
Time bar (total: 11.3s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 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)
| 480.0ms | 6 309× | 0 | valid |
| 240.0ms | 1 641× | 1 | valid |
| 61.0ms | 306× | 2 | valid |
ival-sub: 225.0ms (44.6% of total)ival-mult: 104.0ms (20.6% of total)ival-div: 82.0ms (16.3% of total)ival-add: 48.0ms (9.5% of total)adjust: 31.0ms (6.2% of total)ival-true: 6.0ms (1.2% of total)exact: 5.0ms (1% of total)ival-assert: 3.0ms (0.6% 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))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))) |
| 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 |
|---|---|---|---|---|---|
| 65 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 29 | 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 | 65 | 0 |
/.f64 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) | o/n | 29 | 0 |
| ↳ | (*.f64 (-.f64 #s(literal 1 binary64) x) y) | overflow | 29 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 94 | 0 |
| - | 0 | 162 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 94 | 0 | 0 |
| - | 0 | 0 | 162 |
| number | freq |
|---|---|
| 0 | 162 |
| 1 | 94 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 33.0ms | 106× | 1 | valid |
| 22.0ms | 388× | 0 | valid |
| 3.0ms | 18× | 2 | valid |
Compiled 98 to 36 computations (63.3% saved)
ival-sub: 6.0ms (29.1% of total)ival-div: 4.0ms (19.4% of total)ival-mult: 4.0ms (19.4% of total)ival-add: 3.0ms (14.5% of total)adjust: 2.0ms (9.7% of total)ival-assert: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)Compiled 13 to 9 computations (30.8% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 67.0% | (-.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 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) x) y) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| ✓ | cost-diff | 0 | (-.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))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))) |
1 |
#s(literal 1 binary64) |
(/ (* (- 1 x) y) (+ y 1)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) y)) |
(* (- 1 x) y) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(- 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 | 89.4% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| ✓ | accuracy | 77.6% | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 18.0ms | 194× | 0 | valid |
| 6.0ms | 53× | 1 | valid |
| 1.0ms | 9× | 2 | valid |
Compiled 36 to 10 computations (72.2% saved)
ival-sub: 7.0ms (48.9% of total)ival-div: 2.0ms (14% of total)ival-mult: 2.0ms (14% of total)adjust: 1.0ms (7% of total)ival-add: 1.0ms (7% 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) y)> |
#<alt (- 1 x)> |
#<alt (+ y 1)> |
| 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 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))> |
#<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)))> |
24 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | (- 1 (/ (* (- 1 x) y) (+ y 1))) |
| 1.0ms | x | @ | inf | (- 1 (/ (* (- 1 x) y) (+ y 1))) |
| 1.0ms | y | @ | inf | (* (- 1 x) y) |
| 1.0ms | x | @ | 0 | (- 1 (/ (* (- 1 x) y) (+ y 1))) |
| 1.0ms | y | @ | 0 | (- 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 x) |
(+ y 1) |
| 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) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))) (neg.f64 (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) (*.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) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (neg.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))) |
(-.f64 #s(literal 0 binary64) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) (*.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) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) 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) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))) (neg.f64 (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) (*.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) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (neg.f64 (/.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (/.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) 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)) |
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(*.f64 (/.f64 (-.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 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x)))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (-.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 x (+.f64 #s(literal 1 binary64) x)) (*.f64 x (+.f64 #s(literal 1 binary64) x))))) (-.f64 #s(literal 1 binary64) (*.f64 x (+.f64 #s(literal 1 binary64) x)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 x x)) (+.f64 #s(literal 1 binary64) (*.f64 x (*.f64 x x)))) (+.f64 #s(literal 1 binary64) (*.f64 x (-.f64 x #s(literal 1 binary64))))) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 #s(literal 1 binary64) (neg.f64 (-.f64 #s(literal 0 binary64) y))) |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(+.f64 (neg.f64 (-.f64 #s(literal 0 binary64) y)) #s(literal 1 binary64)) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64)) |
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 y (/.f64 y (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 y y) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (*.f64 y y) (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(neg.f64 (-.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) |
(/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))) (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (*.f64 y y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 3 binary64))) (+.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64)))) (+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))) |
(/.f64 (*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))) (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (+.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 (*.f64 (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(*.f64 (+.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))) #s(literal 1 binary64))) |
(*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))))) |
(*.f64 (-.f64 #s(literal 0 binary64) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (+.f64 (*.f64 y y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (+.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (+.f64 (*.f64 y (*.f64 y (*.f64 y y))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))) (+.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) y))) (+.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (+.f64 (*.f64 y y) #s(literal -1 binary64)) (+.f64 (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal 1 binary64) y)))) |
| 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 | 1127 | 684 |
| 3 | 4566 | 669 |
| 0 | 8319 | 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) |
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)) |
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))) |
| 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))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)))) |
(- (+ 1 (/ (* x y) (+ 1 y))) (/ y (+ 1 y))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)))) |
(* x (- (/ 1 x) (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y)))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)))) |
(* -1 (* x (- (* -1 (/ (- 1 (/ y (+ 1 y))) x)) (/ y (+ 1 y))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (+.f64 x #s(literal -1 binary64)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64)))) |
(+ 1 (* y (- (+ x (* y (- 1 x))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64))))) |
(+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64)))))) |
x |
(- (+ x (/ 1 y)) (/ x y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(- (+ x (+ (* -1 (/ (+ 1 (* -1 x)) (pow y 2))) (/ 1 y))) (/ x y)) |
(+.f64 x (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)))) |
(- (+ x (+ (/ 1 y) (/ 1 (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3)))))) |
(+.f64 x (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) y) (*.f64 (/.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) (/.f64 (/.f64 x y) y))))) |
x |
(+ x (* -1 (/ (- x 1) y))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(+ x (* -1 (/ (- (* -1 (/ (- x 1) y)) (* -1 (- x 1))) y))) |
(+.f64 x (*.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) y)) (* -1 (- x 1))) y)) (* -1 (- x 1))) y))) |
(+.f64 x (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #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 #s(literal 0 binary64) (/.f64 x (+.f64 #s(literal 1 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 #s(literal 0 binary64) (/.f64 x (+.f64 #s(literal 1 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)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- (+ 1 (* y (- x 1))) x)) |
(*.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) |
(* y (- (+ 1 (* y (- (+ x (* y (- 1 x))) 1))) x)) |
(*.f64 y (+.f64 (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 y #s(literal -1 binary64)))) (-.f64 #s(literal 1 binary64) x))) |
(* y (- (+ 1 (* y (- (+ x (* y (- (+ 1 (* y (- x 1))) x))) 1))) x)) |
(*.f64 y (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y (+.f64 (+.f64 x #s(literal -1 binary64)) (*.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))))) x))) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (/ x y))) (+ x (+ (/ 1 y) (/ x (pow y 2))))) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) |
(- (+ 1 (+ (/ 1 (pow y 2)) (+ (/ x y) (/ x (pow y 3))))) (+ x (+ (/ 1 y) (+ (/ 1 (pow y 3)) (/ x (pow y 2)))))) |
(+.f64 (+.f64 (+.f64 (/.f64 x y) (*.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (/.f64 x y) x)) y))) (+.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) y))) (-.f64 #s(literal 1 binary64) x)) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
(- (+ 1 (/ x y)) (+ x (/ 1 y))) |
(*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(- (+ 1 (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) x) |
(+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) |
(- (+ 1 (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ (- (+ (* -1 (- x 1)) (/ x y)) (/ 1 y)) y))) y))) x) |
(*.f64 (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (+.f64 (/.f64 (/.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64))) |
y |
(+ y (* -1 (* x y))) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(+ y (* -1 (* x y))) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(+ y (* -1 (* x y))) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x y)) |
(-.f64 #s(literal 0 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x y)) |
(-.f64 #s(literal 0 binary64) (*.f64 y x)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
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) |
Compiled 14 840 to 1 639 computations (89% saved)
15 alts after pruning (14 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 555 | 14 | 569 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 555 | 15 | 570 |
| Status | Accuracy | Program |
|---|---|---|
| 62.6% | (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) | |
| 48.5% | (/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))))) (*.f64 (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) (*.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) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) (*.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) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) (*.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) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))))) | |
| 43.1% | (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.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 (+.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) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))))) | |
| 47.5% | (/.f64 (+.f64 #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 (-.f64 #s(literal -1 binary64) y) (*.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) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))) | |
| ▶ | 48.5% | (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
| ▶ | 66.9% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))))) |
| ✓ | 67.0% | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 41.4% | (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) | |
| 26.8% | (-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) | |
| 50.7% | (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) | |
| ▶ | 49.6% | (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| 49.7% | (+.f64 x (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) y)) | |
| ▶ | 45.1% | (*.f64 (/.f64 (+.f64 #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 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))) |
| 37.3% | x | |
| ▶ | 39.5% | #s(literal 1 binary64) |
Compiled 1 387 to 340 computations (75.5% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.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 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) |
| ✓ | cost-diff | 0 | (+.f64 #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 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) |
| ✓ | cost-diff | 0 | (/.f64 (+.f64 #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 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))))) |
| ✓ | cost-diff | 0 | (*.f64 (/.f64 (+.f64 #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 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))) |
| ✓ | 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 x (+.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 | (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| ✓ | cost-diff | 0 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)))) |
| ✓ | cost-diff | 256 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))))) |
| 22 292× | accelerator-lowering-fma.f32 |
| 22 292× | accelerator-lowering-fma.f64 |
| 4 612× | *-lowering-*.f32 |
| 4 612× | *-lowering-*.f64 |
| 3 650× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 592 |
| 1 | 120 | 542 |
| 2 | 545 | 542 |
| 3 | 3408 | 514 |
| 0 | 8238 | 493 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ 1 (+ 1 (/ (* (- 1 x) y) (- -1 y))))) |
1 |
(/ 1 (+ 1 (/ (* (- 1 x) y) (- -1 y)))) |
