
Time bar (total: 6.2s)
| 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)
| 690.0ms | 8 256× | 0 | valid |
ival-sub: 104.0ms (28.6% of total)ival-div: 93.0ms (25.6% of total)ival-mult: 85.0ms (23.4% of total)ival-add: 72.0ms (19.8% of total)ival-true: 7.0ms (1.9% of total)ival-assert: 4.0ms (1.1% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 31 | 1 | (-1.954872548197476e-149 -1.477759413301989e+281 2.606185787760175e+106 -2.1967576846229234e-257) | 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 | 4 | 0 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 8 | 0 |
| - | 0 | 248 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 8 | 0 | 0 |
| - | 0 | 0 | 248 |
| number | freq |
|---|---|
| 0 | 248 |
| 1 | 8 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 37.0ms | 512× | 0 | valid |
Compiled 65 to 28 computations (56.9% saved)
ival-sub: 6.0ms (37.7% of total)ival-div: 4.0ms (25.1% of total)ival-mult: 3.0ms (18.9% of total)ival-add: 2.0ms (12.6% 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 |
|---|---|---|
| ▶ | 96.9% | (+.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 | (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) | |
| accuracy | 7.326560706366899 | (*.f64 (/.f64 x y) (-.f64 z t)) |
| 30.0ms | 256× | 0 | valid |
Compiled 28 to 10 computations (64.3% saved)
ival-div: 7.0ms (43.9% of total)ival-sub: 3.0ms (18.8% of total)ival-add: 3.0ms (18.8% of total)ival-mult: 3.0ms (18.8% 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 | |
|---|---|---|---|---|
| 3.0ms | y | @ | -inf | ((+ (* (/ x y) (- z t)) t) (* (/ x y) (- z t)) (/ x y) (- z t)) |
| 2.0ms | y | @ | inf | ((+ (* (/ x y) (- z t)) t) (* (/ x y) (- z t)) (/ x y) (- z t)) |
| 2.0ms | 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 | x | @ | -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 |
|---|
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Compiled 9 151 to 1 118 computations (87.8% saved)
9 alts after pruning (9 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 486 | 9 | 495 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 487 | 9 | 496 |
| Status | Accuracy | Program |
|---|---|---|
| 92.1% | (fma.f64 (/.f64 (-.f64 z t) y) x t) | |
| ▶ | 96.9% | (fma.f64 (/.f64 x y) (-.f64 z t) t) |
| ▶ | 92.0% | (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) |
| 92.0% | (+.f64 (/.f64 (/.f64 (-.f64 z t) y) (pow.f64 x #s(literal -1 binary64))) t) | |
| ▶ | 97.1% | (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) |
| 72.2% | (+.f64 #s(approx (* (/ x y) (- z t)) (/.f64 (*.f64 z x) y)) t) | |
| ▶ | 56.2% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) |
| ▶ | 36.7% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) |
| 63.1% | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t)) |
Compiled 154 to 148 computations (3.9% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 128 | (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) | |
| cost-diff | 320 | (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z 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 |
| 1 372× | lower-fma.f64 |
| 640× | lower-*.f32 |
| 634× | lower-*.f64 |
| 510× | distribute-lft-in |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 135 |
| 0 | 39 | 134 |
| 1 | 66 | 130 |
| 2 | 146 | 130 |
| 3 | 448 | 129 |
| 4 | 1091 | 129 |
| 5 | 1743 | 129 |
| 6 | 2856 | 129 |
| 7 | 4037 | 129 |
| 8 | 4132 | 129 |
| 9 | 4153 | 129 |
| 10 | 4166 | 129 |
| 11 | 4166 | 129 |
| 0 | 4166 | 129 |
| 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 |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) |
(neg.f64 x) |
x |
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(-.f64 z t) |
z |
t |
| 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 z y) x)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 z y) x) |
(*.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 |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
(neg.f64 x) |
x |
(*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) |
(/.f64 (-.f64 t z) y) |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(-.f64 z t) |
z |
t |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 z t) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.197597509768442 | (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) | |
| accuracy | 5.063383731488512 | (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (-.f64 z t) | |
| accuracy | 1.963765415966051 | (fma.f64 (/.f64 x y) (-.f64 z t) t) | |
| accuracy | 0 | (-.f64 z t) | |
| accuracy | 0.01171875 | (*.f64 (-.f64 z t) x) | |
| accuracy | 5.674413646968331 | (/.f64 (*.f64 (-.f64 z t) x) y) | |
| accuracy | 24.226641255036807 | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 5.4122987218267715 | (/.f64 (*.f64 z x) y) | |
| accuracy | 38.014669770686716 | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) | |
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 0 | (-.f64 z t) | |
| accuracy | 0 | (+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) | |
| accuracy | 7.1874376631566665 | (/.f64 (-.f64 z t) (/.f64 y x)) |
| 53.0ms | 256× | 0 | valid |
Compiled 127 to 23 computations (81.9% saved)
ival-div: 14.0ms (46.8% of total)ival-mult: 9.0ms (30.1% of total)ival-add: 3.0ms (10% of total)ival-sub: 2.0ms (6.7% of total)ival-neg: 1.0ms (3.3% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 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 #s(literal -1 binary64) y) (-.f64 z t)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) (patch (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<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 (* -1 (/ z y)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ z y)) (/ t y)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ z y)) (/ t y)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ z y)) (/ t y)) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) (patch (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) (patch (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) (patch (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) (patch (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) (patch (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) 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>) () ())) ()) |
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#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 (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) (patch (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) 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 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) (patch (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) 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 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) (patch (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) 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 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) (patch (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 15.0ms | x | @ | 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) (* (/ -1 y) (- z t)) (+ (* (neg x) (* (/ -1 y) (- z t))) t) (neg x) (/ -1 y)) |
| 4.0ms | 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) (* (/ -1 y) (- z t)) (+ (* (neg x) (* (/ -1 y) (- z t))) t) (neg x) (/ -1 y)) |
| 3.0ms | t | @ | -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) (* (/ -1 y) (- z t)) (+ (* (neg x) (* (/ -1 y) (- z t))) t) (neg x) (/ -1 y)) |
| 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) (* (/ -1 y) (- z t)) (+ (* (neg x) (* (/ -1 y) (- z t))) t) (neg x) (/ -1 y)) |
| 2.0ms | 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) (* (/ -1 y) (- z t)) (+ (* (neg x) (* (/ -1 y) (- z t))) t) (neg x) (/ -1 y)) |
| 1× | egg-herbie |
| 9 816× | lower-fma.f64 |
| 9 816× | lower-fma.f32 |
| 3 014× | lower-*.f64 |
| 3 014× | lower-*.f32 |
| 1 004× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 124 | 4980 |
