
Time bar (total: 6.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 50% | 50% | 0.1% | 0% | 0% | 0% | 4 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 5 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 6 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 7 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 8 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 9 |
| 93.8% | 93.7% | 6.2% | 0.1% | 0% | 0% | 0% | 10 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 11 |
| 96.9% | 96.8% | 3.1% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 937.0ms | 8 256× | 0 | valid |
ival-sub: 310.0ms (68.6% of total)ival-div: 127.0ms (28.1% of total)ival-true: 6.0ms (1.3% of total)exact: 5.0ms (1.1% of total)ival-assert: 3.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) y) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) 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 |
| 39.0ms | 512× | 0 | valid |
Compiled 43 to 22 computations (48.8% saved)
ival-sub: 5.0ms (52% of total)ival-div: 3.0ms (31.2% 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 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 16 | 43 |
| 1 | 51 | 38 |
| 2 | 125 | 36 |
| 3 | 356 | 35 |
| 4 | 800 | 35 |
| 5 | 1265 | 35 |
| 6 | 1477 | 35 |
| 7 | 1555 | 35 |
| 8 | 1613 | 35 |
| 9 | 1626 | 35 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 17 | 7 |
| 2 | 24 | 7 |
| 3 | 39 | 7 |
| 4 | 72 | 7 |
| 5 | 139 | 7 |
| 6 | 318 | 7 |
| 7 | 544 | 7 |
| 8 | 697 | 7 |
| 9 | 713 | 7 |
| 10 | 714 | 7 |
| 0 | 714 | 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)) |
Compiled 7 to 6 computations (14.3% saved)
Compiled 0 to 2 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 7 to 6 computations (14.3% 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)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 17 | 16 |
| 2 | 24 | 16 |
| 3 | 39 | 16 |
| 4 | 72 | 16 |
| 5 | 139 | 16 |
| 6 | 318 | 16 |
| 7 | 544 | 16 |
| 8 | 697 | 16 |
| 9 | 713 | 16 |
| 10 | 714 | 16 |
| 0 | 714 | 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 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.015625 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 41.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-sub: 5.0ms (58.6% of total)ival-div: 3.0ms (35.1% 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 (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 (+ x (* -1 (* y (+ 1 (* -1 x))))) (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 (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (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 (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (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 x (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 y)) (taylor 0 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 (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 (+ (* -1 (/ x y)) (/ 1 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 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (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 (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -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 (* -1 y) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ x y) 1)) (taylor inf y) (#s(alt (-.f64 x y) (patch (-.f64 x 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 (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 (* -1 (/ (- x 1) 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 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) 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 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) 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 y) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ x y))))) (taylor -inf y) (#s(alt (-.f64 x y) (patch (-.f64 x 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 (* -1 (/ 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 (+ (* -1 (/ y (- 1 y))) (/ x (- 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 (+ (* -1 (/ y (- 1 y))) (/ x (- 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 (+ (* -1 (/ y (- 1 y))) (/ x (- 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 (* -1 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 (- 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 (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 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 (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 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 (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 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 (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ y x)))) (taylor inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 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 (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 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 (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 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 (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 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 (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (- x y) (- 1 y)) (- x y) (- 1 y)) |
| 1.0ms | y | @ | inf | ((/ (- x y) (- 1 y)) (- x y) (- 1 y)) |
| 1.0ms | y | @ | -inf | ((/ (- x y) (- 1 y)) (- x y) (- 1 y)) |
| 1.0ms | x | @ | inf | ((/ (- x y) (- 1 y)) (- x y) (- 1 y)) |
| 1.0ms | x | @ | 0 | ((/ (- x y) (- 1 y)) (- x y) (- 1 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 384 |
| 1 | 281 | 358 |
| 2 | 787 | 338 |
| 3 | 2726 | 311 |
| 4 | 7421 | 311 |
| 0 | 8109 | 302 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
| Outputs |
|---|
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (*.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y (+.f64 #s(literal 1 binary64) y))) y x) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x 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 |
#s(literal 1 binary64) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(+.f64 (-.f64 (/.f64 #s(literal 1 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64))) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x y) |
(* y (- (/ x y) 1)) |
(-.f64 x 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 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(fma.f64 (+.f64 (/.f64 #s(literal 1 binary64) y) #s(literal 1 binary64)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (-.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) y)) (/.f64 (-.f64 #s(literal 1 binary64) x) y) (-.f64 x #s(literal 1 binary64))) y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(-.f64 x 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) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(*.f64 (/.f64 #s(literal -1 binary64) (-.f64 #s(literal 1 binary64) y)) (-.f64 y x)) |
x |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 47 | 13 |
| 2 | 356 | 13 |
| 3 | 4967 | 13 |
| 0 | 9356 | 13 |
| 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 |
|---|
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Compiled 10 822 to 1 323 computations (87.8% saved)
7 alts after pruning (7 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 542 | 7 | 549 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 543 | 7 | 550 |
| Status | Accuracy | Program |
|---|---|---|
| 47.3% | (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) | |
| ▶ | 54.3% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) |
| ▶ | 54.2% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
| ▶ | 46.3% | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
| ▶ | 55.6% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| 47.1% | #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) | |
| ▶ | 35.2% | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
Compiled 92 to 86 computations (6.5% saved)
| 1× | egg-herbie |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y y y) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) | |
