
Time bar (total: 8.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 3 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 4 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 5 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 6 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 7 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 8 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 9 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 10 |
| 87.5% | 87.3% | 12.5% | 0.2% | 0% | 0% | 0% | 11 |
| 87.5% | 87.3% | 12.5% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 11 to 10 computations (9.1% saved)
| 433.0ms | 8 256× | 0 | valid |
ival-div: 78.0ms (34.6% of total)ival-mult: 53.0ms (23.5% of total)ival-sub: 43.0ms (19.1% of total)ival-add: 41.0ms (18.2% of total)ival-true: 7.0ms (3.1% of total)ival-assert: 3.0ms (1.3% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 18 | 0 | - | 0 | - | (*.f64 (/.f64 x y) (-.f64 z t)) |
| 0 | 0 | - | 0 | - | (/.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | (-.f64 z t) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
*.f64 | (*.f64 (/.f64 x y) (-.f64 z t)) | n*u | 4 | 0 |
*.f64 | (*.f64 (/.f64 x y) (-.f64 z t)) | n*o | 3 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 6 | 0 |
| - | 1 | 249 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 6 | 0 | 0 |
| - | 1 | 0 | 249 |
| number | freq |
|---|---|
| 0 | 249 |
| 1 | 7 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 34.0ms | 512× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-div: 7.0ms (45.1% of total)ival-sub: 3.0ms (19.3% of total)ival-mult: 3.0ms (19.3% of total)ival-add: 2.0ms (12.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 1 328× | lower-fma.f64 |
| 1 328× | lower-fma.f32 |
| 1 134× | unsub-neg |
| 968× | times-frac |
| 900× | sub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 48 | 136 |
| 1 | 124 | 132 |
| 2 | 395 | 126 |
| 3 | 1371 | 126 |
| 4 | 4257 | 126 |
| 5 | 7146 | 126 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 18 | 9 |
| 2 | 39 | 9 |
| 3 | 85 | 9 |
| 4 | 155 | 9 |
| 5 | 242 | 9 |
| 6 | 401 | 9 |
| 7 | 715 | 9 |
| 8 | 1302 | 9 |
| 9 | 2368 | 9 |
| 10 | 2579 | 9 |
| 11 | 2612 | 9 |
| 12 | 2628 | 9 |
| 13 | 2629 | 9 |
| 14 | 2629 | 9 |
| 0 | 2629 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 97.9% | (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
Compiled 9 to 8 computations (11.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 z t) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) (-.f64 z t)) | |
| cost-diff | 128 | (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
| 1 328× | lower-fma.f64 |
| 1 328× | lower-fma.f32 |
| 592× | lower-*.f32 |
| 590× | lower-*.f64 |
| 346× | associate-*r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 26 |
| 0 | 12 | 26 |
| 1 | 18 | 26 |
| 2 | 39 | 26 |
| 3 | 85 | 26 |
| 4 | 155 | 26 |
| 5 | 242 | 26 |
| 6 | 401 | 26 |
| 7 | 715 | 26 |
| 8 | 1302 | 26 |
| 9 | 2368 | 26 |
| 10 | 2579 | 26 |
| 11 | 2612 | 26 |
| 12 | 2628 | 26 |
| 13 | 2629 | 26 |
| 14 | 2629 | 26 |
| 0 | 2629 | 25 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
(*.f64 (/.f64 x y) (-.f64 z t)) |
(/.f64 x y) |
x |
y |
(-.f64 z t) |
z |
t |
| Outputs |
|---|
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(*.f64 (/.f64 x y) (-.f64 z t)) |
(*.f64 (/.f64 (-.f64 z t) y) x) |
(/.f64 x y) |
x |
y |
(-.f64 z t) |
z |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (-.f64 z t) | |
| accuracy | 0.00390625 | (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) | |
| accuracy | 4.364512452053368 | (*.f64 (/.f64 x y) (-.f64 z t)) |
| 18.0ms | 256× | 0 | valid |
Compiled 28 to 10 computations (64.3% saved)
ival-sub: 3.0ms (39.1% of total)ival-div: 2.0ms (26.1% of total)ival-mult: 2.0ms (26.1% of total)ival-add: 1.0ms (13% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x z) y) (taylor 0 t) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 t) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) y)) (/ (* x z) y)) (taylor 0 t) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) y)) (/ (* x z) y)) (taylor 0 t) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) y)) (/ (* x z) y)) (taylor 0 t) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 t)) (taylor 0 t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 t)) (taylor 0 t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 t)) (taylor 0 t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ 1 (* -1 (/ x y)))) (taylor inf t) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) (taylor inf t) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) (taylor inf t) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) (taylor inf t) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t x) y)) (taylor inf t) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) (taylor inf t) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) (taylor inf t) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) (taylor inf t) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor inf t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ z t) 1)) (taylor inf t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ z t) 1)) (taylor inf t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ z t) 1)) (taylor inf t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (/ x y) 1))) (taylor -inf t) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) (taylor -inf t) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) (taylor -inf t) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) (taylor -inf t) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t x) y)) (taylor -inf t) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) (taylor -inf t) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) (taylor -inf t) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) (taylor -inf t) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor -inf t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ 1 (* -1 (/ z t))))) (taylor -inf t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ 1 (* -1 (/ z t))))) (taylor -inf t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (+ 1 (* -1 (/ z t))))) (taylor -inf t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (+ t (* -1 (/ (* t x) y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) (taylor 0 z) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t x) y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) y)) (/ (* x z) y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) y)) (/ (* x z) y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) y)) (/ (* x z) y)) (taylor 0 z) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor 0 z) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (- z t) (taylor 0 z) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (- z t) (taylor 0 z) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (- z t) (taylor 0 z) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor inf z) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) (taylor inf z) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) (taylor inf z) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) (taylor inf z) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor inf z) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (* t x) (* y z))) (/ x y))) (taylor inf z) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (* t x) (* y z))) (/ x y))) (taylor inf z) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ (* -1 (/ (* t x) (* y z))) (/ x y))) (taylor inf z) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor inf z) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* -1 (/ t z)))) (taylor inf z) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* -1 (/ t z)))) (taylor inf z) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* z (+ 1 (* -1 (/ t z)))) (taylor inf z) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf z) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) (taylor -inf z) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf z) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x y)) (/ (* t x) (* y z))))) (taylor -inf z) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x y)) (/ (* t x) (* y z))))) (taylor -inf z) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x y)) (/ (* t x) (* y z))))) (taylor -inf z) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt z (taylor -inf z) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (/ t z) 1))) (taylor -inf z) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (/ t z) 1))) (taylor -inf z) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (/ t z) 1))) (taylor -inf z) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor 0 y) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t y) (* x (- z t))) y) (taylor 0 y) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t y) (* x (- z t))) y) (taylor 0 y) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t y) (* x (- z t))) y) (taylor 0 y) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor 0 y) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt t (taylor inf y) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ t (/ (* x (- z t)) y)) (taylor inf y) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ t (/ (* x (- z t)) y)) (taylor inf y) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ t (/ (* x (- z t)) y)) (taylor inf y) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor inf y) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor inf y) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor inf y) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor inf y) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt t (taylor -inf y) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ t (/ (* x (- z t)) y)) (taylor -inf y) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ t (/ (* x (- z t)) y)) (taylor -inf y) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ t (/ (* x (- z t)) y)) (taylor -inf y) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf y) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf y) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf y) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf y) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt t (taylor 0 x) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ t (* x (- (/ z y) (/ t y)))) (taylor 0 x) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ t (* x (- (/ z y) (/ t y)))) (taylor 0 x) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ t (* x (- (/ z y) (/ t y)))) (taylor 0 x) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor 0 x) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor 0 x) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor 0 x) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor 0 x) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ z y) (/ t y))) (taylor inf x) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ t x) (/ z y)) (/ t y))) (taylor inf x) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ t x) (/ z y)) (/ t y))) (taylor inf x) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (+ (/ t x) (/ z y)) (/ t y))) (taylor inf x) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) (patch (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) (-.f64 z t)) (patch (*.f64 (/.f64 x y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 34.0ms | x | @ | inf | ((+ (* (/ x y) (- z t)) t) (* (/ x y) (- z t)) (/ x y) (- z t)) |
| 1.0ms | y | @ | 0 | ((+ (* (/ x y) (- z t)) t) (* (/ x y) (- z t)) (/ x y) (- z t)) |
| 1.0ms | t | @ | -inf | ((+ (* (/ x y) (- z t)) t) (* (/ x y) (- z t)) (/ x y) (- z t)) |
| 1.0ms | x | @ | -inf | ((+ (* (/ x y) (- z t)) t) (* (/ x y) (- z t)) (/ x y) (- z t)) |
| 1.0ms | y | @ | -inf | ((+ (* (/ x y) (- z t)) t) (* (/ x y) (- z t)) (/ x y) (- z t)) |
| 1× | egg-herbie |
| 10 314× | lower-fma.f64 |
| 10 314× | lower-fma.f32 |
| 3 230× | lower-*.f64 |
| 3 230× | lower-*.f32 |
| 1 362× | unsub-neg |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 88 | 1245 |
| 1 | 280 | 1164 |
| 2 | 931 | 852 |
| 3 | 2950 | 852 |
| 4 | 5601 | 852 |
| 0 | 8095 | 816 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x z) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(/ (* x z) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
z |
(+ z (* -1 t)) |
(+ z (* -1 t)) |
(+ z (* -1 t)) |
(* t (+ 1 (* -1 (/ x y)))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* -1 (/ (* t x) y)) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(* -1 t) |
(* t (- (/ z t) 1)) |
(* t (- (/ z t) 1)) |
(* t (- (/ z t) 1)) |
(* -1 (* t (- (/ x y) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (/ (* t x) y)) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ z t))))) |
(* -1 (* t (+ 1 (* -1 (/ z t))))) |
(* -1 (* t (+ 1 (* -1 (/ z t))))) |
(+ t (* -1 (/ (* t x) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(* -1 (/ (* t x) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(* -1 t) |
(- z t) |
(- z t) |
(- z t) |
(/ (* x z) y) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(/ (* x z) y) |
(* z (+ (* -1 (/ (* t x) (* y z))) (/ x y))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (/ x y))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (/ x y))) |
z |
(* z (+ 1 (* -1 (/ t z)))) |
(* z (+ 1 (* -1 (/ t z)))) |
(* z (+ 1 (* -1 (/ t z)))) |
(/ (* x z) y) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(/ (* x z) y) |
(* -1 (* z (+ (* -1 (/ x y)) (/ (* t x) (* y z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (/ (* t x) (* y z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (/ (* t x) (* y z))))) |
z |
(* -1 (* z (- (/ t z) 1))) |
(* -1 (* z (- (/ t z) 1))) |
(* -1 (* z (- (/ t z) 1))) |
(/ (* x (- z t)) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
t |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
t |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
t |
(+ t (* x (- (/ z y) (/ t y)))) |
(+ t (* x (- (/ z y) (/ t y)))) |
(+ t (* x (- (/ z y) (/ t y)))) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* x (- (/ z y) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (- z t)) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
| Outputs |
|---|
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
z |
(+ z (* -1 t)) |
(-.f64 z t) |
(+ z (* -1 t)) |
(-.f64 z t) |
(+ z (* -1 t)) |
(-.f64 z t) |
(* t (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (/ (* t x) y)) |
(*.f64 (neg.f64 x) (/.f64 t y)) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 t) |
(neg.f64 t) |
(* t (- (/ z t) 1)) |
(-.f64 z t) |
(* t (- (/ z t) 1)) |
(-.f64 z t) |
(* t (- (/ z t) 1)) |
(-.f64 z t) |
(* -1 (* t (- (/ x y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (/ (* t x) y)) |
(*.f64 (neg.f64 x) (/.f64 t y)) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 t) |
(neg.f64 t) |
(* -1 (* t (+ 1 (* -1 (/ z t))))) |
(-.f64 z t) |
(* -1 (* t (+ 1 (* -1 (/ z t))))) |
(-.f64 z t) |
(* -1 (* t (+ 1 (* -1 (/ z t))))) |
(-.f64 z t) |
(+ t (* -1 (/ (* t x) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (/ (* t x) y)) |
(*.f64 (neg.f64 x) (/.f64 t y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 t) |
(neg.f64 t) |
(- z t) |
(-.f64 z t) |
(- z t) |
(-.f64 z t) |
(- z t) |
(-.f64 z t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(* z (+ (* -1 (/ (* t x) (* y z))) (/ x y))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* z (+ (* -1 (/ (* t x) (* y z))) (/ x y))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* z (+ (* -1 (/ (* t x) (* y z))) (/ x y))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
z |
(* z (+ 1 (* -1 (/ t z)))) |
(-.f64 z t) |
(* z (+ 1 (* -1 (/ t z)))) |
(-.f64 z t) |
(* z (+ 1 (* -1 (/ t z)))) |
(-.f64 z t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(* -1 (* z (+ (* -1 (/ x y)) (/ (* t x) (* y z))))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* z (+ (* -1 (/ x y)) (/ (* t x) (* y z))))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* z (+ (* -1 (/ x y)) (/ (* t x) (* y z))))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
z |
(* -1 (* z (- (/ t z) 1))) |
(-.f64 z t) |
(* -1 (* z (- (/ t z) 1))) |
(-.f64 z t) |
(* -1 (* z (- (/ t z) 1))) |
(-.f64 z t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/.f64 (fma.f64 (-.f64 z t) x (*.f64 t y)) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/.f64 (fma.f64 (-.f64 z t) x (*.f64 t y)) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/.f64 (fma.f64 (-.f64 z t) x (*.f64 t y)) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
t |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
t |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
t |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* x (- (/ z y) (/ t y))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
| 4 174× | lower-*.f32 |
| 4 172× | lower-*.f64 |
| 4 088× | lower-fma.f64 |
| 4 088× | lower-fma.f32 |
| 2 278× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 22 |
| 0 | 12 | 22 |
| 1 | 49 | 22 |
| 2 | 400 | 22 |
| 3 | 5236 | 22 |
| 0 | 8258 | 21 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
(*.f64 (/.f64 x y) (-.f64 z t)) |
(/.f64 x y) |
(-.f64 z t) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -3 binary64)) (pow.f64 t #s(literal 3 binary64))) (-.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -4 binary64)) (pow.f64 (*.f64 (-.f64 t (*.f64 (/.f64 (-.f64 z t) y) x)) t) #s(literal 2 binary64)))) (-.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -2 binary64)) (*.f64 (-.f64 t (*.f64 (/.f64 (-.f64 z t) y) x)) t))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -3 binary64)) (pow.f64 t #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 t (*.f64 (/.f64 (-.f64 z t) y) x)) t) #s(literal 3 binary64)) (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -6 binary64)))) (fma.f64 (*.f64 (-.f64 t (*.f64 (/.f64 (-.f64 z t) y) x)) t) (-.f64 (*.f64 (-.f64 t (*.f64 (/.f64 (-.f64 z t) y) x)) t) (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -2 binary64))) (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -2 binary64))) (fma.f64 (neg.f64 t) t (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -2 binary64)))) (fma.f64 (-.f64 z t) (/.f64 x y) t)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 t) t (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -2 binary64))) (-.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t (fma.f64 (-.f64 z t) (/.f64 x y) t) (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -2 binary64)))) |
(*.f64 (-.f64 (*.f64 t t) (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -2 binary64))) (pow.f64 (-.f64 t (*.f64 (/.f64 (-.f64 z t) y) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (/.f64 (-.f64 z t) y) x (neg.f64 t)) #s(literal -1 binary64)) (fma.f64 (neg.f64 t) t (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -2 binary64)))) |
(*.f64 (pow.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z t) y) x) (fma.f64 (/.f64 (-.f64 z t) y) x (neg.f64 t)) (*.f64 t t)) #s(literal -1 binary64)) (-.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -3 binary64)) (pow.f64 t #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 t) t (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -2 binary64)))) (pow.f64 (neg.f64 (fma.f64 (/.f64 (-.f64 z t) y) x (neg.f64 t))) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z t) y) x) (fma.f64 (/.f64 (-.f64 z t) y) x (neg.f64 t)) (*.f64 t t))) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (neg.f64 t) t (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -2 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 z t) y) x (neg.f64 t)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 (-.f64 z t) (/.f64 x y) t)) |
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z t) y) x) (fma.f64 (/.f64 (-.f64 z t) y) x (neg.f64 t)) (*.f64 t t)) (/.f64 (fma.f64 (-.f64 z t) (/.f64 x y) t) (fma.f64 (*.f64 (/.f64 (-.f64 z t) y) x) (fma.f64 (/.f64 (-.f64 z t) y) x (neg.f64 t)) (*.f64 t t)))) |
(*.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z t) y) x) (fma.f64 (/.f64 (-.f64 z t) y) x (neg.f64 t)) (*.f64 t t)) (*.f64 (fma.f64 (-.f64 z t) (/.f64 x y) t) (pow.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z t) y) x) (fma.f64 (/.f64 (-.f64 z t) y) x (neg.f64 t)) (*.f64 t t)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z t) y) x) (fma.f64 (/.f64 (-.f64 z t) y) x (neg.f64 t)) (*.f64 t t)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 (-.f64 z t) (/.f64 x y) t) (/.f64 (fma.f64 (/.f64 (-.f64 z t) y) x (neg.f64 t)) (fma.f64 (/.f64 (-.f64 z t) y) x (neg.f64 t)))) |
