
Time bar (total: 4.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 529.0ms | 8 256× | 0 | valid |
ival-div: 153.0ms (47.6% of total)ival-mult: 105.0ms (32.7% of total)ival-add: 48.0ms (14.9% of total)ival-true: 6.0ms (1.9% of total)exact: 6.0ms (1.9% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 29 | 0 | - | 0 | - | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 0 | 0 | - | 0 | - | (+.f64 y #s(literal 1 binary64)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) | o/n | 29 | 0 |
| ↳ | (*.f64 x y) | overflow | 29 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 29 | 0 |
| - | 0 | 227 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 29 | 0 | 0 |
| - | 0 | 0 | 227 |
| number | freq |
|---|---|
| 0 | 227 |
| 1 | 29 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 26.0ms | 512× | 0 | valid |
Compiled 45 to 22 computations (51.1% saved)
ival-add: 7.0ms (49.7% of total)ival-mult: 4.0ms (28.4% of total)ival-div: 3.0ms (21.3% 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 |
| 486× | times-frac |
| 304× | unsub-neg |
| 238× | distribute-lft-in |
| 228× | distribute-lft-neg-in |
| 228× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 43 |
| 1 | 50 | 37 |
| 2 | 145 | 35 |
| 3 | 443 | 35 |
| 4 | 1190 | 35 |
| 5 | 1667 | 35 |
| 6 | 1882 | 35 |
| 7 | 1938 | 35 |
| 8 | 1966 | 35 |
| 9 | 1970 | 35 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 15 | 7 |
| 2 | 18 | 7 |
| 3 | 19 | 7 |
| 0 | 19 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(negabs x)
Compiled 9 to 6 computations (33.3% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 89.4% | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 12× | lower-*.f32 |
| 10× | lower-*.f64 |
| 6× | *-commutative |
| 6× | lower-/.f32 |
| 4× | associate-/l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 15 | 16 |
| 2 | 18 | 16 |
| 3 | 19 | 16 |
| 0 | 19 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(*.f64 x y) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
| Outputs |
|---|
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y #s(literal 1 binary64)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 6.791547149517449 | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 14.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-div: 2.0ms (39.8% of total)ival-mult: 2.0ms (39.8% of total)ival-add: 1.0ms (19.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ x (pow y 2))) (/ x y)) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ x y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ 1 y))) (taylor -inf y) (#s(alt (+.f64 y #s(literal 1 binary64)) (patch (+.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (patch (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((/ (* x y) (+ y 1)) (* x y) (+ y 1)) |
| 1.0ms | y | @ | -inf | ((/ (* x y) (+ y 1)) (* x y) (+ y 1)) |
| 1.0ms | x | @ | inf | ((/ (* x y) (+ y 1)) (* x y) (+ y 1)) |
| 1.0ms | y | @ | inf | ((/ (* x y) (+ y 1)) (* x y) (+ y 1)) |
| 1.0ms | x | @ | 0 | ((/ (* x y) (+ y 1)) (* x y) (+ y 1)) |
| 1× | egg-herbie |
| 9 976× | lower-fma.f64 |
| 9 976× | lower-fma.f32 |
| 2 536× | lower-*.f64 |
| 2 536× | lower-*.f32 |
| 1 658× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 299 |
| 1 | 135 | 290 |
| 2 | 274 | 282 |
| 3 | 1005 | 276 |
| 4 | 4069 | 276 |
| 5 | 5956 | 276 |
| 6 | 7080 | 276 |
| 7 | 7762 | 276 |
| 0 | 8009 | 274 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
x |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
(* 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 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
(+ 1 y) |
(+.f64 #s(literal 1 binary64) y) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
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 |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(-.f64 x (/.f64 (-.f64 x (/.f64 x y)) y)) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
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) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
| 5 518× | lower-/.f32 |
| 5 516× | lower-/.f64 |
| 3 256× | lower-*.f32 |
| 3 254× | lower-*.f64 |
| 2 620× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 35 | 13 |
| 2 | 203 | 13 |
| 3 | 1891 | 13 |
| 0 | 8396 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(*.f64 x y) |
(+.f64 y #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 x (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64))))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 y x))) |
(*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) (-.f64 y #s(literal 1 binary64))) |
(*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) x)) |
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) x)) |
(*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(*.f64 (neg.f64 x) (*.f64 y (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 (neg.f64 x) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 y) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (neg.f64 y) (*.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 #s(literal -1 binary64) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y)))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(*.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (*.f64 x (*.f64 y (-.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 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 y x)) |
(*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) |
(*.f64 (*.f64 (neg.f64 x) y) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) |
(*.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 y (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 y (*.f64 #s(literal 1 binary64) (/.f64 x (+.f64 #s(literal 1 binary64) y)))) |
(*.f64 y (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(*.f64 x (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y x)))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y x)) (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y x))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y x)) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (+.f64 #s(literal 1 binary64) y) (*.f64 y x)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(literal 1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (fma.f64 (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (*.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))) (*.f64 #s(literal 0 binary64) (*.f64 y (/.f64 x (-.f64 #s(literal -1 binary64) y))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (*.f64 y (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (-.f64 (*.f64 (*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))))) (*.f64 (*.f64 y (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))) (*.f64 #s(literal -1 binary64) (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) (-.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))))) (*.f64 (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) y) (*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) y) (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)) (*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64))) (*.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) y) (*.f64 (*.f64 x (/.f64 y (fma.f64 y y #s(literal -1 binary64)))) #s(literal -1 binary64)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 y y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)) (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 y y)) (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 y y))) (*.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 y y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 y y)) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 y y)) (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 y y)) (-.f64 (*.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y))) (*.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 y y)) (*.f64 (*.f64 x (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (neg.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y)) |