(+ 1 (/ (* (- 1 x) y) (- -1 y))) |
(/ (* (- 1 x) y) (- -1 y)) |
(* (- 1 x) y) |
(- 1 x) |
x |
y |
(- -1 y) |
-1 |
1 |
(+ x (/ (- 1 x) y)) |
x |
(/ (- 1 x) y) |
(- 1 x) |
1 |
y |
(/ x (+ 1 (/ 1 y))) |
x |
(+ 1 (/ 1 y)) |
1 |
(/ 1 y) |
y |
(* (/ (+ 1 (/ (* (* (- 1 x) y) (* (- 1 x) (* y (* (- 1 x) y)))) (* (- -1 y) (* (+ 1 y) (+ 1 y))))) (- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))) (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))))) (+ 1 (* (/ (* (- 1 x) y) (- -1 y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))))) |
(/ (+ 1 (/ (* (* (- 1 x) y) (* (- 1 x) (* y (* (- 1 x) y)))) (* (- -1 y) (* (+ 1 y) (+ 1 y))))) (- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))) (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))))) |
(+ 1 (/ (* (* (- 1 x) y) (* (- 1 x) (* y (* (- 1 x) y)))) (* (- -1 y) (* (+ 1 y) (+ 1 y))))) |
1 |
(/ (* (* (- 1 x) y) (* (- 1 x) (* y (* (- 1 x) y)))) (* (- -1 y) (* (+ 1 y) (+ 1 y)))) |
(* (* (- 1 x) y) (* (- 1 x) (* y (* (- 1 x) y)))) |
(* (- 1 x) y) |
(- 1 x) |
x |
y |
(* (- 1 x) (* y (* (- 1 x) y))) |
(* y (* (- 1 x) y)) |
(* (- -1 y) (* (+ 1 y) (+ 1 y))) |
(- -1 y) |
-1 |
(* (+ 1 y) (+ 1 y)) |
(+ 1 y) |
(- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))) (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))))) |
(* (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))) (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))) |
(* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))) |
(/ (- 1 x) (/ (+ 1 y) y)) |
(/ (+ 1 y) y) |
(+ 1 (/ (- 1 x) (/ (+ 1 y) y))) |
(+ 1 (* (/ (* (- 1 x) y) (- -1 y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))) |
(* (/ (* (- 1 x) y) (- -1 y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))) |
(/ (* (- 1 x) y) (- -1 y)) |
| Outputs |
|---|
(/ 1 (/ 1 (+ 1 (/ (* (- 1 x) y) (- -1 y))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) y) y))) |
1 |
#s(literal 1 binary64) |
(/ 1 (+ 1 (/ (* (- 1 x) y) (- -1 y)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) y) y)))) |
(+ 1 (/ (* (- 1 x) y) (- -1 y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) y) y))) |
(/ (* (- 1 x) y) (- -1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) y) y)) |
(* (- 1 x) y) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
x |
y |
(- -1 y) |
(-.f64 #s(literal -1 binary64) y) |
-1 |
#s(literal -1 binary64) |
1 |
#s(literal 1 binary64) |
(+ x (/ (- 1 x) y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) 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) |
y |
(/ x (+ 1 (/ 1 y))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
x |
(+ 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) |
y |
(* (/ (+ 1 (/ (* (* (- 1 x) y) (* (- 1 x) (* y (* (- 1 x) y)))) (* (- -1 y) (* (+ 1 y) (+ 1 y))))) (- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))) (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))))) (+ 1 (* (/ (* (- 1 x) y) (- -1 y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))))) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y))))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.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) (/.f64 (-.f64 #s(literal -1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (+.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 #s(literal -1 binary64) y) y)))) |
(/ (+ 1 (/ (* (* (- 1 x) y) (* (- 1 x) (* y (* (- 1 x) y)))) (* (- -1 y) (* (+ 1 y) (+ 1 y))))) (- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))) (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))))) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y))))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (+.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 #s(literal -1 binary64) y) y)))) |
(+ 1 (/ (* (* (- 1 x) y) (* (- 1 x) (* y (* (- 1 x) y)))) (* (- -1 y) (* (+ 1 y) (+ 1 y))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y))))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) |
1 |
#s(literal 1 binary64) |
(/ (* (* (- 1 x) y) (* (- 1 x) (* y (* (- 1 x) y)))) (* (- -1 y) (* (+ 1 y) (+ 1 y)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y))))) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) |
(* (* (- 1 x) y) (* (- 1 x) (* y (* (- 1 x) y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y))))) |
(* (- 1 x) y) |
(*.f64 (-.f64 #s(literal 1 binary64) x) y) |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
x |
y |
(* (- 1 x) (* y (* (- 1 x) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y))) |
(* y (* (- 1 x) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)) |
(* (- -1 y) (* (+ 1 y) (+ 1 y))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) |
(- -1 y) |
(-.f64 #s(literal -1 binary64) y) |
-1 |
#s(literal -1 binary64) |
(* (+ 1 y) (+ 1 y)) |
(*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))) (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))))) |
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (+.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 #s(literal -1 binary64) y) y))) |
(* (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))) (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))) |
(/.f64 (*.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) (+.f64 #s(literal 1 binary64) y))) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) |
(* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) |
(/ (- 1 x) (/ (+ 1 y) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) |
(/ (+ 1 y) y) |
(/.f64 (+.f64 #s(literal 1 binary64) y) y) |
(+ 1 (/ (- 1 x) (/ (+ 1 y) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))) |
(+ 1 (* (/ (* (- 1 x) y) (- -1 y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))) |
(+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))) |
(* (/ (* (- 1 x) y) (- -1 y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) |
(/ (* (- 1 x) y) (- -1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (-.f64 #s(literal -1 binary64) y) y)) |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 84.9% | (*.f64 (/.f64 (+.f64 #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 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))) |
| ✓ | accuracy | 77.7% | (+.f64 #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 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) |
| ✓ | accuracy | 74.6% | (/.f64 (+.f64 #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 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))))) |
| ✓ | accuracy | 66.1% | (/.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 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 99.8% | (/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| ✓ | accuracy | 100.0% | (/.f64 (-.f64 #s(literal 1 binary64) x) y) |
| ✓ | accuracy | 99.9% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)))) |
| ✓ | accuracy | 99.8% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))))) |
| ✓ | accuracy | 89.4% | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) |
| ✓ | accuracy | 77.6% | (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))) |
| 53.0ms | 196× | 0 | valid |
| 31.0ms | 46× | 1 | valid |
| 15.0ms | 14× | 2 | valid |
Compiled 598 to 36 computations (94% saved)
ival-mult: 21.0ms (35% of total)ival-div: 20.0ms (33.3% of total)ival-add: 11.0ms (18.3% of total)ival-sub: 5.0ms (8.3% of total)adjust: 3.0ms (5% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (/ 1 (+ 1 (/ (* (- 1 x) y) (- -1 y)))))> |
#<alt (/ 1 (+ 1 (/ (* (- 1 x) y) (- -1 y))))> |
#<alt (+ 1 (/ (* (- 1 x) y) (- -1 y)))> |
#<alt (/ (* (- 1 x) y) (- -1 y))> |
#<alt (+ x (/ (- 1 x) y))> |
#<alt (/ (- 1 x) y)> |
#<alt (- 1 x)> |
#<alt (/ x (+ 1 (/ 1 y)))> |
#<alt (+ 1 (/ 1 y))> |
#<alt (/ 1 y)> |
#<alt (* (/ (+ 1 (/ (* (* (- 1 x) y) (* (- 1 x) (* y (* (- 1 x) y)))) (* (- -1 y) (* (+ 1 y) (+ 1 y))))) (- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))) (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))))) (+ 1 (* (/ (* (- 1 x) y) (- -1 y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))))> |
#<alt (/ (+ 1 (/ (* (* (- 1 x) y) (* (- 1 x) (* y (* (- 1 x) y)))) (* (- -1 y) (* (+ 1 y) (+ 1 y))))) (- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))) (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))))))> |
#<alt (+ 1 (/ (* (* (- 1 x) y) (* (- 1 x) (* y (* (- 1 x) y)))) (* (- -1 y) (* (+ 1 y) (+ 1 y)))))> |
#<alt (/ (* (* (- 1 x) y) (* (- 1 x) (* y (* (- 1 x) y)))) (* (- -1 y) (* (+ 1 y) (+ 1 y))))> |
| Outputs |
|---|
#<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> |
#<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 (* -1 (/ y (+ 1 y)))))> |
#<alt (+ (* -1 (/ (* x y) (* (+ 1 y) (pow (+ 1 (* -1 (/ y (+ 1 y)))) 2)))) (/ 1 (+ 1 (* -1 (/ y (+ 1 y))))))> |
#<alt (+ (* x (- (/ (* x (pow y 2)) (* (pow (+ 1 y) 2) (pow (+ 1 (* -1 (/ y (+ 1 y)))) 3))) (/ y (* (+ 1 y) (pow (+ 1 (* -1 (/ y (+ 1 y)))) 2))))) (/ 1 (+ 1 (* -1 (/ y (+ 1 y))))))> |
#<alt (+ (* x (- (* x (- (* -1 (/ (* x (pow y 3)) (* (pow (+ 1 y) 3) (pow (+ 1 (* -1 (/ y (+ 1 y)))) 4)))) (* -1 (/ (pow y 2) (* (pow (+ 1 y) 2) (pow (+ 1 (* -1 (/ y (+ 1 y)))) 3)))))) (/ y (* (+ 1 y) (pow (+ 1 (* -1 (/ y (+ 1 y)))) 2))))) (/ 1 (+ 1 (* -1 (/ y (+ 1 y))))))> |
#<alt (/ (+ 1 y) (* x y))> |
#<alt (/ (+ 1 (+ (* -1 (/ (* (pow (+ 1 y) 2) (+ 1 (* -1 (/ y (+ 1 y))))) (* x (pow y 2)))) (/ 1 y))) x)> |
#<alt (/ (- (+ 1 (+ (/ 1 y) (/ (* (pow (+ 1 y) 3) (pow (+ 1 (* -1 (/ y (+ 1 y)))) 2)) (* (pow x 2) (pow y 3))))) (/ (* (pow (+ 1 y) 2) (+ 1 (* -1 (/ y (+ 1 y))))) (* x (pow y 2)))) x)> |
#<alt (/ (- (+ 1 (+ (* -1 (/ (* (pow (+ 1 y) 4) (pow (+ 1 (* -1 (/ y (+ 1 y)))) 3)) (* (pow x 3) (pow y 4)))) (/ 1 y))) (+ (* -1 (/ (* (pow (+ 1 y) 3) (pow (+ 1 (* -1 (/ y (+ 1 y)))) 2)) (* (pow x 2) (pow y 3)))) (/ (* (pow (+ 1 y) 2) (+ 1 (* -1 (/ y (+ 1 y))))) (* x (pow y 2))))) x)> |
#<alt (/ (+ 1 y) (* x y))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 y) y)) (/ (* (pow (+ 1 y) 2) (+ 1 (* -1 (/ y (+ 1 y))))) (* x (pow y 2)))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 y) y)) (* -1 (/ (- (/ (* (pow (+ 1 y) 3) (pow (+ 1 (* -1 (/ y (+ 1 y)))) 2)) (* x (pow y 3))) (/ (* (pow (+ 1 y) 2) (+ 1 (* -1 (/ y (+ 1 y))))) (pow y 2))) x))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (+ 1 y) y)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 y) 4) (pow (+ 1 (* -1 (/ y (+ 1 y)))) 3)) (* x (pow y 4))) (/ (* (pow (+ 1 y) 3) (pow (+ 1 (* -1 (/ y (+ 1 y)))) 2)) (pow y 3))) x)) (/ (* (pow (+ 1 y) 2) (+ 1 (* -1 (/ y (+ 1 y))))) (pow y 2))) x))) x))> |
#<alt 1> |
#<alt (+ 1 (* y (- 1 x)))> |
#<alt (+ 1 (* y (- (* -1 (* y (+ (* -1 (- x 1)) (* -1 (pow (- 1 x) 2))))) (* -1 (- 1 x)))))> |
#<alt (+ 1 (* y (- (* y (- (* -1 (* y (+ (* -1 (* (- 1 x) (- x 1))) (+ (* -1 (- 1 x)) (* (+ (* -1 (- x 1)) (* -1 (pow (- 1 x) 2))) (- 1 x)))))) (+ (* -1 (- x 1)) (* -1 (pow (- 1 x) 2))))) (* -1 (- 1 x)))))> |
#<alt (/ 1 (+ 1 (* -1 (- 1 x))))> |
#<alt (- (+ (/ 1 (+ 1 (* -1 (- 1 x)))) (/ x (* y (pow (+ 1 (* -1 (- 1 x))) 2)))) (/ 1 (* y (pow (+ 1 (* -1 (- 1 x))) 2))))> |
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (- 1 x) (pow (+ 1 (* -1 (- 1 x))) 2))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 (- 1 x))) 3)))) (pow y 2))) (/ 1 (+ 1 (* -1 (- 1 x))))) (* -1 (/ (- x 1) (* y (pow (+ 1 (* -1 (- 1 x))) 2)))))> |
#<alt (- (+ (* -1 (/ (+ (* -1 (/ (* (- 1 x) (- x 1)) (pow (+ 1 (* -1 (- 1 x))) 3))) (+ (* -1 (/ (- x 1) (pow (+ 1 (* -1 (- 1 x))) 2))) (/ (* (+ (* -1 (/ (- 1 x) (pow (+ 1 (* -1 (- 1 x))) 2))) (* -1 (/ (pow (- x 1) 2) (pow (+ 1 (* -1 (- 1 x))) 3)))) (- x 1)) (+ 1 (* -1 (- 1 x)))))) (pow y 3))) (/ 1 (+ 1 (* -1 (- 1 x))))) (+ (* -1 (/ (- 1 x) (* (pow y 2) (pow (+ 1 (* -1 (- 1 x))) 2)))) (+ (* -1 (/ (- x 1) (* y (pow (+ 1 (* -1 (- 1 x))) 2)))) (* -1 (/ (pow (- x 1) 2) (* (pow y 2) (pow (+ 1 (* -1 (- 1 x))) 3)))))))> |
#<alt (/ 1 (+ 1 (* -1 (- 1 x))))> |
#<alt (+ (* -1 (/ (- 1 x) (* y (pow (+ 1 (* -1 (- 1 x))) 2)))) (/ 1 (+ 1 (* -1 (- 1 x)))))> |
#<alt (+ (* -1 (/ (- (+ (* -1 (/ (- 1 x) (* y (pow (+ 1 (* -1 (- 1 x))) 2)))) (* -1 (/ (pow (- 1 x) 2) (* y (pow (+ 1 (* -1 (- 1 x))) 3))))) (* -1 (/ (- 1 x) (pow (+ 1 (* -1 (- 1 x))) 2)))) y)) (/ 1 (+ 1 (* -1 (- 1 x)))))> |
#<alt (+ (* -1 (/ (- (* -1 (/ (- (+ (* -1 (/ (- 1 x) (* y (pow (+ 1 (* -1 (- 1 x))) 2)))) (+ (* -1 (/ (pow (- 1 x) 2) (* y (pow (+ 1 (* -1 (- 1 x))) 3)))) (/ (* (+ (* -1 (/ (- 1 x) (pow (+ 1 (* -1 (- 1 x))) 2))) (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 (- 1 x))) 3)))) (- 1 x)) (* y (+ 1 (* -1 (- 1 x))))))) (+ (* -1 (/ (- 1 x) (pow (+ 1 (* -1 (- 1 x))) 2))) (* -1 (/ (pow (- 1 x) 2) (pow (+ 1 (* -1 (- 1 x))) 3))))) y)) (* -1 (/ (- 1 x) (pow (+ 1 (* -1 (- 1 x))) 2)))) y)) (/ 1 (+ 1 (* -1 (- 1 x)))))> |
#<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> |
#<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 (/ y (+ 1 y)))> |
#<alt (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))> |
#<alt (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))> |
#<alt (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))> |
#<alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))> |
#<alt (* x (+ (* -1 (/ y (* x (+ 1 y)))) (/ y (+ 1 y))))> |
#<alt (/ (* x y) (+ 1 y))> |
#<alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* -1 (* x (+ (* -1 (/ y (+ 1 y))) (/ y (* x (+ 1 y))))))> |
#<alt (* -1 (* y (- 1 x)))> |
#<alt (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))> |
#<alt (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))> |
#<alt (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (- x 1)) (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))))))> |
#<alt (* -1 (- 1 x))> |
#<alt (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))> |
#<alt (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))> |
#<alt (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))> |
#<alt (* -1 (- 1 x))> |
#<alt (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y))> |
#<alt (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))> |
#<alt (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))> |
#<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 y)) (/ x y))> |
#<alt (- (+ x (/ 1 y)) (/ x y))> |
#<alt (- (+ x (/ 1 y)) (/ x 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> |
#<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 (/ x (+ 1 (/ 1 y)))> |
#<alt (/ x (+ 1 (/ 1 y)))> |
#<alt (/ x (+ 1 (/ 1 y)))> |
#<alt (/ x (+ 1 (/ 1 y)))> |
#<alt (/ x (+ 1 (/ 1 y)))> |
