
Time bar (total: 6.9s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 8 computations (11.1% saved)
| 514.0ms | 8 256× | 0 | valid |
ival-mult: 173.0ms (68.6% of total)ival-sub: 64.0ms (25.4% of total)ival-true: 6.0ms (2.4% of total)exact: 5.0ms (2% of total)ival-assert: 4.0ms (1.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) y) |
| 0 | 0 | - | 0 | - | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 37.0ms | 512× | 0 | valid |
Compiled 45 to 22 computations (51.1% saved)
ival-mult: 21.0ms (84.8% of total)ival-sub: 3.0ms (12.1% 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 |
| 339× | unsub-neg |
| 232× | lower-fma.f64 |
| 232× | lower-fma.f32 |
| 212× | distribute-lft-in |
| 145× | distribute-rgt-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 43 |
| 1 | 56 | 37 |
| 2 | 222 | 35 |
| 3 | 743 | 35 |
| 4 | 1281 | 35 |
| 5 | 1901 | 35 |
| 6 | 1903 | 35 |
| 7 | 1903 | 35 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 17 | 7 |
| 2 | 40 | 7 |
| 3 | 80 | 7 |
| 4 | 170 | 7 |
| 5 | 247 | 7 |
| 6 | 355 | 7 |
| 7 | 546 | 7 |
| 8 | 664 | 7 |
| 9 | 705 | 7 |
| 0 | 705 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(negabs x)
Compiled 9 to 6 computations (33.3% saved)
Compiled 2 to 2 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 99.9% | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 9 to 6 computations (33.3% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 232× | lower-fma.f64 |
| 232× | lower-fma.f32 |
| 140× | lower-*.f32 |
| 138× | lower-*.f64 |
| 87× | distribute-lft-in |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 17 | 16 |
| 2 | 40 | 16 |
| 3 | 80 | 16 |
| 4 | 170 | 16 |
| 5 | 247 | 16 |
| 6 | 355 | 16 |
| 7 | 546 | 16 |
| 8 | 664 | 16 |
| 9 | 705 | 16 |
| 0 | 705 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
| Outputs |
|---|
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.06640625 | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 16.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-mult: 7.0ms (85% of total)ival-sub: 1.0ms (12.1% 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 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) (patch (*.f64 (*.f64 x y) (-.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>) () ())) ()) |
#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>) () ())) ()) |
15 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | x | @ | 0 | (* x y) |
| 1.0ms | x | @ | inf | (* x y) |
| 1.0ms | x | @ | 0 | (* (* x y) (- 1 y)) |
| 1.0ms | y | @ | 0 | (* (* x y) (- 1 y)) |
| 1.0ms | x | @ | inf | (* (* x y) (- 1 y)) |
| 1× | egg-herbie |
| 2 219× | lower-*.f64 |
| 2 219× | lower-*.f32 |
| 2 108× | lower-fma.f64 |
| 2 108× | lower-fma.f32 |
| 827× | cube-prod |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 266 |
| 1 | 70 | 266 |
| 2 | 165 | 266 |
| 3 | 263 | 266 |
| 4 | 639 | 266 |
| 5 | 2103 | 266 |
| 6 | 4169 | 266 |
| 7 | 5645 | 266 |
| 8 | 6518 | 266 |
| 9 | 7094 | 266 |
| 10 | 7719 | 266 |
| 0 | 8233 | 266 |
| 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 (* -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) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
| Outputs |
|---|
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(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) |
| 2 158× | lower-fma.f64 |
| 2 158× | lower-fma.f32 |
| 1 998× | lower-/.f64 |
| 1 998× | lower-/.f32 |
| 1 765× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 30 | 13 |
| 2 | 165 | 13 |
| 3 | 1343 | 13 |
| 0 | 9562 | 12 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 x y) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 y x) #s(literal -1 binary64)) (-.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 y (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 y (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) #s(literal 1 binary64)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 y (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (fma.f64 (*.f64 y 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 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) (/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 x (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) (/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 x (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 x (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.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 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) x) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (*.f64 y x) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 y x) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 y y) y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 y x) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 y x) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y))))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 y x) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (*.f64 y x) (/.f64 (neg.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 (*.f64 y x) (/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))) |
(*.f64 (/.f64 (*.f64 y x) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 (*.f64 y x) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 (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 x) (fma.f64 y y #s(literal 1 binary64))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal 1 binary64)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 y (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y))))) (/.f64 x (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) |
(*.f64 (/.f64 y (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 y y) y))))) (/.f64 x (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 x (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (/.f64 y (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y))))) (/.f64 x (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))))) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 (*.f64 y x) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 y (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 (*.f64 x (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 y (/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 y (/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))) |
(*.f64 (/.f64 y (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 y #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) |
(*.f64 (/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) y)) #s(literal -1 binary64)) (/.f64 (*.f64 y x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 x (/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 x (/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))) |
(*.f64 (/.f64 x (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) 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 (/.f64 x (fma.f64 y y #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))))) (/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(*.f64 (/.f64 x (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y y) #s(literal 1 binary64))) (/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y) (/.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64))))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y #s(literal 1 binary64)))) (/.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) y))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 (*.f64 y x) (-.f64 #s(literal -1 binary64) (fma.f64 y y y)))) |
(*.f64 (/.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (fma.f64 y y #s(literal 1 binary64)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 (*.f64 y x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (fma.f64 y y y)) |
(*.f64 (/.f64 x (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 (*.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)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y))))) (/.f64 (*.f64 y x) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 y y) y))))) (/.f64 (*.f64 y x) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 (*.f64 y x) (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y))))) (/.f64 (*.f64 y x) (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y))))) (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 y y) y))))) (/.f64 y (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (*.f64 y y))))) (/.f64 y (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (/.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y))))) (/.f64 y (fma.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 x (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 y (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 (*.f64 x (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 y (fma.f64 y y #s(literal 1 binary64))) (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))))) (/.f64 (*.f64 x (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(*.f64 (/.f64 y (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (*.f64 x (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 y x) (-.f64 #s(literal 1 binary64) y)) (fma.f64 y y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 y x) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 x (fma.f64 y y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 x (fma.f64 y y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) x) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) x) y) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y y) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
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(-.f64 (/.f64 (*.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) 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))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (fma.f64 (*.f64 (*.f64 y y) (/.f64 y (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (*.f64 (*.f64 y y) (/.f64 y (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (*.f64 (*.f64 y y) (/.f64 y (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (/.f64 y (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (*.f64 (*.f64 y y) (/.f64 y (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) (*.f64 (*.f64 y y) (/.f64 y (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (fma.f64 (*.f64 (*.f64 y y) (/.f64 y (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (*.f64 (*.f64 y y) (/.f64 y (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (*.f64 (*.f64 y y) (/.f64 y (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))))))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 y y)) (*.f64 (-.f64 #s(literal 1 binary64) y) (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) (/.f64 (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (*.f64 (*.f64 y y) y)) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y)) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64)))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (*.f64 (-.f64 (fma.f64 y y #s(literal 1 binary64)) y) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) (fma.f64 y y y))) (-.f64 #s(literal -1 binary64) y)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y)) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (/.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y)) (*.f64 (*.f64 y y) y)) (fma.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 #s(literal -1 binary64) y)) (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) (-.f64 #s(literal -1 binary64) y)) |
(-.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (/.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))) #s(literal 1 binary64))) |
(-.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) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (*.f64 (*.f64 y y) (/.f64 y (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)))) |
(-.f64 #s(literal 0 binary64) (-.f64 #s(literal -1 binary64) y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (neg.f64 y)) |
(-.f64 #s(literal 1 binary64) y) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y))) #s(literal -1 binary64))) |
(+.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal -1 binary64) y)) (neg.f64 (*.f64 y (/.f64 y (-.f64 #s(literal 1 binary64) y))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (-.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (neg.f64 (*.f64 (*.f64 y y) (/.f64 y (-.f64 (fma.f64 y y #s(literal 1 binary64)) y))))) |
(+.f64 (neg.f64 y) #s(literal 1 binary64)) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) |
(+.f64 #s(literal 1 binary64) (neg.f64 y)) |
(+.f64 #s(literal 1 binary64) y) |
(+.f64 y #s(literal 1 binary64)) |
Compiled 13 644 to 1 267 computations (90.7% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 478 | 7 | 485 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 478 | 8 | 486 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 86.3% | (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) |
| ▶ | 99.9% | (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) |
| 86.2% | (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)) | |
| 34.5% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 y) x) y)) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 (*.f64 y x) y) (*.f64 (*.f64 y x) y))))) | |
| ▶ | 99.9% | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
| ✓ | 99.9% | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| ▶ | 63.2% | (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| ▶ | 58.9% | #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
Compiled 197 to 102 computations (48.2% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) y) | |
| cost-diff | 320 | (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- 1 y) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) | |
| cost-diff | 0 | (*.f64 y x) | |
| cost-diff | 0 | #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) x) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 y) x) y) | |
| cost-diff | 320 | (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) |
| 304× | lower-fma.f32 |
| 302× | lower-fma.f64 |
| 212× | lower-*.f32 |
| 204× | lower-*.f64 |
| 167× | distribute-lft-in |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 100 |
| 0 | 33 | 99 |
| 1 | 64 | 96 |
| 2 | 121 | 96 |
| 3 | 186 | 96 |
| 4 | 286 | 96 |
| 5 | 449 | 96 |
| 6 | 643 | 96 |
| 7 | 774 | 96 |
| 8 | 970 | 96 |
| 9 | 1043 | 96 |
| 10 | 1351 | 96 |
| 11 | 1353 | 96 |
| 12 | 1356 | 96 |
| 13 | 1358 | 96 |
| 0 | 1358 | 96 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) |
y |
x |
(*.f64 (*.f64 (neg.f64 y) x) y) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
(*.f64 x y) |