| cost-diff | 0 | (-.f64 y #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 y (-.f64 y #s(literal 1 binary64))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) | |
| cost-diff | 0 | (-.f64 x #s(literal 1 binary64)) | |
| cost-diff | 0 | (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | (/.f64 x (-.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 119 |
| 0 | 30 | 119 |
| 1 | 53 | 119 |
| 2 | 93 | 119 |
| 3 | 240 | 119 |
| 4 | 497 | 119 |
| 5 | 1219 | 119 |
| 6 | 3156 | 119 |
| 7 | 4412 | 119 |
| 8 | 4770 | 119 |
| 9 | 4911 | 119 |
| 10 | 5004 | 119 |
| 11 | 5040 | 119 |
| 12 | 5040 | 119 |
| 13 | 5040 | 119 |
| 14 | 5040 | 119 |
| 15 | 5182 | 119 |
| 16 | 5215 | 119 |
| 0 | 5215 | 119 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
x |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
y |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
y |
(-.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 y y y) |
y |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
x |
(-.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
y |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
y |
(-.f64 y #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) |
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x) |
(-.f64 x #s(literal 1 binary64)) |
x |
#s(literal 1 binary64) |
(fma.f64 y y y) |
y |
Found 14 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 y y y) | |
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.0078125 | (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) | |
| accuracy | 29.260933597372834 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) | |
| accuracy | 0 | (-.f64 y #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (/.f64 y (-.f64 y #s(literal 1 binary64))) | |
| accuracy | 34.35967865436531 | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) | |
| accuracy | 0 | (-.f64 x #s(literal 1 binary64)) | |
| accuracy | 0.00390625 | (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) | |
| accuracy | 29.327551558296353 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) | |
| accuracy | 41.484118375805984 | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) y) | |
| accuracy | 0.01953125 | (/.f64 x (-.f64 #s(literal 1 binary64) y)) | |
| accuracy | 28.381651941346377 | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| 32.0ms | 256× | 0 | valid |
Compiled 94 to 18 computations (80.9% saved)
ival-sub: 5.0ms (27.5% of total)ival-div: 5.0ms (27.5% of total)ival-mult: 5.0ms (27.5% of total)ival-add: 3.0ms (16.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ()) |
#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 y #s(literal 1 binary64))) (patch (/.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* x y) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) y) (patch (-.f64 #s(literal 1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -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 x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y #s(literal 1 binary64))) (patch (/.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y #s(literal 1 binary64))) (patch (/.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* y (- (* -1 y) 1)) 1)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y #s(literal 1 binary64))) (patch (/.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y #s(literal 1 binary64))) (patch (/.f64 y (-.f64 y #s(literal 1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- y 1) (taylor 0 y) (#s(alt (-.f64 y #s(literal 1 binary64)) (patch (-.f64 y #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ x (* y (- x 1))) 1))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (+ x (* y (- x 1))) 1))) (taylor 0 y) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 y) (#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 y)) (taylor 0 y) (#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 y)) (taylor 0 y) (#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 y)) (taylor 0 y) (#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 x) (* -1 (/ x y))) y) (taylor inf y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) (taylor inf y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) (taylor inf y) (#s(alt (/.f64 x (-.f64 #s(literal 1 binary64) y)) (patch (/.f64 x (-.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 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 (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ x y)) (/ 1 y))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ 1 x) 1))) (taylor -inf x) (#s(alt (-.f64 x #s(literal 1 binary64)) (patch (-.f64 x #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) (patch #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | -inf | ((/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (+ (* y y) y)) |
| 2.0ms | y | @ | inf | ((/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (+ (* y y) y)) |
| 1.0ms | x | @ | inf | ((/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (+ (* y y) y)) |
| 1.0ms | y | @ | -inf | ((/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (+ (* y y) y)) |
| 1.0ms | x | @ | 0 | ((/ (- x y) (- 1 y)) (/ x (- 1 y)) (- 1 y) (/ (- x y) (- 1 y)) (/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ y (- y 1)) (- y 1) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (+ (* y y) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 200 | 2382 |
| 1 | 601 | 2173 |
| 2 | 1747 | 2052 |
| 3 | 6700 | 2016 |
| 0 | 8151 | 1915 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
x |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- x 1))) |
(+ x (* y (- x 1))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(* -1 y) |
(* y (- (* -1 y) 1)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
-1 |
(- y 1) |
(- y 1) |
(- y 1) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
y |
(* y (+ 1 y)) |
(* y (+ 1 y)) |
(* y (+ 1 y)) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(* y (- x 1)) |
(* y (- (+ x (/ x y)) 1)) |
(* y (- (+ x (/ x y)) 1)) |
(* y (- (+ x (/ x y)) 1)) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (/ 1 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
y |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
(* y (- 1 (/ 1 y))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 (/ x y)) |
(* -1 (/ (+ x (/ x y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* y (- x 1)) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
1 |
(+ 1 (/ 1 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
y |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
(* -1 (* y (- (/ 1 y) 1))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1)) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 y) |
(+ (* -1 y) (* x (+ 1 y))) |
(+ (* -1 y) (* x (+ 1 y))) |
(+ (* -1 y) (* x (+ 1 y))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 (+ y (pow y 2))) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 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 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ 1 (+ y (pow y 2)))) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
| Outputs |
|---|
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y x) |
x |
(+ x (* x y)) |
(fma.f64 y x x) |
(+ x (* y (- (* x y) (* -1 x)))) |
(fma.f64 (fma.f64 y y y) x x) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
(fma.f64 (fma.f64 (fma.f64 y y y) x 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) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y x) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x) |
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(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ 1 (+ y (pow y 2)))) |
(fma.f64 (fma.f64 y y y) x x) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) y (fma.f64 y y y)) x x) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) y (fma.f64 y y y)) x x) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) y (fma.f64 y y y)) x x) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) |
(fma.f64 (fma.f64 y y y) x x) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) y (fma.f64 y y y)) x x) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) y (fma.f64 y y y)) x x) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) y (fma.f64 y y y)) x x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 104 |
