
Time bar (total: 5.0s)
| 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)
| 569.0ms | 8 256× | 0 | valid |
ival-mult: 152.0ms (52.7% of total)ival-add: 77.0ms (26.7% of total)ival-div: 47.0ms (16.3% of total)ival-true: 6.0ms (2.1% of total)exact: 4.0ms (1.4% of total)ival-assert: 3.0ms (1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 26 | 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 | 26 | 0 |
| ↳ | (*.f64 x y) | overflow | 26 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 26 | 0 |
| - | 0 | 230 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 26 | 0 | 0 |
| - | 0 | 0 | 230 |
| number | freq |
|---|---|
| 0 | 230 |
| 1 | 26 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 22.0ms | 512× | 0 | valid |
Compiled 45 to 22 computations (51.1% saved)
ival-mult: 4.0ms (40.5% of total)ival-div: 3.0ms (30.4% of total)ival-add: 3.0ms (30.4% 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 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(negabs x)
Compiled 9 to 6 computations (33.3% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.4% | (/.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 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) |
(*.f64 x y) |
x |
y |
(+.f64 y #s(literal 1 binary64)) |
#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 | 6.140359640793 | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 46.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-div: 36.0ms (91.6% of total)ival-mult: 2.0ms (5.1% of total)ival-add: 1.0ms (2.5% 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) (+ 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) (+ 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) (+ 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 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 (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 (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 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) (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) (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) (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 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 (* 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 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 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 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>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (/ (* x y) (+ y 1)) |
| 1.0ms | y | @ | inf | (+ y 1) |
| 1.0ms | x | @ | inf | (/ (* x y) (+ y 1)) |
| 1.0ms | y | @ | inf | (/ (* x y) (+ y 1)) |
| 0.0ms | x | @ | inf | (* x y) |
| 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 | 1008 | 276 |
| 4 | 4085 | 276 |
| 5 | 5964 | 276 |
| 6 | 7080 | 276 |
| 7 | 7763 | 276 |
| 0 | 8010 | 274 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x y) |
(* 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 (/ 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 (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
1 |
(+ 1 y) |
(+ 1 y) |
(+ 1 y) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
y |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
(* y (+ 1 (/ 1 y))) |
| Outputs |
|---|
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/ (* x y) (+ 1 y)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 x (fma.f64 y (neg.f64 y) y)) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 y (fma.f64 x (-.f64 (*.f64 y y) y) x)) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 y (*.f64 (-.f64 x (*.f64 x y)) (fma.f64 y y #s(literal 1 binary64)))) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (+.f64 x (/.f64 x (*.f64 y y)))) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(*.f64 (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) (+.f64 x (/.f64 x (*.f64 y y)))) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
(+ 1 y) |
(+.f64 y #s(literal 1 binary64)) |
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)) |
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)) |
| 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 (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 y y)) (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y))) |
(+.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 y y))) |
(+.f64 (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) y) (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))) |
(+.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))) |
(+.f64 (*.f64 y (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x y))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y))) |
(-.f64 #s(literal 0 binary64) (/.f64 (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(-.f64 (/.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(fma.f64 y (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))))) |
(fma.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (*.f64 y y) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))) |
(fma.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 y y) (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y))) |
(fma.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 y y))) |
(fma.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) y (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y)))) |
(/.f64 x (/.f64 (+.f64 y #s(literal 1 binary64)) y)) |
(/.f64 y (/.f64 (+.f64 y #s(literal 1 binary64)) x)) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))))) (*.f64 (*.f64 x y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)) (*.f64 (*.f64 x y) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) (*.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) (*.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)))) (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (fma.f64 y y #s(literal -1 binary64)) y) (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (*.f64 x y) #s(literal 1 binary64)))) |
(/.f64 (*.f64 y (/.f64 x (+.f64 y #s(literal 1 binary64)))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 x y)) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(/.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 x y))) |
(/.f64 (neg.f64 y) (neg.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) x))) |
(/.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (neg.f64 (/.f64 #s(literal 1 binary64) (*.f64 x y)))) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y))) |
(/.f64 (/.f64 (*.f64 x y) (-.f64 #s(literal -1 binary64) y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 x (*.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (-.f64 (*.f64 y y) y)) (fma.f64 y y #s(literal -1 binary64))) |
(/.f64 (*.f64 (*.f64 x y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)))))) |
(/.f64 (*.f64 (*.f64 x y) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) |
(/.f64 (*.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 y (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 (+.f64 y #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))))) |
(/.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)) |
(/.f64 (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (/.f64 (*.f64 x y) #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (*.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 x y))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 x y))) (*.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 #s(literal -1 binary64) y) (*.f64 x y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) y) (neg.f64 (*.f64 x y)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64))))) (*.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (*.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 (*.f64 x y) (neg.f64 (fma.f64 y y #s(literal -1 binary64)))))) (*.f64 (-.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))))) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x y) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x y) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)))) (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64)))) (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) (neg.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)))) (neg.f64 (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 #s(literal -1 binary64) y)) |
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(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y))) (neg.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (fma.f64 y (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y)))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (fma.f64 y y #s(literal 1 binary64))) |