x |
y |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
x |
(*.f64 y x) |
| Outputs |
|---|
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) |
(*.f64 (fma.f64 (neg.f64 y) y y) x) |
y |
x |
(*.f64 (*.f64 (neg.f64 y) x) y) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) x) |
(*.f64 (neg.f64 x) y) |
(neg.f64 y) |
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 x y)) |
(*.f64 y x) |
(*.f64 x y) |
y |
x |
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
(*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 x y)) |
(*.f64 x y) |
x |
y |
#s(approx (- 1 y) (neg.f64 y)) |
(neg.f64 y) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 (fma.f64 (neg.f64 y) y y) x) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) |
(*.f64 (fma.f64 (neg.f64 y) y y) x) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
x |
(*.f64 y x) |
(*.f64 x y) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 (neg.f64 y) y) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 8.773731886426441 | (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) x) | |
| accuracy | 0.07421875 | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.06640625 | (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) | |
| accuracy | 30.874452418129188 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0 | (*.f64 y x) | |
| accuracy | 26.275648083012932 | #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) | |
| accuracy | 0 | (*.f64 (neg.f64 y) x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.01171875 | (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) | |
| accuracy | 0.10546875 | (*.f64 (*.f64 (neg.f64 y) x) y) |
| 32.0ms | 256× | 0 | valid |
Compiled 94 to 18 computations (80.9% saved)
ival-mult: 16.0ms (77.2% of total)ival-add: 2.0ms (9.7% of total)ival-sub: 1.0ms (4.8% of total)ival-neg: 1.0ms (4.8% 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 (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 y) x) y) (patch (*.f64 (*.f64 (neg.f64 y) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 y x) (patch (*.f64 y x) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (patch (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 y) (neg.f64 y)) (patch #s(approx (- 1 y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x y) (taylor 0 y) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor inf y) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor -inf y) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor 0 x) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor 0 x) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor 0 x) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor 0 x) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) (patch (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) #<representation binary64>) () ())) ()) |
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#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 y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor inf y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor 0 x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* -1 (pow y 2)))) (taylor inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 y) (pow y 2)))) (taylor -inf x) (#s(alt (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) (patch (fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor 0 y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor inf y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ())) ()) |
72 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | inf | (* (* x y) (- 1 y)) |
| 1.0ms | y | @ | inf | (neg y) |
| 1.0ms | x | @ | 0 | (* y x) |
| 1.0ms | x | @ | 0 | (+ (* y x) (* (* (neg y) x) y)) |
| 1.0ms | x | @ | inf | (+ (* y x) (* (* (neg y) x) y)) |
| 1× | egg-herbie |
| 3 200× | lower-fma.f64 |
| 3 200× | lower-fma.f32 |
| 2 045× | lower-*.f64 |
| 2 045× | lower-*.f32 |
| 742× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 39 | 1570 |
| 1 | 122 | 1444 |
| 2 | 284 | 1444 |
| 3 | 488 | 1444 |
| 4 | 1515 | 1444 |
| 5 | 2807 | 1444 |
| 6 | 3807 | 1444 |
| 7 | 4722 | 1444 |
| 8 | 5509 | 1444 |
| 9 | 5756 | 1444 |
| 10 | 5823 | 1444 |
| 11 | 5880 | 1444 |
| 12 | 6352 | 1444 |
| 13 | 6594 | 1444 |
| 14 | 6780 | 1444 |
| 15 | 6847 | 1444 |
| 16 | 6899 | 1444 |
| 17 | 7005 | 1444 |
| 18 | 7847 | 1444 |
| 0 | 8144 | 1444 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 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 (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)))) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -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 (* -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) |
(* 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 (* -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) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
(* x (* y (- 1 y))) |
x |
(+ x (* -1 (* x y))) |
(+ x (* -1 (* x y))) |
(+ x (* -1 (* x y))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (/ x y))) |
(* y (+ (* -1 x) (/ x y))) |
(* y (+ (* -1 x) (/ x y))) |
(* -1 (* x y)) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* -1 (* y (+ x (* -1 (/ x y))))) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
(* x (- 1 y)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* x y) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* y (+ x (* -1 (* x y)))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(* x (+ y (* -1 (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)))) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
| Outputs |
|---|
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
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(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
| 2 581× | lower-fma.f32 |
| 2 579× | lower-fma.f64 |
| 1 524× | lower-*.f32 |
| 1 517× | lower-*.f64 |
| 698× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 82 |
| 0 | 33 | 83 |
| 1 | 103 | 80 |
| 2 | 553 | 80 |
| 3 | 6185 | 72 |
| 0 | 9245 | 67 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) |
(*.f64 (*.f64 (neg.f64 y) x) y) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
(*.f64 y x) |
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
(*.f64 x y) |
#s(approx (- 1 y) (neg.f64 y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(*.f64 (-.f64 #s(literal 1 binary64) y) x) |
(-.f64 #s(literal 1 binary64) y) |
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) |
(*.f64 (neg.f64 y) y) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (fma.f64 y y #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) x) y) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))))) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) x) y) (fma.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))) (fma.f64 y y y) #s(literal 1 binary64))) (fma.f64 (fma.f64 y y y) (-.f64 (fma.f64 y y y) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) y))) (*.f64 (*.f64 (*.f64 x x) y) (fma.f64 y y y))))) (fma.f64 (*.f64 (*.f64 (*.f64 x x) y) (fma.f64 y y y)) (-.f64 (*.f64 (*.f64 (*.f64 x x) y) (fma.f64 y y y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (*.f64 x y))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (*.f64 x y)) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) y)) x))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (fma.f64 x y x) (*.f64 (*.f64 (*.f64 x x) y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (fma.f64 x y x) (*.f64 (*.f64 (*.f64 x x) y) y)))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (fma.f64 x y x) (*.f64 (*.f64 (*.f64 x x) y) y))) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) x)) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) y)) (*.f64 (fma.f64 x y x) y)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (*.f64 x x))))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 (*.f64 x x) y)) y (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (fma.f64 x y x)) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (fma.f64 x y x)) (*.f64 (*.f64 (*.f64 x x) y) y))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) y)) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) y)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) x) y)) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) y)) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) y))) (*.f64 (fma.f64 x y x) y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) y)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (fma.f64 x y x) (*.f64 (*.f64 (*.f64 x x) y) y))) |
(*.f64 (*.f64 (fma.f64 x y x) #s(literal 1 binary64)) y) |
(*.f64 (/.f64 (*.f64 (fma.f64 x y x) y) (fma.f64 y y y)) (/.f64 (*.f64 (fma.f64 x y x) y) x)) |
(*.f64 (/.f64 (*.f64 (fma.f64 x y x) y) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) (/.f64 (*.f64 (fma.f64 x y x) y) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (fma.f64 x y x) (*.f64 (*.f64 (*.f64 x x) y) y))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x y x) y) (-.f64 #s(literal 1 binary64) y)) (/.f64 (*.f64 (fma.f64 x y x) y) (*.f64 x y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x y x) y) (*.f64 x y)) (/.f64 (*.f64 (fma.f64 x y x) y) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x y x) y) x) (/.f64 (*.f64 (fma.f64 x y x) y) (fma.f64 y y y))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x y x) y) (fma.f64 x y x)) (/.f64 (*.f64 (fma.f64 x y x) y) y)) |
(*.f64 (/.f64 (*.f64 (fma.f64 x y x) y) y) (/.f64 (*.f64 (fma.f64 x y x) y) (fma.f64 x y (neg.f64 x)))) |
(*.f64 (/.f64 (*.f64 (fma.f64 x y x) y) y) (/.f64 (*.f64 (fma.f64 x y x) y) (fma.f64 x y x))) |
(*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) x) y) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 (fma.f64 x y x) y) |
(*.f64 (fma.f64 x y (neg.f64 x)) y) |
(*.f64 (neg.f64 x) (fma.f64 y y y)) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (fma.f64 x y x) (*.f64 (*.f64 (*.f64 x x) y) y))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (/.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (*.f64 x y))) |
(*.f64 (*.f64 (fma.f64 x y x) y) (/.f64 (*.f64 (fma.f64 x y x) y) (*.f64 (fma.f64 x y x) y))) |
(*.f64 (*.f64 (fma.f64 x y x) y) (*.f64 (*.f64 (fma.f64 x y x) y) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)))) |
(*.f64 (*.f64 (fma.f64 x y x) y) #s(literal 1 binary64)) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) y)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y))) |
(*.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) |
(*.f64 (fma.f64 y y y) x) |
(*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (/.f64 (*.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64))) (*.f64 x y))) |
(*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (fma.f64 x y x) (*.f64 (*.f64 (*.f64 x x) y) y)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (fma.f64 x y x) (*.f64 (*.f64 (*.f64 x x) y) y)) (/.f64 (*.f64 (fma.f64 x y x) y) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (fma.f64 x y x) (*.f64 (*.f64 (*.f64 x x) y) y)))) |
(*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (fma.f64 x y x) (*.f64 (*.f64 (*.f64 x x) y) y)) (*.f64 (*.f64 (fma.f64 x y x) y) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (fma.f64 x y x) (*.f64 (*.f64 (*.f64 x x) y) y))))) |
(*.f64 (*.f64 x y) (+.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 x y x) y)) |
(*.f64 x (neg.f64 (fma.f64 y y y))) |
(*.f64 x (fma.f64 y y y)) |
(*.f64 y (*.f64 #s(literal 1 binary64) (fma.f64 x y x))) |
(*.f64 y (*.f64 #s(literal 1 binary64) (fma.f64 x y (neg.f64 x)))) |
(*.f64 y (neg.f64 (fma.f64 x y x))) |
(*.f64 y (neg.f64 (fma.f64 x y (neg.f64 x)))) |
(*.f64 y (fma.f64 x y x)) |
(*.f64 y (fma.f64 x y (neg.f64 x))) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) x) y)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) #s(literal -1 binary64)) |
(/.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) y)) (fma.f64 y y y)) x) |
(/.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) y))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y))) |
(/.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) y)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (fma.f64 x y x) (*.f64 (*.f64 (*.f64 x x) y) y)))) |
(/.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) y)) (fma.f64 x y x)) y) |
(/.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) y)) (*.f64 x y)) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) y)) (-.f64 #s(literal 1 binary64) y)) (*.f64 x y)) |
(/.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) y)) x) (fma.f64 y y y)) |
(/.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) y)) y) (fma.f64 x y x)) |
(/.f64 (/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) y)) y) (fma.f64 x y (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 (*.f64 y y) (fma.f64 y y #s(literal 1 binary64))) x) (fma.f64 y y y)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) x) (fma.f64 (*.f64 y y) (*.f64 y y) (*.f64 y (fma.f64 y y y)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) y))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y))) (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 x x) y) y))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y))) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (fma.f64 x y x) (*.f64 (*.f64 (*.f64 x x) y) y)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (fma.f64 x y x) (*.f64 (*.f64 (*.f64 x x) y) y)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (fma.f64 x y x) (*.f64 (*.f64 (*.f64 x x) y) y)))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (*.f64 x x)))) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64))))) (/.f64 #s(literal -1 binary64) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (fma.f64 x y x) (*.f64 (*.f64 (*.f64 x x) y) y)))) (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) x)) (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (*.f64 x x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (*.f64 x x))))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) (*.f64 x y)) (+.f64 #s(literal -1 binary64) y)) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64))) (*.f64 x y)) (+.f64 (+.f64 #s(literal -1 binary64) (*.f64 y y)) y)) |
(/.f64 (*.f64 (*.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y #s(literal 1 binary64)))) #s(literal 1 binary64)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (fma.f64 x y x) (*.f64 (*.f64 (*.f64 x x) y) y))) |
(/.f64 (*.f64 (*.f64 x y) (+.f64 #s(literal -1 binary64) (*.f64 y y))) (+.f64 #s(literal -1 binary64) y)) |
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(fma.f64 (neg.f64 x) (*.f64 y y) (*.f64 x y)) |