(*.f64 (fma.f64 (-.f64 z t) (/.f64 x y) t) (*.f64 (fma.f64 (/.f64 (-.f64 z t) y) x (neg.f64 t)) (pow.f64 (fma.f64 (/.f64 (-.f64 z t) y) x (neg.f64 t)) #s(literal -1 binary64)))) |
(pow.f64 (/.f64 (-.f64 t (*.f64 (/.f64 (-.f64 z t) y) x)) (-.f64 (*.f64 t t) (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -2 binary64)))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (fma.f64 (-.f64 z t) (/.f64 x y) t) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (fma.f64 (-.f64 z t) (/.f64 x y) t) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -4 binary64)) (pow.f64 t #s(literal 4 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 z t) y) x (neg.f64 t)) #s(literal -1 binary64))) (fma.f64 t t (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -2 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -6 binary64)) (pow.f64 t #s(literal 6 binary64))) (pow.f64 (fma.f64 (/.f64 (-.f64 z t) y) x (neg.f64 t)) #s(literal -1 binary64))) (fma.f64 (*.f64 t t) (fma.f64 t t (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -2 binary64))) (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -6 binary64)) (pow.f64 t #s(literal 6 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z t) y) x) (fma.f64 (/.f64 (-.f64 z t) y) x (neg.f64 t)) (*.f64 t t)) #s(literal -1 binary64))) (-.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -3 binary64)) (pow.f64 t #s(literal 3 binary64)))) |
(/.f64 (*.f64 (+.f64 (pow.f64 t #s(literal 9 binary64)) (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -9 binary64))) (pow.f64 (fma.f64 (*.f64 (/.f64 (-.f64 z t) y) x) (fma.f64 (/.f64 (-.f64 z t) y) x (neg.f64 t)) (*.f64 t t)) #s(literal -1 binary64))) (-.f64 (-.f64 (pow.f64 (/.f64 y (*.f64 (-.f64 z t) x)) #s(literal -6 binary64)) (pow.f64 t #s(literal 6 binary64))) (pow.f64 (*.f64 (*.f64 t x) (/.f64 (-.f64 z t) y)) #s(literal 3 binary64)))) |
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(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) x) |
(*.f64 #s(literal 1 binary64) (/.f64 x y)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 x y) #s(literal 1 binary64)) |
(*.f64 x (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (/.f64 y x) #s(literal 2 binary64)) #s(literal -1/2 binary64)) |
(pow.f64 (/.f64 y x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x y) #s(literal 1 binary64)) |
(/.f64 (*.f64 (neg.f64 x) #s(literal 1 binary64)) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (neg.f64 y)) |
(/.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) y) |
(/.f64 #s(literal -1 binary64) (/.f64 (neg.f64 y) x)) |
(/.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y x)) |
(/.f64 (neg.f64 x) (neg.f64 y)) |
(/.f64 x y) |
(neg.f64 (/.f64 #s(literal -1 binary64) (/.f64 y x))) |
(neg.f64 (*.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) y))) |
(neg.f64 (/.f64 (neg.f64 x) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 x) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (neg.f64 x) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 t z) t) #s(literal 2 binary64)))) (-.f64 (*.f64 z z) (*.f64 (+.f64 t z) t))) |
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 t z) t) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 t z) t) (-.f64 (*.f64 (+.f64 t z) t) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (fma.f64 (neg.f64 t) t (*.f64 z z))) (-.f64 z t)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t (-.f64 t z) (*.f64 z z))) |
(*.f64 (pow.f64 (+.f64 t z) #s(literal -1 binary64)) (fma.f64 (neg.f64 t) t (*.f64 z z))) |
(*.f64 (pow.f64 (fma.f64 (+.f64 t z) t (*.f64 z z)) #s(literal -1 binary64)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 t) t (*.f64 z z))) (pow.f64 (neg.f64 (+.f64 t z)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (+.f64 t z) t (*.f64 z z))) #s(literal -1 binary64))) |
(*.f64 (+.f64 t z) (/.f64 (-.f64 z t) (+.f64 t z))) |
(*.f64 (+.f64 t z) (*.f64 (-.f64 z t) (pow.f64 (+.f64 t z) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (*.f64 (pow.f64 (+.f64 t z) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (pow.f64 (+.f64 t z) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 z t)) |
(*.f64 (fma.f64 (+.f64 t z) t (*.f64 z z)) (/.f64 (-.f64 z t) (fma.f64 (+.f64 t z) t (*.f64 z z)))) |
(*.f64 (fma.f64 (+.f64 t z) t (*.f64 z z)) (*.f64 (-.f64 z t) (pow.f64 (fma.f64 (+.f64 t z) t (*.f64 z z)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (*.f64 (pow.f64 (fma.f64 (+.f64 t z) t (*.f64 z z)) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 t z) t (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (-.f64 z t) #s(literal 1 binary64)) |
(pow.f64 (/.f64 (pow.f64 (-.f64 z t) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 z t) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 t #s(literal 4 binary64))) (pow.f64 (+.f64 t z) #s(literal -1 binary64))) (fma.f64 t t (*.f64 z z))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 6 binary64))) (pow.f64 (+.f64 t z) #s(literal -1 binary64))) (fma.f64 (*.f64 t t) (fma.f64 t t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 t z) t (*.f64 z z)) #s(literal -1 binary64))) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 t #s(literal 9 binary64))) (pow.f64 (fma.f64 (+.f64 t z) t (*.f64 z z)) #s(literal -1 binary64))) (+.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (pow.f64 t #s(literal 6 binary64))))) |
(/.f64 (*.f64 (neg.f64 (fma.f64 (neg.f64 t) t (*.f64 z z))) #s(literal 1 binary64)) (neg.f64 (+.f64 t z))) |
(/.f64 (*.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal 1 binary64)) (neg.f64 (fma.f64 (+.f64 t z) t (*.f64 z z)))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)))) (neg.f64 (+.f64 t z))) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (fma.f64 (+.f64 t z) t (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z (+.f64 t z))) #s(literal 2 binary64)) (pow.f64 (*.f64 t (/.f64 t (+.f64 t z))) #s(literal 2 binary64))) (fma.f64 z (/.f64 z (+.f64 t z)) (*.f64 t (/.f64 t (+.f64 t z))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 t z) t (*.f64 z z))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (+.f64 t z) t (*.f64 z z))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 t z) t (*.f64 z z))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (+.f64 t z) t (*.f64 z z))))) |
(/.f64 (-.f64 (*.f64 t t) (*.f64 z z)) (-.f64 (neg.f64 t) z)) |
(/.f64 (-.f64 (pow.f64 (*.f64 z (/.f64 z (+.f64 t z))) #s(literal 3 binary64)) (pow.f64 (*.f64 t (/.f64 t (+.f64 t z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 z (/.f64 z (+.f64 t z))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 t (/.f64 t (+.f64 t z))) #s(literal 2 binary64)) (*.f64 (*.f64 z (/.f64 z (+.f64 t z))) (*.f64 t (/.f64 t (+.f64 t z))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 t z) t (*.f64 z z))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (+.f64 t z) t (*.f64 z z))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 t z) t (*.f64 z z))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (+.f64 t z) t (*.f64 z z))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 t z) t (*.f64 z z))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (+.f64 t z) t (*.f64 z z))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)))) (neg.f64 (neg.f64 (+.f64 t z)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 t z) t (*.f64 z z))))) |
(/.f64 (-.f64 (*.f64 (*.f64 z z) (+.f64 t z)) (*.f64 (+.f64 t z) (*.f64 t t))) (pow.f64 (+.f64 t z) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 t z) t (*.f64 z z))) (*.f64 (fma.f64 (+.f64 t z) t (*.f64 z z)) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 t z) t (*.f64 z z)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 t #s(literal 4 binary64))) (*.f64 (+.f64 t z) (fma.f64 t t (*.f64 z z)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 6 binary64))) (*.f64 (+.f64 t z) (fma.f64 (*.f64 t t) (fma.f64 t t (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 t #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 t z) t (*.f64 z z)) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 9 binary64)) (pow.f64 t #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 t z) t (*.f64 z z)) (+.f64 (pow.f64 z #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (pow.f64 t #s(literal 6 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 t) t (*.f64 z z))) (neg.f64 (+.f64 t z))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 t z) t (*.f64 z z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 z t) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (+.f64 t z)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 z t) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 z t) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (-.f64 (*.f64 z z) (*.f64 (neg.f64 t) z)))) |
(/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 (+.f64 t z) t (*.f64 z z))) |
(neg.f64 (/.f64 (neg.f64 (fma.f64 (neg.f64 t) t (*.f64 z z))) (+.f64 t z))) |
(neg.f64 (/.f64 (neg.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 (+.f64 t z) t (*.f64 z z)))) |
(neg.f64 (/.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (neg.f64 (+.f64 t z)))) |
(neg.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (neg.f64 (fma.f64 (+.f64 t z) t (*.f64 z z))))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (-.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 t z) t) #s(literal 2 binary64)))) (-.f64 (*.f64 z z) (*.f64 (+.f64 t z) t)) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (+.f64 t z) t (*.f64 z z))))) |
(fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 t z) t) #s(literal 3 binary64)) (pow.f64 z #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 t z) t) (-.f64 (*.f64 (+.f64 t z) t) (*.f64 z z)) (pow.f64 z #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (+.f64 t z) t (*.f64 z z))))) |
(fma.f64 (/.f64 (*.f64 z z) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t (-.f64 t z) (*.f64 z z)) (neg.f64 (*.f64 t (/.f64 t (+.f64 t z))))) |
(fma.f64 (/.f64 (*.f64 z z) (fma.f64 (neg.f64 t) t (*.f64 z z))) (-.f64 z t) (neg.f64 (*.f64 t (/.f64 t (+.f64 t z))))) |
(fma.f64 (pow.f64 z #s(literal 3/2 binary64)) (/.f64 (pow.f64 z #s(literal 3/2 binary64)) (fma.f64 (+.f64 t z) t (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (+.f64 t z) t (*.f64 z z))))) |
(fma.f64 #s(literal -1 binary64) t z) |
(fma.f64 (neg.f64 t) #s(literal 1 binary64) (*.f64 z #s(literal 1 binary64))) |
(fma.f64 #s(literal 1 binary64) (neg.f64 t) (*.f64 #s(literal 1 binary64) z)) |
(fma.f64 #s(literal 1 binary64) z (*.f64 #s(literal 1 binary64) (neg.f64 t))) |
(fma.f64 (*.f64 z z) (/.f64 z (fma.f64 (+.f64 t z) t (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (+.f64 t z) t (*.f64 z z))))) |
(fma.f64 (*.f64 z z) (pow.f64 (+.f64 t z) #s(literal -1 binary64)) (neg.f64 (*.f64 t (/.f64 t (+.f64 t z))))) |
(fma.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 t z) t (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (+.f64 t z) t (*.f64 z z))))) |
(fma.f64 t #s(literal -1 binary64) z) |
(fma.f64 z (/.f64 (*.f64 z z) (fma.f64 (+.f64 t z) t (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (+.f64 t z) t (*.f64 z z))))) |
(fma.f64 z (/.f64 z (+.f64 t z)) (neg.f64 (*.f64 t (/.f64 t (+.f64 t z))))) |
(fma.f64 z #s(literal 1 binary64) (*.f64 (neg.f64 t) #s(literal 1 binary64))) |
(-.f64 (+.f64 z #s(literal 0 binary64)) t) |
(-.f64 (*.f64 z (/.f64 z (+.f64 t z))) (*.f64 t (/.f64 t (+.f64 t z)))) |
(-.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 t z) t (*.f64 z z))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (+.f64 t z) t (*.f64 z z)))) |
(-.f64 #s(literal 0 binary64) (-.f64 t z)) |
(-.f64 z t) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 z t) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 (neg.f64 t) #s(literal 1 binary64)) (*.f64 z #s(literal 1 binary64))) |
(+.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 (neg.f64 t) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 t)) (*.f64 #s(literal 1 binary64) z)) |
(+.f64 (*.f64 #s(literal 1 binary64) z) (*.f64 #s(literal 1 binary64) (neg.f64 t))) |
(+.f64 (*.f64 z (/.f64 z (+.f64 t z))) (neg.f64 (*.f64 t (/.f64 t (+.f64 t z))))) |
(+.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) (fma.f64 (+.f64 t z) t (*.f64 z z))) (neg.f64 (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 (+.f64 t z) t (*.f64 z z))))) |
(+.f64 (neg.f64 t) z) |
(+.f64 z (neg.f64 t)) |
Compiled 9 151 to 1 118 computations (87.8% saved)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 485 | 10 | 495 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 486 | 10 | 496 |
| Status | Accuracy | Program |
|---|---|---|
| 63.4% | (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) | |
| 93.0% | (fma.f64 (/.f64 (-.f64 z t) y) x t) | |
| ▶ | 97.9% | (fma.f64 (/.f64 x y) (-.f64 z t) t) |
| 92.9% | (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) | |
| ▶ | 97.9% | (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) |
| ▶ | 92.0% | (+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) |
| 73.2% | (+.f64 #s(approx (* (/ x y) (- z t)) (/.f64 (*.f64 z x) y)) t) | |
| ▶ | 58.6% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) |
| ▶ | 38.2% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) |
| 66.3% | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t)) |
Compiled 182 to 166 computations (8.8% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 z t) | |
| cost-diff | 0 | (*.f64 (-.f64 z t) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 z t) x) y) | |
| cost-diff | 128 | (+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) | |
| cost-diff | 0 | (-.f64 z t) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (fma.f64 (/.f64 x y) (-.f64 z t) t) | |
| cost-diff | 0 | (-.f64 z t) | |
| cost-diff | 0 | (*.f64 (-.f64 z t) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 z t) x) y) | |
| cost-diff | 0 | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | (/.f64 (*.f64 z x) y) | |
| cost-diff | 0 | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) | |
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | (-.f64 z t) | |
| cost-diff | 128 | (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) | |
| cost-diff | 384 | (/.f64 (-.f64 z t) (/.f64 y x)) |
| 1 376× | lower-fma.f32 |
| 1 374× | lower-fma.f64 |
| 690× | times-frac |
| 670× | div-sub |
| 640× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 132 |
| 0 | 31 | 133 |
| 1 | 46 | 130 |
| 2 | 74 | 130 |
| 3 | 135 | 130 |
| 4 | 241 | 130 |
| 5 | 374 | 130 |
| 6 | 815 | 130 |
| 7 | 1637 | 130 |
| 8 | 2534 | 130 |
| 9 | 3326 | 130 |
| 10 | 3552 | 130 |
| 11 | 3598 | 130 |
| 12 | 3610 | 130 |
| 13 | 3610 | 130 |
| 0 | 3610 | 130 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) |
(/.f64 (-.f64 z t) (/.f64 y x)) |
(-.f64 z t) |
z |
t |
(/.f64 y x) |
y |
x |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z x) |
z |
x |
y |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(*.f64 (-.f64 z t) x) |
(-.f64 z t) |
z |
t |
x |
y |
(fma.f64 (/.f64 x y) (-.f64 z t) t) |
(/.f64 x y) |
x |
y |
(-.f64 z t) |
z |
t |
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(*.f64 (-.f64 z t) x) |
(-.f64 z t) |
z |
t |
x |
y |
| Outputs |
|---|
(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/.f64 (-.f64 z t) (/.f64 y x)) |
(/.f64 (*.f64 x (-.f64 z t)) y) |
(-.f64 z t) |
z |
t |
(/.f64 y x) |
y |
x |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 x z) y)) |
(/.f64 (*.f64 z x) y) |
(/.f64 (*.f64 x z) y) |
(*.f64 z x) |
(*.f64 x z) |
z |
x |
y |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 x (-.f64 z t)) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/.f64 (*.f64 x (-.f64 z t)) y) |
(*.f64 (-.f64 z t) x) |
(*.f64 x (-.f64 z t)) |
(-.f64 z t) |
z |
t |
x |
y |
(fma.f64 (/.f64 x y) (-.f64 z t) t) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/.f64 x y) |
x |
y |
(-.f64 z t) |
z |
t |
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/.f64 (*.f64 x (-.f64 z t)) y) |
(*.f64 (-.f64 z t) x) |
(*.f64 x (-.f64 z t)) |
(-.f64 z t) |
z |
t |
x |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 z t) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) | |
| accuracy | 0.01171875 | (*.f64 (-.f64 z t) x) | |
| accuracy | 5.82058075717704 | (/.f64 (*.f64 (-.f64 z t) x) y) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (-.f64 z t) | |
| accuracy | 1.3610284220998905 | (fma.f64 (/.f64 x y) (-.f64 z t) t) | |
| accuracy | 0 | (-.f64 z t) | |
| accuracy | 0.01171875 | (*.f64 (-.f64 z t) x) | |
| accuracy | 5.82058075717704 | (/.f64 (*.f64 (-.f64 z t) x) y) | |
| accuracy | 22.949524252526178 | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 4.377659842117728 | (/.f64 (*.f64 z x) y) | |
| accuracy | 37.63565581576171 | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0 | (-.f64 z t) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) | |
| accuracy | 4.337168702053368 | (/.f64 (-.f64 z t) (/.f64 y x)) |
| 286.0ms | 256× | 0 | valid |
Compiled 123 to 18 computations (85.4% saved)
ival-add: 248.0ms (91.7% of total)ival-sub: 9.0ms (3.3% of total)ival-div: 8.0ms (3% of total)ival-mult: 5.0ms (1.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 z t) (/.f64 y x)) (patch (/.f64 (-.f64 z t) (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) (patch (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) #<representation binary64>) () ()) |
#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 z x) y) (patch (/.f64 (*.f64 z x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (-.f64 z t) x) y) (patch (/.f64 (*.f64 (-.f64 z t) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 z t) x) (patch (*.f64 (-.f64 z t) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 x y) (-.f64 z t) t) (patch (fma.f64 (/.f64 x y) (-.f64 z t) t) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) (patch (+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x z) y) (taylor 0 t) (#s(alt (/.f64 (-.f64 z t) (/.f64 y x)) (patch (/.f64 (-.f64 z t) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) y)) (/ (* x z) y)) (taylor 0 t) (#s(alt (/.f64 (-.f64 z t) (/.f64 y x)) (patch (/.f64 (-.f64 z t) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) y)) (/ (* x z) y)) (taylor 0 t) (#s(alt (/.f64 (-.f64 z t) (/.f64 y x)) (patch (/.f64 (-.f64 z t) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) y)) (/ (* x z) y)) (taylor 0 t) (#s(alt (/.f64 (-.f64 z t) (/.f64 y x)) (patch (/.f64 (-.f64 z t) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 t) (#s(alt (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) (patch (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) (patch (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) (patch (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) (patch (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 t)) (taylor 0 t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 t)) (taylor 0 t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 t)) (taylor 0 t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 z t) x) y) (patch (/.f64 (*.f64 (-.f64 z t) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) y)) (/ (* x z) y)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 z t) x) y) (patch (/.f64 (*.f64 (-.f64 z t) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) y)) (/ (* x z) y)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 z t) x) y) (patch (/.f64 (*.f64 (-.f64 z t) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) y)) (/ (* x z) y)) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 z t) x) y) (patch (/.f64 (*.f64 (-.f64 z t) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 t) (#s(alt (*.f64 (-.f64 z t) x) (patch (*.f64 (-.f64 z t) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t x)) (* x z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 z t) x) (patch (*.f64 (-.f64 z t) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t x)) (* x z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 z t) x) (patch (*.f64 (-.f64 z t) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t x)) (* x z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 z t) x) (patch (*.f64 (-.f64 z t) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 t) (#s(alt (fma.f64 (/.f64 x y) (-.f64 z t) t) (patch (fma.f64 (/.f64 x y) (-.f64 z t) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 x y) (-.f64 z t) t) (patch (fma.f64 (/.f64 x y) (-.f64 z t) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 x y) (-.f64 z t) t) (patch (fma.f64 (/.f64 x