#<alt (/ x (+ 1 (/ 1 y)))> |
#<alt (/ x (+ 1 (/ 1 y)))> |
#<alt (/ x (+ 1 (/ 1 y)))> |
#<alt (/ x (+ 1 (/ 1 y)))> |
#<alt (/ x (+ 1 (/ 1 y)))> |
#<alt (/ x (+ 1 (/ 1 y)))> |
#<alt (/ x (+ 1 (/ 1 y)))> |
#<alt (* x y)> |
#<alt (* y (+ x (* -1 (* x y))))> |
#<alt (* y (+ x (* y (- (* x y) x))))> |
#<alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))))> |
#<alt x> |
#<alt (+ x (* -1 (/ x y)))> |
#<alt (- (+ x (/ x (pow y 2))) (/ x y))> |
#<alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y)))> |
#<alt x> |
#<alt (+ x (* -1 (/ x y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y)))> |
#<alt (+ x (* -1 (/ (- (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y)) (* -1 x)) y)))> |
#<alt (/ 1 y)> |
#<alt (/ (+ 1 y) y)> |
#<alt (/ (+ 1 y) y)> |
#<alt (/ (+ 1 y) 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 (* -1 (/ (* y (+ 1 (/ y (+ 1 y)))) (+ 1 y)))) (+ 1 (* -1 (/ (pow y 3) (pow (+ 1 y) 3))))) (- 1 (/ (* (pow y 2) (pow (+ 1 (/ y (+ 1 y))) 2)) (pow (+ 1 y) 2))))> |
#<alt (+ (* x (- (+ (* -1 (/ (* y (* (+ 1 (* -1 (/ (pow y 3) (pow (+ 1 y) 3)))) (+ (* -1 (+ 1 (/ y (+ 1 y)))) (* -1 (/ y (+ 1 y)))))) (* (+ 1 y) (- 1 (/ (* (pow y 2) (pow (+ 1 (/ y (+ 1 y))) 2)) (pow (+ 1 y) 2)))))) (* 3 (/ (* (pow y 3) (+ 1 (* -1 (/ (* y (+ 1 (/ y (+ 1 y)))) (+ 1 y))))) (* (pow (+ 1 y) 3) (- 1 (/ (* (pow y 2) (pow (+ 1 (/ y (+ 1 y))) 2)) (pow (+ 1 y) 2))))))) (* -1 (/ (* (pow y 2) (* (+ 1 (* -1 (/ (* y (+ 1 (/ y (+ 1 y)))) (+ 1 y)))) (* (+ 1 (* -1 (/ (pow y 3) (pow (+ 1 y) 3)))) (+ (* -2 (/ (* y (+ 1 (/ y (+ 1 y)))) (+ 1 y))) (* -2 (pow (+ 1 (/ y (+ 1 y))) 2)))))) (* (pow (+ 1 y) 2) (pow (- 1 (/ (* (pow y 2) (pow (+ 1 (/ y (+ 1 y))) 2)) (pow (+ 1 y) 2))) 2)))))) (/ (* (+ 1 (* -1 (/ (* y (+ 1 (/ y (+ 1 y)))) (+ 1 y)))) (+ 1 (* -1 (/ (pow y 3) (pow (+ 1 y) 3))))) (- 1 (/ (* (pow y 2) (pow (+ 1 (/ y (+ 1 y))) 2)) (pow (+ 1 y) 2)))))> |
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#<alt (+ (* -1 (/ (- (+ (* -3 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (* -1 (/ (- (+ (* -9 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (* 3 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2)))))) (+ (/ (* (+ 1 (* -1 (pow (- 1 x) 3))) (- (+ (* -2 (- (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))) (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* (+ (* -2 (* (- 2 x) (- x 1))) (pow (- x 1) 2)) (pow (- 1 x) 2)))) (pow (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) 2)) (/ (* (- (* -3 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (/ (* (+ 1 (* -1 (pow (- 1 x) 3))) (- (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))))) (pow (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) 2))) (- (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))))) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2)))))) y))) (/ (* (+ 1 (* -1 (pow (- 1 x) 3))) (- (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))))) (pow (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) 2))) y)) (+ (* -1 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (/ 1 (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))))> |
#<alt (+ (* -1 (/ (- (+ (* -3 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (* -1 (/ (- (+ (* -9 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (+ (* -1 (/ (- (+ (* -1 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (+ (* 3 (/ (+ (* -9 (pow (- 1 x) 3)) (* 3 (pow (- 1 x) 3))) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (* 9 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))))) (+ (/ (* (+ 1 (* -1 (pow (- 1 x) 3))) (- (+ (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))) (* -2 (- (* (+ (* -2 (* (- 2 x) (- x 1))) (pow (- x 1) 2)) (pow (- 1 x) 2)) (+ (* -2 (- (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))) (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (* (pow (- 1 x) 2) (pow (- 2 x) 2)))))) (+ (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* (+ (* -2 (* (- 2 x) (- x 1))) (* 2 (pow (- x 1) 2))) (pow (- 1 x) 2))))) (pow (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) 2)) (+ (/ (* (- (* -3 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (/ (* (+ 1 (* -1 (pow (- 1 x) 3))) (- (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))))) (pow (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) 2))) (- (+ (* -2 (- (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))) (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* (+ (* -2 (* (- 2 x) (- x 1))) (pow (- x 1) 2)) (pow (- 1 x) 2)))) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2)))) (/ (* (- (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1))))) (- (+ (* -9 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (* 3 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2)))))) (+ (/ (* (+ 1 (* -1 (pow (- 1 x) 3))) (- (+ (* -2 (- (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))) (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* (+ (* -2 (* (- 2 x) (- x 1))) (pow (- x 1) 2)) (pow (- 1 x) 2)))) (pow (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) 2)) (/ (* (- (* -3 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (/ (* (+ 1 (* -1 (pow (- 1 x) 3))) (- (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))))) (pow (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) 2))) (- (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))))) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))))) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))))) y)) (* 3 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))))) (+ (/ (* (+ 1 (* -1 (pow (- 1 x) 3))) (- (+ (* -2 (- (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))) (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* (+ (* -2 (* (- 2 x) (- x 1))) (pow (- x 1) 2)) (pow (- 1 x) 2)))) (pow (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) 2)) (/ (* (- (* -3 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (/ (* (+ 1 (* -1 (pow (- 1 x) 3))) (- (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))))) (pow (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) 2))) (- (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))))) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2)))))) y))) (/ (* (+ 1 (* -1 (pow (- 1 x) 3))) (- (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))))) (pow (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) 2))) y)) (+ (* -1 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (/ 1 (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))))> |
#<alt (+ 1 (* -1 (/ (pow y 3) (pow (+ 1 y) 3))))> |
#<alt (+ 1 (+ (* -1 (/ (pow y 3) (pow (+ 1 y) 3))) (* 3 (/ (* x (pow y 3)) (pow (+ 1 y) 3)))))> |
#<alt (+ 1 (+ (* -1 (/ (pow y 3) (pow (+ 1 y) 3))) (* x (+ (* -3 (/ (* x (pow y 3)) (pow (+ 1 y) 3))) (* 3 (/ (pow y 3) (pow (+ 1 y) 3)))))))> |
#<alt (+ 1 (+ (* -1 (/ (pow y 3) (pow (+ 1 y) 3))) (* x (+ (* 3 (/ (pow y 3) (pow (+ 1 y) 3))) (* x (+ (* -3 (/ (pow y 3) (pow (+ 1 y) 3))) (/ (* x (pow y 3)) (pow (+ 1 y) 3))))))))> |
#<alt (/ (* (pow x 3) (pow y 3)) (pow (+ 1 y) 3))> |
#<alt (* (pow x 3) (+ (* -3 (/ (pow y 3) (* x (pow (+ 1 y) 3)))) (/ (pow y 3) (pow (+ 1 y) 3))))> |
#<alt (* (pow x 3) (+ (* -3 (/ (pow y 3) (* x (pow (+ 1 y) 3)))) (+ (* 3 (/ (pow y 3) (* (pow x 2) (pow (+ 1 y) 3)))) (/ (pow y 3) (pow (+ 1 y) 3)))))> |
#<alt (* (pow x 3) (+ (* -3 (/ (pow y 3) (* x (pow (+ 1 y) 3)))) (+ (* -1 (/ (pow y 3) (* (pow x 3) (pow (+ 1 y) 3)))) (+ (* 3 (/ (pow y 3) (* (pow x 2) (pow (+ 1 y) 3)))) (+ (/ 1 (pow x 3)) (/ (pow y 3) (pow (+ 1 y) 3)))))))> |
#<alt (/ (* (pow x 3) (pow y 3)) (pow (+ 1 y) 3))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (pow y 3) (pow (+ 1 y) 3))) (* 3 (/ (pow y 3) (* x (pow (+ 1 y) 3)))))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -3 (/ (pow y 3) (pow (+ 1 y) 3))) (* 3 (/ (pow y 3) (* x (pow (+ 1 y) 3))))) x)) (* -1 (/ (pow y 3) (pow (+ 1 y) 3))))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -3 (/ (pow y 3) (pow (+ 1 y) 3))) (* -1 (/ (+ (* -3 (/ (pow y 3) (pow (+ 1 y) 3))) (* -1 (/ (+ 1 (* -1 (/ (pow y 3) (pow (+ 1 y) 3)))) x))) x))) x)) (* -1 (/ (pow y 3) (pow (+ 1 y) 3))))))> |
#<alt 1> |
#<alt (+ 1 (* -1 (* (pow y 3) (pow (- 1 x) 3))))> |
#<alt (+ 1 (* (pow y 3) (+ (* -1 (pow (- 1 x) 3)) (* 3 (* y (pow (- 1 x) 3))))))> |
#<alt (+ 1 (* (pow y 3) (+ (* -1 (pow (- 1 x) 3)) (* y (+ (* 3 (pow (- 1 x) 3)) (* y (+ (* -9 (pow (- 1 x) 3)) (* 3 (pow (- 1 x) 3)))))))))> |
#<alt (+ 1 (* -1 (pow (- 1 x) 3)))> |
#<alt (+ 1 (+ (* -1 (pow (- 1 x) 3)) (* 3 (/ (pow (- 1 x) 3) y))))> |
#<alt (+ 1 (+ (* -9 (/ (pow (- 1 x) 3) (pow y 2))) (+ (* -1 (pow (- 1 x) 3)) (+ (* 3 (/ (pow (- 1 x) 3) y)) (* 3 (/ (pow (- 1 x) 3) (pow y 2)))))))> |
#<alt (+ 1 (+ (* -9 (/ (pow (- 1 x) 3) (pow y 2))) (+ (* -9 (/ (pow (- 1 x) 3) (pow y 3))) (+ (* -3 (/ (+ (* -9 (pow (- 1 x) 3)) (* 3 (pow (- 1 x) 3))) (pow y 3))) (+ (* -1 (pow (- 1 x) 3)) (+ (* 3 (/ (pow (- 1 x) 3) y)) (+ (* 3 (/ (pow (- 1 x) 3) (pow y 2))) (/ (pow (- 1 x) 3) (pow y 3)))))))))> |
#<alt (+ 1 (* -1 (pow (- 1 x) 3)))> |
#<alt (+ 1 (+ (* -1 (pow (- 1 x) 3)) (* 3 (/ (pow (- 1 x) 3) y))))> |
#<alt (+ 1 (+ (* -1 (/ (+ (* -3 (pow (- 1 x) 3)) (* -1 (/ (+ (* -9 (pow (- 1 x) 3)) (* 3 (pow (- 1 x) 3))) y))) y)) (* -1 (pow (- 1 x) 3))))> |
#<alt (+ 1 (+ (* -1 (/ (+ (* -3 (pow (- 1 x) 3)) (* -1 (/ (+ (* -9 (pow (- 1 x) 3)) (+ (* -1 (/ (+ (* -1 (pow (- 1 x) 3)) (+ (* 3 (+ (* -9 (pow (- 1 x) 3)) (* 3 (pow (- 1 x) 3)))) (* 9 (pow (- 1 x) 3)))) y)) (* 3 (pow (- 1 x) 3)))) y))) y)) (* -1 (pow (- 1 x) 3))))> |
#<alt (* -1 (/ (pow y 3) (pow (+ 1 y) 3)))> |
#<alt (+ (* -1 (/ (pow y 3) (pow (+ 1 y) 3))) (* 3 (/ (* x (pow y 3)) (pow (+ 1 y) 3))))> |
#<alt (+ (* -1 (/ (pow y 3) (pow (+ 1 y) 3))) (* x (+ (* -3 (/ (* x (pow y 3)) (pow (+ 1 y) 3))) (* 3 (/ (pow y 3) (pow (+ 1 y) 3))))))> |
#<alt (+ (* -1 (/ (pow y 3) (pow (+ 1 y) 3))) (* x (+ (* 3 (/ (pow y 3) (pow (+ 1 y) 3))) (* x (+ (* -3 (/ (pow y 3) (pow (+ 1 y) 3))) (/ (* x (pow y 3)) (pow (+ 1 y) 3)))))))> |
#<alt (/ (* (pow x 3) (pow y 3)) (pow (+ 1 y) 3))> |
#<alt (* (pow x 3) (+ (* -3 (/ (pow y 3) (* x (pow (+ 1 y) 3)))) (/ (pow y 3) (pow (+ 1 y) 3))))> |
#<alt (* (pow x 3) (+ (* -3 (/ (pow y 3) (* x (pow (+ 1 y) 3)))) (+ (* 3 (/ (pow y 3) (* (pow x 2) (pow (+ 1 y) 3)))) (/ (pow y 3) (pow (+ 1 y) 3)))))> |
#<alt (* (pow x 3) (+ (* -3 (/ (pow y 3) (* x (pow (+ 1 y) 3)))) (+ (* -1 (/ (pow y 3) (* (pow x 3) (pow (+ 1 y) 3)))) (+ (* 3 (/ (pow y 3) (* (pow x 2) (pow (+ 1 y) 3)))) (/ (pow y 3) (pow (+ 1 y) 3))))))> |
#<alt (/ (* (pow x 3) (pow y 3)) (pow (+ 1 y) 3))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (pow y 3) (pow (+ 1 y) 3))) (* 3 (/ (pow y 3) (* x (pow (+ 1 y) 3)))))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -3 (/ (pow y 3) (pow (+ 1 y) 3))) (* 3 (/ (pow y 3) (* x (pow (+ 1 y) 3))))) x)) (* -1 (/ (pow y 3) (pow (+ 1 y) 3))))))> |
#<alt (* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -3 (/ (pow y 3) (pow (+ 1 y) 3))) (* -1 (/ (+ (* -3 (/ (pow y 3) (pow (+ 1 y) 3))) (/ (pow y 3) (* x (pow (+ 1 y) 3)))) x))) x)) (* -1 (/ (pow y 3) (pow (+ 1 y) 3))))))> |
#<alt (* -1 (* (pow y 3) (pow (- 1 x) 3)))> |
#<alt (* (pow y 3) (+ (* -1 (pow (- 1 x) 3)) (* 3 (* y (pow (- 1 x) 3)))))> |
#<alt (* (pow y 3) (+ (* -1 (pow (- 1 x) 3)) (* y (+ (* 3 (pow (- 1 x) 3)) (* y (+ (* -9 (pow (- 1 x) 3)) (* 3 (pow (- 1 x) 3))))))))> |
#<alt (* (pow y 3) (+ (* -1 (pow (- 1 x) 3)) (* y (+ (* 3 (pow (- 1 x) 3)) (* y (+ (* -9 (pow (- 1 x) 3)) (+ (* 3 (pow (- 1 x) 3)) (* y (+ (* -9 (pow (- 1 x) 3)) (+ (* -3 (+ (* -9 (pow (- 1 x) 3)) (* 3 (pow (- 1 x) 3)))) (pow (- 1 x) 3)))))))))))> |
#<alt (* -1 (pow (- 1 x) 3))> |
#<alt (+ (* -1 (pow (- 1 x) 3)) (* 3 (/ (pow (- 1 x) 3) y)))> |
#<alt (+ (* -9 (/ (pow (- 1 x) 3) (pow y 2))) (+ (* -1 (pow (- 1 x) 3)) (+ (* 3 (/ (pow (- 1 x) 3) y)) (* 3 (/ (pow (- 1 x) 3) (pow y 2))))))> |
#<alt (+ (* -9 (/ (pow (- 1 x) 3) (pow y 2))) (+ (* -9 (/ (pow (- 1 x) 3) (pow y 3))) (+ (* -3 (/ (+ (* -9 (pow (- 1 x) 3)) (* 3 (pow (- 1 x) 3))) (pow y 3))) (+ (* -1 (pow (- 1 x) 3)) (+ (* 3 (/ (pow (- 1 x) 3) y)) (+ (* 3 (/ (pow (- 1 x) 3) (pow y 2))) (/ (pow (- 1 x) 3) (pow y 3))))))))> |
#<alt (* -1 (pow (- 1 x) 3))> |
#<alt (+ (* -1 (pow (- 1 x) 3)) (* 3 (/ (pow (- 1 x) 3) y)))> |
#<alt (+ (* -1 (/ (+ (* -3 (pow (- 1 x) 3)) (* -1 (/ (+ (* -9 (pow (- 1 x) 3)) (* 3 (pow (- 1 x) 3))) y))) y)) (* -1 (pow (- 1 x) 3)))> |
#<alt (+ (* -1 (/ (+ (* -3 (pow (- 1 x) 3)) (* -1 (/ (+ (* -9 (pow (- 1 x) 3)) (+ (* -1 (/ (+ (* -1 (pow (- 1 x) 3)) (+ (* 3 (+ (* -9 (pow (- 1 x) 3)) (* 3 (pow (- 1 x) 3)))) (* 9 (pow (- 1 x) 3)))) y)) (* 3 (pow (- 1 x) 3)))) y))) y)) (* -1 (pow (- 1 x) 3)))> |
75 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 204.0ms | y | @ | inf | (* (/ (+ 1 (/ (* (* (- 1 x) y) (* (- 1 x) (* y (* (- 1 x) y)))) (* (- -1 y) (* (+ 1 y) (+ 1 y))))) (- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))) (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))))) (+ 1 (* (/ (* (- 1 x) y) (- -1 y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))))) |
| 10.0ms | x | @ | inf | (* (/ (+ 1 (/ (* (* (- 1 x) y) (* (- 1 x) (* y (* (- 1 x) y)))) (* (- -1 y) (* (+ 1 y) (+ 1 y))))) (- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))) (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))))) (+ 1 (* (/ (* (- 1 x) y) (- -1 y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))))) |
| 8.0ms | x | @ | inf | (/ (+ 1 (/ (* (* (- 1 x) y) (* (- 1 x) (* y (* (- 1 x) y)))) (* (- -1 y) (* (+ 1 y) (+ 1 y))))) (- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))) (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))))) |
| 7.0ms | x | @ | 0 | (* (/ (+ 1 (/ (* (* (- 1 x) y) (* (- 1 x) (* y (* (- 1 x) y)))) (* (- -1 y) (* (+ 1 y) (+ 1 y))))) (- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))) (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))))) (+ 1 (* (/ (* (- 1 x) y) (- -1 y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))))) |
| 6.0ms | y | @ | -inf | (* (/ (+ 1 (/ (* (* (- 1 x) y) (* (- 1 x) (* y (* (- 1 x) y)))) (* (- -1 y) (* (+ 1 y) (+ 1 y))))) (- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))) (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))))) (+ 1 (* (/ (* (- 1 x) y) (- -1 y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))))) |
| 1× | batch-egg-rewrite |
| 4 508× | /-lowering-/.f32 |
| 4 508× | /-lowering-/.f64 |
| 3 852× | *-lowering-*.f32 |