(fma.f64 (neg.f64 x) y (*.f64 (*.f64 y y) x)) |
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 (*.f64 (*.f64 y y) x) (*.f64 (fma.f64 x y x) y)) (neg.f64 (*.f64 (*.f64 x y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 x (*.f64 (fma.f64 x y x) y)) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 (*.f64 x y) (fma.f64 x y x)) (neg.f64 (*.f64 (*.f64 x y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 (*.f64 (*.f64 y y) x) (/.f64 (*.f64 x y) (fma.f64 x y (neg.f64 x))) (neg.f64 (*.f64 (*.f64 x y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal -1 binary64) (*.f64 x y)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64) (*.f64 x y)) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 (fma.f64 x y x) y)) (neg.f64 (*.f64 (*.f64 x y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y x) y)) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) x) (/.f64 y (*.f64 (fma.f64 x y x) y)) (neg.f64 (*.f64 (*.f64 x y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x y x) y)) (neg.f64 (*.f64 (*.f64 x y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) x) (*.f64 x y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 x y) (*.f64 (*.f64 y y) x)) |
(fma.f64 (*.f64 y y) (/.f64 (*.f64 x x) (*.f64 (fma.f64 x y x) y)) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 (*.f64 y y) (neg.f64 x) (*.f64 x y)) |
(fma.f64 (*.f64 y y) (*.f64 (*.f64 x y) (/.f64 x (fma.f64 x y x))) (neg.f64 (*.f64 (*.f64 x y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 (*.f64 y y) x (*.f64 x y)) |
(fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) (neg.f64 (*.f64 (*.f64 x y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (/.f64 (*.f64 y y) (*.f64 (fma.f64 x y x) y)) (neg.f64 (*.f64 (*.f64 x y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 (*.f64 x y) (/.f64 (*.f64 x y) (*.f64 (fma.f64 x y x) y)) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 (*.f64 x y) (/.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (*.f64 (fma.f64 x y x) y)) (neg.f64 (*.f64 (*.f64 x y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 (*.f64 x y) (/.f64 x (fma.f64 x y x)) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 (*.f64 x y) (/.f64 (*.f64 (*.f64 y y) x) (fma.f64 x y x)) (neg.f64 (*.f64 (*.f64 x y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 (*.f64 x y) (/.f64 (*.f64 (*.f64 y y) x) (fma.f64 x y (neg.f64 x))) (neg.f64 (*.f64 (*.f64 x y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 (*.f64 x y) (/.f64 x (fma.f64 x y (neg.f64 x))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 (*.f64 x y) #s(literal -1 binary64) (*.f64 (*.f64 y y) x)) |
(fma.f64 (*.f64 x y) #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) |
(fma.f64 (*.f64 x y) y (*.f64 x y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x) (*.f64 x y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 x y) (*.f64 (*.f64 y y) x)) |
(fma.f64 x (/.f64 (*.f64 (*.f64 y y) x) (*.f64 (fma.f64 x y x) y)) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 x (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) y) (*.f64 (fma.f64 x y x) y)) (neg.f64 (*.f64 (*.f64 x y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 x (*.f64 y y) (*.f64 x y)) |
(fma.f64 x y (*.f64 (*.f64 y y) x)) |
(fma.f64 y (/.f64 (*.f64 (*.f64 x x) y) (*.f64 (fma.f64 x y x) y)) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 y (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) x) (*.f64 (fma.f64 x y x) y)) (neg.f64 (*.f64 (*.f64 x y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 y (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 (*.f64 y y) x)) |
(fma.f64 y (neg.f64 (neg.f64 x)) (*.f64 (*.f64 y y) x)) |
(fma.f64 y (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (fma.f64 x y x)) (neg.f64 (*.f64 (*.f64 x y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 y (/.f64 (*.f64 x x) (fma.f64 x y x)) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 y (/.f64 (*.f64 x x) (fma.f64 x y (neg.f64 x))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 y (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (fma.f64 x y (neg.f64 x))) (neg.f64 (*.f64 (*.f64 x y) (/.f64 x (fma.f64 x y x))))) |
(fma.f64 y (neg.f64 x) (*.f64 (*.f64 y y) x)) |
(fma.f64 y (*.f64 x y) (*.f64 x y)) |
(fma.f64 y x (*.f64 (*.f64 y y) x)) |
(-.f64 (fma.f64 (*.f64 y y) x #s(literal 0 binary64)) (*.f64 x y)) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) x)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (fma.f64 x y x) (*.f64 (*.f64 (*.f64 x x) y) y))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (fma.f64 x y x) (*.f64 (*.f64 (*.f64 x x) y) y)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (*.f64 x x)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (fma.f64 x y x) (*.f64 (*.f64 (*.f64 x x) y) y))) (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) x)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (fma.f64 x y x) (*.f64 (*.f64 (*.f64 x x) y) y)))) |
(-.f64 (*.f64 (*.f64 y y) x) (*.f64 x y)) |
(-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (/.f64 x (fma.f64 x y x))) (*.f64 (*.f64 x y) (/.f64 x (fma.f64 x y x)))) |
(-.f64 (*.f64 (*.f64 x y) (/.f64 x (fma.f64 x y x))) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (/.f64 x (fma.f64 x y x)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 x y x) y)) |
(-.f64 (*.f64 x y) (*.f64 (*.f64 y y) x)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 y y) x) (*.f64 x y)) |
(+.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (/.f64 x (fma.f64 x y x))) (neg.f64 (*.f64 (*.f64 x y) (/.f64 x (fma.f64 x y x))))) |
(+.f64 (*.f64 (*.f64 x y) (/.f64 x (fma.f64 x y x))) (neg.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) (/.f64 x (fma.f64 x y x))))) |
(+.f64 (*.f64 x y) (*.f64 (*.f64 y y) x)) |
(*.f64 #s(literal -1 binary64) (*.f64 y y)) |
(*.f64 (*.f64 y y) #s(literal -1 binary64)) |
(*.f64 (*.f64 y y) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (*.f64 y y)) |
(*.f64 y y) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (*.f64 y y))) (*.f64 y y)) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) #s(literal 0 binary64)) (-.f64 (*.f64 y y) #s(literal 0 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (+.f64 #s(literal 0 binary64) (fma.f64 (*.f64 y y) (*.f64 y y) (*.f64 #s(literal 0 binary64) (*.f64 y y))))) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 #s(literal 0 binary64) (*.f64 y y))))) |
(/.f64 (fma.f64 (*.f64 (*.f64 y y) (*.f64 (*.f64 y y) y)) y #s(literal 0 binary64)) (fma.f64 (*.f64 y y) (*.f64 y y) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) #s(literal 0 binary64))))) |
(/.f64 (*.f64 (*.f64 y y) (*.f64 y y)) (*.f64 y y)) |
(/.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 y y) y) y) |
(neg.f64 (*.f64 y y)) |
(fma.f64 #s(literal -1 binary64) (*.f64 y y) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y y) #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 (*.f64 y y) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y y) #s(literal 0 binary64)) |
(fma.f64 y y #s(literal 0 binary64)) |
(-.f64 #s(literal 0 binary64) (*.f64 y y)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(+.f64 (*.f64 y y) #s(literal 0 binary64)) |
(+.f64 #s(literal 0 binary64) (*.f64 y y)) |
Compiled 27 528 to 1 371 computations (95% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 365 | 5 | 1 370 |
| Fresh | 1 | 1 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 368 | 10 | 1 378 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) |
| ▶ | 86.2% | (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)) |
| ▶ | 99.9% | (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
| ▶ | 62.5% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y))) |
| 22.2% | (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) | |
| ✓ | 99.9% | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | 63.2% | (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| ▶ | 93.7% | #s(approx (+ (* (* (neg y) y) x) (* y x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
| ▶ | 21.4% | #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) |
| ✓ | 58.9% | #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
Compiled 177 to 104 computations (41.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 x y x) | |
| cost-diff | 0 | (*.f64 (fma.f64 x y x) y) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) | |
| cost-diff | 1280 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y))) | |
| cost-diff | 0 | (fma.f64 y y #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) | |
| cost-diff | 0 | #s(approx (+ (* (* (neg y) y) x) (* y x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 x) y) | |
| cost-diff | 0 | #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 1088 | (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
| 1 564× | lower-fma.f32 |
| 1 562× | lower-fma.f64 |
| 1 040× | lower-*.f32 |
| 1 033× | lower-*.f64 |
| 958× | div-sub |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 147 |
| 0 | 46 | 145 |
| 1 | 88 | 139 |
| 2 | 179 | 136 |
| 3 | 372 | 136 |
| 4 | 684 | 136 |
| 5 | 1236 | 136 |
| 6 | 2181 | 136 |
| 7 | 3871 | 136 |
| 8 | 5276 | 136 |
| 9 | 5717 | 136 |
| 10 | 5769 | 136 |
| 11 | 5818 | 136 |
| 12 | 5848 | 136 |
| 13 | 6484 | 136 |
| 14 | 6986 | 136 |
| 15 | 7300 | 136 |
| 16 | 7330 | 136 |
| 17 | 7330 | 136 |
| 18 | 7339 | 136 |
| 19 | 7339 | 136 |
| 20 | 7723 | 136 |
| 0 | 8029 | 136 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 x y) |
x |
y |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
x |
y |
#s(approx (+ (* (* (neg y) y) x) (* y x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y) |
(fma.f64 y y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
x |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y))) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) |
#s(literal -1 binary64) |
(*.f64 (fma.f64 x y x) y) |
(fma.f64 x y x) |
x |
y |
| Outputs |
|---|
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) |
#s(literal 1 binary64) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 x) y) |
(*.f64 (neg.f64 y) x) |
(neg.f64 x) |
x |
y |
#s(approx (+ (* (* (neg y) y) x) (* y x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (/.f64 y (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) x)) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y) |
(fma.f64 (*.f64 y y) y y) |
(fma.f64 y y #s(literal 1 binary64)) |
y |
#s(literal 1 binary64) |
x |
(-.f64 #s(literal 1 binary64) y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y))) |
(*.f64 (fma.f64 y y y) (neg.f64 x)) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y y y) x)) |
#s(literal -1 binary64) |
(*.f64 (fma.f64 x y x) y) |
(*.f64 (fma.f64 y y y) x) |
(fma.f64 x y x) |
(fma.f64 y x x) |
x |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 x y x) | |
| accuracy | 0.0625 | (*.f64 (fma.f64 x y x) y) | |
| accuracy | 0.32202541114846484 | (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) | |
| accuracy | 0.44014091324499144 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y))) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.046875 | (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) | |
| accuracy | 3.0355911126941133 | (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) | |
| accuracy | 4.648176092051232 | (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (*.f64 (-.f64 #s(literal 1 binary64) y) y) | |
| accuracy | 0 | #s(approx (+ (* (* (neg y) y) x) (* y x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) | |
| accuracy | 4.0159620467757575 | (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) | |
| accuracy | 0 | (*.f64 (neg.f64 x) y) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 50.31992382838173 | #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.00390625 | (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.08203125 | (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
| 60.0ms | 256× | 0 | valid |
Compiled 144 to 29 computations (79.9% saved)
ival-mult: 19.0ms (49.9% of total)ival-div: 12.0ms (31.5% of total)ival-add: 3.0ms (7.9% of total)ival-neg: 2.0ms (5.3% of total)ival-sub: 1.0ms (2.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) y) (patch (*.f64 (neg.f64 x) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (* (neg y) y) x) (* y x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) (patch #s(approx (+ (* (* (neg y) y) x) (* y x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) (patch (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) y) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (patch (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) #<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 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) (patch (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 x y x) y) (patch (*.f64 (fma.f64 x y x) y) #<representation binary64>) () ()) |