| 0 | 30 | 104 |
| 1 | 140 | 104 |
| 2 | 1139 | 104 |
| 0 | 8782 | 104 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(-.f64 #s(literal 1 binary64) y) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(-.f64 x #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
(-.f64 y #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x) |
(fma.f64 y y y) |
| Outputs |
|---|
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Compiled 14 303 to 1 999 computations (86% saved)
12 alts after pruning (9 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 771 | 7 | 778 |
| Fresh | 0 | 2 | 2 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 773 | 12 | 785 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 47.3% | (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| ▶ | 53.9% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
| ▶ | 54.4% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
| ✓ | 46.3% | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
| ✓ | 55.6% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| 15.3% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) | |
| 47.1% | #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) | |
| ▶ | 13.3% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
| ▶ | 13.7% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
| 43.2% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) | |
| 42.9% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) | |
| ✓ | 35.2% | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
Compiled 138 to 128 computations (7.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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 | (fma.f64 y y y) | |
| cost-diff | 0 | #s(approx (- x 1) #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) | |
| cost-diff | 0 | (-.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal -1 binary64) y) y) | |
| cost-diff | 0 | #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (/ y (- y 1)) (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) | |
| cost-diff | 0 | #s(approx (- x 1) #s(literal -1 binary64)) | |
| cost-diff | 0 | (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 164 |
| 0 | 37 | 164 |
| 1 | 66 | 164 |
| 2 | 101 | 164 |
| 3 | 168 | 164 |
| 4 | 287 | 164 |
| 5 | 460 | 164 |
| 6 | 817 | 164 |
| 7 | 1489 | 164 |
| 8 | 2019 | 164 |
| 9 | 2708 | 164 |
| 10 | 2730 | 164 |
| 11 | 2733 | 164 |
| 12 | 2733 | 164 |
| 0 | 2733 | 164 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) |
#s(approx (- x 1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ y (- y 1)) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) |
#s(approx (- x 1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 y y y) |
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) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) |
#s(approx (- x 1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ y (- y 1)) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(-.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (fma.f64 y y y) #s(approx (- x 1) #s(literal -1 binary64)) x)) |
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) |
(fma.f64 (fma.f64 y y y) #s(approx (- x 1) #s(literal -1 binary64)) x) |
#s(approx (- x 1) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
(fma.f64 y y y) |
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) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.015625 | (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) | |
| accuracy | 33.59079115366735 | #s(approx (- 1 y) (neg.f64 y)) | |
| accuracy | 0 | (fma.f64 y y y) | |
| accuracy | 0.0078125 | (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) | |
| accuracy | 29.260933597372834 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) | |
| accuracy | 31.568263012334988 | #s(approx (- x 1) #s(literal -1 binary64)) | |
| accuracy | 0 | (-.f64 #s(literal -1 binary64) y) | |
| accuracy | 0.01171875 | (*.f64 (-.f64 #s(literal -1 binary64) y) y) | |
| accuracy | 29.553864811447433 | #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) | |
| accuracy | 34.35967865436531 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 29.18160717098582 | #s(approx (/ y (- y 1)) (neg.f64 y)) | |
| accuracy | 34.35967865436531 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) | |
| accuracy | 0.00390625 | (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) | |
| accuracy | 29.327551558296353 | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) | |
| accuracy | 31.568263012334988 | #s(approx (- x 1) #s(literal -1 binary64)) |
| 42.0ms | 256× | 0 | valid |
Compiled 105 to 21 computations (80% saved)
ival-sub: 9.0ms (30.9% of total)ival-div: 6.0ms (20.6% of total)ival-add: 6.0ms (20.6% of total)ival-mult: 6.0ms (20.6% of total)ival-neg: 1.0ms (3.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ()) |
#s(alt #s(approx (- x 1) #s(literal -1 binary64)) (patch #s(approx (- x 1) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (- y 1)) (neg.f64 y)) (patch #s(approx (/ y (- y 1)) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (patch #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) #<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 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<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>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (patch #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- x 1))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (neg.f64 y)) (patch #s(approx (/ y (- y 1)) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (neg.f64 y)) (patch #s(approx (/ y (- y 1)) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* y (- (* -1 y) 1)) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (neg.f64 y)) (patch #s(approx (/ y (- y 1)) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (neg.f64 y)) (patch #s(approx (/ y (- y 1)) (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (patch #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (patch #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* y (- (* -1 y) 1)) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (patch #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) (taylor 0 y) (#s(alt #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) (patch #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (* -1 y) 1)) (taylor 0 y) (#s(alt (*.f64 (-.f64 #s(literal -1 binary64) y) y) (patch (*.f64 (-.f64 #s(literal -1 binary64) y) y) #<representation binary64>) () ())) ()) |
#s(alt -1 (taylor 0 y) (#s(alt (-.f64 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 y) 1) (taylor 0 y) (#s(alt (-.f64 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 y) 1) (taylor 0 y) (#s(alt (-.f64 #s(literal -1 binary64) y) (patch (-.f64 #s(literal -1 binary64) y) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) (patch (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#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 (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#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 (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#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 (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#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 x (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y x) 1))) (taylor -inf x) (#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | ((/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ y (- y 1)) (neg y) (/ (- x y) (- 1 y)) (/ y (- y 1)) (* (- -1 y) y) (- -1 y) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (+ (* y y) y) (/ (- x y) (- 1 y)) (- x y) (- 1 y)) |
| 1.0ms | y | @ | -inf | ((/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ y (- y 1)) (neg y) (/ (- x y) (- 1 y)) (/ y (- y 1)) (* (- -1 y) y) (- -1 y) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (+ (* y y) y) (/ (- x y) (- 1 y)) (- x y) (- 1 y)) |