| 3 852× | *-lowering-*.f64 |
| 3 846× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 34 | 264 |
| 1 | 282 | 224 |
| 2 | 3320 | 200 |
| 0 | 9484 | 193 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (/ 1 (+ 1 (/ (* (- 1 x) y) (- -1 y))))) |
(/ 1 (+ 1 (/ (* (- 1 x) y) (- -1 y)))) |
(+ 1 (/ (* (- 1 x) y) (- -1 y))) |
(/ (* (- 1 x) y) (- -1 y)) |
(+ x (/ (- 1 x) y)) |
(/ (- 1 x) y) |
(- 1 x) |
(/ x (+ 1 (/ 1 y))) |
(+ 1 (/ 1 y)) |
(/ 1 y) |
(* (/ (+ 1 (/ (* (* (- 1 x) y) (* (- 1 x) (* y (* (- 1 x) y)))) (* (- -1 y) (* (+ 1 y) (+ 1 y))))) (- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))) (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))))) (+ 1 (* (/ (* (- 1 x) y) (- -1 y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))))) |
(/ (+ 1 (/ (* (* (- 1 x) y) (* (- 1 x) (* y (* (- 1 x) y)))) (* (- -1 y) (* (+ 1 y) (+ 1 y))))) (- 1 (* (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y)))) (* (/ (- 1 x) (/ (+ 1 y) y)) (+ 1 (/ (- 1 x) (/ (+ 1 y) y))))))) |
(+ 1 (/ (* (* (- 1 x) y) (* (- 1 x) (* y (* (- 1 x) y)))) (* (- -1 y) (* (+ 1 y) (+ 1 y))))) |
(/ (* (* (- 1 x) y) (* (- 1 x) (* y (* (- 1 x) y)))) (* (- -1 y) (* (+ 1 y) (+ 1 y)))) |
| Outputs |
|---|
(+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))) |
(+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))) y)) |
(+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 0 binary64) y)) (/.f64 #s(literal 1 binary64) (-.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 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) #s(literal 1 binary64)) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) y) y))) |
(exp.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)))) |
(exp.f64 (*.f64 (log1p.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.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 #s(literal -1 binary64) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (-.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))))) |
(-.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (-.f64 (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) y) y)) #s(literal 1 binary64))) |
(-.f64 (+.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) y) 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 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.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 #s(literal 1 binary64) x) (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(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 #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)) |
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(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (/.f64 (*.f64 y (*.f64 y y)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) #s(literal 3 binary64)) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) #s(literal 3 binary64)) (pow.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 3 binary64))) |
(*.f64 (pow.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal 1 binary64) y))) #s(literal 3 binary64)) (*.f64 y (*.f64 y y))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 1 binary64)) #s(literal 3 binary64)) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 y (+.f64 #s(literal 1 binary64) y))))) |
| 1× | egg-herbie |
| 6 804× | accelerator-lowering-fma.f32 |
| 6 804× | accelerator-lowering-fma.f64 |
| 6 160× | *-lowering-*.f32 |
| 6 160× | *-lowering-*.f64 |
| 3 388× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1253 | 21169 |
| 1 | 4509 | 20414 |
| 0 | 8388 | 19924 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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1 |
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1 |
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(/ (+ 1 (* -1 (pow (- 1 x) 3))) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2)))) |
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(+ (* -1 (/ (- (+ (* -3 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (* -1 (/ (- (+ (* -9 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (* 3 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2)))))) (+ (/ (* (+ 1 (* -1 (pow (- 1 x) 3))) (- (+ (* -2 (- (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))) (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* (+ (* -2 (* (- 2 x) (- x 1))) (pow (- x 1) 2)) (pow (- 1 x) 2)))) (pow (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) 2)) (/ (* (- (* -3 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (/ (* (+ 1 (* -1 (pow (- 1 x) 3))) (- (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))))) (pow (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) 2))) (- (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))))) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2)))))) y))) (/ (* (+ 1 (* -1 (pow (- 1 x) 3))) (- (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))))) (pow (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) 2))) y)) (+ (* -1 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (/ 1 (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2)))))) |
(+ (* -1 (/ (- (+ (* -3 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (* -1 (/ (- (+ (* -9 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (+ (* -1 (/ (- (+ (* -1 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (+ (* 3 (/ (+ (* -9 (pow (- 1 x) 3)) (* 3 (pow (- 1 x) 3))) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (* 9 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))))) (+ (/ (* (+ 1 (* -1 (pow (- 1 x) 3))) (- (+ (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))) (* -2 (- (* (+ (* -2 (* (- 2 x) (- x 1))) (pow (- x 1) 2)) (pow (- 1 x) 2)) (+ (* -2 (- (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))) (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (* (pow (- 1 x) 2) (pow (- 2 x) 2)))))) (+ (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* (+ (* -2 (* (- 2 x) (- x 1))) (* 2 (pow (- x 1) 2))) (pow (- 1 x) 2))))) (pow (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) 2)) (+ (/ (* (- (* -3 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (/ (* (+ 1 (* -1 (pow (- 1 x) 3))) (- (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))))) (pow (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) 2))) (- (+ (* -2 (- (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))) (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* (+ (* -2 (* (- 2 x) (- x 1))) (pow (- x 1) 2)) (pow (- 1 x) 2)))) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2)))) (/ (* (- (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1))))) (- (+ (* -9 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (* 3 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2)))))) (+ (/ (* (+ 1 (* -1 (pow (- 1 x) 3))) (- (+ (* -2 (- (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))) (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* (+ (* -2 (* (- 2 x) (- x 1))) (pow (- x 1) 2)) (pow (- 1 x) 2)))) (pow (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) 2)) (/ (* (- (* -3 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (/ (* (+ 1 (* -1 (pow (- 1 x) 3))) (- (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))))) (pow (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) 2))) (- (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))))) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))))) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))))) y)) (* 3 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))))) (+ (/ (* (+ 1 (* -1 (pow (- 1 x) 3))) (- (+ (* -2 (- (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))) (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* (+ (* -2 (* (- 2 x) (- x 1))) (pow (- x 1) 2)) (pow (- 1 x) 2)))) (pow (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) 2)) (/ (* (- (* -3 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (/ (* (+ 1 (* -1 (pow (- 1 x) 3))) (- (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))))) (pow (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) 2))) (- (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))))) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2)))))) y))) (/ (* (+ 1 (* -1 (pow (- 1 x) 3))) (- (* -2 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) (* -2 (* (pow (- 1 x) 2) (* (- 2 x) (- x 1)))))) (pow (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))) 2))) y)) (+ (* -1 (/ (pow (- 1 x) 3) (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2))))) (/ 1 (- 1 (* (pow (- 1 x) 2) (pow (- 2 x) 2)))))) |
(+ 1 (* -1 (/ (pow y 3) (pow (+ 1 y) 3)))) |
(+ 1 (+ (* -1 (/ (pow y 3) (pow (+ 1 y) 3))) (* 3 (/ (* x (pow y 3)) (pow (+ 1 y) 3))))) |
(+ 1 (+ (* -1 (/ (pow y 3) (pow (+ 1 y) 3))) (* x (+ (* -3 (/ (* x (pow y 3)) (pow (+ 1 y) 3))) (* 3 (/ (pow y 3) (pow (+ 1 y) 3))))))) |
(+ 1 (+ (* -1 (/ (pow y 3) (pow (+ 1 y) 3))) (* x (+ (* 3 (/ (pow y 3) (pow (+ 1 y) 3))) (* x (+ (* -3 (/ (pow y 3) (pow (+ 1 y) 3))) (/ (* x (pow y 3)) (pow (+ 1 y) 3)))))))) |
(/ (* (pow x 3) (pow y 3)) (pow (+ 1 y) 3)) |
(* (pow x 3) (+ (* -3 (/ (pow y 3) (* x (pow (+ 1 y) 3)))) (/ (pow y 3) (pow (+ 1 y) 3)))) |
(* (pow x 3) (+ (* -3 (/ (pow y 3) (* x (pow (+ 1 y) 3)))) (+ (* 3 (/ (pow y 3) (* (pow x 2) (pow (+ 1 y) 3)))) (/ (pow y 3) (pow (+ 1 y) 3))))) |
(* (pow x 3) (+ (* -3 (/ (pow y 3) (* x (pow (+ 1 y) 3)))) (+ (* -1 (/ (pow y 3) (* (pow x 3) (pow (+ 1 y) 3)))) (+ (* 3 (/ (pow y 3) (* (pow x 2) (pow (+ 1 y) 3)))) (+ (/ 1 (pow x 3)) (/ (pow y 3) (pow (+ 1 y) 3))))))) |
(/ (* (pow x 3) (pow y 3)) (pow (+ 1 y) 3)) |
(* -1 (* (pow x 3) (+ (* -1 (/ (pow y 3) (pow (+ 1 y) 3))) (* 3 (/ (pow y 3) (* x (pow (+ 1 y) 3))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -3 (/ (pow y 3) (pow (+ 1 y) 3))) (* 3 (/ (pow y 3) (* x (pow (+ 1 y) 3))))) x)) (* -1 (/ (pow y 3) (pow (+ 1 y) 3)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -3 (/ (pow y 3) (pow (+ 1 y) 3))) (* -1 (/ (+ (* -3 (/ (pow y 3) (pow (+ 1 y) 3))) (* -1 (/ (+ 1 (* -1 (/ (pow y 3) (pow (+ 1 y) 3)))) x))) x))) x)) (* -1 (/ (pow y 3) (pow (+ 1 y) 3)))))) |
1 |
(+ 1 (* -1 (* (pow y 3) (pow (- 1 x) 3)))) |
(+ 1 (* (pow y 3) (+ (* -1 (pow (- 1 x) 3)) (* 3 (* y (pow (- 1 x) 3)))))) |
(+ 1 (* (pow y 3) (+ (* -1 (pow (- 1 x) 3)) (* y (+ (* 3 (pow (- 1 x) 3)) (* y (+ (* -9 (pow (- 1 x) 3)) (* 3 (pow (- 1 x) 3))))))))) |
(+ 1 (* -1 (pow (- 1 x) 3))) |
(+ 1 (+ (* -1 (pow (- 1 x) 3)) (* 3 (/ (pow (- 1 x) 3) y)))) |
(+ 1 (+ (* -9 (/ (pow (- 1 x) 3) (pow y 2))) (+ (* -1 (pow (- 1 x) 3)) (+ (* 3 (/ (pow (- 1 x) 3) y)) (* 3 (/ (pow (- 1 x) 3) (pow y 2))))))) |
(+ 1 (+ (* -9 (/ (pow (- 1 x) 3) (pow y 2))) (+ (* -9 (/ (pow (- 1 x) 3) (pow y 3))) (+ (* -3 (/ (+ (* -9 (pow (- 1 x) 3)) (* 3 (pow (- 1 x) 3))) (pow y 3))) (+ (* -1 (pow (- 1 x) 3)) (+ (* 3 (/ (pow (- 1 x) 3) y)) (+ (* 3 (/ (pow (- 1 x) 3) (pow y 2))) (/ (pow (- 1 x) 3) (pow y 3))))))))) |
(+ 1 (* -1 (pow (- 1 x) 3))) |
(+ 1 (+ (* -1 (pow (- 1 x) 3)) (* 3 (/ (pow (- 1 x) 3) y)))) |
(+ 1 (+ (* -1 (/ (+ (* -3 (pow (- 1 x) 3)) (* -1 (/ (+ (* -9 (pow (- 1 x) 3)) (* 3 (pow (- 1 x) 3))) y))) y)) (* -1 (pow (- 1 x) 3)))) |
(+ 1 (+ (* -1 (/ (+ (* -3 (pow (- 1 x) 3)) (* -1 (/ (+ (* -9 (pow (- 1 x) 3)) (+ (* -1 (/ (+ (* -1 (pow (- 1 x) 3)) (+ (* 3 (+ (* -9 (pow (- 1 x) 3)) (* 3 (pow (- 1 x) 3)))) (* 9 (pow (- 1 x) 3)))) y)) (* 3 (pow (- 1 x) 3)))) y))) y)) (* -1 (pow (- 1 x) 3)))) |
(* -1 (/ (pow y 3) (pow (+ 1 y) 3))) |
(+ (* -1 (/ (pow y 3) (pow (+ 1 y) 3))) (* 3 (/ (* x (pow y 3)) (pow (+ 1 y) 3)))) |
(+ (* -1 (/ (pow y 3) (pow (+ 1 y) 3))) (* x (+ (* -3 (/ (* x (pow y 3)) (pow (+ 1 y) 3))) (* 3 (/ (pow y 3) (pow (+ 1 y) 3)))))) |
(+ (* -1 (/ (pow y 3) (pow (+ 1 y) 3))) (* x (+ (* 3 (/ (pow y 3) (pow (+ 1 y) 3))) (* x (+ (* -3 (/ (pow y 3) (pow (+ 1 y) 3))) (/ (* x (pow y 3)) (pow (+ 1 y) 3))))))) |
(/ (* (pow x 3) (pow y 3)) (pow (+ 1 y) 3)) |
(* (pow x 3) (+ (* -3 (/ (pow y 3) (* x (pow (+ 1 y) 3)))) (/ (pow y 3) (pow (+ 1 y) 3)))) |
(* (pow x 3) (+ (* -3 (/ (pow y 3) (* x (pow (+ 1 y) 3)))) (+ (* 3 (/ (pow y 3) (* (pow x 2) (pow (+ 1 y) 3)))) (/ (pow y 3) (pow (+ 1 y) 3))))) |
(* (pow x 3) (+ (* -3 (/ (pow y 3) (* x (pow (+ 1 y) 3)))) (+ (* -1 (/ (pow y 3) (* (pow x 3) (pow (+ 1 y) 3)))) (+ (* 3 (/ (pow y 3) (* (pow x 2) (pow (+ 1 y) 3)))) (/ (pow y 3) (pow (+ 1 y) 3)))))) |
(/ (* (pow x 3) (pow y 3)) (pow (+ 1 y) 3)) |
(* -1 (* (pow x 3) (+ (* -1 (/ (pow y 3) (pow (+ 1 y) 3))) (* 3 (/ (pow y 3) (* x (pow (+ 1 y) 3))))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -3 (/ (pow y 3) (pow (+ 1 y) 3))) (* 3 (/ (pow y 3) (* x (pow (+ 1 y) 3))))) x)) (* -1 (/ (pow y 3) (pow (+ 1 y) 3)))))) |
(* -1 (* (pow x 3) (+ (* -1 (/ (+ (* -3 (/ (pow y 3) (pow (+ 1 y) 3))) (* -1 (/ (+ (* -3 (/ (pow y 3) (pow (+ 1 y) 3))) (/ (pow y 3) (* x (pow (+ 1 y) 3)))) x))) x)) (* -1 (/ (pow y 3) (pow (+ 1 y) 3)))))) |
(* -1 (* (pow y 3) (pow (- 1 x) 3))) |
(* (pow y 3) (+ (* -1 (pow (- 1 x) 3)) (* 3 (* y (pow (- 1 x) 3))))) |
(* (pow y 3) (+ (* -1 (pow (- 1 x) 3)) (* y (+ (* 3 (pow (- 1 x) 3)) (* y (+ (* -9 (pow (- 1 x) 3)) (* 3 (pow (- 1 x) 3)))))))) |
(* (pow y 3) (+ (* -1 (pow (- 1 x) 3)) (* y (+ (* 3 (pow (- 1 x) 3)) (* y (+ (* -9 (pow (- 1 x) 3)) (+ (* 3 (pow (- 1 x) 3)) (* y (+ (* -9 (pow (- 1 x) 3)) (+ (* -3 (+ (* -9 (pow (- 1 x) 3)) (* 3 (pow (- 1 x) 3)))) (pow (- 1 x) 3))))))))))) |
(* -1 (pow (- 1 x) 3)) |
(+ (* -1 (pow (- 1 x) 3)) (* 3 (/ (pow (- 1 x) 3) y))) |
(+ (* -9 (/ (pow (- 1 x) 3) (pow y 2))) (+ (* -1 (pow (- 1 x) 3)) (+ (* 3 (/ (pow (- 1 x) 3) y)) (* 3 (/ (pow (- 1 x) 3) (pow y 2)))))) |
(+ (* -9 (/ (pow (- 1 x) 3) (pow y 2))) (+ (* -9 (/ (pow (- 1 x) 3) (pow y 3))) (+ (* -3 (/ (+ (* -9 (pow (- 1 x) 3)) (* 3 (pow (- 1 x) 3))) (pow y 3))) (+ (* -1 (pow (- 1 x) 3)) (+ (* 3 (/ (pow (- 1 x) 3) y)) (+ (* 3 (/ (pow (- 1 x) 3) (pow y 2))) (/ (pow (- 1 x) 3) (pow y 3)))))))) |
(* -1 (pow (- 1 x) 3)) |
(+ (* -1 (pow (- 1 x) 3)) (* 3 (/ (pow (- 1 x) 3) y))) |
(+ (* -1 (/ (+ (* -3 (pow (- 1 x) 3)) (* -1 (/ (+ (* -9 (pow (- 1 x) 3)) (* 3 (pow (- 1 x) 3))) y))) y)) (* -1 (pow (- 1 x) 3))) |
(+ (* -1 (/ (+ (* -3 (pow (- 1 x) 3)) (* -1 (/ (+ (* -9 (pow (- 1 x) 3)) (+ (* -1 (/ (+ (* -1 (pow (- 1 x) 3)) (+ (* 3 (+ (* -9 (pow (- 1 x) 3)) (* 3 (pow (- 1 x) 3)))) (* 9 (pow (- 1 x) 3)))) y)) (* 3 (pow (- 1 x) 3)))) y))) y)) (* -1 (pow (- 1 x) 3))) |
| Outputs |
|---|