#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* -1 (* x y)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor inf y) (#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (pow y 2))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ (* -1 x) (/ x y))) (taylor -inf y) (#s(alt (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) (patch (/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.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>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ 1 y))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ 1 (* y (+ 1 y))))) (taylor 0 y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (/ 1 y)) y)) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y) (taylor inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (/ 1 y)) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y)) (taylor -inf y) (#s(alt (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -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 (- 1 y))) (taylor 0 x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) (patch #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* x (* y (+ 1 y))) (taylor 0 x) (#s(alt (*.f64 (fma.f64 x y x) y) (patch (*.f64 (fma.f64 x y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (+ 1 y))) (taylor inf x) (#s(alt (*.f64 (fma.f64 x y x) y) (patch (*.f64 (fma.f64 x y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (+ 1 y))) (taylor inf x) (#s(alt (*.f64 (fma.f64 x y x) y) (patch (*.f64 (fma.f64 x y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (+ 1 y))) (taylor inf x) (#s(alt (*.f64 (fma.f64 x y x) y) (patch (*.f64 (fma.f64 x y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (+ 1 y))) (taylor inf x) (#s(alt (*.f64 (fma.f64 x y x) y) (patch (*.f64 (fma.f64 x y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y (- (* -1 y) 1)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x y x) y) (patch (*.f64 (fma.f64 x y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y (- (* -1 y) 1)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x y x) y) (patch (*.f64 (fma.f64 x y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y (- (* -1 y) 1)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x y x) y) (patch (*.f64 (fma.f64 x y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (* y (- (* -1 y) 1)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 x y x) y) (patch (*.f64 (fma.f64 x y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (*.f64 (fma.f64 x y x) y) (patch (*.f64 (fma.f64 x y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* x y))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 x y x) y) (patch (*.f64 (fma.f64 x y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* x y))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 x y x) y) (patch (*.f64 (fma.f64 x y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (* x y))) (taylor 0 y) (#s(alt (*.f64 (fma.f64 x y x) y) (patch (*.f64 (fma.f64 x y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor inf y) (#s(alt (*.f64 (fma.f64 x y x) y) (patch (*.f64 (fma.f64 x y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x y))) (taylor inf y) (#s(alt (*.f64 (fma.f64 x y x) y) (patch (*.f64 (fma.f64 x y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x y))) (taylor inf y) (#s(alt (*.f64 (fma.f64 x y x) y) (patch (*.f64 (fma.f64 x y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x y))) (taylor inf y) (#s(alt (*.f64 (fma.f64 x y x) y) (patch (*.f64 (fma.f64 x y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (pow y 2)) (taylor -inf y) (#s(alt (*.f64 (fma.f64 x y x) y) (patch (*.f64 (fma.f64 x y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x y))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 x y x) y) (patch (*.f64 (fma.f64 x y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x y))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 x y x) y) (patch (*.f64 (fma.f64 x y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* (pow y 2) (+ x (/ x y))) (taylor -inf y) (#s(alt (*.f64 (fma.f64 x y x) y) (patch (*.f64 (fma.f64 x y x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor 0 x) (#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 y)) (taylor inf x) (#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 y) 1))) (taylor -inf x) (#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor inf y) (#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ x y))) (taylor inf y) (#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ x y))) (taylor inf y) (#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ x (/ x y))) (taylor inf y) (#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor -inf y) (#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) (taylor -inf y) (#s(alt (fma.f64 x y x) (patch (fma.f64 x y x) #<representation binary64>) () ())) ()) |
90 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 5.0ms | x | @ | inf | (/ 1 (/ -1 (* (+ (* x y) x) y))) |
| 1.0ms | x | @ | 0 | (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) |
| 1.0ms | x | @ | 0 | (/ 1 (/ -1 (* (+ (* x y) x) y))) |
| 1.0ms | x | @ | -inf | (/ 1 (/ -1 (* (+ (* x y) x) y))) |
| 0.0ms | x | @ | -inf | (/ -1 (* (+ (* x y) x) y)) |
| 1× | egg-herbie |
| 14 506× | lower-fma.f64 |
| 14 506× | lower-fma.f32 |
| 2 169× | lower-*.f64 |
| 2 169× | lower-*.f32 |
| 1 188× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 175 | 2517 |
| 1 | 595 | 2384 |
| 2 | 1623 | 2272 |
| 3 | 6746 | 2268 |
| 0 | 8594 | 2193 |
| 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 (* -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) |
(* 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))) |
(+ 1 (* y (+ 1 (* y (+ 1 y))))) |
(/ -1 y) |
(* -1 (/ (+ 1 (/ 1 y)) y)) |
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y) |
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y) |
(/ -1 y) |
(* -1 (/ (+ 1 (/ 1 y)) y)) |
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) 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 (- 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 (* -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))) |
(* -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) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 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 (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)))) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(* x y) |
(* 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))) |
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)) |
(* x y) |
(* y (+ x (* x y))) |
(* y (+ x (* y (- (* y (- x (* -1 x))) (* -1 x))))) |
(* y (+ x (* y (- (* y (- (+ x (* y (- x (* -1 x)))) (* -1 x))) (* -1 x))))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(* (pow y 2) (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (+ (/ x y) (/ x (pow y 2))))) |
(* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 3))))) (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3)))))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ (- (+ x (/ x y)) (* -1 (/ x y))) y)))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (- x (* -1 x))) (* -1 (/ x y))) (/ x y)) y))) y)))) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(* x y) |
(* y (+ x (* x (pow y 2)))) |
(* y (+ x (* x (pow y 2)))) |
(* y (+ x (* x (pow y 2)))) |
(* x (pow y 3)) |
(* (pow y 3) (+ x (/ x (pow y 2)))) |
(* (pow y 3) (+ x (/ x (pow y 2)))) |
(* (pow y 3) (+ x (/ x (pow y 2)))) |
(* x (pow y 3)) |
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x (pow y 2)))))) |
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x (pow y 2)))))) |
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x (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 (+ 1 (pow y 2)))) |
y |
(* y (+ 1 (pow y 2))) |
(* y (+ 1 (pow y 2))) |
(* y (+ 1 (pow y 2))) |
(pow y 3) |
(* (pow y 3) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 3) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 3) (+ 1 (/ 1 (pow y 2)))) |
(pow y 3) |
(* (pow y 3) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 3) (+ 1 (/ 1 (pow y 2)))) |
(* (pow y 3) (+ 1 (/ 1 (pow y 2)))) |
1 |
(+ 1 (pow y 2)) |
(+ 1 (pow y 2)) |
(+ 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)))) |
(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 (* x (* y (+ 1 y)))) |
(* -1 (* x (* y (+ 1 y)))) |
(* -1 (* x (* y (+ 1 y)))) |
(* -1 (* x (* y (+ 1 y)))) |
(* -1 (* x (* y (+ 1 y)))) |
(* -1 (* x (* y (+ 1 y)))) |
(* -1 (* x (* y (+ 1 y)))) |
(* -1 (* x (* y (+ 1 y)))) |
(* x (* y (- (* -1 y) 1))) |
(* x (* y (- (* -1 y) 1))) |
(* x (* y (- (* -1 y) 1))) |
(* x (* y (- (* -1 y) 1))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (* -1 (* x y)))) |
(* y (+ (* -1 x) (* -1 (* x y)))) |
(* y (+ (* -1 x) (* -1 (* x y)))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(/ -1 (* x (* y (+ 1 y)))) |
(/ -1 (* x (* y (+ 1 y)))) |
(/ -1 (* x (* y (+ 1 y)))) |
(/ -1 (* x (* y (+ 1 y)))) |
(/ -1 (* x (* y (+ 1 y)))) |
(/ -1 (* x (* y (+ 1 y)))) |
(/ -1 (* x (* y (+ 1 y)))) |
(/ -1 (* x (* y (+ 1 y)))) |
(/ 1 (* x (* y (- (* -1 y) 1)))) |
(/ 1 (* x (* y (- (* -1 y) 1)))) |
(/ 1 (* x (* y (- (* -1 y) 1)))) |
(/ 1 (* x (* y (- (* -1 y) 1)))) |
(/ -1 (* x y)) |
(/ (- (/ y x) (/ 1 x)) y) |
(/ (- (* y (+ (* -1 (/ y x)) (/ 1 x))) (/ 1 x)) y) |
(/ (- (* y (+ (* y (- (/ y x) (/ 1 x))) (/ 1 x))) (/ 1 x)) y) |
(/ -1 (* x (pow y 2))) |
(/ (- (/ 1 (* x y)) (/ 1 x)) (pow y 2)) |
(/ (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 (* x (pow y 2))))) (pow y 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (pow y 3)))) (+ (/ 1 x) (/ 1 (* x (pow y 2))))) (pow y 2)) |
(/ -1 (* x (pow y 2))) |
(/ (- (/ 1 (* x y)) (/ 1 x)) (pow y 2)) |
(/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) (pow y 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) y)) (/ 1 x)) (pow y 2)) |
(* 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 (* x (* y (- (* -1 y) 1)))) |
(* -1 (* x (* y (- (* -1 y) 1)))) |
(* -1 (* x (* y (- (* -1 y) 1)))) |
(* -1 (* x (* y (- (* -1 y) 1)))) |
(* x y) |
(* y (+ x (* x y))) |
(* y (+ x (* x y))) |
(* y (+ x (* x y))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x y))) |
(* (pow y 2) (+ x (/ x y))) |
(* (pow y 2) (+ x (/ x y))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x y))) |
(* (pow y 2) (+ x (/ x y))) |
(* (pow y 2) (+ x (/ x y))) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
x |
(+ x (* x y)) |
(+ x (* x y)) |
(+ x (* x y)) |
(* x y) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
| Outputs |
|---|
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
(* x y) |
(*.f64 y x) |
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 (* y (+ 1 y))) |
(fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ 1 (* y (+ 1 y))))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* -1 (/ (+ 1 (/ 1 y)) y)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y) |
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) |
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) #s(literal 1 binary64)) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* -1 (/ (+ 1 (/ 1 y)) y)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y) |
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 y y)) (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) y) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y)) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) #s(literal 1 binary64)) 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 (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) 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 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (+ y (* -1 (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* -1 (* x (+ (* -1 y) (pow y 2)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
y |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* y (+ 1 (* -1 y))) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (/ 1 y) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* (pow y 2) (- (/ 1 y) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* (pow y 2) (- (/ 1 y) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (/ 1 y) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* (pow y 2) (- (/ 1 y) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* (pow y 2) (- (/ 1 y) 1)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* x y))) |
(*.f64 (fma.f64 y x x) y) |
(* y (+ x (* y (- (* y (- x (* -1 x))) (* -1 x))))) |
(*.f64 (fma.f64 (fma.f64 (+.f64 x x) y x) y x) y) |
(* y (+ x (* y (- (* y (- (+ x (* y (- x (* -1 x)))) (* -1 x))) (* -1 x))))) |
(*.f64 (fma.f64 (fma.f64 (*.f64 (-.f64 y #s(literal -1 binary64)) (+.f64 x x)) y x) y x) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* (pow y 2) (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (+ (/ x y) (/ x (pow y 2))))) |
(fma.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) x (*.f64 (-.f64 #s(literal -1 binary64) y) x)) |
(* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 3))))) (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3)))))) |
(+.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) x (/.f64 (neg.f64 x) y)) (fma.f64 (neg.f64 (fma.f64 y y #s(literal 1 binary64))) x (/.f64 (neg.f64 x) y))) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ (- (+ x (/ x y)) (* -1 (/ x y))) y)))) |
(fma.f64 (fma.f64 #s(literal -2 binary64) (/.f64 x y) (neg.f64 x)) y (*.f64 (*.f64 (neg.f64 y) y) x)) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (- x (* -1 x))) (* -1 (/ x y))) (/ x y)) y))) y)))) |
(fma.f64 (neg.f64 (+.f64 (/.f64 (fma.f64 (/.f64 x y) #s(literal 2 binary64) (+.f64 x x)) y) x)) y (*.f64 (*.f64 (neg.f64 y) y) x)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(*.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 (fma.f64 y y #s(literal 1 binary64)) y)) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* x (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) |
(* y (+ x (* x (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) |
(* y (+ x (* x (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) |
(* x (pow y 3)) |
(*.f64 (*.f64 (*.f64 y y) y) x) |
(* (pow y 3) (+ x (/ x (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) |
(* (pow y 3) (+ x (/ x (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) |
(* (pow y 3) (+ x (/ x (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) |
(* x (pow y 3)) |
(*.f64 (*.f64 (*.f64 y y) y) x) |
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x (pow y 2)))))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) |
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x (pow y 2)))))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) |
(* -1 (* (pow y 3) (+ (* -1 x) (* -1 (/ x (pow y 2)))))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) |
(* x (* y (+ 1 (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) |
(* x (* y (+ 1 (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) |
(* x (* y (+ 1 (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) |
(* x (* y (+ 1 (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) |
(* x (* y (+ 1 (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) |
(* x (* y (+ 1 (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) |
(* x (* y (+ 1 (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) |
(* x (* y (+ 1 (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) |
(* x (* y (+ 1 (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) |
(* x (* y (+ 1 (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) |
(* x (* y (+ 1 (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) |
(* x (* y (+ 1 (pow y 2)))) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) x) y) |
y |
(* y (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y) |
(* y (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y) |
(* y (+ 1 (pow y 2))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y) |
(pow y 3) |
(*.f64 (*.f64 y y) y) |
(* (pow y 3) (+ 1 (/ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y) |
(* (pow y 3) (+ 1 (/ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y) |
(* (pow y 3) (+ 1 (/ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y) |
(pow y 3) |
(*.f64 (*.f64 y y) y) |
(* (pow y 3) (+ 1 (/ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y) |
