
Time bar (total: 6.8s)
| 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 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.1% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.1% | 0% | 0% | 0% | 9 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 10 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 11 |
| 87.5% | 87.4% | 12.5% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 9 to 8 computations (11.1% saved)
| 577.0ms | 8 256× | 0 | valid |
ival-sub: 114.0ms (58.3% of total)ival-div: 72.0ms (36.8% of total)ival-true: 6.0ms (3.1% of total)ival-assert: 3.0ms (1.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 x y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (/.f64 (-.f64 x y) (-.f64 z y)) |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (-.f64 z y) |
| 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 |
| 22.0ms | 512× | 0 | valid |
Compiled 46 to 22 computations (52.2% saved)
ival-sub: 5.0ms (56.2% of total)ival-div: 3.0ms (33.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 328× | times-frac |
| 214× | div-sub |
| 160× | lower-fma.f64 |
| 160× | lower-fma.f32 |
| 153× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 74 |
| 1 | 80 | 68 |
| 2 | 195 | 66 |
| 3 | 547 | 64 |
| 4 | 1322 | 64 |
| 5 | 2221 | 64 |
| 6 | 2379 | 64 |
| 7 | 2485 | 64 |
| 8 | 2561 | 64 |
| 9 | 2578 | 64 |
| 10 | 2578 | 64 |
| 0 | 6 | 7 |
| 0 | 9 | 7 |
| 1 | 15 | 7 |
| 2 | 23 | 7 |
| 3 | 39 | 7 |
| 4 | 74 | 7 |
| 5 | 149 | 7 |
| 6 | 356 | 7 |
| 7 | 593 | 7 |
| 8 | 747 | 7 |
| 9 | 763 | 7 |
| 10 | 764 | 7 |
| 0 | 764 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 z y)) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 z y)) |
Compiled 10 to 6 computations (40% saved)
Compiled 3 to 3 computations (0% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (/.f64 (-.f64 x y) (-.f64 z y)) |
Compiled 10 to 6 computations (40% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 z y) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) (-.f64 z y)) |
| 160× | lower-fma.f64 |
| 160× | lower-fma.f32 |
| 96× | lower-*.f64 |
| 96× | lower-*.f32 |
| 71× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 16 |
| 0 | 9 | 16 |
| 1 | 15 | 16 |
| 2 | 23 | 16 |
| 3 | 39 | 16 |
| 4 | 74 | 16 |
| 5 | 149 | 16 |
| 6 | 356 | 16 |
| 7 | 593 | 16 |
| 8 | 747 | 16 |
| 9 | 763 | 16 |
| 10 | 764 | 16 |
| 0 | 764 | 16 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 z y)) |
(-.f64 x y) |
x |
y |
(-.f64 z y) |
z |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 z y)) |
(-.f64 x y) |
x |
y |
(-.f64 z y) |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x y) (-.f64 z y)) |
| 42.0ms | 256× | 0 | valid |
Compiled 18 to 8 computations (55.6% saved)
ival-div: 32.0ms (91.2% of total)ival-sub: 3.0ms (8.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ y (- z y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- z y))) (/ x (- z y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- z y))) (/ x (- z y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- z y))) (/ x (- z y))) (taylor 0 x) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- z y)) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) (taylor inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3))))) (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) (taylor 0 y) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ z y))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* z (- (* -1 x) (* -1 z))) (pow y 2)))) (* -1 (/ z y))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow z 2) (- (* -1 x) (* -1 z))) (pow y 3)))) (+ (* -1 (/ z y)) (* -1 (/ (* z (- (* -1 x) (* -1 z))) (pow y 2))))) (taylor inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- x z) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ x (/ (* z (- x z)) y)) z) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow z 2) (- x z)) y)) (* z (- x z))) y))) z) y))) (taylor -inf y) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- x y) y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- x y) y)) (* z (- (/ 1 y) (/ x (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x y) z) (taylor inf z) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x (/ (* y (- x y)) z)) y) z) (taylor inf z) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x (/ (* (pow y 2) (- x y)) (pow z 2))) (+ y (* -1 (/ (* y (- x y)) z)))) z) (taylor inf z) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x (/ (* (pow y 3) (- x y)) (pow z 3))) (+ y (+ (* -1 (/ (* y (- x y)) z)) (* -1 (/ (* (pow y 2) (- x y)) (pow z 2)))))) z) (taylor inf z) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x y) z) (taylor -inf z) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (* y (- x y)) z))) z)) (taylor -inf z) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* y (- x y)) (/ (* (pow y 2) (- x y)) z)) z))) z)) (taylor -inf z) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- x y))) (* -1 (/ (* (pow y 3) (- x y)) z))) z)) (* y (- x y))) z))) z)) (taylor -inf z) (#s(alt (/.f64 (-.f64 x y) (-.f64 z y)) (patch (/.f64 (-.f64 x y) (-.f64 z 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 (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 (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>) () ())) ()) |
#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 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 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 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* -1 (/ y z)))) (taylor inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* -1 (/ y z)))) (taylor inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* -1 (/ y z)))) (taylor inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (/ y z) 1))) (taylor -inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (/ y z) 1))) (taylor -inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (/ y z) 1))) (taylor -inf z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 y)) (taylor 0 y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 y)) (taylor 0 y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 y)) (taylor 0 y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ z y) 1)) (taylor inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ z y) 1)) (taylor inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (/ z y) 1)) (taylor inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor -inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ z y))))) (taylor -inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ z y))))) (taylor -inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ 1 (* -1 (/ z y))))) (taylor -inf y) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
21 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | y | @ | inf | (/ (- x y) (- z y)) |
| 1.0ms | x | @ | -inf | (/ (- x y) (- z y)) |
| 1.0ms | x | @ | inf | (/ (- x y) (- z y)) |
| 1.0ms | z | @ | inf | (/ (- x y) (- z y)) |
| 0.0ms | x | @ | 0 | (/ (- x y) (- z y)) |
| 1× | egg-herbie |
| 9 144× | lower-fma.f64 |
| 9 144× | lower-fma.f32 |
| 2 531× | lower-*.f64 |
| 2 531× | lower-*.f32 |
| 1 467× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 833 |
| 1 | 575 | 775 |
| 2 | 1803 | 709 |
| 3 | 7837 | 707 |
| 0 | 8469 | 681 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(/ x (- z y)) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(/ x (- z y)) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(/ x z) |
(+ (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3))))) (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ z y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* z (- (* -1 x) (* -1 z))) (pow y 2)))) (* -1 (/ z y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow z 2) (- (* -1 x) (* -1 z))) (pow y 3)))) (+ (* -1 (/ z y)) (* -1 (/ (* z (- (* -1 x) (* -1 z))) (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (- x z) y))) |
(+ 1 (* -1 (/ (- (+ x (/ (* z (- x z)) y)) z) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow z 2) (- x z)) y)) (* z (- x z))) y))) z) y))) |
(* -1 (/ (- x y) y)) |
(+ (* -1 (/ (- x y) y)) (* z (- (/ 1 y) (/ x (pow y 2))))) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2))))) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2))))) |
(/ (- x y) z) |
(/ (- (+ x (/ (* y (- x y)) z)) y) z) |
(/ (- (+ x (/ (* (pow y 2) (- x y)) (pow z 2))) (+ y (* -1 (/ (* y (- x y)) z)))) z) |
(/ (- (+ x (/ (* (pow y 3) (- x y)) (pow z 3))) (+ y (+ (* -1 (/ (* y (- x y)) z)) (* -1 (/ (* (pow y 2) (- x y)) (pow z 2)))))) z) |
(/ (- x y) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (* y (- x y)) z))) z)) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* y (- x y)) (/ (* (pow y 2) (- x y)) z)) z))) z)) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- x y))) (* -1 (/ (* (pow y 3) (- x y)) z))) z)) (* y (- x y))) z))) z)) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 y) |
(- z y) |
(- z y) |
(- z y) |
z |
(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ 1 (* -1 (/ y z)))) |
z |
(* -1 (* z (- (/ y z) 1))) |
(* -1 (* z (- (/ y z) 1))) |
(* -1 (* z (- (/ y z) 1))) |
z |
(+ z (* -1 y)) |
(+ z (* -1 y)) |
(+ z (* -1 y)) |
(* -1 y) |
(* y (- (/ z y) 1)) |
(* y (- (/ z y) 1)) |
(* y (- (/ z y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
| Outputs |
|---|
(* -1 (/ y (- z y))) |
(/.f64 y (-.f64 y z)) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(fma.f64 (/.f64 y (*.f64 (-.f64 y z) x)) x (/.f64 x (-.f64 z y))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(fma.f64 (/.f64 y (*.f64 (-.f64 y z) x)) x (/.f64 x (-.f64 z y))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(fma.f64 (/.f64 y (*.f64 (-.f64 y z) x)) x (/.f64 x (-.f64 z y))) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(fma.f64 (/.f64 y (*.f64 (-.f64 y z) x)) x (/.f64 x (-.f64 z y))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(fma.f64 (/.f64 y (*.f64 (-.f64 y z) x)) x (/.f64 x (-.f64 z y))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(fma.f64 (/.f64 y (*.f64 (-.f64 y z) x)) x (/.f64 x (-.f64 z y))) |
(/ x z) |
(/.f64 x z) |
(+ (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(fma.f64 (/.f64 x (*.f64 z z)) y (/.f64 (-.f64 x y) z)) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(fma.f64 (-.f64 (/.f64 x (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (*.f64 y y) (fma.f64 (/.f64 x (*.f64 z z)) y (/.f64 (-.f64 x y) z))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3))))) (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(fma.f64 (*.f64 y y) (fma.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z)) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (-.f64 (/.f64 x (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) (fma.f64 (/.f64 x (*.f64 z z)) y (/.f64 (-.f64 x y) z))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ z y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* z (- (* -1 x) (* -1 z))) (pow y 2)))) (* -1 (/ z y))) |
(fma.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 (-.f64 z x) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow z 2) (- (* -1 x) (* -1 z))) (pow y 3)))) (+ (* -1 (/ z y)) (* -1 (/ (* z (- (* -1 x) (* -1 z))) (pow y 2))))) |
(fma.f64 (/.f64 (*.f64 z z) (*.f64 (*.f64 y y) y)) (-.f64 z x) (fma.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (/.f64 (-.f64 z x) y) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(+ 1 (* -1 (/ (- (+ x (/ (* z (- x z)) y)) z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x z) y) z (-.f64 x z)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow z 2) (- x z)) y)) (* z (- x z))) y))) z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x z) (fma.f64 z (/.f64 z y) z)) y) x) z) y)) |
(* -1 (/ (- x y) y)) |
(/.f64 (-.f64 y x) y) |
(+ (* -1 (/ (- x y) y)) (* z (- (/ 1 y) (/ x (pow y 2))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) (*.f64 (neg.f64 z) (/.f64 x (*.f64 y y)))) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 (*.f64 y y) y))) z (/.f64 x (*.f64 (neg.f64 y) y))) z)) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2))))) |
(fma.f64 (*.f64 (-.f64 (/.f64 z y) #s(literal -1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 (*.f64 y y) y)))) (*.f64 z z) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) (*.f64 (neg.f64 z) (/.f64 x (*.f64 y y))))) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(/ (- (+ x (/ (* y (- x y)) z)) y) z) |
(/.f64 (fma.f64 (/.f64 (-.f64 x y) z) y (-.f64 x y)) z) |
(/ (- (+ x (/ (* (pow y 2) (- x y)) (pow z 2))) (+ y (* -1 (/ (* y (- x y)) z)))) z) |
(/.f64 (fma.f64 (/.f64 (-.f64 x y) z) (fma.f64 y (/.f64 y z) y) (-.f64 x y)) z) |
(/ (- (+ x (/ (* (pow y 3) (- x y)) (pow z 3))) (+ y (+ (* -1 (/ (* y (- x y)) z)) (* -1 (/ (* (pow y 2) (- x y)) (pow z 2)))))) z) |
(/.f64 (fma.f64 (/.f64 (-.f64 x y) z) (fma.f64 y (/.f64 y z) y) (fma.f64 y (fma.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 z z) z)) (*.f64 y y) #s(literal -1 binary64)) x)) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (* y (- x y)) z))) z)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x y) z) y (-.f64 x y)) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* y (- x y)) (/ (* (pow y 2) (- x y)) z)) z))) z)) |
(/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x y) (fma.f64 y (/.f64 y z) y)) z) x) y) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- x y))) (* -1 (/ (* (pow y 3) (- x y)) z))) z)) (* y (- x y))) z))) z)) |
(/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (-.f64 x y) y (/.f64 (*.f64 y (*.f64 (-.f64 x y) (fma.f64 y (/.f64 y z) y))) z)) z) x) y) z) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
x |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -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) |
(* -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) |
(- z y) |
(-.f64 z y) |
(- z y) |
(-.f64 z y) |
(- z y) |
(-.f64 z y) |
z |
(* z (+ 1 (* -1 (/ y z)))) |
(fma.f64 (neg.f64 z) (/.f64 y z) z) |
(* z (+ 1 (* -1 (/ y z)))) |
(fma.f64 (neg.f64 z) (/.f64 y z) z) |
(* z (+ 1 (* -1 (/ y z)))) |
(fma.f64 (neg.f64 z) (/.f64 y z) z) |
z |
(* -1 (* z (- (/ y z) 1))) |
(fma.f64 (neg.f64 z) (/.f64 y z) z) |
(* -1 (* z (- (/ y z) 1))) |
(fma.f64 (neg.f64 z) (/.f64 y z) z) |
(* -1 (* z (- (/ y z) 1))) |
(fma.f64 (neg.f64 z) (/.f64 y z) z) |
z |
(+ z (* -1 y)) |
(-.f64 z y) |
(+ z (* -1 y)) |
(-.f64 z y) |
(+ z (* -1 y)) |
(-.f64 z y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ z y) 1)) |
(-.f64 z y) |
(* y (- (/ z y) 1)) |
(-.f64 z y) |
(* y (- (/ z y) 1)) |
(-.f64 z y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(-.f64 z y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(-.f64 z y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(-.f64 z y) |
| 2 653× | lower-*.f64 |
| 2 653× | lower-*.f32 |
| 1 647× | lower-fma.f64 |
| 1 647× | lower-fma.f32 |
| 1 523× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 46 | 13 |
| 2 | 368 | 13 |
| 3 | 5378 | 13 |
| 0 | 8274 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 x y) (-.f64 z y)) |
(-.f64 x y) |
(-.f64 z y) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y z)) (+.f64 y x)) (/.f64 (-.f64 y x) (-.f64 y z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y z)) (+.f64 y x)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (/.f64 y (-.f64 z y)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y z)) (+.f64 y x)) (/.f64 (*.f64 x x) (*.f64 (-.f64 z y) (-.f64 z y)))) (/.f64 (-.f64 y x) (-.f64 y z)))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 y (-.f64 z y)) (*.f64 (/.f64 #s(literal -1 binary64) (-.f64 y z)) (+.f64 y x)) (/.f64 (*.f64 x x) (*.f64 (-.f64 z y) (-.f64 z y)))))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z y) x (*.f64 (-.f64 y z) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (-.f64 z y) (-.f64 z y)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 y z) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 y z) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(*.f64 (pow.f64 (/.f64 (-.f64 z y) (*.f64 (+.f64 y x) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 y x)))) |
(*.f64 (pow.f64 (/.f64 (-.f64 z y) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 y x))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 y x) y (*.f64 x x))))) |
(*.f64 (pow.f64 (/.f64 (+.f64 z y) (-.f64 x y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 z y) (+.f64 z y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (+.f64 z y) y (*.f64 z z)) (-.f64 x y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 z y) (fma.f64 (+.f64 z y) y (*.f64 z z))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 z y)) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z y) y (*.f64 z z))) (/.f64 #s(literal 1 binary64) (+.f64 y x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)) (pow.f64 (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z y) y (*.f64 z z))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 y x) y (*.f64 x x)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y x)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 z y))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 x y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (+.f64 y x) (-.f64 z y)))) |
(*.f64 (pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) #s(literal -1 binary64)) (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 z y)))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 y z))) (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (-.f64 y z))) (*.f64 (+.f64 y x) (-.f64 x y))) (-.f64 x y)) |
(*.f64 (/.f64 (/.f64 (fma.f64 (*.f64 x x) x (*.f64 (*.f64 y y) y)) (-.f64 z y)) (*.f64 (fma.f64 (+.f64 y x) y (*.f64 x x)) (-.f64 (*.f64 x x) (*.f64 (+.f64 y x) y)))) (-.f64 (*.f64 x x) (*.f64 (+.f64 y x) y))) |
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(pow.f64 (/.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 z y) #s(literal 1 binary64)) |
(/.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 y y)) (*.f64 (+.f64 z y) (-.f64 z y))) (/.f64 #s(literal 1 binary64) (+.f64 z y))) (fma.f64 z z (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (+.f64 z y))) (fma.f64 (*.f64 y y) (fma.f64 z z (*.f64 y y)) (*.f64 (*.f64 z z) (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z y) y (*.f64 z z)))) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) y) (*.f64 (*.f64 y y) y))) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z y) y (*.f64 z z)))) (fma.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 z z)) z (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z (/.f64 z (+.f64 z y))) (*.f64 z (/.f64 z (+.f64 z y)))) (*.f64 (*.f64 y (/.f64 y (+.f64 z y))) (*.f64 y (/.f64 y (+.f64 z y))))) (fma.f64 z (/.f64 z (+.f64 z y)) (*.f64 y (/.f64 y (+.f64 z y))))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 (+.f64 z y) y (*.f64 z z))) (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 (+.f64 z y) y (*.f64 z z)))) (*.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 z y) y (*.f64 z z))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 z y) y (*.f64 z z))))) (fma.f64 z (/.f64 (*.f64 z z) (fma.f64 (+.f64 z y) y (*.f64 z z))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 z y) y (*.f64 z z))))) |
(/.f64 (-.f64 (*.f64 y y) (*.f64 z z)) (-.f64 (neg.f64 y) z)) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z (+.f64 z y))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 y (+.f64 z y))) #s(literal 3 binary64))) (fma.f64 (*.f64 z (/.f64 z (+.f64 z y))) (*.f64 z (/.f64 z (+.f64 z y))) (fma.f64 (*.f64 y (/.f64 y (+.f64 z y))) (*.f64 y (/.f64 y (+.f64 z y))) (*.f64 (*.f64 z (/.f64 z (+.f64 z y))) (*.f64 y (/.f64 y (+.f64 z y))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 (+.f64 z y) y (*.f64 z z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 z y) y (*.f64 z z))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 (+.f64 z y) y (*.f64 z z))) (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 (+.f64 z y) y (*.f64 z z))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 z y) y (*.f64 z z))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 z y) y (*.f64 z z))) (*.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 (+.f64 z y) y (*.f64 z z))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 z y) y (*.f64 z z))))))) |
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (neg.f64 (neg.f64 (+.f64 z y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (+.f64 z y)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 z y) y (*.f64 z z)) (-.f64 y z))) (neg.f64 (neg.f64 (fma.f64 (+.f64 z y) y (*.f64 z z))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (+.f64 z y) y (*.f64 z z)) (-.f64 y z))) (fma.f64 (+.f64 z y) y (*.f64 z z))) |