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(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (fma.f64 (neg.f64 y) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (fma.f64 (neg.f64 y) (*.f64 y y) #s(literal -1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (fma.f64 (neg.f64 y) (*.f64 y y) #s(literal -1 binary64)) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (-.f64 y #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (fma.f64 y 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) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) (-.f64 (*.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))))) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y #s(literal 1 binary64)) (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (neg.f64 (fma.f64 (neg.f64 y) (*.f64 y y) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal -1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (-.f64 (*.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 (*.f64 y y) (*.f64 y y) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) y)) y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (fma.f64 y y #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (fma.f64 (neg.f64 y) (*.f64 y y) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)) (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(neg.f64 (-.f64 #s(literal -1 binary64) y)) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 #s(literal 1 binary64) y) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 #s(literal 1 binary64) y #s(literal 1 binary64)) |
(fma.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 y #s(literal 1 binary64) #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))))) (fma.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))) (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) (fma.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)))) (fma.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))))) (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))) (fma.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))))))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) (-.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) (-.f64 y #s(literal 1 binary64)))) (/.f64 (*.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 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 y y #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 y y) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))))) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (/.f64 (fma.f64 y y #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) y)) (-.f64 #s(literal -1 binary64) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (-.f64 #s(literal -1 binary64) y)) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (neg.f64 (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (*.f64 y y) (neg.f64 (-.f64 #s(literal 1 binary64) y))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)))) (-.f64 y #s(literal 1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)))) (-.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal -1 binary64))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) #s(literal 1 binary64))) |
(-.f64 (/.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))) |
(-.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (/.f64 y #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log1p.f64 y) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64)) |
(+.f64 (*.f64 y (/.f64 y (-.f64 y #s(literal 1 binary64)))) (neg.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)))) |
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y))) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
Compiled 8 392 to 1 033 computations (87.7% saved)
6 alts after pruning (5 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 387 | 5 | 392 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 387 | 6 | 393 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 67.9% | (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) |
| ✓ | 89.4% | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ▶ | 87.0% | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
| ▶ | 48.0% | #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
| ▶ | 53.2% | #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
| ▶ | 54.1% | #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
Compiled 103 to 60 computations (41.7% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 y (-.f64 y #s(literal 1 binary64))) | |
| cost-diff | 0 | (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) | |
| cost-diff | 704 | (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (-.f64 x (/.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (-.f64 x (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 (-.f64 x (*.f64 y x)) y) | |
| cost-diff | 0 | #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) | |
| cost-diff | 0 | (+.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 x (+.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
| 13 982× | lower-fma.f32 |
| 13 980× | lower-fma.f64 |
| 2 776× | lower-*.f32 |
| 2 766× | lower-*.f64 |
| 2 352× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 124 |
| 0 | 37 | 119 |
| 1 | 64 | 119 |
| 2 | 130 | 119 |
| 3 | 318 | 119 |
| 4 | 584 | 119 |
| 5 | 2792 | 119 |
| 6 | 7220 | 119 |
| 0 | 8148 | 119 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
x |
(+.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(-.f64 x (*.f64 y x)) |
x |
(*.f64 y x) |
y |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
(-.f64 x (/.f64 x y)) |
x |
(/.f64 x y) |
y |
(/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) |
x |
(*.f64 y (-.f64 y #s(literal 1 binary64))) |
y |
(-.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 y y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
| Outputs |
|---|
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/.f64 x (-.f64 y #s(literal -1 binary64))) |
x |
(+.f64 #s(literal 1 binary64) y) |
(-.f64 y #s(literal -1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(-.f64 x (*.f64 y x)) |
x |
(*.f64 y x) |
y |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
(-.f64 x (/.f64 x y)) |
x |
(/.f64 x y) |
y |
(/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (/.f64 x (-.f64 y #s(literal -1 binary64))) y) |
(*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x) |
x |
(*.f64 y (-.f64 y #s(literal 1 binary64))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) y) |
y |
(-.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(fma.f64 y y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (*.f64 y (-.f64 y #s(literal 1 binary64))) | |
| accuracy | 4.488215591778646 | (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) | |
| accuracy | 19.60631353824552 | (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.015625 | (-.f64 x (/.f64 x y)) | |
| accuracy | 33.253405618108815 | #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) | |
| accuracy | 0 | (-.f64 x (*.f64 y x)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0.0546875 | (*.f64 (-.f64 x (*.f64 y x)) y) | |
| accuracy | 29.91830574088646 | #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 29.380719819385533 | #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) | |
| accuracy | 0 | (+.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.0078125 | (/.f64 x (+.f64 #s(literal 1 binary64) y)) | |
| accuracy | 8.309383063802539 | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
| 85.0ms | 256× | 0 | valid |
Compiled 110 to 23 computations (79.1% saved)
ival-mult: 10.0ms (42% of total)ival-div: 6.0ms (25.2% of total)ival-add: 4.0ms (16.8% of total)ival-sub: 3.0ms (12.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ()) |
#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ()) |