(* (pow y 3) (+ 1 (/ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y) |
(* (pow y 3) (+ 1 (/ 1 (pow y 2)))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 1 (pow y 2)) |
(fma.f64 y y #s(literal 1 binary64)) |
(+ 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)) |
(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 (* x (* y (+ 1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* -1 (* x (* y (+ 1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* -1 (* x (* y (+ 1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* -1 (* x (* y (+ 1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* -1 (* x (* y (+ 1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* -1 (* x (* y (+ 1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* -1 (* x (* y (+ 1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* -1 (* x (* y (+ 1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* x (* y (- (* -1 y) 1))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* x (* y (- (* -1 y) 1))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* x (* y (- (* -1 y) 1))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* x (* y (- (* -1 y) 1))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* y (+ (* -1 x) (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* y (+ (* -1 x) (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* y (+ (* -1 x) (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(/ -1 (* x (* y (+ 1 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x x) y)) |
(/ -1 (* x (* y (+ 1 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x x) y)) |
(/ -1 (* x (* y (+ 1 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x x) y)) |
(/ -1 (* x (* y (+ 1 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x x) y)) |
(/ -1 (* x (* y (+ 1 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x x) y)) |
(/ -1 (* x (* y (+ 1 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x x) y)) |
(/ -1 (* x (* y (+ 1 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x x) y)) |
(/ -1 (* x (* y (+ 1 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x x) y)) |
(/ 1 (* x (* y (- (* -1 y) 1)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x x) y)) |
(/ 1 (* x (* y (- (* -1 y) 1)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x x) y)) |
(/ 1 (* x (* y (- (* -1 y) 1)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x x) y)) |
(/ 1 (* x (* y (- (* -1 y) 1)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y x x) y)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 y x)) |
(/ (- (/ y x) (/ 1 x)) y) |
(/.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64))) y) |
(/ (- (* y (+ (* -1 (/ y x)) (/ 1 x))) (/ 1 x)) y) |
(-.f64 (neg.f64 (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64)))) (/.f64 #s(literal 1 binary64) (*.f64 y x))) |
(/ (- (* y (+ (* y (- (/ y x) (/ 1 x))) (/ 1 x))) (/ 1 x)) y) |
(/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64)))) y) |
(/ -1 (* x (pow y 2))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) x)) |
(/ (- (/ 1 (* x y)) (/ 1 x)) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (*.f64 y y)) |
(/ (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 (* x (pow y 2))))) (pow y 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (pow y 3)))) (+ (/ 1 x) (/ 1 (* x (pow y 2))))) (pow y 2)) |
(/.f64 (-.f64 (+.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (*.f64 y y))) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(/ -1 (* x (pow y 2))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y y) x)) |
(/ (- (/ 1 (* x y)) (/ 1 x)) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 y x))) (*.f64 y y)) |
(/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) (pow y 2)) |
(/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) (/.f64 #s(literal 1 binary64) x)) (*.f64 y y)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) y)) (/ 1 x)) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y x)) (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x))) (/.f64 #s(literal 1 binary64) x)) y)) (*.f64 y y)) |
(* x (* y (+ 1 y))) |
(*.f64 (fma.f64 y x x) y) |
(* x (* y (+ 1 y))) |
(*.f64 (fma.f64 y x x) y) |
(* x (* y (+ 1 y))) |
(*.f64 (fma.f64 y x x) y) |
(* x (* y (+ 1 y))) |
(*.f64 (fma.f64 y x x) y) |
(* x (* y (+ 1 y))) |
(*.f64 (fma.f64 y x x) y) |
(* x (* y (+ 1 y))) |
(*.f64 (fma.f64 y x x) y) |
(* x (* y (+ 1 y))) |
(*.f64 (fma.f64 y x x) y) |
(* x (* y (+ 1 y))) |
(*.f64 (fma.f64 y x x) y) |
(* -1 (* x (* y (- (* -1 y) 1)))) |
(*.f64 (fma.f64 y x x) y) |
(* -1 (* x (* y (- (* -1 y) 1)))) |
(*.f64 (fma.f64 y x x) y) |
(* -1 (* x (* y (- (* -1 y) 1)))) |
(*.f64 (fma.f64 y x x) y) |
(* -1 (* x (* y (- (* -1 y) 1)))) |
(*.f64 (fma.f64 y x x) y) |
(* x y) |
(*.f64 y x) |
(* y (+ x (* x y))) |
(*.f64 (fma.f64 y x x) y) |
(* y (+ x (* x y))) |
(*.f64 (fma.f64 y x x) y) |
(* y (+ x (* x y))) |
(*.f64 (fma.f64 y x x) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x y))) |
(*.f64 (fma.f64 y x x) y) |
(* (pow y 2) (+ x (/ x y))) |
(*.f64 (fma.f64 y x x) y) |
(* (pow y 2) (+ x (/ x y))) |
(*.f64 (fma.f64 y x x) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x y))) |
(*.f64 (fma.f64 y x x) y) |
(* (pow y 2) (+ x (/ x y))) |
(*.f64 (fma.f64 y x x) y) |
(* (pow y 2) (+ x (/ x y))) |
(*.f64 (fma.f64 y x x) y) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
x |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* x y)) |
(fma.f64 y x x) |
(* x y) |
(*.f64 y x) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(* y (+ x (/ x y))) |
(fma.f64 y x x) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 y x x) |
| 3 775× | lower-fma.f32 |
| 3 773× | lower-fma.f64 |
| 2 648× | lower-*.f32 |
| 2 641× | lower-*.f64 |
| 1 962× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 126 |
| 0 | 46 | 124 |
| 1 | 173 | 115 |
| 2 | 1005 | 115 |
| 0 | 8501 | 115 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(*.f64 x y) |
(/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) |
(*.f64 (neg.f64 x) y) |
(neg.f64 x) |
#s(approx (+ (* (* (neg y) y) x) (* y x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 (-.f64 #s(literal 1 binary64) y) y) |
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) y) |
(fma.f64 y y #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) |
(*.f64 (fma.f64 x y x) y) |
(fma.f64 x y x) |
| Outputs |
|---|
(*.f64 (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) #s(literal 1 binary64)) y) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) y) x)) y) |
(*.f64 (*.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (*.f64 y y) (neg.f64 y) #s(literal 1 binary64)) (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 x x) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 y y) x) (*.f64 (*.f64 y x) (*.f64 (fma.f64 y y y) x))))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (-.f64 y #s(literal 1 binary64))) x)) #s(literal -1/2 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 y (-.f64 y #s(literal 1 binary64))) x)) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (*.f64 y x) (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 (*.f64 y x) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 (/.f64 (*.f64 y x) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 y (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y)))) (/.f64 x (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 y (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)))) (/.f64 x (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
(*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))) |
(*.f64 (/.f64 (neg.f64 x) #s(literal 1 binary64)) (*.f64 y (-.f64 y #s(literal 1 binary64)))) |
(*.f64 (/.f64 x (/.f64 #s(literal -1 binary64) (+.f64 #s(literal -1 binary64) (*.f64 y y)))) (/.f64 y (+.f64 #s(literal 1 binary64) y))) |
(*.f64 (/.f64 x (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)))) (/.f64 y (fma.f64 (+.f64 #s(literal 1 binary64) y) y #s(literal 1 binary64)))) |
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(/.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 x x)) x (pow.f64 (*.f64 (*.f64 y y) x) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 y y) x) x (-.f64 (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 y y) x)) (*.f64 (*.f64 (*.f64 (*.f64 y y) x) y) x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) y)) (neg.f64 (fma.f64 y x (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) y)) (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x))))) |
(/.f64 (neg.f64 (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))))) (neg.f64 (fma.f64 y x (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)))) (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y)))) (fma.f64 (*.f64 x x) (*.f64 y (*.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) y) x))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) y) (fma.f64 y x (neg.f64 x))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) y) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x)))) |
(/.f64 (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) (fma.f64 y x (neg.f64 x))) |
(/.f64 (*.f64 y (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x)))) |
(/.f64 (*.f64 (fma.f64 y y y) x) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 (*.f64 (*.f64 y y) (neg.f64 y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 y y) y))) (neg.f64 (fma.f64 (*.f64 x x) (*.f64 y (*.f64 (fma.f64 y y #s(literal 1 binary64)) y)) (*.f64 (*.f64 (*.f64 (*.f64 (neg.f64 x) y) y) y) x)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64))))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y)) |
(/.f64 (*.f64 (fma.f64 y x x) (neg.f64 y)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)))) (-.f64 (*.f64 (*.f64 y y) x) (*.f64 y x))) |
(/.f64 (*.f64 (*.f64 x x) (*.f64 (*.f64 y y) (fma.f64 y y #s(literal -1 binary64)))) (*.f64 (*.f64 y (-.f64 y #s(literal 1 binary64))) x)) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 y y y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x (neg.f64 x)) (*.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x))) (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y x (neg.f64 x)) (*.f64 y (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x))) (*.f64 y (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) x))) |
(/.f64 y (/.f64 #s(literal 1 binary64) (fma.f64 y x x))) |
(neg.f64 (*.f64 (fma.f64 y x x) (neg.f64 y))) |
(fma.f64 (neg.f64 (neg.f64 x)) y (*.f64 (*.f64 y y) x)) |
(fma.f64 (*.f64 #s(literal 1 binary64) x) y (*.f64 (*.f64 y y) x)) |
(fma.f64 (*.f64 (*.f64 y y) x) #s(literal 1 binary64) (*.f64 y x)) |
(fma.f64 (*.f64 y y) x (*.f64 y x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (*.f64 (neg.f64 x) y) y) (*.f64 y x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y) (*.f64 (*.f64 y y) x)) |
(fma.f64 (*.f64 (neg.f64 y) y) (neg.f64 x) (*.f64 y x)) |
(fma.f64 (neg.f64 y) (*.f64 (neg.f64 x) y) (*.f64 y x)) |
(fma.f64 (neg.f64 y) (neg.f64 x) (*.f64 (*.f64 y y) x)) |
(fma.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64) (*.f64 (*.f64 y y) x)) |
(fma.f64 (*.f64 (neg.f64 x) y) (neg.f64 y) (*.f64 y x)) |
(fma.f64 (neg.f64 x) (*.f64 (neg.f64 y) y) (*.f64 y x)) |
(fma.f64 (neg.f64 x) (neg.f64 y) (*.f64 (*.f64 y y) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) x) (*.f64 y x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) (*.f64 (*.f64 y y) x)) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) (*.f64 (*.f64 y y) x)) |
(fma.f64 (*.f64 y x) y (*.f64 y x)) |
(fma.f64 y (neg.f64 (neg.f64 x)) (*.f64 (*.f64 y y) x)) |
(fma.f64 y (*.f64 y x) (*.f64 y x)) |
(fma.f64 y x (*.f64 (*.f64 y y) x)) |
(fma.f64 x (*.f64 y y) (*.f64 y x)) |
(fma.f64 x y (*.f64 (*.f64 y y) x)) |
(-.f64 #s(literal 0 binary64) (*.f64 (fma.f64 y x x) (neg.f64 y))) |
(-.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 x) y) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 y y y) x))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (*.f64 y y) x) (*.f64 y x)) |
(+.f64 (*.f64 y x) (*.f64 (*.f64 y y) x)) |
(*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (/.f64 #s(literal 1 binary64) (*.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(*.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y x (neg.f64 x))))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (/.f64 #s(literal 1 binary64) (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x)))))) |
(*.f64 (+.f64 #s(literal 1 binary64) y) x) |
(*.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 x)))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 y (-.f64 y #s(literal 1 binary64))))))) |
(*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (/.f64 #s(literal 1 binary64) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x))))) |
(*.f64 #s(literal 1 binary64) (fma.f64 y x x)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (fma.f64 y x (neg.f64 x))) (/.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (fma.f64 y x (neg.f64 x)))) (*.f64 (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))))) (+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (fma.f64 y x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (fma.f64 y x (neg.f64 x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (fma.f64 y x (neg.f64 x))) (/.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (fma.f64 y x (neg.f64 x))) (fma.f64 (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))) (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (fma.f64 y x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x)))) (neg.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))))) (neg.f64 (neg.f64 (fma.f64 y x (neg.f64 x))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)))) (neg.f64 (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x)))))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 x x)) (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 x x)) (fma.f64 y x (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 x x)) x (*.f64 (*.f64 (neg.f64 x) x) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (*.f64 (*.f64 y y) x)) x (*.f64 (*.f64 x x) (fma.f64 x x (*.f64 (*.f64 (*.f64 y y) x) x)))) (fma.f64 y x (neg.f64 x)))) |
(/.f64 (*.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 x x)) x (*.f64 (*.f64 (neg.f64 x) x) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 x x)) x (*.f64 (*.f64 (neg.f64 x) x) x)) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 x x) y)) (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 x x) y))) (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 x x) y)) (*.f64 (*.f64 (*.f64 (*.f64 x x) (*.f64 x x)) (*.f64 x x)) (*.f64 (*.f64 x x) x))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 x x) y)) (*.f64 (*.f64 y y) y)) (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 x x) x) (-.f64 (*.f64 (*.f64 x x) x) (*.f64 (*.f64 (*.f64 y y) x) (*.f64 (*.f64 x x) y))))) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (fma.f64 y x (neg.f64 x))) (*.f64 (fma.f64 y x (neg.f64 x)) (*.f64 x x))) (*.f64 (fma.f64 y x (neg.f64 x)) (fma.f64 y x (neg.f64 x)))) |
