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal -1 binary64) x)) (-.f64 #s(literal 1 binary64) x))) |
(/ (- 1 x) (pow y 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) |
(/ (- (+ 1 (/ x (pow y 3))) (+ x (/ 1 (pow y 3)))) (pow y 2)) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 y (*.f64 y y)))) (*.f64 y y)) |
(/ (- (+ 1 (+ (/ 1 (pow y 6)) (/ x (pow y 3)))) (+ x (+ (/ 1 (pow y 3)) (/ x (pow y 6))))) (pow y 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (+.f64 (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 y (*.f64 y y))) x) (/.f64 x (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))))) (*.f64 y y)) |
(/ (- (+ 1 (+ (/ 1 (pow y 6)) (+ (/ x (pow y 3)) (/ x (pow y 9))))) (+ x (+ (/ 1 (pow y 3)) (+ (/ 1 (pow y 9)) (/ x (pow y 6)))))) (pow y 2)) |
(/.f64 (+.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (+.f64 (+.f64 (/.f64 x (*.f64 y (*.f64 y y))) (/.f64 x (pow.f64 y #s(literal 9 binary64)))) (-.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) x) (+.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 9 binary64))) (/.f64 x (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))))))) (*.f64 y y)) |
(/ (- 1 x) (pow y 2)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) |
(/ (- (+ 1 (/ x (pow y 3))) (+ x (/ 1 (pow y 3)))) (pow y 2)) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 y (*.f64 y y)))) (*.f64 y y)) |
(/ (- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x (pow y 3))) (/ 1 (pow y 3))) (pow y 3)))) x) (pow y 2)) |
(/.f64 (-.f64 (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 y (*.f64 y y))) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64)) x) (*.f64 y y)) |
(/ (- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x (pow y 3))) (/ 1 (pow y 3))) (pow y 3)))) (pow y 3)))) x) (pow y 2)) |
(/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 x (fma.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 y (*.f64 y y))) (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 y (*.f64 y y)))) (*.f64 y y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 x) |
(-.f64 #s(literal 0 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ 1 y))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* y (+ x (/ 1 y))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* y (+ x (/ 1 y))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* -1 (* y (- (* -1 x) (/ 1 y)))) |
(fma.f64 y x #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* x y)) |
(fma.f64 y x #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* x (+ y (/ 1 x))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* x (+ y (/ 1 x))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* x (+ y (/ 1 x))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(fma.f64 y x #s(literal 1 binary64)) |
(* -1 (* x (- (* -1 y) (/ 1 x)))) |
(fma.f64 y x #s(literal 1 binary64)) |
(+ 1 (* y (- y 1))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1)))) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1)))) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (* x (* y (- y 1)))) (* y (- y 1)))) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* -1 (* x (* y (- y 1)))) |
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x)))) |
(fma.f64 x (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal -1 binary64) y) x))) #s(literal 1 binary64)) |
(* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x)))) |
(fma.f64 x (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal -1 binary64) y) x))) #s(literal 1 binary64)) |
(* x (+ (* -1 (* y (- y 1))) (+ (/ 1 x) (/ (* y (- y 1)) x)))) |
(fma.f64 x (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal -1 binary64) y) x))) #s(literal 1 binary64)) |
(* -1 (* x (* y (- y 1)))) |
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) |
(*.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) |
(*.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (* y (- y 1))) x)) (* y (- y 1))))) |
(*.f64 (fma.f64 y (+.f64 #s(literal -1 binary64) y) (/.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x)) (-.f64 #s(literal 0 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y (- 1 x)))) |
(fma.f64 y (+.f64 #s(literal -1 binary64) x) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (- 1 x))))) |
(fma.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64)) |
(* (pow y 2) (- 1 x)) |
(*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(*.f64 y (fma.f64 y (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x) y)) |
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) x)) |
(*.f64 y (fma.f64 y (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) y))) y) x) y)) |
(* (pow y 2) (- (+ 1 (+ (* -1 (/ (- 1 x) y)) (/ 1 (pow y 2)))) x)) |
(*.f64 y (fma.f64 y (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) y))) y) x) y)) |
(* (pow y 2) (- 1 x)) |
(*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 x) y))) x)) |
(*.f64 y (fma.f64 y (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) y) x) y)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 (+ x (/ 1 y))) y))) x)) |
(*.f64 y (fma.f64 y (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) y))) y) x) y)) |
(* (pow y 2) (- (+ 1 (* -1 (/ (- 1 (+ x (/ 1 y))) y))) x)) |
(*.f64 y (fma.f64 y (-.f64 (/.f64 (+.f64 #s(literal -1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) y))) y) x) y)) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* y (- y 1)) |
(*.f64 y (+.f64 #s(literal -1 binary64) y)) |
(* y (- y 1)) |
(*.f64 y (+.f64 #s(literal -1 binary64) y)) |
(* y (- y 1)) |
(*.f64 y (+.f64 #s(literal -1 binary64) y)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 y (+.f64 #s(literal -1 binary64) y)) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 y (+.f64 #s(literal -1 binary64) y)) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 y (+.f64 #s(literal -1 binary64) y)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 y (+.f64 #s(literal -1 binary64) y)) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 y (+.f64 #s(literal -1 binary64) y)) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 y (+.f64 #s(literal -1 binary64) y)) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
(- y 1) |
(+.f64 #s(literal -1 binary64) y) |
y |
(* y (- 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) y) |
(* y (- 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) y) |
(* y (- 1 (/ 1 y))) |
(+.f64 #s(literal -1 binary64) y) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 #s(literal -1 binary64) y) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 #s(literal -1 binary64) y) |
(* -1 (* y (- (/ 1 y) 1))) |
(+.f64 #s(literal -1 binary64) y) |
(- (/ 1 y) (/ 1 (pow y 2))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) |
(- (+ (* x (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))) (/ 1 y)) (/ 1 (pow y 2))) |