(/.f64 (*.f64 (*.f64 (fma.f64 z z (*.f64 y y)) (*.f64 (+.f64 z y) (-.f64 z y))) #s(literal 1 binary64)) (*.f64 (fma.f64 z z (*.f64 y y)) (+.f64 z y))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) (fma.f64 z z (*.f64 y y)) (*.f64 (*.f64 z z) (*.f64 z z))) (+.f64 z y))) |
(/.f64 (*.f64 (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)) (fma.f64 (+.f64 z y) y (*.f64 z z)))) |
(/.f64 (*.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) y) (*.f64 (*.f64 y y) y))) #s(literal 1 binary64)) (*.f64 (fma.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 z z)) z (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)))) (fma.f64 (+.f64 z y) y (*.f64 z z)))) |
(/.f64 (*.f64 (*.f64 (+.f64 z y) (-.f64 z y)) #s(literal 1 binary64)) (+.f64 z y)) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)) #s(literal 1 binary64)) (fma.f64 (+.f64 z y) y (*.f64 z z))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 z y)) (*.f64 (+.f64 z y) (*.f64 y y))) (*.f64 (+.f64 z y) (+.f64 z y))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z z) z) (fma.f64 (+.f64 z y) y (*.f64 z z))) (*.f64 (fma.f64 (+.f64 z y) y (*.f64 z z)) (*.f64 (*.f64 y y) y))) (*.f64 (fma.f64 (+.f64 z y) y (*.f64 z z)) (fma.f64 (+.f64 z y) y (*.f64 z z)))) |
(/.f64 (*.f64 (fma.f64 z z (*.f64 y y)) (*.f64 (+.f64 z y) (-.f64 z y))) (*.f64 (+.f64 z y) (fma.f64 z z (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 (*.f64 (*.f64 (*.f64 y y) y) (*.f64 y y)) y) (*.f64 (*.f64 y y) y))) (*.f64 (fma.f64 (+.f64 z y) y (*.f64 z z)) (fma.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 z z)) z (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z))) (*.f64 (+.f64 z y) (fma.f64 (*.f64 y y) (fma.f64 z z (*.f64 y y)) (*.f64 (*.f64 z z) (*.f64 z z))))) |
(/.f64 (*.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z))) (*.f64 (fma.f64 (+.f64 z y) y (*.f64 z z)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)))) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (*.f64 #s(literal 1 binary64) (neg.f64 (+.f64 z y)))) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (neg.f64 (+.f64 z y))) |
(/.f64 (*.f64 (fma.f64 (+.f64 z y) y (*.f64 z z)) (-.f64 y z)) (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (+.f64 z y) y (*.f64 z z))))) |
(/.f64 (*.f64 (fma.f64 (+.f64 z y) y (*.f64 z z)) (-.f64 y z)) (neg.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) z) (*.f64 z z)))) |
(/.f64 (*.f64 (fma.f64 (+.f64 z y) y (*.f64 z z)) (-.f64 y z)) (neg.f64 (fma.f64 (+.f64 z y) y (*.f64 z z)))) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 z y))) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (*.f64 #s(literal 1 binary64) (+.f64 z y))) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (neg.f64 (neg.f64 (+.f64 z y)))) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 z y)) (+.f64 z y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) z) (*.f64 z z)) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal -1 binary64) (-.f64 y z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) (-.f64 y z))) |
(/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)) (*.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) z) (*.f64 z z)))) |
(/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)) (*.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z y) y (*.f64 z z)))) |
(/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)) (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 (neg.f64 y) z)))) |
(/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)) (neg.f64 (neg.f64 (fma.f64 (+.f64 z y) y (*.f64 z z))))) |
(/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)) (fma.f64 (neg.f64 y) (-.f64 (neg.f64 y) z) (*.f64 z z))) |
(/.f64 (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z)) (fma.f64 (+.f64 z y) y (*.f64 z z))) |
(/.f64 (-.f64 y z) #s(literal -1 binary64)) |
(/.f64 (-.f64 z y) #s(literal 1 binary64)) |
(neg.f64 (-.f64 y z)) |
(fma.f64 (/.f64 (*.f64 (*.f64 z z) z) (*.f64 (fma.f64 (+.f64 z y) y (*.f64 z z)) (-.f64 (*.f64 z z) (*.f64 (+.f64 z y) y)))) (-.f64 (*.f64 z z) (*.f64 (+.f64 z y) y)) (neg.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 z y) y (*.f64 z z))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 (*.f64 (*.f64 (*.f64 z z) z) (*.f64 z z)) z (*.f64 (*.f64 (*.f64 (*.f64 (+.f64 z y) y) y) (+.f64 z y)) (*.f64 (+.f64 z y) y)))) (fma.f64 (*.f64 (+.f64 z y) y) (-.f64 (*.f64 (+.f64 z y) y) (*.f64 z z)) (*.f64 (*.f64 z z) (*.f64 z z))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 z y) y (*.f64 z z))))) |
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 (*.f64 y y) y (*.f64 (*.f64 z z) z))) (fma.f64 z z (*.f64 y (-.f64 y z))) (neg.f64 (*.f64 y (/.f64 y (+.f64 z y))))) |
(fma.f64 (/.f64 (*.f64 z z) (*.f64 (+.f64 z y) (-.f64 z y))) (-.f64 z y) (neg.f64 (*.f64 y (/.f64 y (+.f64 z y))))) |
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (fma.f64 (+.f64 z y) y (*.f64 z z))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 z y) y (*.f64 z z))))) |
(fma.f64 #s(literal -1 binary64) y z) |
(fma.f64 (*.f64 z z) (/.f64 z (fma.f64 (+.f64 z y) y (*.f64 z z))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 z y) y (*.f64 z z))))) |
(fma.f64 (*.f64 z z) (/.f64 #s(literal 1 binary64) (+.f64 z y)) (neg.f64 (*.f64 y (/.f64 y (+.f64 z y))))) |
(fma.f64 (*.f64 (*.f64 z z) z) (/.f64 #s(literal 1 binary64) (fma.f64 (+.f64 z y) y (*.f64 z z))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 z y) y (*.f64 z z))))) |
(fma.f64 z (/.f64 (*.f64 z z) (fma.f64 (+.f64 z y) y (*.f64 z z))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 z y) y (*.f64 z z))))) |
(fma.f64 z (/.f64 z (+.f64 z y)) (neg.f64 (*.f64 y (/.f64 y (+.f64 z y))))) |
(fma.f64 y #s(literal -1 binary64) z) |
(-.f64 (+.f64 z #s(literal 0 binary64)) y) |
(-.f64 (/.f64 (*.f64 z (/.f64 z (+.f64 z y))) #s(literal 1 binary64)) (/.f64 (*.f64 y (/.f64 y (+.f64 z y))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 (+.f64 z y) y (*.f64 z z))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 z y) y (*.f64 z z))) #s(literal 1 binary64))) |
(-.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 y #s(literal 1 binary64))) |
(-.f64 (*.f64 z (/.f64 z (+.f64 z y))) (*.f64 y (/.f64 y (+.f64 z y)))) |
(-.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 (+.f64 z y) y (*.f64 z z))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 z y) y (*.f64 z z)))) |
(-.f64 #s(literal 0 binary64) (-.f64 y z)) |
(-.f64 z y) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(literal -1 binary64) (-.f64 y z))) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (neg.f64 z)) (neg.f64 y)) |
(+.f64 (*.f64 z (/.f64 z (+.f64 z y))) (neg.f64 (*.f64 y (/.f64 y (+.f64 z y))))) |
(+.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 (+.f64 z y) y (*.f64 z z))) (neg.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 (+.f64 z y) y (*.f64 z z))))) |
(+.f64 (neg.f64 y) z) |
(+.f64 z (neg.f64 y)) |
Compiled 14 146 to 1 400 computations (90.1% saved)
9 alts after pruning (8 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 564 | 8 | 572 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 564 | 9 | 573 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 z y)) |
| ▶ | 100.0% | (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
| 52.3% | #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y)) | |
| ▶ | 51.5% | #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) |
| 54.5% | #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) | |
| ▶ | 51.2% | #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) |
| 38.5% | #s(approx (/ (- x y) (- z y)) (/.f64 x z)) | |
| ▶ | 52.0% | #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))) |
| ▶ | 36.9% | #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) |
Compiled 156 to 90 computations (42.3% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 x z) | |
| cost-diff | 0 | (/.f64 (-.f64 x z) y) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))) | |
| cost-diff | 0 | (-.f64 x y) | |
| cost-diff | 0 | (/.f64 (-.f64 x y) z) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) | |
| cost-diff | 0 | (-.f64 z y) | |
| cost-diff | 0 | (/.f64 x (-.f64 z y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) | |
| cost-diff | 0 | (/.f64 y (-.f64 z y)) | |
| cost-diff | 0 | (-.f64 z y) | |
| cost-diff | 0 | (/.f64 x (-.f64 z y)) | |
| cost-diff | 896 | (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
| 480× | lower-fma.f64 |
| 480× | lower-fma.f32 |
| 240× | lower-*.f64 |
| 240× | lower-*.f32 |
| 197× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 119 |
| 0 | 28 | 115 |
| 1 | 45 | 115 |
| 2 | 71 | 115 |
| 3 | 140 | 115 |
| 4 | 316 | 115 |
| 5 | 814 | 115 |
| 6 | 1542 | 115 |
| 7 | 1866 | 115 |
| 8 | 1940 | 115 |
| 9 | 1999 | 115 |
| 10 | 2001 | 115 |
| 0 | 2001 | 115 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
(/.f64 x (-.f64 z y)) |
x |
(-.f64 z y) |
z |
y |
(/.f64 y (-.f64 z y)) |
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) |
(/.f64 x (-.f64 z y)) |
x |
(-.f64 z y) |
z |
y |
#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) |
(/.f64 (-.f64 x y) z) |
(-.f64 x y) |
x |
y |
z |
#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
y |
| Outputs |
|---|
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
(/.f64 (-.f64 y x) (-.f64 y z)) |
(/.f64 x (-.f64 z y)) |
x |
(-.f64 z y) |
z |
y |
(/.f64 y (-.f64 z y)) |
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) |
(/.f64 x (-.f64 z y)) |
x |
(-.f64 z y) |
z |
y |
#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) |
(/.f64 (-.f64 x y) z) |
(-.f64 x y) |
x |
y |
z |
#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))) |
#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 (-.f64 z x) y) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(-.f64 (/.f64 (-.f64 z x) y) #s(literal -1 binary64)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
x |
z |
y |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 x z) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) | |
| accuracy | 0.00390625 | (/.f64 (-.f64 x z) y) | |
| accuracy | 30.70903020380547 | #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))) | |
| accuracy | 0 | (-.f64 x y) | |
| accuracy | 0.01171875 | (/.f64 (-.f64 x y) z) | |
| accuracy | 31.053008571596212 | #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) | |
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0.0078125 | (/.f64 x (-.f64 z y)) | |
| accuracy | 31.23241023833063 | #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) | |
| accuracy | 40.414106130320036 | #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) | |
| accuracy | 0 | (-.f64 z y) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) | |
| accuracy | 0.0078125 | (/.f64 y (-.f64 z y)) | |
| accuracy | 0.0078125 | (/.f64 x (-.f64 z y)) |
| 28.0ms | 256× | 0 | valid |
Compiled 99 to 16 computations (83.8% saved)
ival-div: 8.0ms (52.9% of total)ival-sub: 7.0ms (46.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ()) |
#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 z y)) (patch (/.f64 y (-.f64 z y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) (patch #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) (patch #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x y) z) (patch (/.f64 (-.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (-.f64 x y) (patch (-.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ()) |
#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ y (- z y))) (taylor 0 x) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (- z y)) (/ y (- z y))) (taylor 0 x) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (- z y)) (/ y (- z y))) (taylor 0 x) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (- (/ x (- z y)) (/ y (- z y))) (taylor 0 x) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- z y)) (taylor inf x) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) (taylor inf x) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) (taylor inf x) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) (taylor inf x) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ x y))) (taylor 0 z) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ x y)) (* z (- (/ 1 y) (/ x (pow y 2)))))) (taylor 0 z) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ x y)) (* z (- (+ (* z (- (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)) (/ x (pow y 2)))))) (taylor 0 z) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ x y)) (* z (- (+ (* z (- (+ (* z (- (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2))) (/ x (pow y 3)))) (/ 1 y)) (/ x (pow y 2)))))) (taylor 0 z) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x y) z) (taylor inf z) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x (* -1 (/ (pow y 2) z))) (+ y (* -1 (/ (* x y) z)))) z) (taylor inf z) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2))))) (+ y (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2)))))) z) (taylor inf z) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x (+ (* -1 (/ (pow y 2) z)) (+ (* -1 (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 4) (pow z 3)))))) (+ y (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x (pow y 3)) (pow z 3))))))) z) (taylor inf z) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (* -1 x) (* -1 y)) z)) (taylor -inf z) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* x y) (pow y 2)) z))) (* -1 y)) z)) (taylor -inf z) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* x (pow y 2))) (* -1 (pow y 3))) z)) (* x y)) (pow y 2)) z))) (* -1 y)) z)) (taylor -inf z) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* x (pow y 2))) (* -1 (/ (- (* x (pow y 3)) (pow y 4)) z))) (* -1 (pow y 3))) z)) (* x y)) (pow y 2)) z))) (* -1 y)) z)) (taylor -inf z) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 y) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) (taylor 0 y) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) (taylor 0 y) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3))))) (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) (taylor 0 y) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (+ (* -1 (/ x y)) (/ z y))) (taylor inf y) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (+ (/ z y) (/ (pow z 2) (pow y 2))))) (/ (* x z) (pow y 2))) (taylor inf y) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (+ (/ z y) (+ (/ (pow z 2) (pow y 2)) (/ (pow z 3) (pow y 3)))))) (+ (/ (* x z) (pow y 2)) (/ (* x (pow z 2)) (pow y 3)))) (taylor inf y) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- x z) y))) (taylor -inf y) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ x (+ (* -1 (/ (pow z 2) y)) (/ (* x z) y))) z) y))) (taylor -inf y) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ (* -1 (/ (* x (pow z 2)) y)) (/ (pow z 3) y)) (+ (* -1 (pow z 2)) (* x z))) y))) z) y))) (taylor -inf y) (#s(alt (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) (patch (-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- z y)) (taylor 0 x) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- z y)) (taylor 0 x) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- z y)) (taylor 0 x) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- z y)) (taylor 0 x) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- z y)) (taylor inf x) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- z y)) (taylor inf x) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- z y)) (taylor inf x) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- z y)) (taylor inf x) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor 0 z) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))) (taylor 0 z) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))) (taylor 0 z) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor inf z) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (/ (* x y) z)) z) (taylor inf z) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))) z) (taylor inf z) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2))))) z) (taylor inf z) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf z) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (* x y) z))) z)) (taylor -inf z) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* x y) (/ (* x (pow y 2)) z)) z))) z)) (taylor -inf z) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (* x (pow y 3)) z))) z)) (* x y)) z))) z)) (taylor -inf z) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 y) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x z) (/ (* x y) (pow z 2))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (/ x z)) (taylor 0 y) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* y (- (/ (* x y) (pow z 4)) (* -1 (/ x (pow z 3))))) (* -1 (/ x (pow z 2))))) (/ x z)) (taylor 0 y) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor inf y) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 x) (* -1 (/ (* x z) y))) y) (taylor inf y) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 x) (* -1 (/ (* x (pow z 2)) (pow y 2)))) (/ (* x z) y)) y) (taylor inf y) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 x) (* -1 (/ (* x (pow z 3)) (pow y 3)))) (+ (/ (* x z) y) (/ (* x (pow z 2)) (pow y 2)))) y) (taylor inf y) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x y)) (taylor -inf y) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ x (/ (* x z) y)) y)) (taylor -inf y) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow z 2)) y)) (* x z)) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 3)) y) (* -1 (* x (pow z 2)))) y)) (* x z)) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (-.f64 z y)) (patch (/.f64 x (-.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
#s(alt (- z y) (taylor 0 z) (#s(alt (-.f64 z y) (patch (-.f64 z y) #<representation binary64>) () ())) ()) |
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#s(alt (/ z y) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* z (- (+ (/ 1 y) (/ 1 z)) (/ x (* y z)))) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ (- 1 (/ x y)) z)) (/ 1 y)))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- z x) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ y z) x) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ y z) x) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ y z) x) y) (taylor 0 y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ z y)) (/ x y)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (/ z y)) (/ x y)) (taylor inf y) (#s(alt (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) (patch (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) #<representation binary64>) () ())) ()) |
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#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ (* -1 (/ z (* x y))) (/ 1 y))) (taylor inf x) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (/ z (* x y)) (/ 1 y)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ z y)) (/ x y)) (taylor 0 z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ z y)) (taylor inf z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
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#s(alt (* z (- (/ x (* y z)) (/ 1 y))) (taylor inf z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ z y)) (taylor -inf z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) (taylor -inf z) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x z) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x z) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x z) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x z) y) (taylor 0 y) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x z) y) (taylor inf y) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x z) y) (taylor inf y) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x z) y) (taylor inf y) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x z) y) (taylor inf y) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
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#s(alt (/ (- x z) y) (taylor -inf y) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x z) y) (taylor -inf y) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x z) y) (taylor -inf y) (#s(alt (/.f64 (-.f64 x z) y) (patch (/.f64 (-.f64 x z) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
