
Time bar (total: 8.1s)
| 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 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 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 |
| 50% | 49.9% | 49.9% | 0.2% | 0% | 0% | 0% | 7 |
| 50% | 49.9% | 49.9% | 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 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 11 |
| 75% | 74.9% | 25% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 11 to 10 computations (9.1% saved)
| 531.0ms | 8 256× | 0 | valid |
ival-mult: 138.0ms (43.2% of total)ival-div: 66.0ms (20.7% of total)ival-add: 58.0ms (18.2% of total)ival-sub: 49.0ms (15.4% of total)ival-true: 6.0ms (1.9% of total)ival-assert: 3.0ms (0.9% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 16 | 0 | - | 1 | (3.0139585431578285e-17 1.1520949966966388e-32 1.3385750084894792e-293 -2.869322777495309e-162) | (/.f64 (*.f64 (-.f64 y x) z) t) |
| 0 | 0 | - | 0 | - | (-.f64 y x) |
| 0 | 0 | - | 0 | - | (*.f64 (-.f64 y x) z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 (-.f64 y x) z) t) | o/n | 13 | 0 |
| ↳ | (*.f64 (-.f64 y x) z) | overflow | 50 | |
/.f64 | (/.f64 (*.f64 (-.f64 y x) z) t) | u/n | 2 | 0 |
| ↳ | (*.f64 (-.f64 y x) z) | underflow | 7 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 14 | 0 |
| - | 1 | 241 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 14 | 0 | 0 |
| - | 1 | 0 | 241 |
| number | freq |
|---|---|
| 0 | 241 |
| 1 | 15 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 33.0ms | 512× | 0 | valid |
Compiled 69 to 28 computations (59.4% saved)
ival-div: 4.0ms (31% of total)ival-sub: 3.0ms (23.2% of total)ival-mult: 3.0ms (23.2% of total)ival-add: 2.0ms (15.5% 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 |
| 1 238× | unsub-neg |
| 944× | sub-neg |
| 780× | associate-/r* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 50 | 138 |
| 1 | 126 | 126 |
| 2 | 346 | 126 |
| 3 | 1060 | 126 |
| 4 | 3589 | 126 |
| 5 | 6530 | 126 |
| 6 | 7906 | 126 |
| 0 | 8 | 9 |
| 0 | 12 | 9 |
| 1 | 18 | 9 |
| 2 | 32 | 9 |
| 3 | 61 | 9 |
| 4 | 128 | 9 |
| 5 | 219 | 9 |
| 6 | 369 | 9 |
| 7 | 644 | 9 |
| 8 | 1113 | 9 |
| 9 | 2052 | 9 |
| 10 | 2276 | 9 |
| 11 | 2322 | 9 |
| 12 | 2339 | 9 |
| 13 | 2340 | 9 |
| 14 | 2340 | 9 |
| 0 | 2340 | 8 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) |
| Outputs |
|---|
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
Compiled 9 to 8 computations (11.1% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 94.7% | (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) 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 y x) | |
| cost-diff | 0 | (*.f64 (-.f64 y x) z) | |
| cost-diff | 0 | (/.f64 (*.f64 (-.f64 y x) z) t) | |
| cost-diff | 128 | (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) |
| 1 328× | lower-fma.f64 |
| 1 328× | lower-fma.f32 |
| 592× | lower-*.f32 |
| 590× | lower-*.f64 |
| 292× | associate-*l* |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 28 |
| 0 | 12 | 28 |
| 1 | 18 | 28 |
| 2 | 32 | 28 |
| 3 | 61 | 28 |
| 4 | 128 | 28 |
| 5 | 219 | 28 |
| 6 | 369 | 28 |
| 7 | 644 | 28 |
| 8 | 1113 | 28 |
| 9 | 2052 | 28 |
| 10 | 2276 | 28 |
| 11 | 2322 | 28 |
| 12 | 2339 | 28 |
| 13 | 2340 | 28 |
| 14 | 2340 | 28 |
| 0 | 2340 | 27 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) |
x |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(*.f64 (-.f64 y x) z) |
(-.f64 y x) |
y |
z |
t |
| Outputs |
|---|
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
x |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(*.f64 (/.f64 (-.f64 y x) t) z) |
(*.f64 (-.f64 y x) z) |
(*.f64 z (-.f64 y x)) |
(-.f64 y x) |
y |
z |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0.0078125 | (*.f64 (-.f64 y x) z) | |
| accuracy | 0.01171875 | (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) | |
| accuracy | 3.6812893542638534 | (/.f64 (*.f64 (-.f64 y x) z) t) |
| 14.0ms | 256× | 0 | valid |
Compiled 30 to 10 computations (66.7% saved)
ival-div: 2.0ms (33.1% of total)ival-mult: 2.0ms (33.1% of total)ival-sub: 1.0ms (16.6% of total)ival-add: 1.0ms (16.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ()) |
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf t) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* z (- y x)) t)) (taylor inf t) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* z (- y x)) t)) (taylor inf t) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* z (- y x)) t)) (taylor inf t) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor inf t) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor inf t) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor inf t) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor inf t) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt x (taylor -inf t) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* z (- y x)) t)) (taylor -inf t) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* z (- y x)) t)) (taylor -inf t) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* z (- y x)) t)) (taylor -inf t) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor -inf t) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor -inf t) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor -inf t) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor -inf t) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt x (taylor 0 z) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (- (/ y t) (/ x t)))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (- (/ y t) (/ x t)))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* z (- (/ y t) (/ x t)))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 z) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 z) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 z) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 z) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y x)) (taylor 0 z) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y x)) (taylor 0 z) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y x)) (taylor 0 z) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y x)) (taylor 0 z) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ y t) (/ x t))) (taylor inf z) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ y t)) (/ x t))) (taylor inf z) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ y t)) (/ x t))) (taylor inf z) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (+ (/ x z) (/ y t)) (/ x t))) (taylor inf z) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor inf z) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor inf z) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor inf z) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor inf z) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y x)) (taylor inf z) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y x)) (taylor inf z) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y x)) (taylor inf z) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y x)) (taylor inf z) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor -inf z) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) (taylor -inf z) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) (taylor -inf z) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) (taylor -inf z) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor -inf z) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor -inf z) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor -inf z) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor -inf z) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y x)) (taylor -inf z) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y x)) (taylor -inf z) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y x)) (taylor -inf z) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y x)) (taylor -inf z) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ x (* -1 (/ (* x z) t))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) (taylor 0 y) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) t)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x z) t)) (/ (* y z) t)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x z) t)) (/ (* y z) t)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x z) t)) (/ (* y z) t)) (taylor 0 y) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor 0 y) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* y z)) (taylor 0 y) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* y z)) (taylor 0 y) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* y z)) (taylor 0 y) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (- y x) (taylor 0 y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor inf y) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) (taylor inf y) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) (taylor inf y) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) (taylor inf y) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ (* x z) (* t y))) (/ z t))) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ (* x z) (* t y))) (/ z t))) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ (* -1 (/ (* x z) (* t y))) (/ z t))) (taylor inf y) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf y) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1 (/ (* x z) y)))) (taylor inf y) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1 (/ (* x z) y)))) (taylor inf y) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1 (/ (* x z) y)))) (taylor inf y) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ x y)))) (taylor inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) (taylor -inf y) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) (taylor -inf y) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (/ (* x z) y)))) (taylor -inf y) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (/ (* x z) y)))) (taylor -inf y) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (/ (* x z) y)))) (taylor -inf y) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ x y) 1))) (taylor -inf y) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) (taylor 0 x) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x z) t)) (/ (* y z) t)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x z) t)) (/ (* y z) t)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* x z) t)) (/ (* y z) t)) (taylor 0 x) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 x) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* y z)) (taylor 0 x) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* y z)) (taylor 0 x) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* x z)) (* y z)) (taylor 0 x) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 x)) (taylor 0 x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (* -1 (/ z t)))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) (taylor inf x) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) t)) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) (taylor inf x) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor inf x) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 z) (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 z) (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ (* -1 z) (/ (* y z) x))) (taylor inf x) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* x (- (/ y x) 1)) (taylor inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z t) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (patch (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) t)) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 (-.f64 y x) z) t) (patch (/.f64 (*.f64 (-.f64 y x) z) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ z (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ z (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ z (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt (*.f64 (-.f64 y x) z) (patch (*.f64 (-.f64 y x) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | x | @ | -inf | ((+ x (/ (* (- y x) z) t)) (/ (* (- y x) z) t) (* (- y x) z) (- y x)) |
| 1.0ms | z | @ | inf | ((+ x (/ (* (- y x) z) t)) (/ (* (- y x) z) t) (* (- y x) z) (- y x)) |
| 1.0ms | y | @ | 0 | ((+ x (/ (* (- y x) z) t)) (/ (* (- y x) z) t) (* (- y x) z) (- y x)) |
| 1.0ms | z | @ | -inf | ((+ x (/ (* (- y x) z) t)) (/ (* (- y x) z) t) (* (- y x) z) (- y x)) |
| 1.0ms | y | @ | -inf | ((+ x (/ (* (- y x) z) t)) (/ (* (- y x) z) t) (* (- y x) z) (- y x)) |
| 1× | egg-herbie |
| 9 818× | lower-fma.f64 |
| 9 818× | lower-fma.f32 |
| 3 488× | lower-*.f64 |
| 3 488× | lower-*.f32 |
| 1 118× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 105 | 954 |
| 1 | 344 | 951 |
| 2 | 1090 | 951 |
| 3 | 3408 | 951 |
| 4 | 6453 | 951 |
| 0 | 8230 | 915 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* z (- y x)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
x |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
x |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
x |
(+ x (* z (- (/ y t) (/ x t)))) |
(+ x (* z (- (/ y t) (/ x t)))) |
(+ x (* z (- (/ y t) (/ x t)))) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(* z (- y x)) |
(* z (- y x)) |
(* z (- y x)) |
(* z (- y x)) |
(* z (- (/ y t) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(* z (- y x)) |
(* z (- y x)) |
(* z (- y x)) |
(* z (- y x)) |
(/ (* z (- y x)) t) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(* z (- y x)) |
(* z (- y x)) |
(* z (- y x)) |
(* z (- y x)) |
(+ x (* -1 (/ (* x z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(* -1 (/ (* x z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(* -1 (* x z)) |
(+ (* -1 (* x z)) (* y z)) |
(+ (* -1 (* x z)) (* y z)) |
(+ (* -1 (* x z)) (* y z)) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
(/ (* y z) t) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(/ (* y z) t) |
(* y (+ (* -1 (/ (* x z) (* t y))) (/ z t))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (/ z t))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (/ z t))) |
(* y z) |
(* y (+ z (* -1 (/ (* x z) y)))) |
(* y (+ z (* -1 (/ (* x z) y)))) |
(* y (+ z (* -1 (/ (* x z) y)))) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(/ (* y z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(/ (* y z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ (* x z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* x z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* x z) y)))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(/ (* y z) t) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(* y z) |
(+ (* -1 (* x z)) (* y z)) |
(+ (* -1 (* x z)) (* y z)) |
(+ (* -1 (* x z)) (* y z)) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(* x (+ 1 (* -1 (/ z t)))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* -1 (/ (* x z) t)) |
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) |
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) |
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) |
(* -1 (* x z)) |
(* x (+ (* -1 z) (/ (* y z) x))) |
(* x (+ (* -1 z) (/ (* y z) x))) |
(* x (+ (* -1 z) (/ (* y z) x))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* -1 (* x (- (/ z t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (/ (* x z) t)) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(* -1 (* x z)) |
(* -1 (* x (+ z (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ z (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ z (* -1 (/ (* y z) x))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
| Outputs |
|---|
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
x |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
x |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
x |
(+ x (* z (- (/ y t) (/ x t)))) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(+ x (* z (- (/ y t) (/ x t)))) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(+ x (* z (- (/ y t) (/ x t)))) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* z (- y x)) |
(*.f64 (-.f64 y x) z) |
(* z (- y x)) |
(*.f64 (-.f64 y x) z) |
(* z (- y x)) |
(*.f64 (-.f64 y x) z) |
(* z (- y x)) |
(*.f64 (-.f64 y x) z) |
(* z (- (/ y t) (/ x t))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* z (- y x)) |
(*.f64 (-.f64 y x) z) |
(* z (- y x)) |
(*.f64 (-.f64 y x) z) |
(* z (- y x)) |
(*.f64 (-.f64 y x) z) |
(* z (- y x)) |
(*.f64 (-.f64 y x) z) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* z (- y x)) |
(*.f64 (-.f64 y x) z) |
(* z (- y x)) |
(*.f64 (-.f64 y x) z) |
(* z (- y x)) |
(*.f64 (-.f64 y x) z) |
(* z (- y x)) |
(*.f64 (-.f64 y x) z) |
(+ x (* -1 (/ (* x z) t))) |
(-.f64 x (*.f64 (/.f64 x t) z)) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(* -1 (/ (* x z) t)) |
(*.f64 (/.f64 (neg.f64 x) t) z) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(+ (* -1 (* x z)) (* y z)) |
(*.f64 (-.f64 y x) z) |
(+ (* -1 (* x z)) (* y z)) |
(*.f64 (-.f64 y x) z) |
(+ (* -1 (* x z)) (* y z)) |
(*.f64 (-.f64 y x) z) |
(* -1 x) |
(neg.f64 x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(- y x) |
(-.f64 y x) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(* y (+ (* -1 (/ (* x z) (* t y))) (/ z t))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* y (+ (* -1 (/ (* x z) (* t y))) (/ z t))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* y (+ (* -1 (/ (* x z) (* t y))) (/ z t))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* y z) |
(*.f64 y z) |
(* y (+ z (* -1 (/ (* x z) y)))) |
(*.f64 (-.f64 y x) z) |
(* y (+ z (* -1 (/ (* x z) y)))) |
(*.f64 (-.f64 y x) z) |
(* y (+ z (* -1 (/ (* x z) y)))) |
(*.f64 (-.f64 y x) z) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* y z) |