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) |
(- (+ (* x (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))) (/ 1 y)) (/ 1 (pow y 2))) |
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) |
(- (+ (* x (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))) (/ 1 y)) (/ 1 (pow y 2))) |
(+.f64 x (*.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y))) |
(* x (+ 1 (* -1 (/ (- 1 (/ 1 y)) y)))) |
(fma.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) y) x) |
(* x (- (+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (/ 1 (* x y)))) (/ 1 (* x (pow y 2))))) |
(fma.f64 x (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) y) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) x)) x) |
(* x (- (+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (/ 1 (* x y)))) (/ 1 (* x (pow y 2))))) |
(fma.f64 x (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) y) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) x)) x) |
(* x (- (+ 1 (+ (* -1 (/ (- 1 (/ 1 y)) y)) (/ 1 (* x y)))) (/ 1 (* x (pow y 2))))) |
(fma.f64 x (+.f64 (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) y) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) x)) x) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))))) |
(fma.f64 x (/.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) y) y) x) |
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2)))))) |
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) #s(literal -1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) x)))) |
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2)))))) |
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) #s(literal -1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) x)))) |
(* -1 (* x (- (+ (* -1 (/ (- (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) (+ 1 (/ 1 (pow y 2)))))) |
(*.f64 x (-.f64 #s(literal 0 binary64) (-.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) #s(literal -1 binary64)) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) x)))) |
(* -1 (/ (- 1 x) (pow y 2))) |
(/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 y y)) |
(/ (+ (* -1 (- 1 x)) (* y (- 1 x))) (pow y 2)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (*.f64 y y)) |
(/ (+ (* -1 (- 1 x)) (* y (- (+ 1 (* x y)) x))) (pow y 2)) |
(/.f64 (fma.f64 y (fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) x)) (*.f64 y y)) |
(/ (+ (* -1 (- 1 x)) (* y (- (+ 1 (* x y)) x))) (pow y 2)) |
(/.f64 (fma.f64 y (fma.f64 x (+.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) x)) (*.f64 y y)) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(-.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y)) |
(- (+ x (+ (* -1 (/ (- 1 x) (pow y 2))) (/ 1 y))) (/ x y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 y y)) x) |
(- (+ x (+ (* -1 (/ (- 1 x) (pow y 2))) (/ 1 y))) (/ x y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 y y)) x) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(-.f64 x (/.f64 (+.f64 #s(literal -1 binary64) x) y)) |
(+ x (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 y y)) x) |
(+ x (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 y y)) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (/ x y)) |
(-.f64 #s(literal 0 binary64) (/.f64 x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) y))) |
(* -1 (/ x y)) |
(-.f64 #s(literal 0 binary64) (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) y))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) y))) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ (- y 1) y) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(/ (- y 1) y) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(/ (- y 1) y) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(- 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(- 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(- 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(- 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow y 3)) |
(fma.f64 y (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (pow y 3)) |
(fma.f64 y (*.f64 y y) #s(literal 1 binary64)) |
(+ 1 (pow y 3)) |
(fma.f64 y (*.f64 y y) #s(literal 1 binary64)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(* (pow y 3) (+ 1 (/ 1 (pow y 3)))) |
(fma.f64 y (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 3) (+ 1 (/ 1 (pow y 3)))) |
(fma.f64 y (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 3) (+ 1 (/ 1 (pow y 3)))) |
(fma.f64 y (*.f64 y y) #s(literal 1 binary64)) |
(pow y 3) |
(*.f64 y (*.f64 y y)) |
(* (pow y 3) (+ 1 (/ 1 (pow y 3)))) |
(fma.f64 y (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 3) (+ 1 (/ 1 (pow y 3)))) |
(fma.f64 y (*.f64 y y) #s(literal 1 binary64)) |
(* (pow y 3) (+ 1 (/ 1 (pow y 3)))) |
(fma.f64 y (*.f64 y y) #s(literal 1 binary64)) |
Compiled 24 324 to 2 198 computations (91% saved)
20 alts after pruning (17 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 879 | 6 | 885 |
| Fresh | 0 | 11 | 11 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 882 | 20 | 902 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 35.6% | (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| 47.7% | (fma.f64 (/.f64 (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (+.f64 y #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| 35.5% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 y (+.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) | |
| 49.2% | (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 y y)) x) | |
| 53.9% | (fma.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) | |
| 36.4% | (fma.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) | |
| ✓ | 47.5% | (fma.f64 y x #s(literal 1 binary64)) |
| 47.2% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) | |
| ▶ | 15.6% | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) |
| 12.1% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (*.f64 y y)) | |
| ▶ | 54.0% | (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
| 36.3% | (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) | |
| 29.2% | (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) | |
| ▶ | 34.9% | (-.f64 #s(literal 1 binary64) y) |
| ▶ | 13.7% | (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) |
| 14.5% | (*.f64 y x) | |
| 51.9% | (*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y))) | |
| 13.7% | (*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) | |
| ✓ | 39.9% | x |
| ✓ | 35.5% | #s(literal 1 binary64) |
Compiled 680 to 289 computations (57.5% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) |
| ✓ | cost-diff | -64 | (*.f64 y x) |