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#s(alt (- x z) (taylor 0 x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (- x z) (taylor 0 x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 1 (* -1 (/ z x)))) (taylor inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ z x)))) (taylor inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z x) 1))) (taylor -inf x) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 z)) (taylor 0 z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 z)) (taylor 0 z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 z)) (taylor 0 z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ x z) 1)) (taylor inf z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ x z) 1)) (taylor inf z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ x z) 1)) (taylor inf z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ x z))))) (taylor -inf z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ x z))))) (taylor -inf z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ 1 (* -1 (/ x z))))) (taylor -inf z) (#s(alt (-.f64 x z) (patch (-.f64 x z) #<representation binary64>) () ())) ()) |
105 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | y | @ | inf | (/ (- x y) z) |
| 4.0ms | x | @ | -inf | (/ (- x y) z) |
| 2.0ms | x | @ | inf | (/ (- x z) y) |
| 1.0ms | x | @ | -inf | (/ x (- z y)) |
| 1.0ms | y | @ | 0 | (- 1 (/ (- x z) y)) |
| 1× | egg-herbie |
| 4 943× | lower-fma.f64 |
| 4 943× | lower-fma.f32 |
| 2 271× | lower-*.f64 |
| 2 271× | lower-*.f32 |
| 1 525× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 560 | 5351 |
| 1 | 1757 | 4921 |
| 2 | 5427 | 4738 |
| 0 | 8401 | 4569 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y (- z y))) |
(- (/ x (- z y)) (/ y (- z y))) |
(- (/ x (- z y)) (/ y (- z y))) |
(- (/ x (- z y)) (/ y (- z y))) |
(/ x (- z y)) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(/ x (- z y)) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(+ 1 (* -1 (/ x y))) |
(+ 1 (+ (* -1 (/ x y)) (* z (- (/ 1 y) (/ x (pow y 2)))))) |
(+ 1 (+ (* -1 (/ x y)) (* z (- (+ (* z (- (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)) (/ x (pow y 2)))))) |
(+ 1 (+ (* -1 (/ x y)) (* z (- (+ (* z (- (+ (* z (- (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2))) (/ x (pow y 3)))) (/ 1 y)) (/ x (pow y 2)))))) |
(/ (- x y) z) |
(/ (- (+ x (* -1 (/ (pow y 2) z))) (+ y (* -1 (/ (* x y) z)))) z) |
(/ (- (+ x (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2))))) (+ y (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2)))))) z) |
(/ (- (+ x (+ (* -1 (/ (pow y 2) z)) (+ (* -1 (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 4) (pow z 3)))))) (+ y (+ (* -1 (/ (* x y) z)) (+ (* -1 (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x (pow y 3)) (pow z 3))))))) z) |
(* -1 (/ (- (* -1 x) (* -1 y)) z)) |
(* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (* x y) (pow y 2)) z))) (* -1 y)) z)) |
(* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (* -1 (* x (pow y 2))) (* -1 (pow y 3))) z)) (* x y)) (pow y 2)) z))) (* -1 y)) z)) |
(* -1 (/ (- (+ (* -1 x) (* -1 (/ (- (+ (* -1 (/ (- (+ (* -1 (* x (pow y 2))) (* -1 (/ (- (* x (pow y 3)) (pow y 4)) z))) (* -1 (pow y 3))) z)) (* x y)) (pow y 2)) z))) (* -1 y)) z)) |
(/ x z) |
(+ (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3))))) (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
1 |
(+ 1 (+ (* -1 (/ x y)) (/ z y))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (/ z y) (/ (pow z 2) (pow y 2))))) (/ (* x z) (pow y 2))) |
(- (+ 1 (+ (* -1 (/ x y)) (+ (/ z y) (+ (/ (pow z 2) (pow y 2)) (/ (pow z 3) (pow y 3)))))) (+ (/ (* x z) (pow y 2)) (/ (* x (pow z 2)) (pow y 3)))) |
1 |
(+ 1 (* -1 (/ (- x z) y))) |
(+ 1 (* -1 (/ (- (+ x (+ (* -1 (/ (pow z 2) y)) (/ (* x z) y))) z) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (+ (* -1 (/ (* x (pow z 2)) y)) (/ (pow z 3) y)) (+ (* -1 (pow z 2)) (* x z))) y))) z) y))) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(* -1 (/ x y)) |
(+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))) |
(+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))) |
(+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))) |
(/ x z) |
(/ (+ x (/ (* x y) z)) z) |
(/ (- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))) z) |
(/ (- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2))))) z) |
(/ x z) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* x y) z))) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* x y) (/ (* x (pow y 2)) z)) z))) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (* x (pow y 3)) z))) z)) (* x y)) z))) z)) |
(/ x z) |
(+ (/ x z) (/ (* x y) (pow z 2))) |
(+ (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (/ x z)) |
(+ (* y (- (* y (- (/ (* x y) (pow z 4)) (* -1 (/ x (pow z 3))))) (* -1 (/ x (pow z 2))))) (/ x z)) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (* -1 (/ (* x z) y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow z 2)) (pow y 2)))) (/ (* x z) y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow z 3)) (pow y 3)))) (+ (/ (* x z) y) (/ (* x (pow z 2)) (pow y 2)))) y) |
(* -1 (/ x y)) |
(* -1 (/ (+ x (/ (* x z) y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow z 2)) y)) (* x z)) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 3)) y) (* -1 (* x (pow z 2)))) y)) (* x z)) y))) y)) |
(* -1 y) |
(- z y) |
(- z y) |
(- z y) |
z |
(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ 1 (* -1 (/ y z)))) |
z |
(* -1 (* z (- (/ y z) 1))) |
(* -1 (* z (- (/ y z) 1))) |
(* -1 (* z (- (/ y z) 1))) |
z |
(+ z (* -1 y)) |
(+ z (* -1 y)) |
(+ z (* -1 y)) |
(* -1 y) |
(* y (- (/ z y) 1)) |
(* y (- (/ z y) 1)) |
(* y (- (/ z y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(/ y z) |
(* y (+ (/ 1 z) (/ y (pow z 2)))) |
(* y (+ (* y (+ (/ 1 (pow z 2)) (/ y (pow z 3)))) (/ 1 z))) |
(* y (+ (* y (+ (* y (+ (/ 1 (pow z 3)) (/ y (pow z 4)))) (/ 1 (pow z 2)))) (/ 1 z))) |
-1 |
(- (* -1 (/ z y)) 1) |
(- (* -1 (/ (pow z 2) (pow y 2))) (+ 1 (/ z y))) |
(- (* -1 (/ (pow z 3) (pow y 3))) (+ 1 (+ (/ z y) (/ (pow z 2) (pow y 2))))) |
-1 |
(- (* -1 (/ z y)) 1) |
(- (* -1 (/ (- (/ (pow z 2) y) (* -1 z)) y)) 1) |
(- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (pow z 3) y)) (pow z 2)) y)) (* -1 z)) y)) 1) |
-1 |
(- (* -1 (/ z y)) 1) |
(- (* z (- (* -1 (/ z (pow y 2))) (/ 1 y))) 1) |
(- (* z (- (* z (- (* -1 (/ z (pow y 3))) (/ 1 (pow y 2)))) (/ 1 y))) 1) |
(/ y z) |
(/ (+ y (/ (pow y 2) z)) z) |
(/ (- (+ y (/ (pow y 3) (pow z 2))) (* -1 (/ (pow y 2) z))) z) |
(/ (- (+ y (/ (pow y 4) (pow z 3))) (+ (* -1 (/ (pow y 2) z)) (* -1 (/ (pow y 3) (pow z 2))))) z) |
(/ y z) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (/ (pow y 3) z) (pow y 2)) z))) z)) |
(* -1 (/ (+ (* -1 y) (* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (pow y 4) z)) (* -1 (pow y 3))) z)) (pow y 2)) z))) z)) |
(* -1 (/ y (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(/ x (- z y)) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(/ x (- z y)) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(/ x z) |
(+ (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3))))) (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ z y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* z (- (* -1 x) (* -1 z))) (pow y 2)))) (* -1 (/ z y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow z 2) (- (* -1 x) (* -1 z))) (pow y 3)))) (+ (* -1 (/ z y)) (* -1 (/ (* z (- (* -1 x) (* -1 z))) (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (- x z) y))) |
(+ 1 (* -1 (/ (- (+ x (/ (* z (- x z)) y)) z) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow z 2) (- x z)) y)) (* z (- x z))) y))) z) y))) |
(* -1 (/ (- x y) y)) |
(+ (* -1 (/ (- x y) y)) (* z (- (/ 1 y) (/ x (pow y 2))))) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2))))) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2))))) |
(/ (- x y) z) |
(/ (- (+ x (/ (* y (- x y)) z)) y) z) |
(/ (- (+ x (/ (* (pow y 2) (- x y)) (pow z 2))) (+ y (* -1 (/ (* y (- x y)) z)))) z) |
(/ (- (+ x (/ (* (pow y 3) (- x y)) (pow z 3))) (+ y (+ (* -1 (/ (* y (- x y)) z)) (* -1 (/ (* (pow y 2) (- x y)) (pow z 2)))))) z) |
(/ (- x y) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (* y (- x y)) z))) z)) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* y (- x y)) (/ (* (pow y 2) (- x y)) z)) z))) z)) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- x y))) (* -1 (/ (* (pow y 3) (- x y)) z))) z)) (* y (- x y))) z))) z)) |
(* -1 (/ y (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(/ x (- z y)) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(/ x (- z y)) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(/ x z) |
(+ (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3))))) (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ z y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* z (- (* -1 x) (* -1 z))) (pow y 2)))) (* -1 (/ z y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow z 2) (- (* -1 x) (* -1 z))) (pow y 3)))) (+ (* -1 (/ z y)) (* -1 (/ (* z (- (* -1 x) (* -1 z))) (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (- x z) y))) |
(+ 1 (* -1 (/ (- (+ x (/ (* z (- x z)) y)) z) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow z 2) (- x z)) y)) (* z (- x z))) y))) z) y))) |
(* -1 (/ (- x y) y)) |
(+ (* -1 (/ (- x y) y)) (* z (- (/ 1 y) (/ x (pow y 2))))) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2))))) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2))))) |
(/ (- x y) z) |
(/ (- (+ x (/ (* y (- x y)) z)) y) z) |
(/ (- (+ x (/ (* (pow y 2) (- x y)) (pow z 2))) (+ y (* -1 (/ (* y (- x y)) z)))) z) |
(/ (- (+ x (/ (* (pow y 3) (- x y)) (pow z 3))) (+ y (+ (* -1 (/ (* y (- x y)) z)) (* -1 (/ (* (pow y 2) (- x y)) (pow z 2)))))) z) |
(/ (- x y) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (* y (- x y)) z))) z)) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* y (- x y)) (/ (* (pow y 2) (- x y)) z)) z))) z)) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- x y))) (* -1 (/ (* (pow y 3) (- x y)) z))) z)) (* y (- x y))) z))) z)) |
(* -1 (/ y (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(/ x (- z y)) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(/ x (- z y)) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(/ x z) |
(+ (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3))))) (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ z y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* z (- (* -1 x) (* -1 z))) (pow y 2)))) (* -1 (/ z y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow z 2) (- (* -1 x) (* -1 z))) (pow y 3)))) (+ (* -1 (/ z y)) (* -1 (/ (* z (- (* -1 x) (* -1 z))) (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (- x z) y))) |
(+ 1 (* -1 (/ (- (+ x (/ (* z (- x z)) y)) z) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow z 2) (- x z)) y)) (* z (- x z))) y))) z) y))) |
(* -1 (/ (- x y) y)) |
(+ (* -1 (/ (- x y) y)) (* z (- (/ 1 y) (/ x (pow y 2))))) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2))))) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2))))) |
(/ (- x y) z) |
(/ (- (+ x (/ (* y (- x y)) z)) y) z) |
(/ (- (+ x (/ (* (pow y 2) (- x y)) (pow z 2))) (+ y (* -1 (/ (* y (- x y)) z)))) z) |
(/ (- (+ x (/ (* (pow y 3) (- x y)) (pow z 3))) (+ y (+ (* -1 (/ (* y (- x y)) z)) (* -1 (/ (* (pow y 2) (- x y)) (pow z 2)))))) z) |
(/ (- x y) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (* y (- x y)) z))) z)) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* y (- x y)) (/ (* (pow y 2) (- x y)) z)) z))) z)) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- x y))) (* -1 (/ (* (pow y 3) (- x y)) z))) z)) (* y (- x y))) z))) z)) |
(* -1 (/ y z)) |
(+ (* -1 (/ y z)) (/ x z)) |
(+ (* -1 (/ y z)) (/ x z)) |
(+ (* -1 (/ y z)) (/ x z)) |
(/ x z) |
(* x (+ (* -1 (/ y (* x z))) (/ 1 z))) |
(* x (+ (* -1 (/ y (* x z))) (/ 1 z))) |
(* x (+ (* -1 (/ y (* x z))) (/ 1 z))) |
(/ x z) |
(* -1 (* x (- (/ y (* x z)) (/ 1 z)))) |
(* -1 (* x (- (/ y (* x z)) (/ 1 z)))) |
(* -1 (* x (- (/ y (* x z)) (/ 1 z)))) |
(/ x z) |
(+ (* -1 (/ y z)) (/ x z)) |
(+ (* -1 (/ y z)) (/ x z)) |
(+ (* -1 (/ y z)) (/ x z)) |
(* -1 (/ y z)) |
(* y (- (/ x (* y z)) (/ 1 z))) |
(* y (- (/ x (* y z)) (/ 1 z))) |
(* y (- (/ x (* y z)) (/ 1 z))) |
(* -1 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))) |
(/ (- x y) z) |
(/ (- x y) z) |
(/ (- x y) z) |
(/ (- x y) z) |
(/ (- x y) z) |
(/ (- x y) z) |
(/ (- x y) z) |
(/ (- x y) z) |
(/ (- x y) z) |
(/ (- x y) z) |
(/ (- x y) z) |
(/ (- x y) z) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (/ y (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(/ x (- z y)) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(/ x (- z y)) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(/ x z) |
(+ (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3))))) (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ z y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* z (- (* -1 x) (* -1 z))) (pow y 2)))) (* -1 (/ z y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow z 2) (- (* -1 x) (* -1 z))) (pow y 3)))) (+ (* -1 (/ z y)) (* -1 (/ (* z (- (* -1 x) (* -1 z))) (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (- x z) y))) |
(+ 1 (* -1 (/ (- (+ x (/ (* z (- x z)) y)) z) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow z 2) (- x z)) y)) (* z (- x z))) y))) z) y))) |
(* -1 (/ (- x y) y)) |
(+ (* -1 (/ (- x y) y)) (* z (- (/ 1 y) (/ x (pow y 2))))) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2))))) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2))))) |
(/ (- x y) z) |
(/ (- (+ x (/ (* y (- x y)) z)) y) z) |
(/ (- (+ x (/ (* (pow y 2) (- x y)) (pow z 2))) (+ y (* -1 (/ (* y (- x y)) z)))) z) |
(/ (- (+ x (/ (* (pow y 3) (- x y)) (pow z 3))) (+ y (+ (* -1 (/ (* y (- x y)) z)) (* -1 (/ (* (pow y 2) (- x y)) (pow z 2)))))) z) |
(/ (- x y) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (* y (- x y)) z))) z)) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* y (- x y)) (/ (* (pow y 2) (- x y)) z)) z))) z)) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- x y))) (* -1 (/ (* (pow y 3) (- x y)) z))) z)) (* y (- x y))) z))) z)) |
(+ 1 (/ z y)) |
(+ 1 (+ (* -1 (/ x y)) (/ z y))) |
(+ 1 (+ (* -1 (/ x y)) (/ z y))) |
(+ 1 (+ (* -1 (/ x y)) (/ z y))) |
(* -1 (/ x y)) |
(* x (- (+ (/ 1 x) (/ z (* x y))) (/ 1 y))) |
(* x (- (+ (/ 1 x) (/ z (* x y))) (/ 1 y))) |
(* x (- (+ (/ 1 x) (/ z (* x y))) (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ z y))) x)) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ z y))) x)) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ z y))) x)) (/ 1 y)))) |
(- 1 (/ x y)) |
(- (+ 1 (/ z y)) (/ x y)) |
(- (+ 1 (/ z y)) (/ x y)) |
(- (+ 1 (/ z y)) (/ x y)) |
(/ z y) |
(* z (- (+ (/ 1 y) (/ 1 z)) (/ x (* y z)))) |
(* z (- (+ (/ 1 y) (/ 1 z)) (/ x (* y z)))) |
(* z (- (+ (/ 1 y) (/ 1 z)) (/ x (* y z)))) |
(/ z y) |
(* -1 (* z (- (* -1 (/ (- 1 (/ x y)) z)) (/ 1 y)))) |
(* -1 (* z (- (* -1 (/ (- 1 (/ x y)) z)) (/ 1 y)))) |
(* -1 (* z (- (* -1 (/ (- 1 (/ x y)) z)) (/ 1 y)))) |
(/ (- z x) y) |
(/ (- (+ y z) x) y) |
(/ (- (+ y z) x) y) |
(/ (- (+ y z) x) y) |
1 |
(- (+ 1 (/ z y)) (/ x y)) |
(- (+ 1 (/ z y)) (/ x y)) |
(- (+ 1 (/ z y)) (/ x y)) |
1 |
(+ 1 (* -1 (/ (- x z) y))) |
(+ 1 (* -1 (/ (- x z) y))) |
(+ 1 (* -1 (/ (- x z) y))) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(/ x y) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(/ x y) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(/ x y) |
(+ (* -1 (/ z y)) (/ x y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(+ (* -1 (/ z y)) (/ x y)) |
(* -1 (/ z y)) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(* -1 (/ z y)) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(/ (- x z) y) |
(/ (- x z) y) |
(/ (- x z) y) |
(/ (- x z) y) |
(/ (- x z) y) |
(/ (- x z) y) |
(/ (- x z) y) |
(/ (- x z) y) |
(/ (- x z) y) |
(/ (- x z) y) |
(/ (- x z) y) |
(/ (- x z) y) |
(* -1 z) |
(- x z) |
(- x z) |
(- x z) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
(* x (+ 1 (* -1 (/ z x)))) |
x |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
(* -1 (* x (- (/ z x) 1))) |
x |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(+ x (* -1 z)) |
(* -1 z) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* z (- (/ x z) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
| Outputs |
|---|
(* -1 (/ y (- z y))) |
(/.f64 (neg.f64 y) (-.f64 z y)) |
(- (/ x (- z y)) (/ y (- z y))) |
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
(- (/ x (- z y)) (/ y (- z y))) |
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
(- (/ x (- z y)) (/ y (- z y))) |
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(fma.f64 (neg.f64 x) (/.f64 y (*.f64 x (-.f64 z y))) (/.f64 x (-.f64 z y))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(fma.f64 (neg.f64 x) (/.f64 y (*.f64 x (-.f64 z y))) (/.f64 x (-.f64 z y))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(fma.f64 (neg.f64 x) (/.f64 y (*.f64 x (-.f64 z y))) (/.f64 x (-.f64 z y))) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y (*.f64 x (-.f64 z y))) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y (*.f64 x (-.f64 z y))) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y (*.f64 x (-.f64 z y))) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) |
(+ 1 (* -1 (/ x y))) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ 1 (+ (* -1 (/ x y)) (* z (- (/ 1 y) (/ x (pow y 2)))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))) z (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(+ 1 (+ (* -1 (/ x y)) (* z (- (+ (* z (- (/ 1 (pow y 2)) (/ x (pow y 3)))) (/ 1 y)) (/ x (pow y 2)))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 (*.f64 y y) y))) z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(+ 1 (+ (* -1 (/ x y)) (* z (- (+ (* z (- (+ (* z (- (/ 1 (pow y 3)) (/ x (pow y 4)))) (/ 1 (pow y 2))) (/ x (pow y 3)))) (/ 1 y)) (/ x (pow y 2)))))) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 y y) y)) (/.f64 x (pow.f64 y #s(literal 4 binary64)))) z (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 (*.f64 y y) y)))) z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)))) z (-.f64 #s(literal 1 binary64) (/.f64 x y))) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
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(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
x |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(*.f64 (/.f64 (-.f64 x y) y) y) |
(* y (- (/ x y) 1)) |
(*.f64 (/.f64 (-.f64 x y) y) y) |
(* y (- (/ x y) 1)) |
(*.f64 (/.f64 (-.f64 x y) y) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (/.f64 (-.f64 x y) y) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (/.f64 (-.f64 x y) y) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (/.f64 (-.f64 x y) y) y) |
(* -1 (/ y (- z y))) |
(/.f64 (neg.f64 y) (-.f64 z y)) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(fma.f64 (neg.f64 x) (/.f64 y (*.f64 x (-.f64 z y))) (/.f64 x (-.f64 z y))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(fma.f64 (neg.f64 x) (/.f64 y (*.f64 x (-.f64 z y))) (/.f64 x (-.f64 z y))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(fma.f64 (neg.f64 x) (/.f64 y (*.f64 x (-.f64 z y))) (/.f64 x (-.f64 z y))) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y (*.f64 x (-.f64 z y))) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y (*.f64 x (-.f64 z y))) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y (*.f64 x (-.f64 z y))) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) |
(/ x z) |
(/.f64 x z) |
(+ (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(-.f64 (/.f64 x z) (/.f64 (fma.f64 (/.f64 (neg.f64 y) z) x y) z)) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 x (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) y (-.f64 (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))) y (/.f64 x z)) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3))))) (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(fma.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z)) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (neg.f64 y) (-.f64 (/.f64 x (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) y (-.f64 (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))) y (/.f64 x z)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ z y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* z (- (* -1 x) (* -1 z))) (pow y 2)))) (* -1 (/ z y))) |
(+.f64 (fma.f64 (/.f64 (-.f64 z x) (*.f64 y y)) z (/.f64 (-.f64 z x) y)) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow z 2) (- (* -1 x) (* -1 z))) (pow y 3)))) (+ (* -1 (/ z y)) (* -1 (/ (* z (- (* -1 x) (* -1 z))) (pow y 2))))) |
(+.f64 (fma.f64 (/.f64 (-.f64 z x) (*.f64 (*.f64 y y) y)) (*.f64 z z) (fma.f64 (/.f64 (-.f64 z x) (*.f64 y y)) z (/.f64 (-.f64 z x) y))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(+ 1 (* -1 (/ (- (+ x (/ (* z (- x z)) y)) z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x z) y) z (-.f64 x z)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow z 2) (- x z)) y)) (* z (- x z))) y))) z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (-.f64 x (/.f64 (fma.f64 (-.f64 z x) (*.f64 z (/.f64 z y)) (*.f64 (-.f64 z x) z)) y)) z) y)) |