(/.f64 (-.f64 (neg.f64 (*.f64 y y)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (-.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y y)) #s(literal 1 binary64))) (*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y y)) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y y)) #s(literal -1 binary64))) (*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 y y)) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) y))) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.f64 y y)) (+.f64 y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (*.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) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 y (*.f64 y (-.f64 #s(literal 1 binary64) y)))) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)))) (neg.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))) (+.f64 y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64)))) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64)))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))))) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (fma.f64 y y #s(literal -1 binary64))))) (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))))) (neg.f64 (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))) (neg.f64 (fma.f64 y (/.f64 y (+.f64 y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (neg.f64 (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) (neg.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (neg.f64 (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (neg.f64 (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (+.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y))) (*.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 y)))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (/.f64 #s(literal -1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) (pow.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (-.f64 (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal -1 binary64))) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))))))) |
(/.f64 (+.f64 (pow.f64 (neg.f64 (neg.f64 y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 y)) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 (neg.f64 y)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (-.f64 #s(literal -1 binary64) y) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)) (*.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) #s(literal 3 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)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal 1 binary64) y)))))) |
(pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) |
(*.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.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 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 #s(literal 1 binary64) y))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))))) (fma.f64 y (*.f64 y (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y))))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (*.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (fma.f64 y y (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y y)) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1/2 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y (*.f64 y y)) (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y y #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) #s(literal 1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal 1 binary64)) (*.f64 y (*.f64 y y))))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 y y (-.f64 #s(literal 1 binary64) y)) (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
Compiled 8 392 to 1 037 computations (87.6% saved)
5 alts after pruning (4 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 388 | 4 | 392 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 388 | 5 | 393 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.4% | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ▶ | 72.6% | (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) |
| ▶ | 52.5% | #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
| ▶ | 48.6% | #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) |
| ▶ | 50.1% | #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) |
Compiled 47 to 26 computations (44.7% saved)
| 1× | egg-herbie |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y y #s(literal -1 binary64)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) | |
| cost-diff | 704 | (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 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 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 y (neg.f64 y) y) | |
| cost-diff | 0 | (*.f64 x (fma.f64 y (neg.f64 y) y)) | |
| cost-diff | 0 | #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) |
| 16 348× | lower-fma.f32 |
| 16 344× | lower-fma.f64 |
| 4 344× | lower-*.f32 |
| 4 338× | lower-*.f64 |
| 1 542× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 103 |
| 0 | 32 | 98 |
| 1 | 66 | 98 |
| 2 | 148 | 98 |
| 3 | 418 | 98 |
| 4 | 870 | 98 |
| 5 | 4038 | 98 |
| 0 | 8341 | 98 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) |
(*.f64 x (fma.f64 y (neg.f64 y) y)) |
x |
(fma.f64 y (neg.f64 y) y) |
y |
(neg.f64 y) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
(-.f64 x (/.f64 x y)) |
x |
(/.f64 x y) |
y |
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 x y) |
x |
y |
(fma.f64 y y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(+.f64 y #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) |
(*.f64 x (fma.f64 y (neg.f64 y) y)) |
x |
(fma.f64 y (neg.f64 y) y) |
y |
(neg.f64 y) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
(-.f64 x (/.f64 x y)) |
x |
(/.f64 x y) |
y |
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 x y) |
x |
y |
(fma.f64 y y #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(+.f64 y #s(literal -1 binary64)) |
Found 13 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 y #s(literal -1 binary64)) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 7.218742395194944 | (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) | |
| accuracy | 10.054191172618166 | (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0.00390625 | (-.f64 x (/.f64 x y)) | |
| accuracy | 30.40489541933112 | #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) | |
| accuracy | 0 | (fma.f64 y (neg.f64 y) y) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 4.55800717065602 | (*.f64 x (fma.f64 y (neg.f64 y) y)) | |
| accuracy | 32.854951164029586 | #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 31.936801137517353 | #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) |
| 39.0ms | 256× | 0 | valid |
Compiled 92 to 20 computations (78.3% saved)
ival-mult: 8.0ms (32.4% of total)ival-div: 7.0ms (28.3% of total)ival-add: 7.0ms (28.3% of total)ival-sub: 1.0ms (4% of total)ival-neg: 1.0ms (4% 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)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x (fma.f64 y (neg.f64 y) y)) (patch (*.f64 x (fma.f64 y (neg.f64 y) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y (neg.f64 y) y) (patch (fma.f64 y (neg.f64 y) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<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 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y 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) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.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 y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.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 y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.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 y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ x (pow y 2))) (/ x y)) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ x y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) (patch #s(approx (/ (* x y) (+ y 1)) (*.