| ✓ | cost-diff | -64 | (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (+.f64 x #s(literal -1 binary64)) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 x #s(literal -1 binary64)) y) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
| 4 608× | accelerator-lowering-fma.f32 |
| 4 608× | accelerator-lowering-fma.f64 |
| 1 360× | *-lowering-*.f32 |
| 1 360× | *-lowering-*.f64 |
| 776× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 102 |
| 1 | 43 | 102 |
| 2 | 85 | 102 |
| 3 | 188 | 102 |
| 4 | 446 | 102 |
| 5 | 953 | 102 |
| 6 | 2014 | 102 |
| 7 | 3509 | 102 |
| 8 | 4300 | 102 |
| 9 | 4427 | 102 |
| 10 | 4473 | 102 |
| 11 | 4532 | 102 |
| 12 | 4546 | 102 |
| 13 | 4672 | 102 |
| 14 | 4732 | 102 |
| 15 | 4732 | 102 |
| 0 | 4732 | 99 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(- x (/ (+ x -1) y)) |
x |
(/ (+ x -1) y) |
(+ x -1) |
-1 |
y |
(- 1 y) |
1 |
y |
(* (* y x) (- 1 y)) |
(* y x) |
y |
x |
(- 1 y) |
1 |
(/ (+ 1 (/ -1 y)) y) |
(+ 1 (/ -1 y)) |
1 |
(/ -1 y) |
-1 |
y |
(+ (* (+ (* y (- 1 y)) -1) (/ y (+ (* y (* y y)) 1))) 1) |
(+ (* y (- 1 y)) -1) |
y |
(- 1 y) |
1 |
-1 |
(/ y (+ (* y (* y y)) 1)) |
(+ (* y (* y y)) 1) |
(* y y) |
| Outputs |
|---|
(- x (/ (+ x -1) y)) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
x |
(/ (+ x -1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(+ x -1) |
(+.f64 x #s(literal -1 binary64)) |
-1 |
#s(literal -1 binary64) |
y |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(* (* y x) (- 1 y)) |
(fma.f64 x (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) #s(literal 0 binary64)) |
(* y x) |
(fma.f64 x y #s(literal 0 binary64)) |
y |
x |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
(/ (+ 1 (/ -1 y)) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) |
(+ 1 (/ -1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
1 |
#s(literal 1 binary64) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
-1 |
#s(literal -1 binary64) |
y |
(+ (* (+ (* y (- 1 y)) -1) (/ y (+ (* y (* y y)) 1))) 1) |
(fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(+ (* y (- 1 y)) -1) |
(fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
y |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
-1 |
#s(literal -1 binary64) |
(/ y (+ (* y (* y y)) 1)) |
(/.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64))) |
(+ (* y (* y y)) 1) |
(fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* y y) |
(fma.f64 y y #s(literal 0 binary64)) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (*.f64 y y) |
| ✓ | accuracy | 99.9% | (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) |
| ✓ | accuracy | 90.9% | (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) |
| ✓ | accuracy | 49.2% | (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal -1 binary64) y) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
| ✓ | accuracy | 99.9% | (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| ✓ | accuracy | 99.9% | (*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (+.f64 x #s(literal -1 binary64)) |
| ✓ | accuracy | 100.0% | (/.f64 (+.f64 x #s(literal -1 binary64)) y) |
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
| 31.0ms | 60× | 2 | valid |
| 24.0ms | 75× | 1 | valid |
| 18.0ms | 121× | 0 | valid |
Compiled 104 to 23 computations (77.9% saved)
ival-mult: 14.0ms (28.6% of total)ival-div: 11.0ms (22.4% of total)ival-add: 10.0ms (20.4% of total)adjust: 9.0ms (18.4% of total)ival-sub: 4.0ms (8.2% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (- x (/ (+ x -1) y))> |
#<alt (/ (+ x -1) y)> |
#<alt (+ x -1)> |
#<alt (- 1 y)> |
#<alt (* (* y x) (- 1 y))> |
#<alt (* y x)> |
#<alt (/ (+ 1 (/ -1 y)) y)> |
#<alt (+ 1 (/ -1 y))> |
#<alt (/ -1 y)> |
#<alt (+ (* (+ (* y (- 1 y)) -1) (/ y (+ (* y (* y y)) 1))) 1)> |
#<alt (+ (* y (- 1 y)) -1)> |
#<alt (/ y (+ (* y (* y y)) 1))> |
#<alt (+ (* y (* y y)) 1)> |
#<alt (* y y)> |
| Outputs |
|---|
#<alt (/ 1 y)> |
#<alt (+ (* x (- 1 (/ 1 y))) (/ 1 y))> |
#<alt (+ (* x (- 1 (/ 1 y))) (/ 1 y))> |
#<alt (+ (* x (- 1 (/ 1 y))) (/ 1 y))> |
#<alt (* x (- 1 (/ 1 y)))> |
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* x (- (+ 1 (/ 1 (* x y))) (/ 1 y)))> |
#<alt (* -1 (* x (- (/ 1 y) 1)))> |
#<alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))> |
#<alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))> |
#<alt (* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y))))))> |
#<alt (/ (- 1 x) y)> |
#<alt (/ (- (+ 1 (* x y)) x) y)> |
#<alt (/ (- (+ 1 (* x y)) x) y)> |
#<alt (/ (- (+ 1 (* x y)) x) y)> |
#<alt x> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt x> |
#<alt (+ x (* -1 (/ (- x 1) y)))> |
#<alt (+ x (* -1 (/ (- x 1) y)))> |
#<alt (+ x (* -1 (/ (- x 1) y)))> |
#<alt (/ -1 y)> |
#<alt (- (/ x y) (/ 1 y))> |
#<alt (- (/ x y) (/ 1 y))> |
#<alt (- (/ x y) (/ 1 y))> |
#<alt (/ x y)> |
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))> |
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))> |
#<alt (* x (- (/ 1 y) (/ 1 (* x y))))> |
#<alt (/ x y)> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))> |
#<alt (* -1 (* x (- (/ 1 (* x y)) (/ 1 y))))> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt (/ (- x 1) y)> |
#<alt -1> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt (- x 1)> |
#<alt x> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt (* x (- 1 (/ 1 x)))> |
#<alt x> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt (* -1 (* x (- (/ 1 x) 1)))> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* -1 y))> |
#<alt (* -1 y)> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* y (- (/ 1 y) 1))> |
#<alt (* -1 y)> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* -1 (* y (- 1 (/ 1 y))))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1 (* x y))))> |
#<alt (* y (+ x (* -1 (* x y))))> |
#<alt (* y (+ x (* -1 (* x y))))> |
#<alt (* -1 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))> |
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))> |
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))> |
#<alt (* -1 (* x (pow y 2)))> |
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))> |
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))> |
#<alt (* (pow y 2) (+ (* -1 x) (/ x y)))> |
#<alt (* x (* y (- 1 y)))> |
#<alt (* x (* y (- 1 y)))> |
#<alt (* x (* y (- 1 y)))> |
#<alt (* x (* y (- 1 y)))> |
#<alt (* x (* y (- 1 y)))> |
#<alt (* x (* y (- 1 y)))> |
#<alt (* x (* y (- 1 y)))> |
#<alt (* x (* y (- 1 y)))> |
#<alt (* x (* y (- 1 y)))> |
#<alt (* x (* y (- 1 y)))> |
#<alt (* x (* y (- 1 y)))> |
#<alt (* x (* y (- 1 y)))> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (* x y)> |
#<alt (/ -1 (pow y 2))> |
#<alt (/ (- y 1) (pow y 2))> |
#<alt (/ (- y 1) (pow y 2))> |
#<alt (/ (- y 1) (pow y 2))> |
#<alt (/ 1 y)> |
#<alt (/ (- 1 (/ 1 y)) y)> |
#<alt (/ (- 1 (/ 1 y)) y)> |
#<alt (/ (- 1 (/ 1 y)) y)> |
#<alt (/ 1 y)> |
#<alt (* -1 (/ (- (/ 1 y) 1) y))> |
