
Time bar (total: 5.7s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 100% | 99.9% | 0% | 0.1% | 0% | 0% | 0% | 1 |
Compiled 9 to 9 computations (0% saved)
| 494.0ms | 8 254× | 0 | valid |
| 0.0ms | 1× | 2 | valid |
| 0.0ms | 1× | 1 | valid |
ival-add: 75.0ms (41.1% of total)ival-mult: 51.0ms (27.9% of total)ival-sub: 43.0ms (23.6% of total)ival-true: 6.0ms (3.3% of total)exact: 5.0ms (2.7% of total)ival-assert: 3.0ms (1.6% of total)adjust: 0.0ms (0% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 0 | 0 | - | 0 | - | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 #s(literal 1 binary64) z) |
| 0 | 0 | - | 0 | - | #s(literal 1 binary64) |
| 0 | 0 | - | 0 | - | (+.f64 x y) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Predicted + | Predicted - | |
|---|---|---|
| + | 0 | 0 |
| - | 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 256 |
| number | freq |
|---|---|
| 0 | 256 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 0 | 0 | 0 |
| - | 0 | 0 | 1 |
| 25.0ms | 512× | 0 | valid |
Compiled 45 to 25 computations (44.4% saved)
ival-sub: 3.0ms (30.7% of total)ival-add: 3.0ms (30.7% of total)ival-mult: 3.0ms (30.7% of total)ival-true: 1.0ms (10.2% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 552× | lower-fma.f64 |
| 1 552× | lower-fma.f32 |
| 1 326× | unsub-neg |
| 912× | sub-neg |
| 664× | distribute-lft-out |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 26 | 68 |
| 1 | 69 | 64 |
| 2 | 233 | 63 |
| 3 | 844 | 63 |
| 4 | 2634 | 63 |
| 5 | 4455 | 63 |
| 6 | 5449 | 63 |
| 7 | 5703 | 63 |
| 8 | 5755 | 63 |
| 9 | 5778 | 63 |
| 10 | 5781 | 63 |
| 11 | 5844 | 63 |
| 12 | 5852 | 63 |
| 13 | 5852 | 63 |
| 14 | 5852 | 63 |
| 15 | 5890 | 63 |
| 16 | 5890 | 63 |
| 0 | 7 | 7 |
| 0 | 10 | 7 |
| 1 | 16 | 7 |
| 2 | 34 | 7 |
| 3 | 74 | 7 |
| 4 | 215 | 7 |
| 5 | 504 | 7 |
| 6 | 825 | 7 |
| 7 | 1314 | 7 |
| 8 | 1634 | 7 |
| 9 | 1690 | 7 |
| 10 | 1690 | 7 |
| 0 | 1690 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(sort x y)
Compiled 7 to 7 computations (0% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 100.0% | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
Compiled 7 to 7 computations (0% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| 1 552× | lower-fma.f64 |
| 1 552× | lower-fma.f32 |
| 368× | lower-*.f32 |
| 366× | lower-*.f64 |
| 344× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 17 |
| 0 | 10 | 17 |
| 1 | 16 | 17 |
| 2 | 34 | 17 |
| 3 | 74 | 17 |
| 4 | 215 | 17 |
| 5 | 504 | 17 |
| 6 | 825 | 17 |
| 7 | 1314 | 17 |
| 8 | 1634 | 17 |
| 9 | 1690 | 17 |
| 10 | 1690 | 17 |
| 0 | 1690 | 17 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
(+.f64 x y) |
x |
y |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
| Outputs |
|---|
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+.f64 x y) |
(+.f64 y x) |
x |
y |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0.01953125 | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| 14.0ms | 256× | 0 | valid |
Compiled 19 to 9 computations (52.6% saved)
ival-add: 2.0ms (35.3% of total)ival-mult: 2.0ms (35.3% of total)ival-sub: 1.0ms (17.7% 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 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x y) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x y))) (taylor inf z) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ 1 z) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ 1 z) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ 1 z) 1)) (taylor inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x y))) (taylor -inf z) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) (taylor -inf z) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) (taylor -inf z) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) (taylor -inf z) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- 1 (/ 1 z)))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- 1 (/ 1 z)))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- 1 (/ 1 z)))) (taylor -inf z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 y) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 z)) (taylor inf y) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) (taylor inf y) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) (taylor inf y) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) (taylor inf y) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (/ x y))) (taylor inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 z)) (taylor -inf y) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (* -1 (/ x y)) 1))) (taylor -inf y) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 z)) (taylor 0 x) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 x) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 x) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 x) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) (patch (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | z | @ | inf | ((* (+ x y) (- 1 z)) (+ x y) (- 1 z)) |
| 6.0ms | z | @ | -inf | ((* (+ x y) (- 1 z)) (+ x y) (- 1 z)) |
| 1.0ms | y | @ | inf | ((* (+ x y) (- 1 z)) (+ x y) (- 1 z)) |
| 0.0ms | x | @ | -inf | ((* (+ x y) (- 1 z)) (+ x y) (- 1 z)) |
| 0.0ms | y | @ | -inf | ((* (+ x y) (- 1 z)) (+ x y) (- 1 z)) |
| 1× | egg-herbie |
| 12 146× | lower-fma.f64 |
| 12 146× | lower-fma.f32 |
| 2 722× | lower-*.f64 |
| 2 722× | lower-*.f32 |
| 2 196× | lower--.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 65 | 407 |
| 1 | 213 | 326 |
| 2 | 683 | 326 |
| 3 | 2182 | 326 |
| 4 | 5119 | 326 |
| 5 | 7892 | 326 |
| 0 | 8645 | 326 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x y) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
1 |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(* -1 (* z (+ x y))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* -1 z) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* -1 (* z (+ x y))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* x (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(* y (- 1 z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (- 1 z)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* y (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(* x (- 1 z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (- 1 z)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
| Outputs |
|---|
(+ x y) |
(+.f64 y x) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (+ x y))) |
(*.f64 (neg.f64 z) (+.f64 y x)) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (+ x y))) |
(*.f64 (neg.f64 z) (+.f64 y x)) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
| 5 758× | lower-*.f32 |
| 5 756× | lower-*.f64 |
| 3 972× | lower-/.f64 |
| 3 972× | lower-/.f32 |
| 2 508× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 13 |
| 0 | 10 | 13 |
| 1 | 41 | 13 |
| 2 | 307 | 13 |
| 3 | 4032 | 13 |
| 0 | 9598 | 13 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
(+.f64 x y) |
(-.f64 #s(literal 1 binary64) z) |
| Outputs |
|---|
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (+.f64 y x)) (fma.f64 (neg.f64 z) z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) z)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64)))) (-.f64 #s(literal 1 binary64) (fma.f64 z z z))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)) (+.f64 (pow.f64 (fma.f64 z z z) #s(literal 3 binary64)) #s(literal 1 binary64))) (fma.f64 (fma.f64 z z z) (-.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 x y) (+.f64 y x))) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (+.f64 y x) (*.f64 x x))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 x y) (+.f64 y x))) (*.f64 (-.f64 x y) (+.f64 y x))) (+.f64 y x)) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 y x) y))) |
(*.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 (-.f64 y x) y) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 y x) y) (-.f64 (*.f64 (-.f64 y x) y) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (+.f64 y x)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 x y) (+.f64 y x))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (-.f64 x y) (+.f64 y x))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (*.f64 (-.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y)))) |
(*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (+.f64 y x))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y)))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (-.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))) |
(*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (+.f64 y x) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (*.f64 (-.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (+.f64 y x))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x)))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z))) |
(*.f64 (+.f64 y x) (-.f64 #s(literal 1 binary64) z)) |
(pow.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (+.f64 y x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 y x))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (-.f64 x y) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 x y) (+.f64 y x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)) (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (-.f64 x y) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (*.f64 (*.f64 (-.f64 x y) (+.f64 y x)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 x y)) (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (-.f64 x y) (+.f64 y x)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (fma.f64 (-.f64 y x) y (*.f64 x x))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (-.f64 y x)) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (*.f64 (+.f64 y x) (-.f64 y x)) (neg.f64 z)))) (*.f64 (fma.f64 y y (*.f64 x x)) (-.f64 y x))) |
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(/.f64 (-.f64 (*.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x)))) (*.f64 (fma.f64 y y (*.f64 x x)) (*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 z)))) (*.f64 (fma.f64 y y (*.f64 x x)) (neg.f64 (fma.f64 (-.f64 y x) y (*.f64 x x))))) |
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(/.f64 (-.f64 (*.f64 (+.f64 (pow.f64 (fma.f64 z z z) #s(literal 3 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (fma.f64 z z z) (-.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal 1 binary64))) (*.f64 z z))) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (fma.f64 z z z) (-.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) z))) |
(/.f64 (-.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (*.f64 z z))) (*.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) z))) |
(/.f64 (-.f64 (*.f64 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (*.f64 z z))) (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (-.f64 #s(literal 1 binary64) z))) |
(/.f64 (-.f64 (*.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) z)) (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 z z))) (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) z))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64)) (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 z z))) (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z))) |
(/.f64 (-.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)) (*.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)) (*.f64 z z))) (*.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)) (-.f64 #s(literal 1 binary64) z))) |
(/.f64 (-.f64 (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 z z))) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) z))) |
(/.f64 (-.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 z z))) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal -1 binary64) (*.f64 (neg.f64 z) z)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) |
(/.f64 (-.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) |
(/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (fma.f64 (neg.f64 z) z #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(/.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (fma.f64 z z #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 9 binary64))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 z #s(literal 3 binary64)))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (pow.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -2 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) #s(literal 2 binary64))) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))) |
(/.f64 (-.f64 (*.f64 z z) #s(literal 1 binary64)) (-.f64 (neg.f64 z) #s(literal 1 binary64))) |
(/.f64 (-.f64 (*.f64 z z) #s(literal 1 binary64)) (-.f64 z #s(literal 1 binary64))) |
(/.f64 (-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64)) (*.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -3 binary64)))) (+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -2 binary64)) (+.f64 (pow.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))) #s(literal 2 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))))) |