(*.f64 y z) |
(* -1 (* y (+ (* -1 z) (/ (* x z) y)))) |
(*.f64 (-.f64 y x) z) |
(* -1 (* y (+ (* -1 z) (/ (* x z) y)))) |
(*.f64 (-.f64 y x) z) |
(* -1 (* y (+ (* -1 z) (/ (* x z) y)))) |
(*.f64 (-.f64 y x) z) |
y |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(/ (* y z) t) |
(*.f64 (/.f64 y t) z) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* y z) |
(*.f64 y z) |
(+ (* -1 (* x z)) (* y z)) |
(*.f64 (-.f64 y x) z) |
(+ (* -1 (* x z)) (* y z)) |
(*.f64 (-.f64 y x) z) |
(+ (* -1 (* x z)) (* y z)) |
(*.f64 (-.f64 y x) z) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(* x (+ 1 (* -1 (/ z t)))) |
(-.f64 x (*.f64 (/.f64 x t) z)) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(* -1 (/ (* x z) t)) |
(*.f64 (/.f64 (neg.f64 x) t) z) |
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* x (+ (* -1 z) (/ (* y z) x))) |
(*.f64 (-.f64 y x) z) |
(* x (+ (* -1 z) (/ (* y z) x))) |
(*.f64 (-.f64 y x) z) |
(* x (+ (* -1 z) (/ (* y z) x))) |
(*.f64 (-.f64 y x) z) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* -1 (* x (- (/ z t) 1))) |
(-.f64 x (*.f64 (/.f64 x t) z)) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(* -1 (/ (* x z) t)) |
(*.f64 (/.f64 (neg.f64 x) t) z) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x (+ z (* -1 (/ (* y z) x))))) |
(*.f64 (-.f64 y x) z) |
(* -1 (* x (+ z (* -1 (/ (* y z) x))))) |
(*.f64 (-.f64 y x) z) |
(* -1 (* x (+ z (* -1 (/ (* y z) x))))) |
(*.f64 (-.f64 y x) z) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
| 4 390× | lower-*.f32 |
| 4 388× | lower-*.f64 |
| 4 200× | lower-fma.f64 |
| 4 200× | lower-fma.f32 |
| 2 408× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 49 | 24 |
| 2 | 408 | 24 |
| 3 | 5345 | 24 |
| 0 | 8477 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(*.f64 (-.f64 y x) z) |
(-.f64 y x) |
| Outputs |
|---|
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (-.f64 y x)) t) #s(literal 3 binary64))) (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 (*.f64 (-.f64 (/.f64 (*.f64 z (-.f64 y x)) t) x) (/.f64 (*.f64 z (-.f64 y x)) t)) #s(literal 2 binary64)))) (-.f64 (*.f64 x x) (*.f64 (-.f64 (/.f64 (*.f64 z (-.f64 y x)) t) x) (/.f64 (*.f64 z (-.f64 y x)) t)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 z (-.f64 y x)) t) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (-.f64 (/.f64 (*.f64 z (-.f64 y x)) t) x) (/.f64 (*.f64 z (-.f64 y x)) t)) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))) (fma.f64 (*.f64 (-.f64 (/.f64 (*.f64 z (-.f64 y x)) t) x) (/.f64 (*.f64 z (-.f64 y x)) t)) (-.f64 (*.f64 (-.f64 (/.f64 (*.f64 z (-.f64 y x)) t) x) (/.f64 (*.f64 z (-.f64 y x)) t)) (*.f64 x x)) (pow.f64 x #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (*.f64 z (-.f64 y x)) t) #s(literal 2 binary64))) (fma.f64 (neg.f64 x) x (pow.f64 (/.f64 (*.f64 z (-.f64 y x)) t) #s(literal 2 binary64)))) (fma.f64 (/.f64 (-.f64 y x) t) z x)) |
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(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) z) (+.f64 y x)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 y x) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z))) |
(/.f64 z (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(neg.f64 (*.f64 (neg.f64 z) (-.f64 y x))) |
(fma.f64 (*.f64 z #s(literal -1 binary64)) x (*.f64 z y)) |
(fma.f64 (*.f64 z y) #s(literal 1 binary64) (*.f64 (*.f64 (neg.f64 x) z) #s(literal 1 binary64))) |
(fma.f64 #s(literal -1 binary64) (*.f64 x z) (*.f64 z y)) |
(fma.f64 (neg.f64 x) z (*.f64 z y)) |
(fma.f64 #s(literal 1 binary64) (*.f64 z y) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) z))) |
(fma.f64 z (neg.f64 x) (*.f64 z y)) |
(fma.f64 z y (*.f64 (neg.f64 x) z)) |
(fma.f64 y z (*.f64 (neg.f64 x) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 z) (-.f64 y x))) |
(+.f64 (*.f64 (*.f64 z y) #s(literal 1 binary64)) (*.f64 (*.f64 (neg.f64 x) z) #s(literal 1 binary64))) |
(+.f64 (*.f64 #s(literal 1 binary64) (*.f64 z y)) (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 x) z))) |
(+.f64 (*.f64 (neg.f64 x) z) (*.f64 z y)) |
(+.f64 (*.f64 z y) (*.f64 (neg.f64 x) z)) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 y x) x))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) x) (-.f64 (*.f64 (+.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y)))) |
(*.f64 (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))) |
(*.f64 (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(*.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (pow.f64 (neg.f64 (+.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal -1 binary64))) |
(*.f64 (+.f64 y x) (/.f64 (-.f64 y x) (+.f64 y x))) |
(*.f64 (+.f64 y x) (*.f64 (-.f64 y x) (pow.f64 (+.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (-.f64 y x)) |
(*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (/.f64 (-.f64 y x) (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
(*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (*.f64 (-.f64 y x) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (fma.f64 y y (*.f64 x x))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (+.f64 y x) #s(literal -1 binary64))) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64))) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64))) (+.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal 1 binary64)) (+.f64 y x)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64))) (fma.f64 y (/.f64 y (+.f64 y x)) (*.f64 x (/.f64 x (+.f64 y x))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 2 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 2 binary64))) (+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 x x) (*.f64 y y)) (-.f64 (neg.f64 x) y)) |
(/.f64 (-.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 3 binary64)) (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 y (/.f64 y (+.f64 y x))) #s(literal 2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 x (+.f64 y x))) #s(literal 2 binary64)) (*.f64 (*.f64 y (/.f64 y (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x))))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) #s(literal 2 binary64)) (*.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)))) (neg.f64 (neg.f64 (+.f64 y x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(/.f64 (-.f64 (*.f64 (*.f64 y y) (+.f64 y x)) (*.f64 (+.f64 y x) (*.f64 x x))) (pow.f64 (+.f64 y x) #s(literal 2 binary64))) |
(/.f64 (-.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (pow.f64 x #s(literal 3 binary64)))) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal 2 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 x #s(literal 4 binary64))) (*.f64 (+.f64 y x) (fma.f64 y y (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (+.f64 y x) (fma.f64 (*.f64 x x) (fma.f64 y y (*.f64 x x)) (pow.f64 y #s(literal 4 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 6 binary64)) (pow.f64 x #s(literal 6 binary64))) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 9 binary64)) (pow.f64 x #s(literal 9 binary64))) (*.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) (+.f64 (pow.f64 y #s(literal 6 binary64)) (+.f64 (pow.f64 (*.f64 y x) #s(literal 3 binary64)) (pow.f64 x #s(literal 6 binary64)))))) |
(/.f64 (neg.f64 (fma.f64 (neg.f64 x) x (*.f64 y y))) (neg.f64 (+.f64 y x))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 y x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x x (-.f64 (*.f64 y y) (*.f64 (neg.f64 x) y)))) |
(/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (+.f64 y x) x (*.f64 y y))) |
(neg.f64 (neg.f64 (-.f64 y x))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (-.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 2 binary64)))) (-.f64 (*.f64 y y) (*.f64 (+.f64 y x) x)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 (+.f64 y x) x) #s(literal 3 binary64)) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (*.f64 (+.f64 y x) x) (-.f64 (*.f64 (+.f64 y x) x) (*.f64 y y)) (pow.f64 y #s(literal 4 binary64))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 (/.f64 (*.f64 y y) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 y y (*.f64 x (-.f64 x y))) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(fma.f64 (/.f64 (*.f64 y y) (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(fma.f64 (pow.f64 y #s(literal 3/2 binary64)) (/.f64 (pow.f64 y #s(literal 3/2 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 #s(literal -1 binary64) x y) |
(fma.f64 (*.f64 y y) (/.f64 y (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 (*.f64 y y) (pow.f64 (+.f64 y x) #s(literal -1 binary64)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(fma.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (fma.f64 (+.f64 y x) x (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 y (/.f64 (*.f64 y y) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(fma.f64 y (/.f64 y (+.f64 y x)) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(fma.f64 x #s(literal -1 binary64) y) |
(-.f64 (+.f64 y #s(literal 0 binary64)) x) |
(-.f64 (*.f64 y (/.f64 y (+.f64 y x))) (*.f64 x (/.f64 x (+.f64 y x)))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y)))) |
(-.f64 #s(literal 0 binary64) (-.f64 x y)) |
(-.f64 y x) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (*.f64 y (/.f64 y (+.f64 y x))) (neg.f64 (*.f64 x (/.f64 x (+.f64 y x))))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 x #s(literal 3 binary64)) (fma.f64 (+.f64 y x) x (*.f64 y y))))) |
(+.f64 (neg.f64 x) y) |
(+.f64 y (neg.f64 x)) |
Compiled 8 410 to 1 121 computations (86.7% saved)
14 alts after pruning (14 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 460 | 14 | 474 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 461 | 14 | 475 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 66.7% | (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) |
| 91.2% | (fma.f64 (/.f64 (-.f64 y x) t) z x) | |
| ▶ | 98.0% | (fma.f64 (/.f64 z t) (-.f64 y x) x) |
| 94.6% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) | |
| ▶ | 91.1% | (fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) |
| 53.5% | (+.f64 x (pow.f64 (pow.f64 (/.f64 t (*.f64 z (-.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| 66.1% | (+.f64 x (/.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) z) (+.f64 y x)) t)) | |
| 98.0% | (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) | |
| 77.5% | (+.f64 x (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t)) | |
| 91.0% | (+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 t (-.f64 y x)) (neg.f64 z)))) | |
| ▶ | 74.7% | (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) |
| 60.7% | #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 (-.f64 y x) z) t)) | |
| 58.0% | #s(approx (+ x (/ (* (- y x) z) t)) (-.f64 x (*.f64 (/.f64 x t) z))) | |
| ▶ | 40.1% | #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) |
Compiled 286 to 254 computations (11.2% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 y y) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (fma.f64 (neg.f64 x) x (*.f64 y y)) | |
| cost-diff | 1152 | (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 128 | (fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) | |
| cost-diff | 320 | (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) | |
| cost-diff | 0 | (/.f64 y t) | |
| cost-diff | 0 | (*.f64 (/.f64 y t) z) | |
| cost-diff | 0 | #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z)) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) | |
| cost-diff | 0 | (/.f64 y t) | |
| cost-diff | 0 | (*.f64 (/.f64 y t) z) | |
| cost-diff | 0 | #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (fma.f64 (/.f64 z t) (-.f64 y x) x) |
| 6 070× | lower-fma.f32 |
| 6 062× | lower-fma.f64 |
| 3 004× | lower-*.f32 |
| 2 996× | lower-*.f64 |
| 2 344× | lower--.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 162 |
| 0 | 49 | 150 |
| 1 | 85 | 150 |
| 2 | 186 | 149 |
| 3 | 564 | 149 |
| 4 | 1549 | 148 |
| 5 | 3920 | 148 |
| 6 | 6675 | 148 |
| 0 | 8165 | 148 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(/.f64 z t) |
z |
t |
(-.f64 y x) |
y |
x |
#s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) |
(*.f64 (/.f64 y t) z) |
(/.f64 y t) |
y |
t |
z |
(+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) |
x |
#s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z)) |
(*.f64 (/.f64 y t) z) |
(/.f64 y t) |
y |
t |
z |
(fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) |
(neg.f64 z) |
z |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) |
(-.f64 y x) |
y |
x |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(neg.f64 x) |
x |
(*.f64 y y) |
y |
(/.f64 z (*.f64 (+.f64 y x) t)) |
z |
(*.f64 (+.f64 y x) t) |
(+.f64 y x) |
t |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/.f64 z t) |
z |
t |
(-.f64 y x) |
y |
x |
#s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) |
(*.f64 (/.f64 y t) z) |
(/.f64 y t) |
y |
t |
z |
(+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) |
(+.f64 #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z)) x) |
x |
#s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z)) |
(*.f64 (/.f64 y t) z) |
(/.f64 y t) |
y |
t |
z |
(fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(neg.f64 z) |
z |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) |
(/.f64 (-.f64 x y) t) |
(-.f64 y x) |
y |
x |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(neg.f64 x) |
x |
(*.f64 y y) |
y |
(/.f64 z (*.f64 (+.f64 y x) t)) |
(/.f64 z (*.f64 (+.f64 x y) t)) |
z |
(*.f64 (+.f64 y x) t) |
(*.f64 (+.f64 x y) t) |
(+.f64 y x) |
(+.f64 x y) |
t |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0078125 | (*.f64 (+.f64 y x) t) | |
| accuracy | 0.9999889904222409 | (fma.f64 (neg.f64 x) x (*.f64 y y)) | |
| accuracy | 5.577572671256046 | (/.f64 z (*.f64 (+.f64 y x) t)) | |
| accuracy | 18.01303438379007 | (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.234375 | (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) | |
| accuracy | 5.645327900309647 | (fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) | |
| accuracy | 0 | (/.f64 y t) | |
| accuracy | 0.01171875 | (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) | |
| accuracy | 6.581505851761532 | (*.f64 (/.f64 y t) z) | |
| accuracy | 25.150832203501757 | #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z)) | |
| accuracy | 0 | (/.f64 y t) | |
| accuracy | 6.581505851761532 | (*.f64 (/.f64 y t) z) | |
| accuracy | 35.19777573553311 | #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 1.2909352663675318 | (fma.f64 (/.f64 z t) (-.f64 y x) x) |
| 51.0ms | 256× | 0 | valid |
Compiled 151 to 30 computations (80.1% saved)
ival-mult: 15.0ms (44% of total)ival-div: 9.0ms (26.4% of total)ival-add: 7.0ms (20.5% of total)ival-neg: 2.0ms (5.9% of total)ival-sub: 1.0ms (2.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (fma.f64 (/.f64 z t) (-.f64 y x) x) (patch (fma.f64 (/.f64 z t) (-.f64 y x) x) #<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 x) z) t)) (*.f64 (/.f64 y t) z)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 y t) z) (patch (*.f64 (/.f64 y t) z) #<representation binary64>) () ()) |
#s(alt (/.f64 y t) (patch (/.f64 y t) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) (patch (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z)) (patch #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) (patch (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) (patch (fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) (patch (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 x) x (*.f64 y y)) (patch (fma.f64 (neg.f64 x) x (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<representation binary64>) () ()) |