#<alt (* -1 (/ (- (/ 1 y) 1) y))> |
#<alt (* -1 (/ (- (/ 1 y) 1) y))> |
#<alt (/ -1 y)> |
#<alt (/ (- y 1) y)> |
#<alt (/ (- y 1) y)> |
#<alt (/ (- y 1) y)> |
#<alt 1> |
#<alt (- 1 (/ 1 y))> |
#<alt (- 1 (/ 1 y))> |
#<alt (- 1 (/ 1 y))> |
#<alt 1> |
#<alt (- 1 (/ 1 y))> |
#<alt (- 1 (/ 1 y))> |
#<alt (- 1 (/ 1 y))> |
#<alt (/ -1 y)> |
#<alt (/ -1 y)> |
#<alt (/ -1 y)> |
#<alt (/ -1 y)> |
#<alt (/ -1 y)> |
#<alt (/ -1 y)> |
#<alt (/ -1 y)> |
#<alt (/ -1 y)> |
#<alt (/ -1 y)> |
#<alt (/ -1 y)> |
#<alt (/ -1 y)> |
#<alt (/ -1 y)> |
#<alt 1> |
#<alt (+ 1 (* -1 y))> |
#<alt (+ 1 (* y (- y 1)))> |
#<alt (+ 1 (* y (- (* y (+ 1 (* -1 y))) 1)))> |
#<alt (/ 1 y)> |
#<alt (/ (- 1 (/ 1 y)) y)> |
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y)> |
#<alt (/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y)> |
#<alt (/ 1 y)> |
#<alt (* -1 (/ (- (/ 1 y) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y))> |
#<alt -1> |
#<alt (- y 1)> |
#<alt (- (* y (+ 1 (* -1 y))) 1)> |
#<alt (- (* y (+ 1 (* -1 y))) 1)> |
#<alt (* -1 (pow y 2))> |
#<alt (* (pow y 2) (- (/ 1 y) 1))> |
#<alt (* (pow y 2) (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))))> |
#<alt (* (pow y 2) (- (/ 1 y) (+ 1 (/ 1 (pow y 2)))))> |
#<alt (* -1 (pow y 2))> |
#<alt (* (pow y 2) (- (/ 1 y) 1))> |
#<alt (* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1) y)) 1))> |
#<alt (* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1) y)) 1))> |
#<alt y> |
#<alt (* y (+ 1 (* -1 (pow y 3))))> |
#<alt (* y (+ 1 (* (pow y 3) (- (pow y 3) 1))))> |
#<alt (* y (+ 1 (* (pow y 3) (- (* (pow y 3) (+ 1 (* -1 (pow y 3)))) 1))))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ (- 1 (/ 1 (pow y 3))) (pow y 2))> |
#<alt (/ (- (+ 1 (/ 1 (pow y 6))) (/ 1 (pow y 3))) (pow y 2))> |
#<alt (/ (- (+ 1 (/ 1 (pow y 6))) (+ (/ 1 (pow y 3)) (/ 1 (pow y 9)))) (pow y 2))> |
#<alt (/ 1 (pow y 2))> |
#<alt (/ (- 1 (/ 1 (pow y 3))) (pow y 2))> |
#<alt (/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow y 3))) (pow y 3)))) (pow y 2))> |
#<alt (/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow y 3))) (pow y 3)))) (pow y 3)))) (pow y 2))> |
#<alt 1> |
#<alt (+ 1 (pow y 3))> |
#<alt (+ 1 (pow y 3))> |
#<alt (+ 1 (pow y 3))> |
#<alt (pow y 3)> |
#<alt (* (pow y 3) (+ 1 (/ 1 (pow y 3))))> |
#<alt (* (pow y 3) (+ 1 (/ 1 (pow y 3))))> |
#<alt (* (pow y 3) (+ 1 (/ 1 (pow y 3))))> |
#<alt (pow y 3)> |
#<alt (* (pow y 3) (+ 1 (/ 1 (pow y 3))))> |
#<alt (* (pow y 3) (+ 1 (/ 1 (pow y 3))))> |
#<alt (* (pow y 3) (+ 1 (/ 1 (pow y 3))))> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
#<alt (pow y 2)> |
54 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | y | @ | 0 | (* y y) |
| 1.0ms | x | @ | 0 | (* (* y x) (- 1 y)) |
| 1.0ms | y | @ | 0 | (+ (* (+ (* y (- 1 y)) -1) (/ y (+ (* y (* y y)) 1))) 1) |
| 0.0ms | y | @ | -inf | (* (* y x) (- 1 y)) |
| 0.0ms | x | @ | inf | (* (* y x) (- 1 y)) |
| 1× | batch-egg-rewrite |
| 4 482× | /-lowering-/.f32 |
| 4 482× | /-lowering-/.f64 |
| 3 980× | accelerator-lowering-fma.f32 |
| 3 980× | accelerator-lowering-fma.f64 |
| 3 454× | *-lowering-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 82 |
| 1 | 139 | 82 |
| 2 | 1237 | 82 |
| 0 | 8855 | 79 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(- x (/ (+ x -1) y)) |
(/ (+ x -1) y) |
(+ x -1) |
(- 1 y) |
(* (* y x) (- 1 y)) |
(* y x) |
(/ (+ 1 (/ -1 y)) y) |
(+ 1 (/ -1 y)) |
(/ -1 y) |
(+ (* (+ (* y (- 1 y)) -1) (/ y (+ (* y (* y y)) 1))) 1) |
(+ (* y (- 1 y)) -1) |
(/ y (+ (* y (* y y)) 1)) |
(+ (* y (* y y)) 1) |
(* y y) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) |
(+.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (*.f64 x x))) (neg.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (*.f64 x x))))) |
(+.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (neg.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))))) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(-.f64 (/.f64 (*.f64 x (*.f64 x x)) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (*.f64 x x))) (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (*.f64 x x)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)))) |
(fma.f64 x #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(fma.f64 #s(literal -1 binary64) (/.f64 (+.f64 x #s(literal -1 binary64)) y) x) |
(fma.f64 (+.f64 x #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y) x) |
(fma.f64 #s(literal 1 binary64) x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(fma.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) y) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) x) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) y) x) |
(fma.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (*.f64 x x))) (neg.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (*.f64 y (*.f64 y y))) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (*.f64 x x))))) |
(fma.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))) (neg.f64 (/.f64 (/.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64))) (*.f64 y y)) (+.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y))))) |
(fma.f64 (/.f64 (fma.f64 x (*.f64 x x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 x x #s(literal 1 binary64)) (-.f64 #s(literal 0 binary64) x))) y) x) |
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(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) y)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) y)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) y)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) y)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))) |
(*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) y)) (*.f64 y (*.f64 y y)))))) |
(*.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 y y)) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) y) (/.f64 #s(literal -1 binary64) y)) |
(pow.f64 y #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 (-.f64 #s(literal 0 binary64) y) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(*.f64 y y) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) y)) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
| 1× | egg-herbie |
| 15 012× | accelerator-lowering-fma.f32 |
| 15 012× | accelerator-lowering-fma.f64 |
| 3 144× | *-lowering-*.f32 |
| 3 144× | *-lowering-*.f64 |
| 2 862× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 133 | 1235 |
| 1 | 363 | 1202 |
| 2 | 932 | 1106 |
| 3 | 2688 | 1100 |
| 4 | 7337 | 1100 |
| 0 | 8435 | 1092 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 y) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(* x (- 1 (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(/ (- 1 x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(- (+ x (/ 1 y)) (/ x y)) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- x 1) y))) |