#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 y (-.f64 y #s(literal 1 binary64))) (patch (*.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* x y) x))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) (taylor 0 y) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (+.f64 #s(literal 1 binary64) y) (patch (+.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x y))) (taylor 0 y) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor 0 y) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x y) x) y) (taylor 0 y) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x y) x) y) (taylor 0 y) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* x y) x) y) (taylor 0 y) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* y (+ (* -1 x) (* x y))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* y (+ (* -1 x) (* y (- (* -1 (* x y)) (* -1 x))))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 x) (* x y))) (taylor 0 y) (#s(alt (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 x) (* x y))) (taylor 0 y) (#s(alt (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 x) (* x y))) (taylor 0 y) (#s(alt (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (*.f64 y (-.f64 y #s(literal 1 binary64))) (patch (*.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- y 1)) (taylor 0 y) (#s(alt (*.f64 y (-.f64 y #s(literal 1 binary64))) (patch (*.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- y 1)) (taylor 0 y) (#s(alt (*.f64 y (-.f64 y #s(literal 1 binary64))) (patch (*.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- y 1)) (taylor 0 y) (#s(alt (*.f64 y (-.f64 y #s(literal 1 binary64))) (patch (*.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf y) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ x (pow y 2))) (/ x y)) (taylor inf y) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) (taylor inf y) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- y 1))) (taylor inf x) (#s(alt (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- y 1))) (taylor inf x) (#s(alt (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- y 1))) (taylor inf x) (#s(alt (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- y 1))) (taylor inf x) (#s(alt (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) (patch (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (+ 1 y)) (taylor -inf x) (#s(alt (/.f64 x (+.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (+.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (+ 1 (* -1 y)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 x (*.f64 y x)) y) (patch (*.f64 (-.f64 x (*.f64 y x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 y))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 y))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 y))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 y))) (taylor -inf x) (#s(alt (-.f64 x (*.f64 y x)) (patch (-.f64 x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 y) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 y) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 y) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 y) 1))) (taylor -inf x) (#s(alt (-.f64 x (/.f64 x y)) (patch (-.f64 x (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- y 1))) (taylor -inf x) (#s(alt (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- y 1))) (taylor -inf x) (#s(alt (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- y 1))) (taylor -inf x) (#s(alt (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- y 1))) (taylor -inf x) (#s(alt (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (patch (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | x | @ | -inf | ((* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (/ (* x (* y (- y 1))) (+ (* y y) -1)) (* x (* y (- y 1))) (* y (- y 1)) (- y 1)) |
| 3.0ms | y | @ | -inf | ((* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (/ (* x (* y (- y 1))) (+ (* y y) -1)) (* x (* y (- y 1))) (* y (- y 1)) (- y 1)) |
| 3.0ms | x | @ | inf | ((* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (/ (* x (* y (- y 1))) (+ (* y y) -1)) (* x (* y (- y 1))) (* y (- y 1)) (- y 1)) |
| 3.0ms | x | @ | 0 | ((* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (/ (* x (* y (- y 1))) (+ (* y y) -1)) (* x (* y (- y 1))) (* y (- y 1)) (- y 1)) |
| 2.0ms | y | @ | inf | ((* (/ x (+ 1 y)) y) (/ x (+ 1 y)) (+ 1 y) (/ (* x y) (+ y 1)) (* y x) (/ (* x y) (+ y 1)) (* (- x (* y x)) y) (- x (* y x)) (/ (* x y) (+ y 1)) (- x (/ x y)) (/ x y) (/ (* x (* y (- y 1))) (+ (* y y) -1)) (* x (* y (- y 1))) (* y (- y 1)) (- y 1)) |
| 1× | egg-herbie |
| 14 884× | lower-fma.f64 |
| 14 884× | lower-fma.f32 |
| 3 114× | lower-*.f64 |
| 3 114× | lower-*.f32 |
| 2 136× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 115 | 2065 |
| 1 | 367 | 1845 |
| 2 | 814 | 1833 |
| 3 | 2757 | 1823 |
| 4 | 7492 | 1823 |
| 0 | 8035 | 1816 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
x |
(+ x (* -1 (* x y))) |
(+ x (* y (- (* x y) x))) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
x |
(+ x (* -1 (* x y))) |
(+ x (* -1 (* x y))) |
(+ x (* -1 (* x y))) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) 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) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (+ (* -1 x) (* x y))))) |
(* y (+ x (* y (+ (* -1 x) (* y (- (* -1 (* x y)) (* -1 x))))))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (* x y))) |
(* y (+ (* -1 x) (* x y))) |
(* y (+ (* -1 x) (* x y))) |
(* -1 y) |
(* y (- y 1)) |
(* y (- y 1)) |
(* y (- y 1)) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
x |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(/ x y) |
(/ (+ x (* -1 (/ x y))) y) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
x |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 (* x y)) |
(* y (- (/ x y) x)) |
(* y (- (/ x y) x)) |
(* y (- (/ x y) x)) |
x |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ x y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
x |
(+ x (* -1 (/ x y))) |
(+ x (+ (* -1 (/ x y)) (/ x (pow y 2)))) |
(- (+ x (+ (* -1 (/ x y)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2)))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1 (/ x y)))) |
(* (pow y 2) (+ x (* -1 (/ x y)))) |
(* (pow y 2) (+ x (* -1 (/ x y)))) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- 1 (/ 1 y))) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 (* x y)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ x y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) y))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (* -1 (/ x y)))) |
(* (pow y 2) (+ x (* -1 (/ x y)))) |
(* (pow y 2) (+ x (* -1 (/ x y)))) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- 1 (/ 1 y))) |
(* (pow y 2) (- 1 (/ 1 y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(* x (* y (- y 1))) |
(* x (* y (- y 1))) |
(* x (* y (- y 1))) |
(* x (* y (- y 1))) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(* x (* y (- y 1))) |
(* x (* y (- y 1))) |
(* x (* y (- y 1))) |
(* x (* y (- y 1))) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ x (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x (* y (+ 1 (* -1 y)))) |
(* x (* y (+ 1 (* -1 y)))) |
(* x (* y (+ 1 (* -1 y)))) |
(* x (* y (+ 1 (* -1 y)))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(* x (+ 1 (* -1 y))) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) 1))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(* x (* y (- y 1))) |
(* x (* y (- y 1))) |
(* x (* y (- y 1))) |
(* x (* y (- y 1))) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
x |
(+ x (* -1 (* x y))) |
(-.f64 x (*.f64 y x)) |
(+ x (* y (- (* x y) x))) |
(fma.f64 (-.f64 (*.f64 y x) x) y x) |
(+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 x (*.f64 y 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) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) 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) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
x |
(+ x (* -1 (* x y))) |
(-.f64 x (*.f64 y x)) |
(+ x (* -1 (* x y))) |
(-.f64 x (*.f64 y x)) |
(+ x (* -1 (* x y))) |
(-.f64 x (*.f64 y x)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) 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 y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* y (+ x (* y (+ (* -1 x) (* x y))))) |
(*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y) |
(* y (+ x (* y (+ (* -1 x) (* y (- (* -1 (* x y)) (* -1 x))))))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (+ (* -1 x) (* x y))) |
(*.f64 (-.f64 (*.f64 y x) x) y) |
(* y (+ (* -1 x) (* x y))) |
(*.f64 (-.f64 (*.f64 y x) x) y) |
(* y (+ (* -1 x) (* x y))) |
(*.f64 (-.f64 (*.f64 y x) x) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) y) |
(* y (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) y) |
(* y (- y 1)) |
(*.f64 (-.f64 y #s(literal 1 binary64)) y) |
-1 |
#s(literal -1 binary64) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
(- y 1) |
(-.f64 y #s(literal 1 binary64)) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(fma.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) y) x) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (+.f64 (/.f64 x (*.f64 y y)) x)) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (* -1 (/ x y))) y) |
(*.f64 (/.f64 x (*.f64 y y)) (-.f64 y #s(literal 1 binary64))) |
(/ (- (+ x (/ x (pow y 2))) (/ x y)) y) |
(/.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) y) x) y) |