#s(alt (/.f64 z (*.f64 (+.f64 y x) t)) (patch (/.f64 z (*.f64 (+.f64 y x) t)) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 y x) t) (patch (*.f64 (+.f64 y x) t) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 z t) (-.f64 y x) x) (patch (fma.f64 (/.f64 z t) (-.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 z t) (-.f64 y x) x) (patch (fma.f64 (/.f64 z t) (-.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 z t) (-.f64 y x) x) (patch (fma.f64 (/.f64 z t) (-.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 z t) (-.f64 y x) x) (patch (fma.f64 (/.f64 z t) (-.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 y t) z) (patch (*.f64 (/.f64 y t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 y t) z) (patch (*.f64 (/.f64 y t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 y t) z) (patch (*.f64 (/.f64 y t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 y t) z) (patch (*.f64 (/.f64 y t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ y t) (taylor 0 t) (#s(alt (/.f64 y t) (patch (/.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (/ y t) (taylor 0 t) (#s(alt (/.f64 y t) (patch (/.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (/ y t) (taylor 0 t) (#s(alt (/.f64 y t) (patch (/.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (/ y t) (taylor 0 t) (#s(alt (/.f64 y t) (patch (/.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) (patch (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) (patch (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) (patch (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) (patch (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z)) (patch #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z)) (patch #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z)) (patch #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z)) (patch #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- y x) t)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) (patch (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- y x) t)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) (patch (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- y x) t)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) (patch (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (- y x) t)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) (patch (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) (patch (fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) (patch (fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) (patch (fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) (patch (fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (* t (+ x y))) (taylor 0 t) (#s(alt (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) (patch (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y))) t) (taylor 0 t) (#s(alt (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) (patch (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y))) t) (taylor 0 t) (#s(alt (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) (patch (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y))) t) (taylor 0 t) (#s(alt (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) (patch (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ z (* t (+ x y))) (taylor 0 t) (#s(alt (/.f64 z (*.f64 (+.f64 y x) t)) (patch (/.f64 z (*.f64 (+.f64 y x) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ z (* t (+ x y))) (taylor 0 t) (#s(alt (/.f64 z (*.f64 (+.f64 y x) t)) (patch (/.f64 z (*.f64 (+.f64 y x) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ z (* t (+ x y))) (taylor 0 t) (#s(alt (/.f64 z (*.f64 (+.f64 y x) t)) (patch (/.f64 z (*.f64 (+.f64 y x) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ z (* t (+ x y))) (taylor 0 t) (#s(alt (/.f64 z (*.f64 (+.f64 y x) t)) (patch (/.f64 z (*.f64 (+.f64 y x) t)) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ x y)) (taylor 0 t) (#s(alt (*.f64 (+.f64 y x) t) (patch (*.f64 (+.f64 y x) t) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ x y)) (taylor 0 t) (#s(alt (*.f64 (+.f64 y x) t) (patch (*.f64 (+.f64 y x) t) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ x y)) (taylor 0 t) (#s(alt (*.f64 (+.f64 y x) t) (patch (*.f64 (+.f64 y x) t) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ x y)) (taylor 0 t) (#s(alt (*.f64 (+.f64 y x) t) (patch (*.f64 (+.f64 y x) t) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf t) (#s(alt (fma.f64 (/.f64 z t) (-.f64 y x) x) (patch (fma.f64 (/.f64 z t) (-.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* z (- y x)) t)) (taylor inf t) (#s(alt (fma.f64 (/.f64 z t) (-.f64 y x) x) (patch (fma.f64 (/.f64 z t) (-.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* z (- y x)) t)) (taylor inf t) (#s(alt (fma.f64 (/.f64 z t) (-.f64 y x) x) (patch (fma.f64 (/.f64 z t) (-.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* z (- y x)) t)) (taylor inf t) (#s(alt (fma.f64 (/.f64 z t) (-.f64 y x) x) (patch (fma.f64 (/.f64 z t) (-.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (/ z t) (taylor inf t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ z t) (taylor inf t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ z t) (taylor inf t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ z t) (taylor inf t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf t) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* z (- y x)) t)) (taylor inf t) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* z (- y x)) t)) (taylor inf t) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* z (- y x)) t)) (taylor inf t) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor inf t) (#s(alt (*.f64 (/.f64 y t) z) (patch (*.f64 (/.f64 y t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor inf t) (#s(alt (*.f64 (/.f64 y t) z) (patch (*.f64 (/.f64 y t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor inf t) (#s(alt (*.f64 (/.f64 y t) z) (patch (*.f64 (/.f64 y t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor inf t) (#s(alt (*.f64 (/.f64 y t) z) (patch (*.f64 (/.f64 y t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ y t) (taylor inf t) (#s(alt (/.f64 y t) (patch (/.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (/ y t) (taylor inf t) (#s(alt (/.f64 y t) (patch (/.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (/ y t) (taylor inf t) (#s(alt (/.f64 y t) (patch (/.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (/ y t) (taylor inf t) (#s(alt (/.f64 y t) (patch (/.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf t) (#s(alt (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) (patch (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* z (- y x)) t)) (taylor inf t) (#s(alt (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) (patch (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) (patch (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) (patch (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) (taylor inf x) (#s(alt (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) (patch (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor inf x) (#s(alt (fma.f64 (neg.f64 x) x (*.f64 y y)) (patch (fma.f64 (neg.f64 x) x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) (taylor inf x) (#s(alt (fma.f64 (neg.f64 x) x (*.f64 y y)) (patch (fma.f64 (neg.f64 x) x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) (taylor inf x) (#s(alt (fma.f64 (neg.f64 x) x (*.f64 y y)) (patch (fma.f64 (neg.f64 x) x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) (taylor inf x) (#s(alt (fma.f64 (neg.f64 x) x (*.f64 y y)) (patch (fma.f64 (neg.f64 x) x (*.f64 y y)) #<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>) () ())) ()) |
#s(alt (/ z (* t x)) (taylor inf x) (#s(alt (/.f64 z (*.f64 (+.f64 y x) t)) (patch (/.f64 z (*.f64 (+.f64 y x) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ (* y z) (* t x))) (/ z t)) x) (taylor inf x) (#s(alt (/.f64 z (*.f64 (+.f64 y x) t)) (patch (/.f64 z (*.f64 (+.f64 y x) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (/ z t) (/ (* (pow y 2) z) (* t (pow x 2)))) (/ (* y z) (* t x))) x) (taylor inf x) (#s(alt (/.f64 z (*.f64 (+.f64 y x) t)) (patch (/.f64 z (*.f64 (+.f64 y x) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (/ (* (pow y 3) z) (* t (pow x 3)))) (/ z t)) (+ (* -1 (/ (* (pow y 2) z) (* t (pow x 2)))) (/ (* y z) (* t x)))) x) (taylor inf x) (#s(alt (/.f64 z (*.f64 (+.f64 y x) t)) (patch (/.f64 z (*.f64 (+.f64 y x) t)) #<representation binary64>) () ())) ()) |
#s(alt (* t x) (taylor inf x) (#s(alt (*.f64 (+.f64 y x) t) (patch (*.f64 (+.f64 y x) t) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ t (/ (* t y) x))) (taylor inf x) (#s(alt (*.f64 (+.f64 y x) t) (patch (*.f64 (+.f64 y x) t) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ t (/ (* t y) x))) (taylor inf x) (#s(alt (*.f64 (+.f64 y x) t) (patch (*.f64 (+.f64 y x) t) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ t (/ (* t y) x))) (taylor inf x) (#s(alt (*.f64 (+.f64 y x) t) (patch (*.f64 (+.f64 y x) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z t) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z t) (-.f64 y x) x) (patch (fma.f64 (/.f64 z t) (-.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z t) (-.f64 y x) x) (patch (fma.f64 (/.f64 z t) (-.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z t) (-.f64 y x) x) (patch (fma.f64 (/.f64 z t) (-.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z t) (-.f64 y x) x) (patch (fma.f64 (/.f64 z t) (-.f64 y x) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z t) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z t) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) (patch (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) (patch (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) (patch (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) (patch (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) t)) (taylor -inf x) (#s(alt #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z)) (patch #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) (taylor -inf x) (#s(alt #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z)) (patch #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) (taylor -inf x) (#s(alt #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z)) (patch #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) (taylor -inf x) (#s(alt #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z)) (patch #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x t) (taylor -inf x) (#s(alt (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) (patch (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* t x)) (/ 1 t)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) (patch (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* t x)) (/ 1 t)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) (patch (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ y (* t x)) (/ 1 t)))) (taylor -inf x) (#s(alt (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) (patch (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z t) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) (patch (fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) (patch (fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) (patch (fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) (patch (fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z t) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) (patch (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) (patch (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) (patch (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) (patch (fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (pow x 2)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) x (*.f64 y y)) (patch (fma.f64 (neg.f64 x) x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) x (*.f64 y y)) (patch (fma.f64 (neg.f64 x) x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) x (*.f64 y y)) (patch (fma.f64 (neg.f64 x) x (*.f64 y y)) #<representation binary64>) () ())) ()) |
#s(alt (* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) (taylor -inf x) (#s(alt (fma.f64 (neg.f64 x) x (*.f64 y y)) (patch (fma.f64 (neg.f64 x) x (*.f64 y y)) #<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>) () ())) ()) |
#s(alt (/ z (* t x)) (taylor -inf x) (#s(alt (/.f64 z (*.f64 (+.f64 y x) t)) (patch (/.f64 z (*.f64 (+.f64 y x) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ z t)) (/ (* y z) (* t x))) x)) (taylor -inf x) (#s(alt (/.f64 z (*.f64 (+.f64 y x) t)) (patch (/.f64 z (*.f64 (+.f64 y x) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (/ (* (pow y 2) z) (* t x)) (/ (* y z) t)) x))) x)) (taylor -inf x) (#s(alt (/.f64 z (*.f64 (+.f64 y x) t)) (patch (/.f64 z (*.f64 (+.f64 y x) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) (* t x)) (/ (* (pow y 2) z) t)) x)) (/ (* y z) t)) x))) x)) (taylor -inf x) (#s(alt (/.f64 z (*.f64 (+.f64 y x) t)) (patch (/.f64 z (*.f64 (+.f64 y x) t)) #<representation binary64>) () ())) ()) |
#s(alt (* t x) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) t) (patch (*.f64 (+.f64 y x) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 t) (* -1 (/ (* t y) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) t) (patch (*.f64 (+.f64 y x) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 t) (* -1 (/ (* t y) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) t) (patch (*.f64 (+.f64 y x) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 t) (* -1 (/ (* t y) x))))) (taylor -inf x) (#s(alt (*.f64 (+.f64 y x) t) (patch (*.f64 (+.f64 y x) t) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | z | @ | 0 | ((+ (* (/ z t) (- y x)) x) (/ z t) (- y x) (+ x (/ (* (- y x) z) t)) (* (/ y t) z) (/ y t) (+ x (/ (* (- y x) z) t)) (/ (* (- y x) z) t) (* (- y x) (/ -1 t)) (+ (* (neg z) (* (- y x) (/ -1 t))) x) (neg z) (+ (* (+ (* (neg x) x) (* y y)) (/ z (* (+ y x) t))) x) (+ (* (neg x) x) (* y y)) (neg x) (* y y) (/ z (* (+ y x) t)) (* (+ y x) t)) |
| 5.0ms | y | @ | inf | ((+ (* (/ z t) (- y x)) x) (/ z t) (- y x) (+ x (/ (* (- y x) z) t)) (* (/ y t) z) (/ y t) (+ x (/ (* (- y x) z) t)) (/ (* (- y x) z) t) (* (- y x) (/ -1 t)) (+ (* (neg z) (* (- y x) (/ -1 t))) x) (neg z) (+ (* (+ (* (neg x) x) (* y y)) (/ z (* (+ y x) t))) x) (+ (* (neg x) x) (* y y)) (neg x) (* y y) (/ z (* (+ y x) t)) (* (+ y x) t)) |
| 3.0ms | t | @ | 0 | ((+ (* (/ z t) (- y x)) x) (/ z t) (- y x) (+ x (/ (* (- y x) z) t)) (* (/ y t) z) (/ y t) (+ x (/ (* (- y x) z) t)) (/ (* (- y x) z) t) (* (- y x) (/ -1 t)) (+ (* (neg z) (* (- y x) (/ -1 t))) x) (neg z) (+ (* (+ (* (neg x) x) (* y y)) (/ z (* (+ y x) t))) x) (+ (* (neg x) x) (* y y)) (neg x) (* y y) (/ z (* (+ y x) t)) (* (+ y x) t)) |
| 3.0ms | t | @ | -inf | ((+ (* (/ z t) (- y x)) x) (/ z t) (- y x) (+ x (/ (* (- y x) z) t)) (* (/ y t) z) (/ y t) (+ x (/ (* (- y x) z) t)) (/ (* (- y x) z) t) (* (- y x) (/ -1 t)) (+ (* (neg z) (* (- y x) (/ -1 t))) x) (neg z) (+ (* (+ (* (neg x) x) (* y y)) (/ z (* (+ y x) t))) x) (+ (* (neg x) x) (* y y)) (neg x) (* y y) (/ z (* (+ y x) t)) (* (+ y x) t)) |
| 3.0ms | t | @ | inf | ((+ (* (/ z t) (- y x)) x) (/ z t) (- y x) (+ x (/ (* (- y x) z) t)) (* (/ y t) z) (/ y t) (+ x (/ (* (- y x) z) t)) (/ (* (- y x) z) t) (* (- y x) (/ -1 t)) (+ (* (neg z) (* (- y x) (/ -1 t))) x) (neg z) (+ (* (+ (* (neg x) x) (* y y)) (/ z (* (+ y x) t))) x) (+ (* (neg x) x) (* y y)) (neg x) (* y y) (/ z (* (+ y x) t)) (* (+ y x) t)) |
| 1× | egg-herbie |
| 10 606× | lower-fma.f64 |
| 10 606× | lower-fma.f32 |
| 5 068× | lower-*.f64 |
| 5 068× | lower-*.f32 |
| 3 440× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 284 | 4973 |
| 1 | 935 | 4832 |
| 2 | 3018 | 4648 |
| 0 | 8222 | 4468 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* z (- y x)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ (* z (- y x)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ y t) |
(/ (* z (- y x)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(* -1 (/ (- y x) t)) |
(* -1 (/ (- y x) t)) |
(* -1 (/ (- y x) t)) |
(* -1 (/ (- y x) t)) |
(/ (* z (- y x)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (* t (+ x y))) |
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(* -1 (* x (- (/ z t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (/ z t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (/ (* x z) t)) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(/ x t) |
(* -1 (* x (- (/ y (* t x)) (/ 1 t)))) |
(* -1 (* x (- (/ y (* t x)) (/ 1 t)))) |
(* -1 (* x (- (/ y (* t x)) (/ 1 t)))) |
(* -1 (* x (- (/ z t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (/ z t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (pow x 2)) |
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) |
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ z (* t x)) |
(* -1 (/ (+ (* -1 (/ z t)) (/ (* y z) (* t x))) x)) |
(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (/ (* (pow y 2) z) (* t x)) (/ (* y z) t)) x))) x)) |
(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) (* t x)) (/ (* (pow y 2) z) t)) x)) (/ (* y z) t)) x))) x)) |
(* t x) |
(* -1 (* x (+ (* -1 t) (* -1 (/ (* t y) x))))) |
(* -1 (* x (+ (* -1 t) (* -1 (/ (* t y) x))))) |
(* -1 (* x (+ (* -1 t) (* -1 (/ (* t y) x))))) |
| Outputs |
|---|
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (* y z) t) |
(*.f64 (/.f64 z t) y) |
(/ (* y z) t) |
(*.f64 (/.f64 z t) y) |
(/ (* y z) t) |
(*.f64 (/.f64 z t) y) |
(/ (* y z) t) |
(*.f64 (/.f64 z t) y) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (/ (- y x) t)) |
(/.f64 (-.f64 y x) (neg.f64 t)) |
(* -1 (/ (- y x) t)) |
(/.f64 (-.f64 y x) (neg.f64 t)) |
(* -1 (/ (- y x) t)) |
(/.f64 (-.f64 y x) (neg.f64 t)) |
(* -1 (/ (- y x) t)) |
(/.f64 (-.f64 y x) (neg.f64 t)) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (* t (+ x y))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 z (*.f64 (+.f64 x y) t))) |
(/ (+ (* t x) (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y))) t) |
(/.f64 (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 z (+.f64 x y)) (*.f64 t x)) t) |
(/ (+ (* t x) (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y))) t) |
(/.f64 (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 z (+.f64 x y)) (*.f64 t x)) t) |
(/ (+ (* t x) (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (+ x y))) t) |
(/.f64 (fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 z (+.f64 x y)) (*.f64 t x)) t) |
(/ z (* t (+ x y))) |
(/.f64 z (*.f64 (+.f64 x y) t)) |
(/ z (* t (+ x y))) |
(/.f64 z (*.f64 (+.f64 x y) t)) |
(/ z (* t (+ x y))) |
(/.f64 z (*.f64 (+.f64 x y) t)) |
(/ z (* t (+ x y))) |
(/.f64 z (*.f64 (+.f64 x y) t)) |
(* t (+ x y)) |
(*.f64 (+.f64 x y) t) |
(* t (+ x y)) |
(*.f64 (+.f64 x y) t) |
(* t (+ x y)) |
(*.f64 (+.f64 x y) t) |
(* t (+ x y)) |
(*.f64 (+.f64 x y) t) |
x |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
x |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ (* y z) t) |
(*.f64 (/.f64 z t) y) |
(/ (* y z) t) |
(*.f64 (/.f64 z t) y) |
(/ (* y z) t) |
(*.f64 (/.f64 z t) y) |
(/ (* y z) t) |
(*.f64 (/.f64 z t) y) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
x |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (/ (- y x) t)) |
(/.f64 (-.f64 y x) (neg.f64 t)) |
(* -1 (/ (- y x) t)) |
(/.f64 (-.f64 y x) (neg.f64 t)) |
(* -1 (/ (- y x) t)) |
(/.f64 (-.f64 y x) (neg.f64 t)) |