(+ x (* -1 (/ (- x 1) y))) |
(/ -1 y) |
(- (/ x y) (/ 1 y)) |
(- (/ x y) (/ 1 y)) |
(- (/ x y) (/ 1 y)) |
(/ x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(/ x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
(/ (- x 1) y) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ -1 (pow y 2)) |
(/ (- y 1) (pow y 2)) |
(/ (- y 1) (pow y 2)) |
(/ (- y 1) (pow y 2)) |
(/ 1 y) |
(/ (- 1 (/ 1 y)) y) |
(/ (- 1 (/ 1 y)) y) |
(/ (- 1 (/ 1 y)) y) |
(/ 1 y) |
(* -1 (/ (- (/ 1 y) 1) y)) |
(* -1 (/ (- (/ 1 y) 1) y)) |
(* -1 (/ (- (/ 1 y) 1) y)) |
(/ -1 y) |
(/ (- y 1) y) |
(/ (- y 1) y) |
(/ (- y 1) y) |
1 |
(- 1 (/ 1 y)) |
(- 1 (/ 1 y)) |
(- 1 (/ 1 y)) |
1 |
(- 1 (/ 1 y)) |
(- 1 (/ 1 y)) |
(- 1 (/ 1 y)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* y (- y 1))) |
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))) |
(/ 1 y) |
(/ (- 1 (/ 1 y)) y) |
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y) |
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y) |
(/ 1 y) |
(* -1 (/ (- (/ 1 y) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y)) |
-1 |
(- y 1) |
(- (* y (+ 1 (* -1 y))) 1) |
(- (* y (+ 1 (* -1 y))) 1) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* (pow y 2) (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))) |
(* (pow y 2) (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1) y)) 1)) |
y |
(* y (+ 1 (* -1 (pow y 3)))) |
(* y (+ 1 (* (pow y 3) (- (pow y 3) 1)))) |
(* y (+ 1 (* (pow y 3) (- (* (pow y 3) (+ 1 (* -1 (pow y 3)))) 1)))) |
(/ 1 (pow y 2)) |
(/ (- 1 (/ 1 (pow y 3))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 6))) (/ 1 (pow y 3))) (pow y 2)) |
(/ (- (+ 1 (/ 1 (pow y 6))) (+ (/ 1 (pow y 3)) (/ 1 (pow y 9)))) (pow y 2)) |
(/ 1 (pow y 2)) |
(/ (- 1 (/ 1 (pow y 3))) (pow y 2)) |
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow y 3))) (pow y 3)))) (pow y 2)) |
(/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow y 3))) (pow y 3)))) (pow y 3)))) (pow y 2)) |
1 |
(+ 1 (pow y 3)) |
(+ 1 (pow y 3)) |
(+ 1 (pow y 3)) |
(pow y 3) |
(* (pow y 3) (+ 1 (/ 1 (pow y 3)))) |
(* (pow y 3) (+ 1 (/ 1 (pow y 3)))) |
(* (pow y 3) (+ 1 (/ 1 (pow y 3)))) |
(pow y 3) |
(* (pow y 3) (+ 1 (/ 1 (pow y 3)))) |
(* (pow y 3) (+ 1 (/ 1 (pow y 3)))) |
(* (pow y 3) (+ 1 (/ 1 (pow y 3)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
| Outputs |
|---|
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ (* x (- 1 (/ 1 y))) (/ 1 y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(* x (- (+ 1 (/ 1 (* x y))) (/ 1 y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(* -1 (* x (- (/ 1 y) 1))) |
(-.f64 x (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(* -1 (* x (- (/ 1 y) (+ 1 (/ 1 (* x y)))))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/ (- 1 x) y) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(/ (- (+ 1 (* x y)) x) y) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/ (- (+ 1 (* x y)) x) y) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/ (- (+ 1 (* x y)) x) y) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ x (/ 1 y)) (/ x y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ x (* -1 (/ (- x 1) y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ x (* -1 (/ (- x 1) y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(- (/ x y) (/ 1 y)) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(- (/ x y) (/ 1 y)) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(- (/ x y) (/ 1 y)) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ x y) |
(/.f64 x y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(* x (- (/ 1 y) (/ 1 (* x y)))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(* -1 (* x (- (/ 1 (* x y)) (/ 1 y)))) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
(/ (- x 1) y) |
(/.f64 (+.f64 x #s(literal -1 binary64)) y) |
-1 |
#s(literal -1 binary64) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
(- x 1) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
(* x (- 1 (/ 1 x))) |
(+.f64 x #s(literal -1 binary64)) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(+.f64 x #s(literal -1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(-.f64 #s(literal 0 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (pow y 2))) |
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (pow y 2))) |
(fma.f64 x (-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) #s(literal 0 binary64)) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (* y (- 1 y))) |
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (* y (- 1 y))) |
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (* y (- 1 y))) |
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (* y (- 1 y))) |
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (* y (- 1 y))) |
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (* y (- 1 y))) |
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (* y (- 1 y))) |
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (* y (- 1 y))) |
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (* y (- 1 y))) |
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (* y (- 1 y))) |
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (* y (- 1 y))) |
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x (* y (- 1 y))) |
(*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(* x y) |
(fma.f64 y x #s(literal 0 binary64)) |
(/ -1 (pow y 2)) |
(/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(/ (- y 1) (pow y 2)) |
(/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(/ (- y 1) (pow y 2)) |
(/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(/ (- y 1) (pow y 2)) |
(/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (- 1 (/ 1 y)) y) |
(/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(/ (- 1 (/ 1 y)) y) |
(/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(/ (- 1 (/ 1 y)) y) |
(/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* -1 (/ (- (/ 1 y) 1) y)) |
(/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(* -1 (/ (- (/ 1 y) 1) y)) |
(/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(* -1 (/ (- (/ 1 y) 1) y)) |
(/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ (- y 1) y) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(/ (- y 1) y) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(/ (- y 1) y) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(- 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(- 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
1 |
#s(literal 1 binary64) |
(- 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(- 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(- 1 (/ 1 y)) |
(+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (- y 1))) |
(fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 1 binary64))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (- 1 (/ 1 y)) y) |