(/ (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) y) |
(/.f64 (*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (+.f64 (/.f64 x (*.f64 y y)) x)) 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 |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(fma.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) y) x) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (+.f64 (/.f64 x (*.f64 y y)) x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(fma.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) y) x) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (+.f64 (/.f64 x (*.f64 y y)) x)) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* y (- (/ x y) x)) |
(-.f64 x (*.f64 y x)) |
(* y (- (/ x y) x)) |
(-.f64 x (*.f64 y x)) |
(* y (- (/ x y) x)) |
(-.f64 x (*.f64 y x)) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(fma.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) y) x) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (+.f64 (/.f64 x (*.f64 y y)) x)) |
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 |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (+ (* -1 (/ x y)) (/ x (pow y 2)))) |
(fma.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) y) x) |
(- (+ x (+ (* -1 (/ x y)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2)))) |
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (+.f64 (/.f64 x (*.f64 y y)) x)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (* -1 (/ x y)))) |
(*.f64 (-.f64 (*.f64 y x) x) y) |
(* (pow y 2) (+ x (* -1 (/ x y)))) |
(*.f64 (-.f64 (*.f64 y x) x) y) |
(* (pow y 2) (+ x (* -1 (/ x y)))) |
(*.f64 (-.f64 (*.f64 y x) x) y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) y) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) y) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) y) |
y |
(* y (- 1 (/ 1 y))) |
(-.f64 y #s(literal 1 binary64)) |
(* y (- 1 (/ 1 y))) |
(-.f64 y #s(literal 1 binary64)) |
(* y (- 1 (/ 1 y))) |
(-.f64 y #s(literal 1 binary64)) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(fma.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) y) x) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (+.f64 (/.f64 x (*.f64 y y)) x)) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (/ x y)) y)) |
(*.f64 (/.f64 x (*.f64 y y)) (-.f64 y #s(literal 1 binary64))) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ x y) x) y))) y)) |
(/.f64 (fma.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (/ x y) x) y)) x) y))) y)) |
(/.f64 (*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (+.f64 (/.f64 x (*.f64 y y)) x)) 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 |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(fma.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) y) x) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (+.f64 (/.f64 x (*.f64 y y)) x)) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(fma.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) y) x) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (+.f64 (/.f64 x (*.f64 y y)) x)) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
(-.f64 x (*.f64 y x)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
(-.f64 x (*.f64 y x)) |
(* -1 (* y (- (* -1 (/ x y)) (* -1 x)))) |
(-.f64 x (*.f64 y x)) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(fma.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) y) x) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (+.f64 (/.f64 x (*.f64 y y)) x)) |
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 |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(fma.f64 (/.f64 x (*.f64 y y)) (-.f64 #s(literal 1 binary64) y) x) |
(+ x (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) y))) |
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) y) (+.f64 (/.f64 x (*.f64 y y)) x)) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (* -1 (/ x y)))) |
(*.f64 (-.f64 (*.f64 y x) x) y) |
(* (pow y 2) (+ x (* -1 (/ x y)))) |
(*.f64 (-.f64 (*.f64 y x) x) y) |
(* (pow y 2) (+ x (* -1 (/ x y)))) |
(*.f64 (-.f64 (*.f64 y x) x) y) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) y) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) y) |
(* (pow y 2) (- 1 (/ 1 y))) |
(*.f64 (-.f64 y #s(literal 1 binary64)) y) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(-.f64 y #s(literal 1 binary64)) |
(* -1 (* y (- (/ 1 y) 1))) |
(-.f64 y #s(literal 1 binary64)) |
(* -1 (* y (- (/ 1 y) 1))) |
(-.f64 y #s(literal 1 binary64)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(* x (* y (- 1 y))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* x (* y (- 1 y))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* x (* y (- 1 y))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* x (* y (- 1 y))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* x (- 1 y)) |
(-.f64 x (*.f64 y x)) |
(* x (- 1 y)) |
(-.f64 x (*.f64 y x)) |
(* x (- 1 y)) |
(-.f64 x (*.f64 y x)) |
(* x (- 1 y)) |
(-.f64 x (*.f64 y x)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(* 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 y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(* x (* y (- y 1))) |
(*.f64 (-.f64 (*.f64 y x) x) y) |
(* x (* y (- y 1))) |
(*.f64 (-.f64 (*.f64 y x) x) y) |
(* x (* y (- y 1))) |
(*.f64 (-.f64 (*.f64 y x) x) y) |
(* x (* y (- y 1))) |
(*.f64 (-.f64 (*.f64 y x) x) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(* x (* y (- 1 y))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* x (* y (- 1 y))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* x (* y (- 1 y))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* x (* y (- 1 y))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* x (- 1 y)) |
(-.f64 x (*.f64 y x)) |
(* x (- 1 y)) |
(-.f64 x (*.f64 y x)) |
(* x (- 1 y)) |
(-.f64 x (*.f64 y x)) |
(* x (- 1 y)) |
(-.f64 x (*.f64 y x)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(* 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 y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(* x (* y (- y 1))) |
(*.f64 (-.f64 (*.f64 y x) x) y) |
(* x (* y (- y 1))) |
(*.f64 (-.f64 (*.f64 y x) x) y) |
(* x (* y (- y 1))) |
(*.f64 (-.f64 (*.f64 y x) x) y) |
(* x (* y (- y 1))) |
(*.f64 (-.f64 (*.f64 y x) x) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ x (+ 1 y)) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(* x (* y (+ 1 (* -1 y)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* x (* y (+ 1 (* -1 y)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* x (* y (+ 1 (* -1 y)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* x (* y (+ 1 (* -1 y)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* x (+ 1 (* -1 y))) |
(-.f64 x (*.f64 y x)) |
(* x (+ 1 (* -1 y))) |
(-.f64 x (*.f64 y x)) |
(* x (+ 1 (* -1 y))) |
(-.f64 x (*.f64 y x)) |
(* x (+ 1 (* -1 y))) |
(-.f64 x (*.f64 y x)) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(* -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)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(*.f64 (/.f64 y (+.f64 #s(literal 1 binary64) y)) x) |
(* x (* y (- y 1))) |
(*.f64 (-.f64 (*.f64 y x) x) y) |
(* x (* y (- y 1))) |
(*.f64 (-.f64 (*.f64 y x) x) y) |
(* x (* y (- y 1))) |
(*.f64 (-.f64 (*.f64 y x) x) y) |
(* x (* y (- y 1))) |
(*.f64 (-.f64 (*.f64 y x) x) y) |
| 5 010× | lower-fma.f32 |
| 5 008× | lower-fma.f64 |
| 4 520× | lower-/.f32 |
| 4 514× | lower-/.f64 |
| 4 396× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 104 |
| 0 | 37 | 99 |
| 1 | 156 | 99 |
| 2 | 1127 | 99 |
| 0 | 8881 | 99 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/.f64 x (+.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) y) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
(*.f64 y x) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(-.f64 x (*.f64 y x)) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
(-.f64 x (/.f64 x y)) |
(/.f64 x y) |
(/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) |
(*.f64 y (-.f64 y #s(literal 1 binary64))) |