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) (taylor 0 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) (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) (taylor -inf x) (#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 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 (* 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 (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* y (- (* x y) x)))) (taylor 0 y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) 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 (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (/ x (pow y 2))) (/ x y)) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) (taylor inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ x y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 y (neg.f64 y) y)) (patch (*.f64 x (fma.f64 y (neg.f64 y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor 0 x) (#s(alt (*.f64 x (fma.f64 y (neg.f64 y) y)) (patch (*.f64 x (fma.f64 y (neg.f64 y) y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor 0 x) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor 0 x) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor 0 x) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor inf x) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor inf x) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor inf x) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (* y (- y 1))) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* y (+ (* -1 x) (* x y))))) (taylor 0 y) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt x (taylor inf y) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ x y))) (taylor inf y) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (- (+ x (+ (* -1 (/ x y)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2)))) (taylor inf y) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf y) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ x y))) (taylor -inf y) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) (taylor -inf y) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) y))) (taylor -inf y) (#s(alt (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) (patch (*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (- (pow y 2) 1)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (- (pow y 2) 1)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (- (pow y 2) 1)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (- (pow y 2) 1)) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (- (pow y 2) 1)) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (- (pow y 2) 1)) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 x) (* -1 (* x (pow y 2))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 x) (* (pow y 2) (- (* -1 (* x (pow y 2))) x)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) x)) x)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (/ x (pow y 2))) y) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x (/ x (pow y 4))) (* -1 (/ x (pow y 2)))) y) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x (/ x (pow y 6))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) y) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ x (pow y 2)))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ x (pow y 4))) (* -1 (/ x (pow y 6)))))) y)) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (patch (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (pow y 2) 1) (taylor 0 y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor inf y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- 1 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- 1 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- 1 (/ 1 (pow y 2)))) (taylor inf y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (pow y 2) (taylor -inf y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- 1 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- 1 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (- 1 (/ 1 (pow y 2)))) (taylor -inf y) (#s(alt (fma.f64 y y #s(literal -1 binary64)) (patch (fma.f64 y 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 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 y (taylor -inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 y) 1))) (taylor -inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 y) 1))) (taylor -inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ 1 y) 1))) (taylor -inf y) (#s(alt (+.f64 y #s(literal -1 binary64)) (patch (+.f64 y #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
66 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | (/ x y) |
| 1.0ms | x | @ | 0 | (* (/ (* x y) (+ (* y y) -1)) (+ y -1)) |
| 1.0ms | x | @ | 0 | (* x (+ (* y (neg y)) y)) |
| 1.0ms | x | @ | inf | (* (/ (* x y) (+ (* y y) -1)) (+ y -1)) |
| 0.0ms | x | @ | inf | (- x (/ x y)) |
| 1× | egg-herbie |
| 17 498× | lower-fma.f64 |
| 17 498× | lower-fma.f32 |
| 3 508× | lower-*.f64 |
| 3 508× | lower-*.f32 |
| 2 942× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 130 | 1679 |
| 1 | 410 | 1587 |
| 2 | 973 | 1539 |
| 3 | 3304 | 1510 |
| 0 | 8322 | 1484 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x y) |
(* 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 (/ 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 (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x y) |
(* 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 (/ 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 (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(* 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 (pow y 2)))) |
(* 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 (pow y 2)))) |
(* x (+ y (* -1 (pow y 2)))) |
(* x (+ y (* -1 (pow y 2)))) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
y |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* -1 y))) |
(* y (+ 1 (* -1 y))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x y) |
(* 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 (/ 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 (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (/ x y)) |
(/ (- (* x y) x) y) |
(/ (- (* x y) x) y) |
(/ (- (* x y) x) y) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ x y))) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ x y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* 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))) (- (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))) (- (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 (+ x (* -1 (* x y)))) |
(* y (+ x (* y (+ (* -1 x) (* x y))))) |
(* y (+ x (* y (+ (* -1 x) (* y (- (* -1 (* x y)) (* -1 x))))))) |
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 |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) y))) |
(/ (* x y) (- (pow y 2) 1)) |
(/ (* x y) (- (pow y 2) 1)) |
(/ (* x y) (- (pow y 2) 1)) |
(/ (* x y) (- (pow y 2) 1)) |
(/ (* x y) (- (pow y 2) 1)) |
(/ (* x y) (- (pow y 2) 1)) |
(/ (* x y) (- (pow y 2) 1)) |
(/ (* x y) (- (pow y 2) 1)) |
(/ (* x y) (- (pow y 2) 1)) |
(/ (* x y) (- (pow y 2) 1)) |
(/ (* x y) (- (pow y 2) 1)) |
(/ (* x y) (- (pow y 2) 1)) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (* -1 (* x (pow y 2))))) |
(* y (+ (* -1 x) (* (pow y 2) (- (* -1 (* x (pow y 2))) x)))) |
(* y (+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) x)) x)))) |
(/ x y) |
(/ (+ x (/ x (pow y 2))) y) |
(/ (- (+ x (/ x (pow y 4))) (* -1 (/ x (pow y 2)))) y) |
(/ (- (+ x (/ x (pow y 6))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ x (pow y 2)))) y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) y)) |
(* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ x (pow y 4))) (* -1 (/ x (pow y 6)))))) y)) |
-1 |
(- (pow y 2) 1) |
(- (pow y 2) 1) |
(- (pow y 2) 1) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(pow y 2) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
| Outputs |
|---|
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 y (fma.f64 x (-.f64 (*.f64 y y) y) x)) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 (-.f64 x (*.f64 x y)) (fma.f64 y (*.f64 y y) y)) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(*.f64 (+.f64 x (/.f64 x (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.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 (/.f64 x y) x) y)) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(*.f64 (+.f64 x (/.f64 x (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 y (fma.f64 x (-.f64 (*.f64 y y) y) x)) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 (-.f64 x (*.f64 x y)) (fma.f64 y (*.f64 y y) y)) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(*.f64 (+.f64 x (/.f64 x (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.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 (/.f64 x y) x) y)) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(*.f64 (+.f64 x (/.f64 x (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* -1 (* x (pow y 2))) |