| 1.0ms | x | @ | -inf | ((/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ y (- y 1)) (neg y) (/ (- x y) (- 1 y)) (/ y (- y 1)) (* (- -1 y) y) (- -1 y) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (+ (* y y) y) (/ (- x y) (- 1 y)) (- x y) (- 1 y)) |
| 1.0ms | y | @ | 0 | ((/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ y (- y 1)) (neg y) (/ (- x y) (- 1 y)) (/ y (- y 1)) (* (- -1 y) y) (- -1 y) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (+ (* y y) y) (/ (- x y) (- 1 y)) (- x y) (- 1 y)) |
| 1.0ms | x | @ | inf | ((/ (- x y) (- 1 y)) (+ (* (- x 1) y) x) (- x 1) (/ (- x y) (- 1 y)) (/ y (- y 1)) (neg y) (/ (- x y) (- 1 y)) (/ y (- y 1)) (* (- -1 y) y) (- -1 y) (/ (- x y) (- 1 y)) (+ (* (- x 1) (+ (* y y) y)) x) (+ (* y y) y) (/ (- x y) (- 1 y)) (- x y) (- 1 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 2434 |
| 1 | 540 | 2271 |
| 2 | 1588 | 2097 |
| 3 | 6381 | 2054 |
| 0 | 8412 | 1952 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- x 1))) |
(+ x (* y (- x 1))) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(* -1 y) |
(* y (- (* -1 y) 1)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(* -1 y) |
(* y (- (* -1 y) 1)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
(* -1 y) |
(* y (- (* -1 y) 1)) |
(* y (- (* -1 y) 1)) |
(* y (- (* -1 y) 1)) |
-1 |
(- (* -1 y) 1) |
(- (* -1 y) 1) |
(- (* -1 y) 1) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
x |
(+ x (* y (- x 1))) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
(+ x (* y (- (+ x (* y (- x 1))) 1))) |
y |
(* y (+ 1 y)) |
(* y (+ 1 y)) |
(* y (+ 1 y)) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
1 |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
(+ 1 (* -1 y)) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(* y (- x 1)) |
(* y (- (+ x (/ x y)) 1)) |
(* y (- (+ x (/ x y)) 1)) |
(* y (- (+ x (/ x y)) 1)) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (/ 1 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (/ 1 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
(* -1 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ x (+ (/ x y) (/ x (pow y 2)))) (+ 1 (/ 1 y)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
(* y (- (/ 1 y) 1)) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* y (- x 1)) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
(* -1 (* y (+ (* -1 (- x 1)) (* -1 (/ x y))))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
1 |
(+ 1 (/ 1 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
1 |
(+ 1 (/ 1 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
(* -1 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* (pow y 2) (- x 1)) |
(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y)))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1)) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1)) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 y) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (* y (- 1 (/ 1 y)))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 y) |
(+ (* -1 y) (* x (+ 1 y))) |
(+ (* -1 y) (* x (+ 1 y))) |
(+ (* -1 y) (* x (+ 1 y))) |
-1 |
(- x 1) |
(- x 1) |
(- x 1) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 (+ y (pow y 2))) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ 1 y)) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
x |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(* x (- 1 (/ 1 x))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ 1 (+ y (pow y 2)))) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (* -1 y) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(* -1 (* x (- (/ 1 x) 1))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
| Outputs |
|---|
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y x) |
x |
(+ x (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- x 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y x) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1 y) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64)) y) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64)) y #s(literal -1 binary64)) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(fma.f64 (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y x) |
(* -1 y) |
(neg.f64 y) |
(* y (- (* -1 y) 1)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(*.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64)) y) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
(*.f64 (fma.f64 (fma.f64 (-.f64 #s(literal -1 binary64) y) y #s(literal -1 binary64)) y #s(literal -1 binary64)) y) |
(* -1 y) |
(neg.f64 y) |
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(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
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(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x) |
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(fma.f64 y y y) |
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(fma.f64 y y y) |
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(fma.f64 y y y) |
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(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
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(fma.f64 (fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) (-.f64 x #s(literal 1 binary64))) y x) |
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(pow y 2) |
(*.f64 y y) |
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(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
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(neg.f64 y) |
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(neg.f64 y) |
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#s(literal 1 binary64) |
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(*.f64 (-.f64 x #s(literal 1 binary64)) y) |
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(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
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(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
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(* (pow y 2) (- (+ x (/ x y)) (+ 1 (/ 1 y)))) |
(*.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64))) |
(* (pow y 2) (- (+ x (* -1 (/ (+ (* -1 (- x 1)) (* -1 (/ x y))) y))) 1)) |
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x) |
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(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x) |
(+ (* -1 (+ y (pow y 2))) (* x (+ 1 (+ y (pow y 2))))) |
(fma.f64 (fma.f64 y y y) (-.f64 x #s(literal 1 binary64)) x) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ 1 y)) |
(fma.f64 y x x) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* x (+ 1 (+ y (* -1 (/ y x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
x |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(* x (- 1 (/ 1 x))) |
(-.f64 x #s(literal 1 binary64)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ 1 (+ y (pow y 2)))) |
(fma.f64 (fma.f64 y y y) x x) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) y (fma.f64 y y y)) x x) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) y (fma.f64 y y y)) x x) |
(* x (+ 1 (+ y (+ (* -1 (/ (+ y (pow y 2)) x)) (pow y 2))))) |
(fma.f64 (fma.f64 (/.f64 (-.f64 #s(literal -1 binary64) y) x) y (fma.f64 y y y)) x x) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(* x (+ 1 (* -1 (/ y x)))) |
(-.f64 x y) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 y) 1))) |
(fma.f64 y x x) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
(* -1 (* x (- (+ (* -1 y) (/ y x)) 1))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
x |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(* -1 (* x (- (/ 1 x) 1))) |
(-.f64 x #s(literal 1 binary64)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) |
(fma.f64 (fma.f64 y y y) x x) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) y) y (/.f64 (fma.f64 y y y) x))) x) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) y) y (/.f64 (fma.f64 y y y) x))) x) |
(* -1 (* x (- (+ (* -1 (+ y (pow y 2))) (+ (/ y x) (/ (pow y 2) x))) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal -1 binary64) y) y (/.f64 (fma.f64 y y y) x))) x) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
(* -1 (* x (- (/ y x) 1))) |