| 1 | 401 | 4581 |
| 2 | 1277 | 3465 |
| 3 | 3822 | 3465 |
| 4 | 7235 | 3465 |
| 0 | 8101 | 3285 |
| 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)) |
(* -1 (/ z y)) |
(+ (* -1 (/ z y)) (/ t y)) |
(+ (* -1 (/ z y)) (/ t y)) |
(+ (* -1 (/ z y)) (/ 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)) |
(* -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 y) |
(* t (+ (* -1 (/ z (* t y))) (/ 1 y))) |
(* t (+ (* -1 (/ z (* t y))) (/ 1 y))) |
(* t (+ (* -1 (/ 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))))) |
(* -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))) |
(/ t y) |
(* -1 (* t (- (/ z (* t y)) (/ 1 y)))) |
(* -1 (* t (- (/ z (* t y)) (/ 1 y)))) |
(* -1 (* t (- (/ 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 (/ (* 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 y) |
(+ (* -1 (/ z y)) (/ t y)) |
(+ (* -1 (/ z y)) (/ t y)) |
(+ (* -1 (/ z y)) (/ t 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)))) |
(* -1 (/ z y)) |
(* z (- (/ t (* y z)) (/ 1 y))) |
(* z (- (/ t (* y z)) (/ 1 y))) |
(* z (- (/ t (* y z)) (/ 1 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))))) |
(* -1 (/ z y)) |
(* -1 (* z (+ (* -1 (/ t (* y z))) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ t (* y z))) (/ 1 y)))) |
(* -1 (* z (+ (* -1 (/ t (* y z))) (/ 1 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 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) |
(* -1 (/ (- z t) y)) |
(* -1 (/ (- z t) y)) |
(* -1 (/ (- z t) y)) |
(* -1 (/ (- 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) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 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) |
(* -1 (/ (- z t) y)) |
(* -1 (/ (- z t) y)) |
(* -1 (/ (- z t) y)) |
(* -1 (/ (- z t) y)) |
t |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 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) |
(* -1 (/ (- z t) y)) |
(* -1 (/ (- z t) y)) |
(* -1 (/ (- z t) y)) |
(* -1 (/ (- z t) y)) |
t |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(+ t (/ (* x (- z t)) y)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 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)))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* 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))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* 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))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
| 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) |
(* -1 (/ z y)) |
(/.f64 (neg.f64 z) y) |
(+ (* -1 (/ z y)) (/ t y)) |
(/.f64 (-.f64 t z) y) |
(+ (* -1 (/ z y)) (/ t y)) |
(/.f64 (-.f64 t z) y) |
(+ (* -1 (/ z y)) (/ t y)) |
(/.f64 (-.f64 t z) 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) |
(* -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 y) |
(/.f64 t y) |
(* t (+ (* -1 (/ z (* t y))) (/ 1 y))) |
(/.f64 (-.f64 t z) y) |
(* t (+ (* -1 (/ z (* t y))) (/ 1 y))) |
(/.f64 (-.f64 t z) y) |
(* t (+ (* -1 (/ z (* t y))) (/ 1 y))) |
(/.f64 (-.f64 t z) 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) |
(* -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) |
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(/.f64 (-.f64 t z) y) |
(* -1 (/ (- z t) y)) |
(/.f64 (-.f64 t z) y) |
(/ (* 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) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) 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) |
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) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.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) |
(* -1 (/ (- z t) y)) |
(/.f64 (-.f64 t z) y) |
(* -1 (/ (- z t) y)) |
(/.f64 (-.f64 t z) y) |
(* -1 (/ (- z t) y)) |
(/.f64 (-.f64 t z) y) |
(* -1 (/ (- z t) y)) |
(/.f64 (-.f64 t z) 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) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) 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) |
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) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.f64 y x) |
(/ y x) |
(/.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) |
(* -1 (/ (- z t) y)) |
(/.f64 (-.f64 t z) y) |
(* -1 (/ (- z t) y)) |
(/.f64 (-.f64 t z) y) |
(* -1 (/ (- z t) y)) |
(/.f64 (-.f64 t z) y) |
(* -1 (/ (- z t) y)) |
(/.f64 (-.f64 t z) 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) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) y) |
(/ -1 y) |
(/.f64 #s(literal -1 binary64) 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) |
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) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 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 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) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 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)) 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) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
| 6 502× | lower-fma.f32 |
| 6 498× | lower-fma.f64 |
| 4 536× | lower-*.f32 |
| 4 530× | lower-*.f64 |
| 3 820× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 106 |
| 0 | 39 | 102 |
| 1 | 142 | 101 |
| 2 | 1083 | 101 |
| 0 | 8797 | 101 |
| 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 #s(literal -1 binary64) y) (-.f64 z t)) |
(fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) y) |
| Outputs |
|---|
#<batchref> |
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Compiled 35 090 to 2 928 computations (91.7% saved)
13 alts after pruning (10 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 104 | 10 | 2 114 |
| Fresh | 4 | 0 | 4 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 110 | 13 | 2 123 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.9% | (fma.f64 (/.f64 x y) (-.f64 z t) t) |
| 63.1% | (fma.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)) t) | |
| ✓ | 92.0% | (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) |
| ▶ | 72.2% | (+.f64 #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) t) |
| 55.8% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (fma.f64 (neg.f64 x) t (*.f64 x z)) y)) | |
| 25.0% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) | |
| ✓ | 36.7% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) |
| ▶ | 39.3% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.f64 y x))) |
| ▶ | 57.5% | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) |
| 37.2% | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) | |
| ▶ | 39.7% | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) |
| 36.7% | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (*.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y))) | |
| ▶ | 25.5% | #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) |
Compiled 179 to 188 computations (-5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y x) | |
| cost-diff | 0 | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.f64 y x))) | |
| cost-diff | 384 | (/.f64 z (/.f64 y x)) | |
| cost-diff | 0 | (-.f64 z t) | |
| cost-diff | 0 | (/.f64 (-.f64 z t) y) | |
| cost-diff | 0 | (*.f64 (/.f64 (-.f64 z t) y) x) | |
| cost-diff | 0 | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) | |
| 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 x) | |
| cost-diff | 0 | (/.f64 (*.f64 z x) y) | |
| cost-diff | 0 | #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) | |
| cost-diff | 0 | (+.f64 #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) t) |
| 1 440× | lower-fma.f64 |
| 1 440× | lower-fma.f32 |
| 672× | lower-*.f32 |
| 664× | lower-*.f64 |
| 624× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 181 |
| 0 | 44 | 181 |
| 1 | 72 | 181 |
| 2 | 109 | 181 |
| 3 | 190 | 181 |
| 4 | 296 | 181 |
| 5 | 457 | 181 |
| 6 | 936 | 181 |
| 7 | 1989 | 181 |
| 8 | 2966 | 181 |
| 9 | 3411 | 181 |
| 10 | 3470 | 181 |
| 11 | 3507 | 181 |
| 12 | 3508 | 181 |
| 13 | 3508 | 181 |