(/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 0 binary64)))) y) |
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 0 binary64)))) y)) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* -1 (/ (- (/ 1 y) 1) y)) |
(/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 0 binary64)))) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal 0 binary64)))) y)) y) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(+.f64 y #s(literal -1 binary64)) |
(- (* y (+ 1 (* -1 y))) 1) |
(fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(- (* y (+ 1 (* -1 y))) 1) |
(fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(* -1 (pow y 2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(* (pow y 2) (- (/ 1 y) 1)) |
(*.f64 y (-.f64 #s(literal 1 binary64) y)) |
(* (pow y 2) (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(* (pow y 2) (- (/ 1 y) (+ 1 (/ 1 (pow y 2))))) |
(fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(* -1 (pow y 2)) |
(-.f64 #s(literal 0 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(* (pow y 2) (- (/ 1 y) 1)) |
(*.f64 y (-.f64 #s(literal 1 binary64) y)) |
(* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1) y)) 1)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(* (pow y 2) (- (* -1 (/ (- (/ 1 y) 1) y)) 1)) |
(fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
y |
(* y (+ 1 (* -1 (pow y 3)))) |
(-.f64 #s(literal 0 binary64) (*.f64 y (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)))) |
(* y (+ 1 (* (pow y 3) (- (pow y 3) 1)))) |
(*.f64 y (fma.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(* y (+ 1 (* (pow y 3) (- (* (pow y 3) (+ 1 (* -1 (pow y 3)))) 1)))) |
(*.f64 y (fma.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (-.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y (fma.f64 y y #s(literal 0 binary64))) (fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal -1 binary64)) #s(literal 1 binary64))) #s(literal 1 binary64))) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(/ (- 1 (/ 1 (pow y 3))) (pow y 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y y #s(literal 0 binary64))) |
(/ (- (+ 1 (/ 1 (pow y 6))) (/ 1 (pow y 3))) (pow y 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y y #s(literal 0 binary64))) |
(/ (- (+ 1 (/ 1 (pow y 6))) (+ (/ 1 (pow y 3)) (/ 1 (pow y 9)))) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 9 binary64))) (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (*.f64 y (fma.f64 y y #s(literal 0 binary64)))))) (fma.f64 y y #s(literal 0 binary64))) |
(/ 1 (pow y 2)) |
(/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 0 binary64))) |
(/ (- 1 (/ 1 (pow y 3))) (pow y 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y y #s(literal 0 binary64))) |
(/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow y 3))) (pow y 3)))) (pow y 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y y #s(literal 0 binary64))) |
(/ (+ 1 (* -1 (/ (+ 1 (* -1 (/ (- 1 (/ 1 (pow y 3))) (pow y 3)))) (pow y 3)))) (pow y 2)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (*.f64 y (fma.f64 y y #s(literal 0 binary64))))) (fma.f64 y y #s(literal 0 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow y 3)) |
(fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(+ 1 (pow y 3)) |
(fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(+ 1 (pow y 3)) |
(fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(pow y 3) |
(*.f64 y (fma.f64 y y #s(literal 0 binary64))) |
(* (pow y 3) (+ 1 (/ 1 (pow y 3)))) |
(fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* (pow y 3) (+ 1 (/ 1 (pow y 3)))) |
(fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* (pow y 3) (+ 1 (/ 1 (pow y 3)))) |
(fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(pow y 3) |
(*.f64 y (fma.f64 y y #s(literal 0 binary64))) |
(* (pow y 3) (+ 1 (/ 1 (pow y 3)))) |
(fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* (pow y 3) (+ 1 (/ 1 (pow y 3)))) |
(fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(* (pow y 3) (+ 1 (/ 1 (pow y 3)))) |
(fma.f64 y (fma.f64 y y #s(literal 0 binary64)) #s(literal 1 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
(pow y 2) |
(fma.f64 y y #s(literal 0 binary64)) |
Compiled 16 904 to 1 609 computations (90.5% saved)
22 alts after pruning (17 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 798 | 7 | 805 |
| Fresh | 2 | 10 | 12 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 803 | 22 | 825 |
| Status | Accuracy | Program |
|---|---|---|
| 35.2% | (fma.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| ✓ | 35.6% | (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| 47.7% | (fma.f64 (/.f64 (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (+.f64 y #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) | |
| 35.5% | (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 y (+.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) | |
| 49.2% | (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 y y)) x) | |
| 53.9% | (fma.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) | |
| 36.4% | (fma.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) | |
| ✓ | 47.5% | (fma.f64 y x #s(literal 1 binary64)) |
| 47.2% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) | |
| 12.1% | (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 0 binary64))) | |
| 16.1% | (/.f64 #s(literal 1 binary64) y) | |
| 40.0% | (-.f64 x (/.f64 x y)) | |
| 54.2% | (-.f64 x (/.f64 #s(literal -1 binary64) y)) | |
| 36.3% | (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) | |
| 29.2% | (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) | |
| ✓ | 34.9% | (-.f64 #s(literal 1 binary64) y) |
| 3.1% | (-.f64 #s(literal 0 binary64) y) | |
| 13.7% | (*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) | |
| 14.5% | (*.f64 y x) | |
| 51.9% | (*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y))) | |
| ✓ | 39.9% | x |
| ✓ | 35.5% | #s(literal 1 binary64) |
Compiled 896 to 263 computations (70.6% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 y x) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 y x #s(literal 1 binary64)) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) |
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 x (/.f64 #s(literal -1 binary64) y)) |
(-.f64 x (/.f64 x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (fma.f64 y x #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (*.f64 y y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 y y)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 y (+.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) |
(fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (fma.f64 y (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 x (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) |