(-.f64 x y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 146 |
| 0 | 37 | 146 |
| 1 | 163 | 146 |
| 2 | 1239 | 146 |
| 0 | 8698 | 146 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x) |
#s(approx (- x 1) #s(literal -1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ y (- y 1)) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(-.f64 #s(literal -1 binary64) y) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
(fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x) |
(fma.f64 y y y) |
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
(-.f64 x y) |
#s(approx (- 1 y) (neg.f64 y)) |
| Outputs |
|---|
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Compiled 11 717 to 1 683 computations (85.6% saved)
13 alts after pruning (6 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 742 | 2 | 744 |
| Fresh | 0 | 4 | 4 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 743 | 13 | 756 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 47.3% | (/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| ✓ | 54.4% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
| ✓ | 46.3% | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
| ✓ | 55.6% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| 15.3% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) | |
| ▶ | 47.1% | #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
| ▶ | 13.3% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) |
| ✓ | 13.3% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
| ▶ | 2.6% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) |
| ✓ | 13.7% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
| ▶ | 43.2% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) |
| ▶ | 42.9% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
| ✓ | 35.2% | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
Compiled 126 to 116 computations (7.9% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 y y y) | |
| cost-diff | 0 | (fma.f64 (fma.f64 y y y) x x) | |
| cost-diff | 0 | #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) | |
| cost-diff | 128 | (fma.f64 (neg.f64 y) y (neg.f64 y)) | |
| cost-diff | 0 | #s(approx (- -1 y) (neg.f64 y)) | |
| cost-diff | 0 | (*.f64 #s(approx (- -1 y) (neg.f64 y)) y) | |
| cost-diff | 0 | #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) | |
| cost-diff | 0 | (fma.f64 y x x) | |
| cost-diff | 0 | #s(approx (/ x (- 1 y)) (fma.f64 y x x)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) x) | |
| cost-diff | 0 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| cost-diff | 0 | (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 209 |
| 0 | 43 | 209 |
| 1 | 76 | 206 |
| 2 | 127 | 206 |
| 3 | 247 | 206 |
| 4 | 414 | 206 |
| 5 | 821 | 206 |
| 6 | 1546 | 206 |
| 7 | 1936 | 206 |
| 8 | 2297 | 206 |
| 9 | 2376 | 206 |
| 10 | 2385 | 206 |
| 11 | 2386 | 206 |
| 0 | 2386 | 206 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
#s(literal -1 binary64) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ x (- 1 y)) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) |
#s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)) |
(*.f64 #s(approx (- -1 y) (neg.f64 y)) y) |
#s(approx (- -1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) |
#s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y))) |
(fma.f64 (neg.f64 y) y (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) |
#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) |
(fma.f64 (fma.f64 y y y) x x) |
(fma.f64 y y y) |
y |
x |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(literal 1 binary64) |
x |
y |
#s(literal -1 binary64) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ x (- 1 y)) (fma.f64 y x x)) |
(fma.f64 y x x) |
y |
x |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) |
#s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)) |
(*.f64 #s(approx (- -1 y) (neg.f64 y)) y) |
#s(approx (- -1 y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y))) |
#s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y)) |
(fma.f64 (neg.f64 y) y (neg.f64 y)) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(neg.f64 y) |
y |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) |
#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) |
(fma.f64 (fma.f64 y y y) x x) |
(fma.f64 y y y) |
y |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (fma.f64 y y y) | |
| accuracy | 2.8334934838157615 | (fma.f64 (fma.f64 y y y) x x) | |
| accuracy | 28.381651941346377 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) | |
| accuracy | 28.98908256572818 | #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) | |
| accuracy | 0 | (fma.f64 (neg.f64 y) y (neg.f64 y)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 29.553864811447433 | #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y))) | |
| accuracy | 34.35967865436531 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (- -1 y) (neg.f64 y)) y) | |
| accuracy | 29.553864811447433 | #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)) | |
| accuracy | 33.56635412035067 | #s(approx (- -1 y) (neg.f64 y)) | |
| accuracy | 34.35967865436531 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) | |
| accuracy | 0 | (fma.f64 y x x) | |
| accuracy | 28.381651941346377 | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) | |
| accuracy | 29.28005115995466 | #s(approx (/ x (- 1 y)) (fma.f64 y x x)) | |
| accuracy | 0 | (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) x) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 #s(literal 1 binary64) x) y) | |
| accuracy | 33.885174676556524 | #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
| 44.0ms | 256× | 0 | valid |
Compiled 120 to 26 computations (78.3% saved)
ival-mult: 8.0ms (28.3% of total)ival-div: 7.0ms (24.7% of total)ival-sub: 7.0ms (24.7% of total)ival-add: 4.0ms (14.1% of total)ival-neg: 1.0ms (3.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) x) (patch (-.f64 #s(literal 1 binary64) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)) (patch #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- -1 y) (neg.f64 y)) y) (patch (*.f64 #s(approx (- -1 y) (neg.f64 y)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- -1 y) (neg.f64 y)) (patch #s(approx (- -1 y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 y) y (neg.f64 y)) (patch (fma.f64 (neg.f64 y) y (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y))) (patch #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 y y y) x x) (patch (fma.f64 (fma.f64 y y y) x x) #<representation binary64>) () ()) |
#s(alt (fma.f64 y y y) (patch (fma.f64 y y y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (patch #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 y) x) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 y) x) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ 1 y) x) y) (taylor 0 y) (#s(alt (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) (patch (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- 1 x) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 #s(literal 1 binary64) x) y) (patch (/.f64 (-.f64 #s(literal 1 binary64) x) y) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* x y) (* -1 x)))) (taylor 0 y) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) (taylor 0 y) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 y x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 y x x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* x y)) (taylor 0 y) (#s(alt (fma.f64 y x x) (patch (fma.f64 y x x) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* y (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) (patch #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- 1 y)) (taylor -inf x) (#s(alt #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) (patch #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y y y) x x) (patch (fma.f64 (fma.f64 y y y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y y y) x x) (patch (fma.f64 (fma.f64 y y y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y y y) x x) (patch (fma.f64 (fma.f64 y y y) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 y y y) x x) (patch (fma.f64 (fma.f64 y y y) x x) #<representation binary64>) () ())) ()) |