(* -1 (/ (- x y) y)) |
(/.f64 (-.f64 y x) y) |
(+ (* -1 (/ (- x y) y)) (* z (- (/ 1 y) (/ x (pow y 2))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))) z (/.f64 (-.f64 y x) y)) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 (*.f64 y y) y))) z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)))) z (/.f64 (-.f64 y x) y)) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))) (*.f64 y y)) z (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 (*.f64 y y) y)))) z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)))) z (/.f64 (-.f64 y x) y)) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(/ (- (+ x (/ (* y (- x y)) z)) y) z) |
(/.f64 (fma.f64 (/.f64 (-.f64 x y) z) y (-.f64 x y)) z) |
(/ (- (+ x (/ (* (pow y 2) (- x y)) (pow z 2))) (+ y (* -1 (/ (* y (- x y)) z)))) z) |
(/.f64 (fma.f64 (/.f64 (-.f64 x y) (*.f64 z z)) (*.f64 y y) (fma.f64 (/.f64 (-.f64 x y) z) y (-.f64 x y))) z) |
(/ (- (+ x (/ (* (pow y 3) (- x y)) (pow z 3))) (+ y (+ (* -1 (/ (* y (- x y)) z)) (* -1 (/ (* (pow y 2) (- x y)) (pow z 2)))))) z) |
(/.f64 (fma.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 z z) z)) (*.f64 (*.f64 y y) y) (fma.f64 (/.f64 (-.f64 x y) (*.f64 z z)) (*.f64 y y) (fma.f64 (/.f64 (-.f64 x y) z) y (-.f64 x y)))) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (* y (- x y)) z))) z)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x y) z) y (-.f64 x y)) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* y (- x y)) (/ (* (pow y 2) (- x y)) z)) z))) z)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (-.f64 x y) y (*.f64 y (*.f64 (/.f64 (-.f64 x y) z) y))) z) (-.f64 x y)) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- x y))) (* -1 (/ (* (pow y 3) (- x y)) z))) z)) (* y (- x y))) z))) z)) |
(/.f64 (-.f64 x (+.f64 y (/.f64 (fma.f64 (-.f64 y x) y (/.f64 (fma.f64 (*.f64 (-.f64 y x) y) y (*.f64 (-.f64 y x) (*.f64 y (*.f64 y (/.f64 y z))))) z)) z))) z) |
(+ 1 (/ z y)) |
(+.f64 (/.f64 z y) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ x y)) (/ z y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(+ 1 (+ (* -1 (/ x y)) (/ z y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(+ 1 (+ (* -1 (/ x y)) (/ z y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (+ (/ 1 x) (/ z (* x y))) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (*.f64 x y)) x (/.f64 (neg.f64 x) y))) |
(* x (- (+ (/ 1 x) (/ z (* x y))) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (*.f64 x y)) x (/.f64 (neg.f64 x) y))) |
(* x (- (+ (/ 1 x) (/ z (* x y))) (/ 1 y))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (*.f64 x y)) x (/.f64 (neg.f64 x) y))) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ z y))) x)) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (*.f64 x y)) x (/.f64 (neg.f64 x) y))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ z y))) x)) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (*.f64 x y)) x (/.f64 (neg.f64 x) y))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ z y))) x)) (/ 1 y)))) |
(+.f64 #s(literal 1 binary64) (fma.f64 (/.f64 z (*.f64 x y)) x (/.f64 (neg.f64 x) y))) |
(- 1 (/ x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(- (+ 1 (/ z y)) (/ x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(- (+ 1 (/ z y)) (/ x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(- (+ 1 (/ z y)) (/ x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(/ z y) |
(/.f64 z y) |
(* z (- (+ (/ 1 y) (/ 1 z)) (/ x (* y z)))) |
(+.f64 (/.f64 z y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z) z)) |
(* z (- (+ (/ 1 y) (/ 1 z)) (/ x (* y z)))) |
(+.f64 (/.f64 z y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z) z)) |
(* z (- (+ (/ 1 y) (/ 1 z)) (/ x (* y z)))) |
(+.f64 (/.f64 z y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z) z)) |
(/ z y) |
(/.f64 z y) |
(* -1 (* z (- (* -1 (/ (- 1 (/ x y)) z)) (/ 1 y)))) |
(+.f64 (/.f64 z y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z) z)) |
(* -1 (* z (- (* -1 (/ (- 1 (/ x y)) z)) (/ 1 y)))) |
(+.f64 (/.f64 z y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z) z)) |
(* -1 (* z (- (* -1 (/ (- 1 (/ x y)) z)) (/ 1 y)))) |
(+.f64 (/.f64 z y) (*.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z) z)) |
(/ (- z x) y) |
(/.f64 (-.f64 z x) y) |
(/ (- (+ y z) x) y) |
(/.f64 (-.f64 (+.f64 z y) x) y) |
(/ (- (+ y z) x) y) |
(/.f64 (-.f64 (+.f64 z y) x) y) |
(/ (- (+ y z) x) y) |
(/.f64 (-.f64 (+.f64 z y) x) y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ z y)) (/ x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(- (+ 1 (/ z y)) (/ x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(- (+ 1 (/ z y)) (/ x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(+ 1 (* -1 (/ (- x z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(+ 1 (* -1 (/ (- x z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(fma.f64 (/.f64 z (*.f64 (neg.f64 y) x)) x (/.f64 x y)) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(fma.f64 (/.f64 z (*.f64 (neg.f64 y) x)) x (/.f64 x y)) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(fma.f64 (/.f64 z (*.f64 (neg.f64 y) x)) x (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(neg.f64 (fma.f64 (/.f64 z (*.f64 x y)) x (/.f64 (neg.f64 x) y))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(neg.f64 (fma.f64 (/.f64 z (*.f64 x y)) x (/.f64 (neg.f64 x) y))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(neg.f64 (fma.f64 (/.f64 z (*.f64 x y)) x (/.f64 (neg.f64 x) y))) |
(/ x y) |
(/.f64 x y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(fma.f64 (/.f64 x (*.f64 z y)) z (/.f64 (neg.f64 z) y)) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(fma.f64 (/.f64 x (*.f64 z y)) z (/.f64 (neg.f64 z) y)) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(fma.f64 (/.f64 x (*.f64 z y)) z (/.f64 (neg.f64 z) y)) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(fma.f64 (/.f64 x (*.f64 z y)) z (/.f64 (neg.f64 z) y)) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(fma.f64 (/.f64 x (*.f64 z y)) z (/.f64 (neg.f64 z) y)) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(fma.f64 (/.f64 x (*.f64 z y)) z (/.f64 (neg.f64 z) y)) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(* -1 z) |
(neg.f64 z) |
(- x z) |
(-.f64 x z) |
(- x z) |
(-.f64 x z) |
(- x z) |
(-.f64 x z) |
x |
(* x (+ 1 (* -1 (/ z x)))) |
(fma.f64 (/.f64 z x) (neg.f64 x) x) |
(* x (+ 1 (* -1 (/ z x)))) |
(fma.f64 (/.f64 z x) (neg.f64 x) x) |
(* x (+ 1 (* -1 (/ z x)))) |
(fma.f64 (/.f64 z x) (neg.f64 x) x) |
x |
(* -1 (* x (- (/ z x) 1))) |
(fma.f64 (/.f64 z x) (neg.f64 x) x) |
(* -1 (* x (- (/ z x) 1))) |
(fma.f64 (/.f64 z x) (neg.f64 x) x) |
(* -1 (* x (- (/ z x) 1))) |
(fma.f64 (/.f64 z x) (neg.f64 x) x) |
x |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(+ x (* -1 z)) |
(-.f64 x z) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ x z) 1)) |
(fma.f64 (/.f64 x z) z (neg.f64 z)) |
(* z (- (/ x z) 1)) |
(fma.f64 (/.f64 x z) z (neg.f64 z)) |
(* z (- (/ x z) 1)) |
(fma.f64 (/.f64 x z) z (neg.f64 z)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(fma.f64 (/.f64 x z) z (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(fma.f64 (/.f64 x z) z (neg.f64 z)) |
(* -1 (* z (+ 1 (* -1 (/ x z))))) |
(fma.f64 (/.f64 x z) z (neg.f64 z)) |
| 2 677× | lower-*.f64 |
| 2 677× | lower-*.f32 |
| 2 364× | lower-/.f32 |
| 2 360× | lower-/.f64 |
| 1 302× | lower--.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 97 |
| 0 | 28 | 93 |
| 1 | 132 | 93 |
| 2 | 1209 | 93 |
| 0 | 8150 | 93 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
(/.f64 x (-.f64 z y)) |
(-.f64 z y) |
(/.f64 y (-.f64 z y)) |
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) |
#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) |
(/.f64 (-.f64 x y) z) |
(-.f64 x y) |
#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(/.f64 (-.f64 x z) y) |
(-.f64 x z) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal 1 binary64) (-.f64 z y)) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (-.f64 z y))) (/.f64 (/.f64 (-.f64 x y) (-.f64 z y)) (+.f64 y x))) |
(*.f64 (/.f64 (+.f64 y x) (-.f64 z y)) (/.f64 (-.f64 x y) (+.f64 y x))) |
(*.f64 (/.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 z y)) (/.f64 (-.f64 x y) (fma.f64 y (+.f64 y x) (*.f64 x x)))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (+.f64 y z) (-.f64 z y))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (+.f64 y z)))) |
(*.f64 (/.f64 (*.f64 (+.f64 y x) (-.f64 x y)) (*.f64 (fma.f64 y (+.f64 y z) (*.f64 z z)) (-.f64 z y))) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 y x)) (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y z) (*.f64 z z))))) |
(*.f64 (/.f64 (*.f64 (fma.f64 y (+.f64 y x) (*.f64 x x)) (-.f64 x y)) (*.f64 (+.f64 y z) (-.f64 z y))) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 y (+.f64 y x) (*.f64 x x))) (/.f64 #s(literal 1 binary64) (+.f64 y z)))) |
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(/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (-.f64 x (neg.f64 z))) |
(/.f64 (*.f64 (+.f64 z x) (-.f64 x z)) (+.f64 z x)) |
(/.f64 (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 x z)) (fma.f64 x x (-.f64 (*.f64 z z) (*.f64 x (neg.f64 z))))) |
(/.f64 (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 x z)) (fma.f64 z (+.f64 z x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 z x) (*.f64 (+.f64 z x) (-.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (*.f64 (fma.f64 z (+.f64 z x) (*.f64 x x)) (-.f64 x z)))) |
(fma.f64 #s(literal -1 binary64) z x) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (neg.f64 z))) (/.f64 (*.f64 z z) (-.f64 x (neg.f64 z)))) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 z x)) (/.f64 (*.f64 z z) (+.f64 z x))) |
(-.f64 (/.f64 (*.f64 (*.f64 x x) x) (fma.f64 z (+.f64 z x) (*.f64 x x))) (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 z (+.f64 z x) (*.f64 x x)))) |
(-.f64 x z) |
(+.f64 (neg.f64 z) x) |
(+.f64 x (neg.f64 z)) |
Compiled 19 450 to 1 882 computations (90.3% saved)
11 alts after pruning (7 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 048 | 5 | 1 053 |
| Fresh | 1 | 2 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 051 | 11 | 1 062 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 z y)) |
| ✓ | 51.5% | #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) |
| ▶ | 19.9% | #s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) |
| ▶ | 54.5% | #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) |
| ✓ | 51.2% | #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) |
| ▶ | 18.1% | #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) |
| ▶ | 38.5% | #s(approx (/ (- x y) (- z y)) (/.f64 x z)) |
| 51.4% | #s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z))) | |
| 52.3% | #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) | |
| ▶ | 2.9% | #s(approx (/ (- x y) (- z y)) #s(approx (- 1 (/ (- x z) y)) (/.f64 z y))) |
| ✓ | 36.9% | #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) |
Compiled 159 to 90 computations (43.4% saved)
| 1× | egg-herbie |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- x y) (neg.f64 y)) | |
| cost-diff | 0 | (/.f64 #s(approx (- x y) (neg.f64 y)) z) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | #s(approx (- z y) (neg.f64 y)) | |
| cost-diff | 0 | (/.f64 x #s(approx (- z y) (neg.f64 y))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- z y)) (/.f64 x z)) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | #s(approx (- 1 (/ (- x z) y)) (/.f64 z y)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- z y)) #s(approx (- 1 (/ (- x z) y)) (/.f64 z y))) | |
| cost-diff | 0 | (-.f64 y z) | |
| cost-diff | 0 | (/.f64 y (-.f64 y z)) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) |
| 472× | lower-fma.f64 |
| 472× | lower-fma.f32 |
| 264× | lower-*.f64 |
| 264× | lower-*.f32 |
| 198× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 142 |
| 0 | 32 | 142 |
| 1 | 49 | 142 |
| 2 | 73 | 142 |
| 3 | 136 | 142 |
| 4 | 292 | 142 |
| 5 | 600 | 142 |
| 6 | 1138 | 142 |
| 7 | 1674 | 142 |
| 8 | 1994 | 142 |
| 9 | 2163 | 142 |
| 10 | 2184 | 142 |
| 11 | 2203 | 142 |
| 12 | 2220 | 142 |
| 13 | 2226 | 142 |
| 0 | 2226 | 142 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) |
(/.f64 y (-.f64 y z)) |
y |
(-.f64 y z) |
z |
#s(approx (/ (- x y) (- z y)) #s(approx (- 1 (/ (- x z) y)) (/.f64 z y))) |
#s(approx (- 1 (/ (- x z) y)) (/.f64 z y)) |
(/.f64 z y) |
z |
y |
#s(approx (/ (- x y) (- z y)) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) |
(/.f64 x #s(approx (- z y) (neg.f64 y))) |
x |
#s(approx (- z y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) |
(/.f64 #s(approx (- x y) (neg.f64 y)) z) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
z |
| Outputs |
|---|
#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) |
(/.f64 y (-.f64 y z)) |
y |
(-.f64 y z) |
z |
#s(approx (/ (- x y) (- z y)) #s(approx (- 1 (/ (- x z) y)) (/.f64 z y))) |
#s(approx (- 1 (/ (- x z) y)) (/.f64 z y)) |
(/.f64 z y) |
z |
y |
#s(approx (/ (- x y) (- z y)) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) |
(/.f64 x #s(approx (- z y) (neg.f64 y))) |
x |
#s(approx (- z y) (neg.f64 y)) |
(neg.f64 y) |
y |
#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) |
(/.f64 #s(approx (- x y) (neg.f64 y)) z) |
#s(approx (- x y) (neg.f64 y)) |
(neg.f64 y) |
y |
z |
Found 16 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.01171875 | (/.f64 #s(approx (- x y) (neg.f64 y)) z) | |
| accuracy | 30.562196223515222 | #s(approx (- x y) (neg.f64 y)) | |
| accuracy | 31.053008571596212 | #s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.0078125 | (/.f64 x #s(approx (- z y) (neg.f64 y))) | |
| accuracy | 31.23241023833063 | #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) | |
| accuracy | 31.745963794016383 | #s(approx (- z y) (neg.f64 y)) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 39.34923297307759 | #s(approx (/ (- x y) (- z y)) (/.f64 x z)) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 30.70903020380547 | #s(approx (/ (- x y) (- z y)) #s(approx (- 1 (/ (- x z) y)) (/.f64 z y))) | |
| accuracy | 41.87710321181607 | #s(approx (- 1 (/ (- x z) y)) (/.f64 z y)) | |
| accuracy | 0 | (-.f64 y z) | |
| accuracy | 0.0078125 | (/.f64 y (-.f64 y z)) | |
| accuracy | 29.11194228083228 | #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) |
| 34.0ms | 256× | 0 | valid |
Compiled 88 to 19 computations (78.4% saved)
ival-div: 14.0ms (65.8% of total)ival-sub: 6.0ms (28.2% of total)ival-neg: 1.0ms (4.7% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ()) |
#s(alt (-.f64 y z) (patch (-.f64 y z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- z y)) #s(approx (- 1 (/ (- x z) y)) (/.f64 z y))) (patch #s(approx (/ (- x y) (- z y)) #s(approx (- 1 (/ (- x z) y)) (/.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 (/ (- x z) y)) (/.f64 z y)) (patch #s(approx (- 1 (/ (- x z) y)) (/.f64 z y)) #<representation binary64>) () ()) |
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (patch #s(approx (/ (- x y) (- z y)) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (- z y) (neg.f64 y))) (patch (/.f64 x #s(approx (- z y) (neg.f64 y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- z y) (neg.f64 y)) (patch #s(approx (- z y) (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) (patch #s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- x y) (neg.f64 y)) z) (patch (/.f64 #s(approx (- x y) (neg.f64 y)) z) #<representation binary64>) () ()) |
#s(alt #s(approx (- x y) (neg.f64 y)) (patch #s(approx (- x y) (neg.f64 y)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ y (- z y))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- z y))) (/ x (- z y))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- z y))) (/ x (- z y))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- z y))) (/ x (- z y))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- z y)) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3))))) (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) (taylor 0 y) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor inf y) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (* -1 (/ x y))) (* -1 (/ z y))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* z (- (* -1 x) (* -1 z))) (pow y 2)))) (* -1 (/ z y))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow z 2) (- (* -1 x) (* -1 z))) (pow y 3)))) (+ (* -1 (/ z y)) (* -1 (/ (* z (- (* -1 x) (* -1 z))) (pow y 2))))) (taylor inf y) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor -inf y) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- x z) y))) (taylor -inf y) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ x (/ (* z (- x z)) y)) z) y))) (taylor -inf y) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow z 2) (- x z)) y)) (* z (- x z))) y))) z) y))) (taylor -inf y) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- x y) y)) (taylor 0 z) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- x y) y)) (* z (- (/ 1 y) (/ x (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2))))) (taylor 0 z) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x y) z) (taylor inf z) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x (/ (* y (- x y)) z)) y) z) (taylor inf z) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x (/ (* (pow y 2) (- x y)) (pow z 2))) (+ y (* -1 (/ (* y (- x y)) z)))) z) (taylor inf z) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x (/ (* (pow y 3) (- x y)) (pow z 3))) (+ y (+ (* -1 (/ (* y (- x y)) z)) (* -1 (/ (* (pow y 2) (- x y)) (pow z 2)))))) z) (taylor inf z) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- x y) z) (taylor -inf z) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (* y (- x y)) z))) z)) (taylor -inf z) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* y (- x y)) (/ (* (pow y 2) (- x y)) z)) z))) z)) (taylor -inf z) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- x y))) (* -1 (/ (* (pow y 3) (- x y)) z))) z)) (* y (- x y))) z))) z)) (taylor -inf z) (#s(alt #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ y z)) (taylor 0 y) (#s(alt (/.f64 y (-.f64 y z)) (patch (/.f64 y (-.f64 y z)) #<representation binary64>) () ())) ()) |
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111 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 0.0ms | x | @ | inf | (/ x z) |
| 0.0ms | y | @ | inf | (/ z y) |
| 0.0ms | z | @ | -inf | (/ z y) |
| 0.0ms | x | @ | -inf | (/ x z) |
| 0.0ms | x | @ | 0 | (/ x z) |
| 1× | egg-herbie |
| 5 018× | lower-fma.f64 |
| 5 018× | lower-fma.f32 |
| 2 351× | lower-*.f64 |
| 2 351× | lower-*.f32 |
| 1 458× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 436 | 5088 |
| 1 | 1325 | 4753 |
| 2 | 3955 | 4421 |
| 0 | 8246 | 4258 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(/ x (- z y)) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(/ x (- z y)) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(/ x z) |
(+ (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3))))) (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ z y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* z (- (* -1 x) (* -1 z))) (pow y 2)))) (* -1 (/ z y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow z 2) (- (* -1 x) (* -1 z))) (pow y 3)))) (+ (* -1 (/ z y)) (* -1 (/ (* z (- (* -1 x) (* -1 z))) (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (- x z) y))) |
(+ 1 (* -1 (/ (- (+ x (/ (* z (- x z)) y)) z) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow z 2) (- x z)) y)) (* z (- x z))) y))) z) y))) |
(* -1 (/ (- x y) y)) |
(+ (* -1 (/ (- x y) y)) (* z (- (/ 1 y) (/ x (pow y 2))))) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2))))) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2))))) |
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(/ (- (+ x (/ (* (pow y 3) (- x y)) (pow z 3))) (+ y (+ (* -1 (/ (* y (- x y)) z)) (* -1 (/ (* (pow y 2) (- x y)) (pow z 2)))))) z) |
(/ (- x y) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (* y (- x y)) z))) z)) |
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1 |
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1 |
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1 |
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(+ 1 (* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y)))) |
(* -1 (/ y z)) |
(/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow z 2)))) (/ (pow y 2) z)) z) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow z 3)))) (+ (/ (pow y 2) z) (/ (pow y 3) (pow z 2)))) z) |
(* -1 (/ y z)) |