| 0 | 3508 | 177 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) t) |
#s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z x) |
z |
x |
y |
t |
#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 |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) |
(*.f64 (/.f64 (-.f64 z t) y) x) |
(/.f64 (-.f64 z t) y) |
(-.f64 z t) |
z |
t |
y |
x |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.f64 y x))) |
(/.f64 z (/.f64 y x)) |
z |
(/.f64 y x) |
y |
x |
| Outputs |
|---|
(+.f64 #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) t) |
(+.f64 #s(approx (/ (- z t) (/ y x)) (*.f64 (/.f64 x y) z)) t) |
#s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) |
#s(approx (/ (- z t) (/ y x)) (*.f64 (/.f64 x y) z)) |
(/.f64 (*.f64 z x) y) |
(*.f64 (/.f64 x y) z) |
(*.f64 z x) |
(*.f64 x z) |
z |
x |
y |
t |
#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 (+ (* (/ x y) (- z t)) t) #s(approx (/ (- z t) (/ y x)) (*.f64 (/.f64 (neg.f64 t) y) x))) |
#s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x)) |
#s(approx (/ (- z t) (/ y x)) (*.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 |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) |
(*.f64 (/.f64 (-.f64 z t) y) x) |
(/.f64 (-.f64 z t) y) |
(-.f64 z t) |
z |
t |
y |
x |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.f64 y x))) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) |
(/.f64 z (/.f64 y x)) |
(*.f64 (/.f64 x y) z) |
z |
(/.f64 y x) |
y |
x |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 y x) | |
| accuracy | 5.931775788209985 | (/.f64 z (/.f64 y x)) | |
| accuracy | 38.014669770686716 | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.f64 y x))) | |
| accuracy | 0 | (-.f64 z t) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 z t) y) | |
| accuracy | 5.359208253817513 | (*.f64 (/.f64 (-.f64 z t) y) x) | |
| accuracy | 24.226641255036807 | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 4.493737609604735 | (*.f64 (/.f64 (neg.f64 t) y) x) | |
| accuracy | 24.226641255036807 | #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) | |
| accuracy | 27.68698961582738 | #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 6.240642082007622 | (*.f64 (/.f64 x y) z) | |
| accuracy | 38.014669770686716 | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) | |
| accuracy | 0 | (+.f64 #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) t) | |
| accuracy | 0 | (*.f64 z x) | |
| accuracy | 5.4122987218267715 | (/.f64 (*.f64 z x) y) | |
| accuracy | 27.710182115684674 | #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) |
| 45.0ms | 256× | 0 | valid |
Compiled 129 to 24 computations (81.4% saved)
ival-div: 13.0ms (45.1% of total)ival-mult: 10.0ms (34.7% of total)ival-sub: 2.0ms (6.9% of total)ival-add: 2.0ms (6.9% of total)ival-neg: 1.0ms (3.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) t) (patch (+.f64 #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) t) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) (patch #s(approx (/ (- z t) (/ y x)) (/.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 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 #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (-.f64 z t) y) x) (patch (*.f64 (/.f64 (-.f64 z t) y) x) #<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 (/.f64 z (/.f64 y x)) (patch (/.f64 z (/.f64 y x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.f64 y x))) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.f64 y x))) #<representation binary64>) () ()) |
#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ()) |
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* x z) y) (taylor 0 t) (#s(alt (+.f64 #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) t) (patch (+.f64 #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (+.f64 #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) t) (patch (+.f64 #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (+.f64 #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) t) (patch (+.f64 #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) (taylor 0 t) (#s(alt (+.f64 #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) t) (patch (+.f64 #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor 0 t) (#s(alt #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) (patch #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t x) y)) (/ (* x z) y)) (taylor 0 t) (#s(alt #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) (patch #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) #<representation binary64>) () ())) ()) |
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#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>) () ())) ()) |
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#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>) () ())) ()) |
#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 (* -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 #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) #<representation binary64>) () ())) ()) |
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#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) y) x)) (patch #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 z t) y) x) (patch (*.f64 (/.f64 (-.f64 z t) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 z t) y) x) (patch (*.f64 (/.f64 (-.f64 z t) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 z t) y) x) (patch (*.f64 (/.f64 (-.f64 z t) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt (*.f64 (/.f64 (-.f64 z t) y) x) (patch (*.f64 (/.f64 (-.f64 z t) y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf x) (#s(alt (/.f64 z (/.f64 y x)) (patch (/.f64 z (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf x) (#s(alt (/.f64 z (/.f64 y x)) (patch (/.f64 z (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf x) (#s(alt (/.f64 z (/.f64 y x)) (patch (/.f64 z (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x z) y) (taylor -inf x) (#s(alt (/.f64 z (/.f64 y x)) (patch (/.f64 z (/.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.f64 y x))) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.f64 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 z (/.f64 y x))) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.f64 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 z (/.f64 y x))) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.f64 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 z (/.f64 y x))) (patch #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.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 (/ y x) (taylor -inf x) (#s(alt (/.f64 y x) (patch (/.f64 y x) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | t | @ | -inf | ((+ (/ (- z t) (/ y x)) t) (/ (- z t) (/ y x)) (/ (* z x) y) (* z x) (+ (* (/ 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) (+ (* (/ x y) (- z t)) t) (* (/ (- z t) y) x) (/ (- z t) y) (- z t) (/ z (/ y x)) (+ (* (/ x y) (- z t)) t) (/ y x) (neg t)) |
| 2.0ms | x | @ | 0 | ((+ (/ (- z t) (/ y x)) t) (/ (- z t) (/ y x)) (/ (* z x) y) (* z x) (+ (* (/ 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) (+ (* (/ x y) (- z t)) t) (* (/ (- z t) y) x) (/ (- z t) y) (- z t) (/ z (/ y x)) (+ (* (/ x y) (- z t)) t) (/ y x) (neg t)) |
| 2.0ms | y | @ | 0 | ((+ (/ (- z t) (/ y x)) t) (/ (- z t) (/ y x)) (/ (* z x) y) (* z x) (+ (* (/ 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) (+ (* (/ x y) (- z t)) t) (* (/ (- z t) y) x) (/ (- z t) y) (- z t) (/ z (/ y x)) (+ (* (/ x y) (- z t)) t) (/ y x) (neg t)) |
| 2.0ms | y | @ | inf | ((+ (/ (- z t) (/ y x)) t) (/ (- z t) (/ y x)) (/ (* z x) y) (* z x) (+ (* (/ 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) (+ (* (/ x y) (- z t)) t) (* (/ (- z t) y) x) (/ (- z t) y) (- z t) (/ z (/ y x)) (+ (* (/ x y) (- z t)) t) (/ y x) (neg t)) |
| 2.0ms | y | @ | -inf | ((+ (/ (- z t) (/ y x)) t) (/ (- z t) (/ y x)) (/ (* z x) y) (* z x) (+ (* (/ 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) (+ (* (/ x y) (- z t)) t) (* (/ (- z t) y) x) (/ (- z t) y) (- z t) (/ z (/ y x)) (+ (* (/ x y) (- z t)) t) (/ y x) (neg t)) |