(*.f64 y (*.f64 y (neg.f64 x))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* -1 (* x (pow y 2))) |
(*.f64 y (*.f64 y (neg.f64 x))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
y |
(* y (+ 1 (* -1 y))) |
(-.f64 y (*.f64 y y)) |
(* y (+ 1 (* -1 y))) |
(-.f64 y (*.f64 y y)) |
(* y (+ 1 (* -1 y))) |
(-.f64 y (*.f64 y y)) |
(* -1 (pow y 2)) |
(*.f64 y (neg.f64 y)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(-.f64 y (*.f64 y y)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(-.f64 y (*.f64 y y)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(-.f64 y (*.f64 y y)) |
(* -1 (pow y 2)) |
(*.f64 y (neg.f64 y)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(-.f64 y (*.f64 y y)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(-.f64 y (*.f64 y y)) |
(* (pow y 2) (- (/ 1 y) 1)) |
(-.f64 y (*.f64 y y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 y (fma.f64 x (-.f64 (*.f64 y y) y) x)) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 (-.f64 x (*.f64 x y)) (fma.f64 y (*.f64 y y) y)) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(- (+ x (/ x (pow y 2))) (/ x y)) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(- (+ x (* -1 (/ x (pow y 3)))) (+ (* -1 (/ x (pow y 2))) (/ x y))) |
(*.f64 (+.f64 x (/.f64 x (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.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 (/.f64 x y) x) y)) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(*.f64 (+.f64 x (/.f64 x (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) 1))) |
(-.f64 x (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) 1))) |
(-.f64 x (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) 1))) |
(-.f64 x (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) 1))) |
(-.f64 x (/.f64 x y)) |
(* -1 (/ x y)) |
(/.f64 x (neg.f64 y)) |
(/ (- (* x y) x) y) |
(-.f64 x (/.f64 x y)) |
(/ (- (* x y) x) y) |
(-.f64 x (/.f64 x y)) |
(/ (- (* x y) x) y) |
(-.f64 x (/.f64 x y)) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x (* y (- y 1))) (- (pow y 2) 1)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* y (+ x (* y (+ (* -1 x) (* x y))))) |
(*.f64 y (fma.f64 x (-.f64 (*.f64 y y) y) x)) |
(* y (+ x (* y (+ (* -1 x) (* y (- (* -1 (* x y)) (* -1 x))))))) |
(*.f64 (-.f64 x (*.f64 x y)) (fma.f64 y (*.f64 y y) y)) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (+ (* -1 (/ x y)) (/ x (pow y 2)))) |
(+.f64 x (/.f64 (-.f64 (/.f64 x y) x) y)) |
(- (+ x (+ (* -1 (/ x y)) (* -1 (/ x (pow y 3))))) (* -1 (/ x (pow y 2)))) |
(*.f64 (+.f64 x (/.f64 x (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.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 (/.f64 x y) x) y)) |
(+ x (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) (* -1 x)) y))) y))) |
(*.f64 (+.f64 x (/.f64 x (*.f64 y y))) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y))) |
(/ (* x y) (- (pow y 2) 1)) |
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(/ (* x y) (- (pow y 2) 1)) |
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(/ (* x y) (- (pow y 2) 1)) |
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(/ (* x y) (- (pow y 2) 1)) |
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(/ (* x y) (- (pow y 2) 1)) |
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(/ (* x y) (- (pow y 2) 1)) |
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(/ (* x y) (- (pow y 2) 1)) |
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(/ (* x y) (- (pow y 2) 1)) |
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(/ (* x y) (- (pow y 2) 1)) |
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(/ (* x y) (- (pow y 2) 1)) |
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(/ (* x y) (- (pow y 2) 1)) |
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(/ (* x y) (- (pow y 2) 1)) |
(*.f64 y (/.f64 x (fma.f64 y y #s(literal -1 binary64)))) |
(* -1 (* x y)) |
(*.f64 y (neg.f64 x)) |
(* y (+ (* -1 x) (* -1 (* x (pow y 2))))) |
(neg.f64 (*.f64 y (fma.f64 x (*.f64 y y) x))) |
(* y (+ (* -1 x) (* (pow y 2) (- (* -1 (* x (pow y 2))) x)))) |
(*.f64 y (*.f64 x (fma.f64 (*.f64 y (neg.f64 y)) (fma.f64 y y #s(literal 1 binary64)) #s(literal -1 binary64)))) |
(* y (+ (* -1 x) (* (pow y 2) (- (* (pow y 2) (- (* -1 (* x (pow y 2))) x)) x)))) |
(*.f64 y (*.f64 (fma.f64 x (*.f64 y y) x) (fma.f64 (*.f64 y y) (*.f64 y (neg.f64 y)) #s(literal -1 binary64)))) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (/ x (pow y 2))) y) |
(/.f64 (+.f64 x (/.f64 x (*.f64 y y))) y) |
(/ (- (+ x (/ x (pow y 4))) (* -1 (/ x (pow y 2)))) y) |
(/.f64 (+.f64 x (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))))) y) |
(/ (- (+ x (/ x (pow y 6))) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) y) |
(/.f64 (+.f64 x (+.f64 (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y #s(literal 6 binary64)))))) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ x (pow y 2)))) y)) |
(/.f64 (+.f64 x (/.f64 x (*.f64 y y))) y) |
(* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 4))))) y)) |
(/.f64 (+.f64 x (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))))) y) |
(* -1 (/ (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (+ (* -1 (/ x (pow y 4))) (* -1 (/ x (pow y 6)))))) y)) |
(/.f64 (+.f64 x (+.f64 (/.f64 x (*.f64 (*.f64 y y) (*.f64 y y))) (+.f64 (/.f64 x (*.f64 y y)) (/.f64 x (pow.f64 y #s(literal 6 binary64)))))) y) |
-1 |
#s(literal -1 binary64) |
(- (pow y 2) 1) |
(fma.f64 y y #s(literal -1 binary64)) |
(- (pow y 2) 1) |
(fma.f64 y y #s(literal -1 binary64)) |
(- (pow y 2) 1) |
(fma.f64 y y #s(literal -1 binary64)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal -1 binary64)) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal -1 binary64)) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal -1 binary64)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal -1 binary64)) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal -1 binary64)) |
(* (pow y 2) (- 1 (/ 1 (pow y 2)))) |
(fma.f64 y y #s(literal -1 binary64)) |
-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)) |
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)) |
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)) |
| 9 638× | lower-fma.f32 |
| 9 634× | lower-fma.f64 |
| 4 566× | lower-*.f32 |
| 4 560× | lower-*.f64 |
| 3 708× | lower-/.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 91 |
| 0 | 32 | 86 |
| 1 | 139 | 86 |
| 2 | 1099 | 85 |
| 0 | 8980 | 85 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) |
(*.f64 x y) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) |
(*.f64 x (fma.f64 y (neg.f64 y) y)) |
(fma.f64 y (neg.f64 y) y) |
(neg.f64 y) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
(-.f64 x (/.f64 x y)) |
(/.f64 x y) |
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) |
(/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) |
(fma.f64 y y #s(literal -1 binary64)) |
(+.f64 y #s(literal -1 binary64)) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) |
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y))) |
(neg.f64 (*.f64 x (neg.f64 y))) |
(*.f64 x y) |
(*.f64 y x) |
(*.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 (*.f64 x y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 y) (neg.f64 x)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 y))) |
(*.f64 (neg.f64 x) (neg.f64 y)) |
(*.f64 (*.f64 x (neg.f64 y)) #s(literal -1 binary64)) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (-.f64 y (*.f64 y y)))) |
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y)))) |
(+.f64 (*.f64 x (*.f64 y (neg.f64 y))) (*.f64 x y)) |
(-.f64 (*.f64 x y) (*.f64 x (*.f64 y y))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (-.f64 (*.f64 y y) y))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) y)))) (/.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) y))))) |
(fma.f64 x y (*.f64 x (*.f64 y (neg.f64 y)))) |
(fma.f64 x (*.f64 y (neg.f64 y)) (*.f64 x y)) |
(fma.f64 y x (*.f64 x (*.f64 y (neg.f64 y)))) |
(fma.f64 y (*.f64 x (neg.f64 y)) (*.f64 x y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y)))) |
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 x (*.f64 y (neg.f64 y)))) |
(fma.f64 (*.f64 x y) (neg.f64 y) (*.f64 x y)) |
(fma.f64 (neg.f64 y) (*.f64 x y) (*.f64 x y)) |