(fma.f64 (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (fma.f64 y (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) #s(literal 0 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (+.f64 y #s(literal 1 binary64)))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64))) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) (+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) |
| Outputs |
|---|
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) |
5 calls:
| 17.0ms | x |
| 13.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 12.0ms | (-.f64 #s(literal 1 binary64) x) |
| 11.0ms | y |
| 10.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.1% | 5 | x |
| 100.0% | 3 | y |
| 99.9% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 99.9% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 75.0% | 1 | (-.f64 #s(literal 1 binary64) x) |
Compiled 35 to 23 computations (34.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 y x) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 y x #s(literal 1 binary64)) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) |
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 x (/.f64 #s(literal -1 binary64) y)) |
(-.f64 x (/.f64 x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (fma.f64 y x #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (*.f64 y y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 y y)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 y (+.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) x) |
(fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal 1 binary64)) |
| Outputs |
|---|
(fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 x (/.f64 #s(literal -1 binary64) y)) |
1 calls:
| 10.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 y x) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 y x #s(literal 1 binary64)) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) |
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 x (/.f64 #s(literal -1 binary64) y)) |
(-.f64 x (/.f64 x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (fma.f64 y x #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) y)) (*.f64 y y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal -1 binary64) y) (*.f64 y y)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 y (+.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(literal -1 binary64) y)) |
(fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(-.f64 x (/.f64 #s(literal -1 binary64) y)) |
3 calls:
| 9.0ms | y |
| 8.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 7.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.7% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 99.7% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 99.8% | 3 | y |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 y x) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 y x #s(literal 1 binary64)) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) |
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 x (/.f64 #s(literal -1 binary64) y)) |
(-.f64 x (/.f64 x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 y (-.f64 #s(literal 1 binary64) x) #s(literal 0 binary64)) (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y y #s(literal 0 binary64))) |
(/.f64 (fma.f64 y x #s(literal 0 binary64)) (+.f64 #s(literal 1 binary64) y)) |
(fma.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
3 calls:
| 7.0ms | y |
| 6.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 6.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 4 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 98.8% | 4 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 98.9% | 3 | y |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 y x) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 y x #s(literal 1 binary64)) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) |
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 x (/.f64 #s(literal -1 binary64) y)) |
(-.f64 x (/.f64 x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
| Outputs |
|---|
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) |
1 calls:
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.8% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 y x) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 y x #s(literal 1 binary64)) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) |
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 x (/.f64 #s(literal -1 binary64) y)) |
(-.f64 x (/.f64 x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
| Outputs |
|---|
(-.f64 x (/.f64 #s(literal -1 binary64) y)) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(-.f64 x (/.f64 #s(literal -1 binary64) y)) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 y x) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(fma.f64 y x #s(literal 1 binary64)) |
(fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) y) |
(*.f64 x (*.f64 y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) y) |
(*.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
x |
(fma.f64 y x #s(literal 1 binary64)) |
x |
3 calls:
| 4.0ms | y |
| 4.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 3.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.6% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 73.6% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 84.2% | 3 | y |
Compiled 27 to 17 computations (37% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 y x) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
| Outputs |
|---|
x |
#s(literal 1 binary64) |
x |
5 calls:
| 4.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 2.0ms | (-.f64 #s(literal 1 binary64) x) |
| 2.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.9% | 3 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 71.9% | 3 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 52.4% | 4 | (-.f64 #s(literal 1 binary64) x) |
| 54.4% | 4 | x |
| 72.0% | 3 | y |
Compiled 35 to 23 computations (34.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(literal 1 binary64) |
| Outputs |
|---|
#s(literal 1 binary64) |
5 calls:
| 5.0ms | y |
| 1.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 1.0ms | x |
| 1.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 1.0ms | (-.f64 #s(literal 1 binary64) x) |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.5% | 1 | (-.f64 #s(literal 1 binary64) x) |
| 35.5% | 1 | x |
| 35.5% | 1 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 35.5% | 1 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 35.5% | 1 | y |
Compiled 35 to 23 computations (34.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 7.818022113894431 | 4846617.917799595 |
| 14.0ms | -24801537901.294807 | -1280619801.7681615 |
| 10.0ms | 197× | 0 | valid |