(/.f64 (-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -3 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) #s(literal 3 binary64))) (+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) #s(literal 2 binary64)) (*.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))))) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z))) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (neg.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z))) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) |
(/.f64 (-.f64 (*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal 2 binary64))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (fma.f64 z z #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 9 binary64))) (*.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 z #s(literal 3 binary64))))) |
(/.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) |
(/.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(neg.f64 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64))) |
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (*.f64 z z))) #s(literal -1 binary64)) (pow.f64 (fma.f64 #s(literal -1 binary64) z #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))) |
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (neg.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))) |
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))) |
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (fma.f64 (neg.f64 z) z #s(literal 1 binary64))) #s(literal -1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))) |
(fma.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 4 binary64)))) (fma.f64 z z #s(literal 1 binary64)) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))) |
(fma.f64 (/.f64 (-.f64 #s(literal 1 binary64) z) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (+.f64 (fma.f64 z z (pow.f64 z #s(literal 4 binary64))) #s(literal 1 binary64)) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64)))) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))) |
(fma.f64 (/.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 9 binary64)))) (+.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 6 binary64))) (pow.f64 z #s(literal 3 binary64))) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (fma.f64 z z z)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z z z) #s(literal 2 binary64))) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) (fma.f64 z z z)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 z z z) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (fma.f64 z z z) (-.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (+.f64 (pow.f64 (fma.f64 z z z) #s(literal 3 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) (fma.f64 (fma.f64 z z z) (-.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal 1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))) |
(fma.f64 (pow.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (-.f64 #s(literal 1 binary64) z) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))) |
(fma.f64 #s(literal -1 binary64) z #s(literal 1 binary64)) |
(fma.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) #s(literal 1 binary64) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))) |
(fma.f64 (-.f64 #s(literal 1 binary64) z) (pow.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))) |
(fma.f64 (neg.f64 z) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))) |
(fma.f64 z #s(literal -1 binary64) #s(literal 1 binary64)) |
(fma.f64 z #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))) |
(fma.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 z) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) z #s(literal 1 binary64)) |
(-.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z)))) |
(-.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)))) |
(-.f64 #s(literal 0 binary64) (-.f64 z #s(literal 1 binary64))) |
(-.f64 #s(literal 1 binary64) (neg.f64 z)) |
(-.f64 #s(literal 1 binary64) z) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) (neg.f64 (*.f64 z (/.f64 z (-.f64 #s(literal 1 binary64) z))))) |
(+.f64 (pow.f64 (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (-.f64 #s(literal 1 binary64) z) z #s(literal 1 binary64))))) |
(+.f64 (neg.f64 z) #s(literal 1 binary64)) |
(+.f64 z #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 z))) |
(+.f64 #s(literal 1 binary64) (neg.f64 z)) |
(+.f64 #s(literal 1 binary64) z) |
Compiled 31 898 to 2 749 computations (91.4% saved)
7 alts after pruning (6 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 895 | 6 | 901 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 895 | 7 | 902 |
| Status | Accuracy | Program |
|---|---|---|
| 99.2% | (fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) | |
| ▶ | 100.0% | (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) |
| ✓ | 100.0% | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| ▶ | 50.8% | (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) |
| ▶ | 50.3% | #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) |
| ▶ | 49.0% | #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
| ▶ | 54.8% | #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
Compiled 91 to 85 computations (6.6% saved)
| 1× | egg-herbie |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- 1 z) (neg.f64 z)) | |
| cost-diff | 0 | (+.f64 x y) | |
| cost-diff | 0 | (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) z) y) | |
| cost-diff | 0 | #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) | |
| cost-diff | 0 | (-.f64 #s(literal 1 binary64) z) | |
| cost-diff | 0 | (*.f64 (-.f64 #s(literal 1 binary64) z) x) | |
| cost-diff | 0 | #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 0 | #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (+.f64 y x) | |
| cost-diff | 192 | (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) |
| 1 728× | lower-fma.f32 |
| 1 726× | lower-fma.f64 |
| 480× | lower-*.f32 |
| 474× | lower-*.f64 |
| 384× | lower-+.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 105 |
| 0 | 28 | 105 |
| 1 | 47 | 103 |
| 2 | 99 | 103 |
| 3 | 235 | 103 |
| 4 | 492 | 103 |
| 5 | 775 | 103 |
| 6 | 1358 | 103 |
| 7 | 1585 | 103 |
| 8 | 1708 | 103 |
| 9 | 1785 | 103 |
| 10 | 1794 | 103 |
| 11 | 1796 | 103 |
| 12 | 1799 | 103 |
| 13 | 1801 | 103 |
| 0 | 1801 | 103 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
(neg.f64 z) |
z |
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) |
(+.f64 y x) |
y |
x |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
x |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) |
(+.f64 x y) |
x |
y |
#s(approx (- 1 z) (neg.f64 z)) |
(neg.f64 z) |
z |
| Outputs |
|---|
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
(neg.f64 z) |
z |
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) |
#s(approx (* (+ x y) (- 1 z)) (+.f64 x y)) |
(+.f64 y x) |
(+.f64 x y) |
y |
x |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
x |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(-.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
y |
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) |
(*.f64 #s(approx (- 1 z) (neg.f64 z)) (+.f64 x y)) |
(+.f64 x y) |
x |
y |
#s(approx (- 1 z) (neg.f64 z)) |
(neg.f64 z) |
z |
Found 15 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (+.f64 x y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.01953125 | (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) | |
| accuracy | 31.54940231926371 | #s(approx (- 1 z) (neg.f64 z)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.00390625 | (*.f64 (-.f64 #s(literal 1 binary64) z) y) | |
| accuracy | 32.65732574540364 | #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) | |
| accuracy | 0 | (-.f64 #s(literal 1 binary64) z) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 #s(literal 1 binary64) z) x) | |
| accuracy | 28.911890238587997 | #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 31.784655478776266 | #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) | |
| accuracy | 0 | (+.f64 y x) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.01171875 | (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) |
| 27.0ms | 256× | 0 | valid |
Compiled 86 to 15 computations (82.6% saved)
ival-mult: 7.0ms (51.2% of total)ival-add: 4.0ms (29.3% of total)ival-sub: 1.0ms (7.3% of total)ival-neg: 1.0ms (7.3% 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 (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ()) |
#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x y) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt (-.f64 #s(literal 1 binary64) z) (patch (-.f64 #s(literal 1 binary64) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* y z))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* y z))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* y z))) (taylor 0 z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) y) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x y))) (taylor inf z) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x y))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x y))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor inf z) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ()) |
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#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 z))) (taylor inf x) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))) (taylor inf x) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))) (taylor inf x) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))) (taylor inf x) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (/ y x))) (taylor inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- z 1))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1))) (taylor -inf x) (#s(alt (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) (patch (fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 y x) (patch (+.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (patch #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 (-.f64 #s(literal 1 binary64) z) x) (patch (*.f64 (-.f64 #s(literal 1 binary64) z) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) (patch (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y x)) 1))) (taylor -inf x) (#s(alt (+.f64 x y) (patch (+.f64 x y) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | ((+ (* (+ y x) (neg z)) (+ y x)) (+ y x) (neg z) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z)) |
| 3.0ms | x | @ | 0 | ((+ (* (+ y x) (neg z)) (+ y x)) (+ y x) (neg z) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z)) |
| 1.0ms | z | @ | inf | ((+ (* (+ y x) (neg z)) (+ y x)) (+ y x) (neg z) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z)) |
| 1.0ms | z | @ | -inf | ((+ (* (+ y x) (neg z)) (+ y x)) (+ y x) (neg z) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z)) |
| 1.0ms | y | @ | inf | ((+ (* (+ y x) (neg z)) (+ y x)) (+ y x) (neg z) (* (+ x y) (- 1 z)) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (+ x y) (- 1 z)) |
| 1× | egg-herbie |
| 13 482× | lower-fma.f64 |
| 13 482× | lower-fma.f32 |
| 2 378× | lower-*.f64 |
| 2 378× | lower-*.f32 |
| 2 166× | lower--.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 120 | 2083 |
| 1 | 408 | 1606 |
| 2 | 1146 | 1606 |
| 3 | 3602 | 1606 |
| 4 | 6933 | 1606 |
| 0 | 8114 | 1606 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x y) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(+ x y) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x y) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
x |
(+ x (* -1 (* x z))) |
(+ x (* -1 (* x z))) |
(+ x (* -1 (* x z))) |
1 |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(+ x y) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
y |
(+ y (* -1 (* y z))) |
(+ y (* -1 (* y z))) |
(+ y (* -1 (* y z))) |
(+ x y) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
1 |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(* -1 (* z (+ x y))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (+ x y))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* -1 (* z (+ x y))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ x z))) |
(* z (+ (* -1 x) (/ x z))) |
(* z (+ (* -1 x) (/ x z))) |
(* -1 z) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* -1 (* z (+ x y))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (/ y z))) |
(* z (+ (* -1 y) (/ y z))) |
(* z (+ (* -1 y) (/ y z))) |
(* -1 (* z (+ x y))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* -1 z) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* -1 (* z (+ x y))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (+ x y))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x y))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* x z)) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (+ x y))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* y z)) |
(* -1 (* z (+ y (* -1 (/ y z))))) |