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 x (*.f64 y (neg.f64 y)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 y)) (*.f64 x (*.f64 y (neg.f64 y)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (*.f64 y y)) (*.f64 x y)) |
(fma.f64 (*.f64 y y) (neg.f64 x) (*.f64 x y)) |
(fma.f64 (*.f64 y (neg.f64 y)) x (*.f64 x y)) |
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 x (*.f64 y (neg.f64 y)))) |
(fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 x y)) |
(fma.f64 (*.f64 x (neg.f64 y)) y (*.f64 x y)) |
(fma.f64 (*.f64 x (neg.f64 y)) #s(literal -1 binary64) (*.f64 x (*.f64 y (neg.f64 y)))) |
(fma.f64 (*.f64 x (*.f64 y (neg.f64 y))) #s(literal 1 binary64) (*.f64 x y)) |
(fma.f64 (*.f64 x (*.f64 y y)) #s(literal -1 binary64) (*.f64 x y)) |
(fma.f64 (*.f64 x #s(literal -1 binary64)) (*.f64 y y) (*.f64 x y)) |
(neg.f64 (*.f64 x (-.f64 (*.f64 y y) y))) |
(/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 y (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y)))))) (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) y))) (*.f64 (*.f64 x (-.f64 y (*.f64 y y))) (*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (*.f64 y y) (fma.f64 y y y))) (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) y)) (*.f64 x (*.f64 y (fma.f64 y (*.f64 y y) y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (fma.f64 y (*.f64 y y) (fma.f64 y y y))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y (-.f64 #s(literal -1 binary64) y)) (*.f64 (*.f64 y (fma.f64 y (*.f64 y y) y)) x))) |
(/.f64 (*.f64 x (neg.f64 y)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 (*.f64 (*.f64 x y) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (fma.f64 y (neg.f64 y) (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (*.f64 (*.f64 x (neg.f64 y)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (*.f64 (*.f64 x (neg.f64 y)) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)))) (fma.f64 (*.f64 y y) (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y))))))) |
(/.f64 (*.f64 (*.f64 x (-.f64 y (*.f64 y y))) (*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) y)))) (*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) y)))) |
(/.f64 (*.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y)))) (*.f64 y (fma.f64 y (*.f64 y y) (fma.f64 y y y)))) |
(/.f64 (*.f64 x (*.f64 y (fma.f64 y (*.f64 y y) y))) (*.f64 y (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) x) (*.f64 y (fma.f64 y (*.f64 y y) (fma.f64 y y y)))) |
(/.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y y) y)) x) (*.f64 y (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (neg.f64 (fma.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)) (*.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y))))) (neg.f64 (fma.f64 (*.f64 y y) (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x y) (-.f64 (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y)))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (-.f64 y (*.f64 y y))) (*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) y))))) (neg.f64 (*.f64 x (*.f64 y (-.f64 #s(literal -1 binary64) y))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))))) (neg.f64 (*.f64 y (fma.f64 y (*.f64 y y) (fma.f64 y y y))))) |
(/.f64 (neg.f64 (*.f64 x (*.f64 y (fma.f64 y (*.f64 y y) y)))) (fma.f64 y y y)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 y (*.f64 y y))) x)) (neg.f64 (*.f64 y (fma.f64 y (*.f64 y y) (fma.f64 y y y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 y (fma.f64 y (*.f64 y y) y)) x)) (fma.f64 y y y)) |
(/.f64 (fma.f64 (*.f64 x y) (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))) (*.f64 x (*.f64 x x)))) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 x y) (*.f64 x y))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 y y) (*.f64 (*.f64 x y) (*.f64 x y)))) (-.f64 (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y))))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(*.f64 y (neg.f64 (fma.f64 x y (neg.f64 x)))) |
(*.f64 y (+.f64 x (*.f64 x (neg.f64 y)))) |
(*.f64 y (fma.f64 x (neg.f64 y) x)) |
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (neg.f64 y) (fma.f64 x y (neg.f64 x))) |
(*.f64 (-.f64 y (*.f64 y y)) x) |
(*.f64 #s(literal -1 binary64) (*.f64 x (-.f64 (*.f64 y y) y))) |
(*.f64 (neg.f64 x) (-.f64 (*.f64 y y) y)) |
(*.f64 (*.f64 x (neg.f64 y)) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (+.f64 y #s(literal -1 binary64)) (*.f64 x (neg.f64 y))) |
(*.f64 (*.f64 (*.f64 x (neg.f64 y)) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (*.f64 (*.f64 x (neg.f64 y)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) |
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(+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64))) (+.f64 y #s(literal -1 binary64)))) |
(+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(-.f64 y #s(literal 1 binary64)) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y))) |
(-.f64 (/.f64 (/.f64 (*.f64 y (*.f64 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 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(expm1.f64 (*.f64 (log.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)) |
(fma.f64 (neg.f64 y) #s(literal -1 binary64) #s(literal -1 binary64)) |
(fma.f64 #s(literal -1 binary64) (neg.f64 y) #s(literal -1 binary64)) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (+.f64 y #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 y #s(literal 1 binary64))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(fma.f64 (*.f64 y y) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.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 y #s(literal 1 binary64))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(fma.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 (*.f64 y y) y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(fma.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 (*.f64 y y) y) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(fma.f64 (/.f64 y (fma.f64 y y #s(literal -1 binary64))) (-.f64 (*.f64 y y) 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 y y #s(literal -1 binary64))) (-.f64 (*.f64 y y) y) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(fma.f64 (/.f64 y (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y 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 (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (*.f64 (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(fma.f64 (pow.f64 y #s(literal 1/2 binary64)) (pow.f64 y #s(literal 1/2 binary64)) #s(literal -1 binary64)) |
(neg.f64 (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal 1 binary64))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(/.f64 (fma.f64 y y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (fma.f64 y (neg.f64 y) (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (-.f64 (*.f64 y (fma.f64 y y y)) (+.f64 y #s(literal 1 binary64))) (*.f64 (+.f64 y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal -1 binary64) y)) (*.f64 (+.f64 y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (fma.f64 y (neg.f64 y) (-.f64 #s(literal -1 binary64) y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) (+.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 (+.f64 y #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (fma.f64 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) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64)) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
(*.f64 (+.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (fma.f64 y (neg.f64 y) (-.f64 #s(literal -1 binary64) y)))) |
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(*.f64 (/.f64 (fma.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64))))) |
(*.f64 (/.f64 (fma.f64 y (*.f64 y (*.f64 y y)) #s(literal -1 binary64)) (fma.f64 y (*.f64 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) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(*.f64 (/.f64 (+.f64 y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 (+.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(*.f64 (/.f64 (+.f64 y #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal -1 binary64)))) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
Compiled 25 859 to 2 364 computations (90.9% saved)
5 alts after pruning (2 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 282 | 2 | 1 284 |
| Fresh | 0 | 0 | 0 |
| Picked | 2 | 2 | 4 |
| Done | 0 | 1 | 1 |
| Total | 1 284 | 5 | 1 289 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.4% | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ✓ | 52.5% | #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