(/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))) (*.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x)))) (neg.f64 (fma.f64 y x (neg.f64 x)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (neg.f64 (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 y (-.f64 y #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x))) (neg.f64 (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x))))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 y y) x (neg.f64 x))) (fma.f64 y x (neg.f64 x))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 y (-.f64 y #s(literal 1 binary64)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)) (*.f64 x (fma.f64 x (-.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 y y) x)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (fma.f64 y x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) y)) (*.f64 x (-.f64 x (*.f64 (*.f64 y y) x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x x (*.f64 (*.f64 x x) (*.f64 y (-.f64 y #s(literal 1 binary64))))) (*.f64 (fma.f64 (*.f64 y y) y #s(literal 1 binary64)) (*.f64 (*.f64 x x) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y x x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 y x x))) |
(neg.f64 (neg.f64 (fma.f64 y x x))) |
(fma.f64 (neg.f64 (neg.f64 x)) y x) |
(fma.f64 (*.f64 #s(literal 1 binary64) x) y x) |
(fma.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (/.f64 #s(literal 1 binary64) (fma.f64 y x (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))))) |
(fma.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) y) x) |
(fma.f64 (neg.f64 y) (neg.f64 x) x) |
(fma.f64 (*.f64 (neg.f64 x) y) #s(literal -1 binary64) x) |
(fma.f64 (neg.f64 x) (neg.f64 y) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 y x) x) |
(fma.f64 (*.f64 y x) #s(literal 1 binary64) x) |
(fma.f64 y (neg.f64 (neg.f64 x)) x) |
(fma.f64 y x x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 y x)) |
(fma.f64 x y x) |
(-.f64 (/.f64 (*.f64 x x) (*.f64 x (-.f64 #s(literal 1 binary64) y))) (/.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (*.f64 x (-.f64 #s(literal 1 binary64) y)))) |
(-.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (fma.f64 y x (neg.f64 x))) (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x)))) |
(+.f64 (/.f64 (*.f64 (*.f64 (*.f64 y y) x) x) (fma.f64 y x (neg.f64 x))) (neg.f64 (/.f64 (*.f64 x x) (fma.f64 y x (neg.f64 x))))) |
(+.f64 (*.f64 y x) x) |
(+.f64 x (*.f64 y x)) |
Compiled 34 858 to 3 446 computations (90.1% saved)
12 alts after pruning (6 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 858 | 5 | 1 863 |
| Fresh | 0 | 1 | 1 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 4 | 4 |
| Total | 1 861 | 12 | 1 873 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) |
| ▶ | 72.5% | (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
| ▶ | 63.2% | (/.f64 (*.f64 x y) #s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y))) |
| ▶ | 62.4% | (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 y x x))) |
| ▶ | 63.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* x y) x) (*.f64 y x)) y))) |
| 22.2% | (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) | |
| ✓ | 99.9% | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | 63.2% | (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| ▶ | 57.1% | #s(approx (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
| ✓ | 93.7% | #s(approx (+ (* (* (neg y) y) x) (* y x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
| ✓ | 21.4% | #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) |
| ✓ | 58.9% | #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
Compiled 194 to 118 computations (39.2% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (+ (* x y) x) (*.f64 y x)) | |
| cost-diff | 0 | (*.f64 #s(approx (+ (* x y) x) (*.f64 y x)) y) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* x y) x) (*.f64 y x)) y)) | |
| cost-diff | 1280 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* x y) x) (*.f64 y x)) y))) | |
| cost-diff | 0 | (fma.f64 y x x) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) | |
| cost-diff | 960 | (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 y x x))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | #s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 0 | (/.f64 (*.f64 x y) #s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) y) | |
| cost-diff | 0 | (*.f64 (*.f64 (neg.f64 y) y) x) | |
| cost-diff | 0 | #s(approx (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) | |
| cost-diff | 0 | (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) | |
| cost-diff | 0 | (*.f64 x y) | |
| cost-diff | 1088 | (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| cost-diff | 12224 | (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
| 2 172× | lower-fma.f32 |
| 2 171× | lower-fma.f64 |
| 1 531× | lower-*.f32 |
| 1 526× | lower-*.f64 |
| 1 235× | lower-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 175 |
| 0 | 52 | 169 |
| 1 | 86 | 164 |
| 2 | 169 | 162 |
| 3 | 350 | 161 |
| 4 | 613 | 159 |
| 5 | 983 | 159 |
| 6 | 1928 | 159 |
| 7 | 3767 | 159 |
| 8 | 5356 | 159 |
| 9 | 7339 | 159 |
| 0 | 8019 | 159 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 x y) |
x |
y |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
x |
(/.f64 (*.f64 x y) #s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 x y) |
x |
y |
#s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 y x x))) |
y |
(/.f64 #s(literal -1 binary64) (fma.f64 y x x)) |
#s(literal -1 binary64) |
(fma.f64 y x x) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* x y) x) (*.f64 y x)) y))) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* x y) x) (*.f64 y x)) y)) |
#s(literal -1 binary64) |
(*.f64 #s(approx (+ (* x y) x) (*.f64 y x)) y) |
#s(approx (+ (* x y) x) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
| Outputs |
|---|
(/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 #s(literal -1 binary64) (-.f64 y #s(literal 1 binary64))) |
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
#s(literal -1/2 binary64) |
#s(literal 2 binary64) |
#s(approx (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
y |
x |
(/.f64 (*.f64 x y) #s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 (*.f64 y x) #s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 x y) |
(*.f64 y x) |
x |
y |
#s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
(/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 y x x))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) x) y) |
y |
(/.f64 #s(literal -1 binary64) (fma.f64 y x x)) |
#s(literal -1 binary64) |
(fma.f64 y x x) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* x y) x) (*.f64 y x)) y))) |
(*.f64 (neg.f64 y) #s(approx (+ (* x y) x) (*.f64 y x))) |
#s(literal 1 binary64) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* x y) x) (*.f64 y x)) y)) |
#s(literal -1 binary64) |
(*.f64 #s(approx (+ (* x y) x) (*.f64 y x)) y) |
#s(approx (+ (* x y) x) (*.f64 y x)) |
(*.f64 y x) |
y |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.03515625 | (*.f64 #s(approx (+ (* x y) x) (*.f64 y x)) y) | |
| accuracy | 0.29077541114846484 | (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* x y) x) (*.f64 y x)) y)) | |
| accuracy | 0.40498466324499144 | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* x y) x) (*.f64 y x)) y))) | |
| accuracy | 30.407560146830964 | #s(approx (+ (* x y) x) (*.f64 y x)) | |
| accuracy | 0 | (fma.f64 y x x) | |
| accuracy | 0.04296875 | (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) | |
| accuracy | 0.12890625 | (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 y x x))) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.0390625 | (/.f64 (*.f64 x y) #s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y))) | |
| accuracy | 30.90392168555893 | #s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y)) | |
| accuracy | 0 | (*.f64 (neg.f64 y) y) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 6.437982916390339 | (*.f64 (*.f64 (neg.f64 y) y) x) | |
| accuracy | 23.2760993777336 | #s(approx (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0 | (*.f64 x y) | |
| accuracy | 0.0390625 | (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| accuracy | 0.11328125 | (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
| 57.0ms | 186× | 0 | valid |
| 16.0ms | 70× | 0 | invalid |
Compiled 149 to 32 computations (78.5% saved)
ival-mult: 19.0ms (38.4% of total)ival-div: 14.0ms (28.3% of total)ival-pow2: 5.0ms (10.1% of total)ival-pow: 5.0ms (10.1% of total)ival-add: 3.0ms (6.1% of total)ival-sub: 1.0ms (2% of total)exact: 1.0ms (2% of total)ival-neg: 1.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 x y) (patch (*.f64 x y) #<representation binary64>) () ()) |
#s(alt (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) (patch (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (patch #s(approx (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (neg.f64 y) y) x) (patch (*.f64 (*.f64 (neg.f64 y) y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) y) (patch (*.f64 (neg.f64 y) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x y) #s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y))) (patch (/.f64 (*.f64 x y) #s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y)) (patch #s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 y x x))) (patch (/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 y x x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) (patch (/.f64 #s(literal -1 binary64) (fma.f64 y x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* x y) x) (*.f64 y x)) y))) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* x y) x) (*.f64 y x)) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* x y) x) (*.f64 y x)) y)) (patch (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* x y) x) (*.f64 y x)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* x y) x) (*.f64 y x)) y) (patch (*.f64 #s(approx (+ (* x y) x) (*.f64 y x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x y) x) (*.f64 y x)) (patch #s(approx (+ (* x y) x) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 y) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ 1 y))) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* y (+ 1 (* y (+ 1 y))))) (taylor 0 y) (#s(alt (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor inf y) (#s(alt (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (/ 1 y)) y)) (taylor inf y) (#s(alt (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y) (taylor inf y) (#s(alt (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y) (taylor inf y) (#s(alt (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 y) (taylor -inf y) (#s(alt (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (/ 1 y)) y)) (taylor -inf y) (#s(alt (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) (taylor -inf y) (#s(alt (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y)) (taylor -inf y) (#s(alt (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) (patch (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor 0 x) (#s(alt (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor inf x) (#s(alt (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x (* y (- 1 y))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 y) (#s(alt (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) (patch (/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) #<representation binary64>) () ())) ()) |
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#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>) () ())) ()) |
93 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (pow (- 1 y) -1/2) |
| 0.0ms | y | @ | -inf | (pow (- 1 y) -1/2) |
| 0.0ms | x | @ | -inf | (/ -1 (+ (* y x) x)) |
| 0.0ms | x | @ | 0 | (/ -1 (+ (* y x) x)) |
| 0.0ms | y | @ | inf | (/ -1 y) |
| 1× | egg-herbie |
| 6 871× | lower-fma.f64 |
| 6 871× | lower-fma.f32 |
| 1 873× | lower-*.f64 |
| 1 873× | lower-*.f32 |
| 1 541× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 241 | 2916 |
| 1 | 723 | 2772 |
| 2 | 1938 | 2595 |
| 3 | 6283 | 2567 |
| 0 | 8206 | 2449 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 y) |
(+ 1 (* y (+ 1 y))) |
(+ 1 (* y (+ 1 (* y (+ 1 y))))) |
(/ -1 y) |
(* -1 (/ (+ 1 (/ 1 y)) y)) |
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y) |
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y) |
(/ -1 y) |
(* -1 (/ (+ 1 (/ 1 y)) y)) |
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) 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 (* -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) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
(* x y) |
1 |
(+ 1 (* 1/2 y)) |
(+ 1 (* y (+ 1/2 (* 3/8 y)))) |
(+ 1 (* y (+ 1/2 (* y (+ 3/8 (* 5/16 y)))))) |
(* (sqrt (/ 1 y)) (sqrt -1)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 5))) (/ 1 (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1)))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 5))) (/ 1 (sqrt -1)))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 7))) (/ (+ 1 (* 1/4 (/ y (pow (sqrt -1) 2)))) (sqrt -1)))) (* (sqrt (/ 1 y)) (sqrt -1))))) |
(* (sqrt (/ 1 y)) (sqrt -1)) |
(+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (sqrt -1))) (* (sqrt (/ 1 y)) (sqrt -1))) |
(+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (sqrt -1))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 5))) (sqrt -1))) (* (sqrt (/ 1 y)) (sqrt -1)))) |
(+ (* -1 (/ (+ (* 1/2 (* (sqrt y) (sqrt -1))) (* 1/2 (* (sqrt (/ 1 y)) (* (sqrt -1) (+ 1 (* -1/4 y)))))) (pow y 3))) (+ (* -1/2 (* (sqrt (/ 1 (pow y 3))) (sqrt -1))) (* (sqrt (/ 1 y)) (sqrt -1)))) |
(* x y) |
(* y (+ x (* x y))) |
(* y (+ x (* y (- (* y (- x (* -1 x))) (* -1 x))))) |
(* y (+ x (* y (- (* y (- (+ x (* y (- x (* -1 x)))) (* -1 x))) (* -1 x))))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(* (pow y 2) (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (+ (/ x y) (/ x (pow y 2))))) |