| 6.0ms | 59× | 1 | valid |
Compiled 576 to 365 computations (36.6% saved)
ival-sub: 3.0ms (31.1% of total)ival-div: 2.0ms (20.8% of total)ival-mult: 2.0ms (20.8% of total)adjust: 1.0ms (10.4% of total)ival-add: 1.0ms (10.4% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 4846617.917799595 | 1.3194634365550503e+23 |
| 12.0ms | -24801537901.294807 | -1280619801.7681615 |
| 16.0ms | 139× | 1 | valid |
| 7.0ms | 133× | 0 | valid |
Compiled 422 to 296 computations (29.9% saved)
ival-add: 4.0ms (26.1% of total)ival-sub: 4.0ms (26.1% of total)ival-div: 3.0ms (19.6% of total)adjust: 2.0ms (13% of total)ival-mult: 2.0ms (13% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 21.0ms | 4846617.917799595 | 1.3194634365550503e+23 |
| 12.0ms | -24801537901.294807 | -1280619801.7681615 |
| 17.0ms | 128× | 1 | valid |
| 7.0ms | 144× | 0 | valid |
Compiled 373 to 268 computations (28.2% saved)
adjust: 6.0ms (35.8% of total)ival-sub: 4.0ms (23.8% of total)ival-div: 3.0ms (17.9% of total)ival-add: 2.0ms (11.9% of total)ival-mult: 2.0ms (11.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.7987558438643907e-28 | 7.818022113894431 |
| 10.0ms | -28.888622139766145 | -0.015620223657181576 |
| 16.0ms | 304× | 0 | valid |
Compiled 453 to 317 computations (30% saved)
ival-sub: 3.0ms (30.1% of total)ival-add: 3.0ms (30.1% of total)ival-div: 2.0ms (20.1% of total)ival-mult: 2.0ms (20.1% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 15.0ms | 1.7987558438643907e-28 | 7.818022113894431 |
| 21.0ms | -28.888622139766145 | -0.015620223657181576 |
| 26.0ms | 304× | 0 | valid |
Compiled 377 to 279 computations (26% saved)
ival-sub: 4.0ms (42.5% of total)ival-div: 2.0ms (21.2% of total)ival-mult: 2.0ms (21.2% of total)ival-add: 1.0ms (10.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 1.7987558438643907e-28 | 7.818022113894431 |
| 10.0ms | -28.888622139766145 | -0.015620223657181576 |
| 15.0ms | 304× | 0 | valid |
Compiled 339 to 260 computations (23.3% saved)
ival-sub: 3.0ms (35.2% of total)ival-div: 2.0ms (23.5% of total)ival-mult: 2.0ms (23.5% of total)ival-add: 1.0ms (11.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 7.818022113894431 | 4846617.917799595 |
| 12.0ms | -28.888622139766145 | -0.015620223657181576 |
| 15.0ms | 272× | 0 | valid |
Compiled 203 to 149 computations (26.6% saved)
ival-sub: 3.0ms (38.5% of total)ival-div: 2.0ms (25.7% of total)ival-mult: 2.0ms (25.7% of total)ival-add: 1.0ms (12.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 11.0ms | 7.818022113894431 | 4846617.917799595 |
| 38.0ms | -28.888622139766145 | -0.015620223657181576 |
| 41.0ms | 272× | 0 | valid |
Compiled 152 to 132 computations (13.2% saved)
ival-sub: 30.0ms (84.8% of total)ival-div: 2.0ms (5.7% of total)ival-mult: 2.0ms (5.7% of total)ival-add: 1.0ms (2.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 26× | +-commutative_binary64 |
| 20× | sub-neg_binary64 |
| 14× | *-commutative_binary64 |
| 14× | if-if-or-not_binary32 |
| 12× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 59 | 191 |
| 1 | 94 | 191 |
| 2 | 112 | 191 |
| 3 | 126 | 191 |
| 4 | 135 | 191 |
| 5 | 137 | 191 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal -1300000000 binary64)) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) (if (<=.f64 y #s(literal 260000 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x))) |
(if (<=.f64 y #s(literal -1300000000 binary64)) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) (if (<=.f64 y #s(literal 85000000000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)))) |
(if (<=.f64 y #s(literal -23500000000 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 42000000000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)))) |
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)))) |
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)))) |
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)))) |
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 120 binary64)) (fma.f64 y x #s(literal 1 binary64)) x)) |
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 8 binary64)) #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(if (<=.f64 y #s(literal -1300000000 binary64)) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) (if (<=.f64 y #s(literal 260000 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x))) |
(if (<=.f64 y #s(literal -1300000000 binary64)) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (if (<=.f64 y #s(literal 260000 binary64)) (fma.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x))) |
(if (<=.f64 y #s(literal -1300000000 binary64)) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) (if (<=.f64 y #s(literal 85000000000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)))) |
(if (<=.f64 y #s(literal -1300000000 binary64)) (fma.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) x) (if (<=.f64 y #s(literal 85000000000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)))) |
(if (<=.f64 y #s(literal -23500000000 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 42000000000 binary64)) (fma.f64 y (/.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)))) |
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)))) |
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)) (if (<=.f64 y #s(literal 1 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x (/.f64 (+.f64 x #s(literal -1 binary64)) y)))) |
(if (<=.f64 y #s(literal -1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)) (if (<=.f64 y #s(literal 3602879701896397/4503599627370496 binary64)) (fma.f64 y (+.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) (-.f64 x (/.f64 #s(literal -1 binary64) y)))) |
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 120 binary64)) (fma.f64 y x #s(literal 1 binary64)) x)) |
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 8 binary64)) #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
| 15 428× | accelerator-lowering-fma.f32 |
| 15 428× | accelerator-lowering-fma.f64 |
| 15 012× | accelerator-lowering-fma.f32 |
| 15 012× | accelerator-lowering-fma.f64 |
| 13 336× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 31 |
| 1 | 58 | 31 |
| 2 | 528 | 31 |
| 0 | 8517 | 30 |
| 0 | 133 | 1235 |
| 1 | 363 | 1202 |
| 2 | 932 | 1106 |
| 3 | 2688 | 1100 |
| 4 | 7337 | 1100 |
| 0 | 8435 | 1092 |
| 0 | 25 | 98 |
| 1 | 190 | 92 |
| 2 | 1909 | 92 |
| 0 | 8651 | 86 |
| 0 | 127 | 823 |
| 1 | 400 | 799 |
| 2 | 1128 | 684 |
| 3 | 4562 | 669 |
| 0 | 8331 | 648 |
| 0 | 247 | 2570 |
| 1 | 794 | 2225 |
| 2 | 2530 | 2008 |
| 0 | 8649 | 1897 |
| 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 |
Compiled 376 to 168 computations (55.3% saved)
Compiled 552 to 170 computations (69.2% saved)
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