(* -1 (/ (- y x) t)) |
(/.f64 (-.f64 y x) (neg.f64 t)) |
x |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
x |
(+ x (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (* t (+ x y)))) |
(fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 z (*.f64 (+.f64 x y) t)) x) |
(+ x (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (* t (+ x y)))) |
(fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 z (*.f64 (+.f64 x y) t)) x) |
(+ x (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (* t (+ x y)))) |
(fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 z (*.f64 (+.f64 x y) t)) x) |
(/ z (* t (+ x y))) |
(/.f64 z (*.f64 (+.f64 x y) t)) |
(/ z (* t (+ x y))) |
(/.f64 z (*.f64 (+.f64 x y) t)) |
(/ z (* t (+ x y))) |
(/.f64 z (*.f64 (+.f64 x y) t)) |
(/ z (* t (+ x y))) |
(/.f64 z (*.f64 (+.f64 x y) t)) |
(* t (+ x y)) |
(*.f64 (+.f64 x y) t) |
(* t (+ x y)) |
(*.f64 (+.f64 x y) t) |
(* t (+ x y)) |
(*.f64 (+.f64 x y) t) |
(* t (+ x y)) |
(*.f64 (+.f64 x y) t) |
x |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
x |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ (* y z) t) |
(*.f64 (/.f64 z t) y) |
(/ (* y z) t) |
(*.f64 (/.f64 z t) y) |
(/ (* y z) t) |
(*.f64 (/.f64 z t) y) |
(/ (* y z) t) |
(*.f64 (/.f64 z t) y) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
(/ y t) |
(/.f64 y t) |
x |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (/ (- y x) t)) |
(/.f64 (-.f64 y x) (neg.f64 t)) |
(* -1 (/ (- y x) t)) |
(/.f64 (-.f64 y x) (neg.f64 t)) |
(* -1 (/ (- y x) t)) |
(/.f64 (-.f64 y x) (neg.f64 t)) |
(* -1 (/ (- y x) t)) |
(/.f64 (-.f64 y x) (neg.f64 t)) |
x |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
x |
(+ x (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (* t (+ x y)))) |
(fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 z (*.f64 (+.f64 x y) t)) x) |
(+ x (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (* t (+ x y)))) |
(fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 z (*.f64 (+.f64 x y) t)) x) |
(+ x (/ (* z (+ (* -1 (pow x 2)) (pow y 2))) (* t (+ x y)))) |
(fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 z (*.f64 (+.f64 x y) t)) x) |
(/ z (* t (+ x y))) |
(/.f64 z (*.f64 (+.f64 x y) t)) |
(/ z (* t (+ x y))) |
(/.f64 z (*.f64 (+.f64 x y) t)) |
(/ z (* t (+ x y))) |
(/.f64 z (*.f64 (+.f64 x y) t)) |
(/ z (* t (+ x y))) |
(/.f64 z (*.f64 (+.f64 x y) t)) |
(* t (+ x y)) |
(*.f64 (+.f64 x y) t) |
(* t (+ x y)) |
(*.f64 (+.f64 x y) t) |
(* t (+ x y)) |
(*.f64 (+.f64 x y) t) |
(* t (+ x y)) |
(*.f64 (+.f64 x y) t) |
x |
(+ x (* z (- (/ y t) (/ x t)))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (* z (- (/ y t) (/ x t)))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (* z (- (/ y t) (/ x t)))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
x |
(+ x (* z (- (/ y t) (/ x t)))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (* z (- (/ y t) (/ x t)))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (* z (- (/ y t) (/ x t)))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ (* y z) t) |
(*.f64 (/.f64 z t) y) |
(/ (* y z) t) |
(*.f64 (/.f64 z t) y) |
(/ (* y z) t) |
(*.f64 (/.f64 z t) y) |
(/ (* y z) t) |
(*.f64 (/.f64 z t) y) |
x |
(+ x (* z (- (/ y t) (/ x t)))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (* z (- (/ y t) (/ x t)))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (* z (- (/ y t) (/ x t)))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
x |
(+ x (* z (- (/ y t) (/ x t)))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (* z (- (/ y t) (/ x t)))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (* z (- (/ y t) (/ x t)))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
x |
(+ x (* z (+ (* -1 (/ (pow x 2) (* t (+ x y)))) (/ (pow y 2) (* t (+ x y)))))) |
(fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 z (*.f64 (+.f64 x y) t)) x) |
(+ x (* z (+ (* -1 (/ (pow x 2) (* t (+ x y)))) (/ (pow y 2) (* t (+ x y)))))) |
(fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 z (*.f64 (+.f64 x y) t)) x) |
(+ x (* z (+ (* -1 (/ (pow x 2) (* t (+ x y)))) (/ (pow y 2) (* t (+ x y)))))) |
(fma.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 z (*.f64 (+.f64 x y) t)) x) |
(/ z (* t (+ x y))) |
(/.f64 z (*.f64 (+.f64 x y) t)) |
(/ z (* t (+ x y))) |
(/.f64 z (*.f64 (+.f64 x y) t)) |
(/ z (* t (+ x y))) |
(/.f64 z (*.f64 (+.f64 x y) t)) |
(/ z (* t (+ x y))) |
(/.f64 z (*.f64 (+.f64 x y) t)) |
(* z (- (/ y t) (/ x t))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(*.f64 (+.f64 (/.f64 x z) (/.f64 (-.f64 y x) t)) z) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(*.f64 (+.f64 (/.f64 x z) (/.f64 (-.f64 y x) t)) z) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(*.f64 (+.f64 (/.f64 x z) (/.f64 (-.f64 y x) t)) z) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(* z (- (/ y t) (/ x t))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(*.f64 (+.f64 (/.f64 x z) (/.f64 (-.f64 y x) t)) z) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(*.f64 (+.f64 (/.f64 x z) (/.f64 (-.f64 y x) t)) z) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(*.f64 (+.f64 (/.f64 x z) (/.f64 (-.f64 y x) t)) z) |
(/ (* y z) t) |
(*.f64 (/.f64 z t) y) |
(/ (* y z) t) |
(*.f64 (/.f64 z t) y) |
(/ (* y z) t) |
(*.f64 (/.f64 z t) y) |
(/ (* y z) t) |
(*.f64 (/.f64 z t) y) |
(* z (- (/ y t) (/ x t))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(*.f64 (+.f64 (/.f64 x z) (/.f64 (-.f64 y x) t)) z) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(*.f64 (+.f64 (/.f64 x z) (/.f64 (-.f64 y x) t)) z) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(*.f64 (+.f64 (/.f64 x z) (/.f64 (-.f64 y x) t)) z) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* z (- (/ y t) (/ x t))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(*.f64 (+.f64 (/.f64 x z) (/.f64 (-.f64 y x) t)) z) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(*.f64 (+.f64 (/.f64 x z) (/.f64 (-.f64 y x) t)) z) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(*.f64 (+.f64 (/.f64 x z) (/.f64 (-.f64 y x) t)) z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* -1 z) |
(neg.f64 z) |
(* z (+ (* -1 (/ (pow x 2) (* t (+ x y)))) (/ (pow y 2) (* t (+ x y))))) |
(*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 z (*.f64 (+.f64 x y) t))) |
(* z (+ (* -1 (/ (pow x 2) (* t (+ x y)))) (+ (/ x z) (/ (pow y 2) (* t (+ x y)))))) |
(*.f64 (+.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (*.f64 (+.f64 x y) t)) (/.f64 x z)) z) |
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(* -1 (pow x 2)) |
(*.f64 (neg.f64 x) x) |
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) x) x) |
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) x) x) |
(* (pow x 2) (- (/ (pow y 2) (pow x 2)) 1)) |
(*.f64 (*.f64 (fma.f64 (/.f64 y x) (/.f64 y x) #s(literal -1 binary64)) x) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ z (* t x)) |
(/.f64 (/.f64 z t) x) |
(* -1 (/ (+ (* -1 (/ z t)) (/ (* y z) (* t x))) x)) |
(/.f64 (neg.f64 (*.f64 (/.f64 z t) (-.f64 (/.f64 y x) #s(literal 1 binary64)))) x) |
(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (/ (* (pow y 2) z) (* t x)) (/ (* y z) t)) x))) x)) |
(/.f64 (fma.f64 (/.f64 (/.f64 z t) x) (-.f64 (*.f64 y (/.f64 y x)) y) (/.f64 z t)) x) |
(* -1 (/ (+ (* -1 (/ z t)) (* -1 (/ (- (* -1 (/ (- (/ (* (pow y 3) z) (* t x)) (/ (* (pow y 2) z) t)) x)) (/ (* y z) t)) x))) x)) |
(/.f64 (+.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 y t) z (/.f64 (*.f64 (*.f64 y y) (*.f64 (/.f64 z t) (-.f64 (/.f64 y x) #s(literal 1 binary64)))) x))) x) (/.f64 z t)) x) |
(* t x) |
(*.f64 t x) |
(* -1 (* x (+ (* -1 t) (* -1 (/ (* t y) x))))) |
(*.f64 (fma.f64 (/.f64 y x) t t) x) |
(* -1 (* x (+ (* -1 t) (* -1 (/ (* t y) x))))) |
(*.f64 (fma.f64 (/.f64 y x) t t) x) |
(* -1 (* x (+ (* -1 t) (* -1 (/ (* t y) x))))) |
(*.f64 (fma.f64 (/.f64 y x) t t) x) |
| 5 516× | lower-fma.f32 |
| 5 508× | lower-fma.f64 |
| 5 108× | lower-/.f32 |
| 5 100× | lower-/.f64 |
| 4 226× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 28 | 125 |
| 0 | 49 | 113 |
| 1 | 197 | 112 |
| 2 | 1667 | 112 |
| 0 | 8280 | 112 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(/.f64 z t) |
(-.f64 y x) |
#s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) |
(*.f64 (/.f64 y t) z) |
(/.f64 y t) |
(+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) |
#s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z)) |
(*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) |
(fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) |
(neg.f64 z) |
(fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) |
(fma.f64 (neg.f64 x) x (*.f64 y y)) |
(neg.f64 x) |
(*.f64 y y) |
(/.f64 z (*.f64 (+.f64 y x) t)) |
(*.f64 (+.f64 y x) t) |
| Outputs |
|---|
(*.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 2 binary64)) (*.f64 x x)) (pow.f64 (-.f64 (/.f64 (*.f64 (-.f64 y x) z) t) x) #s(literal -1 binary64))) |
(*.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 2 binary64))) (pow.f64 (-.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (fma.f64 (/.f64 (*.f64 (-.f64 y x) z) t) (-.f64 (/.f64 (*.f64 (-.f64 y x) z) t) x) (*.f64 x x)) #s(literal -1 binary64))) |
(pow.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) (/.f64 z t) x)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (-.f64 y x) z) t) x)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 (-.f64 y x) z) t) x)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (-.f64 y x) z) t) x)) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (-.f64 y x) z) t) x)) (fma.f64 (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 (-.f64 y x) z) t) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 (-.f64 y x) z) t) x)) (*.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (-.f64 y x) z) t) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 (-.f64 y x) z) t) x)))))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))) #s(literal 3 binary64)) (pow.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))) #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))) (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))) (fma.f64 (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))) (*.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))) (/.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))))))) |
(/.f64 (-.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 (-.f64 y x) (neg.f64 t)) z) #s(literal 3 binary64))) (fma.f64 x x (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 2 binary64)) (*.f64 x (*.f64 (/.f64 (-.f64 y x) (neg.f64 t)) z))))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 2 binary64)) (*.f64 x x)))) (neg.f64 (neg.f64 (-.f64 (/.f64 (*.f64 (-.f64 y x) z) t) x)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 2 binary64))))) (neg.f64 (neg.f64 (-.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 (/.f64 (*.f64 (-.f64 y x) z) t) (-.f64 (/.f64 (*.f64 (-.f64 y x) z) t) x) (*.f64 x x))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 (-.f64 y x) z) t) x)) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 y x) z) t) x) (*.f64 x x))) (*.f64 (-.f64 (/.f64 (*.f64 (-.f64 y x) z) t) x) (-.f64 (/.f64 (*.f64 (-.f64 y x) z) t) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))) (*.f64 (-.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 2 binary64)))) (*.f64 (-.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (-.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 2 binary64)) (*.f64 x x))) (neg.f64 (-.f64 (/.f64 (*.f64 (-.f64 y x) z) t) x))) |
(/.f64 (neg.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 2 binary64)))) (neg.f64 (-.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 x (-.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (neg.f64 (fma.f64 (/.f64 (*.f64 (-.f64 y x) z) t) (-.f64 (/.f64 (*.f64 (-.f64 y x) z) t) x) (*.f64 x x)))) |
(/.f64 (-.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 2 binary64)) (*.f64 x x)) (-.f64 (/.f64 (*.f64 (-.f64 y x) z) t) x)) |
(/.f64 (-.f64 (*.f64 x x) (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 2 binary64))) (-.f64 x (/.f64 (*.f64 (-.f64 y x) z) t))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 x (-.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 2 binary64)))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (*.f64 (-.f64 y x) z) t) #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (fma.f64 (/.f64 (*.f64 (-.f64 y x) z) t) (-.f64 (/.f64 (*.f64 (-.f64 y x) z) t) x) (*.f64 x x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) (/.f64 z t) x)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) (/.f64 z t) x))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (-.f64 y x) (/.f64 z t) x)))) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (/.f64 z t) (fma.f64 x (+.f64 x y) (*.f64 y y))) x) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (/.f64 z (*.f64 (+.f64 x y) t)) x) |
(fma.f64 (/.f64 (/.f64 z t) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 x (+.f64 x y) (*.f64 y y))) x) |
(fma.f64 (/.f64 (/.f64 z t) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (-.f64 y x) x) |
(fma.f64 (/.f64 (/.f64 z t) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (/.f64 z t) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) #s(literal -1 binary64)) (/.f64 (neg.f64 z) (*.f64 (+.f64 x y) t)) x) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 t)) (/.f64 (neg.f64 z) (+.f64 x y)) x) |
(fma.f64 (/.f64 (neg.f64 z) (+.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 t)) x) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (+.f64 x y))) (/.f64 (neg.f64 z) t) x) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (+.f64 x y) t)) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal -1 binary64)) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (*.f64 (+.f64 x y) t)) (/.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) t) (/.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)) (/.f64 (+.f64 x y) z)) x) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (*.f64 (+.f64 x y) t)) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) t) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 (+.f64 x y) z)) x) |
(fma.f64 (/.f64 (+.f64 x y) (*.f64 (+.f64 x y) t)) (/.f64 (-.f64 y x) (pow.f64 z #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (+.f64 x y) t) (/.f64 (-.f64 y x) (/.f64 (+.f64 x y) z)) x) |
(fma.f64 (/.f64 (neg.f64 (-.f64 y x)) #s(literal -1 binary64)) (/.f64 z t) x) |
(fma.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (*.f64 (+.f64 x y) t)) x) |
(fma.f64 (/.f64 (neg.f64 z) #s(literal -1 binary64)) (/.f64 (-.f64 y x) t) x) |
(fma.f64 (/.f64 (neg.f64 (-.f64 y x)) t) (/.f64 z #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) t) (/.f64 (-.f64 y x) (pow.f64 z #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) t) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (pow.f64 z #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) t) (/.f64 (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (-.f64 (pow.f64 x #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (+.f64 x y)) (/.f64 (pow.f64 (fma.f64 (neg.f64 x) x (*.f64 (neg.f64 y) y)) #s(literal -1 binary64)) (/.f64 t z)) x) |
(fma.f64 (/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 x #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) (+.f64 x y)) (/.f64 (pow.f64 (+.f64 (+.f64 (pow.f64 y #s(literal 4 binary64)) (pow.f64 (*.f64 x y) #s(literal 2 binary64))) (pow.f64 x #s(literal 4 binary64))) #s(literal -1 binary64)) (/.f64 t z)) x) |
(fma.f64 (/.f64 (+.f64 x y) (+.f64 x y)) (/.f64 (*.f64 (-.f64 y x) z) t) x) |
(fma.f64 (/.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 z) t) x) |
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 y x)) t) x) |
(fma.f64 (/.f64 (-.f64 y x) t) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (-.f64 y x) t) (/.f64 (neg.f64 z) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (/.f64 z t) (pow.f64 (-.f64 y x) #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 z t) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) x) |
(fma.f64 (*.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal -1 binary64)) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 (*.f64 (/.f64 (-.f64 y x) (neg.f64 t)) #s(literal -1 binary64)) z x) |
(fma.f64 (/.f64 (*.f64 (neg.f64 z) (-.f64 y x)) t) #s(literal -1 binary64) x) |
(fma.f64 (/.f64 (neg.f64 z) t) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (neg.f64 (+.f64 x y))) x) |
(fma.f64 (/.f64 (neg.f64 z) t) (/.f64 (-.f64 y x) #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 t z)) x) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) t) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) t) (/.f64 z (+.f64 x y)) x) |
(fma.f64 (/.f64 z (+.f64 x y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) t) x) |
(fma.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) z) (pow.f64 (*.f64 (+.f64 x y) t) #s(literal -1 binary64)) x) |
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(/.f64 (*.f64 (neg.f64 x) x) (+.f64 #s(literal 0 binary64) x)) |
(neg.f64 x) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x)))) (/.f64 (pow.f64 x #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 x x (*.f64 #s(literal 0 binary64) x))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) x)) (/.f64 (*.f64 x x) (+.f64 #s(literal 0 binary64) x))) |
(-.f64 #s(literal 0 binary64) x) |
(+.f64 #s(literal 0 binary64) (neg.f64 x)) |
(*.f64 (exp.f64 (log.f64 y)) (exp.f64 (log.f64 y))) |
(*.f64 y y) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal 2 binary64)) |