(* (pow y 2) (- (+ (* -1 x) (+ (* -1 (/ x (pow y 2))) (* -1 (/ x (pow y 3))))) (+ (/ x y) (+ (/ x (pow y 2)) (/ x (pow y 3)))))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ (- (+ x (/ x y)) (* -1 (/ x y))) y)))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ (+ x (* -1 (/ (- (+ (* -1 (- x (* -1 x))) (* -1 (/ x y))) (/ x y)) y))) y)))) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(/ (* x (* y (+ 1 (pow y 2)))) (- 1 y)) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (* x (pow y 2))) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -1 (pow y 2)) |
(* -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 (* -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))) |
1 |
(+ 1 y) |
(+ 1 (* y (+ 1 y))) |
(+ 1 (* y (+ 1 (* y (+ 1 y))))) |
(/ -1 y) |
(* -1 (/ (+ 1 (/ 1 y)) y)) |
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y) |
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y) |
(/ -1 y) |
(* -1 (/ (+ 1 (/ 1 y)) y)) |
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (* -1 (* x y)))) |
(* y (+ (* -1 x) (* -1 (* x y)))) |
(* y (+ (* -1 x) (* -1 (* x y)))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(* -1 (* x (* y (+ 1 y)))) |
(* -1 (* x (* y (+ 1 y)))) |
(* -1 (* x (* y (+ 1 y)))) |
(* -1 (* x (* y (+ 1 y)))) |
(* -1 (* x (* y (+ 1 y)))) |
(* -1 (* x (* y (+ 1 y)))) |
(* -1 (* x (* y (+ 1 y)))) |
(* -1 (* x (* y (+ 1 y)))) |
(* x (* y (- (* -1 y) 1))) |
(* x (* y (- (* -1 y) 1))) |
(* x (* y (- (* -1 y) 1))) |
(* x (* y (- (* -1 y) 1))) |
(/ -1 x) |
(- (/ y x) (/ 1 x)) |
(- (* y (+ (* -1 (/ y x)) (/ 1 x))) (/ 1 x)) |
(- (* y (+ (* y (- (/ y x) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
(/ -1 (* x y)) |
(/ (- (/ 1 (* x y)) (/ 1 x)) y) |
(/ (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 (* x (pow y 2))))) y) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (pow y 3)))) (+ (/ 1 x) (/ 1 (* x (pow y 2))))) y) |
(/ -1 (* x y)) |
(* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) |
(* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) (/ 1 x)) y)) |
(/ -1 (* x (+ 1 y))) |
(/ -1 (* x (+ 1 y))) |
(/ -1 (* x (+ 1 y))) |
(/ -1 (* x (+ 1 y))) |
(/ -1 (* x (+ 1 y))) |
(/ -1 (* x (+ 1 y))) |
(/ -1 (* x (+ 1 y))) |
(/ -1 (* x (+ 1 y))) |
(/ 1 (* x (- (* -1 y) 1))) |
(/ 1 (* x (- (* -1 y) 1))) |
(/ 1 (* x (- (* -1 y) 1))) |
(/ 1 (* x (- (* -1 y) 1))) |
x |
(+ x (* x y)) |
(+ x (* x y)) |
(+ x (* x y)) |
(* x y) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (* y (+ 1 y)))) |
(* -1 (* x (* y (+ 1 y)))) |
(* -1 (* x (* y (+ 1 y)))) |
(* -1 (* x (* y (+ 1 y)))) |
(* -1 (* x (* y (+ 1 y)))) |
(* -1 (* x (* y (+ 1 y)))) |
(* -1 (* x (* y (+ 1 y)))) |
(* -1 (* x (* y (+ 1 y)))) |
(* x (* y (- (* -1 y) 1))) |
(* x (* y (- (* -1 y) 1))) |
(* x (* y (- (* -1 y) 1))) |
(* x (* y (- (* -1 y) 1))) |
(* -1 (* x y)) |
(* y (+ (* -1 x) (* -1 (* x y)))) |
(* y (+ (* -1 x) (* -1 (* x y)))) |
(* y (+ (* -1 x) (* -1 (* x y)))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(* -1 (* x (pow y 2))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(/ -1 (* x (* y (+ 1 y)))) |
(/ -1 (* x (* y (+ 1 y)))) |
(/ -1 (* x (* y (+ 1 y)))) |
(/ -1 (* x (* y (+ 1 y)))) |
(/ -1 (* x (* y (+ 1 y)))) |
(/ -1 (* x (* y (+ 1 y)))) |
(/ -1 (* x (* y (+ 1 y)))) |
(/ -1 (* x (* y (+ 1 y)))) |
(/ 1 (* x (* y (- (* -1 y) 1)))) |
(/ 1 (* x (* y (- (* -1 y) 1)))) |
(/ 1 (* x (* y (- (* -1 y) 1)))) |
(/ 1 (* x (* y (- (* -1 y) 1)))) |
(/ -1 (* x y)) |
(/ (- (/ y x) (/ 1 x)) y) |
(/ (- (* y (+ (* -1 (/ y x)) (/ 1 x))) (/ 1 x)) y) |
(/ (- (* y (+ (* y (- (/ y x) (/ 1 x))) (/ 1 x))) (/ 1 x)) y) |
(/ -1 (* x (pow y 2))) |
(/ (- (/ 1 (* x y)) (/ 1 x)) (pow y 2)) |
(/ (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 (* x (pow y 2))))) (pow y 2)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (pow y 3)))) (+ (/ 1 x) (/ 1 (* x (pow y 2))))) (pow y 2)) |
(/ -1 (* x (pow y 2))) |
(/ (- (/ 1 (* x y)) (/ 1 x)) (pow y 2)) |
(/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) (pow y 2)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) y)) (/ 1 x)) (pow y 2)) |
(* 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 (* x (* y (- (* -1 y) 1)))) |
(* -1 (* x (* y (- (* -1 y) 1)))) |
(* -1 (* x (* y (- (* -1 y) 1)))) |
(* -1 (* x (* y (- (* -1 y) 1)))) |
(* x y) |
(* y (+ x (* x y))) |
(* y (+ x (* x y))) |
(* y (+ x (* x y))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x y))) |
(* (pow y 2) (+ x (/ x y))) |
(* (pow y 2) (+ x (/ x y))) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x y))) |
(* (pow y 2) (+ x (/ x y))) |
(* (pow y 2) (+ x (/ x y))) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (* -1 y) 1))) |
x |
(+ x (* x y)) |
(+ x (* x y)) |
(+ x (* x y)) |
(* x y) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 y) |
(-.f64 y #s(literal -1 binary64)) |
(+ 1 (* y (+ 1 y))) |
(fma.f64 (-.f64 y #s(literal -1 binary64)) y #s(literal 1 binary64)) |
(+ 1 (* y (+ 1 (* y (+ 1 y))))) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (-.f64 y #s(literal -1 binary64))) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* -1 (/ (+ 1 (/ 1 y)) y)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y) |
(/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) |
(/ (- (* -1 (/ (+ 1 (/ 1 y)) (pow y 2))) (+ 1 (/ 1 y))) y) |
(/.f64 (-.f64 (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) #s(literal 1 binary64)) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(* -1 (/ (+ 1 (/ 1 y)) y)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y) |
(* -1 (/ (+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) y)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64)) y)) y) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) y)) |
(/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) y)) y)) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x (* y (- 1 y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* y (+ x (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* (pow y 2) (+ (* -1 x) (/ x y))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
(*.f64 x y) |
(* x y) |
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(fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y x) (/.f64 #s(literal -1 binary64) x)) |
(- (* y (+ (* y (- (/ y x) (/ 1 x))) (/ 1 x))) (/ 1 x)) |
(*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64)))) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 x y)) |
(/ (- (/ 1 (* x y)) (/ 1 x)) y) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) y))) |
(/ (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 (* x (pow y 2))))) y) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) y)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) y) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (pow y 3)))) (+ (/ 1 x) (/ 1 (* x (pow y 2))))) y) |
(-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) y))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 x y)) |
(* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) |
(-.f64 (/.f64 #s(literal -1 binary64) (*.f64 x y)) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) y))) |
(* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) y)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) y) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (- (/ 1 x) (/ 1 (* x y))) y)) (/ 1 x)) y)) (/ 1 x)) y)) |
(-.f64 (/.f64 (-.f64 (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x y))) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) y))) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(/ -1 (* x (+ 1 y))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y x)) |
(/ -1 (* x (+ 1 y))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y x)) |
(/ -1 (* x (+ 1 y))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y x)) |
(/ -1 (* x (+ 1 y))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y x)) |
(/ -1 (* x (+ 1 y))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y x)) |
(/ -1 (* x (+ 1 y))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y x)) |
(/ -1 (* x (+ 1 y))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y x)) |
(/ -1 (* x (+ 1 y))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y x)) |
(/ 1 (* x (- (* -1 y) 1))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y x)) |
(/ 1 (* x (- (* -1 y) 1))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y x)) |
(/ 1 (* x (- (* -1 y) 1))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y x)) |
(/ 1 (* x (- (* -1 y) 1))) |
(/.f64 #s(literal -1 binary64) (fma.f64 x y x)) |
x |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ x (* x y)) |
(fma.f64 x y x) |
(* x y) |
(*.f64 x y) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(* x y) |
(*.f64 x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 x y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 x y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 x y x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 x y x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 x y x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 x y x) |
(* -1 (* x (* y (+ 1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* -1 (* x (* y (+ 1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* -1 (* x (* y (+ 1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* -1 (* x (* y (+ 1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* -1 (* x (* y (+ 1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* -1 (* x (* y (+ 1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* -1 (* x (* y (+ 1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* -1 (* x (* y (+ 1 y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* x (* y (- (* -1 y) 1))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* x (* y (- (* -1 y) 1))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* x (* y (- (* -1 y) 1))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* x (* y (- (* -1 y) 1))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* y (+ (* -1 x) (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* y (+ (* -1 x) (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* y (+ (* -1 x) (* -1 (* x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* -1 (* x (pow y 2))) |
(*.f64 (*.f64 (neg.f64 x) y) y) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(* (pow y 2) (+ (* -1 x) (* -1 (/ x y)))) |
(*.f64 (*.f64 (-.f64 #s(literal -1 binary64) y) y) x) |
(/ -1 (* x (* y (+ 1 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) |
(/ -1 (* x (* y (+ 1 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) |
(/ -1 (* x (* y (+ 1 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) |
(/ -1 (* x (* y (+ 1 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) |
(/ -1 (* x (* y (+ 1 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) |
(/ -1 (* x (* y (+ 1 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) |
(/ -1 (* x (* y (+ 1 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) |
(/ -1 (* x (* y (+ 1 y)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) |
(/ 1 (* x (* y (- (* -1 y) 1)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) |
(/ 1 (* x (* y (- (* -1 y) 1)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) |
(/ 1 (* x (* y (- (* -1 y) 1)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) |
(/ 1 (* x (* y (- (* -1 y) 1)))) |
(/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y)) |
(/ -1 (* x y)) |
(/.f64 #s(literal -1 binary64) (*.f64 x y)) |
(/ (- (/ y x) (/ 1 x)) y) |
(-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x y))) |
(/ (- (* y (+ (* -1 (/ y x)) (/ 1 x))) (/ 1 x)) y) |
(/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) y) (/.f64 y x) (/.f64 #s(literal -1 binary64) x)) y) |
(/ (- (* y (+ (* y (- (/ y x) (/ 1 x))) (/ 1 x))) (/ 1 x)) y) |
(/.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) (*.f64 (/.f64 #s(literal 1 binary64) x) (-.f64 y #s(literal 1 binary64)))) y) |
(/ -1 (* x (pow y 2))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) y)) |
(/ (- (/ 1 (* x y)) (/ 1 x)) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 y y)) |
(/ (- (/ 1 (* x y)) (+ (/ 1 x) (/ 1 (* x (pow y 2))))) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) y)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (*.f64 y y)) |
(/ (- (+ (/ 1 (* x y)) (/ 1 (* x (pow y 3)))) (+ (/ 1 x) (/ 1 (* x (pow y 2))))) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) y)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) y)) (*.f64 y y)) |
(/ -1 (* x (pow y 2))) |
(/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) y)) |
(/ (- (/ 1 (* x y)) (/ 1 x)) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 #s(literal -1 binary64) (*.f64 x y))) (*.f64 y y)) |
(/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) y)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) (*.f64 y y)) |
(/ (- (* -1 (/ (- (* -1 (/ (- (/ 1 (* x y)) (/ 1 x)) y)) (/ 1 x)) y)) (/ 1 x)) (pow y 2)) |
(/.f64 (-.f64 (/.f64 #s(literal -1 binary64) x) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 x y) y)) (-.f64 (/.f64 #s(literal 1 binary64) x) (/.f64 #s(literal 1 binary64) (*.f64 x y)))) y)) (*.f64 y y)) |
(* x (* y (+ 1 y))) |
(*.f64 (fma.f64 x y x) y) |
(* x (* y (+ 1 y))) |
(*.f64 (fma.f64 x y x) y) |
(* x (* y (+ 1 y))) |
(*.f64 (fma.f64 x y x) y) |
(* x (* y (+ 1 y))) |
(*.f64 (fma.f64 x y x) y) |
(* x (* y (+ 1 y))) |
(*.f64 (fma.f64 x y x) y) |
(* x (* y (+ 1 y))) |
(*.f64 (fma.f64 x y x) y) |
(* x (* y (+ 1 y))) |
(*.f64 (fma.f64 x y x) y) |
(* x (* y (+ 1 y))) |
(*.f64 (fma.f64 x y x) y) |
(* -1 (* x (* y (- (* -1 y) 1)))) |
(*.f64 (fma.f64 x y x) y) |
(* -1 (* x (* y (- (* -1 y) 1)))) |
(*.f64 (fma.f64 x y x) y) |
(* -1 (* x (* y (- (* -1 y) 1)))) |
(*.f64 (fma.f64 x y x) y) |
(* -1 (* x (* y (- (* -1 y) 1)))) |
(*.f64 (fma.f64 x y x) y) |
(* x y) |
(*.f64 x y) |
(* y (+ x (* x y))) |
(*.f64 (fma.f64 x y x) y) |
(* y (+ x (* x y))) |
(*.f64 (fma.f64 x y x) y) |
(* y (+ x (* x y))) |
(*.f64 (fma.f64 x y x) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* (pow y 2) (+ x (/ x y))) |
(*.f64 (fma.f64 x y x) y) |
(* (pow y 2) (+ x (/ x y))) |
(*.f64 (fma.f64 x y x) y) |
(* (pow y 2) (+ x (/ x y))) |
(*.f64 (fma.f64 x y x) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 x y) y) |
(* (pow y 2) (+ x (/ x y))) |
(*.f64 (fma.f64 x y x) y) |
(* (pow y 2) (+ x (/ x y))) |
(*.f64 (fma.f64 x y x) y) |
(* (pow y 2) (+ x (/ x y))) |
(*.f64 (fma.f64 x y x) y) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* x (+ 1 y)) |
(fma.f64 x y x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 x y x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 x y x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 x y x) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 x y x) |