y) (-.f64 z t) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 x y) (-.f64 z t) t) (patch (fma.f64 (/.f64 x y) (-.f64 z t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 t) (#s(alt (+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) (patch (+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) (patch (+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) (patch (+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) (patch (+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t x) y)) (taylor inf t) (#s(alt (/.f64 (-.f64 z t) (/.f64 y x)) (patch (/.f64 (-.f64 z t) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) (taylor inf t) (#s(alt (/.f64 (-.f64 z t) (/.f64 y x)) (patch (/.f64 (-.f64 z t) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) (taylor inf t) (#s(alt (/.f64 (-.f64 z t) (/.f64 y x)) (patch (/.f64 (-.f64 z t) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) (taylor inf t) (#s(alt (/.f64 (-.f64 z t) (/.f64 y x)) (patch (/.f64 (-.f64 z t) (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ 1 (* -1 (/ x y)))) (taylor inf t) (#s(alt (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) (patch (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) (taylor inf t) (#s(alt (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) (patch (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) (taylor inf t) (#s(alt (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) (patch (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) (taylor inf t) (#s(alt (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) (patch (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor inf t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ z t) 1)) (taylor inf t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ z t) 1)) (taylor inf t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ z t) 1)) (taylor inf t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ 1 (* -1 (/ x y)))) (taylor inf t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) (taylor inf t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) (taylor inf t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) (taylor inf t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ 1 (* -1 (/ x y)))) (taylor inf t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) (taylor inf t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) (taylor inf t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) (taylor inf t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t x) y)) (taylor inf t) (#s(alt (/.f64 (*.f64 (-.f64 z t) x) y) (patch (/.f64 (*.f64 (-.f64 z t) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) (taylor inf t) (#s(alt (/.f64 (*.f64 (-.f64 z t) x) y) (patch (/.f64 (*.f64 (-.f64 z t) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) (taylor inf t) (#s(alt (/.f64 (*.f64 (-.f64 z t) x) y) (patch (/.f64 (*.f64 (-.f64 z t) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) (taylor inf t) (#s(alt (/.f64 (*.f64 (-.f64 z t) x) y) (patch (/.f64 (*.f64 (-.f64 z t) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t x)) (taylor inf t) (#s(alt (*.f64 (-.f64 z t) x) (patch (*.f64 (-.f64 z t) x) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* -1 x) (/ (* x z) t))) (taylor inf t) (#s(alt (*.f64 (-.f64 z t) x) (patch (*.f64 (-.f64 z t) x) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* -1 x) (/ (* x z) t))) (taylor inf t) (#s(alt (*.f64 (-.f64 z t) x) (patch (*.f64 (-.f64 z t) x) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ (* -1 x) (/ (* x z) t))) (taylor inf t) (#s(alt (*.f64 (-.f64 z t) x) (patch (*.f64 (-.f64 z t) x) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ 1 (* -1 (/ x y)))) (taylor inf t) (#s(alt (fma.f64 (/.f64 x y) (-.f64 z t) t) (patch (fma.f64 (/.f64 x y) (-.f64 z t) t) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) (taylor inf t) (#s(alt (fma.f64 (/.f64 x y) (-.f64 z t) t) (patch (fma.f64 (/.f64 x y) (-.f64 z t) t) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) (patch (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) (patch (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) (patch (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 z x) y) (patch (/.f64 (*.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 z x) y) (patch (/.f64 (*.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 z x) y) (patch (/.f64 (*.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 z x) y) (patch (/.f64 (*.f64 z x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 z t) x) y) (patch (/.f64 (*.f64 (-.f64 z t) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 z t) x) y) (patch (/.f64 (*.f64 (-.f64 z t) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 z t) x) y) (patch (/.f64 (*.f64 (-.f64 z t) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 z t) x) y) (patch (/.f64 (*.f64 (-.f64 z t) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- z t)) (taylor -inf x) (#s(alt (*.f64 (-.f64 z t) x) (patch (*.f64 (-.f64 z t) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- z t)) (taylor -inf x) (#s(alt (*.f64 (-.f64 z t) x) (patch (*.f64 (-.f64 z t) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- z t)) (taylor -inf x) (#s(alt (*.f64 (-.f64 z t) x) (patch (*.f64 (-.f64 z t) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- z t)) (taylor -inf x) (#s(alt (*.f64 (-.f64 z t) x) (patch (*.f64 (-.f64 z t) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) (-.f64 z t) t) (patch (fma.f64 (/.f64 x y) (-.f64 z t) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) (-.f64 z t) t) (patch (fma.f64 (/.f64 x y) (-.f64 z t) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) (-.f64 z t) t) (patch (fma.f64 (/.f64 x y) (-.f64 z t) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 x y) (-.f64 z t) t) (patch (fma.f64 (/.f64 x y) (-.f64 z t) t) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) (patch (+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) (patch (+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) (patch (+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) (patch (+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((/ (- z t) (/ y x)) (+ (/ (- z t) (/ y x)) t) (- z t) (/ y x) (+ (* (/ x y) (- z t)) t) (/ (* z x) y) (* z x) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (- z t) x) (+ (* (/ x y) (- z t)) t) (/ x y) (+ (/ (* (- z t) x) y) t)) |
| 2.0ms | z | @ | -inf | ((/ (- z t) (/ y x)) (+ (/ (- z t) (/ y x)) t) (- z t) (/ y x) (+ (* (/ x y) (- z t)) t) (/ (* z x) y) (* z x) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (- z t) x) (+ (* (/ x y) (- z t)) t) (/ x y) (+ (/ (* (- z t) x) y) t)) |
| 2.0ms | y | @ | -inf | ((/ (- z t) (/ y x)) (+ (/ (- z t) (/ y x)) t) (- z t) (/ y x) (+ (* (/ x y) (- z t)) t) (/ (* z x) y) (* z x) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (- z t) x) (+ (* (/ x y) (- z t)) t) (/ x y) (+ (/ (* (- z t) x) y) t)) |
| 1.0ms | x | @ | inf | ((/ (- z t) (/ y x)) (+ (/ (- z t) (/ y x)) t) (- z t) (/ y x) (+ (* (/ x y) (- z t)) t) (/ (* z x) y) (* z x) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (- z t) x) (+ (* (/ x y) (- z t)) t) (/ x y) (+ (/ (* (- z t) x) y) t)) |
| 1.0ms | y | @ | 0 | ((/ (- z t) (/ y x)) (+ (/ (- z t) (/ y x)) t) (- z t) (/ y x) (+ (* (/ x y) (- z t)) t) (/ (* z x) y) (* z x) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (- z t) x) (+ (* (/ x y) (- z t)) t) (/ x y) (+ (/ (* (- z t) x) y) t)) |
| 1× | egg-herbie |
| 9 580× | lower-fma.f64 |
| 9 580× | lower-fma.f32 |
| 3 392× | lower-*.f64 |
| 3 392× | lower-*.f32 |
| 1 078× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 4659 |
| 1 | 345 | 4290 |
| 2 | 1096 | 3234 |
| 3 | 3343 | 3234 |
| 4 | 6456 | 3234 |
| 0 | 8209 | 3054 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x z) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/ (* x z) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
z |
(+ z (* -1 t)) |
(+ z (* -1 t)) |
(+ z (* -1 t)) |
(/ (* x z) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(/ (* x z) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(/ (* x z) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(* x z) |
(+ (* -1 (* t x)) (* x z)) |
(+ (* -1 (* t x)) (* x z)) |
(+ (* -1 (* t x)) (* x z)) |
(/ (* x z) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(/ (* x z) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(* -1 (/ (* t x) y)) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(* t (+ 1 (* -1 (/ x y)))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* -1 t) |
(* t (- (/ z t) 1)) |
(* t (- (/ z t) 1)) |
(* t (- (/ z t) 1)) |
(* t (+ 1 (* -1 (/ x y)))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (* -1 (/ x y)))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* -1 (/ (* t x) y)) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(* -1 (* t x)) |
(* t (+ (* -1 x) (/ (* x z) t))) |
(* t (+ (* -1 x) (/ (* x z) t))) |
(* t (+ (* -1 x) (/ (* x z) t))) |
(* t (+ 1 (* -1 (/ x y)))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (* -1 (/ x y)))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* -1 (/ (* t x) y)) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(* -1 (* t (- (/ x y) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ z t))))) |
(* -1 (* t (+ 1 (* -1 (/ z t))))) |
(* -1 (* t (+ 1 (* -1 (/ z t))))) |
(* -1 (* t (- (/ x y) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (/ x y) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (/ (* t x) y)) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(* -1 (* t x)) |
(* -1 (* t (+ x (* -1 (/ (* x z) t))))) |
(* -1 (* t (+ x (* -1 (/ (* x z) t))))) |
(* -1 (* t (+ x (* -1 (/ (* x z) t))))) |
(* -1 (* t (- (/ x y) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (/ x y) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (/ (* t x) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(+ t (* -1 (/ (* t x) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(* -1 t) |
(- z t) |
(- z t) |
(- z t) |
(+ t (* -1 (/ (* t x) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(+ t (* -1 (/ (* t x) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(* -1 (/ (* t x) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(* -1 (* t x)) |
(+ (* -1 (* t x)) (* x z)) |
(+ (* -1 (* t x)) (* x z)) |
(+ (* -1 (* t x)) (* x z)) |
(+ t (* -1 (/ (* t x) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(+ t (* -1 (/ (* t x) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(/ (* x z) y) |
(* z (+ (* -1 (/ (* t x) (* y z))) (/ x y))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (/ x y))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (/ x y))) |
(/ (* x z) y) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
z |
(* z (+ 1 (* -1 (/ t z)))) |
(* z (+ 1 (* -1 (/ t z)))) |
(* z (+ 1 (* -1 (/ t z)))) |
(/ (* x z) y) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(/ (* x z) y) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(/ (* x z) y) |
(* z (+ (* -1 (/ (* t x) (* y z))) (/ x y))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (/ x y))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (/ x y))) |
(* x z) |
(* z (+ x (* -1 (/ (* t x) z)))) |
(* z (+ x (* -1 (/ (* t x) z)))) |
(* z (+ x (* -1 (/ (* t x) z)))) |
(/ (* x z) y) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(/ (* x z) y) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(/ (* x z) y) |
(* -1 (* z (+ (* -1 (/ x y)) (/ (* t x) (* y z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (/ (* t x) (* y z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (/ (* t x) (* y z))))) |
(/ (* x z) y) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
z |
(* -1 (* z (- (/ t z) 1))) |
(* -1 (* z (- (/ t z) 1))) |
(* -1 (* z (- (/ t z) 1))) |
(/ (* x z) y) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(/ (* x z) y) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(/ (* x z) y) |
(* -1 (* z (+ (* -1 (/ x y)) (/ (* t x) (* y z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (/ (* t x) (* y z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (/ (* t x) (* y z))))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (/ (* t x) z)))) |
(* -1 (* z (+ (* -1 x) (/ (* t x) z)))) |
(* -1 (* z (+ (* -1 x) (/ (* t x) z)))) |
(/ (* x z) y) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(/ (* x z) y) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ (* x (- z t)) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x (- z t)) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (- z t)) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
t |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
t |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
t |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
t |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
t |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
t |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
t |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
t |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
t |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
t |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
t |
(+ t (* x (- (/ z y) (/ t y)))) |
(+ t (* x (- (/ z y) (/ t y)))) |
(+ t (* x (- (/ z y) (/ t y)))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
t |
(+ t (* x (- (/ z y) (/ t y)))) |
(+ t (* x (- (/ z y) (/ t y)))) |
(+ t (* x (- (/ z y) (/ t y)))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
t |
(+ t (* x (- (/ z y) (/ t y)))) |
(+ t (* x (- (/ z y) (/ t y)))) |
(+ t (* x (- (/ z y) (/ t y)))) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(* x (- z t)) |
(* x (- z t)) |
(* x (- z t)) |
(* x (- z t)) |
t |
(+ t (* x (- (/ z y) (/ t y)))) |
(+ t (* x (- (/ z y) (/ t y)))) |
(+ t (* x (- (/ z y) (/ t y)))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
t |
(+ t (* x (- (/ z y) (/ t y)))) |
(+ t (* x (- (/ z y) (/ t y)))) |
(+ t (* x (- (/ z y) (/ t y)))) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(* x (- (/ z y) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(* x (- (/ z y) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(* x (- (/ z y) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(* x (- z t)) |
(* x (- z t)) |
(* x (- z t)) |
(* x (- z t)) |
(* x (- (/ z y) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* x (- (/ z y) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ (* x (- z t)) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(* x z) |
(* x z) |
(* x z) |
(* x z) |
(/ (* x (- z t)) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(* x (- z t)) |
(* x (- z t)) |
(* x (- z t)) |
(* x (- z t)) |
(/ (* x (- z t)) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (* x (- z t)) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
| Outputs |
|---|
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
z |
(+ z (* -1 t)) |
(-.f64 z t) |
(+ z (* -1 t)) |
(-.f64 z t) |
(+ z (* -1 t)) |
(-.f64 z t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x z) |
(*.f64 z x) |
(+ (* -1 (* t x)) (* x z)) |
(*.f64 (-.f64 z t) x) |
(+ (* -1 (* t x)) (* x z)) |
(*.f64 (-.f64 z t) x) |
(+ (* -1 (* t x)) (* x z)) |
(*.f64 (-.f64 z t) x) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* t (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 t) |
(neg.f64 t) |
(* t (- (/ z t) 1)) |
(-.f64 z t) |
(* t (- (/ z t) 1)) |
(-.f64 z t) |
(* t (- (/ z t) 1)) |
(-.f64 z t) |
(* t (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* t x)) |
(*.f64 (neg.f64 t) x) |
(* t (+ (* -1 x) (/ (* x z) t))) |
(*.f64 (-.f64 z t) x) |
(* t (+ (* -1 x) (/ (* x z) t))) |
(*.f64 (-.f64 z t) x) |
(* t (+ (* -1 x) (/ (* x z) t))) |
(*.f64 (-.f64 z t) x) |
(* t (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* t (- (/ x y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 t) |
(neg.f64 t) |
(* -1 (* t (+ 1 (* -1 (/ z t))))) |
(-.f64 z t) |
(* -1 (* t (+ 1 (* -1 (/ z t))))) |
(-.f64 z t) |
(* -1 (* t (+ 1 (* -1 (/ z t))))) |
(-.f64 z t) |
(* -1 (* t (- (/ x y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* t (- (/ x y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* t x)) |
(*.f64 (neg.f64 t) x) |
(* -1 (* t (+ x (* -1 (/ (* x z) t))))) |
(*.f64 (-.f64 z t) x) |
(* -1 (* t (+ x (* -1 (/ (* x z) t))))) |
(*.f64 (-.f64 z t) x) |
(* -1 (* t (+ x (* -1 (/ (* x z) t))))) |
(*.f64 (-.f64 z t) x) |
(* -1 (* t (- (/ x y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
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(/.f64 y x) |
t |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
t |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
t |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
t |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
t |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
t |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
t |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
t |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
t |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x (- (/ z y) (/ t y))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(* x (- (/ z y) (/ t y))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x (- (/ z y) (/ t y))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- (/ z y) (/ t y))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* x (- (/ z y) (/ t y))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
| 9 382× | lower-fma.f32 |
| 9 380× | lower-fma.f64 |
| 6 228× | lower-*.f32 |
| 6 224× | lower-*.f64 |
| 3 156× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 21 | 92 |
| 0 | 31 | 90 |
| 1 | 120 | 90 |
| 2 | 786 | 90 |
| 0 | 9034 | 90 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 z t) (/.f64 y x)) |
(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) |
(-.f64 z t) |
(/.f64 y x) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z x) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(*.f64 (-.f64 z t) x) |
(fma.f64 (/.f64 x y) (-.f64 z t) t) |
(/.f64 x y) |
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) |
| Outputs |
|---|
(*.f64 (*.f64 (/.f64 (-.f64 t z) y) #s(literal -1 binary64)) x) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 (-.f64 t z) y)) (neg.f64 x)) |
(*.f64 (pow.f64 (/.f64 y (*.f64 x (-.f64 z t))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 y (*.f64 x (-.f64 z t))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (+.f64 t z) (/.f64 y x)) (/.f64 (-.f64 z t) (+.f64 t z))) |
(*.f64 (/.f64 (fma.f64 t (+.f64 t z) (*.f64 z z)) (/.f64 y x)) (/.f64 (-.f64 z t) (fma.f64 t (+.f64 t z) (*.f64 z z)))) |
(*.f64 (/.f64 (*.f64 (+.f64 t z) (-.f64 z t)) (/.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 (+.f64 t z) #s(literal -1 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 (*.f64 (+.f64 t z) (-.f64 z t)) (pow.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 t z) #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (*.f64 (+.f64 t z) (-.f64 z t)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 t z) #s(literal -1 binary64)) (/.f64 y x))) |
(*.f64 (/.f64 (*.f64 (+.f64 t z) (-.f64 z t)) (neg.f64 y)) (/.f64 (pow.f64 (+.f64 t z) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (*.f64 (+.f64 t z) (-.f64 z t)) y) (/.f64 (pow.f64 (+.f64 t z) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal -1 binary64) x)) (/.f64 (pow.f64 (fma.f64 t (+.f64 t z) (*.f64 z z)) #s(literal -1 binary64)) (neg.f64 y))) |
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 x #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 t (+.f64 t z) (*.f64 z z)) #s(literal -1 binary64)) y)) |
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 t (+.f64 t z) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 y x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (neg.f64 y)) (/.f64 (pow.f64 (fma.f64 t (+.f64 t z) (*.f64 z z)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) y) (/.f64 (pow.f64 (fma.f64 t (+.f64 t z) (*.f64 z z)) #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 z t) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 (-.f64 z t) (/.f64 #s(literal -1 binary64) x)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (/.f64 (-.f64 z t) (pow.f64 x #s(literal -1 binary64))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x)) (/.f64 (-.f64 t z) y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (-.f64 t z) y)) |
(*.f64 (pow.f64 (/.f64 (/.f64 y x) (*.f64 (+.f64 t z) (-.f64 z t))) #s(literal -1 binary64)) (pow.f64 (+.f64 t z) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y x) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 t (+.f64 t z) (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 t z) y) (*.f64 (neg.f64 x) #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 t z) y) (/.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 (-.f64 t z) y) (neg.f64 x)) |