(pow.f64 (*.f64 y y) #s(literal 1 binary64)) |
(pow.f64 y #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 y) #s(literal 2 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 x y)) (/.f64 z (neg.f64 t))) |
(*.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 z (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (/.f64 z (+.f64 x y))) |
(*.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 z (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (pow.f64 t #s(literal -1 binary64)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 z (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (/.f64 z t) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal 1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 z t) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (/.f64 #s(literal -1 binary64) t) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (neg.f64 z) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (/.f64 (/.f64 #s(literal -1 binary64) t) (+.f64 x y))) |
(*.f64 (/.f64 (neg.f64 z) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (/.f64 #s(literal -1 binary64) t) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (neg.f64 z) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 #s(literal -1 binary64) t) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (/.f64 z (neg.f64 t)) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (/.f64 (/.f64 z (neg.f64 t)) (+.f64 x y))) |
(*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (/.f64 z (neg.f64 t)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 #s(literal -1 binary64) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 z (neg.f64 t)) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 z (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (/.f64 (pow.f64 t #s(literal -1 binary64)) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 z (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (pow.f64 (*.f64 (+.f64 x y) t) #s(literal -1 binary64))) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (*.f64 (+.f64 x y) t))) |
(*.f64 (/.f64 z (neg.f64 (+.f64 x y))) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 z (*.f64 (+.f64 x y) t))) |
(*.f64 (/.f64 z (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 z (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 z t)) |
(*.f64 (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (/.f64 z t) (pow.f64 (-.f64 y x) #s(literal -1 binary64)))) |
(*.f64 (/.f64 z (neg.f64 t)) (/.f64 #s(literal -1 binary64) (+.f64 x y))) |
(*.f64 (/.f64 z (+.f64 x y)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 z (+.f64 x y))) |
(*.f64 (pow.f64 (*.f64 (+.f64 x y) t) #s(literal -1 binary64)) (pow.f64 (pow.f64 z #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (+.f64 x y) t) #s(literal -1 binary64)) z) |
(*.f64 #s(literal 1 binary64) (/.f64 z (*.f64 (+.f64 x y) t))) |
(*.f64 (neg.f64 z) (pow.f64 (*.f64 (neg.f64 t) (+.f64 x y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 z (neg.f64 (+.f64 x y)))) |
(*.f64 #s(literal -1 binary64) (/.f64 z (*.f64 (neg.f64 t) (+.f64 x y)))) |
(*.f64 (/.f64 z t) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(*.f64 z (pow.f64 (*.f64 (+.f64 x y) t) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (*.f64 (+.f64 x y) t) z) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) (+.f64 x y))) #s(literal 3 binary64)) (pow.f64 (/.f64 z (*.f64 (neg.f64 t) (+.f64 x y))) #s(literal 3 binary64))) (fma.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) (+.f64 x y))) (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) (+.f64 x y))) (+.f64 (pow.f64 (/.f64 (*.f64 (+.f64 x y) t) z) #s(literal -2 binary64)) (*.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) (+.f64 x y))) (/.f64 z (*.f64 (neg.f64 t) (+.f64 x y))))))) |
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (*.f64 (neg.f64 t) (+.f64 x y))) |
(/.f64 (neg.f64 (neg.f64 (/.f64 z (+.f64 x y)))) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (neg.f64 (neg.f64 (*.f64 (neg.f64 t) (+.f64 x y))))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) (+.f64 x y))) (*.f64 (*.f64 (neg.f64 t) (+.f64 x y)) z)) (*.f64 (*.f64 (neg.f64 t) (+.f64 x y)) (*.f64 (neg.f64 t) (+.f64 x y)))) |
(/.f64 (*.f64 z #s(literal 1 binary64)) (*.f64 (+.f64 x y) t)) |
(/.f64 (neg.f64 (/.f64 z t)) (neg.f64 (+.f64 x y))) |
(/.f64 (neg.f64 (/.f64 z (+.f64 x y))) (neg.f64 t)) |
(/.f64 (neg.f64 (neg.f64 z)) (neg.f64 (*.f64 (neg.f64 t) (+.f64 x y)))) |
(/.f64 (/.f64 z (+.f64 x y)) t) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) t) (*.f64 z #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 x y) (/.f64 z t))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (+.f64 x y) t) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (+.f64 x y) t) z)) |
(/.f64 (neg.f64 z) (*.f64 (neg.f64 t) (+.f64 x y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (+.f64 x y) t) z))) |
(/.f64 (/.f64 z t) (+.f64 x y)) |
(/.f64 z (*.f64 (+.f64 x y) t)) |
(neg.f64 (/.f64 (neg.f64 z) (*.f64 (+.f64 x y) t))) |
(neg.f64 (/.f64 z (*.f64 (neg.f64 t) (+.f64 x y)))) |
(-.f64 (/.f64 (/.f64 #s(literal 0 binary64) (neg.f64 t)) (+.f64 x y)) (/.f64 (/.f64 z (neg.f64 t)) (+.f64 x y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) (+.f64 x y))) (/.f64 z (*.f64 (neg.f64 t) (+.f64 x y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (+.f64 x y) t) z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 t (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (/.f64 t (-.f64 y x))) |
(*.f64 (/.f64 t (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y)))) (+.f64 x y)) |
(*.f64 (/.f64 t (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 t (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (/.f64 t (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (/.f64 t (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (fma.f64 (neg.f64 x) x (*.f64 y y))) (/.f64 t (pow.f64 (+.f64 x y) #s(literal -1 binary64)))) |
(*.f64 (+.f64 x y) t) |
(*.f64 t (+.f64 x y)) |
(/.f64 (+.f64 (pow.f64 (*.f64 x t) #s(literal 3 binary64)) (pow.f64 (*.f64 y t) #s(literal 3 binary64))) (fma.f64 (*.f64 x t) (*.f64 x t) (-.f64 (*.f64 (*.f64 y t) (*.f64 y t)) (*.f64 (*.f64 x t) (*.f64 y t))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y t) #s(literal 3 binary64)) (pow.f64 (*.f64 x t) #s(literal 3 binary64))) (fma.f64 (*.f64 y t) (*.f64 y t) (-.f64 (*.f64 (*.f64 x t) (*.f64 x t)) (*.f64 (*.f64 y t) (*.f64 x t))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 t x) #s(literal 3 binary64)) (pow.f64 (*.f64 t y) #s(literal 3 binary64))) (fma.f64 (*.f64 t x) (*.f64 t x) (-.f64 (*.f64 (*.f64 t y) (*.f64 t y)) (*.f64 (*.f64 t x) (*.f64 t y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 t y) #s(literal 3 binary64)) (pow.f64 (*.f64 t x) #s(literal 3 binary64))) (fma.f64 (*.f64 t y) (*.f64 t y) (-.f64 (*.f64 (*.f64 t x) (*.f64 t x)) (*.f64 (*.f64 t y) (*.f64 t x))))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) t)) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) t)) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 t (fma.f64 (neg.f64 x) x (*.f64 y y)))) (neg.f64 (-.f64 y x))) |
(/.f64 (neg.f64 (*.f64 t (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) t) (-.f64 y x)) |
(/.f64 (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) t) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 t (fma.f64 (neg.f64 x) x (*.f64 y y))) (-.f64 y x)) |
(/.f64 (*.f64 t (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 x (-.f64 x y) (*.f64 y y))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y x) (*.f64 t (fma.f64 (neg.f64 x) x (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 x (-.f64 x y) (*.f64 y y)) (*.f64 t (+.f64 (pow.f64 x #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))))) |
(fma.f64 x t (*.f64 y t)) |
(fma.f64 y t (*.f64 x t)) |
(fma.f64 t x (*.f64 t y)) |
(fma.f64 t y (*.f64 t x)) |
(+.f64 (*.f64 x t) (*.f64 y t)) |
(+.f64 (*.f64 y t) (*.f64 x t)) |
(+.f64 (*.f64 t x) (*.f64 t y)) |
(+.f64 (*.f64 t y) (*.f64 t x)) |
Compiled 26 400 to 2 112 computations (92% saved)
17 alts after pruning (15 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 455 | 10 | 1 465 |
| Fresh | 4 | 5 | 9 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 462 | 17 | 1 479 |
| Status | Accuracy | Program |
|---|---|---|
| 91.2% | (fma.f64 (/.f64 (-.f64 y x) t) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) x) | |
| 91.2% | (fma.f64 (/.f64 (-.f64 y x) t) z x) | |
| ▶ | 61.9% | (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) |
| ▶ | 94.6% | (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) |
| ✓ | 91.1% | (fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) |
| 58.0% | (fma.f64 (neg.f64 z) #s(approx (* (- y x) (/ -1 t)) (/.f64 x t)) x) | |
| 59.9% | (fma.f64 #s(approx (+ (* (neg x) x) (* y y)) (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) | |
| 53.5% | (+.f64 x (pow.f64 (pow.f64 (/.f64 t (*.f64 z (-.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) | |
| ▶ | 98.0% | (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) |
| 77.5% | (+.f64 x (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t)) | |
| ▶ | 79.7% | (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) |
| 87.9% | (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (neg.f64 y) (*.f64 (/.f64 z t) (-.f64 (/.f64 x y) #s(literal 1 binary64)))))) | |
| 60.7% | #s(approx (+ (* (/ z t) (- y x)) x) (/.f64 (*.f64 (-.f64 y x) z) t)) | |
| 45.1% | #s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) | |
| ▶ | 43.2% | #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) |
| 40.3% | #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) | |
| ✓ | 40.1% | #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) |
Compiled 295 to 281 computations (4.7% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) t) | |
| cost-diff | 128 | (*.f64 (neg.f64 z) (-.f64 y x)) | |
| cost-diff | 320 | (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- y x) (neg.f64 x)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (*.f64 (/.f64 z t) y) | |
| cost-diff | 0 | #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y)) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (/.f64 (*.f64 y z) t) | |
| cost-diff | 0 | #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) | |
| cost-diff | 0 | (/.f64 t z) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 128 | (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) | |
| cost-diff | 384 | (/.f64 (-.f64 y x) (/.f64 t z)) |
| 1 680× | lower-fma.f32 |
| 1 676× | lower-fma.f64 |
| 936× | div-sub |
| 832× | lower-*.f32 |
| 826× | lower-*.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 147 |
| 0 | 45 | 145 |
| 1 | 78 | 145 |
| 2 | 152 | 145 |
| 3 | 486 | 144 |
| 4 | 1429 | 144 |
| 5 | 2073 | 144 |
| 6 | 2971 | 144 |
| 7 | 4774 | 144 |
| 8 | 5411 | 144 |
| 9 | 5656 | 144 |
| 10 | 5677 | 144 |
| 11 | 5689 | 144 |
| 12 | 5689 | 144 |
| 13 | 5701 | 144 |
| 14 | 5703 | 144 |
| 15 | 5703 | 144 |
| 0 | 5703 | 141 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) |
x |
(/.f64 (-.f64 y x) (/.f64 t z)) |
(-.f64 y x) |
y |
(/.f64 t z) |
t |
z |
#s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y z) |
y |
z |
t |
(+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) |
x |
#s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y)) |
(*.f64 (/.f64 z t) y) |
(/.f64 z t) |
z |
t |
y |
(fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) |
(/.f64 z t) |
z |
t |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
x |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(*.f64 (neg.f64 z) (-.f64 y x)) |
(neg.f64 z) |
z |
(-.f64 y x) |
y |
x |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
x |
(/.f64 (-.f64 y x) (/.f64 t z)) |
(*.f64 (/.f64 (-.f64 y x) t) z) |
(-.f64 y x) |
y |
(/.f64 t z) |
t |
z |
#s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) |
#s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 z t) y)) |
(/.f64 (*.f64 y z) t) |
(*.f64 (/.f64 z t) y) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
t |
(+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) |
(+.f64 #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y)) x) |
x |
#s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y)) |
(*.f64 (/.f64 z t) y) |
(/.f64 z t) |
z |
t |
y |
(fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) |
(/.f64 z t) |
z |
t |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
x |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
(*.f64 (neg.f64 z) (-.f64 y x)) |
(*.f64 (-.f64 x y) z) |
(neg.f64 z) |
z |
(-.f64 y x) |
y |
x |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.0078125 | (*.f64 (neg.f64 z) (-.f64 y x)) | |
| accuracy | 3.4313139438221527 | (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 1.2909352663675318 | (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) | |
| accuracy | 33.73043763270631 | #s(approx (- y x) (neg.f64 x)) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 0.01171875 | (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) | |
| accuracy | 4.847274045777447 | (*.f64 (/.f64 z t) y) | |
| accuracy | 25.150832203501757 | #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y)) | |
| accuracy | 0 | (*.f64 y z) | |
| accuracy | 4.054377894290004 | (/.f64 (*.f64 y z) t) | |
| accuracy | 35.19777573553311 | #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) | |
| accuracy | 0 | (/.f64 t z) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0.01171875 | (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) | |
| accuracy | 4.645161597540141 | (/.f64 (-.f64 y x) (/.f64 t z)) |
| 89.0ms | 256× | 0 | valid |
Compiled 127 to 26 computations (79.5% saved)
ival-div: 29.0ms (56.2% of total)ival-mult: 14.0ms (27.1% of total)ival-add: 4.0ms (7.8% of total)ival-sub: 2.0ms (3.9% of total)ival-neg: 2.0ms (3.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (-.f64 y x) (/.f64 t z)) (patch (/.f64 (-.f64 y x) (/.f64 t z)) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) (patch (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) #<representation binary64>) () ()) |
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 t z) (patch (/.f64 t z) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 y z) t) (patch (/.f64 (*.f64 y z) t) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) (patch (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y)) (patch #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y)) #<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 (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) (patch (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) (-.f64 y x)) (patch (*.f64 (neg.f64 z) (-.f64 y x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) t) (patch (/.f64 #s(literal -1 binary64) t) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (/.f64 (-.f64 y x) (/.f64 t z)) (patch (/.f64 (-.f64 y x) (/.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (/.f64 (-.f64 y x) (/.f64 t z)) (patch (/.f64 (-.f64 y x) (/.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (/.f64 (-.f64 y x) (/.f64 t z)) (patch (/.f64 (-.f64 y x) (/.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (/.f64 (-.f64 y x) (/.f64 t z)) (patch (/.f64 (-.f64 y x) (/.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) (patch (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) (patch (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) (patch (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) (patch (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (/ t z) (taylor 0 t) (#s(alt (/.f64 t z) (patch (/.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (/ t z) (taylor 0 t) (#s(alt (/.f64 t z) (patch (/.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (/ t z) (taylor 0 t) (#s(alt (/.f64 t z) (patch (/.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (/ t z) (taylor 0 t) (#s(alt (/.f64 t z) (patch (/.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (/.f64 (*.f64 y z) t) (patch (/.f64 (*.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (/.f64 (*.f64 y z) t) (patch (/.f64 (*.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (/.f64 (*.f64 y z) t) (patch (/.f64 (*.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (/.f64 (*.f64 y z) t) (patch (/.f64 (*.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) (patch (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) (patch (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) (patch (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) (patch (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y)) (patch #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y)) (patch #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y)) (patch #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y)) (patch #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) y) (patch (*.f64 (/.f64 z t) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) y) (patch (*.f64 (/.f64 z t) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) y) (patch (*.f64 (/.f64 z t) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) y) (patch (*.f64 (/.f64 z t) y) #<representation binary64>) () ())) ()) |