(* -1 (/ (+ y (/ (pow y 2) z)) z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (pow y 3) z)) (pow y 2)) z))) z)) |
(* -1 (/ (+ y (* -1 (/ (- (* -1 (/ (- (/ (pow y 4) z) (* -1 (pow y 3))) z)) (pow y 2)) z))) z)) |
(* -1 z) |
(- y z) |
(- y z) |
(- y z) |
y |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
(* y (+ 1 (* -1 (/ z y)))) |
y |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
(* -1 (* y (- (/ z y) 1))) |
y |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(+ y (* -1 z)) |
(* -1 z) |
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(* z (- (/ y z) 1)) |
(* z (- (/ y z) 1)) |
(* -1 z) |
(* -1 (* z (+ 1 (* -1 (/ y z))))) |
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(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
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(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(/ x z) |
(+ (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
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1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ z y))) |
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(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow z 2) (- (* -1 x) (* -1 z))) (pow y 3)))) (+ (* -1 (/ z y)) (* -1 (/ (* z (- (* -1 x) (* -1 z))) (pow y 2))))) |
1 |
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(* -1 (/ (- x y) y)) |
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(+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2))))) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2))))) |
(/ (- x y) z) |
(/ (- (+ x (/ (* y (- x y)) z)) y) z) |
(/ (- (+ x (/ (* (pow y 2) (- x y)) (pow z 2))) (+ y (* -1 (/ (* y (- x y)) z)))) z) |
(/ (- (+ x (/ (* (pow y 3) (- x y)) (pow z 3))) (+ y (+ (* -1 (/ (* y (- x y)) z)) (* -1 (/ (* (pow y 2) (- x y)) (pow z 2)))))) z) |
(/ (- x y) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (* y (- x y)) z))) z)) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* y (- x y)) (/ (* (pow y 2) (- x y)) z)) z))) z)) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- x y))) (* -1 (/ (* (pow y 3) (- x y)) z))) z)) (* y (- x y))) z))) z)) |
(+ 1 (/ z y)) |
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(* -1 (/ x y)) |
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(* x (- (+ (/ 1 x) (/ z (* x y))) (/ 1 y))) |
(* x (- (+ (/ 1 x) (/ z (* x y))) (/ 1 y))) |
(* -1 (/ x y)) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ z y))) x)) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ z y))) x)) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ z y))) x)) (/ 1 y)))) |
(- 1 (/ x y)) |
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(/ z y) |
(* z (- (+ (/ 1 y) (/ 1 z)) (/ x (* y z)))) |
(* z (- (+ (/ 1 y) (/ 1 z)) (/ x (* y z)))) |
(* z (- (+ (/ 1 y) (/ 1 z)) (/ x (* y z)))) |
(/ z y) |
(* -1 (* z (- (* -1 (/ (- 1 (/ x y)) z)) (/ 1 y)))) |
(* -1 (* z (- (* -1 (/ (- 1 (/ x y)) z)) (/ 1 y)))) |
(* -1 (* z (- (* -1 (/ (- 1 (/ x y)) z)) (/ 1 y)))) |
(/ (- z x) y) |
(/ (- (+ y z) x) y) |
(/ (- (+ y z) x) y) |
(/ (- (+ y z) x) y) |
1 |
(- (+ 1 (/ z y)) (/ x y)) |
(- (+ 1 (/ z y)) (/ x y)) |
(- (+ 1 (/ z y)) (/ x y)) |
1 |
(+ 1 (* -1 (/ (- x z) y))) |
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(/ z y) |
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(/ z y) |
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(* -1 (/ y (- z y))) |
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(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
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(/ x (- z y)) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(/ x (- z y)) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(/ x z) |
(+ (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3))))) (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ z y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* z (- (* -1 x) (* -1 z))) (pow y 2)))) (* -1 (/ z y))) |
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1 |
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(* -1 (/ (- x y) y)) |
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(/ (- (+ x (/ (* (pow y 3) (- x y)) (pow z 3))) (+ y (+ (* -1 (/ (* y (- x y)) z)) (* -1 (/ (* (pow y 2) (- x y)) (pow z 2)))))) z) |
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(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -1 (/ y (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(/ x (- z y)) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(/ x (- z y)) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(/ x z) |
(+ (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3))))) (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ z y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* z (- (* -1 x) (* -1 z))) (pow y 2)))) (* -1 (/ z y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow z 2) (- (* -1 x) (* -1 z))) (pow y 3)))) (+ (* -1 (/ z y)) (* -1 (/ (* z (- (* -1 x) (* -1 z))) (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (- x z) y))) |
(+ 1 (* -1 (/ (- (+ x (/ (* z (- x z)) y)) z) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow z 2) (- x z)) y)) (* z (- x z))) y))) z) y))) |
(* -1 (/ (- x y) y)) |
(+ (* -1 (/ (- x y) y)) (* z (- (/ 1 y) (/ x (pow y 2))))) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2))))) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2))))) |
(/ (- x y) z) |
(/ (- (+ x (/ (* y (- x y)) z)) y) z) |
(/ (- (+ x (/ (* (pow y 2) (- x y)) (pow z 2))) (+ y (* -1 (/ (* y (- x y)) z)))) z) |
(/ (- (+ x (/ (* (pow y 3) (- x y)) (pow z 3))) (+ y (+ (* -1 (/ (* y (- x y)) z)) (* -1 (/ (* (pow y 2) (- x y)) (pow z 2)))))) z) |
(/ (- x y) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (* y (- x y)) z))) z)) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* y (- x y)) (/ (* (pow y 2) (- x y)) z)) z))) z)) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- x y))) (* -1 (/ (* (pow y 3) (- x y)) z))) z)) (* y (- x y))) z))) z)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(/ x (- z y)) |
(* -1 (/ x y)) |
(+ (* -1 (/ x y)) (* -1 (/ (* x z) (pow y 2)))) |
(+ (* -1 (/ x y)) (* z (- (* -1 (/ (* x z) (pow y 3))) (/ x (pow y 2))))) |
(+ (* -1 (/ x y)) (* z (- (* z (- (* -1 (/ (* x z) (pow y 4))) (/ x (pow y 3)))) (/ x (pow y 2))))) |
(/ x z) |
(/ (+ x (/ (* x y) z)) z) |
(/ (- (+ x (/ (* x (pow y 2)) (pow z 2))) (* -1 (/ (* x y) z))) z) |
(/ (- (+ x (/ (* x (pow y 3)) (pow z 3))) (+ (* -1 (/ (* x y) z)) (* -1 (/ (* x (pow y 2)) (pow z 2))))) z) |
(/ x z) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* x y) z))) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* x y) (/ (* x (pow y 2)) z)) z))) z)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* x (pow y 2))) (* -1 (/ (* x (pow y 3)) z))) z)) (* x y)) z))) z)) |
(/ x z) |
(+ (/ x z) (/ (* x y) (pow z 2))) |
(+ (* y (- (/ (* x y) (pow z 3)) (* -1 (/ x (pow z 2))))) (/ x z)) |
(+ (* y (- (* y (- (/ (* x y) (pow z 4)) (* -1 (/ x (pow z 3))))) (* -1 (/ x (pow z 2))))) (/ x z)) |
(* -1 (/ x y)) |
(/ (+ (* -1 x) (* -1 (/ (* x z) y))) y) |
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow z 2)) (pow y 2)))) (/ (* x z) y)) y) |
(/ (- (+ (* -1 x) (* -1 (/ (* x (pow z 3)) (pow y 3)))) (+ (/ (* x z) y) (/ (* x (pow z 2)) (pow y 2)))) y) |
(* -1 (/ x y)) |
(* -1 (/ (+ x (/ (* x z) y)) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (* x (pow z 2)) y)) (* x z)) y))) y)) |
(* -1 (/ (+ x (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 3)) y) (* -1 (* x (pow z 2)))) y)) (* x z)) y))) y)) |
(* -1 y) |
(- z y) |
(- z y) |
(- z y) |
z |
(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ 1 (* -1 (/ y z)))) |
(* z (+ 1 (* -1 (/ y z)))) |
z |
(* -1 (* z (- (/ y z) 1))) |
(* -1 (* z (- (/ y z) 1))) |
(* -1 (* z (- (/ y z) 1))) |
z |
(+ z (* -1 y)) |
(+ z (* -1 y)) |
(+ z (* -1 y)) |
(* -1 y) |
(* y (- (/ z y) 1)) |
(* y (- (/ z y) 1)) |
(* y (- (/ z y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 (* y (+ 1 (* -1 (/ z y))))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (/ y (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(/ x (- z y)) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(/ x (- z y)) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(/ x z) |
(+ (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3))))) (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ z y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* z (- (* -1 x) (* -1 z))) (pow y 2)))) (* -1 (/ z y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow z 2) (- (* -1 x) (* -1 z))) (pow y 3)))) (+ (* -1 (/ z y)) (* -1 (/ (* z (- (* -1 x) (* -1 z))) (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (- x z) y))) |
(+ 1 (* -1 (/ (- (+ x (/ (* z (- x z)) y)) z) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow z 2) (- x z)) y)) (* z (- x z))) y))) z) y))) |
(* -1 (/ (- x y) y)) |
(+ (* -1 (/ (- x y) y)) (* z (- (/ 1 y) (/ x (pow y 2))))) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2))))) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2))))) |
(/ (- x y) z) |
(/ (- (+ x (/ (* y (- x y)) z)) y) z) |
(/ (- (+ x (/ (* (pow y 2) (- x y)) (pow z 2))) (+ y (* -1 (/ (* y (- x y)) z)))) z) |
(/ (- (+ x (/ (* (pow y 3) (- x y)) (pow z 3))) (+ y (+ (* -1 (/ (* y (- x y)) z)) (* -1 (/ (* (pow y 2) (- x y)) (pow z 2)))))) z) |
(/ (- x y) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (* y (- x y)) z))) z)) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* y (- x y)) (/ (* (pow y 2) (- x y)) z)) z))) z)) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- x y))) (* -1 (/ (* (pow y 3) (- x y)) z))) z)) (* y (- x y))) z))) z)) |
(* -1 (/ y z)) |
(+ (* -1 (/ y z)) (/ x z)) |
(+ (* -1 (/ y z)) (/ x z)) |
(+ (* -1 (/ y z)) (/ x z)) |
(/ x z) |
(* x (+ (* -1 (/ y (* x z))) (/ 1 z))) |
(* x (+ (* -1 (/ y (* x z))) (/ 1 z))) |
(* x (+ (* -1 (/ y (* x z))) (/ 1 z))) |
(/ x z) |
(* -1 (* x (- (/ y (* x z)) (/ 1 z)))) |
(* -1 (* x (- (/ y (* x z)) (/ 1 z)))) |
(* -1 (* x (- (/ y (* x z)) (/ 1 z)))) |
(/ x z) |
(+ (* -1 (/ y z)) (/ x z)) |
(+ (* -1 (/ y z)) (/ x z)) |
(+ (* -1 (/ y z)) (/ x z)) |
(* -1 (/ y z)) |
(* y (- (/ x (* y z)) (/ 1 z))) |
(* y (- (/ x (* y z)) (/ 1 z))) |
(* y (- (/ x (* y z)) (/ 1 z))) |
(* -1 (/ y z)) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))) |
(/ (- x y) z) |
(/ (- x y) z) |
(/ (- x y) z) |
(/ (- x y) z) |
(/ (- x y) z) |
(/ (- x y) z) |
(/ (- x y) z) |
(/ (- x y) z) |
(/ (- x y) z) |
(/ (- x y) z) |
(/ (- x y) z) |
(/ (- x y) z) |
(* -1 y) |
(- x y) |
(- x y) |
(- x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
(* x (+ 1 (* -1 (/ y x)))) |
x |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
(* -1 (* x (- (/ y x) 1))) |
x |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(+ x (* -1 y)) |
(* -1 y) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* y (- (/ x y) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
| Outputs |
|---|
(* -1 (/ y (- z y))) |
(/.f64 y (-.f64 y z)) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(fma.f64 (/.f64 y (*.f64 (-.f64 y z) x)) x (/.f64 x (-.f64 z y))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(fma.f64 (/.f64 y (*.f64 (-.f64 y z) x)) x (/.f64 x (-.f64 z y))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(fma.f64 (/.f64 y (*.f64 (-.f64 y z) x)) x (/.f64 x (-.f64 z y))) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y (*.f64 x (-.f64 z y))) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y (*.f64 x (-.f64 z y))) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(*.f64 (neg.f64 x) (-.f64 (/.f64 y (*.f64 x (-.f64 z y))) (/.f64 #s(literal 1 binary64) (-.f64 z y)))) |
(/ x z) |
(/.f64 x z) |
(+ (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(fma.f64 (-.f64 (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) y (/.f64 x z)) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(fma.f64 (fma.f64 (-.f64 (/.f64 x (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) y (-.f64 (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))) y (/.f64 x z)) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3))))) (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 (*.f64 z z) z)) (/.f64 x (pow.f64 z #s(literal 4 binary64)))) (-.f64 (/.f64 x (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) (*.f64 z z)))) y (-.f64 (/.f64 x (*.f64 z z)) (/.f64 #s(literal 1 binary64) z))) y (/.f64 x z)) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ z y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* z (- (* -1 x) (* -1 z))) (pow y 2)))) (* -1 (/ z y))) |
(+.f64 (fma.f64 (/.f64 (-.f64 z x) (*.f64 y y)) z (/.f64 (-.f64 z x) y)) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow z 2) (- (* -1 x) (* -1 z))) (pow y 3)))) (+ (* -1 (/ z y)) (* -1 (/ (* z (- (* -1 x) (* -1 z))) (pow y 2))))) |
(+.f64 (fma.f64 (/.f64 (-.f64 z x) (*.f64 (*.f64 y y) y)) (*.f64 z z) (fma.f64 (/.f64 (-.f64 z x) (*.f64 y y)) z (/.f64 (-.f64 z x) y))) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(+ 1 (* -1 (/ (- (+ x (/ (* z (- x z)) y)) z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x z) y) z (-.f64 x z)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow z 2) (- x z)) y)) (* z (- x z))) y))) z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x z) (fma.f64 z (/.f64 z y) z)) y) x) z) y)) |
(* -1 (/ (- x y) y)) |
(/.f64 (-.f64 y x) y) |
(+ (* -1 (/ (- x y) y)) (* z (- (/ 1 y) (/ x (pow y 2))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))) z (/.f64 (-.f64 y x) y)) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 (*.f64 y y) y))) z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)))) z (/.f64 (-.f64 y x) y)) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2))))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 (*.f64 y y) y))) (-.f64 (/.f64 z y) #s(literal -1 binary64))) z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)))) z (/.f64 (-.f64 y x) y)) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(/ (- (+ x (/ (* y (- x y)) z)) y) z) |
(/.f64 (fma.f64 (/.f64 (-.f64 x y) z) y (-.f64 x y)) z) |
(/ (- (+ x (/ (* (pow y 2) (- x y)) (pow z 2))) (+ y (* -1 (/ (* y (- x y)) z)))) z) |
(/.f64 (-.f64 x (-.f64 y (*.f64 (/.f64 (-.f64 x y) z) (fma.f64 y (/.f64 y z) y)))) z) |
(/ (- (+ x (/ (* (pow y 3) (- x y)) (pow z 3))) (+ y (+ (* -1 (/ (* y (- x y)) z)) (* -1 (/ (* (pow y 2) (- x y)) (pow z 2)))))) z) |
(/.f64 (-.f64 (+.f64 (fma.f64 (-.f64 x y) (*.f64 (*.f64 y y) (/.f64 y (*.f64 (*.f64 z z) z))) x) (*.f64 (/.f64 (-.f64 x y) z) (fma.f64 y (/.f64 y z) y))) y) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (* y (- x y)) z))) z)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x y) z) y (-.f64 x y)) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* y (- x y)) (/ (* (pow y 2) (- x y)) z)) z))) z)) |
(/.f64 (-.f64 x (-.f64 y (/.f64 (*.f64 (-.f64 x y) (fma.f64 y (/.f64 y z) y)) z))) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- x y))) (* -1 (/ (* (pow y 3) (- x y)) z))) z)) (* y (- x y))) z))) z)) |
(/.f64 (-.f64 x (-.f64 y (/.f64 (fma.f64 (-.f64 x y) y (/.f64 (*.f64 (-.f64 x y) (*.f64 y (fma.f64 y (/.f64 y z) y))) z)) z))) z) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(* y (- (* -1 (/ y (pow z 2))) (/ 1 z))) |
(/.f64 (fma.f64 y (/.f64 y z) y) (neg.f64 z)) |
(* y (- (* y (- (* -1 (/ y (pow z 3))) (/ 1 (pow z 2)))) (/ 1 z))) |
(*.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 z z)) (/.f64 y (*.f64 (*.f64 z z) z))) y (/.f64 #s(literal -1 binary64) z)) y) |
(* y (- (* y (- (* y (- (* -1 (/ y (pow z 4))) (/ 1 (pow z 3)))) (/ 1 (pow z 2)))) (/ 1 z))) |
(*.f64 (fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 z z) z)) (/.f64 y (pow.f64 z #s(literal 4 binary64)))) y (/.f64 #s(literal -1 binary64) (*.f64 z z))) y (/.f64 #s(literal -1 binary64) z)) y) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ z y)) |
(+.f64 (/.f64 z y) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow z 2) (pow y 2))) (* -1 (/ z y))) |
(fma.f64 (/.f64 z y) (-.f64 (/.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(- (+ 1 (/ (pow z 3) (pow y 3))) (+ (* -1 (/ z y)) (* -1 (/ (pow z 2) (pow y 2))))) |
(fma.f64 (/.f64 z (*.f64 y y)) (fma.f64 z (/.f64 z y) z) (+.f64 (/.f64 z y) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ z y)) |
(+.f64 (/.f64 z y) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (pow z 2) y)) z) y))) |
(fma.f64 (/.f64 z y) (-.f64 (/.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* -1 (/ (- (* -1 (/ (- (/ (pow z 3) y) (* -1 (pow z 2))) y)) z) y))) |
(+.f64 (/.f64 (+.f64 (/.f64 (*.f64 z (fma.f64 z (/.f64 z y) z)) y) z) y) #s(literal 1 binary64)) |
1 |
#s(literal 1 binary64) |
(+ 1 (/ z y)) |
(+.f64 (/.f64 z y) #s(literal 1 binary64)) |
(+ 1 (* z (+ (/ 1 y) (/ z (pow y 2))))) |
(fma.f64 (/.f64 z y) (-.f64 (/.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(+ 1 (* z (+ (* z (+ (/ 1 (pow y 2)) (/ z (pow y 3)))) (/ 1 y)))) |
(fma.f64 (/.f64 z (*.f64 y y)) (fma.f64 z (/.f64 z y) z) (+.f64 (/.f64 z y) #s(literal 1 binary64))) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(/ (+ (* -1 y) (* -1 (/ (pow y 2) z))) z) |
(/.f64 (fma.f64 y (/.f64 y z) y) (neg.f64 z)) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 3) (pow z 2)))) (/ (pow y 2) z)) z) |
(/.f64 (+.f64 (/.f64 (*.f64 y (fma.f64 y (/.f64 y z) y)) z) y) (neg.f64 z)) |
(/ (- (+ (* -1 y) (* -1 (/ (pow y 4) (pow z 3)))) (+ (/ (pow y 2) z) (/ (pow y 3) (pow z 2)))) z) |
(/.f64 (neg.f64 (+.f64 (/.f64 (*.f64 y (fma.f64 y (/.f64 y z) y)) z) (+.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (*.f64 (*.f64 z z) z)) y))) z) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
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(* -1 (/ (- x y) y)) |
(/.f64 (-.f64 y x) y) |
(+ (* -1 (/ (- x y) y)) (* z (- (/ 1 y) (/ x (pow y 2))))) |
(fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y))) z (/.f64 (-.f64 y x) y)) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2))))) |
(fma.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 (*.f64 y y) y))) z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)))) z (/.f64 (-.f64 y x) y)) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2))))) |
(fma.f64 (fma.f64 (*.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 (*.f64 y y) y))) (-.f64 (/.f64 z y) #s(literal -1 binary64))) z (-.f64 (/.f64 #s(literal 1 binary64) y) (/.f64 x (*.f64 y y)))) z (/.f64 (-.f64 y x) y)) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(/ (- (+ x (/ (* y (- x y)) z)) y) z) |
(/.f64 (fma.f64 (/.f64 (-.f64 x y) z) y (-.f64 x y)) z) |
(/ (- (+ x (/ (* (pow y 2) (- x y)) (pow z 2))) (+ y (* -1 (/ (* y (- x y)) z)))) z) |
(/.f64 (-.f64 x (-.f64 y (*.f64 (/.f64 (-.f64 x y) z) (fma.f64 y (/.f64 y z) y)))) z) |
(/ (- (+ x (/ (* (pow y 3) (- x y)) (pow z 3))) (+ y (+ (* -1 (/ (* y (- x y)) z)) (* -1 (/ (* (pow y 2) (- x y)) (pow z 2)))))) z) |
(/.f64 (-.f64 (+.f64 (fma.f64 (-.f64 x y) (*.f64 (*.f64 y y) (/.f64 y (*.f64 (*.f64 z z) z))) x) (*.f64 (/.f64 (-.f64 x y) z) (fma.f64 y (/.f64 y z) y))) y) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (* y (- x y)) z))) z)) |
(/.f64 (fma.f64 (/.f64 (-.f64 x y) z) y (-.f64 x y)) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* y (- x y)) (/ (* (pow y 2) (- x y)) z)) z))) z)) |
(/.f64 (-.f64 x (-.f64 y (/.f64 (*.f64 (-.f64 x y) (fma.f64 y (/.f64 y z) y)) z))) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- x y))) (* -1 (/ (* (pow y 3) (- x y)) z))) z)) (* y (- x y))) z))) z)) |
(/.f64 (-.f64 x (-.f64 y (/.f64 (fma.f64 (-.f64 x y) y (/.f64 (*.f64 (-.f64 x y) (*.f64 y (fma.f64 y (/.f64 y z) y))) z)) z))) z) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(+ (* -1 (/ y z)) (/ x z)) |
(/.f64 (-.f64 x y) z) |
(+ (* -1 (/ y z)) (/ x z)) |
(/.f64 (-.f64 x y) z) |
(+ (* -1 (/ y z)) (/ x z)) |
(/.f64 (-.f64 x y) z) |
(/ x z) |
(/.f64 x z) |
(* x (+ (* -1 (/ y (* x z))) (/ 1 z))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 x z))) x) |
(* x (+ (* -1 (/ y (* x z))) (/ 1 z))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 x z))) x) |
(* x (+ (* -1 (/ y (* x z))) (/ 1 z))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 x z))) x) |
(/ x z) |
(/.f64 x z) |
(* -1 (* x (- (/ y (* x z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 x z))) x) |
(* -1 (* x (- (/ y (* x z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 x z))) x) |
(* -1 (* x (- (/ y (* x z)) (/ 1 z)))) |
(*.f64 (-.f64 (/.f64 #s(literal 1 binary64) z) (/.f64 y (*.f64 x z))) x) |
(/ x z) |
(/.f64 x z) |
(+ (* -1 (/ y z)) (/ x z)) |
(/.f64 (-.f64 x y) z) |
(+ (* -1 (/ y z)) (/ x z)) |
(/.f64 (-.f64 x y) z) |
(+ (* -1 (/ y z)) (/ x z)) |
(/.f64 (-.f64 x y) z) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(* y (- (/ x (* y z)) (/ 1 z))) |
(*.f64 (/.f64 (/.f64 (-.f64 y x) y) z) (neg.f64 y)) |