(*.f64 (*.f64 (+.f64 t z) (/.f64 (*.f64 x (-.f64 z t)) y)) (pow.f64 (+.f64 t z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 x y)) (pow.f64 (fma.f64 t (+.f64 t z) (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (/.f64 x y) (+.f64 t z)) (-.f64 z t)) (pow.f64 (+.f64 t z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (/.f64 x y) (-.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (fma.f64 t (+.f64 t z) (*.f64 z z)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 z t)) x) |
(*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 y x) z) #s(literal -2 binary64)) (pow.f64 (*.f64 t (/.f64 x y)) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 x y) (+.f64 t z)))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (/.f64 (-.f64 z t) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (/.f64 #s(literal -1 binary64) y) (*.f64 (-.f64 t z) x)) |
(*.f64 (-.f64 (pow.f64 (/.f64 (/.f64 y x) z) #s(literal -3 binary64)) (pow.f64 (*.f64 t (/.f64 x y)) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 (/.f64 (/.f64 y x) z) #s(literal -2 binary64)) (*.f64 (*.f64 t (/.f64 x y)) (fma.f64 (/.f64 t y) x (*.f64 (/.f64 x y) z)))))) |
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(fma.f64 (neg.f64 x) (/.f64 (neg.f64 z) y) (fma.f64 (/.f64 x y) (neg.f64 t) t)) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 z) y) (fma.f64 (/.f64 (neg.f64 t) y) x t)) |
(fma.f64 (neg.f64 x) (/.f64 (neg.f64 z) y) (neg.f64 (fma.f64 (/.f64 t y) x (neg.f64 t)))) |
(fma.f64 (neg.f64 x) (/.f64 (-.f64 t z) y) t) |
(fma.f64 (*.f64 (-.f64 t z) x) (*.f64 (/.f64 #s(literal -1 binary64) y) #s(literal 1 binary64)) t) |
(fma.f64 (*.f64 (-.f64 t z) x) (/.f64 #s(literal -1 binary64) y) t) |
(fma.f64 (/.f64 x y) (-.f64 z t) t) |
(fma.f64 (/.f64 x y) z (fma.f64 (/.f64 x y) (neg.f64 t) t)) |
(fma.f64 (/.f64 x y) z (fma.f64 (/.f64 (neg.f64 t) y) x t)) |
(fma.f64 (/.f64 x y) z (neg.f64 (fma.f64 (/.f64 t y) x (neg.f64 t)))) |
(fma.f64 (/.f64 (*.f64 x (-.f64 z t)) y) #s(literal 1 binary64) t) |
(fma.f64 (*.f64 x (-.f64 z t)) (*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) t) |
(fma.f64 (*.f64 x (-.f64 z t)) (pow.f64 y #s(literal -1 binary64)) t) |
(fma.f64 (*.f64 x z) (pow.f64 y #s(literal -1 binary64)) (fma.f64 (/.f64 x y) (neg.f64 t) t)) |
(fma.f64 (*.f64 x z) (pow.f64 y #s(literal -1 binary64)) (fma.f64 (/.f64 (neg.f64 t) y) x t)) |
(fma.f64 (*.f64 x z) (pow.f64 y #s(literal -1 binary64)) (neg.f64 (fma.f64 (/.f64 t y) x (neg.f64 t)))) |
(fma.f64 x (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) y)) (fma.f64 (/.f64 x y) (neg.f64 t) t)) |
(fma.f64 x (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) y)) (fma.f64 (/.f64 (neg.f64 t) y) x t)) |
(fma.f64 x (*.f64 (neg.f64 z) (/.f64 #s(literal -1 binary64) y)) (neg.f64 (fma.f64 (/.f64 t y) x (neg.f64 t)))) |
(fma.f64 x (*.f64 (*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 z t)) #s(literal 1 binary64)) t) |
(fma.f64 x (*.f64 (/.f64 (-.f64 z t) y) #s(literal 1 binary64)) t) |
(fma.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) z) (fma.f64 (/.f64 x y) (neg.f64 t) t)) |
(fma.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) z) (fma.f64 (/.f64 (neg.f64 t) y) x t)) |
(fma.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) z) (neg.f64 (fma.f64 (/.f64 t y) x (neg.f64 t)))) |
(fma.f64 x (*.f64 (pow.f64 y #s(literal -1 binary64)) (-.f64 z t)) t) |
(fma.f64 x (/.f64 z y) (fma.f64 (/.f64 x y) (neg.f64 t) t)) |
(fma.f64 x (/.f64 z y) (fma.f64 (/.f64 (neg.f64 t) y) x t)) |
(fma.f64 x (/.f64 z y) (neg.f64 (fma.f64 (/.f64 t y) x (neg.f64 t)))) |
(fma.f64 x (/.f64 (-.f64 z t) y) t) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(fma.f64 t #s(literal 1 binary64) (/.f64 (*.f64 x (-.f64 z t)) y)) |
(fma.f64 z (/.f64 x y) (fma.f64 (/.f64 x y) (neg.f64 t) t)) |
(fma.f64 z (/.f64 x y) (fma.f64 (/.f64 (neg.f64 t) y) x t)) |
(fma.f64 z (/.f64 x y) (neg.f64 (fma.f64 (/.f64 t y) x (neg.f64 t)))) |
(-.f64 (/.f64 (*.f64 t t) (-.f64 t (/.f64 (*.f64 x (-.f64 z t)) y))) (/.f64 (pow.f64 (/.f64 (*.f64 x (-.f64 z t)) y) #s(literal 2 binary64)) (-.f64 t (/.f64 (*.f64 x (-.f64 z t)) y)))) |
(-.f64 (+.f64 t (*.f64 (/.f64 x y) z)) (*.f64 t (/.f64 x y))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x (-.f64 z t)) y) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x (-.f64 z t)) y) t)) (/.f64 (*.f64 (neg.f64 t) t) (fma.f64 (-.f64 t z) (/.f64 x y) t))) |
(-.f64 (*.f64 (/.f64 x y) z) (fma.f64 (/.f64 t y) x (neg.f64 t))) |
(-.f64 t (*.f64 (/.f64 (-.f64 t z) y) x)) |
(+.f64 (+.f64 t (*.f64 (/.f64 x y) z)) (*.f64 (/.f64 x y) (neg.f64 t))) |
(+.f64 (+.f64 t (*.f64 (/.f64 x y) z)) (*.f64 t (/.f64 (neg.f64 x) y))) |
(+.f64 (/.f64 (pow.f64 (/.f64 (*.f64 x (-.f64 z t)) y) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 x (-.f64 z t)) y) t)) (neg.f64 (/.f64 (*.f64 (neg.f64 t) t) (fma.f64 (-.f64 t z) (/.f64 x y) t)))) |
(+.f64 (*.f64 (/.f64 x y) z) (fma.f64 (/.f64 x y) (neg.f64 t) t)) |
(+.f64 (*.f64 (/.f64 x y) z) (fma.f64 (/.f64 (neg.f64 t) y) x t)) |
(+.f64 (*.f64 (/.f64 x y) z) (neg.f64 (fma.f64 (/.f64 t y) x (neg.f64 t)))) |
(+.f64 (/.f64 (*.f64 x (-.f64 z t)) y) t) |
(+.f64 t (/.f64 (*.f64 x (-.f64 z t)) y)) |
Compiled 47 337 to 3 076 computations (93.5% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 897 | 8 | 2 905 |
| Fresh | 3 | 2 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 902 | 13 | 2 915 |
| Status | Accuracy | Program |
|---|---|---|
| 63.4% | (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) | |
| ▶ | 93.0% | (fma.f64 (/.f64 (-.f64 z t) y) x t) |
| ✓ | 97.9% | (fma.f64 (/.f64 x y) (-.f64 z t) t) |
| 66.3% | (fma.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)) t) | |
| ▶ | 61.4% | (+.f64 (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) t) |
| ▶ | 73.2% | (+.f64 (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) t) |
| ✓ | 58.6% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) |
| 28.5% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) | |
| ✓ | 38.2% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) |
| 41.2% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.f64 y x))) | |
| 38.5% | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) | |
| ▶ | 41.2% | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) |
| ▶ | 29.2% | #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) |
Compiled 188 to 186 computations (1.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- z t) (neg.f64 t)) | |
| cost-diff | 0 | (*.f64 #s(approx (- z t) (neg.f64 t)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) | |
| cost-diff | 128 | (+.f64 (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) t) | |
| cost-diff | 0 | (*.f64 z x) | |
| cost-diff | 0 | #s(approx (* (- z t) x) (*.f64 z x)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) | |
| cost-diff | 0 | (+.f64 (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) t) | |
| cost-diff | 0 | (/.f64 (neg.f64 t) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 t) y) x) | |
| cost-diff | 0 | #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x)) | |
| cost-diff | 0 | #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) z) | |
| cost-diff | 0 | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) | |
| cost-diff | 0 | (-.f64 z t) | |
| cost-diff | 0 | (/.f64 (-.f64 z t) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 (-.f64 z t) y) x t) |
| 1 680× | lower-fma.f32 |
| 1 678× | lower-fma.f64 |
| 816× | lower-*.f32 |
| 808× | lower-*.f64 |
| 652× | times-frac |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 180 |
| 0 | 44 | 178 |
| 1 | 71 | 178 |
| 2 | 103 | 178 |
| 3 | 180 | 178 |
| 4 | 269 | 178 |
| 5 | 387 | 178 |
| 6 | 632 | 178 |
| 7 | 1096 | 178 |
| 8 | 1964 | 178 |
| 9 | 2913 | 178 |
| 10 | 3217 | 178 |
| 11 | 3641 | 178 |
| 12 | 3673 | 178 |
| 13 | 3682 | 178 |
| 0 | 3682 | 177 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/.f64 (-.f64 z t) y) |
(-.f64 z t) |
z |
t |
y |
x |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
#s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) |
#s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(/.f64 (neg.f64 t) y) |
(neg.f64 t) |
t |
y |
x |
(+.f64 (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) t) |
(/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) |
#s(approx (* (- z t) x) (*.f64 z x)) |
(*.f64 z x) |
z |
x |
y |
t |
(+.f64 (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) t) |
(/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) |
(*.f64 #s(approx (- z t) (neg.f64 t)) x) |
#s(approx (- z t) (neg.f64 t)) |
(neg.f64 t) |
t |
x |
y |
| Outputs |
|---|
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(fma.f64 (/.f64 x y) (-.f64 z t) t) |
(/.f64 (-.f64 z t) y) |
(-.f64 z t) |
z |
t |
y |
x |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
#s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) |
#s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(/.f64 (neg.f64 t) y) |
(neg.f64 t) |
t |
y |
x |
(+.f64 (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) t) |
(+.f64 (/.f64 #s(approx (* (- z t) x) (*.f64 x z)) y) t) |
(/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) |
(/.f64 #s(approx (* (- z t) x) (*.f64 x z)) y) |
#s(approx (* (- z t) x) (*.f64 z x)) |
#s(approx (* (- z t) x) (*.f64 x z)) |
(*.f64 z x) |
(*.f64 x z) |
z |
x |
y |
t |
(+.f64 (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) t) |
(fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) t) |
(/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) |
(*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y)) |
(*.f64 #s(approx (- z t) (neg.f64 t)) x) |
#s(approx (- z t) (neg.f64 t)) |
(neg.f64 t) |
t |
x |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (+.f64 (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) t) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (- z t) (neg.f64 t)) x) | |
| accuracy | 5.82058075717704 | (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) | |
| accuracy | 31.399936458171897 | #s(approx (- z t) (neg.f64 t)) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 0.00390625 | (+.f64 (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) t) | |
| accuracy | 5.82058075717704 | (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) | |
| accuracy | 29.29935839022578 | #s(approx (* (- z t) x) (*.f64 z x)) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 4.460886542218826 | (*.f64 (/.f64 (neg.f64 t) y) x) | |
| accuracy | 22.949524252526178 | #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) | |
| accuracy | 27.36372038818021 | #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 5.037986739034221 | (*.f64 (/.f64 x y) z) | |
| accuracy | 37.63565581576171 | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) | |
| accuracy | 0 | (/.f64 (-.f64 z t) y) | |
| accuracy | 0 | (-.f64 z t) | |
| accuracy | 4.504089246505829 | (fma.f64 (/.f64 (-.f64 z t) y) x t) |
| 43.0ms | 256× | 0 | valid |
Compiled 131 to 21 computations (84% saved)
ival-div: 12.0ms (42.9% of total)ival-mult: 10.0ms (35.8% of total)ival-add: 3.0ms (10.7% of total)ival-sub: 2.0ms (7.2% of total)ival-neg: 1.0ms (3.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 (-.f64 z t) y) x t) (patch (fma.f64 (/.f64 (-.f64 z t) y) x t) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 z t) y) (patch (/.f64 (-.f64 z t) y) #<representation binary64>) () ()) |
#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) (patch #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x)) (patch #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (neg.f64 t) y) x) (patch (*.f64 (/.f64 (neg.f64 t) y) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 t) y) (patch (/.f64 (neg.f64 t) y) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) t) (patch (+.f64 (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) t) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) (patch (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- z t) x) (*.f64 z x)) (patch #s(approx (* (- z t) x) (*.f64 z x)) #<representation binary64>) () ()) |
#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ()) |
#s(alt (+.f64 (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) t) (patch (+.f64 (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) t) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) (patch (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- z t) (neg.f64 t)) x) (patch (*.f64 #s(approx (- z t) (neg.f64 t)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- z t) (neg.f64 t)) (patch #s(approx (- z t) (neg.f64 t)) #<representation binary64>) () ()) |
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x z) y) (taylor 0 t) (#s(alt (fma.f64 (/.f64 (-.f64 z t) y) x t) (patch (fma.f64 (/.f64 (-.f64 z t) y) x t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 (-.f64 z t) y) x t) (patch (fma.f64 (/.f64 (-.f64 z t) y) x t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 (-.f64 z t) y) x t) (patch (fma.f64 (/.f64 (-.f64 z t) y) x t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 (-.f64 z t) y) x t) (patch (fma.f64 (/.f64 (-.f64 z t) y) x t) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 t) (#s(alt (/.f64 (-.f64 z t) y) (patch (/.f64 (-.f64 z t) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ t y)) (/ z y)) (taylor 0 t) (#s(alt (/.f64 (-.f64 z t) y) (patch (/.f64 (-.f64 z t) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ t y)) (/ z y)) (taylor 0 t) (#s(alt (/.f64 (-.f64 z t) y) (patch (/.f64 (-.f64 z t) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ t y)) (/ z y)) (taylor 0 t) (#s(alt (/.f64 (-.f64 z t) y) (patch (/.f64 (-.f64 z t) y) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 t)) (taylor 0 t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 t)) (taylor 0 t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 t)) (taylor 0 t) (#s(alt (-.f64 z t) (patch (-.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 z t) y) x t) (patch (fma.f64 (/.f64 (-.f64 z t) y) x t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 x y) z) (patch (*.f64 (/.f64 x y) z) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) (patch #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) (patch #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) (patch #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) (patch #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x)) (patch #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x)) (patch #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x)) (patch #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x)) (patch #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (/ (* t x) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 t) y) x) (patch (*.f64 (/.f64 (neg.f64 t) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t x) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 t) y) x) (patch (*.f64 (/.f64 (neg.f64 t) y) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t x) y)) (taylor -inf x) (#s(alt (*.f64 (/.f64 (neg.f64 t) y) x) (patch (*.f64 (/.f64 (neg.f64 t) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (+.f64 (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) t) (patch (+.f64 (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) t) (patch (+.f64 (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) t) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt (+.f64 (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) t) (patch (+.f64 (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) (patch (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) (patch (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) (patch (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) (patch (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- z t)) (taylor -inf x) (#s(alt #s(approx (* (- z t) x) (*.f64 z x)) (patch #s(approx (* (- z t) x) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- z t)) (taylor -inf x) (#s(alt #s(approx (* (- z t) x) (*.f64 z x)) (patch #s(approx (* (- z t) x) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- z t)) (taylor -inf x) (#s(alt #s(approx (* (- z t) x) (*.f64 z x)) (patch #s(approx (* (- z t) x) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (- z t)) (taylor -inf x) (#s(alt #s(approx (* (- z t) x) (*.f64 z x)) (patch #s(approx (* (- z t) x) (*.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 z x) (patch (*.f64 z x) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) (patch (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) (patch (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) (patch (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) (patch (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- z t)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- z t) (neg.f64 t)) x) (patch (*.f64 #s(approx (- z t) (neg.f64 t)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- z t)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- z t) (neg.f64 t)) x) (patch (*.f64 #s(approx (- z t) (neg.f64 t)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- z t)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- z t) (neg.f64 t)) x) (patch (*.f64 #s(approx (- z t) (neg.f64 t)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- z t)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- z t) (neg.f64 t)) x) (patch (*.f64 #s(approx (- z t) (neg.f64 t)) x) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 24.0ms | y | @ | -inf | ((+ (* (/ (- z t) y) x) t) (/ (- z t) y) (- z t) (+ (* (/ x y) (- z t)) t) (* (/ x y) z) (/ x y) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (/ (neg t) y) x) (/ (neg t) y) (+ (/ (* (- z t) x) y) t) (/ (* (- z t) x) y) (* (- z t) x) (* z x) (+ (/ (* (- z t) x) y) t) (/ (* (- z t) x) y) (* (- z t) x) (- z t) (neg t)) |
| 4.0ms | t | @ | inf | ((+ (* (/ (- z t) y) x) t) (/ (- z t) y) (- z t) (+ (* (/ x y) (- z t)) t) (* (/ x y) z) (/ x y) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (/ (neg t) y) x) (/ (neg t) y) (+ (/ (* (- z t) x) y) t) (/ (* (- z t) x) y) (* (- z t) x) (* z x) (+ (/ (* (- z t) x) y) t) (/ (* (- z t) x) y) (* (- z t) x) (- z t) (neg t)) |
| 2.0ms | y | @ | 0 | ((+ (* (/ (- z t) y) x) t) (/ (- z t) y) (- z t) (+ (* (/ x y) (- z t)) t) (* (/ x y) z) (/ x y) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (/ (neg t) y) x) (/ (neg t) y) (+ (/ (* (- z t) x) y) t) (/ (* (- z t) x) y) (* (- z t) x) (* z x) (+ (/ (* (- z t) x) y) t) (/ (* (- z t) x) y) (* (- z t) x) (- z t) (neg t)) |
| 2.0ms | x | @ | -inf | ((+ (* (/ (- z t) y) x) t) (/ (- z t) y) (- z t) (+ (* (/ x y) (- z t)) t) (* (/ x y) z) (/ x y) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (/ (neg t) y) x) (/ (neg t) y) (+ (/ (* (- z t) x) y) t) (/ (* (- z t) x) y) (* (- z t) x) (* z x) (+ (/ (* (- z t) x) y) t) (/ (* (- z t) x) y) (* (- z t) x) (- z t) (neg t)) |
| 2.0ms | t | @ | 0 | ((+ (* (/ (- z t) y) x) t) (/ (- z t) y) (- z t) (+ (* (/ x y) (- z t)) t) (* (/ x y) z) (/ x y) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (/ (neg t) y) x) (/ (neg t) y) (+ (/ (* (- z t) x) y) t) (/ (* (- z t) x) y) (* (- z t) x) (* z x) (+ (/ (* (- z t) x) y) t) (/ (* (- z t) x) y) (* (- z t) x) (- z t) (neg t)) |
| 1× | egg-herbie |
| 9 648× | lower-fma.f64 |
| 9 648× | lower-fma.f32 |
| 3 010× | lower-*.f64 |
| 3 010× | lower-*.f32 |
| 996× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 122 | 5955 |
| 1 | 398 | 5454 |
| 2 | 1277 | 4230 |
| 3 | 3844 | 4230 |
| 4 | 7110 | 4230 |
| 0 | 8090 | 4050 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x z) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(/ z y) |
(+ (* -1 (/ t y)) (/ z y)) |
(+ (* -1 (/ t y)) (/ z y)) |
(+ (* -1 (/ t y)) (/ z y)) |
z |
(+ z (* -1 t)) |
(+ z (* -1 t)) |
(+ z (* -1 t)) |
(/ (* x z) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(/ (* x z) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(/ (* x z) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(/ (* x z) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(/ (* x z) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(* x z) |
(+ (* -1 (* t x)) (* x z)) |
(+ (* -1 (* t x)) (* x z)) |
(+ (* -1 (* t x)) (* x z)) |
(/ (* x z) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(/ (* x z) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(* x z) |
(+ (* -1 (* t x)) (* x z)) |