(+ 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)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y))) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y))) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(+ 1 (+ (* -1 (/ y (+ 1 y))) (/ (* x y) (+ 1 y)))) |
(+.f64 #s(literal 1 binary64) (-.f64 (*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y))) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(*.f64 x (-.f64 (+.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) x)))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(*.f64 x (-.f64 (+.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) x)))) |
(* x (+ (* -1 (/ y (* x (+ 1 y)))) (+ (/ 1 x) (/ y (+ 1 y))))) |
(*.f64 x (-.f64 (+.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) x)) (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) x)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) x)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) x)) (-.f64 #s(literal 0 binary64) x)) |
(* -1 (* x (+ (* -1 (/ y (+ 1 y))) (* -1 (/ (+ 1 (* -1 (/ y (+ 1 y)))) x))))) |
(*.f64 (-.f64 (-.f64 #s(literal 0 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) x)) (-.f64 #s(literal 0 binary64) x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (* y (- 1 x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) x))) |
(+ 1 (* y (+ (* -1 (* y (- x 1))) (* -1 (- 1 x))))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 #s(literal -1 binary64) x)))) |
(+ 1 (* y (+ (* -1 (- 1 x)) (* y (+ (* -1 (* y (- 1 x))) (* -1 (- x 1))))))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 y (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal -1 binary64) x))))))) |
(+ 1 (* -1 (- 1 x))) |
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- x 1) y)))) |
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (* -1 (/ (- x 1) y))))) |
(+.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (+.f64 (/.f64 (+.f64 #s(literal -1 binary64) x) (*.f64 y y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(+ 1 (+ (* -1 (- 1 x)) (+ (* -1 (/ (- 1 x) (pow y 2))) (+ (* -1 (/ (- x 1) y)) (* -1 (/ (- x 1) (pow y 3))))))) |
(+.f64 #s(literal 1 binary64) (+.f64 (-.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y y))) (+.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 y y))) (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(+ 1 (* -1 (- 1 x))) |
(+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) |
(- (+ 1 (+ (* -1 (- 1 x)) (/ 1 y))) (/ x y)) |
(+.f64 #s(literal 1 binary64) (+.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y))) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (/.f64 (+.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)) |
(+ 1 (+ (* -1 (- 1 x)) (* -1 (/ (+ (* -1 (- 1 x)) (* -1 (/ (- (+ (* -1 (- 1 x)) (/ 1 y)) (/ x y)) y))) y)))) |
(-.f64 (+.f64 #s(literal 1 binary64) (+.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (+.f64 (+.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 #s(literal 1 binary64) x) y)) y)) y)) |
(/ 1 (+ 1 (* -1 (/ y (+ 1 y))))) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) |
(+ (* -1 (/ (* x y) (* (+ 1 y) (pow (+ 1 (* -1 (/ y (+ 1 y)))) 2)))) (/ 1 (+ 1 (* -1 (/ y (+ 1 y)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y))) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y))) (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 #s(literal 1 binary64) y)))))) |
(+ (* x (- (/ (* x (pow y 2)) (* (pow (+ 1 y) 2) (pow (+ 1 (* -1 (/ y (+ 1 y)))) 3))) (/ y (* (+ 1 y) (pow (+ 1 (* -1 (/ y (+ 1 y)))) 2))))) (/ 1 (+ 1 (* -1 (/ y (+ 1 y)))))) |
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(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal -6 binary64)) y)) y)) |
(+ (* -1 (/ (+ (* -3 (pow (- 1 x) 3)) (* -1 (/ (+ (* -9 (pow (- 1 x) 3)) (+ (* -1 (/ (+ (* -1 (pow (- 1 x) 3)) (+ (* 3 (+ (* -9 (pow (- 1 x) 3)) (* 3 (pow (- 1 x) 3)))) (* 9 (pow (- 1 x) 3)))) y)) (* 3 (pow (- 1 x) 3)))) y))) y)) (* -1 (pow (- 1 x) 3))) |
(-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) x))) (/.f64 (-.f64 (*.f64 #s(literal -3 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal -9 binary64)) (-.f64 (*.f64 #s(literal 3 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x)))) (/.f64 (+.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 #s(literal -1 binary64) x))) (+.f64 (*.f64 #s(literal 3 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal -6 binary64))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (-.f64 #s(literal 1 binary64) x) (-.f64 #s(literal 1 binary64) x))) #s(literal 9 binary64)))) y))) y)) y)) |
Compiled 134 018 to 5 469 computations (95.9% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 543 | 8 | 1 551 |
| Fresh | 6 | 3 | 9 |
| Picked | 4 | 1 | 5 |
| Done | 1 | 0 | 1 |
| Total | 1 554 | 12 | 1 566 |
| Status | Accuracy | Program |
|---|---|---|
| 39.0% | (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x)) y) | |
| 48.5% | (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) y) y)) | |
| 13.9% | (/.f64 x (/.f64 #s(literal 1 binary64) y)) | |
| ▶ | 52.1% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))) |
| ▶ | 14.1% | (/.f64 #s(literal 1 binary64) y) |
| ▶ | 37.5% | (-.f64 x (/.f64 x y)) |
| 41.4% | (-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) | |
| ▶ | 50.7% | (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
| 49.4% | (+.f64 x (/.f64 #s(literal 1 binary64) y)) | |
| 14.0% | (*.f64 y x) | |
| ▶ | 37.3% | x |
| ✓ | 39.5% | #s(literal 1 binary64) |
Compiled 169 to 113 computations (33.1% saved)
| 1× | egg-herbie |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 y (-.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (/.f64 x y) |
| ✓ | cost-diff | 0 | (-.f64 x (/.f64 x y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) |
| ✓ | cost-diff | 0 | (*.f64 y (-.f64 #s(literal 1 binary64) x)) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))) |
| 768× | accelerator-lowering-fma.f32 |
| 768× | accelerator-lowering-fma.f64 |
| 320× | *-lowering-*.f32 |
| 320× | *-lowering-*.f64 |
| 240× | +-lowering-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 61 |
| 1 | 24 | 61 |
| 2 | 55 | 61 |
| 3 | 155 | 61 |
| 4 | 329 | 61 |
| 5 | 559 | 61 |
| 6 | 806 | 61 |
| 7 | 992 | 61 |
| 8 | 1089 | 61 |
| 9 | 1113 | 61 |
| 10 | 1132 | 61 |
| 11 | 1139 | 61 |
| 12 | 1140 | 61 |
| 0 | 1140 | 58 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 1 (+ 1 (* y (- 1 x)))) |
1 |
(+ 1 (* y (- 1 x))) |
(* y (- 1 x)) |
y |
(- 1 x) |
x |
x |
(/ 1 y) |
1 |
y |
(- x (/ x y)) |
x |
(/ x y) |
y |
(- 1 (* y (- 1 x))) |
1 |
(* y (- 1 x)) |
y |
(- 1 x) |
x |
| Outputs |
|---|
(/ 1 (+ 1 (* y (- 1 x)))) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
y |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
x |
x |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(- x (/ x y)) |
(-.f64 x (/.f64 x y)) |
x |
(/ x y) |
(/.f64 x y) |
y |
(- 1 (* y (- 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64)))) |
1 |
#s(literal 1 binary64) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
y |
(- 1 x) |
(-.f64 #s(literal 1 binary64) x) |
x |
Found 10 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (*.f64 y (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 100.0% | (/.f64 x y) |
| ✓ | accuracy | 100.0% | (-.f64 x (/.f64 x y)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) x) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
| ✓ | accuracy | 100.0% | (*.f64 y (-.f64 #s(literal 1 binary64) x)) |
| ✓ | accuracy | 99.5% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))) |
| 22.0ms | 256× | 0 | valid |
Compiled 63 to 13 computations (79.4% saved)
ival-div: 5.0ms (43.6% of total)ival-sub: 4.0ms (34.9% of total)ival-mult: 2.0ms (17.4% of total)ival-add: 1.0ms (8.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#<alt (/ 1 (+ 1 (* y (- 1 x))))> |
#<alt (+ 1 (* y (- 1 x)))> |
#<alt (* y (- 1 x))> |
#<alt (- 1 x)> |
#<alt (/ 1 y)> |
#<alt (- x (/ x y))> |
#<alt (/ x y)> |
#<alt (- 1 (* y (- 1 x)))> |
| Outputs |
|---|
#<alt 1> |
#<alt (+ 1 (* y (- x 1)))> |
#<alt (+ 1 (* y (- (+ x (* -1 (* y (* (- 1 x) (- x 1))))) 1)))> |
#<alt (+ 1 (* y (- (+ x (* y (- (* y (* (pow (- 1 x) 2) (- x 1))) (* (- 1 x) (- x 1))))) 1)))> |
#<alt (/ 1 (* y (- 1 x)))> |
#<alt (/ (- (/ 1 (- 1 x)) (/ 1 (* y (pow (- 1 x) 2)))) y)> |
#<alt (/ (- (+ (/ 1 (* (pow y 2) (pow (- 1 x) 3))) (/ 1 (- 1 x))) (/ 1 (* y (pow (- 1 x) 2)))) y)> |
#<alt (/ (- (+ (/ 1 (* (pow y 2) (pow (- 1 x) 3))) (/ 1 (- 1 x))) (+ (/ 1 (* y (pow (- 1 x) 2))) (/ 1 (* (pow y 3) (pow (- 1 x) 4))))) y)> |
#<alt (/ 1 (* y (- 1 x)))> |
#<alt (* -1 (/ (- (/ 1 (* y (pow (- 1 x) 2))) (/ 1 (- 1 x))) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow (- 1 x) 3))) (/ 1 (pow (- 1 x) 2))) y)) (/ 1 (- 1 x))) y))> |
#<alt (* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow (- 1 x) 4))) (/ 1 (pow (- 1 x) 3))) y)) (/ 1 (pow (- 1 x) 2))) y)) (/ 1 (- 1 x))) y))> |
#<alt (/ 1 (+ 1 y))> |
#<alt (+ (/ 1 (+ 1 y)) (/ (* x y) (pow (+ 1 y) 2)))> |
#<alt (+ (* x (- (/ (* x (pow y 2)) (pow (+ 1 y) 3)) (* -1 (/ y (pow (+ 1 y) 2))))) (/ 1 (+ 1 y)))> |
#<alt (+ (* x (- (* x (- (/ (* x (pow y 3)) (pow (+ 1 y) 4)) (* -1 (/ (pow y 2) (pow (+ 1 y) 3))))) (* -1 (/ y (pow (+ 1 y) 2))))) (/ 1 (+ 1 y)))> |
#<alt (/ -1 (* x y))> |
#<alt (/ (- (* -1 (/ (+ (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) x)> |
#<alt (/ (- (* -1 (/ (* (+ 1 y) (+ (/ 1 y) (/ 1 (pow y 2)))) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2)))))) x)> |
#<alt (/ (- (* -1 (/ (* (pow (+ 1 y) 2) (+ (/ 1 y) (/ 1 (pow y 2)))) (* (pow x 3) (pow y 2)))) (+ (/ 1 y) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ (* (+ 1 y) (+ (/ 1 y) (/ 1 (pow y 2)))) (* (pow x 2) y)))))) x)> |
#<alt (/ -1 (* x y))> |
#<alt (* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ 1 y) (+ (/ 1 y) (/ 1 (pow y 2)))) (* x y))) (+ (/ 1 y) (/ 1 (pow y 2)))) x)) (/ 1 y)) x))> |
#<alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 y) 2) (+ (/ 1 y) (/ 1 (pow y 2)))) (* x (pow y 2))) (* -1 (/ (* (+ 1 y) (+ (/ 1 y) (/ 1 (pow y 2)))) y))) x)) (+ (/ 1 y) (/ 1 (pow y 2)))) x)) (/ 1 y)) x))> |
#<alt 1> |
#<alt (+ 1 (* y (- 1 x)))> |
#<alt (+ 1 (* y (- 1 x)))> |
#<alt (+ 1 (* y (- 1 x)))> |
#<alt (* y (- 1 x))> |
#<alt (* y (- (+ 1 (/ 1 y)) x))> |
#<alt (* y (- (+ 1 (/ 1 y)) x))> |
#<alt (* y (- (+ 1 (/ 1 y)) x))> |
#<alt (* y (- 1 x))> |
#<alt (* -1 (* y (- (* -1 (- 1 x)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (- 1 x)) (/ 1 y))))> |
#<alt (* -1 (* y (- (* -1 (- 1 x)) (/ 1 y))))> |
#<alt (+ 1 y)> |
#<alt (+ 1 (+ y (* -1 (* x y))))> |
#<alt (+ 1 (+ y (* -1 (* x y))))> |
#<alt (+ 1 (+ y (* -1 (* x y))))> |
#<alt (* -1 (* x y))> |
#<alt (* x (+ (* -1 y) (+ (/ 1 x) (/ y x))))> |
#<alt (* x (+ (* -1 y) (+ (/ 1 x) (/ y x))))> |
#<alt (* x (+ (* -1 y) (+ (/ 1 x) (/ y x))))> |
#<alt (* -1 (* x y))> |
#<alt (* -1 (* x (+ y (* -1 (/ (+ 1 y) x)))))> |
#<alt (* -1 (* x (+ y (* -1 (/ (+ 1 y) x)))))> |
#<alt (* -1 (* x (+ y (* -1 (/ (+ 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))> |
#<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 (+ 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 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 (* x (- 1 (/ 1 y)))> |
#<alt (* x (- 1 (/ 1 y)))> |
#<alt (* x (- 1 (/ 1 y)))> |
#<alt (* x (- 1 (/ 1 y)))> |
#<alt (* x (- 1 (/ 1 y)))> |
#<alt (* x (- 1 (/ 1 y)))> |
#<alt (* x (- 1 (/ 1 y)))> |
#<alt (* x (- 1 (/ 1 y)))> |
#<alt (* -1 (* x (- (/ 1 y) 1)))> |
#<alt (* -1 (* x (- (/ 1 y) 1)))> |
#<alt (* -1 (* x (- (/ 1 y) 1)))> |
#<alt (* -1 (* x (- (/ 1 y) 1)))> |
#<alt (* -1 (/ x y))> |
#<alt (/ (- (* x y) x) y)> |
#<alt (/ (- (* x y) x) y)> |
#<alt (/ (- (* x y) x) y)> |
#<alt x> |
#<alt (+ x (* -1 (/ x y)))> |
#<alt (+ x (* -1 (/ x y)))> |
#<alt (+ x (* -1 (/ x y)))> |
#<alt x> |
#<alt (+ x (* -1 (/ x y)))> |
#<alt (+ x (* -1 (/ x y)))> |
#<alt (+ x (* -1 (/ 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 (/ x 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 (* -1 (* y (- 1 x)))> |
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))> |
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))> |
#<alt (* y (+ (* -1 (- 1 x)) (/ 1 y)))> |
#<alt (- 1 y)> |
#<alt (- (+ 1 (* x y)) y)> |
#<alt (- (+ 1 (* x y)) y)> |
#<alt (- (+ 1 (* x y)) y)> |
#<alt (* x y)> |
#<alt (* x (- (/ 1 x) (+ (* -1 y) (/ y x))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 y) (/ y x))))> |
#<alt (* x (- (/ 1 x) (+ (* -1 y) (/ y x))))> |
#<alt (* x y)> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))> |
#<alt (* -1 (* x (- (* -1 (/ (- 1 y) x)) y)))> |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | inf | (/ 1 (+ 1 (* y (- 1 x)))) |
| 0.0ms | y | @ | inf | (/ 1 (+ 1 (* y (- 1 x)))) |
| 0.0ms | x | @ | -inf | (/ 1 (+ 1 (* y (- 1 x)))) |
| 0.0ms | x | @ | 0 | (/ 1 (+ 1 (* y (- 1 x)))) |
| 0.0ms | x | @ | inf | (- x (/ x y)) |
| 1× | batch-egg-rewrite |
| 6 006× | accelerator-lowering-fma.f32 |
| 6 006× | accelerator-lowering-fma.f64 |
| 3 798× | *-lowering-*.f32 |
| 3 798× | *-lowering-*.f64 |
| 3 268× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 11 | 42 |
| 1 | 78 | 42 |
| 2 | 640 | 42 |
| 3 | 6912 | 42 |
| 0 | 8724 | 39 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 (* y (- 1 x)))) |
(+ 1 (* y (- 1 x))) |
(* y (- 1 x)) |
(- 1 x) |
(/ 1 y) |
(- x (/ x y)) |
(/ x y) |
(- 1 (* y (- 1 x))) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 x #s(literal -1 binary64)))))) (*.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 x #s(literal -1 binary64)))))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 x #s(literal -1 binary64)))))) #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 x #s(literal -1 binary64)))))) (*.f64 y (+.f64 x #s(literal -1 binary64))))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 x #s(literal -1 binary64)))))) (*.f64 y (+.f64 x #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 x #s(literal -1 binary64)))))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))))))) |
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(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 x #s(literal -1 binary64)))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (+.f64 x #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 y (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))))) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))))) (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))))) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 y (+.f64 x #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))))))))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))))) (+.f64 #s(literal -1 binary64) (neg.f64 (*.f64 y (+.f64 x #s(literal -1 binary64)))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 x #s(literal -1 binary64))))) (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (*.f64 y (+.f64 x #s(literal -1 binary64)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))))) |