(* -1 (* z (+ y (* -1 (/ y z))))) |
(* -1 (* z (+ y (* -1 (/ y z))))) |
(* -1 (* z (+ x y))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(+ x (* -1 (* x z))) |
(+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z))))) |
(+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z))))) |
(+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z))))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(* x (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(* x (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(* x (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* x (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
x |
(+ x y) |
(+ x y) |
(+ x y) |
(* y (+ 1 (* -1 z))) |
(* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))) |
(* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))) |
(* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (- 1 z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- 1 z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- 1 z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
y |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* y (+ 1 (/ x y))) |
(* -1 (* y (- z 1))) |
(* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1))) |
(* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1))) |
(* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* y (- 1 z)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* y (- 1 z)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* y (- 1 z)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+ y (* -1 (* y z))) |
(+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))) |
(+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))) |
(+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(* y (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(* y (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* y (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(* y (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
y |
(+ x y) |
(+ x y) |
(+ x y) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))) |
(* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))) |
(* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (- 1 z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- 1 z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- 1 z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
x |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* x (+ 1 (/ y x))) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1))) |
(* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1))) |
(* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* x (- 1 z)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* x (- 1 z)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* x (- 1 z)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
| Outputs |
|---|
(+ x y) |
(+.f64 y x) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
x |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
y |
(+ y (* -1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ y (* -1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ y (* -1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (+ x y))) |
(*.f64 (neg.f64 z) (+.f64 y x)) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ x y))) |
(*.f64 (neg.f64 z) (+.f64 y x)) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* z (+ x y))) |
(*.f64 (neg.f64 z) (+.f64 y x)) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* z (+ (* -1 x) (/ x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* z (+ (* -1 x) (/ x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* z (+ (* -1 x) (/ x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (+ x y))) |
(*.f64 (neg.f64 z) (+.f64 y x)) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* z (+ (* -1 y) (/ y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* z (+ (* -1 y) (/ y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* z (+ (* -1 y) (/ y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* -1 (* z (+ x y))) |
(*.f64 (neg.f64 z) (+.f64 y x)) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (+ x y))) |
(*.f64 (neg.f64 z) (+.f64 y x)) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (+ x y))) |
(*.f64 (neg.f64 z) (+.f64 y x)) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* z (+ x y))) |
(*.f64 (neg.f64 z) (+.f64 y x)) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (+ x y))) |
(*.f64 (neg.f64 z) (+.f64 y x)) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* y z)) |
(*.f64 (neg.f64 z) y) |
(* -1 (* z (+ y (* -1 (/ y z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* -1 (* z (+ y (* -1 (/ y z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* -1 (* z (+ y (* -1 (/ y z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* -1 (* z (+ x y))) |
(*.f64 (neg.f64 z) (+.f64 y x)) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ (* -1 (* x z)) (* y (+ 1 (* -1 z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
x |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(* y (+ 1 (* -1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (+ 1 (+ (* -1 z) (+ (* -1 (/ (* x z) y)) (/ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
y |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* y (+ 1 (/ x y))) |
(+.f64 y x) |
(* -1 (* y (- z 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* y (- (+ z (* -1 (/ (+ x (* -1 (* x z))) y))) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
y |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(* -1 (* y (- (* -1 (/ x y)) 1))) |
(+.f64 y x) |
(+ y (* -1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ y (+ (* -1 (* y z)) (* x (+ 1 (* -1 z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
y |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(+ x y) |
(+.f64 y x) |
(* x (+ 1 (* -1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (+ 1 (+ (* -1 z) (+ (* -1 (/ (* y z) x)) (/ y x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
x |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* x (+ 1 (/ y x))) |
(+.f64 y x) |
(* -1 (* x (- z 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (- (+ z (* -1 (/ (+ y (* -1 (* y z))) x))) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
x |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
(* -1 (* x (- (* -1 (/ y x)) 1))) |
(+.f64 y x) |
| 6 336× | lower-fma.f32 |
| 6 334× | lower-fma.f64 |
| 4 038× | lower-*.f32 |
| 4 032× | lower-*.f64 |
| 4 026× | lower-/.f64 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 83 |
| 0 | 28 | 83 |
| 1 | 92 | 81 |
| 2 | 833 | 81 |
| 0 | 8315 | 81 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) |
(+.f64 y x) |
(neg.f64 z) |
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(-.f64 #s(literal 1 binary64) z) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) |
(+.f64 x y) |
#s(approx (- 1 z) (neg.f64 z)) |
| Outputs |
|---|
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (*.f64 z z)) (+.f64 x y)) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 x y)) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 #s(literal 1 binary64) z)) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 x y) (-.f64 y x))) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 (+.f64 x y) (-.f64 x y))) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (*.f64 z z))) (pow.f64 (+.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
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(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(approx (- 1 z) (neg.f64 z)))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(approx (- 1 z) (neg.f64 z)))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (- 1 z) (neg.f64 z)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (- 1 z) (neg.f64 z)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (neg.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) (*.f64 (+.f64 x y) (-.f64 x y)))) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(approx (- 1 z) (neg.f64 z))) (-.f64 y x)) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(approx (- 1 z) (neg.f64 z))) (-.f64 x y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (- 1 z) (neg.f64 z))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (- 1 z) (neg.f64 z))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) (*.f64 (+.f64 x y) (-.f64 y x))) (-.f64 y x)) |
(/.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) (*.f64 (+.f64 x y) (-.f64 x y))) (-.f64 x y)) |
(/.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 #s(approx (- 1 z) (neg.f64 z)) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(approx (- 1 z) (neg.f64 z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) #s(approx (- 1 z) (neg.f64 z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (- 1 z) (neg.f64 z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(approx (- 1 z) (neg.f64 z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) (*.f64 (+.f64 x y) (-.f64 y x))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 x y) (*.f64 #s(approx (- 1 z) (neg.f64 z)) (*.f64 (+.f64 x y) (-.f64 x y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))))) |
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) x (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) |
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
(fma.f64 x #s(approx (- 1 z) (neg.f64 z)) (*.f64 y #s(approx (- 1 z) (neg.f64 z)))) |
(fma.f64 y #s(approx (- 1 z) (neg.f64 z)) (*.f64 x #s(approx (- 1 z) (neg.f64 z)))) |
(+.f64 (*.f64 x #s(approx (- 1 z) (neg.f64 z))) (*.f64 y #s(approx (- 1 z) (neg.f64 z)))) |
(+.f64 (*.f64 y #s(approx (- 1 z) (neg.f64 z))) (*.f64 x #s(approx (- 1 z) (neg.f64 z)))) |
(+.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) |
(+.f64 (*.f64 #s(approx (- 1 z) (neg.f64 z)) y) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
(*.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 y x)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 y x)))) |
(*.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (/.f64 #s(literal 1 binary64) (neg.f64 (-.f64 x y)))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (pow.f64 (-.f64 x y) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (+.f64 x y)) |
(*.f64 (+.f64 x y) #s(literal 1 binary64)) |
(pow.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x))) (*.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))) (+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))) |
(/.f64 (-.f64 (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y))) (*.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))) (+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 y y) (-.f64 y x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 y x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 y y) (-.f64 y x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)) (*.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 x y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 x x) (-.f64 x y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)) (*.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 y x))) (neg.f64 (neg.f64 (-.f64 y x)))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y))) (neg.f64 (neg.f64 (-.f64 x y)))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (-.f64 y x)) (*.f64 (-.f64 y x) (*.f64 x x))) (pow.f64 (-.f64 y x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x y)) (*.f64 (-.f64 x y) (*.f64 y y))) (pow.f64 (-.f64 x y) #s(literal 2 binary64))) |
(/.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 y x)) (neg.f64 (-.f64 y x))) |
(/.f64 (*.f64 (neg.f64 (+.f64 x y)) (-.f64 x y)) (neg.f64 (-.f64 x y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y x) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 x y) (-.f64 x y)) (-.f64 x y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 y (-.f64 y x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (+.f64 x y)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (+.f64 x y))) |
(neg.f64 (neg.f64 (+.f64 x y))) |
(fma.f64 (*.f64 y y) (pow.f64 (-.f64 y x) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x)))) |
(fma.f64 (*.f64 x x) (pow.f64 (-.f64 x y) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(fma.f64 #s(literal 1 binary64) x y) |
(fma.f64 #s(literal 1 binary64) y x) |
(fma.f64 x #s(literal 1 binary64) y) |
(fma.f64 y #s(literal 1 binary64) x) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (/.f64 (*.f64 x x) (-.f64 y x))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (/.f64 (*.f64 y y) (-.f64 x y))) |
(+.f64 (/.f64 (*.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (*.f64 x x) (-.f64 y x)))) |
(+.f64 (/.f64 (*.f64 x x) (-.f64 x y)) (neg.f64 (/.f64 (*.f64 y y) (-.f64 x y)))) |
(+.f64 x y) |
(+.f64 y x) |
#s(approx (- 1 z) (neg.f64 z)) |
Compiled 25 062 to 2 170 computations (91.3% saved)
10 alts after pruning (6 fresh and 4 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 241 | 6 | 1 247 |
| Fresh | 1 | 0 | 1 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 244 | 10 | 1 254 |