(-.f64 y #s(literal 1 binary64)) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 y x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) (*.f64 y x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) #s(literal -1 binary64)) (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (-.f64 y #s(literal -1 binary64))) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (*.f64 (neg.f64 y) x) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) x) (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (-.f64 #s(literal -1 binary64) y)) (/.f64 (neg.f64 x) (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) #s(literal -1 binary64)) (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 y x) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal -1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y (+.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(*.f64 (/.f64 (*.f64 y x) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 y x) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal -1 binary64))) (/.f64 (-.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y (+.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(*.f64 (/.f64 (*.f64 y x) (-.f64 y #s(literal 1 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal 1 binary64))) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y (+.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(*.f64 (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64))) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (/.f64 y (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64))) (/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal -1 binary64))) (/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y (+.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) (fma.f64 y y #s(literal -1 binary64)))) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 y) (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 y (-.f64 y #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 y x) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(*.f64 (/.f64 y (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) y #s(literal -1 binary64)))) (/.f64 x (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(*.f64 (/.f64 y (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (/.f64 y (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64))) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (/.f64 y (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal -1 binary64))) (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) x) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y (+.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(*.f64 (/.f64 y (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal -1 binary64))) (/.f64 (*.f64 x (-.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y (+.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y #s(literal 1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (fma.f64 (*.f64 (*.f64 y y) y) y #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (fma.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y) #s(literal -1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) y (+.f64 #s(literal 1 binary64) (*.f64 y y)))))) |
(*.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (*.f64 x (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))) |
(*.f64 (/.f64 x (fma.f64 y y #s(literal -1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 x (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))))) |
(*.f64 (/.f64 x (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(*.f64 (/.f64 x (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64))))) |
(*.f64 (*.f64 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (/.f64 y (-.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))))) |
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(fma.f64 (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(fma.f64 (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))) |
(fma.f64 (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (/.f64 y (/.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)))) |
(fma.f64 (/.f64 y (fma.f64 (neg.f64 y) y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(fma.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))) |
(fma.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)))) |
(fma.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(fma.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))) |
(fma.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)))) |
(fma.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)))) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 y y))) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 y y) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) y) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(fma.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) #s(literal 1 binary64) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) y))) |
(fma.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(fma.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))) |
(fma.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)))) |
(fma.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal -1 binary64)))) |
(fma.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (fma.f64 y y y) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (*.f64 y y) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal -1 binary64)))) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) #s(literal -1 binary64)) |
(fma.f64 (*.f64 (-.f64 y #s(literal 1 binary64)) y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) |
(fma.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(fma.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(fma.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))) |
(fma.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)))) |
(fma.f64 y (/.f64 y (-.f64 y #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal -1 binary64)))) |
(fma.f64 y #s(literal 1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal 1 binary64) y #s(literal -1 binary64)) |
(expm1.f64 (*.f64 (log.f64 y) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (-.f64 y #s(literal -1 binary64)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y))) |
(-.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64))))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 y #s(literal 1 binary64)) |
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 y y))) |
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 y y)) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) y)) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(+.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) #s(literal 1 binary64)) (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 (-.f64 y #s(literal 1 binary64)) y))) |
(+.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y))) |
(+.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(+.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (fma.f64 (-.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y) (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) (-.f64 y #s(literal 1 binary64)))) |
(+.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)))) |
(+.f64 (*.f64 (/.f64 y (-.f64 y #s(literal -1 binary64))) y) (/.f64 #s(literal -1 binary64) (-.f64 y #s(literal -1 binary64)))) |
(+.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 y #s(literal -1 binary64)))))) |
(+.f64 #s(literal -1 binary64) y) |
(+.f64 y #s(literal -1 binary64)) |
Compiled 22 240 to 2 362 computations (89.4% saved)
8 alts after pruning (2 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 219 | 2 | 1 221 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 219 | 8 | 1 227 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 67.9% | (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) |
| ✓ | 89.4% | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ✓ | 87.0% | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
| ▶ | 53.3% | #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) |
| ✓ | 48.0% | #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
| ✓ | 53.2% | #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
| ✓ | 54.1% | #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
| ▶ | 3.4% | #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
Compiled 76 to 43 computations (43.4% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) | |
| cost-diff | 320 | (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (/.f64 (neg.f64 x) y) | |
| cost-diff | 0 | #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) | |
| cost-diff | 0 | #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
| 800× | lower-fma.f32 |
| 798× | lower-fma.f64 |
| 536× | lower-*.f32 |
| 532× | lower-*.f64 |
| 296× | associate-/l* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 72 |
| 0 | 22 | 72 |
| 1 | 40 | 70 |
| 2 | 71 | 68 |