(+ (* -1 (* t x)) (* x z)) |
(+ (* -1 (* t x)) (* x z)) |
z |
(+ z (* -1 t)) |
(+ z (* -1 t)) |
(+ z (* -1 t)) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* t (+ 1 (* -1 (/ x y)))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* -1 (/ t y)) |
(* t (- (/ z (* t y)) (/ 1 y))) |
(* t (- (/ z (* t y)) (/ 1 y))) |
(* t (- (/ z (* t y)) (/ 1 y))) |
(* -1 t) |
(* t (- (/ z t) 1)) |
(* t (- (/ z t) 1)) |
(* t (- (/ z t) 1)) |
(* t (+ 1 (* -1 (/ x y)))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (* -1 (/ x y)))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* -1 (/ (* t x) y)) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* -1 (/ t y)) |
(* t (+ 1 (* -1 (/ x y)))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* -1 (/ (* t x) y)) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(* -1 (* t x)) |
(* t (+ (* -1 x) (/ (* x z) t))) |
(* t (+ (* -1 x) (/ (* x z) t))) |
(* t (+ (* -1 x) (/ (* x z) t))) |
(* t (+ 1 (* -1 (/ x y)))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* -1 (/ (* t x) y)) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(* -1 (* t x)) |
(* t (+ (* -1 x) (/ (* x z) t))) |
(* t (+ (* -1 x) (/ (* x z) t))) |
(* t (+ (* -1 x) (/ (* x z) t))) |
(* -1 t) |
(* t (- (/ z t) 1)) |
(* t (- (/ z t) 1)) |
(* t (- (/ z t) 1)) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 (* t (- (/ x y) 1))) |
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(* x z) |
(* x z) |
(/ (* x (- z t)) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(* x (- z t)) |
(* x (- z t)) |
(* x (- z t)) |
(* x (- z t)) |
| Outputs |
|---|
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ z y) |
(/.f64 z y) |
(+ (* -1 (/ t y)) (/ z y)) |
(/.f64 (-.f64 z t) y) |
(+ (* -1 (/ t y)) (/ z y)) |
(/.f64 (-.f64 z t) y) |
(+ (* -1 (/ t y)) (/ z y)) |
(/.f64 (-.f64 z t) y) |
z |
(+ z (* -1 t)) |
(-.f64 z t) |
(+ z (* -1 t)) |
(-.f64 z t) |
(+ z (* -1 t)) |
(-.f64 z t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ t y)) |
(/.f64 (neg.f64 t) y) |
(* -1 (/ t y)) |
(/.f64 (neg.f64 t) y) |
(* -1 (/ t y)) |
(/.f64 (neg.f64 t) y) |
(* -1 (/ t y)) |
(/.f64 (neg.f64 t) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x z) |
(*.f64 z x) |
(+ (* -1 (* t x)) (* x z)) |
(*.f64 (-.f64 z t) x) |
(+ (* -1 (* t x)) (* x z)) |
(*.f64 (-.f64 z t) x) |
(+ (* -1 (* t x)) (* x z)) |
(*.f64 (-.f64 z t) x) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x z) |
(*.f64 z x) |
(+ (* -1 (* t x)) (* x z)) |
(*.f64 (-.f64 z t) x) |
(+ (* -1 (* t x)) (* x z)) |
(*.f64 (-.f64 z t) x) |
(+ (* -1 (* t x)) (* x z)) |
(*.f64 (-.f64 z t) x) |
z |
(+ z (* -1 t)) |
(-.f64 z t) |
(+ z (* -1 t)) |
(-.f64 z t) |
(+ z (* -1 t)) |
(-.f64 z t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* t (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (/ t y)) |
(/.f64 (neg.f64 t) y) |
(* t (- (/ z (* t y)) (/ 1 y))) |
(/.f64 (-.f64 z t) y) |
(* t (- (/ z (* t y)) (/ 1 y))) |
(/.f64 (-.f64 z t) y) |
(* t (- (/ z (* t y)) (/ 1 y))) |
(/.f64 (-.f64 z t) y) |
(* -1 t) |
(neg.f64 t) |
(* t (- (/ z t) 1)) |
(-.f64 z t) |
(* t (- (/ z t) 1)) |
(-.f64 z t) |
(* t (- (/ z t) 1)) |
(-.f64 z t) |
(* t (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ t y)) |
(/.f64 (neg.f64 t) y) |
(* -1 (/ t y)) |
(/.f64 (neg.f64 t) y) |
(* -1 (/ t y)) |
(/.f64 (neg.f64 t) y) |
(* -1 (/ t y)) |
(/.f64 (neg.f64 t) y) |
(* t (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* t x)) |
(*.f64 (neg.f64 t) x) |
(* t (+ (* -1 x) (/ (* x z) t))) |
(*.f64 (-.f64 z t) x) |
(* t (+ (* -1 x) (/ (* x z) t))) |
(*.f64 (-.f64 z t) x) |
(* t (+ (* -1 x) (/ (* x z) t))) |
(*.f64 (-.f64 z t) x) |
(* t (+ 1 (* -1 (/ x y)))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* t x)) |
(*.f64 (neg.f64 t) x) |
(* t (+ (* -1 x) (/ (* x z) t))) |
(*.f64 (-.f64 z t) x) |
(* t (+ (* -1 x) (/ (* x z) t))) |
(*.f64 (-.f64 z t) x) |
(* t (+ (* -1 x) (/ (* x z) t))) |
(*.f64 (-.f64 z t) x) |
(* -1 t) |
(neg.f64 t) |
(* t (- (/ z t) 1)) |
(-.f64 z t) |
(* t (- (/ z t) 1)) |
(-.f64 z t) |
(* t (- (/ z t) 1)) |
(-.f64 z t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 (* t (- (/ x y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (/ t y)) |
(/.f64 (neg.f64 t) y) |
(* -1 (* t (+ (* -1 (/ z (* t y))) (/ 1 y)))) |
(/.f64 (-.f64 z t) y) |
(* -1 (* t (+ (* -1 (/ z (* t y))) (/ 1 y)))) |
(/.f64 (-.f64 z t) y) |
(* -1 (* t (+ (* -1 (/ z (* t y))) (/ 1 y)))) |
(/.f64 (-.f64 z t) y) |
(* -1 t) |
(neg.f64 t) |
(* -1 (* t (+ 1 (* -1 (/ z t))))) |
(-.f64 z t) |
(* -1 (* t (+ 1 (* -1 (/ z t))))) |
(-.f64 z t) |
(* -1 (* t (+ 1 (* -1 (/ z t))))) |
(-.f64 z t) |
(* -1 (* t (- (/ x y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* t (- (/ x y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ t y)) |
(/.f64 (neg.f64 t) y) |
(* -1 (/ t y)) |
(/.f64 (neg.f64 t) y) |
(* -1 (/ t y)) |
(/.f64 (neg.f64 t) y) |
(* -1 (/ t y)) |
(/.f64 (neg.f64 t) y) |
(* -1 (* t (- (/ x y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* t x)) |
(*.f64 (neg.f64 t) x) |
(* -1 (* t (+ x (* -1 (/ (* x z) t))))) |
(*.f64 (-.f64 z t) x) |
(* -1 (* t (+ x (* -1 (/ (* x z) t))))) |
(*.f64 (-.f64 z t) x) |
(* -1 (* t (+ x (* -1 (/ (* x z) t))))) |
(*.f64 (-.f64 z t) x) |
(* -1 (* t (- (/ x y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* t x)) |
(*.f64 (neg.f64 t) x) |
(* -1 (* t (+ x (* -1 (/ (* x z) t))))) |
(*.f64 (-.f64 z t) x) |
(* -1 (* t (+ x (* -1 (/ (* x z) t))))) |
(*.f64 (-.f64 z t) x) |
(* -1 (* t (+ x (* -1 (/ (* x z) t))))) |
(*.f64 (-.f64 z t) x) |
(* -1 t) |
(neg.f64 t) |
(* -1 (* t (+ 1 (* -1 (/ z t))))) |
(-.f64 z t) |
(* -1 (* t (+ 1 (* -1 (/ z t))))) |
(-.f64 z t) |
(* -1 (* t (+ 1 (* -1 (/ z t))))) |
(-.f64 z t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(+ t (* -1 (/ (* t x) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (/ t y)) |
(/.f64 (neg.f64 t) y) |
(+ (* -1 (/ t y)) (/ z y)) |
(/.f64 (-.f64 z t) y) |
(+ (* -1 (/ t y)) (/ z y)) |
(/.f64 (-.f64 z t) y) |
(+ (* -1 (/ t y)) (/ z y)) |
(/.f64 (-.f64 z t) y) |
(* -1 t) |
(neg.f64 t) |
(- z t) |
(-.f64 z t) |
(- z t) |
(-.f64 z t) |
(- z t) |
(-.f64 z t) |
(+ t (* -1 (/ (* t x) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(+ t (* -1 (/ (* t x) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(+ t (* -1 (/ (* t x) y))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t) |
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(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
t |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
t |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (- z t) y) |
(/.f64 (-.f64 z t) y) |
(/ (- z t) y) |
(/.f64 (-.f64 z t) y) |
(/ (- z t) y) |
(/.f64 (-.f64 z t) y) |
(/ (- z t) y) |
(/.f64 (-.f64 z t) y) |
t |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
t |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ t y)) |
(/.f64 (neg.f64 t) y) |
(* -1 (/ t y)) |
(/.f64 (neg.f64 t) y) |
(* -1 (/ t y)) |
(/.f64 (neg.f64 t) y) |
(* -1 (/ t y)) |
(/.f64 (neg.f64 t) y) |
t |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
t |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (/ (* x (- z t)) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
t |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
t |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
t |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
t |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
t |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ t (* x (- (/ z y) (/ t y)))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- (/ z y) (/ t y))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* x (- (/ z y) (/ t y))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(* x (- (/ z y) (/ t y))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* x (- (/ z y) (/ t y))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x (- (/ z y) (/ t y))) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(* -1 (/ (* t x) y)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(* x z) |
(*.f64 z x) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
| 5 722× | lower-fma.f32 |
| 5 720× | lower-fma.f64 |
| 4 574× | lower-*.f32 |
| 4 566× | lower-*.f64 |
| 4 428× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 161 |
| 0 | 44 | 159 |
| 1 | 160 | 159 |
| 2 | 1086 | 159 |
| 0 | 8617 | 158 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/.f64 (-.f64 z t) y) |
(-.f64 z t) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 x y) z) |
(/.f64 x y) |
#s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) |
#s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x)) |
(*.f64 (/.f64 (neg.f64 t) y) x) |
(/.f64 (neg.f64 t) y) |
(+.f64 (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) t) |
(/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) |
#s(approx (* (- z t) x) (*.f64 z x)) |
(*.f64 z x) |
(+.f64 (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) t) |
(/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) |
(*.f64 #s(approx (- z t) (neg.f64 t)) x) |
#s(approx (- z t) (neg.f64 t)) |
(neg.f64 t) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 t t) (pow.f64 (/.f64 (*.f64 (-.f64 z t) x) y) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 t (/.f64 (*.f64 (-.f64 z t) x) y)))) |
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(*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -3 binary64)) (pow.f64 t #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (/.f64 (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t)) (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))))))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -3 binary64)) (pow.f64 t #s(literal 3 binary64))) (pow.f64 (fma.f64 t (-.f64 t (*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y))) (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) t)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (*.f64 (/.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -2 binary64)) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t))) (/.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -2 binary64)) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t)))) (*.f64 (/.f64 (*.f64 t t) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t))) (/.f64 (*.f64 t t) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t))))) (+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -2 binary64)) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t))) (/.f64 (*.f64 t t) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -2 binary64)) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 t t) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -2 binary64)) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t))) (/.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -2 binary64)) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t))) (fma.f64 (/.f64 (*.f64 t t) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t))) (/.f64 (*.f64 t t) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t))) (*.f64 (/.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -2 binary64)) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t))) (/.f64 (*.f64 t t) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 t t) (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -2 binary64)))) (neg.f64 (-.f64 t (*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -2 binary64)) (*.f64 t t)))) (neg.f64 (neg.f64 (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 t (-.f64 t (*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y))) (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -2 binary64)) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t))) (*.f64 (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t)) (*.f64 t t))) (*.f64 (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t)) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t)))) |
(/.f64 (-.f64 (*.f64 t t) (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -2 binary64))) (-.f64 t (*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -2 binary64)) (*.f64 t t))) (neg.f64 (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t t (/.f64 (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t)) (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (fma.f64 t (-.f64 t (*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y))) (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -2 binary64)) (*.f64 t t)) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 t (*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y))) (-.f64 (*.f64 t t) (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) t)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t (/.f64 (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t)) (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))))) (+.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -3 binary64)) (pow.f64 t #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) t))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t t (/.f64 (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t)) (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -3 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 t (-.f64 t (*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y))) (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -2 binary64)))) |
(fma.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -1/2 binary64)) t) |
(fma.f64 (/.f64 (neg.f64 #s(approx (- z t) (neg.f64 t))) #s(literal -1 binary64)) (/.f64 x y) t) |
(fma.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(approx (- z t) (neg.f64 t)) y) t) |
(fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y) t) |
(fma.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (- z t) (neg.f64 t))) y) t) |
(fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64))) t) |
(fma.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))))) t) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 x) #s(approx (- z t) (neg.f64 t))) y) t) |
(fma.f64 #s(literal -1 binary64) (neg.f64 t) (*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y))) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) #s(literal -1 binary64)) #s(literal -1 binary64)) t) |
(fma.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(approx (- z t) (neg.f64 t)) x) t) |
(fma.f64 #s(literal 1 binary64) (*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y)) t) |
(fma.f64 #s(literal 1 binary64) t (*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y))) |
(fma.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -2 binary64)) (pow.f64 (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t)) #s(literal -1 binary64)) (neg.f64 (/.f64 (*.f64 t t) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t))))) |
(fma.f64 (*.f64 (neg.f64 x) #s(approx (- z t) (neg.f64 t))) (/.f64 #s(literal -1 binary64) y) t) |
(fma.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y)) #s(literal 1 binary64) t) |
(fma.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) (pow.f64 y #s(literal -1 binary64)) t) |
(fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) t) |
(fma.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)) t) |
(fma.f64 x (/.f64 #s(approx (- z t) (neg.f64 t)) y) t) |
(-.f64 (/.f64 (*.f64 t t) (-.f64 t (*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y)))) (/.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -2 binary64)) (-.f64 t (*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y))))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -2 binary64)) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t))) (/.f64 (*.f64 t t) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t)))) |
(-.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y)) (neg.f64 t)) |
(-.f64 t (/.f64 (*.f64 (neg.f64 x) #s(approx (- z t) (neg.f64 t))) y)) |
(+.f64 (/.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -2 binary64)) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t))) (neg.f64 (/.f64 (*.f64 t t) (fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) (neg.f64 t))))) |
(+.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y)) t) |
(+.f64 t (*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y))) |
(*.f64 (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -1/2 binary64))) |
(*.f64 (/.f64 (neg.f64 #s(approx (- z t) (neg.f64 t))) #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(approx (- z t) (neg.f64 t)) y)) |
(*.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (- z t) (neg.f64 t))) y)) |
(*.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) (/.f64 #s(literal 1 binary64) (pow.f64 x #s(literal -1 binary64)))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t)))))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 x) #s(approx (- z t) (neg.f64 t))) y)) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (*.f64 #s(approx (- z t) (neg.f64 t)) x)) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y))) |
(*.f64 (*.f64 (neg.f64 x) #s(approx (- z t) (neg.f64 t))) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y)) #s(literal 1 binary64)) |
(*.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y)) |
(*.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t))) |
(*.f64 x (/.f64 #s(approx (- z t) (neg.f64 t)) y)) |
(pow.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 #s(approx (- z t) (neg.f64 t))) (neg.f64 (/.f64 y x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t)))) |
(/.f64 (*.f64 (neg.f64 x) #s(approx (- z t) (neg.f64 t))) (neg.f64 y)) |
(/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) |
(/.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 y x)) |
(neg.f64 (/.f64 (*.f64 (neg.f64 x) #s(approx (- z t) (neg.f64 t))) y)) |
(-.f64 #s(literal 0 binary64) (/.f64 (*.f64 (neg.f64 x) #s(approx (- z t) (neg.f64 t))) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 y x) #s(approx (- z t) (neg.f64 t)))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 x) #s(approx (- z t) (neg.f64 t)))) |
(*.f64 #s(literal 1 binary64) (*.f64 #s(approx (- z t) (neg.f64 t)) x)) |
(*.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) #s(literal 1 binary64)) |
(*.f64 #s(approx (- z t) (neg.f64 t)) x) |
(*.f64 x #s(approx (- z t) (neg.f64 t))) |
(neg.f64 (*.f64 (neg.f64 x) #s(approx (- z t) (neg.f64 t)))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) #s(approx (- z t) (neg.f64 t)))) |
(*.f64 #s(approx (- z t) (neg.f64 t)) #s(literal 1 binary64)) |
#s(approx (- z t) (neg.f64 t)) |
(*.f64 (neg.f64 (*.f64 t t)) (/.f64 #s(literal 1 binary64) t)) |
(*.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64)) (/.f64 #s(literal 1 binary64) (fma.f64 t t #s(literal 0 binary64)))) |
(*.f64 #s(literal -1 binary64) t) |
(*.f64 (neg.f64 t) #s(literal 1 binary64)) |
(*.f64 t #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 t t))) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 t t)) t) |
(/.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 t t) (*.f64 #s(literal 0 binary64) (neg.f64 t))))) |
(/.f64 (pow.f64 (neg.f64 t) #s(literal 3 binary64)) (fma.f64 t t #s(literal 0 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 t (neg.f64 (*.f64 t t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t #s(literal 0 binary64)) (pow.f64 (neg.f64 t) #s(literal 3 binary64)))) |
(/.f64 (pow.f64 t #s(literal 3 binary64)) (neg.f64 (fma.f64 t t #s(literal 0 binary64)))) |
(neg.f64 t) |
(-.f64 (/.f64 #s(literal 0 binary64) t) (/.f64 (*.f64 t t) t)) |
(-.f64 (/.f64 #s(literal 0 binary64) (fma.f64 t t #s(literal 0 binary64))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (fma.f64 t t #s(literal 0 binary64)))) |
(-.f64 #s(literal 0 binary64) t) |
(+.f64 #s(literal 0 binary64) (neg.f64 t)) |
Compiled 15 306 to 1 657 computations (89.2% saved)
14 alts after pruning (8 fresh and 6 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 195 | 3 | 1 198 |
| Fresh | 0 | 5 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 197 | 14 | 1 211 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 63.4% | (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) |
| ▶ | 62.4% | (fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) |
| ✓ | 97.9% | (fma.f64 (/.f64 x y) (-.f64 z t) t) |
| 66.3% | (fma.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)) t) | |
| ▶ | 73.2% | (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) |
| ✓ | 61.4% | (+.f64 (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) t) |
| ✓ | 58.6% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) |
| ▶ | 28.5% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) |
| ✓ | 38.2% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) |