| Status | Accuracy | Program |
|---|---|---|
| 50.0% | (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) | |
| ✓ | 100.0% | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| ✓ | 50.8% | (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) |
| ▶ | 54.8% | #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
| ✓ | 50.3% | #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) |
| ✓ | 49.0% | #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
| ▶ | 24.4% | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) |
| ▶ | 31.4% | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
| ▶ | 26.2% | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
| ▶ | 25.5% | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
Compiled 100 to 108 computations (-8% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- 1 z) (neg.f64 z)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 z) (neg.f64 z)) y) | |
| cost-diff | 0 | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- 1 z) (neg.f64 z)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) | |
| cost-diff | 0 | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) | |
| cost-diff | 0 | #s(approx (- 1 z) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) | |
| cost-diff | 0 | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | #s(approx (- 1 z) #s(literal 1 binary64)) | |
| cost-diff | 0 | (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) | |
| cost-diff | 0 | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) x x) | |
| cost-diff | 0 | #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
| 1 712× | lower-fma.f32 |
| 1 710× | lower-fma.f64 |
| 528× | lower-*.f32 |
| 520× | lower-*.f64 |
| 392× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 148 |
| 0 | 27 | 148 |
| 1 | 45 | 148 |
| 2 | 76 | 148 |
| 3 | 162 | 148 |
| 4 | 368 | 148 |
| 5 | 888 | 148 |
| 6 | 1390 | 148 |
| 7 | 1754 | 148 |
| 8 | 1940 | 148 |
| 9 | 2028 | 148 |
| 10 | 2036 | 148 |
| 11 | 2040 | 148 |
| 12 | 2046 | 148 |
| 13 | 2050 | 148 |
| 0 | 2050 | 148 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
(fma.f64 (neg.f64 z) x x) |
(neg.f64 z) |
z |
x |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) |
#s(approx (- 1 z) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) |
#s(approx (- 1 z) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x) |
#s(approx (- 1 z) (neg.f64 z)) |
(neg.f64 z) |
z |
x |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) |
(*.f64 #s(approx (- 1 z) (neg.f64 z)) y) |
#s(approx (- 1 z) (neg.f64 z)) |
(neg.f64 z) |
z |
y |
| Outputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(fma.f64 (neg.f64 z) x x) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(neg.f64 z) |
z |
x |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) |
#s(approx (- 1 z) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
x |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) |
#s(approx (- 1 z) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
y |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x) |
#s(approx (- 1 z) (neg.f64 z)) |
(neg.f64 z) |
z |
x |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) |
(*.f64 #s(approx (- 1 z) (neg.f64 z)) y) |
#s(approx (- 1 z) (neg.f64 z)) |
(neg.f64 z) |
z |
y |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (- 1 z) (neg.f64 z)) y) | |
| accuracy | 31.54940231926371 | #s(approx (- 1 z) (neg.f64 z)) | |
| accuracy | 32.65732574540364 | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) | |
| accuracy | 28.911890238587997 | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) | |
| accuracy | 31.54940231926371 | #s(approx (- 1 z) (neg.f64 z)) | |
| accuracy | 0.00390625 | (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) | |
| accuracy | 31.88188251986971 | #s(approx (- 1 z) #s(literal 1 binary64)) | |
| accuracy | 32.65732574540364 | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) | |
| accuracy | 28.911890238587997 | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) | |
| accuracy | 31.88188251986971 | #s(approx (- 1 z) #s(literal 1 binary64)) | |
| accuracy | 0 | (fma.f64 (neg.f64 z) x x) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 28.911890238587997 | #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
| 34.0ms | 256× | 0 | valid |
Compiled 91 to 14 computations (84.6% saved)
ival-mult: 8.0ms (57.9% of total)ival-add: 3.0ms (21.7% of total)ival-sub: 1.0ms (7.2% of total)ival-neg: 1.0ms (7.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) (patch #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 z) #s(literal 1 binary64)) (patch #s(approx (- 1 z) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) y) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) (patch #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) (patch #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) (patch #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) (patch #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (- 1 z) #s(literal 1 binary64)) (patch #s(approx (- 1 z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- 1 z) #s(literal 1 binary64)) (patch #s(approx (- 1 z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- 1 z) #s(literal 1 binary64)) (patch #s(approx (- 1 z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- 1 z) #s(literal 1 binary64)) (patch #s(approx (- 1 z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* y z))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* y z))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* y z))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x y) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* -1 (* z (+ x y))))) (taylor 0 z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) y) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* y z))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) y) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* y z))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) y) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* y z))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) y) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x y))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) (patch #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) (patch #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) (patch #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) (patch #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor inf z) (#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ x z))) (taylor inf z) (#s(alt (fma.f64 (neg.f64 z) x x) (patch (fma.f64 (neg.f64 z) x x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x y))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor inf z) (#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ x z))) (taylor inf z) (#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ x z))) (taylor inf z) (#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ x z))) (taylor inf z) (#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- 1 z) #s(literal 1 binary64)) (patch #s(approx (- 1 z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ 1 z) 1)) (taylor inf z) (#s(alt #s(approx (- 1 z) #s(literal 1 binary64)) (patch #s(approx (- 1 z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ 1 z) 1)) (taylor inf z) (#s(alt #s(approx (- 1 z) #s(literal 1 binary64)) (patch #s(approx (- 1 z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ 1 z) 1)) (taylor inf z) (#s(alt #s(approx (- 1 z) #s(literal 1 binary64)) (patch #s(approx (- 1 z) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x y))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) (taylor inf z) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* y z)) (taylor inf z) (#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 y) (/ y z))) (taylor inf z) (#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 y) (/ y z))) (taylor inf z) (#s(alt (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) (patch (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) #<representation binary64>) () ())) ()) |
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#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) (patch #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | y | @ | 0 | ((* (+ x y) (- 1 z)) (+ (* (neg z) x) x) (neg z) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y)) |
| 1.0ms | x | @ | inf | ((* (+ x y) (- 1 z)) (+ (* (neg z) x) x) (neg z) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y)) |
| 1.0ms | x | @ | -inf | ((* (+ x y) (- 1 z)) (+ (* (neg z) x) x) (neg z) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y)) |
| 1.0ms | x | @ | 0 | ((* (+ x y) (- 1 z)) (+ (* (neg z) x) x) (neg z) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y)) |
| 1.0ms | z | @ | inf | ((* (+ x y) (- 1 z)) (+ (* (neg z) x) x) (neg z) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y) (* (+ x y) (- 1 z)) (* (- 1 z) x) (- 1 z) (* (+ x y) (- 1 z)) (* (- 1 z) y)) |
| 1× | egg-herbie |
| 11 076× | lower-fma.f64 |
| 11 076× | lower-fma.f32 |
| 3 200× | lower-*.f64 |
| 3 200× | lower-*.f32 |
| 1 772× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 75 | 2368 |
| 1 | 252 | 1828 |
| 2 | 717 | 1828 |
| 3 | 2121 | 1828 |
| 4 | 6599 | 1828 |
| 0 | 8060 | 1828 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x y) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
x |
(+ x (* -1 (* x z))) |
(+ x (* -1 (* x z))) |
(+ x (* -1 (* x z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(+ x y) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
x |
(+ x (* -1 (* x z))) |
(+ x (* -1 (* x z))) |
(+ x (* -1 (* x z))) |
1 |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(+ x y) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
y |
(+ y (* -1 (* y z))) |
(+ y (* -1 (* y z))) |
(+ y (* -1 (* y z))) |
(+ x y) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
x |
(+ x (* -1 (* x z))) |
(+ x (* -1 (* x z))) |
(+ x (* -1 (* x z))) |
1 |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(+ x y) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(+ x (+ y (* -1 (* z (+ x y))))) |
y |
(+ y (* -1 (* y z))) |
(+ y (* -1 (* y z))) |
(+ y (* -1 (* y z))) |
(* -1 (* z (+ x y))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ x z))) |
(* z (+ (* -1 x) (/ x z))) |
(* z (+ (* -1 x) (/ x z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (+ x y))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ x z))) |
(* z (+ (* -1 x) (/ x z))) |
(* z (+ (* -1 x) (/ x z))) |
(* -1 z) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* -1 (* z (+ x y))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (/ y z))) |
(* z (+ (* -1 y) (/ y z))) |
(* z (+ (* -1 y) (/ y z))) |
(* -1 (* z (+ x y))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ x z))) |
(* z (+ (* -1 x) (/ x z))) |
(* z (+ (* -1 x) (/ x z))) |
(* -1 z) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* -1 (* z (+ x y))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* z (+ (* -1 (+ x y)) (+ (/ x z) (/ y z)))) |
(* -1 (* y z)) |
(* z (+ (* -1 y) (/ y z))) |
(* z (+ (* -1 y) (/ y z))) |
(* z (+ (* -1 y) (/ y z))) |
(* -1 (* z (+ x y))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* x z)) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* z (+ x y))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* x z)) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (+ x y))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* y z)) |
(* -1 (* z (+ y (* -1 (/ y z))))) |
(* -1 (* z (+ y (* -1 (/ y z))))) |
(* -1 (* z (+ y (* -1 (/ y z))))) |
(* -1 (* z (+ x y))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* x z)) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (+ x y))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* y z)) |
(* -1 (* z (+ y (* -1 (/ y z))))) |
(* -1 (* z (+ y (* -1 (/ y z))))) |
(* -1 (* z (+ y (* -1 (/ y z))))) |
(* x (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(* x (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(* x (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* x (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(* x (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- 1 z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- 1 z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- 1 z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* y (- 1 z)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* y (- 1 z)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* y (- 1 z)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(* y (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (* -1 z))) |
(* y (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* y (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(* y (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* y (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(* x (- 1 z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (* -1 z))) |