| ▶ | 48.7% | #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) |
| ✓ | 50.1% | #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) |
| ▶ | 3.2% | #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) |
Compiled 41 to 23 computations (43.9% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (/.f64 x (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) | |
| cost-diff | 0 | #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) |
| 800× | lower-fma.f64 |
| 800× | lower-fma.f32 |
| 536× | lower-*.f32 |
| 532× | lower-*.f64 |
| 236× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 67 |
| 0 | 21 | 67 |
| 1 | 37 | 67 |
| 2 | 64 | 67 |
| 3 | 124 | 67 |
| 4 | 232 | 67 |
| 5 | 411 | 67 |
| 6 | 731 | 67 |
| 7 | 1042 | 67 |
| 8 | 1455 | 67 |
| 9 | 1613 | 67 |
| 10 | 1771 | 67 |
| 11 | 1776 | 67 |
| 12 | 1779 | 67 |
| 13 | 1780 | 67 |
| 0 | 1780 | 67 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) |
#s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) |
(/.f64 x (neg.f64 y)) |
x |
(neg.f64 y) |
y |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 x y) |
x |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) |
#s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) |
(/.f64 x (neg.f64 y)) |
x |
(neg.f64 y) |
y |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (-.f64 y (*.f64 y y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
(*.f64 x y) |
x |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.09375 | (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) | |
| accuracy | 32.854951164029586 | #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) | |
| accuracy | 0 | (/.f64 x (neg.f64 y)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 30.40489541933112 | #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) | |
| accuracy | 31.87277288726593 | #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) |
| 30.0ms | 256× | 0 | valid |
Compiled 45 to 14 computations (68.9% saved)
ival-div: 5.0ms (38.3% of total)ival-mult: 3.0ms (23% of total)ival-sub: 2.0ms (15.3% of total)ival-add: 1.0ms (7.7% of total)ival-neg: 1.0ms (7.7% 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 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) (patch #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (neg.f64 y)) (patch (/.f64 x (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x y) (+ 1 y)) (taylor 0 x) (#s(alt #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 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 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 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 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 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 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 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 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 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 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 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 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 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 x (neg.f64 y)))) (patch #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) (taylor -inf y) (#s(alt #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) (patch #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x 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 (* -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 (* -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 (* -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 inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ 1 y) 1)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- 1 (/ 1 y)))) (taylor -inf y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) 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) (taylor 0 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) (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) (taylor -inf x) (#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 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 (* 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 (* x y) (taylor -inf y) (#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ())) ()) |
42 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | 0 | (* (- 1 y) (* x y)) |
| 0.0ms | y | @ | -inf | (* (- 1 y) (* x y)) |
| 0.0ms | y | @ | 0 | (* (- 1 y) (* x y)) |
| 0.0ms | x | @ | inf | (* (- 1 y) (* x y)) |
| 0.0ms | x | @ | 0 | (/ x (neg y)) |
| 1× | egg-herbie |
| 11 576× | lower-fma.f64 |
| 11 576× | lower-fma.f32 |
| 2 572× | lower-*.f64 |
| 2 572× | lower-*.f32 |
| 1 600× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 62 | 933 |
| 1 | 177 | 873 |
| 2 | 415 | 857 |
| 3 | 1196 | 845 |
| 4 | 4525 | 845 |
| 5 | 7342 | 845 |
| 0 | 8061 | 841 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(* x y) |
(* 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 (/ 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 (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* x (- 1 (/ 1 y))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (* x (- (/ 1 y) 1))) |
(* -1 (/ x y)) |
(/ (- (* x y) x) y) |
(/ (- (* x y) x) y) |
(/ (- (* x y) x) y) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ x y))) |
x |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ x y))) |
(+ x (* -1 (/ x y))) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 (/ x y)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 1 y)) |
(/ (* x y) (+ 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 |
(+ 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 (* -1 (/ x y))) y))) |
(+ x (* -1 (/ (+ x (* -1 (/ (+ x (* -1 (/ x y))) y))) y))) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
| Outputs |
|---|
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 y (fma.f64 x (-.f64 (*.f64 y y) y) x)) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 y (*.f64 (-.f64 x (*.f64 x y)) (fma.f64 y 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 x (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y 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 x (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 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)) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* x (- 1 (/ 1 y))) |
(-.f64 x (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) 1))) |
(-.f64 x (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) 1))) |
(-.f64 x (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) 1))) |
(-.f64 x (/.f64 x y)) |
(* -1 (* x (- (/ 1 y) 1))) |
(-.f64 x (/.f64 x y)) |
(* -1 (/ x y)) |
(/.f64 (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 |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
x |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(+ x (* -1 (/ x y))) |
(-.f64 x (/.f64 x y)) |
(* -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 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 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 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 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 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 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(/ (* x y) (+ 1 y)) |
(*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64)))) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* y (+ x (* y (- (* x y) x)))) |
(*.f64 y (fma.f64 x (-.f64 (*.f64 y y) y) x)) |
(* y (+ x (* y (- (* y (- (* -1 (* x y)) (* -1 x))) x)))) |
(*.f64 y (*.f64 (-.f64 x (*.f64 x y)) (fma.f64 y 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 x (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y 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 x (/.f64 x y)) (+.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 y y)))) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* -1 (* x (pow y 2))) |
(*.f64 y (*.f64 y (neg.f64 x))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* -1 (* x (pow y 2))) |