6 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (* (- -1 y) y) (- -1 y) (+ (* (neg y) y) (neg y)) (/ (- x y) (- 1 y)) (/ y (- y 1)) (neg y) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y y) y) x) x) (+ (* y y) y)) |
| 2.0ms | x | @ | inf | ((/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (* (- -1 y) y) (- -1 y) (+ (* (neg y) y) (neg y)) (/ (- x y) (- 1 y)) (/ y (- y 1)) (neg y) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y y) y) x) x) (+ (* y y) y)) |
| 2.0ms | x | @ | 0 | ((/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (* (- -1 y) y) (- -1 y) (+ (* (neg y) y) (neg y)) (/ (- x y) (- 1 y)) (/ y (- y 1)) (neg y) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y y) y) x) x) (+ (* y y) y)) |
| 2.0ms | y | @ | -inf | ((/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (* (- -1 y) y) (- -1 y) (+ (* (neg y) y) (neg y)) (/ (- x y) (- 1 y)) (/ y (- y 1)) (neg y) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y y) y) x) x) (+ (* y y) y)) |
| 1.0ms | y | @ | 0 | ((/ (- x y) (- 1 y)) (- (/ (- 1 x) y) -1) (/ (- 1 x) y) (- 1 x) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* y x) x) (/ (- x y) (- 1 y)) (/ y (- y 1)) (* (- -1 y) y) (- -1 y) (+ (* (neg y) y) (neg y)) (/ (- x y) (- 1 y)) (/ y (- y 1)) (neg y) (/ (- x y) (- 1 y)) (/ x (- 1 y)) (+ (* (+ (* y y) y) x) x) (+ (* y y) y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 180 | 2850 |
| 1 | 571 | 2682 |
| 2 | 1543 | 2518 |
| 3 | 5915 | 2518 |
| 0 | 8271 | 2411 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(/ (- 1 x) y) |
(/ (- (+ 1 y) x) y) |
(/ (- (+ 1 y) x) y) |
(/ (- (+ 1 y) x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
x |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
x |
(+ x (* x y)) |
(+ x (* x y)) |
(+ x (* x y)) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(* -1 y) |
(* y (- (* -1 y) 1)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
(* -1 y) |
(* y (- (* -1 y) 1)) |
(* y (- (* -1 y) 1)) |
(* y (- (* -1 y) 1)) |
-1 |
(- (* -1 y) 1) |
(- (* -1 y) 1) |
(- (* -1 y) 1) |
(* -1 y) |
(* y (- (* -1 y) 1)) |
(* y (- (* -1 y) 1)) |
(* y (- (* -1 y) 1)) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(* -1 y) |
(* y (- (* -1 y) 1)) |
(* y (- (* y (- (* -1 y) 1)) 1)) |
(* y (- (* y (- (* y (- (* -1 y) 1)) 1)) 1)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(+ x (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
(+ x (* y (- (* y (- (* -1 (* y (+ 1 (* -1 x)))) (+ 1 (* -1 x)))) (+ 1 (* -1 x))))) |
x |
(+ x (* x y)) |
(+ x (* y (- (* x y) (* -1 x)))) |
(+ x (* y (- (* y (- (* x y) (* -1 x))) (* -1 x)))) |
x |
(+ x (* x y)) |
(+ x (* y (+ x (* x y)))) |
(+ x (* y (+ x (* x y)))) |
y |
(* y (+ 1 y)) |
(* y (+ 1 y)) |
(* y (+ 1 y)) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(- (+ 1 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(* x y) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
(* y (+ x (/ x y))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (/ 1 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
(* -1 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
1 |
(+ 1 (/ 1 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (+ (/ 1 y) (+ (/ 1 (pow y 2)) (/ 1 (pow y 3))))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 2))) (+ (/ 1 y) (/ 1 (pow y 2)))))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (* -1 (/ x (pow y 3))) (+ (/ 1 y) (/ 1 (pow y 3)))))) (* -1 (/ (+ 1 (* -1 x)) (pow y 2)))) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (* -1 (/ x y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 2)))) (/ x y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ x (pow y 3)))) (+ (/ x y) (/ x (pow y 2)))) y) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x y))) |
(* (pow y 2) (+ x (+ (/ x y) (/ x (pow y 2))))) |
(* (pow y 2) (+ x (+ (/ x y) (/ x (pow y 2))))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
1 |
(- (+ 1 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(- (+ 1 (/ 1 y)) (/ x y)) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
(/ (- 1 x) y) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 (/ x y)) |
(* -1 (/ (+ x (/ x y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) 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 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
1 |
(+ 1 (/ 1 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
(* -1 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 y) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (* y (+ 1 (/ 1 y)))) |
(* -1 (pow y 2)) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
1 |
(+ 1 (/ 1 y)) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
1 |
(+ 1 (* -1 (/ (- x 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(* -1 (/ x y)) |
(* -1 (/ (+ x (/ x y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
(* x (pow y 2)) |
(* (pow y 2) (+ x (/ x y))) |
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)))) |
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)))) |
(pow y 2) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ 1 (/ 1 y)) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(/ 1 y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(+ (* -1 (/ x y)) (/ 1 y)) |
1 |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(+ 1 (* -1 x)) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* x (+ 1 y)) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(* -1 (/ y (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(* x (+ 1 (+ y (pow y 2)))) |
(* x (+ 1 (+ y (pow y 2)))) |
(* x (+ 1 (+ y (pow y 2)))) |
(* x (+ 1 (+ y (pow y 2)))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* -1 (/ x y)) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(* -1 (/ x y)) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(* -1 x) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(* x (- (/ 1 x) 1)) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 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 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(* x (+ 1 (+ y (pow y 2)))) |
(* x (+ 1 (+ y (pow y 2)))) |
(* x (+ 1 (+ y (pow y 2)))) |
(* x (+ 1 (+ y (pow y 2)))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(* -1 (/ x y)) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(* -1 (* x (- 1 (/ 1 x)))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 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 (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(/ x (- 1 y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(/ x (- 1 y)) |
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) |
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) |
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) |
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) |
| Outputs |
|---|
x |
(+ x (* -1 (* y (+ 1 (* -1 x))))) |
(fma.f64 (-.f64 x #s(literal 1 binary64)) y x) |
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(*.f64 (neg.f64 y) y) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
(* -1 (* (pow y 2) (+ 1 (/ 1 y)))) |
(*.f64 (-.f64 #s(literal -1 binary64) y) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) x) y) #s(literal -1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) x) y)) #s(literal 1 binary64)) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ 1 y)) |
(/.f64 (-.f64 y #s(literal -1 binary64)) y) |
(+ 1 (+ (/ 1 y) (/ 1 (pow y 2)))) |
(-.f64 (+.f64 (/.f64 (/.f64 #s(literal 1 binary64) y) y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(+ 1 (* -1 (/ (- (* -1 (/ (+ 1 (/ 1 y)) y)) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 #s(literal -1 binary64) (/.f64 (/.f64 (-.f64 y #s(literal -1 binary64)) y) y)) y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
(* -1 y) |
(neg.f64 y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x 1) y))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- 1 x) y))) 1) y))) |