(* x (+ 1 (* -1 z))) |
(* x (- 1 z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- 1 z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- 1 z)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- z 1))) |
(* -1 (* x (- z 1))) |
(* x (- 1 z)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* x (- 1 z)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
| Outputs |
|---|
(+ x y) |
(+.f64 y x) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
x |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
x |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
y |
(+ y (* -1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ y (* -1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ y (* -1 (* y z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
x |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ x y) |
(+.f64 y x) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ y (* -1 (* z (+ x y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
y |
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(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (+ 1 (* -1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (+ 1 (* -1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (+ 1 (* -1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (+ 1 (* -1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (- z 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* x (- z 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* x (- z 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* x (- z 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
| 8 216× | lower-fma.f32 |
| 8 214× | lower-fma.f64 |
| 5 590× | lower-*.f32 |
| 5 582× | lower-*.f64 |
| 2 736× | lower-/.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 20 | 123 |
| 0 | 27 | 123 |
| 1 | 80 | 123 |
| 2 | 494 | 123 |
| 3 | 6378 | 123 |
| 0 | 8986 | 123 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
(fma.f64 (neg.f64 z) x x) |
(neg.f64 z) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) |
#s(approx (- 1 z) #s(literal 1 binary64)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x) |
#s(approx (- 1 z) (neg.f64 z)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) |
(*.f64 #s(approx (- 1 z) (neg.f64 z)) y) |
| Outputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)) (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 z x) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 (fma.f64 z x x)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (neg.f64 (fma.f64 z x x)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 z z) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 z x) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x))) (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x x) (pow.f64 (*.f64 z x) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 z x) #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 x (*.f64 z x)) x) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 (+.f64 x (*.f64 z x)) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 x (*.f64 z x)) x) #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 x (*.f64 z x)) x) (-.f64 (*.f64 (+.f64 x (*.f64 z x)) x) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (pow.f64 (*.f64 z x) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x))) (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x)))) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(*.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (*.f64 x (fma.f64 (neg.f64 z) z #s(literal 1 binary64))) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (/.f64 (neg.f64 (fma.f64 z x x)) (neg.f64 (fma.f64 z x x)))) |
(*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (*.f64 (neg.f64 (fma.f64 z x x)) (pow.f64 (neg.f64 (fma.f64 z x x)) #s(literal -1 binary64)))) |
(*.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 z x) z))) (pow.f64 (+.f64 x (*.f64 z x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fma.f64 z x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (fma.f64 z x x)) #s(literal -1 binary64)) (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)) #s(literal -1 binary64)) (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64)))) |
(*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x)))) (pow.f64 (neg.f64 (neg.f64 (fma.f64 z x x))) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) (*.f64 (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64)) x)) |
(*.f64 (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x))) (pow.f64 (neg.f64 (fma.f64 z x x)) #s(literal -1 binary64))) |
(*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) (*.f64 (pow.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)) #s(literal -1 binary64)) x)) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)) (/.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)))) |
(*.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)) (*.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
(*.f64 x (-.f64 #s(literal 1 binary64) z)) |
(pow.f64 (/.f64 (+.f64 x (*.f64 z x)) (*.f64 x (-.f64 x (*.f64 (*.f64 z x) z)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (neg.f64 (fma.f64 z x x)) #s(literal -1 binary64))) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (neg.f64 (fma.f64 z x x)) #s(literal -1 binary64))) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 z z) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 z x) #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 z x) #s(literal 9 binary64))) (pow.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)) #s(literal -1 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 (*.f64 (fma.f64 z z #s(literal -1 binary64)) x) (-.f64 z #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (*.f64 z z)) x) (-.f64 z #s(literal 1 binary64))) |
(/.f64 (*.f64 (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64))) x) (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(/.f64 (*.f64 (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x))) #s(literal 1 binary64)) (neg.f64 (fma.f64 z x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x))) |
(/.f64 (*.f64 x (fma.f64 z z #s(literal -1 binary64))) (-.f64 z #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (*.f64 z z))) (-.f64 z #s(literal 1 binary64))) |
(/.f64 (*.f64 x (+.f64 #s(literal -1 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 (fma.f64 z z z) #s(literal 1 binary64)))) |
(/.f64 (*.f64 x (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64)))) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(/.f64 (*.f64 x (fma.f64 (neg.f64 z) z #s(literal 1 binary64))) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 (-.f64 #s(literal 1 binary64) (pow.f64 z #s(literal 3 binary64))) x) (+.f64 (fma.f64 z z z) #s(literal 1 binary64))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 z) z #s(literal 1 binary64)) x) (-.f64 #s(literal 1 binary64) z)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x)))) (*.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))))) (+.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (fma.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))) (*.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 z x) z)))) (neg.f64 (+.f64 x (*.f64 z x)))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x))))) (neg.f64 (neg.f64 (neg.f64 (fma.f64 z x x))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) #s(literal 1 binary64)) (*.f64 (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x x)) (neg.f64 (fma.f64 z x x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 z z) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 z x) #s(literal 4 binary64))) (neg.f64 (fma.f64 z x x)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 z x) #s(literal 9 binary64))) #s(literal 1 binary64)) (*.f64 (-.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (*.f64 (neg.f64 (fma.f64 z x x)) (*.f64 x x))) (*.f64 (neg.f64 (fma.f64 z x x)) (neg.f64 (fma.f64 z x x)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (neg.f64 (fma.f64 z x x)) (*.f64 (fma.f64 z z #s(literal 1 binary64)) (*.f64 x x)))) |
(/.f64 (*.f64 x (-.f64 x (*.f64 (*.f64 z x) z))) (+.f64 x (*.f64 z x))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (neg.f64 (fma.f64 z x x)) (+.f64 (fma.f64 (pow.f64 x #s(literal 4 binary64)) (*.f64 z z) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (*.f64 z x) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)))) |
(/.f64 (+.f64 (pow.f64 x #s(literal 9 binary64)) (pow.f64 (*.f64 z x) #s(literal 9 binary64))) (*.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)) (-.f64 (+.f64 (pow.f64 (*.f64 z x) #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))) |
(/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x)))) (neg.f64 (neg.f64 (fma.f64 z x x)))) |
(/.f64 (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x))) (neg.f64 (fma.f64 z x x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x (*.f64 z x)) (*.f64 x (-.f64 x (*.f64 (*.f64 z x) z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64))) |
(/.f64 x (pow.f64 (-.f64 #s(literal 1 binary64) z) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (neg.f64 (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x)))) (neg.f64 (fma.f64 z x x)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x)))) |
(neg.f64 (/.f64 (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x))) (neg.f64 (neg.f64 (fma.f64 z x x))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 z x) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 x x) (fma.f64 z z z) (*.f64 x x))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 z x) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 (-.f64 #s(literal 1 binary64) z) (*.f64 x x) (pow.f64 (*.f64 z x) #s(literal 2 binary64))) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (*.f64 x (fma.f64 (*.f64 z x) z (neg.f64 x)))) (*.f64 (-.f64 #s(literal 1 binary64) z) x) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))))) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) z (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) z (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) z x) |
(fma.f64 (*.f64 (*.f64 z x) z) (/.f64 x (neg.f64 (fma.f64 z x x))) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))))) |
(fma.f64 (neg.f64 x) z (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 x) z (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (neg.f64 x) z x) |
(fma.f64 (*.f64 z x) (/.f64 (*.f64 z x) (neg.f64 (fma.f64 z x x))) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))))) |
(fma.f64 (*.f64 z x) #s(literal -1 binary64) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 z x) #s(literal -1 binary64) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 z x) #s(literal -1 binary64) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 z x) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 z x) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal -1 binary64) (*.f64 z x) x) |
(fma.f64 (*.f64 z z) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))))) |
(fma.f64 (*.f64 (*.f64 (neg.f64 z) x) x) (/.f64 (neg.f64 z) (neg.f64 (fma.f64 z x x))) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))))) |
(fma.f64 (*.f64 x x) (/.f64 (*.f64 z z) (neg.f64 (fma.f64 z x x))) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))))) |
(fma.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (pow.f64 (neg.f64 (fma.f64 z x x)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))))) |
(fma.f64 (*.f64 (neg.f64 z) x) (/.f64 (*.f64 (neg.f64 z) x) (neg.f64 (fma.f64 z x x))) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))))) |
(fma.f64 (*.f64 (neg.f64 z) x) #s(literal 1 binary64) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (*.f64 (neg.f64 z) x) #s(literal 1 binary64) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (*.f64 (neg.f64 z) x) #s(literal 1 binary64) x) |
(fma.f64 (neg.f64 z) (/.f64 (*.f64 (*.f64 (neg.f64 z) x) x) (neg.f64 (fma.f64 z x x))) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))))) |
(fma.f64 (neg.f64 z) x (*.f64 x #s(literal 1 binary64))) |
(fma.f64 (neg.f64 z) x (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 (neg.f64 z) x x) |
(fma.f64 z (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 z (*.f64 #s(literal 1 binary64) (neg.f64 x)) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 z (*.f64 #s(literal 1 binary64) (neg.f64 x)) x) |
(fma.f64 z (neg.f64 x) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 z (neg.f64 x) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 z (neg.f64 x) x) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) x) x) |
(fma.f64 #s(literal 1 binary64) x (*.f64 (neg.f64 z) x)) |
(fma.f64 x (/.f64 (*.f64 (*.f64 z x) z) (neg.f64 (fma.f64 z x x))) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))))) |
(fma.f64 x (neg.f64 z) (*.f64 x #s(literal 1 binary64))) |
(fma.f64 x (neg.f64 z) (*.f64 #s(literal 1 binary64) x)) |
(fma.f64 x (neg.f64 z) x) |