(* y (- (/ x (* y z)) (/ 1 z))) |
(*.f64 (/.f64 (/.f64 (-.f64 y x) y) z) (neg.f64 y)) |
(* y (- (/ x (* y z)) (/ 1 z))) |
(*.f64 (/.f64 (/.f64 (-.f64 y x) y) z) (neg.f64 y)) |
(* -1 (/ y z)) |
(/.f64 (neg.f64 y) z) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))) |
(*.f64 (/.f64 (/.f64 (-.f64 y x) y) z) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))) |
(*.f64 (/.f64 (/.f64 (-.f64 y x) y) z) (neg.f64 y)) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))) |
(*.f64 (/.f64 (/.f64 (-.f64 y x) y) z) (neg.f64 y)) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(* -1 y) |
(neg.f64 y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
(- x y) |
(-.f64 x y) |
x |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* x (+ 1 (* -1 (/ y x)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
x |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
(* -1 (* x (- (/ y x) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 y x)) x) |
x |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(+ x (* -1 y)) |
(-.f64 x y) |
(* -1 y) |
(neg.f64 y) |
(* y (- (/ x y) 1)) |
(*.f64 (/.f64 (-.f64 x y) y) y) |
(* y (- (/ x y) 1)) |
(*.f64 (/.f64 (-.f64 x y) y) y) |
(* y (- (/ x y) 1)) |
(*.f64 (/.f64 (-.f64 x y) y) y) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (/.f64 (-.f64 x y) y) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (/.f64 (-.f64 x y) y) y) |
(* -1 (* y (+ 1 (* -1 (/ x y))))) |
(*.f64 (/.f64 (-.f64 x y) y) y) |
| 2 581× | lower-/.f32 |
| 2 576× | lower-/.f64 |
| 2 317× | lower-*.f64 |
| 2 317× | lower-*.f32 |
| 1 599× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 130 |
| 0 | 32 | 130 |
| 1 | 140 | 130 |
| 2 | 1040 | 130 |
| 0 | 8511 | 130 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) |
(/.f64 y (-.f64 y z)) |
(-.f64 y z) |
#s(approx (/ (- x y) (- z y)) #s(approx (- 1 (/ (- x z) y)) (/.f64 z y))) |
#s(approx (- 1 (/ (- x z) y)) (/.f64 z y)) |
(/.f64 z y) |
#s(approx (/ (- x y) (- z y)) (/.f64 x z)) |
(/.f64 x z) |
#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) |
(/.f64 x #s(approx (- z y) (neg.f64 y))) |
#s(approx (- z y) (neg.f64 y)) |
(neg.f64 y) |
#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) |
(/.f64 #s(approx (- x y) (neg.f64 y)) z) |
#s(approx (- x y) (neg.f64 y)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) |
(*.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (-.f64 y z))) |
(*.f64 (/.f64 y (*.f64 (+.f64 z y) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 z y)))) |
(*.f64 (/.f64 y (*.f64 (+.f64 z y) (-.f64 y z))) (+.f64 z y)) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z y) (*.f64 y y))))) |
(*.f64 (/.f64 y (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z))) (fma.f64 z (+.f64 z y) (*.f64 y y))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) y) |
(*.f64 (neg.f64 (neg.f64 y)) (/.f64 #s(literal 1 binary64) (-.f64 y z))) |
(*.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) (-.f64 y z))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (-.f64 y z) y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (neg.f64 (-.f64 y z)))) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y z)))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (-.f64 y z))) |
(*.f64 y (/.f64 #s(literal 1 binary64) (-.f64 y z))) |
(pow.f64 (/.f64 (-.f64 y z) y) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 y z))) #s(literal 3 binary64)) (pow.f64 (/.f64 y (neg.f64 (-.f64 y z))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 y z))) (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 y z))) (fma.f64 (/.f64 y (neg.f64 (-.f64 y z))) (/.f64 y (neg.f64 (-.f64 y z))) (*.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 y z))) (/.f64 y (neg.f64 (-.f64 y z))))))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 (-.f64 y z))))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 (-.f64 y z))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 (-.f64 y z))) (*.f64 (neg.f64 (-.f64 y z)) y)) (*.f64 (neg.f64 (-.f64 y z)) (neg.f64 (-.f64 y z)))) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 (-.f64 y z)))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (-.f64 y z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (-.f64 y z) y))) |
(/.f64 (neg.f64 y) (neg.f64 (-.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) (*.f64 y #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (-.f64 y z) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y z) y)) |
(/.f64 y (-.f64 y z)) |
(neg.f64 (/.f64 (neg.f64 y) (-.f64 y z))) |
(neg.f64 (/.f64 y (neg.f64 (-.f64 y z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 y z))) (/.f64 y (neg.f64 (-.f64 y z)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (-.f64 y z) y)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (neg.f64 (+.f64 z y)))) |
(*.f64 (neg.f64 (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y))))) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (-.f64 y (neg.f64 z)))) |
(*.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (+.f64 z y))) |
(*.f64 (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z)))))) |
(*.f64 (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z)) (/.f64 #s(literal 1 binary64) (fma.f64 z (+.f64 z y) (*.f64 y y)))) |
(*.f64 #s(literal 1 binary64) (-.f64 y z)) |
(*.f64 (-.f64 y z) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 z (+.f64 z y) (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 z (+.f64 z y) (*.f64 y y))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 z (+.f64 z y) (*.f64 y y))) (fma.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 z (+.f64 z y) (*.f64 y y))) (*.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 z (+.f64 z y) (*.f64 y y))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (+.f64 z y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z z) (+.f64 z y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 y y) (+.f64 z y)) (fma.f64 (/.f64 (*.f64 z z) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)) (*.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y)))))) |
(/.f64 (fma.f64 (*.f64 z z) (neg.f64 z) (*.f64 (*.f64 y y) y)) (fma.f64 z z (-.f64 (*.f64 y y) (*.f64 (neg.f64 z) y)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z)))) (neg.f64 (neg.f64 (+.f64 z y)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z)))) (neg.f64 (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 y y) y) (fma.f64 z (+.f64 z y) (*.f64 y y))) (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (*.f64 (*.f64 z z) z))) (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (fma.f64 z (+.f64 z y) (*.f64 y y)))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 z y)) (*.f64 (+.f64 z y) (*.f64 z z))) (*.f64 (+.f64 z y) (+.f64 z y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (neg.f64 (-.f64 y (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 z y) (-.f64 y z))) (neg.f64 (+.f64 z y))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z))) (neg.f64 (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z)))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z))) (neg.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)))) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (-.f64 y (neg.f64 z))) |
(/.f64 (*.f64 (+.f64 z y) (-.f64 y z)) (+.f64 z y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)))) |
(/.f64 (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z)) (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z))))) |
(/.f64 (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z)) (fma.f64 z (+.f64 z y) (*.f64 y y))) |
(/.f64 (neg.f64 (-.f64 y z)) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (neg.f64 z)) (*.f64 (+.f64 z y) (-.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (*.f64 z z) (*.f64 y (neg.f64 z)))) (*.f64 (fma.f64 z (+.f64 z y) (*.f64 y y)) (-.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (-.f64 y z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (-.f64 y z))) |
(/.f64 (-.f64 y z) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) z y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (neg.f64 z))) (/.f64 (*.f64 z z) (-.f64 y (neg.f64 z)))) |
(-.f64 (/.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 z (+.f64 z y) (*.f64 y y))) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 z (+.f64 z y) (*.f64 y y))) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (+.f64 z y)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 z z) (+.f64 z y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (*.f64 (*.f64 y y) y) (fma.f64 z (+.f64 z y) (*.f64 y y))) (/.f64 (*.f64 (*.f64 z z) z) (fma.f64 z (+.f64 z y) (*.f64 y y)))) |
(-.f64 (/.f64 (*.f64 y y) (+.f64 z y)) (/.f64 (*.f64 z z) (+.f64 z y))) |
(-.f64 (*.f64 y #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64))) |
(-.f64 y z) |
(+.f64 (neg.f64 z) y) |
(+.f64 y (neg.f64 z)) |
#s(approx (/ (- x y) (- z y)) #s(approx (- 1 (/ (- x z) y)) (/.f64 z y))) |
#s(approx (- 1 (/ (- x z) y)) (/.f64 z y)) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 (neg.f64 (neg.f64 z)) (/.f64 #s(literal 1 binary64) y)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y z)))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) z) |
(*.f64 (neg.f64 z) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 #s(literal 1 binary64) (/.f64 z y)) |
(*.f64 z (/.f64 #s(literal 1 binary64) y)) |
(pow.f64 (/.f64 y z) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (*.f64 z #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y z))) |
(/.f64 (neg.f64 z) (neg.f64 y)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 z y) |
(neg.f64 (/.f64 z (neg.f64 y))) |
(neg.f64 (/.f64 (neg.f64 z) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 z (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x z)) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 #s(literal 1 binary64) (/.f64 x z)) |
(*.f64 x (/.f64 #s(literal 1 binary64) z)) |
(pow.f64 (/.f64 z x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z x))) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(/.f64 x z) |
(neg.f64 (/.f64 (neg.f64 x) z)) |
(neg.f64 (/.f64 x (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 x (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) #s(approx (- z y) (neg.f64 y)))) |
(*.f64 (neg.f64 (neg.f64 x)) (/.f64 #s(literal 1 binary64) #s(approx (- z y) (neg.f64 y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) x)))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- z y) (neg.f64 y))) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) #s(approx (- z y) (neg.f64 y))) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 #s(approx (- z y) (neg.f64 y))))) |
(*.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- z y) (neg.f64 y)))) |
(*.f64 x (/.f64 #s(literal 1 binary64) #s(approx (- z y) (neg.f64 y)))) |
(pow.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 #s(approx (- z y) (neg.f64 y)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 #s(approx (- z y) (neg.f64 y)))))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (- z y) (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 #s(approx (- z y) (neg.f64 y))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) x))) |
(/.f64 (neg.f64 x) (neg.f64 #s(approx (- z y) (neg.f64 y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z y) (neg.f64 y)) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- z y) (neg.f64 y)) x)) |
(/.f64 x #s(approx (- z y) (neg.f64 y))) |
(neg.f64 (/.f64 (neg.f64 x) #s(approx (- z y) (neg.f64 y)))) |
(neg.f64 (/.f64 x (neg.f64 #s(approx (- z y) (neg.f64 y))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- z y) (neg.f64 y)))) (/.f64 x (neg.f64 #s(approx (- z y) (neg.f64 y))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- z y) (neg.f64 y)) x)) #s(literal -1 binary64))) |
#s(approx (- z y) (neg.f64 y)) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) y))) |
(*.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) y)) (/.f64 #s(literal 1 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(*.f64 #s(literal -1 binary64) y) |
(*.f64 y #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) (neg.f64 y))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 y y) (*.f64 #s(literal 0 binary64) (neg.f64 y))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y))) (neg.f64 (+.f64 #s(literal 0 binary64) y))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) y))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) y)) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) y) (-.f64 #s(literal 0 binary64) (*.f64 y y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))) (-.f64 #s(literal 0 binary64) (*.f64 (*.f64 y y) y)))) |
(neg.f64 y) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) y)) (/.f64 (*.f64 y y) (+.f64 #s(literal 0 binary64) y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y)))) (/.f64 (*.f64 (*.f64 y y) y) (+.f64 #s(literal 0 binary64) (fma.f64 y y (*.f64 #s(literal 0 binary64) y))))) |
(-.f64 #s(literal 0 binary64) y) |
(+.f64 #s(literal 0 binary64) (neg.f64 y)) |
#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) |
(*.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 1 binary64)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 (neg.f64 (neg.f64 #s(approx (- x y) (neg.f64 y)))) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 z #s(approx (- x y) (neg.f64 y)))))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) #s(approx (- x y) (neg.f64 y))) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) #s(approx (- x y) (neg.f64 y))) |
(*.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 #s(approx (- x y) (neg.f64 y)) (/.f64 #s(literal 1 binary64) z)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) |
(pow.f64 (/.f64 z #s(approx (- x y) (neg.f64 y))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (*.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 1 binary64)) z) |
(/.f64 (neg.f64 (neg.f64 #s(approx (- x y) (neg.f64 y)))) (neg.f64 (neg.f64 z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z #s(approx (- x y) (neg.f64 y))))) |
(/.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))) (neg.f64 z)) |
(/.f64 #s(approx (- x y) (neg.f64 y)) z) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 #s(approx (- x y) (neg.f64 y)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z #s(approx (- x y) (neg.f64 y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 z #s(approx (- x y) (neg.f64 y)))) |
(neg.f64 (/.f64 (neg.f64 #s(approx (- x y) (neg.f64 y))) z)) |
(neg.f64 (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 #s(approx (- x y) (neg.f64 y)) (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z #s(approx (- x y) (neg.f64 y)))) #s(literal -1 binary64))) |
#s(approx (- x y) (neg.f64 y)) |
Compiled 7 997 to 656 computations (91.8% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 652 | 0 | 652 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 652 | 11 | 663 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 z y)) |
| ✓ | 51.5% | #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) |
| ✓ | 19.9% | #s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) |
| ✓ | 54.5% | #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) |
| ✓ | 51.2% | #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) |
| ✓ | 18.1% | #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) |
| ✓ | 38.5% | #s(approx (/ (- x y) (- z y)) (/.f64 x z)) |
| ▶ | 51.4% | #s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z))) |
| ▶ | 52.3% | #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) |
| ✓ | 2.9% | #s(approx (/ (- x y) (- z y)) #s(approx (- 1 (/ (- x z) y)) (/.f64 z y))) |
| ✓ | 36.9% | #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) |
Compiled 96 to 55 computations (42.7% saved)
| 1× | egg-herbie |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y z) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z))) | |
| cost-diff | 704 | (-.f64 (/.f64 x z) (/.f64 y z)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ (- x z) y) (/.f64 x y)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y))) | |
| cost-diff | 0 | #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) |
| 366× | lower-fma.f64 |
| 366× | lower-fma.f32 |
| 220× | lower-*.f64 |
| 220× | lower-*.f32 |
| 215× | times-frac |
Useful iterations: 8 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 76 |
| 0 | 22 | 76 |
| 1 | 38 | 76 |
| 2 | 58 | 76 |
| 3 | 99 | 76 |
| 4 | 174 | 76 |
| 5 | 293 | 76 |
| 6 | 658 | 76 |
| 7 | 1316 | 76 |
| 8 | 1605 | 72 |
| 9 | 1661 | 72 |
| 10 | 1675 | 72 |
| 11 | 1680 | 72 |
| 0 | 1680 | 72 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y))) |
#s(literal 1 binary64) |
#s(approx (/ (- x z) y) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z))) |
(-.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 x z) |
x |
z |
(/.f64 y z) |
y |
| Outputs |
|---|
#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y))) |
#s(literal 1 binary64) |
#s(approx (/ (- x z) y) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z))) |
#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) |
(-.f64 (/.f64 x z) (/.f64 y z)) |
(/.f64 (-.f64 x y) z) |
(/.f64 x z) |
x |
z |
(/.f64 y z) |
y |
Found 8 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 y z) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 2.511706364981235 | (-.f64 (/.f64 x z) (/.f64 y z)) | |
| accuracy | 31.053008571596212 | #s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z))) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y))) | |
| accuracy | 29.773950848773836 | #s(approx (/ (- x z) y) (/.f64 x y)) | |
| accuracy | 30.70903020380547 | #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) |
| 26.0ms | 256× | 0 | valid |
Compiled 50 to 16 computations (68% saved)
ival-div: 8.0ms (47.4% of total)ival-sub: 8.0ms (47.4% 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) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y))) (patch (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x z) y) (/.f64 x y)) (patch #s(approx (/ (- x z) y) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 x z) (/.f64 y z)) (patch (-.f64 (/.f64 x z) (/.f64 y z)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z))) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (/.f64 y z) (patch (/.f64 y z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* -1 (/ y (- z y))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- z y))) (/ x (- z y))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- z y))) (/ x (- z y))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ y (- z y))) (/ x (- z y))) (taylor 0 x) (#s(alt #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- z y)) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) (taylor inf x) (#s(alt #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- z y)) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) (taylor -inf x) (#s(alt #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) (patch #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
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63 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | inf | (/ y z) |
| 0.0ms | x | @ | -inf | (/ x y) |
| 0.0ms | z | @ | -inf | (- (/ x z) (/ y z)) |
| 0.0ms | z | @ | 0 | (- (/ x z) (/ y z)) |
| 0.0ms | y | @ | 0 | (- (/ x z) (/ y z)) |
| 1× | egg-herbie |
| 9 455× | lower-fma.f64 |
| 9 455× | lower-fma.f32 |
| 2 703× | lower-*.f64 |
| 2 703× | lower-*.f32 |
| 1 561× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 230 | 2293 |
| 1 | 705 | 2091 |
| 2 | 2234 | 1946 |
| 0 | 8456 | 1890 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* -1 (/ y (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(/ x (- z y)) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(/ x (- z y)) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(/ x z) |
(+ (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3))))) (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ z y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* z (- (* -1 x) (* -1 z))) (pow y 2)))) (* -1 (/ z y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow z 2) (- (* -1 x) (* -1 z))) (pow y 3)))) (+ (* -1 (/ z y)) (* -1 (/ (* z (- (* -1 x) (* -1 z))) (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (- x z) y))) |
(+ 1 (* -1 (/ (- (+ x (/ (* z (- x z)) y)) z) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow z 2) (- x z)) y)) (* z (- x z))) y))) z) y))) |
(* -1 (/ (- x y) y)) |
(+ (* -1 (/ (- x y) y)) (* z (- (/ 1 y) (/ x (pow y 2))))) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2))))) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2))))) |