| 41.2% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.f64 y x))) | |
| ▶ | 38.5% | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) |
| ✓ | 41.2% | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) |
| ✓ | 29.2% | #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) |
| 31.1% | #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y)))) |
Compiled 179 to 179 computations (0% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z z) | |
| cost-diff | 0 | (neg.f64 t) | |
| cost-diff | 0 | (fma.f64 (neg.f64 t) t (*.f64 z z)) | |
| cost-diff | 1152 | (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) | |
| cost-diff | 0 | (neg.f64 t) | |
| cost-diff | 0 | #s(approx (- z t) (neg.f64 t)) | |
| cost-diff | 0 | (/.f64 #s(approx (- z t) (neg.f64 t)) y) | |
| cost-diff | 0 | (fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) | |
| cost-diff | 0 | #s(approx (- z t) (neg.f64 t)) | |
| cost-diff | 0 | (*.f64 #s(approx (- z t) (neg.f64 t)) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) | |
| cost-diff | 0 | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | (*.f64 (/.f64 z y) x) | |
| cost-diff | 0 | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) | |
| cost-diff | 0 | (/.f64 z y) | |
| cost-diff | 0 | #s(approx (/ (- z t) y) (/.f64 z y)) | |
| cost-diff | 0 | (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) |
| 11 164× | lower-fma.f32 |
| 11 156× | lower-fma.f64 |
| 3 614× | lower-*.f32 |
| 3 606× | lower-*.f64 |
| 2 386× | lower-+.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 180 |
| 0 | 45 | 180 |
| 1 | 78 | 180 |
| 2 | 138 | 180 |
| 3 | 310 | 180 |
| 4 | 693 | 175 |
| 5 | 1656 | 173 |
| 6 | 4025 | 173 |
| 7 | 7380 | 173 |
| 0 | 8195 | 170 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) |
#s(approx (/ (- z t) y) (/.f64 z y)) |
(/.f64 z y) |
z |
y |
x |
t |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) |
(*.f64 (/.f64 z y) x) |
(/.f64 z y) |
z |
y |
x |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) |
(/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) |
(*.f64 #s(approx (- z t) (neg.f64 t)) x) |
#s(approx (- z t) (neg.f64 t)) |
(neg.f64 t) |
t |
x |
y |
(fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) |
(/.f64 #s(approx (- z t) (neg.f64 t)) y) |
#s(approx (- z t) (neg.f64 t)) |
(neg.f64 t) |
t |
y |
x |
(fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) |
(fma.f64 (neg.f64 t) t (*.f64 z z)) |
(neg.f64 t) |
t |
(*.f64 z z) |
z |
(/.f64 x (*.f64 (+.f64 t z) y)) |
x |
(*.f64 (+.f64 t z) y) |
(+.f64 t z) |
y |
| Outputs |
|---|
(fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) |
(fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) t) |
#s(approx (/ (- z t) y) (/.f64 z y)) |
(/.f64 z y) |
z |
y |
x |
t |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 z y) x) |
(*.f64 (/.f64 x y) z) |
(/.f64 z y) |
z |
y |
x |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y))) |
(/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) |
(*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y)) |
(*.f64 #s(approx (- z t) (neg.f64 t)) x) |
#s(approx (- z t) (neg.f64 t)) |
(neg.f64 t) |
t |
x |
y |
(fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) |
(fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) t) |
(/.f64 #s(approx (- z t) (neg.f64 t)) y) |
#s(approx (- z t) (neg.f64 t)) |
(neg.f64 t) |
t |
y |
x |
(fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) |
(fma.f64 (/.f64 x y) (-.f64 z t) t) |
(fma.f64 (neg.f64 t) t (*.f64 z z)) |
(neg.f64 t) |
t |
(*.f64 z z) |
z |
(/.f64 x (*.f64 (+.f64 t z) y)) |
x |
(*.f64 (+.f64 t z) y) |
(+.f64 t z) |
y |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (*.f64 (+.f64 t z) y) | |
| accuracy | 1.999977980844482 | (fma.f64 (neg.f64 t) t (*.f64 z z)) | |
| accuracy | 3.9086494138969012 | (/.f64 x (*.f64 (+.f64 t z) y)) | |
| accuracy | 19.55843944512107 | (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) | |
| accuracy | 0 | (/.f64 #s(approx (- z t) (neg.f64 t)) y) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 4.504089246505829 | (fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) | |
| accuracy | 31.399936458171897 | #s(approx (- z t) (neg.f64 t)) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (- z t) (neg.f64 t)) x) | |
| accuracy | 5.82058075717704 | (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) | |
| accuracy | 22.949524252526178 | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) | |
| accuracy | 31.399936458171897 | #s(approx (- z t) (neg.f64 t)) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 4.339532311165105 | (*.f64 (/.f64 z y) x) | |
| accuracy | 37.63565581576171 | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 4.504089246505829 | (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) | |
| accuracy | 28.81506199310577 | #s(approx (/ (- z t) y) (/.f64 z y)) |
| 53.0ms | 256× | 0 | valid |
Compiled 144 to 26 computations (81.9% saved)
ival-mult: 19.0ms (52.2% of total)ival-div: 8.0ms (22% of total)ival-add: 6.0ms (16.5% of total)ival-sub: 2.0ms (5.5% of total)ival-neg: 1.0ms (2.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) (patch (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- z t) y) (/.f64 z y)) (patch #s(approx (/ (- z t) y) (/.f64 z y)) #<representation binary64>) () ()) |
#s(alt (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 z y) x) (patch (*.f64 (/.f64 z y) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) (patch (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (- z t) (neg.f64 t)) x) (patch (*.f64 #s(approx (- z t) (neg.f64 t)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- z t) (neg.f64 t)) (patch #s(approx (- z t) (neg.f64 t)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) (patch (fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- z t) (neg.f64 t)) y) (patch (/.f64 #s(approx (- z t) (neg.f64 t)) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) (patch (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 t) t (*.f64 z z)) (patch (fma.f64 (neg.f64 t) t (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 (+.f64 t z) y)) (patch (/.f64 x (*.f64 (+.f64 t z) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 t z) y) (patch (*.f64 (+.f64 t z) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x z) y) (taylor 0 t) (#s(alt (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) (patch (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) (patch (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) (patch (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) (patch (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 t) (#s(alt #s(approx (/ (- z t) y) (/.f64 z y)) (patch #s(approx (/ (- z t) y) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ t y)) (/ z y)) (taylor 0 t) (#s(alt #s(approx (/ (- z t) y) (/.f64 z y)) (patch #s(approx (/ (- z t) y) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ t y)) (/ z y)) (taylor 0 t) (#s(alt #s(approx (/ (- z t) y) (/.f64 z y)) (patch #s(approx (/ (- z t) y) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ t y)) (/ z y)) (taylor 0 t) (#s(alt #s(approx (/ (- z t) y) (/.f64 z y)) (patch #s(approx (/ (- z t) y) (/.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) (patch (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) y)) (/ (* x z) y)) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) (patch (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) y)) (/ (* x z) y)) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) (patch (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) y)) (/ (* x z) y)) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) (patch (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor 0 t) (#s(alt (*.f64 #s(approx (- z t) (neg.f64 t)) x) (patch (*.f64 #s(approx (- z t) (neg.f64 t)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t x)) (* x z)) (taylor 0 t) (#s(alt (*.f64 #s(approx (- z t) (neg.f64 t)) x) (patch (*.f64 #s(approx (- z t) (neg.f64 t)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t x)) (* x z)) (taylor 0 t) (#s(alt (*.f64 #s(approx (- z t) (neg.f64 t)) x) (patch (*.f64 #s(approx (- z t) (neg.f64 t)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t x)) (* x z)) (taylor 0 t) (#s(alt (*.f64 #s(approx (- z t) (neg.f64 t)) x) (patch (*.f64 #s(approx (- z t) (neg.f64 t)) x) #<representation binary64>) () ())) ()) |
#s(alt z (taylor 0 t) (#s(alt #s(approx (- z t) (neg.f64 t)) (patch #s(approx (- z t) (neg.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 t)) (taylor 0 t) (#s(alt #s(approx (- z t) (neg.f64 t)) (patch #s(approx (- z t) (neg.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 t)) (taylor 0 t) (#s(alt #s(approx (- z t) (neg.f64 t)) (patch #s(approx (- z t) (neg.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (+ z (* -1 t)) (taylor 0 t) (#s(alt #s(approx (- z t) (neg.f64 t)) (patch #s(approx (- z t) (neg.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) (patch (fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) (patch (fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) (patch (fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) (patch (fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) #<representation binary64>) () ())) ()) |
#s(alt (/ z y) (taylor 0 t) (#s(alt (/.f64 #s(approx (- z t) (neg.f64 t)) y) (patch (/.f64 #s(approx (- z t) (neg.f64 t)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ t y)) (/ z y)) (taylor 0 t) (#s(alt (/.f64 #s(approx (- z t) (neg.f64 t)) y) (patch (/.f64 #s(approx (- z t) (neg.f64 t)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ t y)) (/ z y)) (taylor 0 t) (#s(alt (/.f64 #s(approx (- z t) (neg.f64 t)) y) (patch (/.f64 #s(approx (- z t) (neg.f64 t)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ t y)) (/ z y)) (taylor 0 t) (#s(alt (/.f64 #s(approx (- z t) (neg.f64 t)) y) (patch (/.f64 #s(approx (- z t) (neg.f64 t)) y) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 t) (#s(alt (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) (patch (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- 1 (/ x y))) (/ (* x z) y)) (taylor 0 t) (#s(alt (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) (patch (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- 1 (/ x y))) (/ (* x z) y)) (taylor 0 t) (#s(alt (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) (patch (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- 1 (/ x y))) (/ (* x z) y)) (taylor 0 t) (#s(alt (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) (patch (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ (* -1 (/ (pow t 2) (* y (+ t z)))) (+ (/ t x) (/ (pow z 2) (* y (+ t z)))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) (patch (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ (pow t 2) (* y (+ t z)))) (+ (/ t x) (/ (pow z 2) (* y (+ t z)))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) (patch (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ (pow t 2) (* y (+ t z)))) (+ (/ t x) (/ (pow z 2) (* y (+ t z)))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) (patch (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y (+ t z))) (taylor inf x) (#s(alt (/.f64 x (*.f64 (+.f64 t z) y)) (patch (/.f64 x (*.f64 (+.f64 t z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y (+ t z))) (taylor inf x) (#s(alt (/.f64 x (*.f64 (+.f64 t z) y)) (patch (/.f64 x (*.f64 (+.f64 t z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y (+ t z))) (taylor inf x) (#s(alt (/.f64 x (*.f64 (+.f64 t z) y)) (patch (/.f64 x (*.f64 (+.f64 t z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y (+ t z))) (taylor inf x) (#s(alt (/.f64 x (*.f64 (+.f64 t z) y)) (patch (/.f64 x (*.f64 (+.f64 t z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) (patch (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) (patch (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) (patch (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) (patch (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 z y) x) (patch (*.f64 (/.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 z y) x) (patch (*.f64 (/.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 z y) x) (patch (*.f64 (/.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 z y) x) (patch (*.f64 (/.f64 z y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) (patch (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) (patch (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) (patch (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) (patch (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) #<representation binary64>) () ())) ()) |
#s(alt (* x (- z t)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- z t) (neg.f64 t)) x) (patch (*.f64 #s(approx (- z t) (neg.f64 t)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- z t)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- z t) (neg.f64 t)) x) (patch (*.f64 #s(approx (- z t) (neg.f64 t)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- z t)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- z t) (neg.f64 t)) x) (patch (*.f64 #s(approx (- z t) (neg.f64 t)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- z t)) (taylor -inf x) (#s(alt (*.f64 #s(approx (- z t) (neg.f64 t)) x) (patch (*.f64 #s(approx (- z t) (neg.f64 t)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) (patch (fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) (patch (fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) (patch (fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) (patch (fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ (* -1 (pow t 2)) (pow z 2))) (* y (+ t z))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) (patch (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (+ (* -1 (pow t 2)) (pow z 2)) (* y (+ t z))))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) (patch (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (+ (* -1 (pow t 2)) (pow z 2)) (* y (+ t z))))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) (patch (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (+ (* -1 (pow t 2)) (pow z 2)) (* y (+ t z))))))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) (patch (fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y (+ t z))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (+.f64 t z) y)) (patch (/.f64 x (*.f64 (+.f64 t z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y (+ t z))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (+.f64 t z) y)) (patch (/.f64 x (*.f64 (+.f64 t z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y (+ t z))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (+.f64 t z) y)) (patch (/.f64 x (*.f64 (+.f64 t z) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* y (+ t z))) (taylor -inf x) (#s(alt (/.f64 x (*.f64 (+.f64 t z) y)) (patch (/.f64 x (*.f64 (+.f64 t z) y)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 73.0ms | x | @ | 0 | ((+ (* (/ (- z t) y) x) t) (/ (- z t) y) (/ z y) (+ (* (/ x y) (- z t)) t) (* (/ z y) x) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (- z t) x) (- z t) (+ (* (/ (- z t) y) x) t) (/ (- z t) y) (neg t) (+ (* (+ (* (neg t) t) (* z z)) (/ x (* (+ t z) y))) t) (+ (* (neg t) t) (* z z)) (* z z) (/ x (* (+ t z) y)) (* (+ t z) y)) |
| 23.0ms | t | @ | -inf | ((+ (* (/ (- z t) y) x) t) (/ (- z t) y) (/ z y) (+ (* (/ x y) (- z t)) t) (* (/ z y) x) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (- z t) x) (- z t) (+ (* (/ (- z t) y) x) t) (/ (- z t) y) (neg t) (+ (* (+ (* (neg t) t) (* z z)) (/ x (* (+ t z) y))) t) (+ (* (neg t) t) (* z z)) (* z z) (/ x (* (+ t z) y)) (* (+ t z) y)) |
| 8.0ms | x | @ | -inf | ((+ (* (/ (- z t) y) x) t) (/ (- z t) y) (/ z y) (+ (* (/ x y) (- z t)) t) (* (/ z y) x) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (- z t) x) (- z t) (+ (* (/ (- z t) y) x) t) (/ (- z t) y) (neg t) (+ (* (+ (* (neg t) t) (* z z)) (/ x (* (+ t z) y))) t) (+ (* (neg t) t) (* z z)) (* z z) (/ x (* (+ t z) y)) (* (+ t z) y)) |
| 3.0ms | y | @ | -inf | ((+ (* (/ (- z t) y) x) t) (/ (- z t) y) (/ z y) (+ (* (/ x y) (- z t)) t) (* (/ z y) x) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (- z t) x) (- z t) (+ (* (/ (- z t) y) x) t) (/ (- z t) y) (neg t) (+ (* (+ (* (neg t) t) (* z z)) (/ x (* (+ t z) y))) t) (+ (* (neg t) t) (* z z)) (* z z) (/ x (* (+ t z) y)) (* (+ t z) y)) |
| 3.0ms | x | @ | inf | ((+ (* (/ (- z t) y) x) t) (/ (- z t) y) (/ z y) (+ (* (/ x y) (- z t)) t) (* (/ z y) x) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (- z t) x) (- z t) (+ (* (/ (- z t) y) x) t) (/ (- z t) y) (neg t) (+ (* (+ (* (neg t) t) (* z z)) (/ x (* (+ t z) y))) t) (+ (* (neg t) t) (* z z)) (* z z) (/ x (* (+ t z) y)) (* (+ t z) y)) |
| 1× | egg-herbie |
| 9 446× | lower-fma.f64 |
| 9 446× | lower-fma.f32 |
| 4 712× | lower-*.f64 |
| 4 712× | lower-*.f32 |
| 3 572× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 300 | 5867 |
| 1 | 1010 | 5608 |
| 2 | 3269 | 4989 |
| 0 | 8200 | 4811 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* x z) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(/ z y) |
(+ (* -1 (/ t y)) (/ z y)) |
(+ (* -1 (/ t y)) (/ z y)) |
(+ (* -1 (/ t y)) (/ z y)) |
(/ (* x z) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(/ (* x z) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(/ (* x z) y) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(* x z) |
(+ (* -1 (* t x)) (* x z)) |
(+ (* -1 (* t x)) (* x z)) |
(+ (* -1 (* t x)) (* x z)) |
z |
(+ z (* -1 t)) |
(+ z (* -1 t)) |
(+ z (* -1 t)) |
(/ (* x z) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(/ z y) |
(+ (* -1 (/ t y)) (/ z y)) |
(+ (* -1 (/ t y)) (/ z y)) |
(+ (* -1 (/ t y)) (/ z y)) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(/ (* x z) y) |
(+ (* t (- 1 (/ x y))) (/ (* x z) y)) |
(+ (* t (- 1 (/ x y))) (/ (* x z) y)) |
(+ (* t (- 1 (/ x y))) (/ (* x z) y)) |
(pow z 2) |
(+ (* -1 (pow t 2)) (pow z 2)) |
(+ (* -1 (pow t 2)) (pow z 2)) |
(+ (* -1 (pow t 2)) (pow z 2)) |
(/ x (* y z)) |
(+ (* -1 (/ (* t x) (* y (pow z 2)))) (/ x (* y z))) |
(+ (* t (- (/ (* t x) (* y (pow z 3))) (/ x (* y (pow z 2))))) (/ x (* y z))) |
(+ (* t (- (* t (- (* -1 (/ (* t x) (* y (pow z 4)))) (* -1 (/ x (* y (pow z 3)))))) (/ x (* y (pow z 2))))) (/ x (* y z))) |
(* y z) |
(+ (* t y) (* y z)) |
(+ (* t y) (* y z)) |
(+ (* t y) (* y z)) |
(* t (+ 1 (* -1 (/ x y)))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* -1 (/ t y)) |
(* t (- (/ z (* t y)) (/ 1 y))) |
(* t (- (/ z (* t y)) (/ 1 y))) |
(* t (- (/ z (* t y)) (/ 1 y))) |
(* t (+ 1 (* -1 (/ x y)))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (* -1 (/ x y)))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* -1 (/ (* t x) y)) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(* t (+ (* -1 (/ x y)) (/ (* x z) (* t y)))) |
(* -1 (* t x)) |
(* t (+ (* -1 x) (/ (* x z) t))) |
(* t (+ (* -1 x) (/ (* x z) t))) |
(* t (+ (* -1 x) (/ (* x z) t))) |
(* -1 t) |
(* t (- (/ z t) 1)) |
(* t (- (/ z t) 1)) |
(* t (- (/ z t) 1)) |
(* t (+ 1 (* -1 (/ x y)))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* -1 (/ t y)) |
(* t (- (/ z (* t y)) (/ 1 y))) |
(* t (- (/ z (* t y)) (/ 1 y))) |
(* t (- (/ z (* t y)) (/ 1 y))) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* t (+ 1 (* -1 (/ x y)))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(* -1 (pow t 2)) |
(* (pow t 2) (- (/ (pow z 2) (pow t 2)) 1)) |
(* (pow t 2) (- (/ (pow z 2) (pow t 2)) 1)) |
(* (pow t 2) (- (/ (pow z 2) (pow t 2)) 1)) |
(/ x (* t y)) |
(/ (+ (* -1 (/ (* x z) (* t y))) (/ x y)) t) |
(/ (- (+ (/ x y) (/ (* x (pow z 2)) (* (pow t 2) y))) (/ (* x z) (* t y))) t) |
(/ (- (+ (* -1 (/ (* x (pow z 3)) (* (pow t 3) y))) (/ x y)) (+ (* -1 (/ (* x (pow z 2)) (* (pow t 2) y))) (/ (* x z) (* t y)))) t) |
(* t y) |
(* t (+ y (/ (* y z) t))) |
(* t (+ y (/ (* y z) t))) |
(* t (+ y (/ (* y z) t))) |
(* -1 (* t (- (/ x y) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (/ t y)) |
(* -1 (* t (+ (* -1 (/ z (* t y))) (/ 1 y)))) |
(* -1 (* t (+ (* -1 (/ z (* t y))) (/ 1 y)))) |
(* -1 (* t (+ (* -1 (/ z (* t y))) (/ 1 y)))) |
(* -1 (* t (- (/ x y) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (/ x y) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (/ (* t x) y)) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(* -1 (* t (+ (* -1 (/ (* x z) (* t y))) (/ x y)))) |
(* -1 (* t x)) |
(* -1 (* t (+ x (* -1 (/ (* x z) t))))) |
(* -1 (* t (+ x (* -1 (/ (* x z) t))))) |
(* -1 (* t (+ x (* -1 (/ (* x z) t))))) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ z t))))) |