(fma.f64 x #s(literal 1 binary64) (*.f64 (neg.f64 z) x)) |
(-.f64 (+.f64 x #s(literal 0 binary64)) (*.f64 z x)) |
(-.f64 (/.f64 (*.f64 x x) (+.f64 x (*.f64 z x))) (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (+.f64 x (*.f64 z x)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 z x) x)) |
(-.f64 x (*.f64 z x)) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (-.f64 #s(literal 1 binary64) z) x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (neg.f64 z) x)) |
(+.f64 (*.f64 #s(literal 1 binary64) x) (*.f64 (neg.f64 z) x)) |
(+.f64 (/.f64 (pow.f64 (*.f64 z x) #s(literal 2 binary64)) (neg.f64 (fma.f64 z x x))) (neg.f64 (/.f64 (*.f64 x x) (neg.f64 (fma.f64 z x x))))) |
(+.f64 (*.f64 (neg.f64 z) x) (*.f64 x #s(literal 1 binary64))) |
(+.f64 (*.f64 (neg.f64 z) x) (*.f64 #s(literal 1 binary64) x)) |
(+.f64 (*.f64 (neg.f64 z) x) x) |
(+.f64 x (*.f64 (neg.f64 z) x)) |
(*.f64 (*.f64 (neg.f64 z) z) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z z) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 (neg.f64 z) #s(literal 1 binary64)) |
(*.f64 z #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (neg.f64 z)) |
(pow.f64 (/.f64 z (*.f64 (neg.f64 z) z)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 z z) (pow.f64 z #s(literal 3 binary64))) #s(literal -1 binary64)) |
(/.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) z)) z) |
(/.f64 (*.f64 (neg.f64 z) z) (-.f64 #s(literal 0 binary64) (neg.f64 z))) |
(/.f64 (*.f64 (neg.f64 z) z) z) |
(/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) (*.f64 #s(literal 0 binary64) (neg.f64 z))))) |
(/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 (neg.f64 z) z)) |
(/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)) |
(/.f64 (*.f64 z z) (neg.f64 z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (neg.f64 z) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 z z) (pow.f64 z #s(literal 3 binary64)))) |
(neg.f64 z) |
(fma.f64 (*.f64 (neg.f64 z) z) (pow.f64 z #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (*.f64 z z) #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 #s(literal -1 binary64) z #s(literal 0 binary64)) |
(fma.f64 (neg.f64 z) #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 z #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) (neg.f64 z) #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) z) (/.f64 (*.f64 z z) z)) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) (neg.f64 z)) |
(-.f64 #s(literal 0 binary64) z) |
(+.f64 #s(literal 0 binary64) (neg.f64 z)) |
(+.f64 (neg.f64 z) #s(literal 0 binary64)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x) |
(*.f64 x #s(approx (- 1 z) #s(literal 1 binary64))) |
#s(approx (- 1 z) #s(literal 1 binary64)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
(*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y) |
(*.f64 y #s(approx (- 1 z) #s(literal 1 binary64))) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x) |
(*.f64 x #s(approx (- 1 z) (neg.f64 z))) |
#s(approx (- 1 z) (neg.f64 z)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) |
(*.f64 #s(approx (- 1 z) (neg.f64 z)) y) |
(*.f64 y #s(approx (- 1 z) (neg.f64 z))) |
Compiled 6 246 to 736 computations (88.2% saved)
10 alts after pruning (1 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 616 | 0 | 616 |
| Fresh | 0 | 1 | 1 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 4 | 4 |
| Total | 616 | 10 | 626 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 50.0% | (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
| ✓ | 100.0% | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| ✓ | 50.8% | (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) |
| ✓ | 54.8% | #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
| ✓ | 50.3% | #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) |
| ✓ | 49.0% | #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
| ✓ | 24.4% | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) |
| ✓ | 31.4% | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
| ✓ | 26.2% | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
| ✓ | 25.5% | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
Compiled 62 to 67 computations (-8.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | #s(approx (- 1 z) (neg.f64 z)) | |
| cost-diff | 320 | (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
| 32× | lower-+.f64 |
| 32× | lower-+.f32 |
| 20× | lower-fma.f32 |
| 20× | lower-*.f32 |
| 18× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 35 |
| 0 | 13 | 29 |
| 1 | 24 | 29 |
| 2 | 31 | 29 |
| 3 | 36 | 29 |
| 4 | 44 | 29 |
| 5 | 54 | 29 |
| 6 | 69 | 29 |
| 7 | 72 | 29 |
| 0 | 72 | 29 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
#s(approx (- 1 z) (neg.f64 z)) |
(neg.f64 z) |
z |
y |
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x) |
x |
| Outputs |
|---|
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) |
#s(approx (- 1 z) (neg.f64 z)) |
(neg.f64 z) |
z |
y |
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x) |
(*.f64 x #s(approx (- 1 z) (neg.f64 z))) |
x |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.0078125 | (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) | |
| accuracy | 0.5039007452111204 | (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) | |
| accuracy | 31.54940231926371 | #s(approx (- 1 z) (neg.f64 z)) |
| 49.0ms | 256× | 0 | valid |
Compiled 26 to 11 computations (57.7% saved)
ival-mult: 3.0ms (41.7% of total)ival-sub: 1.0ms (13.9% of total)ival-add: 1.0ms (13.9% of total)ival-neg: 1.0ms (13.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x y) (taylor 0 z) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* z (+ (* -1 x) (* -1 y))))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* z (+ (* -1 x) (* -1 y))))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ y (* z (+ (* -1 x) (* -1 y))))) (taylor 0 z) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 z)) (taylor 0 z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor 0 z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (* x z))) (taylor 0 z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (* -1 y))) (taylor inf z) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z))))) (taylor inf z) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z))))) (taylor inf z) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z))))) (taylor inf z) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ 1 z) 1)) (taylor inf z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ 1 z) 1)) (taylor inf z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ 1 z) 1)) (taylor inf z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor inf z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ x z))) (taylor inf z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ x z))) (taylor inf z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 x) (/ x z))) (taylor inf z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x y))) (taylor -inf z) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) (taylor -inf z) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) (taylor -inf z) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) (taylor -inf z) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- 1 (/ 1 z)))) (taylor -inf z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- 1 (/ 1 z)))) (taylor -inf z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- 1 (/ 1 z)))) (taylor -inf z) (#s(alt #s(approx (- 1 z) (neg.f64 z)) (patch #s(approx (- 1 z) (neg.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 z) (taylor -inf z) (#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x (* -1 (/ x z))))) (taylor -inf z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x (* -1 (/ x z))))) (taylor -inf z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ x (* -1 (/ x z))))) (taylor -inf z) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 y) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 z)) (taylor inf y) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) (taylor inf y) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) (taylor inf y) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) (taylor inf y) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 z)) (taylor -inf y) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) (taylor -inf y) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* y (- 1 z)) (taylor 0 x) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (- 1 z)) (* y (- 1 z))) (taylor 0 x) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor 0 x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) (taylor inf x) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (patch (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- 1 z)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) (patch (*.f64 #s(approx (- 1 z) (neg.f64 z)) x) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | inf | ((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (neg z) (* (- 1 z) x)) |
| 0.0ms | x | @ | inf | ((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (neg z) (* (- 1 z) x)) |
| 0.0ms | x | @ | -inf | ((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (neg z) (* (- 1 z) x)) |
| 0.0ms | z | @ | -inf | ((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (neg z) (* (- 1 z) x)) |
| 0.0ms | y | @ | inf | ((+ (* (- 1 z) y) (* (- 1 z) x)) (- 1 z) (neg z) (* (- 1 z) x)) |
| 1× | egg-herbie |
| 7 710× | lower-fma.f64 |
| 7 710× | lower-fma.f32 |
| 2 466× | lower-*.f64 |
| 2 466× | lower-*.f32 |
| 1 410× | lower--.f64 |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 64 | 538 |
| 1 | 209 | 485 |
| 2 | 659 | 404 |
| 3 | 1936 | 404 |
| 4 | 5829 | 404 |
| 0 | 8098 | 404 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x y) |
(+ x (+ y (* z (+ (* -1 x) (* -1 y))))) |
(+ x (+ y (* z (+ (* -1 x) (* -1 y))))) |
(+ x (+ y (* z (+ (* -1 x) (* -1 y))))) |
1 |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(+ 1 (* -1 z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
x |
(+ x (* -1 (* x z))) |
(+ x (* -1 (* x z))) |
(+ x (* -1 (* x z))) |
(* z (+ (* -1 x) (* -1 y))) |
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z))))) |
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z))))) |
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z))))) |
(* -1 z) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* z (- (/ 1 z) 1)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* x z)) |
(* z (+ (* -1 x) (/ x z))) |
(* z (+ (* -1 x) (/ x z))) |
(* z (+ (* -1 x) (/ x z))) |
(* -1 (* z (+ x y))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(* -1 z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 (* z (- 1 (/ 1 z)))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* x z)) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(* x (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(* y (- 1 z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(* y (- 1 z)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(* y (- 1 z)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
(* x (- 1 z)) |
| Outputs |
|---|
(+ x y) |
(+.f64 y x) |
(+ x (+ y (* z (+ (* -1 x) (* -1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ y (* z (+ (* -1 x) (* -1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ x (+ y (* z (+ (* -1 x) (* -1 y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(+ 1 (* -1 z)) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
x |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ x (* -1 (* x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* z (+ (* -1 x) (* -1 y))) |
(*.f64 (-.f64 (neg.f64 y) x) z) |
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* z (+ (* -1 x) (+ (* -1 y) (+ (/ x z) (/ y z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 z) |
(neg.f64 z) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* z (- (/ 1 z) 1)) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* z (+ (* -1 x) (/ x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* z (+ (* -1 x) (/ x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* z (+ (* -1 x) (/ x z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* z (+ x y))) |
(*.f64 (-.f64 (neg.f64 y) x) z) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* z (+ x (+ y (* -1 (/ (+ x y) z)))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 (* z (- 1 (/ 1 z)))) |
(-.f64 #s(literal 1 binary64) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* z (+ x (* -1 (/ x z))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- (+ 1 (/ (* x (- 1 z)) y)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* y (+ (* -1 (- 1 z)) (* -1 (/ (* x (- 1 z)) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* y (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) y) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(+ (* x (- 1 z)) (* y (- 1 z))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- (+ 1 (/ (* y (- 1 z)) x)) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* -1 (* x (+ (* -1 (- 1 z)) (* -1 (/ (* y (- 1 z)) x))))) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 y x)) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