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) (patch (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) (patch (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) (patch (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) (patch (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1 binary64) t) (patch (/.f64 #s(literal -1 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1 binary64) t) (patch (/.f64 #s(literal -1 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1 binary64) t) (patch (/.f64 #s(literal -1 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1 binary64) t) (patch (/.f64 #s(literal -1 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor inf t) (#s(alt (/.f64 (-.f64 y x) (/.f64 t z)) (patch (/.f64 (-.f64 y x) (/.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor inf t) (#s(alt (/.f64 (-.f64 y x) (/.f64 t z)) (patch (/.f64 (-.f64 y x) (/.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor inf t) (#s(alt (/.f64 (-.f64 y x) (/.f64 t z)) (patch (/.f64 (-.f64 y x) (/.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor inf t) (#s(alt (/.f64 (-.f64 y x) (/.f64 t z)) (patch (/.f64 (-.f64 y x) (/.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf t) (#s(alt (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) (patch (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* z (- y x)) t)) (taylor inf t) (#s(alt (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) (patch (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* z (- y x)) t)) (taylor inf t) (#s(alt (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) (patch (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* z (- y x)) t)) (taylor inf t) (#s(alt (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) (patch (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (/ t z) (taylor inf t) (#s(alt (/.f64 t z) (patch (/.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (/ t z) (taylor inf t) (#s(alt (/.f64 t z) (patch (/.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (/ t z) (taylor inf t) (#s(alt (/.f64 t z) (patch (/.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (/ t z) (taylor inf t) (#s(alt (/.f64 t z) (patch (/.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt x (taylor inf t) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* z (- y x)) t)) (taylor inf t) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* z (- y x)) t)) (taylor inf t) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ (* z (- y x)) t)) (taylor inf t) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor inf t) (#s(alt (/.f64 (*.f64 y z) t) (patch (/.f64 (*.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor inf t) (#s(alt (/.f64 (*.f64 y z) t) (patch (/.f64 (*.f64 y z) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor inf t) (#s(alt (/.f64 (*.f64 y z) t) (patch (/.f64 (*.f64 y z) t) #<representation binary64>) () ())) ()) |
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#s(alt (* x (+ 1 (* -1 (/ z t)))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) (taylor inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor inf x) (#s(alt (*.f64 (neg.f64 z) (-.f64 y x)) (patch (*.f64 (neg.f64 z) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ (* y z) x)))) (taylor inf x) (#s(alt (*.f64 (neg.f64 z) (-.f64 y x)) (patch (*.f64 (neg.f64 z) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ (* y z) x)))) (taylor inf x) (#s(alt (*.f64 (neg.f64 z) (-.f64 y x)) (patch (*.f64 (neg.f64 z) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ z (* -1 (/ (* y z) x)))) (taylor inf x) (#s(alt (*.f64 (neg.f64 z) (-.f64 y x)) (patch (*.f64 (neg.f64 z) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) t)) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) (/.f64 t z)) (patch (/.f64 (-.f64 y x) (/.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) (/.f64 t z)) (patch (/.f64 (-.f64 y x) (/.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) (/.f64 t z)) (patch (/.f64 (-.f64 y x) (/.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) (/.f64 t z)) (patch (/.f64 (-.f64 y x) (/.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z t) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) (patch (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) (patch (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) (patch (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) (patch (+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z t) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) (patch #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z t) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) (patch (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) (patch (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) (patch (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) (patch (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* x z) t)) (taylor -inf x) (#s(alt #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y)) (patch #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) (taylor -inf x) (#s(alt #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y)) (patch #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) (taylor -inf x) (#s(alt #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y)) (patch #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) (taylor -inf x) (#s(alt #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y)) (patch #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z t) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) (patch (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) (patch (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) (patch (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) (patch (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (neg.f64 x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt #s(approx (- y x) (neg.f64 x)) (patch #s(approx (- y x) (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>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z t) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) (patch (fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) #<representation binary64>) () ())) ()) |
#s(alt (* x z) (taylor -inf x) (#s(alt (*.f64 (neg.f64 z) (-.f64 y x)) (patch (*.f64 (neg.f64 z) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ (* y z) x)))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 z) (-.f64 y x)) (patch (*.f64 (neg.f64 z) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ (* y z) x)))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 z) (-.f64 y x)) (patch (*.f64 (neg.f64 z) (-.f64 y x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 z) (/ (* y z) x)))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 z) (-.f64 y x)) (patch (*.f64 (neg.f64 z) (-.f64 y x)) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | inf | ((/ (- y x) (/ t z)) (+ x (/ (- y x) (/ t z))) (- y x) (/ t z) (+ x (/ (* (- y x) z) t)) (/ (* y z) t) (* y z) (+ x (/ (* (- y x) z) t)) (/ (* (- y x) z) t) (* (/ z t) y) (/ z t) (+ (* (/ z t) (- y x)) x) (- y x) (neg x) (+ (* (/ -1 t) (* (neg z) (- y x))) x) (* (neg z) (- y x)) (/ -1 t) (neg z)) |
| 4.0ms | t | @ | 0 | ((/ (- y x) (/ t z)) (+ x (/ (- y x) (/ t z))) (- y x) (/ t z) (+ x (/ (* (- y x) z) t)) (/ (* y z) t) (* y z) (+ x (/ (* (- y x) z) t)) (/ (* (- y x) z) t) (* (/ z t) y) (/ z t) (+ (* (/ z t) (- y x)) x) (- y x) (neg x) (+ (* (/ -1 t) (* (neg z) (- y x))) x) (* (neg z) (- y x)) (/ -1 t) (neg z)) |
| 2.0ms | z | @ | -inf | ((/ (- y x) (/ t z)) (+ x (/ (- y x) (/ t z))) (- y x) (/ t z) (+ x (/ (* (- y x) z) t)) (/ (* y z) t) (* y z) (+ x (/ (* (- y x) z) t)) (/ (* (- y x) z) t) (* (/ z t) y) (/ z t) (+ (* (/ z t) (- y x)) x) (- y x) (neg x) (+ (* (/ -1 t) (* (neg z) (- y x))) x) (* (neg z) (- y x)) (/ -1 t) (neg z)) |
| 2.0ms | t | @ | -inf | ((/ (- y x) (/ t z)) (+ x (/ (- y x) (/ t z))) (- y x) (/ t z) (+ x (/ (* (- y x) z) t)) (/ (* y z) t) (* y z) (+ x (/ (* (- y x) z) t)) (/ (* (- y x) z) t) (* (/ z t) y) (/ z t) (+ (* (/ z t) (- y x)) x) (- y x) (neg x) (+ (* (/ -1 t) (* (neg z) (- y x))) x) (* (neg z) (- y x)) (/ -1 t) (neg z)) |
| 2.0ms | z | @ | inf | ((/ (- y x) (/ t z)) (+ x (/ (- y x) (/ t z))) (- y x) (/ t z) (+ x (/ (* (- y x) z) t)) (/ (* y z) t) (* y z) (+ x (/ (* (- y x) z) t)) (/ (* (- y x) z) t) (* (/ z t) y) (/ z t) (+ (* (/ z t) (- y x)) x) (- y x) (neg x) (+ (* (/ -1 t) (* (neg z) (- y x))) x) (* (neg z) (- y x)) (/ -1 t) (neg z)) |
| 1× | egg-herbie |
| 9 436× | lower-fma.f64 |
| 9 436× | lower-fma.f32 |
| 3 308× | lower-*.f64 |
| 3 308× | lower-*.f32 |
| 962× | lower--.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 108 | 3606 |
| 1 | 350 | 3591 |
| 2 | 1109 | 3561 |
| 3 | 3437 | 3561 |
| 4 | 6520 | 3561 |
| 0 | 8157 | 3381 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ (* z (- y x)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* z (- y x)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ (* z (- y x)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (* z (- y x)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ -1 t) |
(/ -1 t) |
(/ -1 t) |
(/ -1 t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
x |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ t z) |
x |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
x |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
x |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
x |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(/ -1 t) |
(/ -1 t) |
(/ -1 t) |
(/ -1 t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
x |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ t z) |
x |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
x |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
x |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
x |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(/ -1 t) |
(/ -1 t) |
(/ -1 t) |
(/ -1 t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
x |
(+ x (* z (- (/ y t) (/ x t)))) |
(+ x (* z (- (/ y t) (/ x t)))) |
(+ x (* z (- (/ y t) (/ x t)))) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ t z) |
x |
(+ x (* z (- (/ y t) (/ x t)))) |
(+ x (* z (- (/ y t) (/ x t)))) |
(+ x (* z (- (/ y t) (/ x t)))) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
x |
(+ x (* z (- (/ y t) (/ x t)))) |
(+ x (* z (- (/ y t) (/ x t)))) |
(+ x (* z (- (/ y t) (/ x t)))) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
x |
(+ x (* z (- (/ y t) (/ x t)))) |
(+ x (* z (- (/ y t) (/ x t)))) |
(+ x (* z (- (/ y t) (/ x t)))) |
x |
(+ x (* z (- (/ y t) (/ x t)))) |
(+ x (* z (- (/ y t) (/ x t)))) |
(+ x (* z (- (/ y t) (/ x t)))) |
(* -1 (* z (- y x))) |
(* -1 (* z (- y x))) |
(* -1 (* z (- y x))) |
(* -1 (* z (- y x))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(* z (- (/ y t) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ t z) |
(* z (- (/ y t) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* z (- (/ y t) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(* z (- (/ y t) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* z (- (/ y t) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* -1 (* z (- y x))) |
(* -1 (* z (- y x))) |
(* -1 (* z (- y x))) |
(* -1 (* z (- y x))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ (* z (- y x)) t) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* z (- y x)) t) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ (* z (- y x)) t) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(/ (* z (- y x)) t) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(* -1 (* z (- y x))) |
(* -1 (* z (- y x))) |
(* -1 (* z (- y x))) |
(* -1 (* z (- y x))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (/ (* x z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(+ x (* -1 (/ (* x z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
(+ x (* -1 (/ (* x z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(+ x (* -1 (/ (* x z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(* -1 (/ (* x z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(+ x (* -1 (/ (* x z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
(+ x (* -1 (/ (* x z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(* x z) |
(+ (* -1 (* y z)) (* x z)) |
(+ (* -1 (* y z)) (* x z)) |
(+ (* -1 (* y z)) (* x z)) |
(/ (* y z) t) |
(* y (+ (* -1 (/ (* x z) (* t y))) (/ z t))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (/ z t))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (/ z t))) |
(/ (* y z) t) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(/ (* y z) t) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* y z) t) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(/ (* y z) t) |
(* y (+ (* -1 (/ (* x z) (* t y))) (/ z t))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (/ z t))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (/ z t))) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(/ (* y z) t) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(* -1 (* y z)) |
(* y (+ (* -1 z) (/ (* x z) y))) |
(* y (+ (* -1 z) (/ (* x z) y))) |
(* y (+ (* -1 z) (/ (* x z) y))) |
(/ (* y z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) |
(/ (* y z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(/ (* y z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* y z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(/ (* y z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(/ (* y z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(* -1 (* y z)) |
(* -1 (* y (+ z (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ z (* -1 (/ (* x z) y))))) |
(* -1 (* y (+ z (* -1 (/ (* x z) y))))) |
(/ (* y z) t) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(/ (* y z) t) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(* -1 (* y z)) |
(+ (* -1 (* y z)) (* x z)) |
(+ (* -1 (* y z)) (* x z)) |
(+ (* -1 (* y z)) (* x z)) |
(* -1 (/ (* x z) t)) |
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) |
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) |
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) |
(* x (+ 1 (* -1 (/ z t)))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (+ 1 (* -1 (/ z t)))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (* -1 (/ z t)))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* -1 (/ (* x z) t)) |
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) |
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) |
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) |
(* x (+ 1 (* -1 (/ z t)))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* x (+ 1 (* -1 (/ z t)))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x z) |
(* x (+ z (* -1 (/ (* y z) x)))) |
(* x (+ z (* -1 (/ (* y z) x)))) |
(* x (+ z (* -1 (/ (* y z) x)))) |
(* -1 (/ (* x z) t)) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(* -1 (* x (- (/ z t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (- (/ z t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (/ z t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (/ (* x z) t)) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(* -1 (* x (- (/ z t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 (* x (- (/ z t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* x z) |
(* -1 (* x (+ (* -1 z) (/ (* y z) x)))) |
(* -1 (* x (+ (* -1 z) (/ (* y z) x)))) |
(* -1 (* x (+ (* -1 z) (/ (* y z) x)))) |
| Outputs |
|---|
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ t z) |
(/.f64 t z) |
(/ t z) |
(/.f64 t z) |
(/ t z) |
(/.f64 t z) |
(/ t z) |
(/.f64 t z) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 t x (*.f64 (-.f64 y x) z)) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
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(*.f64 (-.f64 x y) z) |
(* -1 (/ (* x z) t)) |
(*.f64 (/.f64 (neg.f64 x) t) z) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* x (- (/ z t) 1))) |
(fma.f64 (neg.f64 z) (/.f64 x t) x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (- (/ z t) 1))) |
(fma.f64 (neg.f64 z) (/.f64 x t) x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* x (- (/ z t) 1))) |
(fma.f64 (neg.f64 z) (/.f64 x t) x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (/ (* x z) t)) |
(*.f64 (/.f64 (neg.f64 x) t) z) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* x (- (/ z t) 1))) |
(fma.f64 (neg.f64 z) (/.f64 x t) x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (- (/ z t) 1))) |
(fma.f64 (neg.f64 z) (/.f64 x t) x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* x z) |
(*.f64 x z) |
(* -1 (* x (+ (* -1 z) (/ (* y z) x)))) |
(*.f64 (-.f64 x y) z) |
(* -1 (* x (+ (* -1 z) (/ (* y z) x)))) |
(*.f64 (-.f64 x y) z) |
(* -1 (* x (+ (* -1 z) (/ (* y z) x)))) |
(*.f64 (-.f64 x y) z) |
| 6 382× | lower-fma.f32 |
| 6 378× | lower-fma.f64 |
| 4 970× | lower-*.f32 |
| 4 964× | lower-*.f64 |
| 4 752× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 27 | 122 |
| 0 | 45 | 120 |
| 1 | 174 | 120 |
| 2 | 1318 | 120 |
| 0 | 8340 | 117 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (-.f64 y x) (/.f64 t z)) |
(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) |
(-.f64 y x) |
(/.f64 t z) |
#s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) |
(/.f64 (*.f64 y z) t) |
(*.f64 y z) |
(+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) |
#s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y)) |
(*.f64 (/.f64 z t) y) |
(/.f64 z t) |
(fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) |
#s(approx (- y x) (neg.f64 x)) |
(neg.f64 x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) |
(*.f64 (neg.f64 z) (-.f64 y x)) |
(/.f64 #s(literal -1 binary64) t) |
(neg.f64 z) |
| Outputs |
|---|
(*.f64 (/.f64 (+.f64 x y) (/.f64 t z)) (/.f64 (-.f64 y x) (+.f64 x y))) |