(* -1 (* t (+ 1 (* -1 (/ z t))))) |
(* -1 (* t (+ 1 (* -1 (/ z t))))) |
(* -1 (* t (- (/ x y) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (/ t y)) |
(* -1 (* t (+ (* -1 (/ z (* t y))) (/ 1 y)))) |
(* -1 (* t (+ (* -1 (/ z (* t y))) (/ 1 y)))) |
(* -1 (* t (+ (* -1 (/ z (* t y))) (/ 1 y)))) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 (* t (- (/ x y) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (* t (- (+ (* -1 (/ (* x z) (* t y))) (/ x y)) 1))) |
(* -1 (pow t 2)) |
(* (pow t 2) (- (/ (pow z 2) (pow t 2)) 1)) |
(* (pow t 2) (- (/ (pow z 2) (pow t 2)) 1)) |
(* (pow t 2) (- (/ (pow z 2) (pow t 2)) 1)) |
(/ x (* t y)) |
(* -1 (/ (+ (* -1 (/ x y)) (/ (* x z) (* t y))) t)) |
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (/ (* x (pow z 2)) (* t y)) (/ (* x z) y)) t))) t)) |
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (* -1 (/ (- (/ (* x (pow z 3)) (* t y)) (/ (* x (pow z 2)) y)) t)) (/ (* x z) y)) t))) t)) |
(* t y) |
(* -1 (* t (+ (* -1 y) (* -1 (/ (* y z) t))))) |
(* -1 (* t (+ (* -1 y) (* -1 (/ (* y z) t))))) |
(* -1 (* t (+ (* -1 y) (* -1 (/ (* y z) t))))) |
(+ t (* -1 (/ (* t x) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(* -1 (/ t y)) |
(+ (* -1 (/ t y)) (/ z y)) |
(+ (* -1 (/ t y)) (/ z y)) |
(+ (* -1 (/ t y)) (/ z y)) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(+ t (* -1 (/ (* t x) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(+ t (* -1 (/ (* t x) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(* -1 (/ (* t x) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(+ (* -1 (/ (* t x) y)) (/ (* x z) y)) |
(* -1 (* t x)) |
(+ (* -1 (* t x)) (* x z)) |
(+ (* -1 (* t x)) (* x z)) |
(+ (* -1 (* t x)) (* x z)) |
(* -1 t) |
(- z t) |
(- z t) |
(- z t) |
(+ t (* -1 (/ (* t x) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(* -1 (/ t y)) |
(+ (* -1 (/ t y)) (/ z y)) |
(+ (* -1 (/ t y)) (/ z y)) |
(+ (* -1 (/ t y)) (/ z y)) |
(+ t (* -1 (/ (* t x) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(+ t (+ (* -1 (/ (* t x) y)) (/ (* x z) y))) |
(* -1 (pow t 2)) |
(+ (* -1 (pow t 2)) (pow z 2)) |
(+ (* -1 (pow t 2)) (pow z 2)) |
(+ (* -1 (pow t 2)) (pow z 2)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ x (* t y)) |
(+ (* -1 (/ (* x z) (* (pow t 2) y))) (/ x (* t y))) |
(+ (* z (- (/ (* x z) (* (pow t 3) y)) (/ x (* (pow t 2) y)))) (/ x (* t y))) |
(+ (* z (- (* z (- (* -1 (/ (* x z) (* (pow t 4) y))) (* -1 (/ x (* (pow t 3) y))))) (/ x (* (pow t 2) y)))) (/ x (* t y))) |
(* t y) |
(+ (* t y) (* y z)) |
(+ (* t y) (* y z)) |
(+ (* t y) (* y z)) |
(/ (* x z) y) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(/ z y) |
(* z (+ (* -1 (/ t (* y z))) (/ 1 y))) |
(* z (+ (* -1 (/ t (* y z))) (/ 1 y))) |
(* z (+ (* -1 (/ t (* y z))) (/ 1 y))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x z) y) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(/ (* x z) y) |
(* z (+ (* -1 (/ (* t x) (* y z))) (/ x y))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (/ x y))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (/ x y))) |
(* x z) |
(* z (+ x (* -1 (/ (* t x) z)))) |
(* z (+ x (* -1 (/ (* t x) z)))) |
(* z (+ x (* -1 (/ (* t x) z)))) |
z |
(* z (+ 1 (* -1 (/ t z)))) |
(* z (+ 1 (* -1 (/ t z)))) |
(* z (+ 1 (* -1 (/ t z)))) |
(/ (* x z) y) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(* z (+ (* -1 (/ (* t x) (* y z))) (+ (/ t z) (/ x y)))) |
(/ z y) |
(* z (+ (* -1 (/ t (* y z))) (/ 1 y))) |
(* z (+ (* -1 (/ t (* y z))) (/ 1 y))) |
(* z (+ (* -1 (/ t (* y z))) (/ 1 y))) |
(/ (* x z) y) |
(* z (- (+ (/ t z) (/ x y)) (/ (* t x) (* y z)))) |
(* z (- (+ (/ t z) (/ x y)) (/ (* t x) (* y z)))) |
(* z (- (+ (/ t z) (/ x y)) (/ (* t x) (* y z)))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (pow t 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (pow t 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (pow t 2) (pow z 2))))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ x (* y z)) |
(/ (+ (* -1 (/ (* t x) (* y z))) (/ x y)) z) |
(/ (- (+ (/ x y) (/ (* (pow t 2) x) (* y (pow z 2)))) (/ (* t x) (* y z))) z) |
(/ (- (+ (* -1 (/ (* (pow t 3) x) (* y (pow z 3)))) (/ x y)) (+ (* -1 (/ (* (pow t 2) x) (* y (pow z 2)))) (/ (* t x) (* y z)))) z) |
(* y z) |
(* z (+ y (/ (* t y) z))) |
(* z (+ y (/ (* t y) z))) |
(* z (+ y (/ (* t y) z))) |
(/ (* x z) y) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(/ z y) |
(* -1 (* z (- (/ t (* y z)) (/ 1 y)))) |
(* -1 (* z (- (/ t (* y z)) (/ 1 y)))) |
(* -1 (* z (- (/ t (* y z)) (/ 1 y)))) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x z) y) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(/ (* x z) y) |
(* -1 (* z (+ (* -1 (/ x y)) (/ (* t x) (* y z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (/ (* t x) (* y z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (/ (* t x) (* y z))))) |
(* x z) |
(* -1 (* z (+ (* -1 x) (/ (* t x) z)))) |
(* -1 (* z (+ (* -1 x) (/ (* t x) z)))) |
(* -1 (* z (+ (* -1 x) (/ (* t x) z)))) |
z |
(* -1 (* z (- (/ t z) 1))) |
(* -1 (* z (- (/ t z) 1))) |
(* -1 (* z (- (/ t z) 1))) |
(/ (* x z) y) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (+ t (* -1 (/ (* t x) y))) z))))) |
(/ z y) |
(* -1 (* z (- (/ t (* y z)) (/ 1 y)))) |
(* -1 (* z (- (/ t (* y z)) (/ 1 y)))) |
(* -1 (* z (- (/ t (* y z)) (/ 1 y)))) |
(/ (* x z) y) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (- t (/ (* t x) y)) z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (- t (/ (* t x) y)) z))))) |
(* -1 (* z (+ (* -1 (/ x y)) (* -1 (/ (- t (/ (* t x) y)) z))))) |
(pow z 2) |
(* (pow z 2) (+ 1 (* -1 (/ (pow t 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (pow t 2) (pow z 2))))) |
(* (pow z 2) (+ 1 (* -1 (/ (pow t 2) (pow z 2))))) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(/ x (* y z)) |
(* -1 (/ (+ (* -1 (/ x y)) (/ (* t x) (* y z))) z)) |
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (/ (* (pow t 2) x) (* y z)) (/ (* t x) y)) z))) z)) |
(* -1 (/ (+ (* -1 (/ x y)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow t 3) x) (* y z)) (/ (* (pow t 2) x) y)) z)) (/ (* t x) y)) z))) z)) |
(* y z) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* t y) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* t y) z))))) |
(* -1 (* z (+ (* -1 y) (* -1 (/ (* t y) z))))) |
(/ (* x (- z t)) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (- z t) y) |
(/ (- z t) y) |
(/ (- z t) y) |
(/ (- z t) y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ (* x (- z t)) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x (- z t)) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (- z t) y) |
(/ (- z t) y) |
(/ (- z t) y) |
(/ (- z t) y) |
(/ (* x (+ (* -1 (pow t 2)) (pow z 2))) (* y (+ t z))) |
(/ (+ (* t y) (/ (* x (+ (* -1 (pow t 2)) (pow z 2))) (+ t z))) y) |
(/ (+ (* t y) (/ (* x (+ (* -1 (pow t 2)) (pow z 2))) (+ t z))) y) |
(/ (+ (* t y) (/ (* x (+ (* -1 (pow t 2)) (pow z 2))) (+ t z))) y) |
(/ x (* y (+ t z))) |
(/ x (* y (+ t z))) |
(/ x (* y (+ t z))) |
(/ x (* y (+ t z))) |
(* y (+ t z)) |
(* y (+ t z)) |
(* y (+ t z)) |
(* y (+ t z)) |
t |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(/ (- z t) y) |
(/ (- z t) y) |
(/ (- z t) y) |
(/ (- z t) y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
t |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
t |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
t |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(/ (- z t) y) |
(/ (- z t) y) |
(/ (- z t) y) |
(/ (- z t) y) |
t |
(+ t (/ (* x (+ (* -1 (pow t 2)) (pow z 2))) (* y (+ t z)))) |
(+ t (/ (* x (+ (* -1 (pow t 2)) (pow z 2))) (* y (+ t z)))) |
(+ t (/ (* x (+ (* -1 (pow t 2)) (pow z 2))) (* y (+ t z)))) |
(/ x (* y (+ t z))) |
(/ x (* y (+ t z))) |
(/ x (* y (+ t z))) |
(/ x (* y (+ t z))) |
(* y (+ t z)) |
(* y (+ t z)) |
(* y (+ t z)) |
(* y (+ t z)) |
t |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(/ (- z t) y) |
(/ (- z t) y) |
(/ (- z t) y) |
(/ (- z t) y) |
(/ z y) |
(/ z y) |
(/ z y) |
(/ z y) |
t |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
t |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
t |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(/ (- z t) y) |
(/ (- z t) y) |
(/ (- z t) y) |
(/ (- z t) y) |
t |
(+ t (/ (* x (+ (* -1 (pow t 2)) (pow z 2))) (* y (+ t z)))) |
(+ t (/ (* x (+ (* -1 (pow t 2)) (pow z 2))) (* y (+ t z)))) |
(+ t (/ (* x (+ (* -1 (pow t 2)) (pow z 2))) (* y (+ t z)))) |
(/ x (* y (+ t z))) |
(/ x (* y (+ t z))) |
(/ x (* y (+ t z))) |
(/ x (* y (+ t z))) |
(* y (+ t z)) |
(* y (+ t z)) |
(* y (+ t z)) |
(* y (+ t z)) |
t |
(+ t (* x (- (/ z y) (/ t y)))) |
(+ t (* x (- (/ z y) (/ t y)))) |
(+ t (* x (- (/ z y) (/ t y)))) |
t |
(+ t (* x (- (/ z y) (/ t y)))) |
(+ t (* x (- (/ z y) (/ t y)))) |
(+ t (* x (- (/ z y) (/ t y)))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
t |
(+ t (* x (- (/ z y) (/ t y)))) |
(+ t (* x (- (/ z y) (/ t y)))) |
(+ t (* x (- (/ z y) (/ t y)))) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(* x (- z t)) |
(* x (- z t)) |
(* x (- z t)) |
(* x (- z t)) |
t |
(+ t (* x (- (/ z y) (/ t y)))) |
(+ t (* x (- (/ z y) (/ t y)))) |
(+ t (* x (- (/ z y) (/ t y)))) |
t |
(+ t (* x (+ (* -1 (/ (pow t 2) (* y (+ t z)))) (/ (pow z 2) (* y (+ t z)))))) |
(+ t (* x (+ (* -1 (/ (pow t 2) (* y (+ t z)))) (/ (pow z 2) (* y (+ t z)))))) |
(+ t (* x (+ (* -1 (/ (pow t 2) (* y (+ t z)))) (/ (pow z 2) (* y (+ t z)))))) |
(/ x (* y (+ t z))) |
(/ x (* y (+ t z))) |
(/ x (* y (+ t z))) |
(/ x (* y (+ t z))) |
(* x (- (/ z y) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(* x (- (/ z y) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(* x (- (/ z y) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(* x (- z t)) |
(* x (- z t)) |
(* x (- z t)) |
(* x (- z t)) |
(* x (- (/ z y) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(* x (+ (* -1 (/ (pow t 2) (* y (+ t z)))) (/ (pow z 2) (* y (+ t z))))) |
(* x (+ (* -1 (/ (pow t 2) (* y (+ t z)))) (+ (/ t x) (/ (pow z 2) (* y (+ t z)))))) |
(* x (+ (* -1 (/ (pow t 2) (* y (+ t z)))) (+ (/ t x) (/ (pow z 2) (* y (+ t z)))))) |
(* x (+ (* -1 (/ (pow t 2) (* y (+ t z)))) (+ (/ t x) (/ (pow z 2) (* y (+ t z)))))) |
(/ x (* y (+ t z))) |
(/ x (* y (+ t z))) |
(/ x (* y (+ t z))) |
(/ x (* y (+ t z))) |
(/ (* x (- z t)) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(/ (* x (- z t)) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x (- z t)) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(* x (- z t)) |
(* x (- z t)) |
(* x (- z t)) |
(* x (- z t)) |
(/ (* x (- z t)) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(/ (* x (+ (* -1 (pow t 2)) (pow z 2))) (* y (+ t z))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (+ (* -1 (pow t 2)) (pow z 2)) (* y (+ t z))))))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (+ (* -1 (pow t 2)) (pow z 2)) (* y (+ t z))))))) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (+ (* -1 (pow t 2)) (pow z 2)) (* y (+ t z))))))) |
(/ x (* y (+ t z))) |
(/ x (* y (+ t z))) |
(/ x (* y (+ t z))) |
(/ x (* y (+ t z))) |
| Outputs |
|---|
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(/ z y) |
(/.f64 z y) |
(+ (* -1 (/ t y)) (/ z y)) |
(/.f64 (-.f64 z t) y) |
(+ (* -1 (/ t y)) (/ z y)) |
(/.f64 (-.f64 z t) y) |
(+ (* -1 (/ t y)) (/ z y)) |
(/.f64 (-.f64 z t) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
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(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(*.f64 (+.f64 (/.f64 t x) (/.f64 (-.f64 z t) y)) x) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(*.f64 (+.f64 (/.f64 t x) (/.f64 (-.f64 z t) y)) x) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(*.f64 (+.f64 (/.f64 t x) (/.f64 (-.f64 z t) y)) x) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(*.f64 (+.f64 (/.f64 t x) (/.f64 (-.f64 z t) y)) x) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(*.f64 (+.f64 (/.f64 t x) (/.f64 (-.f64 z t) y)) x) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(*.f64 (+.f64 (/.f64 t x) (/.f64 (-.f64 z t) y)) x) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(*.f64 (+.f64 (/.f64 t x) (/.f64 (-.f64 z t) y)) x) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(*.f64 (+.f64 (/.f64 t x) (/.f64 (-.f64 z t) y)) x) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(* x (- z t)) |
(*.f64 (-.f64 z t) x) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(*.f64 (+.f64 (/.f64 t x) (/.f64 (-.f64 z t) y)) x) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(*.f64 (+.f64 (/.f64 t x) (/.f64 (-.f64 z t) y)) x) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(*.f64 (+.f64 (/.f64 t x) (/.f64 (-.f64 z t) y)) x) |
(/ (* x (+ (* -1 (pow t 2)) (pow z 2))) (* y (+ t z))) |
(*.f64 (/.f64 x (+.f64 t z)) (/.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) y)) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (+ (* -1 (pow t 2)) (pow z 2)) (* y (+ t z))))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) y) (+.f64 t z)) (/.f64 t x)) x) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (+ (* -1 (pow t 2)) (pow z 2)) (* y (+ t z))))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) y) (+.f64 t z)) (/.f64 t x)) x) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (+ (* -1 (pow t 2)) (pow z 2)) (* y (+ t z))))))) |
(*.f64 (+.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) y) (+.f64 t z)) (/.f64 t x)) x) |
(/ x (* y (+ t z))) |
(/.f64 x (*.f64 (+.f64 t z) y)) |
(/ x (* y (+ t z))) |
(/.f64 x (*.f64 (+.f64 t z) y)) |
(/ x (* y (+ t z))) |
(/.f64 x (*.f64 (+.f64 t z) y)) |
(/ x (* y (+ t z))) |
(/.f64 x (*.f64 (+.f64 t z) y)) |
| 5 040× | lower-fma.f32 |
| 5 032× | lower-fma.f64 |
| 4 848× | lower-/.f32 |
| 4 840× | lower-/.f64 |
| 4 548× | lower-*.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 147 |
| 0 | 45 | 147 |
| 1 | 185 | 140 |
| 2 | 1544 | 140 |
| 0 | 8154 | 137 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) |
#s(approx (/ (- z t) y) (/.f64 z y)) |
(/.f64 z y) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) |
(*.f64 (/.f64 z y) x) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) |
(/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) |
(*.f64 #s(approx (- z t) (neg.f64 t)) x) |
#s(approx (- z t) (neg.f64 t)) |
(fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) |
(/.f64 #s(approx (- z t) (neg.f64 t)) y) |
(neg.f64 t) |
(fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) |
(fma.f64 (neg.f64 t) t (*.f64 z z)) |
(*.f64 z z) |
(/.f64 x (*.f64 (+.f64 t z) y)) |
(*.f64 (+.f64 t z) y) |
| Outputs |
|---|
(*.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64))) (/.f64 #s(literal 1 binary64) (-.f64 t (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y)))))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64)) (*.f64 t t))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) (neg.f64 t))))) |
(*.f64 (neg.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 3 binary64)))) (/.f64 #s(literal 1 binary64) (neg.f64 (fma.f64 t (-.f64 t (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y)))) (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64)))))) |
(*.f64 (-.f64 (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64)) (*.f64 t t)) (pow.f64 (fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) (neg.f64 t)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) t)) |
(*.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 3 binary64))) (/.f64 #s(literal 1 binary64) (fma.f64 t t (-.f64 (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64)) (*.f64 #s(approx (/ (- z t) y) (/.f64 z y)) (*.f64 x t)))))) |
(*.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 3 binary64))) (pow.f64 (fma.f64 t (-.f64 t (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y)))) (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) t)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64)) (fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) (neg.f64 t))) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 t t) (fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) (neg.f64 t))) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64)) (fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) (neg.f64 t))) (/.f64 (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64)) (fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) (neg.f64 t))) (fma.f64 (/.f64 (*.f64 t t) (fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) (neg.f64 t))) (/.f64 (*.f64 t t) (fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) (neg.f64 t))) (*.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64)) (fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) (neg.f64 t))) (/.f64 (*.f64 t t) (fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) (neg.f64 t))))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64)))) (neg.f64 (-.f64 t (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y)))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64)) (*.f64 t t)))) (neg.f64 (neg.f64 (fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) (neg.f64 t))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 t (-.f64 t (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y)))) (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64)) (fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) (neg.f64 t))) (*.f64 (fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) (neg.f64 t)) (*.f64 t t))) (*.f64 (fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) (neg.f64 t)) (fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) (neg.f64 t)))) |
(/.f64 (-.f64 (*.f64 t t) (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64))) (-.f64 t (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64)) (*.f64 t t))) (neg.f64 (fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) (neg.f64 t)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 t t (-.f64 (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64)) (*.f64 #s(approx (/ (- z t) y) (/.f64 z y)) (*.f64 x t)))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 3 binary64)))) (neg.f64 (fma.f64 t (-.f64 t (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y)))) (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64)) (*.f64 t t)) (fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) (neg.f64 t))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 t (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y)))) (-.f64 (*.f64 t t) (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) t)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t (-.f64 (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64)) (*.f64 #s(approx (/ (- z t) y) (/.f64 z y)) (*.f64 x t)))) (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) t))) |
(/.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 3 binary64))) (fma.f64 t t (-.f64 (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64)) (*.f64 #s(approx (/ (- z t) y) (/.f64 z y)) (*.f64 x t))))) |
(/.f64 (+.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 3 binary64))) (fma.f64 t (-.f64 t (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y)))) (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64)))) |
(fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) t) |
(fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) |
(-.f64 (/.f64 (*.f64 t t) (-.f64 t (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))))) (/.f64 (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64)) (-.f64 t (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y)))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) #s(literal 2 binary64)) (fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) (neg.f64 t))) (/.f64 (*.f64 t t) (fma.f64 x #s(approx (/ (- z t) y) (/.f64 z y)) (neg.f64 t)))) |
(+.f64 (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y))) t) |
(+.f64 t (*.f64 x #s(approx (/ (- z t) y) (/.f64 z y)))) |
#s(approx (/ (- z t) y) (/.f64 z y)) |
(*.f64 (*.f64 z #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (neg.f64 (neg.f64 z)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal 1 binary64) (neg.f64 (/.f64 y z)))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) z) |
(*.f64 #s(literal 1 binary64) (/.f64 z y)) |
(*.f64 (neg.f64 z) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 z (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (/.f64 y z) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (*.f64 z #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y z))) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 z #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 y z)) |