(-.f64 (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) x) y) #s(literal -1 binary64)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ 1 (* -1 (/ (- x 1) y))) x) y))) 1) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 x (/.f64 (-.f64 (/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) x) y)) #s(literal 1 binary64)) y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (/ (+ x (/ x y)) y)) |
(/.f64 (-.f64 (/.f64 (neg.f64 x) y) x) y) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ x y)) x) y))) y)) |
(/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) (neg.f64 y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ x y) (* -1 x)) y)) x) y))) y)) |
(/.f64 (-.f64 (/.f64 (+.f64 (/.f64 (+.f64 (/.f64 x y) x) y) x) (neg.f64 y)) x) y) |
(* x (pow y 2)) |
(*.f64 (*.f64 y y) x) |
(* (pow y 2) (+ x (/ x y))) |
(*.f64 (fma.f64 y y y) x) |
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)))) |
(fma.f64 (fma.f64 y x x) y x) |
(* (pow y 2) (+ x (* -1 (/ (+ (* -1 x) (* -1 (/ x y))) y)))) |
(fma.f64 (fma.f64 y x x) y x) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* (pow y 2) (+ 1 (/ 1 y))) |
(fma.f64 y y y) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ 1 (/ 1 y)) |
(/.f64 (-.f64 y #s(literal -1 binary64)) y) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(+ 1 (+ (* -1 (/ x y)) (/ 1 y))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(+ (* -1 (/ x y)) (/ 1 y)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(+ 1 (* -1 x)) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) 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) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (/ y (- 1 y))) |
(/.f64 y (-.f64 y #s(literal 1 binary64))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(+ (* -1 (/ y (- 1 y))) (/ x (- 1 y))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ 1 (+ y (pow y 2)))) |
(fma.f64 (fma.f64 y x x) y x) |
(* x (+ 1 (+ y (pow y 2)))) |
(fma.f64 (fma.f64 y x x) y x) |
(* x (+ 1 (+ y (pow y 2)))) |
(fma.f64 (fma.f64 y x x) y x) |
(* x (+ 1 (+ y (pow y 2)))) |
(fma.f64 (fma.f64 y x x) y x) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(* x (- (+ (/ 1 x) (/ 1 (* x y))) (/ 1 y))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* x (- (/ 1 (* x y)) (/ 1 y))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(* x (- (/ 1 x) 1)) |
(-.f64 #s(literal 1 binary64) x) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) 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)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* x (+ (* -1 (/ y (* x (- 1 y)))) (/ 1 (- 1 y)))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* x (+ 1 (+ y (pow y 2)))) |
(fma.f64 (fma.f64 y x x) y x) |
(* x (+ 1 (+ y (pow y 2)))) |
(fma.f64 (fma.f64 y x x) y x) |
(* x (+ 1 (+ y (pow y 2)))) |
(fma.f64 (fma.f64 y x x) y x) |
(* x (+ 1 (+ y (pow y 2)))) |
(fma.f64 (fma.f64 y x x) y x) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(* -1 (* x (+ (* -1 (/ (+ 1 (/ 1 y)) x)) (/ 1 y)))) |
(/.f64 (-.f64 (-.f64 y #s(literal -1 binary64)) x) y) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 (* x (- (/ 1 y) (/ 1 (* x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(* -1 (* x (- 1 (/ 1 x)))) |
(-.f64 #s(literal 1 binary64) x) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -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 (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(* -1 (* x (- (/ y (* x (- 1 y))) (/ 1 (- 1 y))))) |
(-.f64 (/.f64 x (-.f64 #s(literal 1 binary64) y)) (/.f64 y (-.f64 #s(literal 1 binary64) y))) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(/ x (- 1 y)) |
(/.f64 x (-.f64 #s(literal 1 binary64) y)) |
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) |
(fma.f64 (fma.f64 y x x) y x) |
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) |
(fma.f64 (fma.f64 y x x) y x) |
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) |
(fma.f64 (fma.f64 y x x) y x) |
(* -1 (* x (- (* -1 (+ y (pow y 2))) 1))) |
(fma.f64 (fma.f64 y x x) y x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 197 |
| 0 | 43 | 199 |
| 1 | 198 | 195 |
| 2 | 1563 | 191 |
| 0 | 8833 | 191 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
(-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 1 binary64) x) y) |
(-.f64 #s(literal 1 binary64) x) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ x (- 1 y)) (fma.f64 y x x)) |
(fma.f64 y x x) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) |
#s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y)) |
(*.f64 #s(approx (- -1 y) (neg.f64 y)) y) |
#s(approx (- -1 y) (neg.f64 y)) |
(fma.f64 (neg.f64 y) y (neg.f64 y)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) |
#s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y))) |
(neg.f64 y) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) |
#s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x)) |
(fma.f64 (fma.f64 y y y) x x) |
(fma.f64 y y y) |
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Compiled 14 128 to 2 402 computations (83% saved)
14 alts after pruning (6 fresh and 8 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 961 | 5 | 966 |
| Fresh | 0 | 1 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 2 | 5 | 7 |
| Total | 965 | 14 | 979 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 54.4% | #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
| ✓ | 46.3% | #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
| ✓ | 55.6% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| 15.3% | #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) | |
| 47.3% | #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) | |
| 3.4% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 y y y))) | |
| ✓ | 2.6% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) |
| 13.3% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 (fma.f64 y y y)))) | |
| ✓ | 13.7% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
| ✓ | 43.2% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) |
| ✓ | 42.9% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
| 43.4% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) | |
| 3.1% | #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x)))) | |
| ✓ | 35.2% | #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
Compiled 235 to 152 computations (35.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 y y y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
3 calls:
| 26.0ms | y |
| 7.0ms | x |
| 7.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 y y y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) |
3 calls:
| 15.0ms | x |
| 6.0ms | y |
| 6.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.7% | 3 | x |
| 99.1% | 3 | y |
| 99.0% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 9 to 10 computations (-11.1% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 y y y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
(/.f64 (-.f64 x y) #s(approx (- 1 y) (neg.f64 y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) |
1 calls:
| 6.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 3 | y |
Compiled 1 to 2 computations (-100% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 y y y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
2 calls:
| 8.0ms | y |
| 5.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 87.2% | 3 | y |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 y y y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
1 calls:
| 5.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.0% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 y y y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) |
1 calls:
| 7.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.6% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 7 to 6 computations (14.3% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 y y y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
2 calls:
| 5.0ms | y |
| 5.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.2% | 4 | y |
| 88.2% | 4 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 y y y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 (neg.f64 y) y (neg.f64 y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 (fma.f64 y y y) x x))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