(*.f64 (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (/.f64 t z)) (/.f64 (-.f64 y x) (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(*.f64 (/.f64 (*.f64 (-.f64 y x) #s(literal -1 binary64)) t) (/.f64 z #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 z t)) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (neg.f64 t))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 z #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) t)) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 t z))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 t))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) t)) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 t z))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 t)) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) t) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 t)) (/.f64 (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) t) (/.f64 (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 z) t)) |
(*.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 y x)) t)) |
(*.f64 (/.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal -1 binary64)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 y x) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (/.f64 (-.f64 y x) (pow.f64 z #s(literal -1 binary64))) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 (-.f64 y x)) t) (/.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 t z) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (/.f64 t z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (-.f64 y x) #s(literal 1 binary64)) (/.f64 z t)) |
(*.f64 (/.f64 (-.f64 y x) (neg.f64 t)) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 z) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 y x) (neg.f64 t)) (neg.f64 z)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (-.f64 y x)) (neg.f64 z)) |
(*.f64 (/.f64 (neg.f64 z) t) (/.f64 (-.f64 y x) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (neg.f64 z) (-.f64 y x)) t) #s(literal -1 binary64)) |
(*.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (-.f64 y x) t)) |
(*.f64 (/.f64 (-.f64 y x) t) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 y x) t) (/.f64 z #s(literal 1 binary64))) |
(*.f64 (/.f64 (-.f64 y x) t) z) |
(*.f64 (*.f64 (neg.f64 (-.f64 y x)) (neg.f64 z)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (-.f64 y x) (pow.f64 z #s(literal -1 binary64)))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 z (-.f64 y x))) |
(*.f64 (neg.f64 (-.f64 y x)) (/.f64 #s(literal -1 binary64) (/.f64 t z))) |
(*.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 y x)) t)) |
(*.f64 (*.f64 (neg.f64 z) (-.f64 y x)) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 (neg.f64 z) (/.f64 (-.f64 y x) (neg.f64 t))) |
(*.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (-.f64 y x) (neg.f64 (pow.f64 z #s(literal -1 binary64))))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (*.f64 z (-.f64 y x)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x))) |
(*.f64 #s(literal -1 binary64) (*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (neg.f64 z) (-.f64 y x)))) |
(*.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 z) (-.f64 y x)) t)) |
(*.f64 (/.f64 z t) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 z t) (/.f64 (-.f64 y x) #s(literal 1 binary64))) |
(*.f64 (/.f64 z t) (-.f64 y x)) |
(*.f64 (*.f64 z (-.f64 y x)) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 z (/.f64 (-.f64 y x) t)) |
(*.f64 (-.f64 y x) (/.f64 z t)) |
(pow.f64 (/.f64 t (*.f64 (neg.f64 (-.f64 y x)) (neg.f64 z))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 t (*.f64 z (-.f64 y x))) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 t (*.f64 z (-.f64 y x))) #s(literal -1 binary64)) |
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 t z) y) #s(literal -3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (/.f64 z t)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 t z) y) #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 (neg.f64 x) (/.f64 z t)) (*.f64 (neg.f64 x) (/.f64 z t))) (*.f64 (*.f64 (/.f64 z t) y) (*.f64 (neg.f64 x) (/.f64 z t)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 t z) y) #s(literal -3 binary64)) (pow.f64 (*.f64 (/.f64 z t) (neg.f64 x)) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 t z) y) #s(literal -2 binary64)) (-.f64 (*.f64 (*.f64 (/.f64 z t) (neg.f64 x)) (*.f64 (/.f64 z t) (neg.f64 x))) (*.f64 (*.f64 (/.f64 z t) y) (*.f64 (/.f64 z t) (neg.f64 x)))))) |
(/.f64 (+.f64 (pow.f64 (/.f64 (/.f64 t z) y) #s(literal -3 binary64)) (pow.f64 (neg.f64 (*.f64 x (/.f64 z t))) #s(literal 3 binary64))) (+.f64 (pow.f64 (/.f64 (/.f64 t z) y) #s(literal -2 binary64)) (-.f64 (*.f64 (neg.f64 (*.f64 x (/.f64 z t))) (neg.f64 (*.f64 x (/.f64 z t)))) (*.f64 (*.f64 (/.f64 z t) y) (neg.f64 (*.f64 x (/.f64 z t))))))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (/.f64 z t))) (neg.f64 (+.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (/.f64 z t))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (/.f64 z t) (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (+.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (/.f64 z t) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 t z) y) #s(literal -2 binary64)) (pow.f64 (*.f64 x (/.f64 z t)) #s(literal 2 binary64)))) (neg.f64 (fma.f64 (/.f64 y t) z (*.f64 x (/.f64 z t))))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (/.f64 (/.f64 t z) y) #s(literal -3 binary64)) (pow.f64 (*.f64 x (/.f64 z t)) #s(literal 3 binary64)))) (neg.f64 (+.f64 (pow.f64 (/.f64 (/.f64 t z) y) #s(literal -2 binary64)) (+.f64 (pow.f64 (*.f64 x (/.f64 z t)) #s(literal 2 binary64)) (*.f64 (*.f64 (/.f64 z t) y) (*.f64 x (/.f64 z t))))))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 (-.f64 y x)) (neg.f64 z)))) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 (-.f64 y x)))) (/.f64 (neg.f64 t) z)) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64))) (neg.f64 (*.f64 (+.f64 x y) (/.f64 t z)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64))) (neg.f64 (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (/.f64 t z)))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y (/.f64 t z)) (*.f64 (/.f64 t z) x))) (neg.f64 (pow.f64 (/.f64 z t) #s(literal -2 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 z))) (neg.f64 (*.f64 (+.f64 x y) (neg.f64 t)))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 z))) (neg.f64 (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (neg.f64 t)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) z)) (neg.f64 (*.f64 (+.f64 x y) t))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) z)) (neg.f64 (*.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) t))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (-.f64 y x)))) (neg.f64 (*.f64 t #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (*.f64 (neg.f64 z) (-.f64 y x)))) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 1 binary64))) (neg.f64 (*.f64 t #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal 1 binary64))) (neg.f64 (neg.f64 t))) |
(/.f64 (neg.f64 (*.f64 (*.f64 z (-.f64 y x)) #s(literal 1 binary64))) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 (-.f64 y x) #s(literal 1 binary64))) (/.f64 (neg.f64 t) z)) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) y) (pow.f64 z #s(literal -1 binary64))) (*.f64 (/.f64 t z) (/.f64 x t))) (*.f64 (/.f64 t z) (pow.f64 z #s(literal -1 binary64)))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 (/.f64 t z) x)) (*.f64 (/.f64 t z) #s(literal 1 binary64))) (*.f64 (/.f64 t z) (/.f64 (/.f64 t z) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 (neg.f64 t) z)) (*.f64 (/.f64 t z) (neg.f64 x))) (*.f64 (/.f64 t z) (/.f64 (neg.f64 t) z))) |
(/.f64 (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 t z)) (*.f64 (/.f64 t z) x)) (pow.f64 (/.f64 z t) #s(literal -2 binary64))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) (*.f64 t (/.f64 x t))) (/.f64 t z)) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal 1 binary64)) (/.f64 (/.f64 t z) x)) (*.f64 t #s(literal 1 binary64))) (*.f64 t (/.f64 (/.f64 t z) x))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal 1 binary64)) (/.f64 (neg.f64 t) z)) (*.f64 t (neg.f64 x))) (*.f64 t (/.f64 (neg.f64 t) z))) |
(/.f64 (-.f64 (*.f64 (*.f64 (*.f64 z y) #s(literal 1 binary64)) (/.f64 t z)) (*.f64 t x)) (*.f64 t (/.f64 t z))) |
(/.f64 (-.f64 (*.f64 (*.f64 y #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) (*.f64 (/.f64 t z) (/.f64 x t))) (*.f64 (/.f64 t z) (pow.f64 z #s(literal -1 binary64)))) |
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(fma.f64 (/.f64 (+.f64 x y) (/.f64 t z)) (/.f64 (-.f64 y x) (+.f64 x y)) x) |
(fma.f64 (/.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) (/.f64 t z)) (/.f64 (-.f64 y x) (fma.f64 x (+.f64 x y) (*.f64 y y))) x) |
(fma.f64 (/.f64 (*.f64 (-.f64 y x) #s(literal -1 binary64)) t) (/.f64 z #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (*.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 z t) x) |
(fma.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (neg.f64 t)) x) |
(fma.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (pow.f64 z #s(literal -1 binary64))) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) t) x) |
(fma.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) #s(literal 1 binary64)) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (/.f64 t z)) x) |
(fma.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (neg.f64 t)) x) |
(fma.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (pow.f64 z #s(literal -1 binary64))) (/.f64 (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) t) x) |
(fma.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) #s(literal 1 binary64)) (/.f64 (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (/.f64 t z)) x) |
(fma.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 t)) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (*.f64 (+.f64 x y) (-.f64 y x)) t) (/.f64 (pow.f64 (+.f64 x y) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 t)) (/.f64 (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) t) (/.f64 (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (-.f64 y x) #s(literal -1 binary64)) (/.f64 (neg.f64 z) t) x) |
(fma.f64 (/.f64 z #s(literal -1 binary64)) (/.f64 (neg.f64 (-.f64 y x)) t) x) |
(fma.f64 (/.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal -1 binary64)) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (-.f64 y x) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 (/.f64 (-.f64 y x) (pow.f64 z #s(literal -1 binary64))) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (neg.f64 (-.f64 y x)) t) (/.f64 z #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 (/.f64 (/.f64 t z) (*.f64 (+.f64 x y) (-.f64 y x))) #s(literal -1 binary64)) (pow.f64 (+.f64 x y) #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 (/.f64 (/.f64 t z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) #s(literal -1 binary64)) (pow.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (-.f64 y x) #s(literal 1 binary64)) (/.f64 z t) x) |
(fma.f64 (/.f64 (-.f64 y x) (neg.f64 t)) (/.f64 #s(literal 1 binary64) (pow.f64 (neg.f64 z) #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (-.f64 y x) (neg.f64 t)) (neg.f64 z) x) |
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) t) (-.f64 y x)) (neg.f64 z) x) |
(fma.f64 (/.f64 (neg.f64 z) t) (/.f64 (-.f64 y x) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 (*.f64 (neg.f64 z) (-.f64 y x)) t) #s(literal -1 binary64) x) |
(fma.f64 (/.f64 z #s(literal 1 binary64)) (/.f64 (-.f64 y x) t) x) |
(fma.f64 (/.f64 (-.f64 y x) t) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) x) |
(fma.f64 (/.f64 (-.f64 y x) t) (/.f64 z #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(fma.f64 (*.f64 (neg.f64 (-.f64 y x)) (neg.f64 z)) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (*.f64 (neg.f64 z) (-.f64 y x)) #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (/.f64 (-.f64 y x) (pow.f64 z #s(literal -1 binary64))) x) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 z #s(literal -1 binary64)) (-.f64 y x)) #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 z (-.f64 y x)) x) |
(fma.f64 (neg.f64 (-.f64 y x)) (/.f64 #s(literal -1 binary64) (/.f64 t z)) x) |
(fma.f64 #s(literal 1 binary64) (/.f64 (*.f64 z (-.f64 y x)) t) x) |
(fma.f64 (*.f64 (neg.f64 z) (-.f64 y x)) (/.f64 #s(literal -1 binary64) t) x) |
(fma.f64 (neg.f64 z) (/.f64 (-.f64 y x) (neg.f64 t)) x) |
(fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (-.f64 y x) (neg.f64 (pow.f64 z #s(literal -1 binary64)))) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (/.f64 (*.f64 z (-.f64 y x)) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) |
(fma.f64 #s(literal -1 binary64) (*.f64 (pow.f64 t #s(literal -1 binary64)) (*.f64 (neg.f64 z) (-.f64 y x))) x) |
(fma.f64 #s(literal -1 binary64) (/.f64 (*.f64 (neg.f64 z) (-.f64 y x)) t) x) |
(fma.f64 (/.f64 z t) (pow.f64 (pow.f64 (-.f64 y x) #s(literal -1 binary64)) #s(literal -1 binary64)) x) |
(fma.f64 (/.f64 z t) (/.f64 (-.f64 y x) #s(literal 1 binary64)) x) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(fma.f64 (*.f64 z (-.f64 y x)) (pow.f64 t #s(literal -1 binary64)) x) |
(fma.f64 z (/.f64 (-.f64 y x) t) x) |
(fma.f64 (-.f64 y x) (/.f64 z t) x) |
(-.f64 (+.f64 x (*.f64 (/.f64 z t) y)) (*.f64 x (/.f64 z t))) |
(-.f64 (/.f64 (*.f64 x x) (-.f64 x (/.f64 (*.f64 z (-.f64 y x)) t))) (/.f64 (pow.f64 (/.f64 (*.f64 z (-.f64 y x)) t) #s(literal 2 binary64)) (-.f64 x (/.f64 (*.f64 z (-.f64 y x)) t)))) |
(-.f64 (/.f64 (pow.f64 (/.f64 (*.f64 z (-.f64 y x)) t) #s(literal 2 binary64)) (-.f64 (/.f64 (*.f64 z (-.f64 y x)) t) x)) (/.f64 (*.f64 x x) (-.f64 (/.f64 (*.f64 z (-.f64 y x)) t) x))) |
(-.f64 (*.f64 (/.f64 z t) y) (-.f64 (*.f64 x (/.f64 z t)) x)) |
(+.f64 (/.f64 (*.f64 z (-.f64 y x)) t) x) |
(+.f64 x (/.f64 (*.f64 z (-.f64 y x)) t)) |
(*.f64 (*.f64 (-.f64 y x) #s(literal -1 binary64)) z) |
(*.f64 (neg.f64 (-.f64 y x)) z) |
(*.f64 (neg.f64 z) (-.f64 y x)) |
(*.f64 #s(literal -1 binary64) (*.f64 z (-.f64 y x))) |
(*.f64 z (neg.f64 (-.f64 y x))) |
(*.f64 (-.f64 y x) (neg.f64 z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 z (-.f64 y x)) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 z (-.f64 y x)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 x) (neg.f64 z)) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 (neg.f64 z) y) (-.f64 (*.f64 (*.f64 (neg.f64 x) (neg.f64 z)) (*.f64 (neg.f64 x) (neg.f64 z))) (*.f64 (*.f64 (neg.f64 z) y) (*.f64 (neg.f64 x) (neg.f64 z)))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (neg.f64 z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (neg.f64 z) (neg.f64 x)) #s(literal 3 binary64))) (fma.f64 (*.f64 (neg.f64 z) y) (*.f64 (neg.f64 z) y) (-.f64 (*.f64 (*.f64 (neg.f64 z) (neg.f64 x)) (*.f64 (neg.f64 z) (neg.f64 x))) (*.f64 (*.f64 (neg.f64 z) y) (*.f64 (neg.f64 z) (neg.f64 x)))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (*.f64 (+.f64 x y) (-.f64 y x)))) (neg.f64 (+.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(/.f64 (neg.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 z))) (neg.f64 (+.f64 x y))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 z))) (neg.f64 (fma.f64 x (+.f64 x y) (*.f64 y y)))) |
(/.f64 (*.f64 (neg.f64 z) (*.f64 (+.f64 x y) (-.f64 y x))) (+.f64 x y)) |
(/.f64 (*.f64 (neg.f64 z) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64)))) (fma.f64 x (+.f64 x y) (*.f64 y y))) |
(/.f64 (*.f64 (*.f64 (+.f64 x y) (-.f64 y x)) (neg.f64 z)) (+.f64 x y)) |
(/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 x #s(literal 3 binary64))) (neg.f64 z)) (fma.f64 x (+.f64 x y) (*.f64 y y))) |
(neg.f64 (*.f64 z (-.f64 y x))) |
(fma.f64 (neg.f64 y) z (*.f64 (neg.f64 x) (neg.f64 z))) |
(fma.f64 (neg.f64 y) z (*.f64 (neg.f64 z) (neg.f64 x))) |
(fma.f64 (neg.f64 z) y (*.f64 (neg.f64 x) (neg.f64 z))) |
(fma.f64 (neg.f64 z) y (*.f64 (neg.f64 z) (neg.f64 x))) |
(fma.f64 #s(literal -1 binary64) (*.f64 z y) (*.f64 (neg.f64 x) (neg.f64 z))) |
(fma.f64 #s(literal -1 binary64) (*.f64 z y) (*.f64 (neg.f64 z) (neg.f64 x))) |
(fma.f64 z (neg.f64 y) (*.f64 (neg.f64 x) (neg.f64 z))) |
(fma.f64 z (neg.f64 y) (*.f64 (neg.f64 z) (neg.f64 x))) |
(fma.f64 y (neg.f64 z) (*.f64 (neg.f64 x) (neg.f64 z))) |
(fma.f64 y (neg.f64 z) (*.f64 (neg.f64 z) (neg.f64 x))) |
(-.f64 #s(literal 0 binary64) (*.f64 z (-.f64 y x))) |
(+.f64 (*.f64 (neg.f64 z) y) (*.f64 (neg.f64 x) (neg.f64 z))) |
(+.f64 (*.f64 (neg.f64 z) y) (*.f64 (neg.f64 z) (neg.f64 x))) |
(*.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 #s(literal -1 binary64) (pow.f64 t #s(literal -1 binary64))) |
(pow.f64 (/.f64 (*.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (neg.f64 t) #s(literal -1 binary64)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (*.f64 t #s(literal -1 binary64))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (neg.f64 t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 t #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (*.f64 t #s(literal -1 binary64))) |
(/.f64 #s(literal 1 binary64) (neg.f64 t)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 t #s(literal -1 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (*.f64 t #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 t))) |
(/.f64 #s(literal -1 binary64) t) |
(neg.f64 (pow.f64 t #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (*.f64 t #s(literal -1 binary64))) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (neg.f64 t)) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) z) |