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(/ (- (+ x (/ (* (pow y 3) (- x y)) (pow z 3))) (+ y (+ (* -1 (/ (* y (- x y)) z)) (* -1 (/ (* (pow y 2) (- x y)) (pow z 2)))))) z) |
(/ (- x y) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (* y (- x y)) z))) z)) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* y (- x y)) (/ (* (pow y 2) (- x y)) z)) z))) z)) |
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(+ 1 (/ z y)) |
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(+ 1 (+ (* -1 (/ x y)) (/ z y))) |
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(* x (- (+ (/ 1 x) (/ z (* x y))) (/ 1 y))) |
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(* -1 (/ x y)) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ z y))) x)) (/ 1 y)))) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ z y))) x)) (/ 1 y)))) |
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(/ z y) |
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(/ z y) |
(* -1 (* z (- (* -1 (/ (- 1 (/ x y)) z)) (/ 1 y)))) |
(* -1 (* z (- (* -1 (/ (- 1 (/ x y)) z)) (/ 1 y)))) |
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(/ (- z x) y) |
(/ (- (+ y z) x) y) |
(/ (- (+ y z) x) y) |
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(- (+ 1 (/ z y)) (/ x y)) |
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(+ 1 (* -1 (/ (- x z) y))) |
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(/ x y) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(/ x y) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(/ x y) |
(+ (* -1 (/ z y)) (/ x y)) |
(+ (* -1 (/ z y)) (/ x y)) |
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(* z (- (/ x (* y z)) (/ 1 y))) |
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(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(/ (- x z) y) |
(/ (- x z) y) |
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(/ (- x z) y) |
(/ (- x z) y) |
(/ (- x z) y) |
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(/ x y) |
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(* -1 (/ y z)) |
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(* x (+ (* -1 (/ y (* x z))) (/ 1 z))) |
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(/ (- x y) z) |
(* -1 (/ (- (* -1 x) (* -1 y)) z)) |
(* -1 (/ (- (* -1 x) (* -1 y)) z)) |
(* -1 (/ (- (* -1 x) (* -1 y)) z)) |
(* -1 (/ (- (* -1 x) (* -1 y)) z)) |
(/ x z) |
(+ (* -1 (/ y z)) (/ x z)) |
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(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))) |
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(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(/ x z) |
(+ (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3))))) (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
1 |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ z y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* z (- (* -1 x) (* -1 z))) (pow y 2)))) (* -1 (/ z y))) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow z 2) (- (* -1 x) (* -1 z))) (pow y 3)))) (+ (* -1 (/ z y)) (* -1 (/ (* z (- (* -1 x) (* -1 z))) (pow y 2))))) |
1 |
(+ 1 (* -1 (/ (- x z) y))) |
(+ 1 (* -1 (/ (- (+ x (/ (* z (- x z)) y)) z) y))) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow z 2) (- x z)) y)) (* z (- x z))) y))) z) y))) |
(* -1 (/ (- x y) y)) |
(+ (* -1 (/ (- x y) y)) (* z (- (/ 1 y) (/ x (pow y 2))))) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2))))) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2))))) |
(/ (- x y) z) |
(/ (- (+ x (/ (* y (- x y)) z)) y) z) |
(/ (- (+ x (/ (* (pow y 2) (- x y)) (pow z 2))) (+ y (* -1 (/ (* y (- x y)) z)))) z) |
(/ (- (+ x (/ (* (pow y 3) (- x y)) (pow z 3))) (+ y (+ (* -1 (/ (* y (- x y)) z)) (* -1 (/ (* (pow y 2) (- x y)) (pow z 2)))))) z) |
(/ (- x y) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (* y (- x y)) z))) z)) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* y (- x y)) (/ (* (pow y 2) (- x y)) z)) z))) z)) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- x y))) (* -1 (/ (* (pow y 3) (- x y)) z))) z)) (* y (- x y))) z))) z)) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
(/ y z) |
| Outputs |
|---|
(* -1 (/ y (- z y))) |
(/.f64 (neg.f64 y) (-.f64 z y)) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (-.f64 z y)) (/.f64 x (-.f64 z y))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (-.f64 z y)) (/.f64 x (-.f64 z y))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (-.f64 z y)) (/.f64 x (-.f64 z y))) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (-.f64 z y)) (/.f64 x (-.f64 z y))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (-.f64 z y)) (/.f64 x (-.f64 z y))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (-.f64 z y)) (/.f64 x (-.f64 z y))) |
(/ x z) |
(/.f64 x z) |
(+ (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(fma.f64 (/.f64 x (*.f64 z z)) y (/.f64 (-.f64 x y) z)) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(fma.f64 (*.f64 y y) (-.f64 (/.f64 x (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (fma.f64 (/.f64 x (*.f64 z z)) y (/.f64 (-.f64 x y) z))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3))))) (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(fma.f64 (*.f64 y y) (fma.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) y (+.f64 (/.f64 (neg.f64 y) (*.f64 (*.f64 z z) z)) (-.f64 (/.f64 x (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) (fma.f64 (/.f64 x (*.f64 z z)) y (/.f64 (-.f64 x y) z))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ z y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* z (- (* -1 x) (* -1 z))) (pow y 2)))) (* -1 (/ z y))) |
(fma.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 (-.f64 z x) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow z 2) (- (* -1 x) (* -1 z))) (pow y 3)))) (+ (* -1 (/ z y)) (* -1 (/ (* z (- (* -1 x) (* -1 z))) (pow y 2))))) |
(fma.f64 (/.f64 (-.f64 z x) (*.f64 (*.f64 y y) y)) (*.f64 z z) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 (-.f64 z x) y) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(+ 1 (* -1 (/ (- (+ x (/ (* z (- x z)) y)) z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x z) y) z (-.f64 x z)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow z 2) (- x z)) y)) (* z (- x z))) y))) z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x z) (+.f64 (/.f64 (*.f64 z z) y) z)) y) x) z) y)) |
(* -1 (/ (- x y) y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ (* -1 (/ (- x y) y)) (* z (- (/ 1 y) (/ x (pow y 2))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) z)) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 (*.f64 y y) y))) z (/.f64 x (*.f64 (neg.f64 y) y))) z)) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2))))) |
(fma.f64 (*.f64 z z) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 (*.f64 y y) y)))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) z))) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(/ (- (+ x (/ (* y (- x y)) z)) y) z) |
(/.f64 (-.f64 x (fma.f64 (-.f64 y x) (/.f64 y z) y)) z) |
(/ (- (+ x (/ (* (pow y 2) (- x y)) (pow z 2))) (+ y (* -1 (/ (* y (- x y)) z)))) z) |
(/.f64 (fma.f64 (/.f64 (-.f64 x y) z) (+.f64 (/.f64 (*.f64 y y) z) y) (-.f64 x y)) z) |
(/ (- (+ x (/ (* (pow y 3) (- x y)) (pow z 3))) (+ y (+ (* -1 (/ (* y (- x y)) z)) (* -1 (/ (* (pow y 2) (- x y)) (pow z 2)))))) z) |
(/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 z z) z)) (*.f64 y y)) y (fma.f64 (/.f64 (-.f64 x y) z) (+.f64 (/.f64 (*.f64 y y) z) y) (-.f64 x y))) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (* y (- x y)) z))) z)) |
(/.f64 (-.f64 x (fma.f64 (-.f64 y x) (/.f64 y z) y)) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* y (- x y)) (/ (* (pow y 2) (- x y)) z)) z))) z)) |
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 (/.f64 (*.f64 y y) z) y)) z) (-.f64 y x)) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- x y))) (* -1 (/ (* (pow y 3) (- x y)) z))) z)) (* y (- x y))) z))) z)) |
(/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (-.f64 x y) y (/.f64 (*.f64 y (*.f64 (-.f64 x y) (+.f64 (/.f64 (*.f64 y y) z) y))) z)) z) x) y) z) |
(+ 1 (/ z y)) |
(+.f64 (/.f64 z y) #s(literal 1 binary64)) |
(+ 1 (+ (* -1 (/ x y)) (/ z y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(+ 1 (+ (* -1 (/ x y)) (/ z y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(+ 1 (+ (* -1 (/ x y)) (/ z y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* x (- (+ (/ 1 x) (/ z (* x y))) (/ 1 y))) |
(fma.f64 (-.f64 (/.f64 z (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (/ z (* x y))) (/ 1 y))) |
(fma.f64 (-.f64 (/.f64 z (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) |
(* x (- (+ (/ 1 x) (/ z (* x y))) (/ 1 y))) |
(fma.f64 (-.f64 (/.f64 z (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) |
(* -1 (/ x y)) |
(/.f64 (neg.f64 x) y) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ z y))) x)) (/ 1 y)))) |
(fma.f64 (-.f64 (/.f64 z (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ z y))) x)) (/ 1 y)))) |
(fma.f64 (-.f64 (/.f64 z (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) |
(* -1 (* x (+ (* -1 (/ (- 1 (* -1 (/ z y))) x)) (/ 1 y)))) |
(fma.f64 (-.f64 (/.f64 z (*.f64 x y)) (/.f64 #s(literal 1 binary64) y)) x #s(literal 1 binary64)) |
(- 1 (/ x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(- (+ 1 (/ z y)) (/ x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(- (+ 1 (/ z y)) (/ x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(- (+ 1 (/ z y)) (/ x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(/ z y) |
(/.f64 z y) |
(* z (- (+ (/ 1 y) (/ 1 z)) (/ x (* y z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z) z (/.f64 z y)) |
(* z (- (+ (/ 1 y) (/ 1 z)) (/ x (* y z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z) z (/.f64 z y)) |
(* z (- (+ (/ 1 y) (/ 1 z)) (/ x (* y z)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z) z (/.f64 z y)) |
(/ z y) |
(/.f64 z y) |
(* -1 (* z (- (* -1 (/ (- 1 (/ x y)) z)) (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z) z (/.f64 z y)) |
(* -1 (* z (- (* -1 (/ (- 1 (/ x y)) z)) (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z) z (/.f64 z y)) |
(* -1 (* z (- (* -1 (/ (- 1 (/ x y)) z)) (/ 1 y)))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) z) z (/.f64 z y)) |
(/ (- z x) y) |
(/.f64 (-.f64 z x) y) |
(/ (- (+ y z) x) y) |
(/.f64 (-.f64 (+.f64 z y) x) y) |
(/ (- (+ y z) x) y) |
(/.f64 (-.f64 (+.f64 z y) x) y) |
(/ (- (+ y z) x) y) |
(/.f64 (-.f64 (+.f64 z y) x) y) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (/ z y)) (/ x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(- (+ 1 (/ z y)) (/ x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(- (+ 1 (/ z y)) (/ x y)) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(+ 1 (* -1 (/ (- x z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(+ 1 (* -1 (/ (- x z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(/ x y) |
(/.f64 x y) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(/.f64 (-.f64 x z) y) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(/.f64 (-.f64 x z) y) |
(* x (+ (* -1 (/ z (* x y))) (/ 1 y))) |
(/.f64 (-.f64 x z) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(/.f64 (-.f64 x z) y) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(/.f64 (-.f64 x z) y) |
(* -1 (* x (- (/ z (* x y)) (/ 1 y)))) |
(/.f64 (-.f64 x z) y) |
(/ x y) |
(/.f64 x y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(+ (* -1 (/ z y)) (/ x y)) |
(/.f64 (-.f64 x z) y) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) y)) z) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) y)) z) |
(* z (- (/ x (* y z)) (/ 1 y))) |
(*.f64 (-.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) y)) z) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) y)) z) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) y)) z) |
(* -1 (* z (+ (* -1 (/ x (* y z))) (/ 1 y)))) |
(*.f64 (-.f64 (/.f64 x (*.f64 z y)) (/.f64 #s(literal 1 binary64) y)) z) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ (- x z) y) |
(/.f64 (-.f64 x z) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ y z)) |
(/.f64 y (neg.f64 z)) |
(- (/ x z) (/ y z)) |
(/.f64 (-.f64 x y) z) |
(- (/ x z) (/ y z)) |
(/.f64 (-.f64 x y) z) |
(- (/ x z) (/ y z)) |
(/.f64 (-.f64 x y) z) |
(/ x z) |
(/.f64 x z) |
(* x (+ (* -1 (/ y (* x z))) (/ 1 z))) |
(/.f64 (-.f64 x y) z) |
(* x (+ (* -1 (/ y (* x z))) (/ 1 z))) |
(/.f64 (-.f64 x y) z) |
(* x (+ (* -1 (/ y (* x z))) (/ 1 z))) |
(/.f64 (-.f64 x y) z) |
(/ x z) |
(/.f64 x z) |
(* -1 (* x (- (/ y (* x z)) (/ 1 z)))) |
(/.f64 (-.f64 x y) z) |
(* -1 (* x (- (/ y (* x z)) (/ 1 z)))) |
(/.f64 (-.f64 x y) z) |
(* -1 (* x (- (/ y (* x z)) (/ 1 z)))) |
(/.f64 (-.f64 x y) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(* -1 (/ (- (* -1 x) (* -1 y)) z)) |
(/.f64 (-.f64 x y) z) |
(* -1 (/ (- (* -1 x) (* -1 y)) z)) |
(/.f64 (-.f64 x y) z) |
(* -1 (/ (- (* -1 x) (* -1 y)) z)) |
(/.f64 (-.f64 x y) z) |
(* -1 (/ (- (* -1 x) (* -1 y)) z)) |
(/.f64 (-.f64 x y) z) |
(/ x z) |
(/.f64 x z) |
(+ (* -1 (/ y z)) (/ x z)) |
(/.f64 (-.f64 x y) z) |
(+ (* -1 (/ y z)) (/ x z)) |
(/.f64 (-.f64 x y) z) |
(+ (* -1 (/ y z)) (/ x z)) |
(/.f64 (-.f64 x y) z) |
(* -1 (/ y z)) |
(/.f64 y (neg.f64 z)) |
(* y (- (/ x (* y z)) (/ 1 z))) |
(/.f64 (-.f64 x y) z) |
(* y (- (/ x (* y z)) (/ 1 z))) |
(/.f64 (-.f64 x y) z) |
(* y (- (/ x (* y z)) (/ 1 z))) |
(/.f64 (-.f64 x y) z) |
(* -1 (/ y z)) |
(/.f64 y (neg.f64 z)) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))) |
(/.f64 (-.f64 x y) z) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))) |
(/.f64 (-.f64 x y) z) |
(* -1 (* y (+ (* -1 (/ x (* y z))) (/ 1 z)))) |
(/.f64 (-.f64 x y) z) |
(* -1 (/ y (- z y))) |
(/.f64 (neg.f64 y) (-.f64 z y)) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
(+ (* -1 (/ y (- z y))) (/ x (- z y))) |
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (-.f64 z y)) (/.f64 x (-.f64 z y))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (-.f64 z y)) (/.f64 x (-.f64 z y))) |
(* x (+ (* -1 (/ y (* x (- z y)))) (/ 1 (- z y)))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (-.f64 z y)) (/.f64 x (-.f64 z y))) |
(/ x (- z y)) |
(/.f64 x (-.f64 z y)) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (-.f64 z y)) (/.f64 x (-.f64 z y))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (-.f64 z y)) (/.f64 x (-.f64 z y))) |
(* -1 (* x (- (/ y (* x (- z y))) (/ 1 (- z y))))) |
(fma.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (-.f64 z y)) (/.f64 x (-.f64 z y))) |
(/ x z) |
(/.f64 x z) |
(+ (* -1 (* y (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(fma.f64 (/.f64 x (*.f64 z z)) y (/.f64 (-.f64 x y) z)) |
(+ (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(fma.f64 (*.f64 y y) (-.f64 (/.f64 x (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))) (fma.f64 (/.f64 x (*.f64 z z)) y (/.f64 (-.f64 x y) z))) |
(+ (* y (- (* y (- (* -1 (* y (+ (* -1 (/ x (pow z 4))) (/ 1 (pow z 3))))) (+ (* -1 (/ x (pow z 3))) (/ 1 (pow z 2))))) (+ (* -1 (/ x (pow z 2))) (/ 1 z)))) (/ x z)) |
(fma.f64 (*.f64 y y) (fma.f64 (/.f64 x (pow.f64 z #s(literal 4 binary64))) y (+.f64 (/.f64 (neg.f64 y) (*.f64 (*.f64 z z) z)) (-.f64 (/.f64 x (*.f64 (*.f64 z z) z)) (/.f64 #s(literal 1 binary64) (*.f64 z z))))) (fma.f64 (/.f64 x (*.f64 z z)) y (/.f64 (-.f64 x y) z))) |
1 |
#s(literal 1 binary64) |
(- (+ 1 (* -1 (/ x y))) (* -1 (/ z y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* z (- (* -1 x) (* -1 z))) (pow y 2)))) (* -1 (/ z y))) |
(fma.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 (-.f64 z x) y) #s(literal 1 binary64)) |
(- (+ 1 (+ (* -1 (/ x y)) (/ (* (pow z 2) (- (* -1 x) (* -1 z))) (pow y 3)))) (+ (* -1 (/ z y)) (* -1 (/ (* z (- (* -1 x) (* -1 z))) (pow y 2))))) |
(fma.f64 (/.f64 (-.f64 z x) (*.f64 (*.f64 y y) y)) (*.f64 z z) (fma.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (/.f64 (-.f64 z x) y) #s(literal 1 binary64))) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (- x z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) |
(+ 1 (* -1 (/ (- (+ x (/ (* z (- x z)) y)) z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (/.f64 (-.f64 x z) y) z (-.f64 x z)) y)) |
(+ 1 (* -1 (/ (- (+ x (* -1 (/ (- (* -1 (/ (* (pow z 2) (- x z)) y)) (* z (- x z))) y))) z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (-.f64 (+.f64 (/.f64 (*.f64 (-.f64 x z) (+.f64 (/.f64 (*.f64 z z) y) z)) y) x) z) y)) |
(* -1 (/ (- x y) y)) |
(-.f64 #s(literal 1 binary64) (/.f64 x y)) |
(+ (* -1 (/ (- x y) y)) (* z (- (/ 1 y) (/ x (pow y 2))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) z)) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (/ 1 y) (/ (* z (- (/ 1 y) (/ x (pow y 2)))) y)) (/ x (pow y 2))))) |
(+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) (*.f64 (fma.f64 (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 (*.f64 y y) y))) z (/.f64 x (*.f64 (neg.f64 y) y))) z)) |
(+ (* -1 (/ (- x y) y)) (* z (- (+ (* z (- (/ (* z (- (/ 1 y) (/ x (pow y 2)))) (pow y 2)) (* -1 (/ (- (/ 1 y) (/ x (pow y 2))) y)))) (/ 1 y)) (/ x (pow y 2))))) |
(fma.f64 (*.f64 z z) (*.f64 (+.f64 (/.f64 z y) #s(literal 1 binary64)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y y)) (/.f64 x (*.f64 (*.f64 y y) y)))) (+.f64 (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y)) (*.f64 (/.f64 x (*.f64 (neg.f64 y) y)) z))) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(/ (- (+ x (/ (* y (- x y)) z)) y) z) |
(/.f64 (-.f64 x (fma.f64 (-.f64 y x) (/.f64 y z) y)) z) |
(/ (- (+ x (/ (* (pow y 2) (- x y)) (pow z 2))) (+ y (* -1 (/ (* y (- x y)) z)))) z) |
(/.f64 (fma.f64 (/.f64 (-.f64 x y) z) (+.f64 (/.f64 (*.f64 y y) z) y) (-.f64 x y)) z) |
(/ (- (+ x (/ (* (pow y 3) (- x y)) (pow z 3))) (+ y (+ (* -1 (/ (* y (- x y)) z)) (* -1 (/ (* (pow y 2) (- x y)) (pow z 2)))))) z) |
(/.f64 (fma.f64 (*.f64 (/.f64 (-.f64 x y) (*.f64 (*.f64 z z) z)) (*.f64 y y)) y (fma.f64 (/.f64 (-.f64 x y) z) (+.f64 (/.f64 (*.f64 y y) z) y) (-.f64 x y))) z) |
(/ (- x y) z) |
(/.f64 (-.f64 x y) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (* y (- x y)) z))) z)) |
(/.f64 (-.f64 x (fma.f64 (-.f64 y x) (/.f64 y z) y)) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* y (- x y)) (/ (* (pow y 2) (- x y)) z)) z))) z)) |
(/.f64 (-.f64 (/.f64 (*.f64 (-.f64 x y) (+.f64 (/.f64 (*.f64 y y) z) y)) z) (-.f64 y x)) z) |
(* -1 (/ (+ (* -1 (- x y)) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow y 2) (- x y))) (* -1 (/ (* (pow y 3) (- x y)) z))) z)) (* y (- x y))) z))) z)) |
(/.f64 (-.f64 (+.f64 (/.f64 (fma.f64 (-.f64 x y) y (/.f64 (*.f64 y (*.f64 (-.f64 x y) (+.f64 (/.f64 (*.f64 y y) z) y))) z)) z) x) y) z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
(/ y z) |
(/.f64 y z) |
| 2 763× | lower-/.f32 |
| 2 760× | lower-/.f64 |
| 2 168× | lower-*.f64 |
| 2 168× | lower-*.f32 |
| 1 736× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 17 | 70 |
| 0 | 22 | 66 |
| 1 | 122 | 66 |
| 2 | 1072 | 66 |
| 0 | 8372 | 66 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y))) |
#s(approx (/ (- x z) y) (/.f64 x y)) |
(/.f64 x y) |
(-.f64 (/.f64 x z) (/.f64 y z)) |
#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z))) |
(/.f64 x z) |
(/.f64 y z) |
| Outputs |
|---|
#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y))) #s(approx (/ (- x z) y) (/.f64 x y)))) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(pow.f64 (/.f64 (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y))) #s(approx (/ (- x z) y) (/.f64 x y))))) #s(literal -1 binary64)) |
(/.f64 (fma.f64 (neg.f64 #s(approx (/ (- x z) y) (/.f64 x y))) (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y))) #s(literal 1 binary64)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y)) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 #s(approx (/ (- x z) y) (/.f64 x y))) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y)))))) (neg.f64 (neg.f64 (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y))) #s(approx (/ (- x z) y) (/.f64 x y)))))) (neg.f64 (neg.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64))) (*.f64 (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64)) (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y))))) (*.f64 (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64)) (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (*.f64 (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y))) #s(approx (/ (- x z) y) (/.f64 x y))))) (*.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y))))) (neg.f64 (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (- x z) y) (/.f64 x y)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y))))) (neg.f64 (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64)))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y))) #s(approx (/ (- x z) y) (/.f64 x y))))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y))) (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (- x z) y) (/.f64 x y)))))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y))) #s(approx (/ (- x z) y) (/.f64 x y))))) (neg.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y))) #s(approx (/ (- x z) y) (/.f64 x y))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y)))) (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (- x z) y) (/.f64 x y))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y)))) (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y))) #s(approx (/ (- x z) y) (/.f64 x y)))) (+.f64 #s(literal 1 binary64) (-.f64 (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y))) (*.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (- x z) y) (/.f64 x y))))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y))) #s(approx (/ (- x z) y) (/.f64 x y)))) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y))) #s(approx (/ (- x z) y) (/.f64 x y)))))) |