| 3 | 130 | 68 |
| 4 | 181 | 68 |
| 5 | 312 | 68 |
| 6 | 495 | 68 |
| 7 | 846 | 68 |
| 8 | 1322 | 68 |
| 9 | 1598 | 68 |
| 10 | 1982 | 68 |
| 11 | 2005 | 68 |
| 12 | 2009 | 68 |
| 13 | 2013 | 68 |
| 0 | 2013 | 68 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
#s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) |
(fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) |
(neg.f64 x) |
x |
(*.f64 y y) |
y |
(*.f64 y x) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
#s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x))) |
(fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y x)) |
(neg.f64 x) |
x |
(*.f64 y y) |
y |
(*.f64 y x) |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 8.245995752782441 | (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) | |
| accuracy | 29.91830574088646 | #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) | |
| accuracy | 0 | (/.f64 (neg.f64 x) y) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 29.04188137217393 | #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) | |
| accuracy | 33.253405618108815 | #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
| 45.0ms | 256× | 0 | valid |
Compiled 49 to 16 computations (67.3% saved)
ival-div: 12.0ms (51.1% of total)ival-mult: 6.0ms (25.5% of total)ival-add: 2.0ms (8.5% of total)ival-sub: 1.0ms (4.3% of total)ival-neg: 1.0ms (4.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) (patch (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (* x (- 1 (/ 1 y))) (taylor 0 x) (#s(alt #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 y))) (taylor 0 x) (#s(alt #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor 0 x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) (patch (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) (patch (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) (patch (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor 0 x) (#s(alt (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) (patch (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 y))) (taylor inf x) (#s(alt #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 y))) (taylor inf x) (#s(alt #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 y))) (taylor inf x) (#s(alt #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 (/ 1 y))) (taylor inf x) (#s(alt #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) (patch (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) (patch (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) (patch (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) (patch (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 y) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 y) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 y) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 y) 1))) (taylor -inf x) (#s(alt #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) (patch #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) y) (patch (/.f64 (neg.f64 x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) (patch (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) (patch (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) (patch (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) (patch (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) (patch #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf x) (#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | inf | ((/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (+ (* (neg x) (* y y)) (* y x)) (/ (* x y) (+ y 1)) (* y y) (* y x)) |
| 2.0ms | x | @ | -inf | ((/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (+ (* (neg x) (* y y)) (* y x)) (/ (* x y) (+ y 1)) (* y y) (* y x)) |
| 2.0ms | x | @ | 0 | ((/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (+ (* (neg x) (* y y)) (* y x)) (/ (* x y) (+ y 1)) (* y y) (* y x)) |
| 1.0ms | y | @ | inf | ((/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (+ (* (neg x) (* y y)) (* y x)) (/ (* x y) (+ y 1)) (* y y) (* y x)) |
| 1.0ms | y | @ | -inf | ((/ (* x y) (+ y 1)) (- x (/ x y)) (/ (neg x) y) (neg x) (+ (* (neg x) (* y y)) (* y x)) (/ (* x y) (+ y 1)) (* y y) (* y x)) |
| 1× | egg-herbie |
| 11 834× | lower-fma.f64 |
| 11 834× | lower-fma.f32 |
| 2 778× | lower-*.f64 |
| 2 778× | lower-*.f32 |
| 1 662× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 962 |
| 1 | 185 | 927 |
| 2 | 399 | 861 |
| 3 | 1255 | 849 |
| 4 | 4162 | 849 |
| 5 | 7607 | 849 |
| 0 | 8093 | 845 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(* -1 (/ x y)) |
(/ (- (* x y) x) y) |
(/ (- (* x y) x) y) |
(/ (- (* x y) x) y) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* y (- (* x y) x)))) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ x y))) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
x |
(+ x (* -1 (/ x y))) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ x y))) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(pow y 2) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* x (+ y (* -1 (pow y 2)))) |
(* x (+ y (* -1 (pow y 2)))) |
(* x (+ y (* -1 (pow y 2)))) |
(* x (+ y (* -1 (pow y 2)))) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* x (+ y (* -1 (pow y 2)))) |
(* x (+ y (* -1 (pow y 2)))) |
(* x (+ y (* -1 (pow y 2)))) |
(* x (+ y (* -1 (pow y 2)))) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 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)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) 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)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 (fma.f64 (-.f64 (*.f64 y x) x) y x) y) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)) x) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) x)) |
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)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y x)) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)) x) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) x)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)) x) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) x)) |
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)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (neg.f64 y) (*.f64 y x)) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)) x) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(*.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) #s(literal 1 binary64)) (-.f64 (/.f64 x y) x)) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(pow y 2) |
(*.f64 y y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) 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 y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) 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 y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) 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 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(*.f64 (-.f64 x (*.f64 y x)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/ (* x y) (+ 1 y)) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
| 7 700× | lower-fma.f32 |
| 7 698× | lower-fma.f64 |
| 5 060× | lower-*.f32 |
| 5 056× | lower-*.f64 |
| 3 688× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 66 |
| 0 | 22 | 66 |
| 1 | 99 | 64 |
| 2 | 686 | 62 |
| 0 | 8727 | 62 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) |
(/.f64 (neg.f64 x) y) |
(neg.f64 x) |
(fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) |
#s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) |
(*.f64 y y) |
(*.f64 y x) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
#s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) x) |
(*.f64 (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 x #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) x) |
(*.f64 #s(literal -1 binary64) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (neg.f64 x)) |
(*.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 x y) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y)) |
(*.f64 x (/.f64 #s(literal -1 binary64) y)) |
(pow.f64 (/.f64 (neg.f64 y) x) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (/.f64 #s(literal 1 binary64) y)) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x x) (neg.f64 x))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) y) |