| 1× | egg-herbie |
| 10 344× | lower-fma.f64 |
| 10 344× | lower-fma.f32 |
| 3 406× | lower-*.f64 |
| 3 406× | lower-*.f32 |
| 1 070× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 106 | 5802 |
| 1 | 335 | 5481 |
| 2 | 1120 | 4257 |
| 3 | 3483 | 4257 |
| 4 | 6574 | 4257 |
| 0 | 8219 | 4077 |
| 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)) |
(/ (* 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)) |
(/ 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)) |
(* -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 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))))) |
(* 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 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))))) |
(* -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 (/ (* 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 (- (/ 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) 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)) |
(* -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 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 (* -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) |
(* -1 t) |
(* -1 t) |
(* -1 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)) |
(/ (* 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))) |
(/ (* 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)) |
(+ 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 y)) |
(+ (* -1 (/ t y)) (/ z y)) |
(+ (* -1 (/ t y)) (/ z y)) |
(+ (* -1 (/ t y)) (/ z y)) |
(* -1 t) |
(- z t) |
(- z t) |
(- z t) |
(/ (* 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))) |
(/ (* 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) 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) |
(/ (* 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) 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 y) |
(* z (+ (* -1 (/ t (* y z))) (/ 1 y))) |
(* z (+ (* -1 (/ t (* y z))) (/ 1 y))) |
(* z (+ (* -1 (/ t (* y z))) (/ 1 y))) |
z |
(* z (+ 1 (* -1 (/ t z)))) |
(* z (+ 1 (* -1 (/ t z)))) |
(* z (+ 1 (* -1 (/ t z)))) |
(/ (* 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) |
(* -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) 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) |
(/ (* 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) 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 y) |
(* -1 (* z (- (/ t (* y z)) (/ 1 y)))) |
(* -1 (* z (- (/ t (* y z)) (/ 1 y)))) |
(* -1 (* z (- (/ t (* y z)) (/ 1 y)))) |
z |
(* -1 (* z (- (/ t z) 1))) |
(* -1 (* z (- (/ t z) 1))) |
(* -1 (* z (- (/ t z) 1))) |
(/ (* 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 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) 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) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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) |
(* -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 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) |
(/ (- z t) y) |
(/ (- z t) y) |
(/ (- z t) y) |
(/ (- 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) |
(/ 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 t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* 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) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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) |
(* -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 |
(+ 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) |
(/ (- z t) y) |
(/ (- z t) y) |
(/ (- z t) y) |
(/ (- 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)) |
(/ 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 t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* 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) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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) |
(* -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 |
(+ 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) |
(/ (- z t) y) |
(/ (- z t) y) |
(/ (- z t) y) |
(/ (- 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)) |
(/ 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 t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z 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) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t 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) |
(/ (* 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)))) |
(/ 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 t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- 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 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 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) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t 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) 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))) |
(/ 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 t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- 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) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t 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 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))))) |
(/ y x) |
(/ y x) |
(/ y x) |
(/ y x) |
| 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) |
(/ (* 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 (neg.f64 x) (/.f64 t y)) |
(* -1 (/ (* t x) y)) |
(*.f64 (neg.f64 x) (/.f64 t y)) |
(* -1 (/ (* t x) y)) |
(*.f64 (neg.f64 x) (/.f64 t y)) |
(* -1 (/ (* t x) y)) |
(*.f64 (neg.f64 x) (/.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 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) |
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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) |
(/ 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 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) |
(/.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) 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 (neg.f64 x) (/.f64 t y)) |
(* -1 (/ (* t x) y)) |
(*.f64 (neg.f64 x) (/.f64 t y)) |
(* -1 (/ (* t x) y)) |
(*.f64 (neg.f64 x) (/.f64 t y)) |
(* -1 (/ (* t x) y)) |
(*.f64 (neg.f64 x) (/.f64 t 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) |
(/.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 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) |
(* 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) 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) 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 (neg.f64 x) (/.f64 t y)) |
(* -1 (/ (* t x) y)) |
(*.f64 (neg.f64 x) (/.f64 t y)) |
(* -1 (/ (* t x) y)) |
(*.f64 (neg.f64 x) (/.f64 t y)) |
(* -1 (/ (* t x) y)) |
(*.f64 (neg.f64 x) (/.f64 t 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) 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 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 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) 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) 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 (neg.f64 x) (/.f64 t y)) |
(* -1 (/ (* t x) y)) |
(*.f64 (neg.f64 x) (/.f64 t y)) |
(* -1 (/ (* t x) y)) |
(*.f64 (neg.f64 x) (/.f64 t y)) |
(* -1 (/ (* t x) y)) |
(*.f64 (neg.f64 x) (/.f64 t 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 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))))) |
(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) |
| 4 988× | lower-fma.f64 |
| 4 988× | lower-fma.f32 |
| 4 578× | lower-*.f32 |
| 4 570× | lower-*.f64 |
| 4 408× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 164 |
| 0 | 44 | 164 |
| 1 | 143 | 164 |
| 2 | 1043 | 164 |
| 0 | 8600 | 160 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) t) |
#s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) |