(*.f64 y (*.f64 y (neg.f64 x))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* x (* y (- 1 y))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* x (* y (- 1 y))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* x (* y (- 1 y))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* x (* y (- 1 y))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* x (* y (- 1 y))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* x (* y (- 1 y))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* x (* y (- 1 y))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* x (* y (- 1 y))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* x (* y (- 1 y))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* x (* y (- 1 y))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* x (* y (- 1 y))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
(* x (* y (- 1 y))) |
(*.f64 x (-.f64 y (*.f64 y y))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* y (- (/ 1 y) 1)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(-.f64 #s(literal 1 binary64) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
| 3 742× | lower-fma.f64 |
| 3 742× | lower-fma.f32 |
| 3 734× | lower-*.f32 |
| 3 730× | lower-*.f64 |
| 3 498× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 62 |
| 0 | 21 | 62 |
| 1 | 89 | 62 |
| 2 | 596 | 62 |
| 0 | 8236 | 62 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) |
#s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) |
(/.f64 x (neg.f64 y)) |
(neg.f64 y) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) |
(-.f64 #s(literal 1 binary64) y) |
(*.f64 x y) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) |
#s(approx (- x (/ x y)) (/.f64 x (neg.f64 y))) |
(+.f64 #s(literal 0 binary64) (/.f64 x (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y (neg.f64 x))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 x y)) |
(-.f64 (/.f64 #s(literal 0 binary64) y) (/.f64 x y)) |
(neg.f64 (/.f64 x y)) |
(/.f64 x (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (neg.f64 x))) |
(/.f64 (/.f64 x y) #s(literal -1 binary64)) |
(/.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)) |
(/.f64 (neg.f64 x) y) |
(/.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 #s(literal 1 binary64) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 y x)) |
(/.f64 (neg.f64 (/.f64 (*.f64 x (*.f64 x x)) (*.f64 y (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (fma.f64 x (/.f64 x (*.f64 y y)) (*.f64 #s(literal 0 binary64) (/.f64 x y))))) |
(/.f64 (neg.f64 (*.f64 x (/.f64 x (*.f64 y y)))) (+.f64 #s(literal 0 binary64) (/.f64 x y))) |
(pow.f64 (/.f64 y (neg.f64 x)) #s(literal -1 binary64)) |
(*.f64 x (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (/.f64 x (neg.f64 y))) |
(*.f64 (/.f64 x y) #s(literal -1 binary64)) |
(*.f64 (/.f64 x (neg.f64 y)) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) x) |
(*.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 #s(literal -1 binary64) (/.f64 x y)) |
(*.f64 (pow.f64 (/.f64 y (neg.f64 x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (neg.f64 x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 x (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y)) |
(*.f64 (/.f64 x (*.f64 y (neg.f64 y))) y) |
(+.f64 (neg.f64 y) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
(-.f64 #s(literal 0 binary64) y) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 y y)) y) |
(-.f64 (/.f64 #s(literal 0 binary64) y) y) |
(fma.f64 y #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 0 binary64)) |
(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) y #s(literal 0 binary64)) |
(fma.f64 (neg.f64 (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y)) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y) #s(literal 0 binary64)) |
(neg.f64 y) |
(/.f64 y #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 y y) (neg.f64 (*.f64 y (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 y (neg.f64 y)))) |
(/.f64 (neg.f64 y) #s(literal 1 binary64)) |
(/.f64 (*.f64 y (*.f64 y y)) (*.f64 y (neg.f64 y))) |
(/.f64 (*.f64 y y) (neg.f64 y)) |
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (*.f64 y y)) |
(/.f64 (neg.f64 (*.f64 y (*.f64 y y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) #s(literal 0 binary64)))) |
(/.f64 (*.f64 y (neg.f64 y)) y) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (*.f64 y (*.f64 y y)))) (*.f64 y y)) |
(/.f64 (*.f64 (neg.f64 (*.f64 y (*.f64 y y))) #s(literal 1 binary64)) (*.f64 y y)) |
(*.f64 y #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 y)) |
(*.f64 (neg.f64 y) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 (neg.f64 (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (*.f64 y y))) |
(*.f64 (*.f64 y (neg.f64 y)) (/.f64 #s(literal 1 binary64) y)) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) |
(+.f64 (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y)))) |
(+.f64 (*.f64 x (*.f64 y (neg.f64 y))) (*.f64 x y)) |
(fma.f64 x y (*.f64 x (*.f64 y (neg.f64 y)))) |
(fma.f64 x (*.f64 y (neg.f64 y)) (*.f64 x y)) |
(fma.f64 y x (*.f64 x (*.f64 y (neg.f64 y)))) |
(fma.f64 y (*.f64 x (neg.f64 y)) (*.f64 x y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y)))) |
(fma.f64 (neg.f64 y) (*.f64 x y) (*.f64 x y)) |
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 x (*.f64 y (neg.f64 y)))) |
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 x (*.f64 y (neg.f64 y)))) |
(fma.f64 (*.f64 x y) (neg.f64 y) (*.f64 x y)) |
(fma.f64 (*.f64 x (neg.f64 y)) y (*.f64 x y)) |
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 x (*.f64 y (neg.f64 y)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 y)) (*.f64 x (*.f64 y (neg.f64 y)))) |
(fma.f64 #s(literal -1 binary64) (*.f64 y (*.f64 x y)) (*.f64 x y)) |
(fma.f64 (*.f64 y (neg.f64 y)) x (*.f64 x y)) |
(fma.f64 (*.f64 (*.f64 x y) y) #s(literal -1 binary64) (*.f64 x y)) |
(neg.f64 (*.f64 (neg.f64 y) (fma.f64 x (neg.f64 y) x))) |
(neg.f64 (*.f64 (fma.f64 x (neg.f64 y) x) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))) (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y #s(literal 1 binary64)) (*.f64 y (*.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))))) |
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (*.f64 y (*.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (neg.f64 (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))))) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (*.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64))))) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 y (neg.f64 y))) #s(literal 3 binary64))) (fma.f64 (*.f64 x y) (*.f64 x y) (-.f64 (*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (*.f64 x (*.f64 y (neg.f64 y)))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y))))))) |
(/.f64 (-.f64 (*.f64 (*.f64 x y) (*.f64 x y)) (*.f64 (*.f64 x (*.f64 y (neg.f64 y))) (*.f64 x (*.f64 y (neg.f64 y))))) (-.f64 (*.f64 x y) (*.f64 x (*.f64 y (neg.f64 y))))) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (*.f64 x y)) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(/.f64 (*.f64 (fma.f64 y y #s(literal -1 binary64)) (*.f64 x y)) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (/.f64 (*.f64 y (*.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(/.f64 (/.f64 (*.f64 y (*.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))) (fma.f64 y y #s(literal -1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 x (fma.f64 y (neg.f64 y) y)) |
(*.f64 y (fma.f64 x (neg.f64 y) x)) |
(*.f64 y (*.f64 #s(literal 1 binary64) (fma.f64 x (neg.f64 y) x))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 y (neg.f64 y) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) |
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 x (fma.f64 y (neg.f64 y) y)) #s(literal 1 binary64)) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 x y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 (*.f64 x y) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 y) (fma.f64 x (neg.f64 y) x))) |
(*.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) (*.f64 x (/.f64 y (+.f64 y #s(literal 1 binary64))))) |
(*.f64 (fma.f64 x (neg.f64 y) x) y) |
(*.f64 (fma.f64 y (neg.f64 y) y) x) |
(*.f64 (*.f64 y (*.f64 x (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (*.f64 y (*.f64 x (fma.f64 y (neg.f64 y) #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
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(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal 1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (+.f64 y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) #s(literal -1 binary64)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) y))) |
(/.f64 (*.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (*.f64 y (*.f64 y (*.f64 y y)))))) |