(/.f64 (/.f64 x #s(literal -1 binary64)) y) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (neg.f64 x))) (*.f64 y (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) #s(literal -1 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) (neg.f64 y))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) #s(literal 1 binary64)) (*.f64 (fma.f64 x x #s(literal 0 binary64)) y)) |
(/.f64 (*.f64 (*.f64 (neg.f64 x) x) #s(literal 1 binary64)) (*.f64 y x)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (neg.f64 y) x)) (neg.f64 y)) (*.f64 (/.f64 (neg.f64 y) x) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 y)) (*.f64 (neg.f64 x) y)) (*.f64 (neg.f64 y) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 y x)) y) (*.f64 (/.f64 y x) y)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) y) (*.f64 y x)) (*.f64 y y)) |
(/.f64 (*.f64 (/.f64 (neg.f64 x) y) x) x) |
(/.f64 (*.f64 (neg.f64 x) (/.f64 x (*.f64 y y))) (/.f64 x y)) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 (/.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 x (*.f64 y y)) x (*.f64 #s(literal 0 binary64) (/.f64 x y))))) |
(/.f64 (*.f64 (neg.f64 x) x) (*.f64 y x)) |
(/.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (*.f64 y (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 #s(literal -1 binary64) (/.f64 y x)) |
(/.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (*.f64 x x) (*.f64 (neg.f64 x) y)) |
(/.f64 (*.f64 (*.f64 x x) x) (*.f64 (neg.f64 y) (fma.f64 x x #s(literal 0 binary64)))) |
(/.f64 (/.f64 (neg.f64 x) y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 x) y) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) x)) |
(/.f64 x (neg.f64 y)) |
(neg.f64 (/.f64 x y)) |
(fma.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 x y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 y) x)) #s(literal -1 binary64))) |
(+.f64 (*.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) (/.f64 (neg.f64 x) y)) |
(+.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) |
(*.f64 (*.f64 (neg.f64 x) x) (/.f64 #s(literal 1 binary64) x)) |
(*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) x) |
(*.f64 (neg.f64 x) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 x)) |
(*.f64 x #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (*.f64 x x) (neg.f64 x))) (fma.f64 x x #s(literal 0 binary64))) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) #s(literal 1 binary64)) (fma.f64 x x #s(literal 0 binary64))) |
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(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 y y) y)))) (*.f64 (*.f64 (*.f64 y y) y) (-.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x)))) (*.f64 (fma.f64 (*.f64 (*.f64 y x) y) (fma.f64 (*.f64 y x) y x) (*.f64 (*.f64 (*.f64 (*.f64 y x) y) y) x)) (*.f64 (*.f64 (*.f64 y y) y) (-.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x))))) |
(/.f64 (*.f64 (*.f64 (*.f64 y x) y) (-.f64 x (*.f64 (*.f64 y x) y))) (*.f64 y (-.f64 x (*.f64 (neg.f64 x) y)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 y) y) x) #s(literal 9 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)))) (*.f64 (fma.f64 (*.f64 (*.f64 x x) y) y (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) (*.f64 (neg.f64 x) (fma.f64 y y y)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) y) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) y) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 y y) y)) (*.f64 y y)) y)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 y) y) x) #s(literal 9 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 y y) y)))) (*.f64 (fma.f64 (*.f64 (*.f64 y x) y) (fma.f64 (*.f64 y x) y x) (*.f64 (*.f64 (*.f64 (*.f64 y x) y) y) x)) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 x x) x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y))) (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 y y)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) y) (*.f64 x x)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) y) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 y y) y)) (*.f64 y y)) y)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 (*.f64 y x) y) x))) (*.f64 (neg.f64 y) (*.f64 x (-.f64 #s(literal -1 binary64) y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 y y) y))))) (neg.f64 (fma.f64 (*.f64 (*.f64 x x) y) y (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) (*.f64 (neg.f64 x) (fma.f64 y y y)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 y y) y))))) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) y) (fma.f64 (*.f64 y x) y x) (*.f64 (*.f64 (*.f64 (*.f64 y x) y) y) x)))) |
(/.f64 (*.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 (*.f64 y x) y) x)) (*.f64 (neg.f64 x) (fma.f64 y y y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 y y) y)))) (fma.f64 (*.f64 (*.f64 x x) y) y (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) (*.f64 (neg.f64 x) (fma.f64 y y y))))) |
(/.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 y y) y)))) (fma.f64 (*.f64 (*.f64 y x) y) (fma.f64 (*.f64 y x) y x) (*.f64 (*.f64 (*.f64 (*.f64 y x) y) y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 x (*.f64 (neg.f64 x) y))) (*.f64 (*.f64 (*.f64 y x) y) (-.f64 x (*.f64 (*.f64 y x) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 (*.f64 x x) y) y (*.f64 (*.f64 (*.f64 (neg.f64 y) y) x) (*.f64 (neg.f64 x) (fma.f64 y y y)))) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 y y) y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 (*.f64 y x) y) x))) (*.f64 (neg.f64 x) (fma.f64 y y y)))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 y y) y))))) (fma.f64 (*.f64 (*.f64 y x) y) (fma.f64 (*.f64 y x) y x) (*.f64 (*.f64 (*.f64 (*.f64 y x) y) y) x)))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 (*.f64 y x) y) x)) (*.f64 (neg.f64 y) (*.f64 x (-.f64 #s(literal -1 binary64) y))))) |
(neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 y y) y)))) (neg.f64 (fma.f64 (*.f64 (*.f64 y x) y) (fma.f64 (*.f64 y x) y x) (*.f64 (*.f64 (*.f64 (*.f64 y x) y) y) x))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y y) y) (-.f64 (*.f64 (*.f64 (*.f64 x x) (neg.f64 x)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x) (*.f64 (*.f64 (*.f64 y x) y) (*.f64 x (-.f64 #s(literal 1 binary64) y)))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 (neg.f64 x) (fma.f64 y y y))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)) (*.f64 (*.f64 (*.f64 y x) y) (-.f64 (*.f64 (*.f64 y x) y) x))) (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 (neg.f64 x) (fma.f64 y y y))))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) y) #s(literal -1 binary64)) (neg.f64 x) (*.f64 y x)) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y x) y) y) x) y) (/.f64 y (*.f64 x (-.f64 #s(literal -1 binary64) y))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 (neg.f64 x) (fma.f64 y y y))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (neg.f64 x)) y) (/.f64 (neg.f64 x) (*.f64 x (-.f64 #s(literal -1 binary64) y))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 (neg.f64 x) (fma.f64 y y y))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) y) (/.f64 (*.f64 y y) (*.f64 x (-.f64 #s(literal -1 binary64) y))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 (neg.f64 x) (fma.f64 y y y))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) y) (/.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal -1 binary64) y))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 (neg.f64 x) (fma.f64 y y y))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y x) y) y) (/.f64 (*.f64 (*.f64 y x) y) (*.f64 x (-.f64 #s(literal -1 binary64) y))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 (neg.f64 x) (fma.f64 y y y))))) |
(fma.f64 (/.f64 (*.f64 (neg.f64 x) y) y) (/.f64 (*.f64 (*.f64 y (*.f64 (neg.f64 y) y)) x) (*.f64 x (-.f64 #s(literal -1 binary64) y))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 (neg.f64 x) (fma.f64 y y y))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) y) (/.f64 (*.f64 (*.f64 (neg.f64 y) y) x) (*.f64 x (-.f64 #s(literal -1 binary64) y))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 (neg.f64 x) (fma.f64 y y y))))) |
(fma.f64 (/.f64 (*.f64 y y) y) (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 x (-.f64 #s(literal -1 binary64) y))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 (neg.f64 x) (fma.f64 y y y))))) |
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) |