(/.f64 (*.f64 z x) y) |
(*.f64 z x) |
#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) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) |
(*.f64 (/.f64 (-.f64 z t) y) x) |
(/.f64 (-.f64 z t) y) |
(-.f64 z t) |
(/.f64 z (/.f64 y x)) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.f64 y x))) |
(/.f64 y x) |
(neg.f64 t) |
| Outputs |
|---|
#<batchref> |
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Compiled 17 659 to 2 445 computations (86.2% saved)
14 alts after pruning (7 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 389 | 2 | 1 391 |
| Fresh | 0 | 5 | 5 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 390 | 14 | 1 404 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.9% | (fma.f64 (/.f64 x y) (-.f64 z t) t) |
| ▶ | 63.1% | (fma.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)) t) |
| ✓ | 92.0% | (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) |
| ▶ | 76.1% | (+.f64 #s(approx (/ (- z t) (/ y x)) (*.f64 (/.f64 x y) z)) t) |
| 55.8% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (fma.f64 (neg.f64 x) t (*.f64 x z)) y)) | |
| ▶ | 25.0% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) |
| ✓ | 36.7% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) |
| ✓ | 39.3% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.f64 y x))) |
| ✓ | 57.5% | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) |
| ▶ | 37.2% | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) |
| ✓ | 39.7% | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) |
| 36.7% | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (*.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y))) | |
| ✓ | 25.5% | #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) |
| ▶ | 25.7% | #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y)))) |
Compiled 167 to 175 computations (-4.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 t) | |
| cost-diff | 0 | #s(approx (- z t) (neg.f64 t)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | (fma.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)) 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 | (neg.f64 t) | |
| cost-diff | 0 | (*.f64 (neg.f64 t) (/.f64 x y)) | |
| cost-diff | 0 | #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y))) | |
| cost-diff | 0 | #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 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 x y) | |
| cost-diff | 0 | (*.f64 (/.f64 x y) z) | |
| cost-diff | 0 | #s(approx (/ (- z t) (/ y x)) (*.f64 (/.f64 x y) z)) | |
| cost-diff | 0 | (+.f64 #s(approx (/ (- z t) (/ y x)) (*.f64 (/.f64 x y) z)) t) |
| 1 680× | lower-fma.f32 |
| 1 678× | lower-fma.f64 |
| 832× | lower-*.f32 |
| 824× | lower-*.f64 |
| 774× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 192 |
| 0 | 39 | 192 |
| 1 | 71 | 192 |
| 2 | 105 | 192 |
| 3 | 181 | 192 |
| 4 | 266 | 192 |
| 5 | 416 | 192 |
| 6 | 691 | 192 |
| 7 | 1391 | 192 |
| 8 | 2720 | 192 |
| 9 | 3754 | 192 |
| 10 | 4324 | 192 |
| 11 | 4429 | 192 |
| 12 | 4445 | 192 |
| 13 | 4446 | 192 |
| 14 | 4458 | 192 |
| 15 | 4460 | 192 |
| 16 | 4460 | 192 |
| 0 | 4460 | 189 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(approx (/ (- z t) (/ y x)) (*.f64 (/.f64 x y) z)) t) |
#s(approx (/ (- z t) (/ y x)) (*.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
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) #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y)))) |
#s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y))) |
(*.f64 (neg.f64 t) (/.f64 x y)) |
(neg.f64 t) |
t |
(/.f64 x y) |
x |
y |
#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 x y) #s(approx (- z t) (neg.f64 t)) t) |
(/.f64 x y) |
x |
y |
#s(approx (- z t) (neg.f64 t)) |
(neg.f64 t) |
t |
| Outputs |
|---|
(+.f64 #s(approx (/ (- z t) (/ y x)) (*.f64 (/.f64 x y) z)) t) |
#s(approx (/ (- z t) (/ y x)) (*.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 x y) z) |
(/.f64 x y) |
x |
y |
z |
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) #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y)))) |
#s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (- z t) (/ y x)) (*.f64 (neg.f64 x) (/.f64 t y)))) |
#s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y))) |
#s(approx (/ (- z t) (/ y x)) (*.f64 (neg.f64 x) (/.f64 t y))) |
(*.f64 (neg.f64 t) (/.f64 x y)) |
(*.f64 (neg.f64 x) (/.f64 t y)) |
(neg.f64 t) |
t |
(/.f64 x y) |
x |
y |
#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 x y) #s(approx (- z t) (neg.f64 t)) t) |
(fma.f64 #s(approx (- z t) (neg.f64 t)) (/.f64 x y) t) |
(/.f64 x y) |
x |
y |
#s(approx (- z t) (neg.f64 t)) |
(neg.f64 t) |
t |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 1.963765415966051 | (fma.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)) t) | |
| accuracy | 32.493126364672605 | #s(approx (- z t) (neg.f64 t)) | |
| accuracy | 0.01171875 | (*.f64 #s(approx (- z t) (neg.f64 t)) x) | |
| accuracy | 5.674413646968331 | (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y) | |
| accuracy | 24.226641255036807 | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) | |
| accuracy | 32.493126364672605 | #s(approx (- z t) (neg.f64 t)) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 7.241809117473647 | (*.f64 (neg.f64 t) (/.f64 x y)) | |
| accuracy | 24.226641255036807 | #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y)))) | |
| accuracy | 27.68698961582738 | #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y))) | |
| accuracy | 0 | (/.f64 z y) | |
| accuracy | 4.39455384451456 | (*.f64 (/.f64 z y) x) | |
| accuracy | 38.014669770686716 | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 0 | (+.f64 #s(approx (/ (- z t) (/ y x)) (*.f64 (/.f64 x y) z)) t) | |
| accuracy | 6.240642082007622 | (*.f64 (/.f64 x y) z) | |
| accuracy | 27.710182115684674 | #s(approx (/ (- z t) (/ y x)) (*.f64 (/.f64 x y) z)) |
| 40.0ms | 256× | 0 | valid |
Compiled 129 to 20 computations (84.5% saved)
ival-div: 8.0ms (38.3% of total)ival-mult: 7.0ms (33.5% of total)ival-sub: 2.0ms (9.6% of total)ival-add: 2.0ms (9.6% of total)ival-neg: 1.0ms (4.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 #s(approx (/ (- z t) (/ y x)) (*.f64 (/.f64 x y) z)) t) (patch (+.f64 #s(approx (/ (- z t) (/ y x)) (*.f64 (/.f64 x y) z)) t) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- z t) (/ y x)) (*.f64 (/.f64 x y) z)) (patch #s(approx (/ (- z t) (/ y x)) (*.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) (*.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 (/.f64 z y) (patch (/.f64 z y) #<representation binary64>) () ()) |
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#s(alt (*.f64 (neg.f64 t) (/.f64 x y)) (patch (*.f64 (neg.f64 t) (/.f64 x y)) #<representation binary64>) () ()) |
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#s(alt (*.f64 #s(approx (- z t) (neg.f64 t)) x) (patch (*.f64 #s(approx (- z t) (neg.f64 t)) x) #<representation binary64>) () ()) |
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| Outputs |
|---|