(*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (+.f64 x #s(literal -1 binary64))))) (+.f64 (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) #s(literal -1 binary64))) (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))) (+.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x)))))) (-.f64 #s(literal 0 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))))) |
| 1× | egg-herbie |
| 10 646× | accelerator-lowering-fma.f32 |
| 10 646× | accelerator-lowering-fma.f64 |
| 3 970× | *-lowering-*.f32 |
| 3 970× | *-lowering-*.f64 |
| 2 750× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 208 | 1297 |
| 1 | 628 | 1278 |
| 2 | 1922 | 1175 |
| 3 | 7217 | 1173 |
| 0 | 8415 | 1125 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* y (- x 1))) |
(+ 1 (* y (- (+ x (* -1 (* y (* (- 1 x) (- x 1))))) 1))) |
(+ 1 (* y (- (+ x (* y (- (* y (* (pow (- 1 x) 2) (- x 1))) (* (- 1 x) (- x 1))))) 1))) |
(/ 1 (* y (- 1 x))) |
(/ (- (/ 1 (- 1 x)) (/ 1 (* y (pow (- 1 x) 2)))) y) |
(/ (- (+ (/ 1 (* (pow y 2) (pow (- 1 x) 3))) (/ 1 (- 1 x))) (/ 1 (* y (pow (- 1 x) 2)))) y) |
(/ (- (+ (/ 1 (* (pow y 2) (pow (- 1 x) 3))) (/ 1 (- 1 x))) (+ (/ 1 (* y (pow (- 1 x) 2))) (/ 1 (* (pow y 3) (pow (- 1 x) 4))))) y) |
(/ 1 (* y (- 1 x))) |
(* -1 (/ (- (/ 1 (* y (pow (- 1 x) 2))) (/ 1 (- 1 x))) y)) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow (- 1 x) 3))) (/ 1 (pow (- 1 x) 2))) y)) (/ 1 (- 1 x))) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow (- 1 x) 4))) (/ 1 (pow (- 1 x) 3))) y)) (/ 1 (pow (- 1 x) 2))) y)) (/ 1 (- 1 x))) y)) |
(/ 1 (+ 1 y)) |
(+ (/ 1 (+ 1 y)) (/ (* x y) (pow (+ 1 y) 2))) |
(+ (* x (- (/ (* x (pow y 2)) (pow (+ 1 y) 3)) (* -1 (/ y (pow (+ 1 y) 2))))) (/ 1 (+ 1 y))) |
(+ (* x (- (* x (- (/ (* x (pow y 3)) (pow (+ 1 y) 4)) (* -1 (/ (pow y 2) (pow (+ 1 y) 3))))) (* -1 (/ y (pow (+ 1 y) 2))))) (/ 1 (+ 1 y))) |
(/ -1 (* x y)) |
(/ (- (* -1 (/ (+ (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) x) |
(/ (- (* -1 (/ (* (+ 1 y) (+ (/ 1 y) (/ 1 (pow y 2)))) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2)))))) x) |
(/ (- (* -1 (/ (* (pow (+ 1 y) 2) (+ (/ 1 y) (/ 1 (pow y 2)))) (* (pow x 3) (pow y 2)))) (+ (/ 1 y) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ (* (+ 1 y) (+ (/ 1 y) (/ 1 (pow y 2)))) (* (pow x 2) y)))))) x) |
(/ -1 (* x y)) |
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ 1 y) (+ (/ 1 y) (/ 1 (pow y 2)))) (* x y))) (+ (/ 1 y) (/ 1 (pow y 2)))) x)) (/ 1 y)) x)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 y) 2) (+ (/ 1 y) (/ 1 (pow y 2)))) (* x (pow y 2))) (* -1 (/ (* (+ 1 y) (+ (/ 1 y) (/ 1 (pow y 2)))) y))) x)) (+ (/ 1 y) (/ 1 (pow y 2)))) x)) (/ 1 y)) x)) |
1 |
(+ 1 (* y (- 1 x))) |
(+ 1 (* y (- 1 x))) |
(+ 1 (* y (- 1 x))) |
(* y (- 1 x)) |
(* y (- (+ 1 (/ 1 y)) x)) |
(* y (- (+ 1 (/ 1 y)) x)) |
(* y (- (+ 1 (/ 1 y)) x)) |
(* y (- 1 x)) |
(* -1 (* y (- (* -1 (- 1 x)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (- 1 x)) (/ 1 y)))) |
(* -1 (* y (- (* -1 (- 1 x)) (/ 1 y)))) |
(+ 1 y) |
(+ 1 (+ y (* -1 (* x y)))) |
(+ 1 (+ y (* -1 (* x y)))) |
(+ 1 (+ y (* -1 (* x y)))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (+ (/ 1 x) (/ y x)))) |
(* x (+ (* -1 y) (+ (/ 1 x) (/ y x)))) |
(* x (+ (* -1 y) (+ (/ 1 x) (/ y x)))) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -1 (/ (+ 1 y) x))))) |
(* -1 (* x (+ y (* -1 (/ (+ 1 y) x))))) |
(* -1 (* x (+ y (* -1 (/ (+ 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)) |
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 |
(+ 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 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (/ x y)) |
(/ (- (* x y) x) y) |
(/ (- (* x y) x) y) |
(/ (- (* x y) x) y) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ x y))) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ 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) |
(/ x 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)) |
(* -1 (* y (- 1 x))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(- 1 y) |
(- (+ 1 (* x y)) y) |
(- (+ 1 (* x y)) y) |
(- (+ 1 (* x y)) y) |
(* x y) |
(* x (- (/ 1 x) (+ (* -1 y) (/ y x)))) |
(* x (- (/ 1 x) (+ (* -1 y) (/ y x)))) |
(* x (- (/ 1 x) (+ (* -1 y) (/ y x)))) |
(* x y) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(+ 1 (* y (- (+ x (* -1 (* y (* (- 1 x) (- x 1))))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64))))) |
(+ 1 (* y (- (+ x (* y (- (* y (* (pow (- 1 x) 2) (- x 1))) (* (- 1 x) (- x 1))))) 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x (+.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (+.f64 x #s(literal -1 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) x) (+.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) #s(literal -1 binary64)))))))) |
(/ 1 (* y (- 1 x))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(/ (- (/ 1 (- 1 x)) (/ 1 (* y (pow (- 1 x) 2)))) y) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64)))) y) |
(/ (- (+ (/ 1 (* (pow y 2) (pow (- 1 x) 3))) (/ 1 (- 1 x))) (/ 1 (* y (pow (- 1 x) 2)))) y) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))) y)) y) |
(/ (- (+ (/ 1 (* (pow y 2) (pow (- 1 x) 3))) (/ 1 (- 1 x))) (+ (/ 1 (* y (pow (- 1 x) 2))) (/ 1 (* (pow y 3) (pow (- 1 x) 4))))) y) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64)))) (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) x)))) (*.f64 y y))) y) |
(/ 1 (* y (- 1 x))) |
(/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* -1 (/ (- (/ 1 (* y (pow (- 1 x) 2))) (/ 1 (- 1 x))) y)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (+.f64 x #s(literal -1 binary64)))) y) |
(* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow (- 1 x) 3))) (/ 1 (pow (- 1 x) 2))) y)) (/ 1 (- 1 x))) y)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (/.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (-.f64 #s(literal 1 binary64) x)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))) y)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* y (pow (- 1 x) 4))) (/ 1 (pow (- 1 x) 3))) y)) (/ 1 (pow (- 1 x) 2))) y)) (/ 1 (- 1 x))) y)) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (*.f64 (+.f64 x #s(literal -1 binary64)) (+.f64 x #s(literal -1 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) y) (pow.f64 (-.f64 #s(literal 1 binary64) x) #s(literal 4 binary64)))) y) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) (+.f64 x #s(literal -1 binary64)))) y)) y) |
(/ 1 (+ 1 y)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
(+ (/ 1 (+ 1 y)) (/ (* x y) (pow (+ 1 y) 2))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y x) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) |
(+ (* x (- (/ (* x (pow y 2)) (pow (+ 1 y) 3)) (* -1 (/ y (pow (+ 1 y) 2))))) (/ 1 (+ 1 y))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 x (+.f64 (/.f64 (*.f64 y (*.f64 y x)) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))) (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))) |
(+ (* x (- (* x (- (/ (* x (pow y 3)) (pow (+ 1 y) 4)) (* -1 (/ (pow y 2) (pow (+ 1 y) 3))))) (* -1 (/ y (pow (+ 1 y) 2))))) (/ 1 (+ 1 y))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 x (+.f64 (/.f64 y (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.f64 x (+.f64 (/.f64 (*.f64 y (*.f64 y (*.f64 y x))) (pow.f64 (+.f64 #s(literal 1 binary64) y) #s(literal 4 binary64))) (/.f64 (*.f64 y y) (*.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))))))) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ (- (* -1 (/ (+ (/ 1 y) (/ 1 (pow y 2))) x)) (/ 1 y)) x) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) x)) x) |
(/ (- (* -1 (/ (* (+ 1 y) (+ (/ 1 y) (/ 1 (pow y 2)))) (* (pow x 2) y))) (+ (/ 1 y) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2)))))) x) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) x) (/.f64 #s(literal -1 binary64) y)) x) |
(/ (- (* -1 (/ (* (pow (+ 1 y) 2) (+ (/ 1 y) (/ 1 (pow y 2)))) (* (pow x 3) (pow y 2)))) (+ (/ 1 y) (+ (/ 1 (* x y)) (+ (/ 1 (* x (pow y 2))) (/ (* (+ 1 y) (+ (/ 1 y) (/ 1 (pow y 2)))) (* (pow x 2) y)))))) x) |
(/.f64 (+.f64 (-.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) (*.f64 x (-.f64 #s(literal 0 binary64) x))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) x))) (/.f64 #s(literal -1 binary64) y)) x) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(* -1 (/ (+ (/ 1 y) (+ (/ 1 (* x y)) (/ 1 (* x (pow y 2))))) x)) |
(/.f64 (+.f64 (/.f64 #s(literal -1 binary64) y) (+.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) (/.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y x))))) x) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (+ 1 y) (+ (/ 1 y) (/ 1 (pow y 2)))) (* x y))) (+ (/ 1 y) (/ 1 (pow y 2)))) x)) (/ 1 y)) x)) |
(/.f64 (+.f64 (/.f64 (-.f64 (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) (+.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y))) x) (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) x) (/.f64 #s(literal -1 binary64) y)) x) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* (pow (+ 1 y) 2) (+ (/ 1 y) (/ 1 (pow y 2)))) (* x (pow y 2))) (* -1 (/ (* (+ 1 y) (+ (/ 1 y) (/ 1 (pow y 2)))) y))) x)) (+ (/ 1 y) (/ 1 (pow y 2)))) x)) (/ 1 y)) x)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (+.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) (/.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) y) (+.f64 (/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) x) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)))) x)) x)) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(+ 1 (* y (- 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(+ 1 (* y (- 1 x))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- (+ 1 (/ 1 y)) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* y (- (+ 1 (/ 1 y)) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* y (- (+ 1 (/ 1 y)) x)) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* y (- (* -1 (- 1 x)) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* -1 (* y (- (* -1 (- 1 x)) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* -1 (* y (- (* -1 (- 1 x)) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 (+ y (* -1 (* x y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(+ 1 (+ y (* -1 (* x y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(+ 1 (+ y (* -1 (* x y)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* -1 (* x y)) |
(-.f64 #s(literal 0 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (+ (/ 1 x) (/ y x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* x (+ (* -1 y) (+ (/ 1 x) (/ y x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* x (+ (* -1 y) (+ (/ 1 x) (/ y x)))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* -1 (* x y)) |
(-.f64 #s(literal 0 binary64) (*.f64 y x)) |
(* -1 (* x (+ y (* -1 (/ (+ 1 y) x))))) |
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) (*.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(* -1 (* x (+ y (* -1 (/ (+ 1 y) x))))) |
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) (*.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(* -1 (* x (+ y (* -1 (/ (+ 1 y) x))))) |
(-.f64 (-.f64 #s(literal 0 binary64) (*.f64 y x)) (*.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* y (- 1 x)) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
y |
(+ y (* -1 (* x y))) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(+ y (* -1 (* x y))) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(+ y (* -1 (* x y))) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x y)) |
(-.f64 #s(literal 0 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* x (+ (* -1 y) (/ y x))) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x y)) |
(-.f64 #s(literal 0 binary64) (*.f64 y x)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (+ y (* -1 (/ y x))))) |
(*.f64 y (-.f64 #s(literal 1 binary64) x)) |
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 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) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) 1))) |
(-.f64 x (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) 1))) |
(-.f64 x (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) 1))) |
(-.f64 x (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) 1))) |
(-.f64 x (/.f64 x y)) |
(* -1 (/ x y)) |
(/.f64 x (-.f64 #s(literal 0 binary64) y)) |
(/ (- (* x y) x) y) |
(-.f64 x (/.f64 x y)) |
(/ (- (* x y) x) y) |
(-.f64 x (/.f64 x y)) |
(/ (- (* x y) x) y) |
(-.f64 x (/.f64 x y)) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* y (- x 1))) |
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(+ 1 (* y (- x 1))) |
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(+ 1 (* y (- x 1))) |
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* y (- x 1)) |
(*.f64 y (+.f64 x #s(literal -1 binary64))) |
(* y (- (+ x (/ 1 y)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* y (- (+ x (/ 1 y)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* y (- (+ x (/ 1 y)) 1)) |
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* -1 (* y (- 1 x))) |
(*.f64 y (+.f64 x #s(literal -1 binary64))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* y (+ (* -1 (- 1 x)) (/ 1 y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
(- (+ 1 (* x y)) y) |
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(- (+ 1 (* x y)) y) |
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(- (+ 1 (* x y)) y) |
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* x y) |
(*.f64 y x) |
(* x (- (/ 1 x) (+ (* -1 y) (/ y x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* x (- (/ 1 x) (+ (* -1 y) (/ y x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* x (- (/ 1 x) (+ (* -1 y) (/ y x)))) |
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* x y) |
(*.f64 y x) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(* -1 (* x (- (* -1 (/ (- 1 y) x)) y))) |
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
Compiled 25 580 to 1 862 computations (92.7% saved)