(/.f64 (*.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (*.f64 (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) |
(/.f64 (neg.f64 (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y)))) (neg.f64 (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) |
(/.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) #s(literal -1 binary64)) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) #s(literal 3 binary64))) (fma.f64 (/.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 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (fma.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (*.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (*.f64 (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) (+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y (*.f64 y y)) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal -1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (fma.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (fma.f64 y y y)) (*.f64 y (*.f64 y (*.f64 y y))))) |
(/.f64 (*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal -1 binary64))) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y))) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y)) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal 1 binary64))) |
(/.f64 (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))) (fma.f64 y (*.f64 y y) #s(literal -1 binary64))) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(/.f64 (*.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) (+.f64 y #s(literal -1 binary64))) (fma.f64 y y #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (fma.f64 (*.f64 y (*.f64 y y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y (*.f64 y y)) (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) (fma.f64 y y #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) |
(*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (fma.f64 y y #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (+.f64 y #s(literal -1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64)))) |
(*.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y (*.f64 y y))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y (fma.f64 y y #s(literal 1 binary64)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 y (fma.f64 y y #s(literal 1 binary64)))) (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y)))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal -1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (+.f64 y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) (fma.f64 y (neg.f64 y) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y (*.f64 y y) #s(literal 1 binary64))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal -1 binary64)) (fma.f64 y y #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (fma.f64 (fma.f64 y y y) (*.f64 (fma.f64 y y y) (fma.f64 y y y)) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (+.f64 (fma.f64 y y #s(literal -1 binary64)) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (*.f64 y (*.f64 y y))) (-.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) (fma.f64 y y y)))) (-.f64 #s(literal 1 binary64) (fma.f64 y y y))) |
(*.f64 (/.f64 (fma.f64 y (neg.f64 y) #s(literal 1 binary64)) (fma.f64 y (*.f64 y (neg.f64 y)) #s(literal -1 binary64))) (neg.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(-.f64 #s(literal 0 binary64) (*.f64 x (neg.f64 y))) |
(neg.f64 (*.f64 x (neg.f64 y))) |
(*.f64 x y) |
(*.f64 y x) |
(*.f64 #s(literal 1 binary64) (*.f64 x y)) |
(*.f64 (neg.f64 y) (neg.f64 x)) |
(*.f64 (*.f64 x y) #s(literal 1 binary64)) |
(*.f64 (neg.f64 x) (neg.f64 y)) |
(*.f64 #s(literal -1 binary64) (*.f64 x (neg.f64 y))) |
Compiled 6 227 to 681 computations (89.1% saved)
5 alts after pruning (0 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 417 | 0 | 417 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 3 | 3 |
| Total | 417 | 5 | 422 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.4% | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| ✓ | 52.5% | #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
| ✓ | 48.7% | #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) |
| ✓ | 50.1% | #s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) |
| ✓ | 3.2% | #s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) |
Compiled 94 to 42 computations (55.3% saved)
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) |
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 x y) (fma.f64 y y #s(literal -1 binary64))) (+.f64 y #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
3 calls:
| 293.0ms | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 3.0ms | x |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.4% | 1 | 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 x y)) |
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 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 #s(literal 1 binary64) y) (*.f64 x y))) |
#s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))) |
2 calls:
| 2.0ms | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.6% | 3 | y |
| 81.5% | 2 | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
Compiled 12 to 8 computations (33.3% saved)
Total -31.1b remaining (-97.4%)
Threshold costs -31.1b (-97.4%)
| Inputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) |
#s(approx (/ (* x y) (+ y 1)) #s(approx (- x (/ x y)) (/.f64 x (neg.f64 y)))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 x (fma.f64 y (neg.f64 y) y))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) |
| Outputs |
|---|
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.1% | 1 | (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) |
| 50.1% | 1 | x |
| 50.1% | 1 | y |
Compiled 15 to 10 computations (33.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.034124206413234e+269 | 5.754120239824164e+275 |
Compiled 12 to 11 computations (8.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 3.3504327014530136e-14 | 111.15303354615206 |
| 13.0ms | -7982582.512196257 | -2.6480998150238407e-18 |
| 13.0ms | 336× | 0 | valid |
Compiled 432 to 263 computations (39.1% saved)
ival-div: 2.0ms (31% of total)ival-mult: 2.0ms (31% of total)ival-add: 1.0ms (15.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 12× | +-commutative_binary64 |
| 10× | *-commutative_binary64 |
| 10× | sub-neg_binary64 |
| 6× | neg-sub0_binary64 |
| 6× | neg-mul-1_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 24 | 90 |
| 1 | 34 | 90 |
| 2 | 43 | 90 |
| 3 | 49 | 90 |
| 4 | 53 | 90 |
| 5 | 54 | 90 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1000000000000000046753818885456127989189605431330410286841364872744016439394555894610368258180303336939076888134044950289326168184662430331474313277416979816387389279864637935586997520238352311022660078293728671385192933261062303434752638026781377548741967884639283445760 binary64)) (/.f64 (*.f64 x y) (+.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 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) |
| Outputs |
|---|
(if (<=.f64 (/.f64 (*.f64 x y) (+.f64 y #s(literal 1 binary64))) #s(literal 1000000000000000046753818885456127989189605431330410286841364872744016439394555894610368258180303336939076888134044950289326168184662430331474313277416979816387389279864637935586997520238352311022660078293728671385192933261062303434752638026781377548741967884639283445760 binary64)) (/.f64 (*.f64 x y) (+.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 x (/.f64 x y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (* x y) (+ y 1)) (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x 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)) (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))) #s(approx (/ (* x y) (+ y 1)) (-.f64 x (/.f64 x y))))) |
#s(approx (/ (* x y) (+ y 1)) (*.f64 x y)) |
| 9 976× | lower-fma.f64 |
| 9 976× | lower-fma.f32 |
| 9 638× | lower-fma.f32 |
| 9 634× | lower-fma.f64 |
| 4 566× | lower-*.f32 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 91 |
| 0 | 32 | 86 |
| 1 | 139 | 86 |
| 2 | 1099 | 85 |
| 0 | 8980 | 85 |
| 0 | 46 | 299 |
| 1 | 135 | 290 |
| 2 | 274 | 282 |
| 3 | 1008 | 276 |
| 4 | 4085 | 276 |
| 5 | 5964 | 276 |
| 6 | 7080 | 276 |
| 7 | 7763 | 276 |
| 0 | 8010 | 274 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 95 to 39 computations (58.9% saved)
Compiled 260 to 104 computations (60% saved)
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