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#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 (neg.f64 t) (/.f64 x y)))) (patch #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 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) #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y)))) (patch #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y))) (patch #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y))) (patch #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y))) (patch #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- z t)) y) (taylor -inf x) (#s(alt #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y))) (patch #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t x) y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 t) (/.f64 x y)) (patch (*.f64 (neg.f64 t) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t x) y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 t) (/.f64 x y)) (patch (*.f64 (neg.f64 t) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t x) y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 t) (/.f64 x y)) (patch (*.f64 (neg.f64 t) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t x) y)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 t) (/.f64 x y)) (patch (*.f64 (neg.f64 t) (/.f64 x y)) #<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 x y) #s(approx (- z t) (neg.f64 t)) t) (patch (fma.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 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) #s(approx (- z t) (neg.f64 t)) t) (patch (fma.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 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) #s(approx (- z t) (neg.f64 t)) t) (patch (fma.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 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) #s(approx (- z t) (neg.f64 t)) t) (patch (fma.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)) t) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | x | @ | -inf | ((+ (/ (- z t) (/ y x)) t) (/ (- z t) (/ y x)) (* (/ x y) z) (/ x y) (+ (* (/ x y) (- z t)) t) (* (/ z y) x) (/ z y) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (neg t) (/ x y)) (neg t) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (- z t) x) (- z t) (+ (* (/ x y) (- z t)) t)) |
| 1.0ms | y | @ | -inf | ((+ (/ (- z t) (/ y x)) t) (/ (- z t) (/ y x)) (* (/ x y) z) (/ x y) (+ (* (/ x y) (- z t)) t) (* (/ z y) x) (/ z y) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (neg t) (/ x y)) (neg t) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (- z t) x) (- z t) (+ (* (/ x y) (- z t)) t)) |
| 1.0ms | y | @ | 0 | ((+ (/ (- z t) (/ y x)) t) (/ (- z t) (/ y x)) (* (/ x y) z) (/ x y) (+ (* (/ x y) (- z t)) t) (* (/ z y) x) (/ z y) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (neg t) (/ x y)) (neg t) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (- z t) x) (- z t) (+ (* (/ x y) (- z t)) t)) |
| 1.0ms | x | @ | inf | ((+ (/ (- z t) (/ y x)) t) (/ (- z t) (/ y x)) (* (/ x y) z) (/ x y) (+ (* (/ x y) (- z t)) t) (* (/ z y) x) (/ z y) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (neg t) (/ x y)) (neg t) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (- z t) x) (- z t) (+ (* (/ x y) (- z t)) t)) |
| 1.0ms | x | @ | 0 | ((+ (/ (- z t) (/ y x)) t) (/ (- z t) (/ y x)) (* (/ x y) z) (/ x y) (+ (* (/ x y) (- z t)) t) (* (/ z y) x) (/ z y) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (neg t) (/ x y)) (neg t) (+ (* (/ x y) (- z t)) t) (/ (* (- z t) x) y) (* (- z t) x) (- z t) (+ (* (/ x y) (- z t)) t)) |
| 1× | egg-herbie |
| 9 580× | lower-fma.f64 |
| 9 580× | lower-fma.f32 |
| 3 392× | lower-*.f64 |
| 3 392× | lower-*.f32 |
| 1 076× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 5544 |
| 1 | 344 | 5133 |
| 2 | 1093 | 3909 |
| 3 | 3335 | 3909 |
| 4 | 6437 | 3909 |
| 0 | 8170 | 3729 |
| 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)) |
(/ (* 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) |
(* -1 t) |
(* -1 t) |
(* -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) |
(+ (* -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)) |
(* 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)))) |
(* 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) |
(* -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 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 (- (/ 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 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) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) 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 (/ (* 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))) |
(+ 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)) |
(/ (* 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))) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x 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))) |
(* -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 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))) |
(/ (* 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) 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) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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) |
(* 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)))) |
(/ (* 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)))) |
(/ (* 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) 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) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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) |
(* -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))))) |
(/ (* 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))))) |
(/ (* 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) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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 t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t 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) |
(/ (* x (- z t)) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (+ (* t y) (* x (- z t))) y) |
(/ (+ (* t y) (* x (- z t))) 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 z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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 t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t 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)) |
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 z) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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 t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(/ (* x (- z t)) y) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t 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)) |
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) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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) 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) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t 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 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 (- (/ 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) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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) 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) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t 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)) |
(* 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 (- 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) y) |
(/ (* x z) y) |
(/ (* x z) y) |
(/ (* x z) 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) 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) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t x) y)) |
(* -1 (/ (* t 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 (- 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))))) |
| Outputs |
|---|
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (-.f64 z t) (/.f64 x y) 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) y) |
(/.f64 (*.f64 z x) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (-.f64 z t) (/.f64 x y) 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) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (-.f64 z t) (/.f64 x y) 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) |
(/ (* x z) y) |
(/.f64 (*.f64 z x) y) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(+ (* t (+ 1 (* -1 (/ x y)))) (/ (* x z) y)) |
(fma.f64 (-.f64 z t) (/.f64 x y) 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 z t) (/.f64 x y) t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (-.f64 z t) (/.f64 x y) 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 z t) (/.f64 x y) t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (-.f64 z t) (/.f64 x y) 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 z t) (/.f64 x y) t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (-.f64 z t) (/.f64 x y) 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) |