(* x (- 1 z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) x) |
| 5 398× | lower-*.f32 |
| 5 396× | lower-*.f64 |
| 4 686× | lower-fma.f32 |
| 4 684× | lower-fma.f64 |
| 2 390× | lower-/.f64 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 9 | 32 |
| 0 | 13 | 26 |
| 1 | 49 | 26 |
| 2 | 325 | 26 |
| 3 | 3158 | 22 |
| 0 | 9782 | 22 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
#s(approx (- 1 z) (neg.f64 z)) |
(neg.f64 z) |
(*.f64 #s(approx (- 1 z) (neg.f64 z)) x) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 4 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 4 binary64)))) #s(literal -1 binary64)) (pow.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) (fma.f64 y y (*.f64 x x))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 6 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) (fma.f64 y y (*.f64 x x))) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 4 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 6 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 6 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) (+.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 9 binary64)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 9 binary64)))) #s(literal -1 binary64)) (pow.f64 (-.f64 (+.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 6 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y #s(approx (- 1 z) z)) x) #s(approx (- 1 z) z)) #s(literal 3 binary64))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(approx (- 1 z) z) (*.f64 (+.f64 x y) #s(approx (- 1 z) z))) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (+.f64 x y) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 3 binary64))) (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 4 binary64)) (pow.f64 (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y)) #s(literal 2 binary64)))) (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y)))) |
(*.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 6 binary64)))) (fma.f64 (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y)) (-.f64 (*.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 4 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)))) (*.f64 (+.f64 x y) #s(approx (- 1 z) z))) |
(*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y x) (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) #s(approx (- 1 z) z)) #s(approx (- 1 z) z)) (/.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (-.f64 y x))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) (pow.f64 (*.f64 #s(approx (- 1 z) z) (-.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) #s(literal -1 binary64)) (pow.f64 (pow.f64 (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
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(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (*.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)))) (pow.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 4 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 4 binary64))) (*.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) (fma.f64 y y (*.f64 x x))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 6 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 6 binary64))) (*.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) (fma.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) (fma.f64 y y (*.f64 x x))) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 6 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 6 binary64))) (*.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) (*.f64 #s(approx (- 1 z) z) (-.f64 x y))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 9 binary64)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 9 binary64))) (*.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) (-.f64 (+.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 6 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 (*.f64 y #s(approx (- 1 z) z)) x) #s(approx (- 1 z) z)) #s(literal 3 binary64))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)))) (neg.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64))) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 (+.f64 x y) #s(approx (- 1 z) z)) #s(literal -1 binary64)))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 3 binary64))) (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 #s(approx (- 1 z) z) (-.f64 x y)) (-.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (*.f64 (+.f64 x y) #s(approx (- 1 z) z)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (*.f64 (+.f64 x y) #s(approx (- 1 z) z)) #s(literal -1 binary64))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)))) (*.f64 (-.f64 y x) #s(approx (- 1 z) z)))) |
(neg.f64 (/.f64 (neg.f64 (+.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64))) (neg.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))) |
(neg.f64 (/.f64 (+.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 3 binary64))) (neg.f64 (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (-.f64 x y) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)))))) |
(fma.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 #s(approx (- 1 z) z))) (*.f64 x #s(approx (- 1 z) z))) |
(fma.f64 (exp.f64 (log.f64 #s(approx (- 1 z) z))) (exp.f64 (log.f64 y)) (*.f64 x #s(approx (- 1 z) z))) |
(fma.f64 (exp.f64 (log.f64 #s(approx (- 1 z) z))) (exp.f64 (log.f64 x)) (*.f64 y #s(approx (- 1 z) z))) |
(fma.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(approx (- 1 z) z))) (*.f64 y #s(approx (- 1 z) z))) |
(fma.f64 (pow.f64 y #s(literal 1 binary64)) (pow.f64 #s(approx (- 1 z) z) #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 z) z))) |
(fma.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 #s(approx (- 1 z) z) #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 z) z))) |
(fma.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 1 binary64)) (pow.f64 y #s(literal 1 binary64)) (*.f64 x #s(approx (- 1 z) z))) |
(fma.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64)) (*.f64 y #s(approx (- 1 z) z))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 3 binary64)))) (fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) x) (+.f64 x y) (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64))) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))) |
(fma.f64 (/.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (-.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)))) (*.f64 (+.f64 x y) #s(approx (- 1 z) z)) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))) |
(fma.f64 (/.f64 (*.f64 (*.f64 y #s(approx (- 1 z) z)) y) #s(approx (- 1 z) z)) (/.f64 #s(approx (- 1 z) z) (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))) |
(fma.f64 (/.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) #s(approx (- 1 z) z)) (/.f64 y (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))) |
(fma.f64 (/.f64 (*.f64 y y) #s(approx (- 1 z) z)) (/.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))) |
(fma.f64 (/.f64 (*.f64 y #s(approx (- 1 z) z)) #s(approx (- 1 z) z)) (/.f64 (*.f64 y #s(approx (- 1 z) z)) (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))) |
(fma.f64 (/.f64 y #s(approx (- 1 z) z)) (/.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))) |
(fma.f64 (/.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) #s(approx (- 1 z) z)) (/.f64 (*.f64 y y) (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))) |
(fma.f64 (/.f64 #s(approx (- 1 z) z) #s(approx (- 1 z) z)) (/.f64 (*.f64 (*.f64 y #s(approx (- 1 z) z)) y) (-.f64 y x)) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))) |
(fma.f64 (*.f64 (*.f64 y #s(approx (- 1 z) z)) y) (/.f64 #s(approx (- 1 z) z) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))) |
(fma.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (/.f64 y (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))) |
(fma.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) (/.f64 (*.f64 y y) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))) |
(fma.f64 (*.f64 y y) (/.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))) |
(fma.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (pow.f64 (*.f64 (-.f64 y x) #s(approx (- 1 z) z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))) |
(fma.f64 (*.f64 y #s(approx (- 1 z) z)) (/.f64 (*.f64 y #s(approx (- 1 z) z)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))) |
(fma.f64 x #s(approx (- 1 z) z) (*.f64 y #s(approx (- 1 z) z))) |
(fma.f64 y (/.f64 (*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 2 binary64)) y) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))) |
(fma.f64 y #s(approx (- 1 z) z) (*.f64 x #s(approx (- 1 z) z))) |
(fma.f64 #s(approx (- 1 z) z) (/.f64 (*.f64 (*.f64 y #s(approx (- 1 z) z)) y) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))) |
(fma.f64 #s(approx (- 1 z) z) x (*.f64 y #s(approx (- 1 z) z))) |
(fma.f64 #s(approx (- 1 z) z) y (*.f64 x #s(approx (- 1 z) z))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 z) z) (-.f64 x y))) (/.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 #s(approx (- 1 z) z) (-.f64 x y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 (+.f64 x y) #s(approx (- 1 z) z)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (/.f64 (pow.f64 (*.f64 y #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))) (neg.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 2 binary64)) (*.f64 (-.f64 y x) #s(approx (- 1 z) z))))) |
(+.f64 (*.f64 y #s(approx (- 1 z) z)) (*.f64 x #s(approx (- 1 z) z))) |
(+.f64 (*.f64 x #s(approx (- 1 z) z)) (*.f64 y #s(approx (- 1 z) z))) |
#s(approx (- 1 z) z) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 (*.f64 z z) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal -2 binary64))) |
(*.f64 z #s(literal -1 binary64)) |
(*.f64 z #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) z) |
(pow.f64 (/.f64 z (*.f64 z z)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 z #s(literal 1 binary64)) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 z z)) (pow.f64 z #s(literal 5 binary64))) (pow.f64 z #s(literal 4 binary64))) |
(/.f64 (*.f64 z z) z) |
(/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z z) #s(literal 0 binary64)))) |
(/.f64 (pow.f64 z #s(literal 3 binary64)) (*.f64 z z)) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 z z))) |
(/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) |
(neg.f64 z) |
(fma.f64 #s(literal -1 binary64) z #s(literal 0 binary64)) |
(fma.f64 (*.f64 z z) (pow.f64 z #s(literal -1 binary64)) #s(literal 0 binary64)) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 z #s(literal -2 binary64)) #s(literal 0 binary64)) |
(fma.f64 z #s(literal -1 binary64) #s(literal 0 binary64)) |
(fma.f64 z #s(literal 1 binary64) #s(literal 0 binary64)) |
(fma.f64 #s(literal 1 binary64) z #s(literal 0 binary64)) |
(-.f64 (/.f64 #s(literal 0 binary64) z) z) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 z z)) z) |
(-.f64 #s(literal 0 binary64) z) |
(exp.f64 (*.f64 (log.f64 z) #s(literal 1 binary64))) |
(exp.f64 (log.f64 z)) |
(+.f64 #s(literal 0 binary64) z) |
(+.f64 z #s(literal 0 binary64)) |
z |
(*.f64 (exp.f64 (log.f64 #s(approx (- 1 z) z))) (exp.f64 (log.f64 x))) |
(*.f64 (exp.f64 (log.f64 x)) (exp.f64 (log.f64 #s(approx (- 1 z) z)))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 #s(approx (- 1 z) z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 #s(approx (- 1 z) z) #s(literal 1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 x #s(approx (- 1 z) z)) |
(*.f64 #s(approx (- 1 z) z) x) |
(pow.f64 (*.f64 x #s(approx (- 1 z) z)) #s(literal 1 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 x #s(approx (- 1 z) z))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 x #s(approx (- 1 z) z)))) |
Compiled 5 606 to 599 computations (89.3% saved)
10 alts after pruning (0 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 298 | 0 | 298 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 9 | 9 |
| Total | 298 | 10 | 308 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 50.0% | (fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
| ✓ | 100.0% | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| ✓ | 50.8% | (*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) |
| ✓ | 54.8% | #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
| ✓ | 50.3% | #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) |
| ✓ | 49.0% | #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
| ✓ | 24.4% | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) |
| ✓ | 31.4% | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
| ✓ | 26.2% | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
| ✓ | 25.5% | #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
Compiled 149 to 97 computations (34.9% saved)
| Inputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) |
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) |
(fma.f64 #s(approx (- 1 z) (neg.f64 z)) y (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
(fma.f64 (-.f64 #s(literal 1 binary64) z) y (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
| Outputs |
|---|
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) |
6 calls:
| 22.0ms | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| 4.0ms | x |
| 4.0ms | (+.f64 x y) |
| 4.0ms | z |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| 100.0% | 1 | (+.f64 x y) |
| 100.0% | 1 | (-.f64 #s(literal 1 binary64) z) |
Compiled 16 to 25 computations (-56.3% saved)
| Inputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) |
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| Outputs |
|---|
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
6 calls:
| 110.0ms | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| 4.0ms | (+.f64 x y) |
| 4.0ms | x |
| 4.0ms | y |
| 4.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 100.0% | 1 | x |
| 100.0% | 1 | y |
| 100.0% | 1 | z |
| 100.0% | 1 | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| 100.0% | 1 | (+.f64 x y) |
| 100.0% | 1 | (-.f64 #s(literal 1 binary64) z) |
Compiled 16 to 25 computations (-56.3% saved)
| Inputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
(*.f64 (+.f64 x y) #s(approx (- 1 z) (neg.f64 z))) |
| Outputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
6 calls:
| 111.0ms | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| 3.0ms | (+.f64 x y) |
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.7% | 2 | x |
| 81.1% | 2 | y |
| 97.6% | 3 | z |
| 85.1% | 4 | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| 97.8% | 2 | (+.f64 x y) |
| 97.6% | 3 | (-.f64 #s(literal 1 binary64) z) |
Compiled 16 to 25 computations (-56.3% saved)
| Inputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
| Outputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y)) |
1 calls:
| 3.0ms | (+.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 2 | (+.f64 x y) |
Compiled 3 to 4 computations (-33.3% saved)
| Inputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
| Outputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) |
6 calls:
| 114.0ms | z |
| 3.0ms | x |
| 3.0ms | (+.f64 x y) |
| 3.0ms | y |
| 2.0ms | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.7% | 2 | y |
| 72.1% | 3 | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| 73.2% | 2 | x |
| 83.0% | 5 | (-.f64 #s(literal 1 binary64) z) |
| 83.0% | 5 | z |
| 78.1% | 2 | (+.f64 x y) |
Compiled 16 to 25 computations (-56.3% saved)
| Inputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) |
| Outputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
3 calls:
| 51.0ms | z |
| 2.0ms | (+.f64 x y) |
| 2.0ms | (-.f64 #s(literal 1 binary64) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 56.4% | 2 | (+.f64 x y) |
| 82.1% | 5 | (-.f64 #s(literal 1 binary64) z) |
| 82.1% | 5 | z |
Compiled 7 to 12 computations (-71.4% saved)
| Inputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
| Outputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) |
2 calls:
| 2.0ms | z |
| 2.0ms | (-.f64 #s(literal 1 binary64) z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 78.6% | 3 | z |
| 78.6% | 3 | (-.f64 #s(literal 1 binary64) z) |
Compiled 4 to 8 computations (-100% saved)
Total -30.7b remaining (-96.5%)
Threshold costs -30.7b (-96.5%)
| Inputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) x)) |
#s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) #s(literal 1 binary64)) y)) |
| Outputs |
|---|
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) |
6 calls:
| 3.0ms | x |
| 2.0ms | z |
| 2.0ms | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| 2.0ms | (+.f64 x y) |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 50.3% | 1 | (+.f64 x y) |
| 50.3% | 1 | y |
| 50.3% | 1 | (*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
| 50.3% | 1 | x |
| 50.3% | 1 | (-.f64 #s(literal 1 binary64) z) |
| 50.3% | 1 | z |
Compiled 16 to 25 computations (-56.3% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.2297570548878983e-294 | 2.298966428736496e-274 |
Compiled 10 to 13 computations (-30% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -1.2297570548878983e-294 | 2.298966428736496e-274 |
Compiled 10 to 13 computations (-30% saved)
| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 4.154164153379541e+247 | 4.598200371550943e+251 |
| 8.0ms | 8.260589354458723e+158 | 1.514915253648146e+160 |
| 11.0ms | 8.348879863007693e-17 | 1.5394249432512713e-15 |
| 8.0ms | -60087.698557643605 | -287.3583596156401 |
| 19.0ms | 464× | 0 | valid |
Compiled 330 to 449 computations (-36.1% saved)
ival-add: 3.0ms (35.5% of total)ival-mult: 3.0ms (35.5% of total)ival-sub: 2.0ms (23.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 4× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.154164153379541e+247 | 4.598200371550943e+251 |
| 1.0ms | 8.260589354458723e+158 | 1.514915253648146e+160 |
| 12.0ms | 1.5979481648853321e-13 | 10.741453232684636 |
| 1.0ms | -60087.698557643605 | -287.3583596156401 |
| 6.0ms | 160× | 0 | valid |
Compiled 360 to 491 computations (-36.4% saved)
ival-sub: 1.0ms (34.8% of total)ival-add: 1.0ms (34.8% of total)ival-mult: 1.0ms (34.8% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 1.5979481648853321e-13 | 10.741453232684636 |
| 1.0ms | -60087.698557643605 | -287.3583596156401 |
Compiled 180 to 251 computations (-39.4% saved)
| 1× | egg-herbie |
| 12× | *-commutative-binary64-*.f64 |
| 6× | +-commutative-binary64-+.f64 |
| 4× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 2× | 1-exp-binary32-exp.f32 |
| 2× | 1-exp-binary64-exp.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 315 |
| 1 | 62 | 315 |
| 2 | 65 | 315 |
| 3 | 66 | 315 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) |
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
(if (<=.f64 (+.f64 x y) #s(literal -5752618031559411/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(if (<=.f64 (+.f64 x y) #s(literal -5752618031559411/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(if (<=.f64 z #s(literal -300 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (if (<=.f64 z #s(literal 7707315649387635/5070602400912917605986812821504 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (if (<=.f64 z #s(literal 9500000000000000296151014851847569643653602275929426693671263018117322503383044057287701045971845193048483076439714832921082445871613070996973497164537765298176 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (if (<=.f64 z #s(literal 12500000000000000603488940056109732811980530802792894549134428648395345577188456942151768227981624282957445741931671326312442216005395607225049537364516551368503298913510696370079546038663264734897344155746819539412788781309033966106022119028287340544 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))))) |
(if (<=.f64 z #s(literal -300 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (if (<=.f64 z #s(literal 9500000000000000296151014851847569643653602275929426693671263018117322503383044057287701045971845193048483076439714832921082445871613070996973497164537765298176 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal 12500000000000000603488940056109732811980530802792894549134428648395345577188456942151768227981624282957445741931671326312442216005395607225049537364516551368503298913510696370079546038663264734897344155746819539412788781309033966106022119028287340544 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)))))) |
(if (<=.f64 z #s(literal -300 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)))) |
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) |
| Outputs |
|---|
(fma.f64 (+.f64 y x) (neg.f64 z) (+.f64 y x)) |
(fma.f64 (+.f64 x y) (neg.f64 z) (+.f64 x y)) |
(*.f64 (+.f64 x y) (-.f64 #s(literal 1 binary64) z)) |
(*.f64 (-.f64 #s(literal 1 binary64) z) (+.f64 x y)) |
(if (<=.f64 (+.f64 x y) #s(literal -5752618031559411/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) #s(approx (* (+ x y) (- 1 z)) (fma.f64 (neg.f64 z) x x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(if (<=.f64 (+.f64 x y) #s(literal -5752618031559411/5752618031559410904733776610524879147577526332615381032749762597047445625776030820246671274317041152675843644155884587445081272602061331919771117780463171980088572589595695528841671027239875011822498654466720184602820821834958812207165219537306471589227216341906761543678311870031350921754731402547975172390912 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) y))) |
(if (<=.f64 z #s(literal -300 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (if (<=.f64 z #s(literal 7707315649387635/5070602400912917605986812821504 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (if (<=.f64 z #s(literal 9500000000000000296151014851847569643653602275929426693671263018117322503383044057287701045971845193048483076439714832921082445871613070996973497164537765298176 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (if (<=.f64 z #s(literal 12500000000000000603488940056109732811980530802792894549134428648395345577188456942151768227981624282957445741931671326312442216005395607225049537364516551368503298913510696370079546038663264734897344155746819539412788781309033966106022119028287340544 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))))) |
(if (<=.f64 z #s(literal -300 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (if (<=.f64 z #s(literal 7707315649387635/5070602400912917605986812821504 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 x y)) (if (<=.f64 z #s(literal 9500000000000000296151014851847569643653602275929426693671263018117322503383044057287701045971845193048483076439714832921082445871613070996973497164537765298176 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)) (if (<=.f64 z #s(literal 12500000000000000603488940056109732811980530802792894549134428648395345577188456942151768227981624282957445741931671326312442216005395607225049537364516551368503298913510696370079546038663264734897344155746819539412788781309033966106022119028287340544 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #s(approx (* (+ x y) (- 1 z)) (*.f64 (-.f64 #s(literal 1 binary64) z) x)))))) |
(if (<=.f64 z #s(literal -300 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) (if (<=.f64 z #s(literal 9500000000000000296151014851847569643653602275929426693671263018117322503383044057287701045971845193048483076439714832921082445871613070996973497164537765298176 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal 12500000000000000603488940056109732811980530802792894549134428648395345577188456942151768227981624282957445741931671326312442216005395607225049537364516551368503298913510696370079546038663264734897344155746819539412788781309033966106022119028287340544 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)))))) |
(if (<=.f64 z #s(literal -300 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 x y)) (if (<=.f64 z #s(literal 9500000000000000296151014851847569643653602275929426693671263018117322503383044057287701045971845193048483076439714832921082445871613070996973497164537765298176 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal 12500000000000000603488940056109732811980530802792894549134428648395345577188456942151768227981624282957445741931671326312442216005395607225049537364516551368503298913510696370079546038663264734897344155746819539412788781309033966106022119028287340544 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) y)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)))))) |
(if (<=.f64 z #s(literal -300 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)))) |
(if (<=.f64 z #s(literal -300 binary64)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)) (if (<=.f64 z #s(literal 1 binary64)) #s(approx (* (+ x y) (- 1 z)) (+.f64 x y)) #s(approx (* (+ x y) (- 1 z)) (*.f64 #s(approx (- 1 z) (neg.f64 z)) x)))) |
#s(approx (* (+ x y) (- 1 z)) (+.f64 y x)) |
#s(approx (* (+ x y) (- 1 z)) (+.f64 x y)) |
| 13 482× | lower-fma.f64 |
| 13 482× | lower-fma.f32 |
| 12 146× | lower-fma.f64 |
| 12 146× | lower-fma.f32 |
| 6 336× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 19 | 83 |
| 0 | 28 | 83 |
| 1 | 92 | 81 |
| 2 | 833 | 81 |
| 0 | 8315 | 81 |
| 0 | 7 | 13 |
| 0 | 10 | 13 |
| 1 | 41 | 13 |
| 2 | 307 | 13 |
| 3 | 4032 | 13 |
| 0 | 9598 | 13 |
| 0 | 120 | 2083 |
| 1 | 408 | 1606 |
| 2 | 1146 | 1606 |
| 3 | 3602 | 1606 |
| 4 | 6933 | 1606 |
| 0 | 8114 | 1606 |
| 0 | 65 | 407 |
| 1 | 213 | 326 |
| 2 | 683 | 326 |
| 3 | 2182 | 326 |
| 4 | 5119 | 326 |
| 5 | 7892 | 326 |
| 0 | 8645 | 326 |
| 1× | done |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 256 to 144 computations (43.8% saved)
(sort x y)
Compiled 422 to 150 computations (64.5% saved)
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