12 alts after pruning (7 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 922 | 2 | 924 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 924 | 12 | 936 |
| Status | Accuracy | Program |
|---|---|---|
| 39.0% | (/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x)) y) | |
| 48.5% | (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) y) y)) | |
| ▶ | 13.9% | (/.f64 x (/.f64 #s(literal 1 binary64) y)) |
| ▶ | 52.1% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
| ✓ | 14.1% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | 37.5% | (-.f64 x (/.f64 x y)) |
| ✓ | 50.7% | (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
| ▶ | 39.1% | (-.f64 #s(literal 1 binary64) y) |
| ▶ | 49.4% | (+.f64 x (/.f64 #s(literal 1 binary64) y)) |
| ▶ | 14.0% | (*.f64 y x) |
| ✓ | 37.3% | x |
| ✓ | 39.5% | #s(literal 1 binary64) |
Compiled 129 to 89 computations (31% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 128 | (/.f64 x (/.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (+.f64 x (/.f64 #s(literal 1 binary64) y)) |
| ✓ | cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (*.f64 y x) |
| ✓ | cost-diff | 0 | (+.f64 #s(literal 1 binary64) y) |
| ✓ | cost-diff | 0 | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
| 40× | +-lowering-+.f64 |
| 40× | +-lowering-+.f32 |
| 22× | --lowering--.f32 |
| 22× | --lowering--.f64 |
| 20× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 40 |
| 1 | 19 | 40 |
| 2 | 24 | 40 |
| 3 | 36 | 40 |
| 4 | 42 | 40 |
| 5 | 52 | 40 |
| 6 | 68 | 40 |
| 7 | 87 | 40 |
| 8 | 93 | 40 |
| 0 | 93 | 40 |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/ 1 (+ 1 y)) |
1 |
(+ 1 y) |
y |
(* y x) |
y |
x |
(- 1 y) |
1 |
y |
(+ x (/ 1 y)) |
x |
(/ 1 y) |
1 |
y |
(/ x (/ 1 y)) |
x |
(/ 1 y) |
1 |
y |
| Outputs |
|---|
(/ 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) |
y |
(* y x) |
(*.f64 y x) |
y |
x |
(- 1 y) |
(-.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(+ x (/ 1 y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
x |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
(/ x (/ 1 y)) |
(*.f64 y x) |
x |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
1 |
#s(literal 1 binary64) |
y |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 99.7% | (/.f64 x (/.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (+.f64 x (/.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 100.0% | (-.f64 #s(literal 1 binary64) y) |
| ✓ | accuracy | 100.0% | (*.f64 y x) |
| ✓ | accuracy | 100.0% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
| ✓ | accuracy | 100.0% | (+.f64 #s(literal 1 binary64) y) |
| 46.0ms | 256× | 0 | valid |
Compiled 44 to 12 computations (72.7% saved)
ival-div: 30.0ms (83.8% of total)ival-add: 3.0ms (8.4% of total)ival-mult: 2.0ms (5.6% of total)ival-sub: 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)| Inputs |
|---|
#<alt (/ 1 (+ 1 y))> |
#<alt (+ 1 y)> |
#<alt (* y x)> |
#<alt (- 1 y)> |
#<alt (+ x (/ 1 y))> |
#<alt (/ 1 y)> |
#<alt (/ x (/ 1 y))> |
| Outputs |
|---|
#<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 (+ 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 (* 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> |
#<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 (/ 1 y)> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt x> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt (* x (+ 1 (/ 1 (* x y))))> |
#<alt (/ 1 y)> |
#<alt (/ (+ 1 (* x y)) y)> |
#<alt (/ (+ 1 (* x y)) y)> |
#<alt (/ (+ 1 (* x y)) y)> |
#<alt x> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt x> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 1 y))> |
#<alt (+ x (/ 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 (* 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)> |
30 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (* y x) |
| 0.0ms | y | @ | -inf | (* y x) |
| 0.0ms | x | @ | -inf | (* y x) |
| 0.0ms | y | @ | 0 | (/ 1 (+ 1 y)) |
| 0.0ms | y | @ | inf | (/ 1 (+ 1 y)) |
| 1× | batch-egg-rewrite |
| 2 958× | accelerator-lowering-fma.f32 |
| 2 958× | accelerator-lowering-fma.f64 |
| 2 644× | *-lowering-*.f32 |
| 2 644× | *-lowering-*.f64 |
| 1 656× | /-lowering-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 25 |
| 1 | 68 | 25 |
| 2 | 477 | 25 |
| 3 | 4702 | 25 |
| 0 | 9572 | 24 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ 1 (+ 1 y)) |
(+ 1 y) |
(* y x) |
(- 1 y) |
(+ x (/ 1 y)) |
(/ 1 y) |
(/ x (/ 1 y)) |
| Outputs |
|---|
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (*.f64 (*.f64 y (+.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y y))) (*.f64 y (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y y))))) |
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(*.f64 (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)) (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y)))) |
(*.f64 (+.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (*.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) y))))) |
(*.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (neg.f64 (*.f64 x (*.f64 x x)))) (/.f64 #s(literal 1 binary64) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y) (neg.f64 (*.f64 x x))))) |
(*.f64 (+.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) y))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) y))) (+.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (-.f64 (/.f64 #s(literal 1 binary64) y) x))) |
(*.f64 (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (/.f64 (+.f64 x (/.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal 1 binary64) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))))) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (+.f64 x (/.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (neg.f64 (*.f64 x (*.f64 x x))))) (+.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y) (neg.f64 (*.f64 x x)))) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 (neg.f64 (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) (-.f64 #s(literal 0 binary64) (+.f64 x (/.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 (+.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 x x))) (-.f64 (/.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 (*.f64 x (*.f64 x x)) (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y y))))))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y) (-.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y) (*.f64 x x))))) |
(*.f64 (/.f64 (+.f64 (*.f64 x (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 (*.f64 x (*.f64 x (*.f64 x x))) (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (+.f64 (*.f64 x x) (/.f64 #s(literal 1 binary64) (*.f64 y y)))))) (+.f64 (*.f64 x x) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) x) y))) |
(+.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) |
(exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(exp.f64 (*.f64 (*.f64 (log.f64 y) #s(literal 2 binary64)) #s(literal -1/2 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) |
(neg.f64 (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y))))) |
(/.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) y) |
(pow.f64 y #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 1/2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (exp.f64 #s(literal -1 binary64)) (log.f64 y)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (/.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (neg.f64 (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (*.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (exp.f64 (log.f64 #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (*.f64 y x)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) y)) (*.f64 y x)) |
(neg.f64 (*.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(/.f64 y (/.f64 #s(literal 1 binary64) x)) |
(/.f64 y (*.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(/.f64 y (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) x))) |
(/.f64 x (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(/.f64 (-.f64 #s(literal 0 binary64) x) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (*.f64 y x) #s(literal 1 binary64)) |
(/.f64 (*.f64 y x) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(/.f64 (/.f64 (-.f64 #s(literal 0 binary64) x) (pow.f64 y #s(literal -1/2 binary64))) (pow.f64 y #s(literal -1/2 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 y x) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 y x))) #s(literal -1/2 binary64)) |
(pow.f64 (exp.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 y (-.f64 #s(literal 0 binary64) x)) |
(*.f64 x y) |
(*.f64 #s(literal -1 binary64) (*.f64 y x)) |
(*.f64 (-.f64 #s(literal 0 binary64) x) y) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 0 binary64) x)) y) |
(*.f64 (/.f64 #s(literal -1 binary64) (pow.f64 y #s(literal -1/2 binary64))) (/.f64 x (pow.f64 y #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 x (pow.f64 y #s(literal -1/2 binary64))) (sqrt.f64 y)) |
(*.f64 (pow.f64 (*.f64 y x) #s(literal 1/2 binary64)) (pow.f64 (*.f64 y x) #s(literal 1/2 binary64))) |
| 1× | egg-herbie |
| 12 882× | accelerator-lowering-fma.f32 |
| 12 882× | accelerator-lowering-fma.f64 |
| 3 280× | *-lowering-*.f32 |
| 3 280× | *-lowering-*.f64 |
| 1 312× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 465 |
| 1 | 135 | 446 |
| 2 | 276 | 442 |
| 3 | 784 | 440 |
| 4 | 2500 | 440 |
| 5 | 6048 | 440 |
| 0 | 8031 | 435 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
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 |
(+ 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))) |
(* 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 |
(+ 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)))) |
(/ 1 y) |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
x |
(* x (+ 1 (/ 1 (* x y)))) |
(* x (+ 1 (/ 1 (* x y)))) |
(* x (+ 1 (/ 1 (* x y)))) |
x |
(* x (+ 1 (/ 1 (* x y)))) |
(* x (+ 1 (/ 1 (* x y)))) |
(* x (+ 1 (/ 1 (* x y)))) |
(/ 1 y) |
(/ (+ 1 (* x y)) y) |
(/ (+ 1 (* x y)) y) |
(/ (+ 1 (* x y)) y) |
x |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
x |
(+ x (/ 1 y)) |
(+ x (/ 1 y)) |
(+ x (/ 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) |
(* 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) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* y (- y 1))) |
(+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 #s(literal -1 binary64) y))) |
(+ 1 (* y (- (* y (+ 1 (* -1 y))) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) (*.f64 y y))) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (- 1 (/ 1 y)) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) |
(/ (- (+ 1 (/ 1 (pow y 2))) (/ 1 y)) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y) |
(/ (- (+ 1 (/ 1 (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 3)))) y) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* -1 (/ (- (/ 1 y) 1) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) y) |
(* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) |
(/.f64 (+.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) y)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 y) 1) y)) 1) y)) 1) y)) |
(/.f64 (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) y) y))) y) |
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) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
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) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
x |
(* x (+ 1 (/ 1 (* x y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (/ 1 (* x y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (/ 1 (* x y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
x |
(* x (+ 1 (/ 1 (* x y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (/ 1 (* x y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(* x (+ 1 (/ 1 (* x y)))) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(/ (+ 1 (* x y)) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y) |
(/ (+ 1 (* x y)) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y) |
(/ (+ 1 (* x y)) y) |
(/.f64 (+.f64 #s(literal 1 binary64) (*.f64 y x)) y) |
x |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
x |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(+ x (/ 1 y)) |
(+.f64 (/.f64 #s(literal 1 binary64) y) x) |
(/ 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) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
Compiled 13 662 to 1 059 computations (92.2% saved)
12 alts after pruning (2 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 802 | 1 | 803 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 5 | 5 |
| Total | 803 | 12 | 815 |
| Status | Accuracy | Program |
|---|---|---|
| 38.9% | (/.f64 (-.f64 (*.f64 y x) #s(literal -1 binary64)) y) | |
| 48.5% | (/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) y) y)) | |
| ✓ | 13.9% | (/.f64 x (/.f64 #s(literal 1 binary64) y)) |
| ✓ | 52.1% | (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
| ✓ | 14.1% | (/.f64 #s(literal 1 binary64) y) |
| ✓ | 37.5% | (-.f64 x (/.f64 x y)) |
| ✓ | 50.7% | (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
| ✓ | 39.1% | (-.f64 #s(literal 1 binary64) y) |
| ✓ | 49.4% | (+.f64 x (/.f64 #s(literal 1 binary64) y)) |
| ✓ | 14.0% | (*.f64 y x) |
| ✓ | 37.3% | x |
| ✓ | 39.5% | #s(literal 1 binary64) |
Compiled 809 to 143 computations (82.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(*.f64 y x) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 x (/.f64 x y)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 x (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) y) y)) |
(/.f64 (-.f64 (*.f64 y x) #s(literal -1 binary64)) y) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))))) |
(+.f64 x (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) y)) |
(/.f64 (+.f64 #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 (-.f64 #s(literal -1 binary64) y) (*.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) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))) |
(*.f64 (/.f64 (+.f64 #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 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))) |