(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 z t) (/.f64 x y) t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(* t (+ 1 (+ (* -1 (/ x y)) (/ (* x z) (* t y))))) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
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(/.f64 (*.f64 (-.f64 z t) x) y) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(* x (- (+ (/ t x) (/ z y)) (/ t y))) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(/ (* x (- z t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (-.f64 z t) (/.f64 x y) 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) |
(/.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 z t) (/.f64 x y) t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (-.f64 z t) (/.f64 x y) 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 t)) y) |
(/.f64 (*.f64 (-.f64 z t) x) y) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (-.f64 z t) (/.f64 x y) 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 z t) (/.f64 x y) t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (-.f64 z t) (/.f64 x y) 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 z t) (/.f64 x y) t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
(* -1 (* x (+ (* -1 (/ t x)) (* -1 (/ (- z t) y))))) |
(fma.f64 (-.f64 z t) (/.f64 x y) t) |
| 5 326× | lower-*.f32 |
| 5 318× | lower-*.f64 |
| 4 986× | lower-fma.f32 |
| 4 984× | lower-fma.f64 |
| 4 694× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 160 |
| 0 | 39 | 160 |
| 1 | 146 | 160 |
| 2 | 1148 | 160 |
| 0 | 8193 | 157 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 #s(approx (/ (- z t) (/ y x)) (*.f64 (/.f64 x y) z)) t) |
#s(approx (/ (- z t) (/ y x)) (*.f64 (/.f64 x y) z)) |
(*.f64 (/.f64 x y) z) |
(/.f64 x y) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) |
(*.f64 (/.f64 z y) x) |
(/.f64 z y) |
#s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y)))) |
#s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y))) |
(*.f64 (neg.f64 t) (/.f64 x y)) |
(neg.f64 t) |
#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 x y) #s(approx (- z t) (neg.f64 t)) t) |
| Outputs |
|---|
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Compiled 11 879 to 1 261 computations (89.4% saved)
14 alts after pruning (2 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 117 | 0 | 1 117 |
| Fresh | 0 | 2 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 117 | 14 | 1 131 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.9% | (fma.f64 (/.f64 x y) (-.f64 z t) t) |
| ✓ | 63.1% | (fma.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)) t) |
| ✓ | 92.0% | (fma.f64 (neg.f64 x) (*.f64 (/.f64 #s(literal -1 binary64) y) (-.f64 z t)) t) |
| ✓ | 76.1% | (+.f64 #s(approx (/ (- z t) (/ y x)) (*.f64 (/.f64 x y) z)) t) |
| 55.8% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (fma.f64 (neg.f64 x) t (*.f64 x z)) y)) | |
| ✓ | 25.0% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 #s(approx (- z t) (neg.f64 t)) x) y)) |
| ✓ | 36.7% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 z x) y)) |
| ✓ | 39.3% | #s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.f64 y x))) |
| ✓ | 57.5% | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) |
| ✓ | 37.2% | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 z y) x)) |
| ✓ | 39.7% | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) |
| 36.7% | #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (*.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y))) | |
| ✓ | 25.5% | #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (/.f64 (neg.f64 t) y) x))) |
| ✓ | 25.7% | #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y)))) |
Compiled 289 to 182 computations (37% 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)) |
#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 #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) y) x)) |
#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 #s(approx (/ (- z t) (/ y x)) (*.f64 (/.f64 x y) z)) t) |
(+.f64 #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) t) |
(fma.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)) t) |
(fma.f64 (/.f64 x y) (-.f64 z t) t) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (*.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (fma.f64 (neg.f64 x) t (*.f64 x z)) y)) |
(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) |
(+.f64 (/.f64 (/.f64 (-.f64 z t) y) (pow.f64 x #s(literal -1 binary64))) t) |
| Outputs |
|---|
(+.f64 (/.f64 (-.f64 z t) (/.f64 y x)) t) |
6 calls:
| 8.0ms | t |
| 7.0ms | z |
| 7.0ms | y |
| 7.0ms | x |
| 6.0ms | (/.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 1 | x |
| 97.1% | 1 | y |
| 97.1% | 1 | z |
| 97.1% | 1 | t |
| 97.1% | 1 | (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
| 97.1% | 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)) |
#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 #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) y) x)) |
#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 #s(approx (/ (- z t) (/ y x)) (*.f64 (/.f64 x y) z)) t) |
(+.f64 #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) t) |
(fma.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)) t) |
(fma.f64 (/.f64 x y) (-.f64 z t) t) |
(fma.f64 (/.f64 (-.f64 z t) y) x t) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 z (/.f64 y x))) |
(+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (*.f64 (neg.f64 x) z) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (fma.f64 (neg.f64 x) t (*.f64 x z)) y)) |
(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:
| 60.0ms | (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
| 6.0ms | t |
| 6.0ms | z |
| 6.0ms | y |
| 6.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 1 | x |
| 96.9% | 1 | y |
| 96.9% | 1 | z |
| 96.9% | 1 | t |
| 96.9% | 1 | (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
| 96.9% | 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)) |
#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 #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) y) x)) |
#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 #s(approx (/ (- z t) (/ y x)) (*.f64 (/.f64 x y) z)) t) |
(+.f64 #s(approx (/ (- z t) (/ y x)) (/.f64 (*.f64 z x) y)) t) |
(fma.f64 (/.f64 x y) #s(approx (- z t) (neg.f64 t)) t) |
| Outputs |
|---|
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) |
(+.f64 #s(approx (/ (- z t) (/ y x)) (*.f64 (/.f64 x y) z)) t) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) |
6 calls:
| 8.0ms | y |
| 7.0ms | (/.f64 x y) |
| 4.0ms | z |
| 4.0ms | t |
| 4.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.1% | 3 | y |
| 86.5% | 3 | z |
| 87.1% | 3 | t |
| 86.3% | 3 | x |
| 87.0% | 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)) |
#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 #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) y) x)) |
#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) |
| Outputs |
|---|
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) |
(+.f64 #s(approx (* (/ x y) (- z t)) (/.f64 (*.f64 z x) y)) t) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) |
1 calls:
| 4.0ms | (/.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 93.0% | 3 | (/.f64 x y) |
Compiled 3 to 5 computations (-66.7% 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)) |
#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 #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) y) x)) |
#s(approx (+ (* (/ x y) (- z t)) t) (/.f64 (*.f64 (-.f64 z t) x) y)) |
| Outputs |
|---|
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) |
#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) y) x)) |
5 calls:
| 4.0ms | (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
| 4.0ms | t |