x |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ x (* x y)) |
(fma.f64 x y x) |
(+ x (* x y)) |
(fma.f64 x y x) |
(* x y) |
(*.f64 x y) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(* y (+ x (/ x y))) |
(fma.f64 x y x) |
(* x y) |
(*.f64 x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 x y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 x y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ x y))))) |
(fma.f64 x y x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(+ 1 (* -1 y)) |
(-.f64 #s(literal 1 binary64) y) |
(* -1 y) |
(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) |
| 2 752× | lower-*.f32 |
| 2 747× | lower-*.f64 |
| 2 487× | lower-fma.f32 |
| 2 486× | lower-fma.f64 |
| 1 844× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 152 |
| 0 | 52 | 142 |
| 1 | 203 | 136 |
| 2 | 1104 | 136 |
| 0 | 8575 | 136 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(*.f64 x y) |
(pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) |
#s(approx (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(*.f64 (*.f64 (neg.f64 y) y) x) |
(*.f64 (neg.f64 y) y) |
(neg.f64 y) |
(/.f64 (*.f64 x y) #s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 y x x))) |
(/.f64 #s(literal -1 binary64) (fma.f64 y x x)) |
(fma.f64 y x x) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* x y) x) (*.f64 y x)) y))) |
(/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* x y) x) (*.f64 y x)) y)) |
(*.f64 #s(approx (+ (* x y) x) (*.f64 y x)) y) |
#s(approx (+ (* x y) x) (*.f64 y x)) |
(-.f64 #s(literal 1 binary64) y) |
| Outputs |
|---|
(*.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/8 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/8 binary64))) |
(*.f64 (*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/4 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3/4 binary64))) |
(*.f64 (neg.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) #s(literal 1 binary64)) (pow.f64 (+.f64 y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) #s(literal 1 binary64)) (pow.f64 (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3/4 binary64)) #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/4 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 y y))) (+.f64 y #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (*.f64 (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y))) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3/4 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/4 binary64)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -3/4 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/4 binary64))) |
(*.f64 (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64))) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)))) |
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(fma.f64 (neg.f64 y) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 y #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 y) #s(literal 1 binary64)) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) #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 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 y #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) y) |
(exp.f64 (*.f64 (log1p.f64 (neg.f64 y)) #s(literal 1 binary64))) |
(exp.f64 (*.f64 (*.f64 (log1p.f64 (neg.f64 y)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (log1p.f64 (neg.f64 y))) |
(+.f64 (/.f64 #s(literal 1 binary64) (+.f64 y #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 y y) (+.f64 y #s(literal 1 binary64))))) |
(+.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 y #s(literal 1 binary64)) y #s(literal 1 binary64))))) |
(+.f64 #s(literal 0 binary64) (-.f64 #s(literal 1 binary64) y)) |
(+.f64 (neg.f64 y) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 y)) |
Compiled 18 280 to 2 387 computations (86.9% saved)
13 alts after pruning (4 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 221 | 3 | 1 224 |
| Fresh | 0 | 1 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 223 | 13 | 1 236 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 99.9% | (fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) |
| 29.6% | (/.f64 (*.f64 x y) (pow.f64 (pow.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| ✓ | 63.2% | (/.f64 (*.f64 x y) #s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y))) |
| 62.4% | (/.f64 y (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))) x)) | |
| 63.2% | (/.f64 y (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) x) (*.f64 x y)))) | |
| ✓ | 63.2% | (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* x y) x) (*.f64 y x)) y))) |
| 22.2% | (*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) | |
| ✓ | 99.9% | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| ✓ | 63.2% | (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| ✓ | 57.1% | #s(approx (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
| ✓ | 93.7% | #s(approx (+ (* (* (neg y) y) x) (* y x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
| ✓ | 21.4% | #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) |
| ✓ | 58.9% | #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
Compiled 342 to 146 computations (57.3% saved)
| Inputs |
|---|
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) |
#s(approx (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (+ (* (* (neg y) y) x) (* y x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) |
(fma.f64 (*.f64 (neg.f64 y) y) x (*.f64 y x)) |
(/.f64 y (/.f64 #s(literal -1 binary64) #s(approx (+ (* y x) x) (*.f64 x y)))) |
(/.f64 (*.f64 x y) #s(approx (/ 1 (- 1 y)) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 y (/.f64 #s(literal -1 binary64) (fma.f64 y x x))) |
(/.f64 (*.f64 x y) (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) y))) |
(/.f64 (*.f64 (*.f64 (fma.f64 y y #s(literal 1 binary64)) y) x) (-.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 #s(approx (+ (* x y) x) (*.f64 y x)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (*.f64 (fma.f64 x y x) y))) |
(/.f64 y (/.f64 (/.f64 #s(literal -1 binary64) (+.f64 y #s(literal 1 binary64))) x)) |
(*.f64 (/.f64 (*.f64 (*.f64 (*.f64 x x) y) y) (*.f64 x y)) #s(approx (- 1 y) (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 y x) (*.f64 (*.f64 (neg.f64 y) x) y)) (-.f64 (*.f64 (*.f64 y x) (*.f64 y x)) (*.f64 (*.f64 (*.f64 y x) y) (*.f64 (*.f64 y x) y))))) |
(/.f64 (*.f64 x y) (pow.f64 (pow.f64 #s(approx (- 1 y) (neg.f64 y)) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
(/.f64 (*.f64 x y) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) y) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
| Outputs |
|---|
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) |
3 calls:
| 22.0ms | y |
| 6.0ms | x |
| 6.0ms | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) |
#s(approx (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (+ (* (* (neg y) y) x) (* y x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) x) y) |
| Outputs |
|---|
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
3 calls:
| 3.0ms | x |
| 3.0ms | y |
| 2.0ms | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 1 | x |
| 99.9% | 1 | y |
| 99.9% | 1 | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) |
#s(approx (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (+ (* (* (neg y) y) x) (* y x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
| Outputs |
|---|
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (+ (* (* (neg y) y) x) (* y x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) |
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
3 calls:
| 3.0ms | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.4% | 2 | x |
| 99.9% | 3 | y |
| 97.7% | 2 | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) |
#s(approx (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| Outputs |
|---|
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
(*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
2 calls:
| 2.0ms | y |
| 2.0ms | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.7% | 2 | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 98.3% | 3 | y |
Compiled 12 to 8 computations (33.3% saved)
| Inputs |
|---|
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) |
#s(approx (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
| Outputs |
|---|
#s(approx (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
#s(approx (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) |
3 calls:
| 2.0ms | y |
| 2.0ms | x |
| 2.0ms | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 84.5% | 2 | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 67.8% | 2 | x |
| 92.1% | 3 | y |
Compiled 15 to 10 computations (33.3% saved)
| Inputs |
|---|
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) |
| Outputs |
|---|
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y)) |
3 calls:
| 2.0ms | y |
| 1.0ms | x |
| 1.0ms | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.9% | 1 | x |
| 58.9% | 1 | (*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 67.4% | 2 | y |
Compiled 15 to 10 computations (33.3% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
| Outputs |
|---|
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
2 calls:
| 1.0ms | y |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.9% | 1 | x |
| 58.9% | 1 | y |
Compiled 6 to 4 computations (33.3% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | predicate-same |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 1.9210053939580577e+73 | 1.2386613392091895e+84 |
| 1.0ms | -1.0962012147562872e+154 | -4.976768527447724e+153 |
| 7.0ms | 176× | 0 | valid |
Compiled 243 to 154 computations (36.6% saved)
ival-mult: 2.0ms (58.3% of total)ival-sub: 1.0ms (29.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.014137400098435787 | 31420.166134104857 |
| 12.0ms | -3893.718122378602 | -5.4203156337891075e-18 |
| 12.0ms | 320× | 0 | valid |
Compiled 352 to 211 computations (40.1% saved)
ival-mult: 4.0ms (67.3% of total)ival-sub: 1.0ms (16.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.014137400098435787 | 31420.166134104857 |
| 1.0ms | -3893.718122378602 | -5.4203156337891075e-18 |
Compiled 352 to 211 computations (40.1% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.014137400098435787 | 31420.166134104857 |
Compiled 147 to 92 computations (37.4% saved)
| 1× | egg-herbie |
| 18× | *-commutative_binary64 |
| 8× | neg-sub0_binary64 |
| 8× | neg-mul-1_binary64 |
| 7× | +-commutative_binary64 |
| 7× | sub-neg_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 198 |
| 1 | 73 | 198 |
| 2 | 90 | 198 |
| 3 | 108 | 198 |
| 4 | 114 | 198 |
| 5 | 116 | 198 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) |
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(if (<=.f64 y #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 y #s(literal 249999999999999980320469973916445685483875812264795962952499556030766037107474432 binary64)) #s(approx (+ (* (* (neg y) y) x) (* y x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))))) |
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #s(approx (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)))) |
(if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))) |
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
| Outputs |
|---|
(fma.f64 y x (*.f64 (*.f64 (neg.f64 y) x) y)) |
(*.f64 (*.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) y) (*.f64 x y)) |
(if (<=.f64 y #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 y #s(literal 249999999999999980320469973916445685483875812264795962952499556030766037107474432 binary64)) #s(approx (+ (* (* (neg y) y) x) (* y x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))))) |
(if (<=.f64 y #s(literal -10000000000000000369475456880582265409809179829842688451922778552150543659347219597216513109705408327446511753687232667314337003349573404171046192448274432 binary64)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 x y)) (if (<=.f64 y #s(literal 249999999999999980320469973916445685483875812264795962952499556030766037107474432 binary64)) #s(approx (+ (* (* (neg y) y) x) (* y x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) y) y) x)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 x y)))) |
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) (*.f64 (*.f64 x y) #s(approx (- 1 y) (neg.f64 y))))) |
(if (<=.f64 y #s(literal -1 binary64)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 x y)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 x y)) (*.f64 #s(approx (- 1 y) (neg.f64 y)) (*.f64 x y)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #s(approx (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (*.f64 (*.f64 (neg.f64 y) y) x)))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (*.f64 (*.f64 y y) (neg.f64 x))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 x y)) #s(approx (/ (* (* (+ (* y y) 1) y) x) (- 1 y)) (*.f64 (*.f64 y y) (neg.f64 x))))) |
(if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 y x)) #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 x) y))) |
(if (<=.f64 y #s(literal 1 binary64)) #s(approx (* (* x y) (- 1 y)) (*.f64 x y)) #s(approx (* (* x y) (- 1 y)) (*.f64 (neg.f64 y) x))) |
#s(approx (* (* x y) (- 1 y)) (*.f64 y x)) |
#s(approx (* (* x y) (- 1 y)) (*.f64 x y)) |
| 14 506× | lower-fma.f64 |
| 14 506× | lower-fma.f32 |
| 3 200× | lower-fma.f64 |
| 3 200× | lower-fma.f32 |
| 2 581× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 82 |
| 0 | 33 | 83 |
| 1 | 103 | 80 |
| 2 | 553 | 80 |
| 3 | 6185 | 72 |
| 0 | 9245 | 67 |
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 30 | 13 |
| 2 | 165 | 13 |
| 3 | 1343 | 13 |
| 0 | 9562 | 12 |
| 0 | 175 | 2517 |
| 1 | 595 | 2384 |
| 2 | 1623 | 2272 |
| 3 | 6746 | 2268 |
| 0 | 8594 | 2193 |
| 0 | 39 | 1570 |
| 1 | 122 | 1444 |
| 2 | 284 | 1444 |
| 3 | 488 | 1444 |
| 4 | 1515 | 1444 |
| 5 | 2807 | 1444 |
| 6 | 3807 | 1444 |
| 7 | 4722 | 1444 |
| 8 | 5509 | 1444 |
| 9 | 5756 | 1444 |
| 10 | 5823 | 1444 |
| 11 | 5880 | 1444 |
| 12 | 6352 | 1444 |
| 13 | 6594 | 1444 |
| 14 | 6780 | 1444 |
| 15 | 6847 | 1444 |
| 16 | 6899 | 1444 |
| 17 | 7005 | 1444 |
| 18 | 7847 | 1444 |
| 0 | 8144 | 1444 |
| 0 | 27 | 266 |
| 1 | 70 | 266 |
| 2 | 165 | 266 |
| 3 | 263 | 266 |
| 4 | 639 | 266 |
| 5 | 2103 | 266 |
| 6 | 4169 | 266 |
| 7 | 5645 | 266 |
| 8 | 6518 | 266 |
| 9 | 7094 | 266 |
| 10 | 7719 | 266 |
| 0 | 8233 | 266 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 226 to 90 computations (60.2% saved)
(negabs x)
Compiled 444 to 162 computations (63.5% saved)
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