(fma.f64 (*.f64 (*.f64 y x) y) #s(literal -1 binary64) (*.f64 y x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 y x) y) (*.f64 y x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(fma.f64 (*.f64 (/.f64 x y) x) (/.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x (-.f64 #s(literal -1 binary64) y))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 (neg.f64 x) (fma.f64 y y y))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)) (/.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) (fma.f64 y y y))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 (neg.f64 x) (fma.f64 y y y))))) |
(fma.f64 (neg.f64 y) (*.f64 y x) (*.f64 y x)) |
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(fma.f64 (*.f64 (neg.f64 x) y) y (*.f64 y x)) |
(fma.f64 (*.f64 (*.f64 (neg.f64 y) y) x) #s(literal 1 binary64) (*.f64 y x)) |
(fma.f64 (*.f64 y x) (neg.f64 y) (*.f64 y x)) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(fma.f64 (*.f64 y y) (neg.f64 x) (*.f64 y x)) |
(fma.f64 (/.f64 (neg.f64 x) y) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (neg.f64 x)) (*.f64 x (-.f64 #s(literal -1 binary64) y))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 (neg.f64 x) (fma.f64 y y y))))) |
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 y) y) x) (*.f64 y x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(fma.f64 y (*.f64 (neg.f64 x) y) (*.f64 y x)) |
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) y) x)) |
(fma.f64 x (*.f64 (neg.f64 y) y) (*.f64 y x)) |
(fma.f64 x y (*.f64 (*.f64 (neg.f64 y) y) x)) |
(-.f64 (fma.f64 y x #s(literal 0 binary64)) (*.f64 (*.f64 y x) y)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 y (-.f64 x (*.f64 (neg.f64 x) y)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)) (*.f64 y (-.f64 x (*.f64 (neg.f64 x) y))))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)) (*.f64 (neg.f64 x) (fma.f64 y y y))) (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 (neg.f64 x) (fma.f64 y y y)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y x) y) (*.f64 y x))) |
(-.f64 (*.f64 y x) (*.f64 (*.f64 y x) y)) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) y) (*.f64 x x)) (*.f64 (neg.f64 x) (fma.f64 y y y))) (neg.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 (neg.f64 x) (fma.f64 y y y))))) |
(+.f64 (*.f64 (*.f64 (neg.f64 y) y) x) (*.f64 y x)) |
(+.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 y) y) x)) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (*.f64 (neg.f64 y) #s(literal -1 binary64)) y) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) y)) |
(*.f64 (neg.f64 y) (neg.f64 y)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 y) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(neg.f64 (*.f64 (neg.f64 y) y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 y) (neg.f64 x)) |
(*.f64 (*.f64 y x) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (neg.f64 y)) |
(*.f64 #s(literal 1 binary64) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 x y) |
(neg.f64 (*.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) y)) |
Compiled 7 061 to 507 computations (92.8% saved)
8 alts after pruning (0 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 389 | 0 | 389 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 6 | 6 |
| Total | 389 | 8 | 397 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 67.9% | (/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) |
| ✓ | 89.4% | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ✓ | 87.0% | (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
| ✓ | 53.3% | #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) |
| ✓ | 48.0% | #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
| ✓ | 53.2% | #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
| ✓ | 54.1% | #s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
| ✓ | 3.4% | #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
Compiled 138 to 67 computations (51.4% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
#s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 x (*.f64 y (-.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
3 calls:
| 3.0ms | x |
| 3.0ms | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 2 | x |
| 100.0% | 3 | y |
| 99.9% | 2 | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
#s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
(*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
3 calls:
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 3 | y |
| 87.0% | 1 | x |
| 87.0% | 1 | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
#s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
#s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
1 calls:
| 31.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | y |
Compiled 3 to 2 computations (33.3% saved)
Total -33.5b remaining (-114.1%)
Threshold costs -33.5b (-114.1%)
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 (neg.f64 x) y))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 54.1% | 1 | x |
| 54.1% | 1 | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 54.1% | 1 | y |
Compiled 15 to 10 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.074227038182136e+165 | 1.0110358380724842e+170 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 9.0ms | 33796923.76887274 | 13043969915.254568 |
| 15.0ms | -2.037939179737698e+78 | -1.0797439217929746e+72 |
| 11.0ms | 272× | 0 | valid |
Compiled 335 to 215 computations (35.8% saved)
ival-div: 2.0ms (36.8% of total)ival-mult: 2.0ms (36.8% of total)ival-add: 1.0ms (18.4% 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 |
|---|---|---|
| 11.0ms | 0.00034618495931170595 | 10963125.345671706 |
| 15.0ms | -34082406.74661119 | -0.0006083361764200899 |
| 15.0ms | 320× | 0 | valid |
Compiled 452 to 251 computations (44.5% saved)
ival-add: 4.0ms (43.3% of total)ival-div: 2.0ms (21.7% of total)ival-mult: 2.0ms (21.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.00034618495931170595 | 10963125.345671706 |
| 1.0ms | -34082406.74661119 | -0.0006083361764200899 |
Compiled 412 to 231 computations (43.9% saved)
| 1× | egg-herbie |
| 14× | *-commutative_binary64 |
| 14× | +-commutative_binary64 |
| 12× | sub-neg_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 176 |
| 1 | 56 | 176 |
| 2 | 72 | 176 |
| 3 | 79 | 176 |
| 4 | 82 | 176 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 9999999999999999404072760505352583023983296100855298230449769143938302256661863838179600254051950569374547392515068357773127490685649548117139715971745147241514401792 binary64)) (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) |
(if (<=.f64 y #s(literal -1099999999999999997029820812924160287423472384494478235658118573112426496 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 70000000 binary64)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 9999999999999999404072760505352583023983296100855298230449769143938302256661863838179600254051950569374547392515068357773127490685649548117139715971745147241514401792 binary64)) (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) |
(if (<=.f64 (/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) #s(literal 9999999999999999404072760505352583023983296100855298230449769143938302256661863838179600254051950569374547392515068357773127490685649548117139715971745147241514401792 binary64)) (/.f64 (*.f64 y x) (+.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y)) |
(if (<=.f64 y #s(literal -1099999999999999997029820812924160287423472384494478235658118573112426496 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 70000000 binary64)) (*.f64 (/.f64 x (+.f64 #s(literal 1 binary64) y)) y) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 y x))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 x (*.f64 y x)) y)) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 y x)) |
| 9 976× | lower-fma.f64 |
| 9 976× | lower-fma.f32 |
| 5 518× | lower-/.f32 |
| 5 516× | lower-/.f64 |
| 5 010× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 23 | 104 |
| 0 | 37 | 99 |
| 1 | 156 | 99 |
| 2 | 1127 | 99 |
| 0 | 8881 | 99 |
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 35 | 13 |
| 2 | 203 | 13 |
| 3 | 1891 | 13 |
| 0 | 8396 | 13 |
| 0 | 46 | 299 |
| 1 | 135 | 290 |
| 2 | 274 | 282 |
| 3 | 1005 | 276 |
| 4 | 4069 | 276 |
| 5 | 5956 | 276 |
| 6 | 7080 | 276 |
| 7 | 7762 | 276 |
| 0 | 8009 | 274 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 215 to 83 computations (61.4% saved)
(negabs x)
Compiled 384 to 136 computations (64.6% saved)
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