| 3.0ms | z |
| 3.0ms | x |
| 3.0ms | (/.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 80.4% | 3 | x |
| 74.4% | 3 | z |
| 74.9% | 3 | (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
| 81.2% | 3 | t |
| 85.7% | 3 | (/.f64 x y) |
Compiled 15 to 25 computations (-66.7% 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)) |
#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 #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)) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) |
#s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t)) |
4 calls:
| 4.0ms | t |
| 3.0ms | x |
| 3.0ms | y |
| 3.0ms | (/.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 71.1% | 4 | x |
| 78.6% | 3 | t |
| 70.7% | 5 | y |
| 72.2% | 4 | (/.f64 x y) |
Compiled 6 to 17 computations (-183.3% 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)) |
#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 #s(approx (- z t) (neg.f64 t)) x) y)) |
| Outputs |
|---|
#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) (*.f64 (/.f64 x y) z)) |
#s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y)))) |
6 calls:
| 3.0ms | (/.f64 x y) |
| 3.0ms | z |
| 3.0ms | t |
| 3.0ms | x |
| 3.0ms | (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.7% | 1 | y |
| 39.7% | 1 | x |
| 41.4% | 2 | (/.f64 x y) |
| 50.1% | 3 | z |
| 43.2% | 2 | (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
| 50.1% | 3 | t |
Compiled 16 to 29 computations (-81.3% saved)
Total -5.1b remaining (-13.2%)
Threshold costs -5.1b (-13.2%)
| 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)) |
5 calls:
| 7.0ms | y |
| 2.0ms | t |
| 2.0ms | z |
| 2.0ms | (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
| 2.0ms | (/.f64 x y) |
| Accuracy | Segments | Branch |
|---|---|---|
| 39.7% | 1 | y |
| 39.7% | 1 | (/.f64 x y) |
| 39.7% | 1 | (+.f64 (*.f64 (/.f64 x y) (-.f64 z t)) t) |
| 39.7% | 1 | z |
| 39.7% | 1 | t |
Compiled 15 to 25 computations (-66.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.01762018740824252 | 4030663310.7831736 |
| 0.0ms | -109719882.68307985 | -0.914889335141239 |
Compiled 12 to 15 computations (-25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.7624853641091964e-10 | 2.409980266478776e-7 |
| 0.0ms | -0.914889335141239 | -0.12328200192409015 |
Compiled 12 to 15 computations (-25% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.041286366247494e-40 | 1.8622870174610265e-38 |
| 0.0ms | -0.914889335141239 | -0.12328200192409015 |
Compiled 12 to 15 computations (-25% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 6.518452285466512e-31 | 2.1191640341503247e-26 |
| 13.0ms | -4.001510450809143e-104 | -4.905498481439892e-111 |
| 14.0ms | 272× | 0 | valid |
Compiled 250 to 321 computations (-28.4% saved)
ival-div: 2.0ms (29.3% of total)ival-mult: 2.0ms (29.3% of total)ival-sub: 1.0ms (14.7% of total)ival-add: 1.0ms (14.7% 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 |
|---|---|---|
| 7.0ms | 6.244498802060485e+96 | 1.4258065208419427e+97 |
| 7.0ms | -1.6991315609378902e+51 | -5.36099355231292e+50 |
| 8.0ms | 160× | 0 | valid |
Compiled 152 to 195 computations (-28.3% saved)
ival-div: 1.0ms (25.3% of total)ival-sub: 1.0ms (25.3% of total)ival-add: 1.0ms (25.3% of total)ival-mult: 1.0ms (25.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 22× | *-commutative-binary64-*.f64 |
| 20× | +-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 | 65 | 345 |
| 1 | 84 | 345 |
| 2 | 99 | 345 |
| 3 | 110 | 345 |
| 4 | 116 | 345 |
| 5 | 118 | 345 |
| 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 -100000000 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) (if (<=.f64 (/.f64 x y) #s(literal 5764607523034235/288230376151711744 binary64)) (+.f64 #s(approx (/ (- z t) (/ y x)) (*.f64 (/.f64 x y) z)) t) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)))) |
(if (<=.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) (if (<=.f64 (/.f64 x y) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (+.f64 #s(approx (* (/ x y) (- z t)) (/.f64 (*.f64 z x) y)) t) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)))) |
(if (<=.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) (if (<=.f64 (/.f64 x y) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #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) y) x)))) |
(if (<=.f64 t #s(literal -3140015851753681/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t)) (if (<=.f64 t #s(literal 677942654035331/713623846352979940529142984724747568191373312 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t)))) |
(if (<=.f64 t #s(literal -650000000000000028824316532957955007295286994272256 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y)))) (if (<=.f64 t #s(literal 6999999999999999756176080908303330550388436153587146852281929026204230911672310587175989351022592 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) #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) (*.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 -100000000 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) (if (<=.f64 (/.f64 x y) #s(literal 5764607523034235/288230376151711744 binary64)) (+.f64 #s(approx (/ (- z t) (/ y x)) (*.f64 (/.f64 x y) z)) t) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)))) |
(if (<=.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) (if (<=.f64 (/.f64 x y) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (+.f64 #s(approx (* (/ x y) (- z t)) (/.f64 (*.f64 z x) y)) t) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)))) |
(if (<=.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) (if (<=.f64 (/.f64 x y) #s(literal 7737125245533627/38685626227668133590597632 binary64)) (+.f64 #s(approx (* (/ x y) (- z t)) (/.f64 (*.f64 x z) y)) t) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)))) |
(if (<=.f64 (/.f64 x y) #s(literal -1/2 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 (-.f64 z t) y) x)) (if (<=.f64 (/.f64 x y) #s(literal 6129982163463555/12259964326927110866866776217202473468949912977468817408 binary64)) #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) y) x)))) |
(if (<=.f64 t #s(literal -3140015851753681/82631996098781074868989413504096379978550585370535152410581099409300723904538918228148651304964410605948901503127919788032 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t)) (if (<=.f64 t #s(literal 677942654035331/713623846352979940529142984724747568191373312 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (-.f64 #s(literal 1 binary64) (/.f64 x y)) t)))) |
(if (<=.f64 t #s(literal -650000000000000028824316532957955007295286994272256 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) #s(approx (/ (* (- z t) x) y) (*.f64 (neg.f64 t) (/.f64 x y)))) (if (<=.f64 t #s(literal 6999999999999999756176080908303330550388436153587146852281929026204230911672310587175989351022592 binary64)) #s(approx (+ (* (/ x y) (- z t)) t) (*.f64 (/.f64 x y) z)) #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) (*.f64 (/.f64 x y) z)) |
| 10 314× | lower-fma.f64 |
| 10 314× | lower-fma.f32 |
| 9 816× | lower-fma.f64 |
| 9 816× | lower-fma.f32 |
| 6 502× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 25 | 106 |
| 0 | 39 | 102 |
| 1 | 142 | 101 |
| 2 | 1083 | 101 |
| 0 | 8797 | 101 |
| 0 | 88 | 1245 |
| 1 | 280 | 1164 |
| 2 | 931 | 852 |
| 3 | 2950 | 852 |
| 4 | 5601 | 852 |
| 0 | 8095 | 816 |
| 0 | 8 | 22 |
| 0 | 12 | 22 |
| 1 | 49 | 22 |
| 2 | 400 | 22 |
| 3 | 5236 | 22 |
| 0 | 8258 | 21 |
| 0 | 31 | 164 |
| 0 | 44 | 164 |
| 1 | 143 | 164 |
| 2 | 1043 | 164 |
| 0 | 8600 | 160 |
| 0 | 124 | 4980 |
| 1 | 401 | 4581 |
| 2 | 1277 | 3465 |
| 3 | 3822 | 3465 |
| 4 | 7235 | 3465 |
| 0 | 8101 | 3285 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node 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 |
Compiled 373 to 230 computations (38.3% saved)
Compiled 470 to 164 computations (65.1% saved)
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