(/.f64 (neg.f64 z) (neg.f64 y)) |
(/.f64 z y) |
(neg.f64 (/.f64 (neg.f64 z) y)) |
(neg.f64 (/.f64 z (neg.f64 y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 z (neg.f64 y))) |
(exp.f64 (*.f64 (log.f64 (/.f64 y z)) #s(literal -1 binary64))) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 z) y)) |
(*.f64 (*.f64 (neg.f64 z) x) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 z y)) |
(*.f64 (*.f64 x (neg.f64 z)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 z y)) |
(*.f64 (neg.f64 (*.f64 x z)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (*.f64 x z) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (/.f64 x (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 #s(literal 1 binary64) (*.f64 x (/.f64 z y))) |
(*.f64 (/.f64 x y) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 x (/.f64 z y)) |
(*.f64 (/.f64 z y) x) |
(*.f64 z (/.f64 x y)) |
(pow.f64 (/.f64 y (*.f64 x z)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) x)) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 x (neg.f64 z))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 x z))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) x)) (neg.f64 (/.f64 y z))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 (/.f64 y z))) |
(/.f64 (*.f64 (neg.f64 z) x) (neg.f64 y)) |
(/.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 y z)) |
(/.f64 (*.f64 x (neg.f64 z)) (neg.f64 y)) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 y z)) |
(/.f64 (neg.f64 (*.f64 x z)) (neg.f64 y)) |
(/.f64 (*.f64 x z) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y (*.f64 x z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 (neg.f64 z) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (*.f64 #s(literal 1 binary64) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 y) (*.f64 x (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y (*.f64 x z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y z) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 y (*.f64 x z))) |
(/.f64 (neg.f64 x) (neg.f64 (/.f64 y z))) |
(/.f64 x (/.f64 y z)) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y))) |
(*.f64 (/.f64 (neg.f64 #s(approx (- z t) (neg.f64 t))) #s(literal -1 binary64)) (/.f64 x y)) |
(*.f64 (/.f64 (neg.f64 x) #s(literal -1 binary64)) (/.f64 #s(approx (- z t) (neg.f64 t)) y)) |
(*.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) #s(literal -1 binary64)) (/.f64 (neg.f64 x) y)) |
(*.f64 (/.f64 x #s(literal -1 binary64)) (/.f64 (neg.f64 #s(approx (- z t) (neg.f64 t))) y)) |
(*.f64 (*.f64 #s(literal 1 binary64) x) (/.f64 #s(approx (- z t) (neg.f64 t)) y)) |
(*.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) #s(literal 1 binary64)) (/.f64 x y)) |
(*.f64 (*.f64 x #s(literal 1 binary64)) (/.f64 #s(approx (- z t) (neg.f64 t)) y)) |
(*.f64 (neg.f64 (*.f64 (neg.f64 x) #s(approx (- z t) (neg.f64 t)))) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) #s(literal 1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
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(*.f64 x (pow.f64 (*.f64 (+.f64 t z) y) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (*.f64 (+.f64 t z) y) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 x (+.f64 t z)))) (neg.f64 (neg.f64 y))) |
(/.f64 (neg.f64 (/.f64 x y)) (neg.f64 (+.f64 t z))) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (*.f64 (neg.f64 y) (+.f64 t z))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (*.f64 (neg.f64 y) (+.f64 t z))))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) (*.f64 (+.f64 t z) y)) |
(/.f64 (neg.f64 (/.f64 x (+.f64 t z))) (neg.f64 y)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (*.f64 (neg.f64 y) (+.f64 t z)))) |
(/.f64 (/.f64 x (+.f64 t z)) y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 t z) y) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 t z) y) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 t z) (/.f64 x y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (+.f64 t z) y) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 t z) y) x)) |
(/.f64 (neg.f64 x) (*.f64 (neg.f64 y) (+.f64 t z))) |
(/.f64 (/.f64 x y) (+.f64 t z)) |
(/.f64 x (*.f64 (+.f64 t z) y)) |
(neg.f64 (/.f64 (neg.f64 x) (*.f64 (+.f64 t z) y))) |
(neg.f64 (/.f64 x (*.f64 (neg.f64 y) (+.f64 t z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 y) (+.f64 t z))) (/.f64 x (*.f64 (neg.f64 y) (+.f64 t z)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 t z) y) x)) #s(literal -1 binary64))) |
(*.f64 (*.f64 (*.f64 (+.f64 t z) (-.f64 t z)) y) (pow.f64 (-.f64 t z) #s(literal -1 binary64))) |
(*.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) y) (pow.f64 (fma.f64 t t (*.f64 z (-.f64 z t))) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (*.f64 (+.f64 t z) (-.f64 t z))) (pow.f64 (-.f64 t z) #s(literal -1 binary64))) |
(*.f64 (*.f64 y (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (pow.f64 (fma.f64 t t (*.f64 z (-.f64 z t))) #s(literal -1 binary64))) |
(*.f64 (+.f64 t z) y) |
(*.f64 y (+.f64 t z)) |
(/.f64 (+.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (pow.f64 (*.f64 z y) #s(literal 3 binary64))) (fma.f64 (*.f64 t y) (*.f64 t y) (-.f64 (*.f64 (*.f64 z y) (*.f64 z y)) (*.f64 (*.f64 t y) (*.f64 z y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y z) #s(literal 3 binary64)) (pow.f64 (*.f64 y t) #s(literal 3 binary64))) (fma.f64 (*.f64 y z) (*.f64 y z) (-.f64 (*.f64 (*.f64 y t) (*.f64 y t)) (*.f64 (*.f64 y z) (*.f64 y t))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y t) #s(literal 3 binary64)) (pow.f64 (*.f64 y z) #s(literal 3 binary64))) (fma.f64 (*.f64 y t) (*.f64 y t) (-.f64 (*.f64 (*.f64 y z) (*.f64 y z)) (*.f64 (*.f64 y t) (*.f64 y z))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 z y) #s(literal 3 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64))) (fma.f64 (*.f64 z y) (*.f64 z y) (-.f64 (*.f64 (*.f64 t y) (*.f64 t y)) (*.f64 (*.f64 z y) (*.f64 t y))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 t z) (-.f64 t z)) y)) (neg.f64 (-.f64 t z))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) y)) (neg.f64 (fma.f64 t t (*.f64 z (-.f64 z t))))) |
(/.f64 (neg.f64 (*.f64 y (*.f64 (+.f64 t z) (-.f64 t z)))) (neg.f64 (-.f64 t z))) |
(/.f64 (neg.f64 (*.f64 y (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))))) (neg.f64 (fma.f64 t t (*.f64 z (-.f64 z t))))) |
(/.f64 (*.f64 (*.f64 (+.f64 t z) (-.f64 t z)) y) (-.f64 t z)) |
(/.f64 (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) y) (fma.f64 t t (*.f64 z (-.f64 z t)))) |
(/.f64 (*.f64 y (*.f64 (+.f64 t z) (-.f64 t z))) (-.f64 t z)) |
(/.f64 (*.f64 y (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))) (fma.f64 t t (*.f64 z (-.f64 z t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 t z) (*.f64 (*.f64 (+.f64 t z) (-.f64 t z)) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t (*.f64 z (-.f64 z t))) (*.f64 (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 t z) (*.f64 y (*.f64 (+.f64 t z) (-.f64 t z))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 t t (*.f64 z (-.f64 z t))) (*.f64 y (+.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))) |
(fma.f64 y t (*.f64 y z)) |
(fma.f64 y z (*.f64 y t)) |
(fma.f64 t y (*.f64 z y)) |
(fma.f64 z y (*.f64 t y)) |
(+.f64 (*.f64 t y) (*.f64 z y)) |
(+.f64 (*.f64 y z) (*.f64 y t)) |
(+.f64 (*.f64 y t) (*.f64 y z)) |
(+.f64 (*.f64 z y) (*.f64 t y)) |
Compiled 18 344 to 1 776 computations (90.3% saved)
14 alts after pruning (4 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 190 | 2 | 1 192 |
| Fresh | 1 | 2 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 6 | 6 |
| Total | 1 192 | 14 | 1 206 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 62.4% | (fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) |
| ✓ | 97.9% | (fma.f64 (/.f64 x y) (-.f64 z t) t) |
| 66.3% | (fma.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)) t) | |
| ✓ | 73.2% | (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) |
| 52.7% | (fma.f64 #s(approx (+ (* (neg t) t) (* z z)) (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) | |
| ✓ | 61.4% | (+.f64 (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) t) |
| ✓ | 58.6% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) |
| ✓ | 28.5% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) |
| ✓ | 38.2% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) |
| 41.2% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.f64 y x))) | |
| ✓ | 38.5% | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) |
| 31.1% | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)))) | |
| ✓ | 41.2% | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) |
| ✓ | 29.2% | #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) |
Compiled 312 to 182 computations (41.7% saved)
| Inputs |
|---|
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) |
(fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) |
#s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y)))) |
#s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)))) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t)) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) |
(+.f64 #s(approx (* (/ x y) (- z t)) (/.f64 (*.f64 z x) y)) t) |
(+.f64 (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) t) |
(fma.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)) t) |
(fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) |
(fma.f64 (/.f64 x y) (-.f64 z t) t) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+.f64 (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) t) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) |
(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) |
(fma.f64 #s(approx (+ (* (neg t) t) (* z z)) (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) |
(fma.f64 (fma.f64 (neg.f64 t) t (*.f64 z z)) (/.f64 x (*.f64 (+.f64 t z) y)) t) |
| Outputs |
|---|
(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) |
6 calls:
| 76.0ms | z |
| 57.0ms | (/.f64 x y) |
| 7.0ms | x |
| 7.0ms | t |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | x |
| 97.9% | 1 | y |
| 97.9% | 1 | z |
| 97.9% | 1 | t |
| 97.9% | 1 | (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
| 97.9% | 1 | (/.f64 x y) |
Compiled 16 to 29 computations (-81.3% saved)
| Inputs |
|---|
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) |
(fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) |
#s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y)))) |
#s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)))) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t)) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) |
(+.f64 #s(approx (* (/ x y) (- z t)) (/.f64 (*.f64 z x) y)) t) |
(+.f64 (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) t) |
(fma.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)) t) |
(fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) |
(fma.f64 (/.f64 x y) (-.f64 z t) t) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(+.f64 (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) t) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
(+.f64 (/.f64 (*.f64 (-.f64 z t) x) y) t) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) |
| Outputs |
|---|
(fma.f64 (/.f64 x y) (-.f64 z t) t) |
6 calls:
| 47.0ms | z |
| 7.0ms | y |
| 7.0ms | (/.f64 x y) |
| 7.0ms | x |
| 7.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.9% | 1 | x |
| 97.9% | 1 | y |
| 97.9% | 1 | z |
| 97.9% | 1 | t |
| 97.9% | 1 | (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
| 97.9% | 1 | (/.f64 x y) |
Compiled 16 to 29 computations (-81.3% saved)
| Inputs |
|---|
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) |
(fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) |
#s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y)))) |
#s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)))) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t)) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) |
(+.f64 #s(approx (* (/ x y) (- z t)) (/.f64 (*.f64 z x) y)) t) |
(+.f64 (/.f64 #s(approx (* (- z t) x) (*.f64 z x)) y) t) |
(fma.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)) t) |
(fma.f64 (/.f64 #s(approx (- z t) (neg.f64 t)) y) x t) |
| Outputs |
|---|
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) |
(fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) |
6 calls:
| 238.0ms | x |
| 5.0ms | y |
| 5.0ms | z |
| 5.0ms | t |
| 5.0ms | (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 82.2% | 3 | x |
| 88.2% | 3 | y |
| 87.3% | 3 | z |
| 88.6% | 3 | t |
| 84.3% | 3 | (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
| 93.7% | 3 | (/.f64 x y) |
Compiled 16 to 29 computations (-81.3% saved)
| Inputs |
|---|
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) |
(fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) |
#s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y)))) |
#s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)))) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t)) |
| Outputs |
|---|
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t)) |
(fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t)) |
3 calls:
| 4.0ms | t |
| 4.0ms | y |
| 4.0ms | (/.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.1% | 3 | y |
| 87.9% | 3 | t |
| 80.0% | 5 | (/.f64 x y) |
Compiled 5 to 13 computations (-160% saved)
| Inputs |
|---|
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) |
(fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) |
#s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y)))) |
#s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)))) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) |
| Outputs |
|---|
(fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) |
#s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y)))) |
(fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) |
5 calls:
| 3.0ms | t |
| 3.0ms | x |
| 3.0ms | z |
| 3.0ms | y |
| 3.0ms | (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.4% | 3 | y |
| 75.1% | 2 | x |
| 73.2% | 1 | (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
| 73.2% | 1 | z |
| 73.2% | 1 | t |
Compiled 13 to 24 computations (-84.6% saved)
| Inputs |
|---|
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) |
(fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) |
| Outputs |
|---|
(fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) |
4 calls:
| 2.0ms | x |
| 2.0ms | t |
| 2.0ms | y |
| 2.0ms | (/.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.2% | 1 | t |
| 73.2% | 1 | x |
| 73.2% | 1 | (/.f64 x y) |
| 73.2% | 1 | y |
Compiled 6 to 17 computations (-183.3% saved)
Total -4.5b remaining (-11.9%)
Threshold costs -4.5b (-11.9%)
| Inputs |
|---|
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) |
| Outputs |
|---|
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) |
6 calls:
| 55.0ms | t |
| 2.0ms | (/.f64 x y) |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 41.2% | 1 | z |
| 41.2% | 1 | x |
| 41.2% | 1 | y |
| 41.2% | 1 | (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
| 41.2% | 1 | (/.f64 x y) |
| 41.2% | 1 | t |
Compiled 16 to 29 computations (-81.3% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.13745410491502624 | 227.40849327069202 |
| 0.0ms | -4.176219849943421e+23 | -223286988639381.56 |
Compiled 12 to 15 computations (-25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 6.317659167031588e-9 | 2.2646430702790427e-7 |
| 11.0ms | -5.8709591971952696e-37 | -8.769788848248631e-41 |
| 12.0ms | 240× | 0 | valid |
Compiled 237 to 285 computations (-20.3% saved)
ival-div: 2.0ms (33.8% of total)ival-sub: 1.0ms (16.9% of total)ival-add: 1.0ms (16.9% of total)ival-mult: 1.0ms (16.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 281.0ms | 8.711468213580134e-210 | 5.232723076240481e-202 |
| 11.0ms | -3.368591176836703e-181 | -1.1337789160665938e-184 |
| 13.0ms | 272× | 0 | valid |
Compiled 267 to 321 computations (-20.2% saved)
ival-div: 2.0ms (29.7% of total)ival-mult: 2.0ms (29.7% of total)ival-sub: 1.0ms (14.9% of total)ival-add: 1.0ms (14.9% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 20× | *-commutative-binary64-*.f64 |
| 16× | +-commutative-binary64-+.f64 |
| 14× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 10× | neg-sub0-binary64--.f64-neg.f64 |
| 10× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 212 |
| 1 | 67 | 212 |
| 2 | 82 | 212 |
| 3 | 93 | 212 |
| 4 | 99 | 212 |
| 5 | 101 | 212 |
| 1× | saturated |
| Inputs |
|---|
(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) |
(fma.f64 (/.f64 x y) (-.f64 z t) t) |
(if (<=.f64 (/.f64 x y) #s(literal -399999999999999966445568 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) (if (<=.f64 (/.f64 x y) #s(literal 3602879701896397/18014398509481984 binary64)) (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)))) |
(if (<=.f64 t #s(literal -5555296335638847/95780971304118053647396689196894323976171195136475136 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t)) (if (<=.f64 t #s(literal 146393360968959/2361183241434822606848 binary64)) (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t)))) |
(if (<=.f64 y #s(literal -6697692026289335/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952 binary64)) (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) (if (<=.f64 y #s(literal 8119040131286125/706003489677054374237277210551156965837838477962894381170850482715673457590299624976468480248807499242724466374570999144530824216469597736906638272121736526607699022870679030143158018123175881930939339869708632591433728 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y)))) (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t))) |
(fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) |
| Outputs |
|---|
(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) |
(fma.f64 (/.f64 x y) (-.f64 z t) t) |
(if (<=.f64 (/.f64 x y) #s(literal -399999999999999966445568 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) (if (<=.f64 (/.f64 x y) #s(literal 3602879701896397/18014398509481984 binary64)) (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)))) |
(if (<=.f64 (/.f64 x y) #s(literal -399999999999999966445568 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 x (-.f64 z t)) y)) (if (<=.f64 (/.f64 x y) #s(literal 3602879701896397/18014398509481984 binary64)) (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 x (-.f64 z t)) y)))) |
(if (<=.f64 t #s(literal -5555296335638847/95780971304118053647396689196894323976171195136475136 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t)) (if (<=.f64 t #s(literal 146393360968959/2361183241434822606848 binary64)) (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t)))) |
(if (<=.f64 y #s(literal -6697692026289335/9568131466127621947163770315237577352582483950433331955534014747297500715462012198465648064079848065788579276806882658480425438483841942548911565191978080929321047135323978360596199778018349602045952 binary64)) (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) (if (<=.f64 y #s(literal 8119040131286125/706003489677054374237277210551156965837838477962894381170850482715673457590299624976468480248807499242724466374570999144530824216469597736906638272121736526607699022870679030143158018123175881930939339869708632591433728 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y)))) (fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t))) |
(fma.f64 #s(approx (/ (- z t) y) (/.f64 z y)) x t) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) |
| 10 314× | lower-fma.f64 |
| 10 314× | lower-fma.f32 |
| 9 648× | lower-fma.f64 |
| 9 648× | lower-fma.f32 |
| 9 580× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 4659 |
| 1 | 345 | 4290 |
| 2 | 1096 | 3234 |
| 3 | 3343 | 3234 |
| 4 | 6456 | 3234 |
| 0 | 8209 | 3054 |
| 0 | 122 | 5955 |
| 1 | 398 | 5454 |
| 2 | 1277 | 4230 |
| 3 | 3844 | 4230 |
| 4 | 7110 | 4230 |
| 0 | 8090 | 4050 |
| 0 | 88 | 1245 |
| 1 | 280 | 1164 |
| 2 | 931 | 852 |
| 3 | 2950 | 852 |
| 4 | 5601 | 852 |
| 0 | 8095 | 816 |
| 0 | 29 | 161 |
| 0 | 44 | 159 |
| 1 | 160 | 159 |
| 2 | 1086 | 159 |
| 0 | 8617 | 158 |
| 0 | 8 | 22 |
| 0 | 12 | 22 |
| 1 | 49 | 22 |
| 2 | 400 | 22 |
| 3 | 5236 | 22 |
| 0 | 8258 | 21 |
| 0 | 21 | 92 |
| 0 | 31 | 90 |
| 1 | 120 | 90 |
| 2 | 786 | 90 |
| 0 | 9034 | 90 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 293 to 176 computations (39.9% saved)
Compiled 340 to 138 computations (59.4% saved)
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