2 calls:
| 7.0ms | y |
| 5.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.4% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 86.5% | 3 | y |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 y y y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 (fma.f64 y y y)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 (-.f64 #s(literal -1 binary64) y) y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))) |
2 calls:
| 5.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.3% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 86.2% | 3 | y |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 y y y))) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (*.f64 #s(approx (- -1 y) (neg.f64 y)) y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
2 calls:
| 3.0ms | y |
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.2% | 3 | y |
| 86.2% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x)))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (fma.f64 y y y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
2 calls:
| 2.0ms | y |
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.5% | 3 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 75.1% | 3 | y |
Compiled 8 to 8 computations (0% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) #s(approx (+ (* y x) x) (*.f64 y x)))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
3 calls:
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 46.1% | 2 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| 38.7% | 3 | x |
| 45.7% | 3 | y |
Compiled 9 to 10 computations (-11.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
3 calls:
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 35.2% | 1 | x |
| 35.2% | 1 | y |
| 35.2% | 1 | (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
Compiled 9 to 10 computations (-11.1% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 0.347055429931675 | 256644806573.28995 |
| 12.0ms | -583.8122998363098 | -1.8579384654163684e-5 |
| 12.0ms | 304× | 0 | valid |
Compiled 352 to 334 computations (5.1% saved)
ival-sub: 3.0ms (54.4% of total)ival-div: 2.0ms (36.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.347055429931675 | 256644806573.28995 |
| 7.0ms | -583.8122998363098 | -1.8579384654163684e-5 |
| 4.0ms | 96× | 0 | valid |
Compiled 352 to 334 computations (5.1% saved)
ival-sub: 1.0ms (58.6% of total)ival-div: 1.0ms (58.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000001650025079 | 3.3880211745390874 |
| 0.0ms | 0.0002000325978448088 | 0.9982900496445101 |
| 0.0ms | -655.9431947371444 | -3.1264188955743264e-10 |
Compiled 10 to 11 computations (-10% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000001650025079 | 3.3880211745390874 |
| 0.0ms | 0.0002000325978448088 | 0.9982900496445101 |
| 0.0ms | -655.9431947371444 | -3.1264188955743264e-10 |
Compiled 10 to 11 computations (-10% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000001650025079 | 3.3880211745390874 |
| 0.0ms | 0.0002000325978448088 | 0.9982900496445101 |
| 0.0ms | -655.9431947371444 | -3.1264188955743264e-10 |
Compiled 10 to 11 computations (-10% saved)
| 3× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.347055429931675 | 256644806573.28995 |
| 11.0ms | -123043767066.45688 | -583.8122998363098 |
| 61.0ms | -1.4664404021799088e+94 | -3.5743612167837893e+87 |
| 61.0ms | 288× | 0 | valid |
Compiled 289 to 365 computations (-26.3% saved)
ival-sub: 3.0ms (56.3% of total)ival-div: 2.0ms (37.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.347055429931675 | 256644806573.28995 |
| 1.0ms | -583.8122998363098 | -1.8579384654163684e-5 |
Compiled 181 to 239 computations (-32% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0000001650025079 | 3.3880211745390874 |
| 0.0ms | 0.0002000325978448088 | 0.9982900496445101 |
Compiled 10 to 11 computations (-10% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.347055429931675 | 256644806573.28995 |
| 8.0ms | -583.8122998363098 | -1.8579384654163684e-5 |
| 4.0ms | 112× | 0 | valid |
Compiled 162 to 239 computations (-47.5% saved)
ival-sub: 1.0ms (50% of total)ival-div: 1.0ms (50% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 0.347055429931675 | 256644806573.28995 |
| 9.0ms | -1.8579384654163684e-5 | -2.4351711540827037e-7 |
| 4.0ms | 112× | 0 | valid |
Compiled 146 to 198 computations (-35.6% saved)
ival-sub: 1.0ms (49.5% of total)ival-div: 1.0ms (49.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.857903946704292e-5 | 0.0002000325978448088 |
Compiled 10 to 11 computations (-10% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 96 | 675 |
| 1 | 113 | 675 |
| 2 | 128 | 675 |
| 3 | 138 | 675 |
| 4 | 139 | 675 |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))))) |
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -500 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -500 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -500 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 y #s(literal -33000000000000003077869569005522794097479622815695187077811129512668624761396999273578496 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal -600 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))))) |
(if (<=.f64 y #s(literal -98 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -5312662293228351/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 (-.f64 #s(literal 1 binary64) x) y) #s(literal -1 binary64))))) |
(if (<=.f64 y #s(literal -7926335344172073/9007199254740992 binary64)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) #s(approx (/ (- x y) (- 1 y)) (-.f64 (/.f64 #s(approx (- 1 x) (neg.f64 x)) y) #s(literal -1 binary64))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -500 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -500 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 y (-.f64 y #s(literal 1 binary64)))) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal -500 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) (fma.f64 y y y) x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x (-.f64 #s(literal 1 binary64) y)))))) |
(if (<=.f64 y #s(literal -33000000000000003077869569005522794097479622815695187077811129512668624761396999273578496 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal -600 binary64)) #s(approx (/ (- x y) (- 1 y)) (/.f64 x #s(approx (- 1 y) (neg.f64 y)))) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))))) |
(if (<=.f64 y #s(literal -1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 (-.f64 x #s(literal 1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 7378697629483821/18446744073709551616 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (*.f64 (-.f64 #s(literal 1 binary64) y) x))))) |
(if (<=.f64 y #s(literal -98 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) (fma.f64 #s(approx (- x 1) #s(literal -1 binary64)) y x)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))) |
(if (<=.f64 y #s(literal -5312662293228351/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) (if (<=.f64 y #s(literal 1 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ x (- 1 y)) (fma.f64 y x x))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 #s(literal 1 binary64) y)) #s(literal 5902958103587057/295147905179352825856 binary64)) #s(approx (/ (- x y) (- 1 y)) #s(approx (/ y (- y 1)) (neg.f64 y))) #s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64))) |
#s(approx (/ (- x y) (- 1 y)) #s(literal 1 binary64)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 200 | 2382 |
| 1 | 601 | 2173 |
| 2 | 1747 | 2052 |
| 3 | 6700 | 2016 |
| 0 | 8151 | 1915 |
| 0 | 180 | 2850 |
| 1 | 571 | 2682 |
| 2 | 1543 | 2518 |
| 3 | 5915 | 2518 |
| 0 | 8271 | 2411 |
| 0 | 96 | 384 |
| 1 | 281 | 358 |
| 2 | 787 | 338 |
| 3 | 2726 | 311 |
| 4 | 7421 | 311 |
| 0 | 8109 | 302 |
| 0 | 30 | 197 |
| 0 | 43 | 199 |
| 1 | 198 | 195 |
| 2 | 1563 | 191 |
| 0 | 8833 | 191 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 542 to 253 computations (53.3% saved)
Compiled 774 to 188 computations (75.7% saved)
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