(fma.f64 #s(literal -1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (- x z) y) (/.f64 x y))))) (/.f64 (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y))) (-.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (- x z) y) (/.f64 x y)))))) |
(-.f64 (/.f64 #s(literal 1 binary64) (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64))) (/.f64 (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y))) (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64)))) |
(-.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64))) (/.f64 (*.f64 (*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(approx (/ (- x z) y) (/.f64 x y))) #s(approx (/ (- x z) y) (/.f64 x y))) (fma.f64 #s(approx (/ (- x z) y) (/.f64 x y)) (+.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64)) #s(literal 1 binary64)))) |
(-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y))) |
(+.f64 (neg.f64 #s(approx (/ (- x z) y) (/.f64 x y))) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 #s(approx (/ (- x z) y) (/.f64 x y)))) |
(*.f64 #s(approx (/ (- x z) y) (/.f64 x y)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y))) |
#s(approx (/ (- x z) y) (/.f64 x y)) |
(*.f64 (/.f64 #s(literal 1 binary64) y) (pow.f64 (/.f64 #s(literal 1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) y) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal 1 binary64) (neg.f64 y))) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 x (/.f64 #s(literal 1 binary64) y)) |
(pow.f64 (/.f64 (/.f64 y x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 y))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) y) |
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(neg.f64 (/.f64 (neg.f64 x) z)) |
(neg.f64 (/.f64 x (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 x (neg.f64 z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 z x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) (pow.f64 (/.f64 #s(literal 1 binary64) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) z) y) |
(*.f64 (neg.f64 y) (/.f64 #s(literal 1 binary64) (neg.f64 z))) |
(*.f64 #s(literal 1 binary64) (/.f64 y z)) |
(*.f64 y (/.f64 #s(literal 1 binary64) z)) |
(pow.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 z y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 y #s(literal 1 binary64)) z) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 z y) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z y))) |
(/.f64 (neg.f64 y) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 z y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 z y)) |
(/.f64 y z) |
(neg.f64 (/.f64 (neg.f64 y) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 z)) (/.f64 (neg.f64 y) z)) |
(exp.f64 (*.f64 (log.f64 (/.f64 z y)) #s(literal -1 binary64))) |
Compiled 8 643 to 987 computations (88.6% saved)
11 alts after pruning (0 fresh and 11 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 571 | 0 | 571 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 2 | 2 |
| Done | 0 | 9 | 9 |
| Total | 571 | 11 | 582 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 100.0% | (/.f64 (-.f64 x y) (-.f64 z y)) |
| ✓ | 51.5% | #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) |
| ✓ | 19.9% | #s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) |
| ✓ | 54.5% | #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) |
| ✓ | 51.2% | #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) |
| ✓ | 18.1% | #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) |
| ✓ | 38.5% | #s(approx (/ (- x y) (- z y)) (/.f64 x z)) |
| ✓ | 51.4% | #s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z))) |
| ✓ | 52.3% | #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) |
| ✓ | 2.9% | #s(approx (/ (- x y) (- z y)) #s(approx (- 1 (/ (- x z) y)) (/.f64 z y))) |
| ✓ | 36.9% | #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) |
Compiled 187 to 82 computations (56.1% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- z y)) #s(approx (- 1 (/ (- x z) y)) (/.f64 z y))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x z)) |
#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) |
#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) |
#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) |
#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) |
#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y)) |
#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))) |
(/.f64 (-.f64 x y) (-.f64 z y)) |
#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z))) |
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
| Outputs |
|---|
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
4 calls:
| 8.0ms | x |
| 7.0ms | (/.f64 (-.f64 x y) (-.f64 z y)) |
| 5.0ms | z |
| 5.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (/.f64 (-.f64 x y) (-.f64 z y)) |
Compiled 22 to 15 computations (31.8% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- z y)) #s(approx (- 1 (/ (- x z) y)) (/.f64 z y))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x z)) |
#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) |
#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) |
#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) |
#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) |
#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y)) |
#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))) |
(/.f64 (-.f64 x y) (-.f64 z y)) |
#s(approx (/ (- x y) (- z y)) (-.f64 (/.f64 x z) (/.f64 y z))) |
| Outputs |
|---|
(/.f64 (-.f64 x y) (-.f64 z y)) |
4 calls:
| 7.0ms | x |
| 5.0ms | y |
| 5.0ms | z |
| 4.0ms | (/.f64 (-.f64 x y) (-.f64 z y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (/.f64 (-.f64 x y) (-.f64 z y)) |
Compiled 22 to 15 computations (31.8% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- z y)) #s(approx (- 1 (/ (- x z) y)) (/.f64 z y))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x z)) |
#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) |
#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) |
#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) |
#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) |
#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y)) |
#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) |
#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) |
#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) |
4 calls:
| 4.0ms | y |
| 4.0ms | x |
| 4.0ms | z |
| 4.0ms | (/.f64 (-.f64 x y) (-.f64 z y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.4% | 3 | x |
| 81.3% | 4 | y |
| 78.3% | 3 | z |
| 98.6% | 4 | (/.f64 (-.f64 x y) (-.f64 z y)) |
Compiled 22 to 15 computations (31.8% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- z y)) #s(approx (- 1 (/ (- x z) y)) (/.f64 z y))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x z)) |
#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) |
#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) |
#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) |
#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) |
#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 y x) y)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) |
#s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) |
#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) |
1 calls:
| 4.0ms | (/.f64 (-.f64 x y) (-.f64 z y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.5% | 4 | (/.f64 (-.f64 x y) (-.f64 z y)) |
Compiled 10 to 6 computations (40% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- z y)) #s(approx (- 1 (/ (- x z) y)) (/.f64 z y))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x z)) |
#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) |
#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) |
#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) |
#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x z)) |
#s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) |
1 calls:
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 z y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 5 | (/.f64 (-.f64 x y) (-.f64 z y)) |
Compiled 10 to 6 computations (40% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- z y)) #s(approx (- 1 (/ (- x z) y)) (/.f64 z y))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x z)) |
#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) |
#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) |
#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) |
1 calls:
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 z y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.2% | 3 | (/.f64 (-.f64 x y) (-.f64 z y)) |
Compiled 10 to 6 computations (40% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- z y)) #s(approx (- 1 (/ (- x z) y)) (/.f64 z y))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x z)) |
#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) |
#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x z)) |
#s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x z)) |
4 calls:
| 19.0ms | y |
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | (/.f64 (-.f64 x y) (-.f64 z y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.3% | 2 | x |
| 67.3% | 3 | z |
| 72.3% | 3 | y |
| 75.7% | 4 | (/.f64 (-.f64 x y) (-.f64 z y)) |
Compiled 22 to 15 computations (31.8% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- z y)) #s(approx (- 1 (/ (- x z) y)) (/.f64 z y))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x z)) |
#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- z y)) (/.f64 #s(approx (- x y) (neg.f64 y)) z)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x z)) |
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- z y)) (/.f64 x z)) |
1 calls:
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 z y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.0% | 4 | (/.f64 (-.f64 x y) (-.f64 z y)) |
Compiled 10 to 6 computations (40% saved)
| Inputs |
|---|
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- z y)) #s(approx (- 1 (/ (- x z) y)) (/.f64 z y))) |
#s(approx (/ (- x y) (- z y)) (/.f64 x z)) |
| Outputs |
|---|
#s(approx (/ (- x y) (- z y)) (/.f64 x z)) |
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- z y)) (/.f64 x z)) |
2 calls:
| 2.0ms | y |
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 z y)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.1% | 3 | y |
| 71.7% | 3 | (/.f64 (-.f64 x y) (-.f64 z y)) |
Compiled 14 to 9 computations (35.7% saved)
Total -22.0b remaining (-54.5%)
Threshold costs -22b (-54.5%)
| Inputs |
|---|
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) |
#s(approx (/ (- x y) (- z y)) #s(approx (- 1 (/ (- x z) y)) (/.f64 z y))) |
| Outputs |
|---|
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) |
4 calls:
| 2.0ms | (/.f64 (-.f64 x y) (-.f64 z y)) |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 36.9% | 1 | x |
| 36.9% | 1 | y |
| 36.9% | 1 | z |
| 36.9% | 1 | (/.f64 (-.f64 x y) (-.f64 z y)) |
Compiled 22 to 15 computations (31.8% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2407721.302484377 | 1879251251.5728745 |
| 0.0ms | 0.04953020869837429 | 0.777217487423628 |
| 0.0ms | -997.2069474796639 | -0.06349460060843809 |
Compiled 13 to 12 computations (7.7% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2407721.302484377 | 1879251251.5728745 |
| 0.0ms | 0.04953020869837429 | 0.777217487423628 |
| 0.0ms | -997.2069474796639 | -0.06349460060843809 |
Compiled 13 to 12 computations (7.7% saved)
| 4× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0078956361426572 | 4.2917418999851815 |
| 0.0ms | 6.192490489588651e-26 | 2.44845306328694e-25 |
| 0.0ms | -1.3326727216105873e-252 | -1.190176339646819e-268 |
| 0.0ms | -997.2069474796639 | -0.06349460060843809 |
Compiled 13 to 12 computations (7.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2407721.302484377 | 1879251251.5728745 |
| 0.0ms | 0.04953020869837429 | 0.777217487423628 |
Compiled 13 to 12 computations (7.7% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.3481396394626376e+114 | 1.934991066000228e+115 |
| 0.0ms | 0.04953020869837429 | 0.777217487423628 |
| 0.0ms | -1.4324718300448822e+149 | -9.140126700791674e+134 |
Compiled 13 to 12 computations (7.7% saved)
| 3× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2407721.302484377 | 1879251251.5728745 |
| 0.0ms | 0.04953020869837429 | 0.777217487423628 |
| 0.0ms | -1.4324718300448822e+149 | -9.140126700791674e+134 |
Compiled 13 to 12 computations (7.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2407721.302484377 | 1879251251.5728745 |
| 0.0ms | 0.04953020869837429 | 0.777217487423628 |
Compiled 13 to 12 computations (7.7% saved)
| 1× | egg-herbie |
| 83× | unsub-neg_binary64 |
| 73× | distribute-lft-neg-in_binary64 |
| 51× | cancel-sign-sub_binary64 |
| 50× | neg-mul-1_binary64 |
| 39× | neg-sub0_binary64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 69 | 582 |
| 1 | 86 | 582 |
| 2 | 109 | 582 |
| 3 | 129 | 582 |
| 4 | 162 | 582 |
| 5 | 221 | 582 |
| 6 | 287 | 582 |
| 7 | 386 | 582 |
| 8 | 486 | 582 |
| 9 | 549 | 582 |
| 10 | 577 | 582 |
| 11 | 595 | 582 |
| 12 | 608 | 582 |
| 13 | 619 | 582 |
| 14 | 624 | 582 |
| 15 | 625 | 582 |
| 1× | saturated |
| Inputs |
|---|
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
(/.f64 (-.f64 x y) (-.f64 z y)) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -500 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 4000000 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -500 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 4000000 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -500 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -8254602048994769/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 4000000 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -100000000000000004897672657515052057957222700353074388874504237459016826359338475616123152924727646379311306468151027676205343291866258521710227619840 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 4000000000000000062237664517867372097072805587684245733479082321723335124659022813059941559660189790704825123471360 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) #s(approx (/ (- x y) (- z y)) (/.f64 x z))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -100000000000000004897672657515052057957222700353074388874504237459016826359338475616123152924727646379311306468151027676205343291866258521710227619840 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 4000000 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 4000000 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)))) |
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) |
| Outputs |
|---|
(-.f64 (/.f64 x (-.f64 z y)) (/.f64 y (-.f64 z y))) |
(-.f64 (/.f64 y (-.f64 y z)) (/.f64 x (-.f64 y z))) |
(/.f64 (-.f64 x y) (-.f64 z y)) |
(/.f64 (-.f64 y x) (-.f64 y z)) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -500 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 4000000 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))))) |
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal -500 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 4000000 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) (/.f64 (-.f64 x z) y))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -500 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 4000000 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))))) |
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal -500 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 (-.f64 x y) z)) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 4000000 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y)))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -500 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -8254602048994769/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))))) |
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal -500 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal -8254602048994769/8254602048994769474255309139320571976856989469314398783249386078541779727448825929287769623244643560854287421769642635607536680617229461519539671538483430889193541937484454440136429963694163141453503639190799818814812942074243152169349951543234944945149040326527156224 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 8711228593176025/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 2 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 y (-.f64 y z))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 4000000 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))) |
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 4000000 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) #s(approx (/ (- x y) (- z y)) (/.f64 x (-.f64 z y))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -100000000000000004897672657515052057957222700353074388874504237459016826359338475616123152924727646379311306468151027676205343291866258521710227619840 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 4000000000000000062237664517867372097072805587684245733479082321723335124659022813059941559660189790704825123471360 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) #s(approx (/ (- x y) (- z y)) (/.f64 x z))))) |
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal -100000000000000004897672657515052057957222700353074388874504237459016826359338475616123152924727646379311306468151027676205343291866258521710227619840 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 4000000000000000062237664517867372097072805587684245733479082321723335124659022813059941559660189790704825123471360 binary64)) #s(approx (/ (- x y) (- z y)) (-.f64 #s(literal 1 binary64) #s(approx (/ (- x z) y) (/.f64 x y)))) #s(approx (/ (- x y) (- z y)) (/.f64 x z))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal -100000000000000004897672657515052057957222700353074388874504237459016826359338475616123152924727646379311306468151027676205343291866258521710227619840 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 4000000 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z))))) |
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal -100000000000000004897672657515052057957222700353074388874504237459016826359338475616123152924727646379311306468151027676205343291866258521710227619840 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x #s(approx (- z y) (neg.f64 y)))) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 4000000 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z))))) |
(if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 x y) (-.f64 z y)) #s(literal 4000000 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)))) |
(if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 3602879701896397/72057594037927936 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)) (if (<=.f64 (/.f64 (-.f64 y x) (-.f64 y z)) #s(literal 4000000 binary64)) #s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) #s(approx (/ (- x y) (- z y)) (/.f64 x z)))) |
#s(approx (/ (- x y) (- z y)) #s(literal 1 binary64)) |
| 9 144× | lower-fma.f64 |
| 9 144× | lower-fma.f32 |
| 4 943× | lower-fma.f64 |
| 4 943× | lower-fma.f32 |
| 2 653× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 833 |
| 1 | 575 | 775 |
| 2 | 1803 | 709 |
| 3 | 7837 | 707 |
| 0 | 8469 | 681 |
| 0 | 560 | 5351 |
| 1 | 1757 | 4921 |
| 2 | 5427 | 4738 |
| 0 | 8401 | 4569 |
| 0 | 6 | 13 |
| 0 | 9 | 13 |
| 1 | 46 | 13 |
| 2 | 368 | 13 |
| 3 | 5378 | 13 |
| 0 | 8274 | 13 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 552 to 180 computations (67.4% saved)
Compiled 784 to 136 computations (82.7% saved)
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