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (*.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 (+.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) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))))) (*.f64 (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) (*.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) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) (*.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) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))) (/.f64 (/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (*.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 y (*.f64 (-.f64 #s(literal 1 binary64) x) y)))) (*.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) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))))) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
5 calls:
| 24.0ms | (-.f64 #s(literal 1 binary64) x) |
| 8.0ms | x |
| 8.0ms | y |
| 7.0ms | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 7.0ms | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.6% | 7 | x |
| 99.9% | 3 | y |
| 99.6% | 4 | (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
| 99.6% | 4 | (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64))) |
| 84.3% | 5 | (-.f64 #s(literal 1 binary64) x) |
Compiled 35 to 23 computations (34.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(*.f64 y x) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 x (/.f64 x y)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 x (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) y) y)) |
(/.f64 (-.f64 (*.f64 y x) #s(literal -1 binary64)) y) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))))) |
(+.f64 x (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) y)) |
(/.f64 (+.f64 #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 (-.f64 #s(literal -1 binary64) y) (*.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) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))) |
(*.f64 (/.f64 (+.f64 #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 (-.f64 #s(literal -1 binary64) y) (*.f64 (+.f64 #s(literal 1 binary64) y) (+.f64 #s(literal 1 binary64) y))))) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y))))))) (+.f64 #s(literal 1 binary64) (*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y)) (+.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 #s(literal 1 binary64) y) y)))))) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
(+.f64 x (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) y)) |
1 calls:
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(*.f64 y x) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 x (/.f64 x y)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 x (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) y) y)) |
(/.f64 (-.f64 (*.f64 y x) #s(literal -1 binary64)) y) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x)) y) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 #s(literal -1 binary64) y))))) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
1 calls:
| 9.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(*.f64 y x) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 x (/.f64 x y)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 x (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(-.f64 #s(literal 1 binary64) (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/.f64 x (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) y))) |
(/.f64 x (/.f64 (+.f64 #s(literal 1 binary64) y) y)) |
(/.f64 (-.f64 (*.f64 y x) #s(literal -1 binary64)) y) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 y x) x)) y) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.5% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(*.f64 y x) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 x (/.f64 x y)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 x (/.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.8% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(*.f64 y x) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 x (/.f64 x y)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
(/.f64 x (/.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
1 calls:
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.3% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(*.f64 y x) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) y) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) x)) |
(-.f64 x (/.f64 x y)) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
(+.f64 x (/.f64 #s(literal 1 binary64) y)) |
1 calls:
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.4% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(*.f64 y x) |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
x |
(-.f64 #s(literal 1 binary64) y) |
x |
2 calls:
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.6% | 3 | x |
| 73.1% | 3 | y |
Compiled 6 to 4 computations (33.3% saved)
| Inputs |
|---|
#s(literal 1 binary64) |
x |
(*.f64 y x) |
| Outputs |
|---|
x |
#s(literal 1 binary64) |
x |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.0% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(literal 1 binary64) |
| Outputs |
|---|
#s(literal 1 binary64) |
2 calls:
| 1.0ms | x |
| 1.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.5% | 1 | x |
| 39.5% | 1 | y |
Compiled 6 to 4 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 18.0ms | 27236.6725503246 | 2503860031467.2207 |
| 16.0ms | -421544604.02496743 | -126.77105765056656 |
| 16.0ms | 140× | 1 | valid |
| 7.0ms | 148× | 0 | valid |
Compiled 538 to 355 computations (34% saved)
adjust: 4.0ms (25.1% of total)ival-sub: 4.0ms (25.1% of total)ival-div: 3.0ms (18.8% of total)ival-mult: 3.0ms (18.8% of total)ival-add: 2.0ms (12.6% 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 |
|---|---|---|
| 10.0ms | 1.6935227176877303 | 17891.695531100355 |
| 15.0ms | -421544604.02496743 | -126.77105765056656 |
| 11.0ms | 211× | 0 | valid |
| 6.0ms | 61× | 1 | valid |
Compiled 520 to 341 computations (34.4% saved)
ival-div: 3.0ms (27.9% of total)ival-sub: 3.0ms (27.9% of total)ival-mult: 2.0ms (18.6% of total)adjust: 1.0ms (9.3% of total)ival-add: 1.0ms (9.3% 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 | 27236.6725503246 | 2503860031467.2207 |
| 33.0ms | -421544604.02496743 | -126.77105765056656 |
| 31.0ms | 131× | 1 | valid |
| 7.0ms | 157× | 0 | valid |
Compiled 448 to 301 computations (32.8% saved)
adjust: 20.0ms (63.3% of total)ival-sub: 4.0ms (12.7% of total)ival-div: 3.0ms (9.5% of total)ival-add: 2.0ms (6.3% of total)ival-mult: 2.0ms (6.3% 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 |
|---|---|---|
| 12.0ms | 0.003423612221708855 | 1.6935227176877303 |
| 9.0ms | -126.77105765056656 | -0.700283886361865 |
| 13.0ms | 240× | 0 | valid |
Compiled 316 to 223 computations (29.4% saved)
ival-div: 2.0ms (30.9% of total)ival-sub: 2.0ms (30.9% of total)ival-add: 1.0ms (15.5% of total)ival-mult: 1.0ms (15.5% 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 |
|---|---|---|
| 54.0ms | 27236.6725503246 | 2503860031467.2207 |
| 10.0ms | -126.77105765056656 | -0.700283886361865 |
| 12.0ms | 248× | 0 | valid |
| 1.0ms | 8× | 1 | valid |
Compiled 304 to 221 computations (27.3% saved)
ival-div: 2.0ms (27.6% of total)ival-sub: 2.0ms (27.6% of total)ival-mult: 2.0ms (27.6% of total)ival-add: 1.0ms (13.8% of total)adjust: 0.0ms (0% 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 |
|---|---|---|
| 25.0ms | 27236.6725503246 | 2503860031467.2207 |
| 9.0ms | -126.77105765056656 | -0.700283886361865 |
| 10.0ms | 206× | 0 | valid |
| 5.0ms | 50× | 1 | valid |
Compiled 272 to 205 computations (24.6% saved)
ival-sub: 3.0ms (34.4% of total)ival-div: 2.0ms (22.9% of total)ival-mult: 2.0ms (22.9% of total)adjust: 1.0ms (11.5% of total)ival-add: 1.0ms (11.5% 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 |
|---|---|---|
| 15.0ms | 0.003423612221708855 | 1.6935227176877303 |
| 9.0ms | -126.77105765056656 | -0.700283886361865 |
| 12.0ms | 240× | 0 | valid |
Compiled 226 to 178 computations (21.2% saved)
ival-div: 2.0ms (30.8% of total)ival-sub: 2.0ms (30.8% of total)ival-add: 1.0ms (15.4% of total)ival-mult: 1.0ms (15.4% 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 |
|---|---|---|
| 10.0ms | 0.003423612221708855 | 1.6935227176877303 |
| 11.0ms | -126.77105765056656 | -0.700283886361865 |
| 14.0ms | 240× | 0 | valid |
Compiled 166 to 133 computations (19.9% saved)
ival-div: 2.0ms (30.4% of total)ival-sub: 2.0ms (30.4% of total)ival-add: 1.0ms (15.2% of total)ival-mult: 1.0ms (15.2% 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 | 27236.6725503246 | 2503860031467.2207 |
| 10.0ms | -126.77105765056656 | -0.700283886361865 |
| 13.0ms | 247× | 0 | valid |
| 1.0ms | 9× | 1 | valid |
Compiled 144 to 125 computations (13.2% saved)
ival-sub: 3.0ms (35.6% of total)ival-div: 2.0ms (23.7% of total)ival-add: 2.0ms (23.7% of total)ival-mult: 2.0ms (23.7% of total)adjust: 0.0ms (0% 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 |
| 120× | unsub-neg_binary64 |
| 64× | neg-mul-1_binary64 |
| 56× | +-commutative_binary64 |
| 38× | distribute-neg-out_binary64 |
| 36× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 72 | 209 |
| 1 | 120 | 209 |
| 2 | 140 | 209 |
| 3 | 158 | 209 |
| 4 | 183 | 209 |
| 5 | 216 | 209 |
| 6 | 231 | 209 |
| 7 | 266 | 209 |
| 8 | 313 | 209 |
| 9 | 326 | 209 |
| 10 | 341 | 209 |
| 11 | 353 | 209 |
| 12 | 362 | 209 |
| 13 | 369 | 209 |
| 14 | 370 | 209 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 y #s(literal -170000000 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 175000000 binary64)) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(if (<=.f64 y #s(literal -170000000 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 14000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (+.f64 x (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) y)))) |
(if (<=.f64 y #s(literal -155000000 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 210000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(if (<=.f64 y #s(literal -125 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 420000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(if (<=.f64 y #s(literal -125 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (if (<=.f64 y #s(literal 8500000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 x (/.f64 #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 8070450532247929/72057594037927936 binary64)) (-.f64 #s(literal 1 binary64) y) (+.f64 x (/.f64 #s(literal 1 binary64) y)))) |
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 3422735716801577/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) y) x)) |
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 28000 binary64)) #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(if (<=.f64 y #s(literal -170000000 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 175000000 binary64)) (fma.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(if (<=.f64 y #s(literal -170000000 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 175000000 binary64)) (fma.f64 (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (+.f64 (*.f64 y y) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(if (<=.f64 y #s(literal -170000000 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 14000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (+.f64 x (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (+.f64 x #s(literal -1 binary64)) y) (+.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)))) y)))) |
(if (<=.f64 y #s(literal -170000000 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 14000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y))) (+.f64 x (/.f64 (-.f64 (-.f64 #s(literal 1 binary64) x) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)))) y)))) |
(if (<=.f64 y #s(literal -155000000 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 210000000 binary64)) (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) x) y) (+.f64 y #s(literal 1 binary64)))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(if (<=.f64 y #s(literal -155000000 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 210000000 binary64)) (+.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal 1 binary64) x)) (-.f64 #s(literal -1 binary64) y))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 y (-.f64 #s(literal 1 binary64) x))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(if (<=.f64 y #s(literal -1 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (*.f64 y (+.f64 x #s(literal -1 binary64)))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(if (<=.f64 y #s(literal -125 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 420000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(if (<=.f64 y #s(literal -125 binary64)) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)) (if (<=.f64 y #s(literal 420000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x (/.f64 (-.f64 #s(literal 1 binary64) x) y)))) |
(if (<=.f64 y #s(literal -125 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (if (<=.f64 y #s(literal 8500000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y)) (+.f64 x (/.f64 #s(literal 1 binary64) y)))) |
(if (<=.f64 y #s(literal -125 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) y)) (if (<=.f64 y #s(literal 8500000 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (+.f64 x (/.f64 #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 8070450532247929/72057594037927936 binary64)) (-.f64 #s(literal 1 binary64) y) (+.f64 x (/.f64 #s(literal 1 binary64) y)))) |
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 3422735716801577/4503599627370496 binary64)) (-.f64 #s(literal 1 binary64) y) x)) |
(if (<=.f64 y #s(literal -1 binary64)) x (if (<=.f64 y #s(literal 28000 binary64)) #s(literal 1 binary64) x)) |
#s(literal 1 binary64) |
| 13 336× | accelerator-lowering-fma.f32 |
| 13 336× | accelerator-lowering-fma.f64 |
| 10 646× | accelerator-lowering-fma.f32 |
| 10 646× | accelerator-lowering-fma.f64 |
| 6 804× | accelerator-lowering-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 127 | 823 |
| 1 | 400 | 799 |
| 2 | 1127 | 684 |
| 3 | 4566 | 669 |
| 0 | 8319 | 648 |
| 0 | 1253 | 21169 |
| 1 | 4509 | 20414 |
| 0 | 8388 | 19924 |
| 0 | 208 | 1297 |
| 1 | 628 | 1278 |
| 2 | 1922 | 1175 |
| 3 | 7217 | 1173 |
| 0 | 8415 | 1125 |
| 0 | 8 | 31 |
| 1 | 58 | 31 |
| 2 | 528 | 31 |
| 0 | 8517 | 30 |
| 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 |
Compiled 393 to 179 computations (54.5% saved)
Compiled 590 to 194 computations (67.1% saved)
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