(*.f64 z #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 z) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 #s(literal 0 binary64) (neg.f64 z))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z))) (neg.f64 (+.f64 #s(literal 0 binary64) z))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 z z)) (+.f64 #s(literal 0 binary64) z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 z #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) |
(neg.f64 z) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) z)) (/.f64 (*.f64 z z) (+.f64 #s(literal 0 binary64) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z)))) (/.f64 (pow.f64 z #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 z z (*.f64 #s(literal 0 binary64) z))))) |
(-.f64 #s(literal 0 binary64) z) |
(+.f64 #s(literal 0 binary64) (neg.f64 z)) |
Compiled 22 491 to 2 354 computations (89.5% saved)
16 alts after pruning (11 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 505 | 3 | 1 508 |
| Fresh | 2 | 8 | 10 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 509 | 16 | 1 525 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 91.2% | (fma.f64 (/.f64 (-.f64 y x) t) z x) |
| ✓ | 61.9% | (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) |
| ✓ | 91.1% | (fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) |
| 58.0% | (fma.f64 (neg.f64 z) #s(approx (* (- y x) (/ -1 t)) (/.f64 x t)) x) | |
| 59.9% | (fma.f64 #s(approx (+ (* (neg x) x) (* y y)) (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) | |
| 55.0% | (+.f64 x (/.f64 (-.f64 (*.f64 (*.f64 z y) (/.f64 (/.f64 t z) x)) (*.f64 t #s(literal 1 binary64))) (*.f64 t (/.f64 (/.f64 t z) x)))) | |
| ▶ | 98.0% | (+.f64 x (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))))) |
| ▶ | 77.5% | (+.f64 x (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t)) |
| ✓ | 79.7% | (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) |
| 87.9% | (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (neg.f64 y) (*.f64 (/.f64 z t) (-.f64 (/.f64 x y) #s(literal 1 binary64)))))) | |
| 60.7% | #s(approx (+ (* (/ z t) (- y x)) x) (/.f64 (*.f64 (-.f64 y x) z) t)) | |
| ▶ | 45.1% | #s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) |
| ✓ | 43.2% | #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) |
| ▶ | 40.3% | #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) |
| 45.1% | #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 y (/.f64 t z))) | |
| ✓ | 40.1% | #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) |
Compiled 267 to 240 computations (10.1% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 t y) | |
| cost-diff | 0 | #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) | |
| cost-diff | 384 | (/.f64 z (/.f64 t y)) | |
| cost-diff | 0 | (-.f64 y x) | |
| cost-diff | 0 | (/.f64 (-.f64 y x) t) | |
| cost-diff | 0 | (fma.f64 (/.f64 (-.f64 y x) t) z x) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | #s(approx (* (- y x) z) (*.f64 y z)) | |
| cost-diff | 0 | (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t)) | |
| cost-diff | 0 | (/.f64 z t) | |
| cost-diff | 0 | (*.f64 (/.f64 z t) y) | |
| cost-diff | 0 | #s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) | |
| cost-diff | 128 | (+.f64 x (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))))) | |
| cost-diff | 192 | (*.f64 t #s(literal -1 binary64)) | |
| cost-diff | 384 | (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64)))) | |
| cost-diff | 448 | (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))) |
| 1 632× | lower-fma.f32 |
| 1 630× | lower-fma.f64 |
| 848× | lower-*.f32 |
| 840× | lower-*.f64 |
| 652× | associate-/r* |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 157 |
| 0 | 46 | 160 |
| 1 | 75 | 151 |
| 2 | 139 | 141 |
| 3 | 314 | 141 |
| 4 | 866 | 141 |
| 5 | 2199 | 141 |
| 6 | 3119 | 141 |
| 7 | 3848 | 141 |
| 8 | 4108 | 141 |
| 9 | 4200 | 141 |
| 10 | 4217 | 141 |
| 11 | 4217 | 141 |
| 12 | 4245 | 141 |
| 13 | 4285 | 141 |
| 14 | 4303 | 141 |
| 15 | 4333 | 141 |
| 16 | 4333 | 141 |
| 0 | 4333 | 141 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))))) |
x |
(/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64)))) |
(-.f64 y x) |
y |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 t #s(literal -1 binary64)) |
t |
#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) |
(*.f64 (/.f64 z t) y) |
(/.f64 z t) |
z |
t |
y |
(+.f64 x (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t)) |
x |
(/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t) |
#s(approx (* (- y x) z) (*.f64 y z)) |
(*.f64 y z) |
y |
z |
t |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/.f64 (-.f64 y x) t) |
(-.f64 y x) |
y |
x |
t |
z |
#s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) |
(/.f64 z (/.f64 t y)) |
z |
(/.f64 t y) |
t |
y |
| Outputs |
|---|
(+.f64 x (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
x |
(/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64)))) |
(*.f64 (/.f64 (-.f64 y x) t) z) |
(-.f64 y x) |
y |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))) |
(/.f64 t z) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 t #s(literal -1 binary64)) |
(neg.f64 t) |
t |
#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) |
(*.f64 (/.f64 z t) y) |
(/.f64 z t) |
z |
t |
y |
(+.f64 x (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t)) |
(+.f64 (/.f64 #s(approx (* (- y x) z) (*.f64 z y)) t) x) |
x |
(/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t) |
(/.f64 #s(approx (* (- y x) z) (*.f64 z y)) t) |
#s(approx (* (- y x) z) (*.f64 y z)) |
#s(approx (* (- y x) z) (*.f64 z y)) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
t |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/.f64 (-.f64 y x) t) |
(-.f64 y x) |
y |
x |
t |
z |
#s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) |
#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) |
(/.f64 z (/.f64 t y)) |
(*.f64 (/.f64 z t) y) |
z |
(/.f64 t y) |
t |
y |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 t y) | |
| accuracy | 6.548588416646049 | (/.f64 z (/.f64 t y)) | |
| accuracy | 35.19777573553311 | #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) | |
| accuracy | 0 | (-.f64 y x) | |
| accuracy | 0.0078125 | (/.f64 (-.f64 y x) t) | |
| accuracy | 5.645327900309647 | (fma.f64 (/.f64 (-.f64 y x) t) z x) | |
| accuracy | 0 | (*.f64 y z) | |
| accuracy | 0.01171875 | (+.f64 x (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t)) | |
| accuracy | 3.6812893542638534 | (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t) | |
| accuracy | 26.916317034452856 | #s(approx (* (- y x) z) (*.f64 y z)) | |
| accuracy | 0 | (/.f64 z t) | |
| accuracy | 4.847274045777447 | (*.f64 (/.f64 z t) y) | |
| accuracy | 35.19777573553311 | #s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) | |
| accuracy | 0 | (*.f64 t #s(literal -1 binary64)) | |
| accuracy | 0.01171875 | (+.f64 x (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))))) | |
| accuracy | 0.234375 | (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))) | |
| accuracy | 4.645161597540141 | (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64)))) |
| 83.0ms | 256× | 0 | valid |
Compiled 136 to 26 computations (80.9% saved)
ival-div: 40.0ms (65.3% of total)ival-mult: 15.0ms (24.5% of total)ival-add: 4.0ms (6.5% of total)ival-sub: 2.0ms (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 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64)))) (patch (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (*.f64 t #s(literal -1 binary64)) (patch (*.f64 t #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))))) (patch (+.f64 x (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) (patch #s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) #<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 x (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t)) (patch (+.f64 x (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t) (patch (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- y x) z) (*.f64 y z)) (patch #s(approx (* (- y x) z) (*.f64 y z)) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (-.f64 y x) t) z x) (patch (fma.f64 (/.f64 (-.f64 y x) t) z x) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 y x) t) (patch (/.f64 (-.f64 y x) t) #<representation binary64>) () ()) |
#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ()) |
#s(alt (/.f64 z (/.f64 t y)) (patch (/.f64 z (/.f64 t y)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) (patch #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) #<representation binary64>) () ()) |
#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ t z) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ t z) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ t z) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ t z) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64)))) (patch (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64)))) (patch (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64)))) (patch (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64)))) (patch (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor 0 t) (#s(alt (*.f64 t #s(literal -1 binary64)) (patch (*.f64 t #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor 0 t) (#s(alt (*.f64 t #s(literal -1 binary64)) (patch (*.f64 t #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor 0 t) (#s(alt (*.f64 t #s(literal -1 binary64)) (patch (*.f64 t #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor 0 t) (#s(alt (*.f64 t #s(literal -1 binary64)) (patch (*.f64 t #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (+.f64 x (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))))) (patch (+.f64 x (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (+.f64 x (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))))) (patch (+.f64 x (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (+.f64 x (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))))) (patch (+.f64 x (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (+.f64 x (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))))) (patch (+.f64 x (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt #s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) (patch #s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt #s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) (patch #s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt #s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) (patch #s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt #s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) (patch #s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) y) (patch (*.f64 (/.f64 z t) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) y) (patch (*.f64 (/.f64 z t) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) y) (patch (*.f64 (/.f64 z t) y) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (*.f64 (/.f64 z t) y) (patch (*.f64 (/.f64 z t) y) #<representation binary64>) () ())) ()) |
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ z t) (taylor 0 t) (#s(alt (/.f64 z t) (patch (/.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (+.f64 x (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t)) (patch (+.f64 x (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (+.f64 x (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t)) (patch (+.f64 x (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (+.f64 x (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t)) (patch (+.f64 x (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (+.f64 x (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t)) (patch (+.f64 x (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t) (patch (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t) (patch (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t) (patch (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t) (patch (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 (-.f64 y x) t) z x) (patch (fma.f64 (/.f64 (-.f64 y x) t) z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 (-.f64 y x) t) z x) (patch (fma.f64 (/.f64 (-.f64 y x) t) z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 (-.f64 y x) t) z x) (patch (fma.f64 (/.f64 (-.f64 y x) t) z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt (fma.f64 (/.f64 (-.f64 y x) t) z x) (patch (fma.f64 (/.f64 (-.f64 y x) t) z x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) t) (taylor 0 t) (#s(alt (/.f64 (-.f64 y x) t) (patch (/.f64 (-.f64 y x) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) t) (taylor 0 t) (#s(alt (/.f64 (-.f64 y x) t) (patch (/.f64 (-.f64 y x) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) t) (taylor 0 t) (#s(alt (/.f64 (-.f64 y x) t) (patch (/.f64 (-.f64 y x) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y x) t) (taylor 0 t) (#s(alt (/.f64 (-.f64 y x) t) (patch (/.f64 (-.f64 y x) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (/.f64 z (/.f64 t y)) (patch (/.f64 z (/.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (/.f64 z (/.f64 t y)) (patch (/.f64 z (/.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (/.f64 z (/.f64 t y)) (patch (/.f64 z (/.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* y z) t) (taylor 0 t) (#s(alt (/.f64 z (/.f64 t y)) (patch (/.f64 z (/.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* z (- y x)) t) (taylor 0 t) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) (patch #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) (patch #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) (patch #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* t x) (* z (- y x))) t) (taylor 0 t) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) (patch #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) #<representation binary64>) () ())) ()) |
#s(alt (/ t y) (taylor 0 t) (#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (/ t y) (taylor 0 t) (#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (/ t y) (taylor 0 t) (#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (/ t y) (taylor 0 t) (#s(alt (/.f64 t y) (patch (/.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (/ t z) (taylor inf t) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ t z) (taylor inf t) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ t z) (taylor inf t) (#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x z)) (taylor -inf x) (#s(alt #s(approx (* (- y x) z) (*.f64 y z)) (patch #s(approx (* (- y x) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ z (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* (- y x) z) (*.f64 y z)) (patch #s(approx (* (- y x) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ z (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* (- y x) z) (*.f64 y z)) (patch #s(approx (* (- y x) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ z (* -1 (/ (* y z) x))))) (taylor -inf x) (#s(alt #s(approx (* (- y x) z) (*.f64 y z)) (patch #s(approx (* (- y x) z) (*.f64 y z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z t) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 y x) t) z x) (patch (fma.f64 (/.f64 (-.f64 y x) t) z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 y x) t) z x) (patch (fma.f64 (/.f64 (-.f64 y x) t) z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 y x) t) z x) (patch (fma.f64 (/.f64 (-.f64 y x) t) z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt (fma.f64 (/.f64 (-.f64 y x) t) z x) (patch (fma.f64 (/.f64 (-.f64 y x) t) z x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x t)) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) t) (patch (/.f64 (-.f64 y x) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* t x))) (/ 1 t)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) t) (patch (/.f64 (-.f64 y x) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* t x))) (/ 1 t)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) t) (patch (/.f64 (-.f64 y x) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ (* -1 (/ y (* t x))) (/ 1 t)))) (taylor -inf x) (#s(alt (/.f64 (-.f64 y x) t) (patch (/.f64 (-.f64 y x) t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ 1 (* -1 (/ y x))))) (taylor -inf x) (#s(alt (-.f64 y x) (patch (-.f64 y x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (/ z t) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) (patch #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) (patch #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) (patch #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) (taylor -inf x) (#s(alt #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) (patch #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | y | @ | 0 | ((* (/ -1 z) (* t -1)) (/ (- y x) (* (/ -1 z) (* t -1))) (* t -1) (+ x (/ (- y x) (* (/ -1 z) (* t -1)))) (+ (* (/ z t) (- y x)) x) (* (/ z t) y) (/ z t) (+ x (/ (* (- y x) z) t)) (/ (* (- y x) z) t) (* (- y x) z) (* y z) (+ (* (/ (- y x) t) z) x) (/ (- y x) t) (- y x) (/ z (/ t y)) (+ x (/ (* (- y x) z) t)) (/ t y)) |
| 2.0ms | t | @ | -inf | ((* (/ -1 z) (* t -1)) (/ (- y x) (* (/ -1 z) (* t -1))) (* t -1) (+ x (/ (- y x) (* (/ -1 z) (* t -1)))) (+ (* (/ z t) (- y x)) x) (* (/ z t) y) (/ z t) (+ x (/ (* (- y x) z) t)) (/ (* (- y x) z) t) (* (- y x) z) (* y z) (+ (* (/ (- y x) t) z) x) (/ (- y x) t) (- y x) (/ z (/ t y)) (+ x (/ (* (- y x) z) t)) (/ t y)) |
| 2.0ms | z | @ | -inf | ((* (/ -1 z) (* t -1)) (/ (- y x) (* (/ -1 z) (* t -1))) (* t -1) (+ x (/ (- y x) (* (/ -1 z) (* t -1)))) (+ (* (/ z t) (- y x)) x) (* (/ z t) y) (/ z t) (+ x (/ (* (- y x) z) t)) (/ (* (- y x) z) t) (* (- y x) z) (* y z) (+ (* (/ (- y x) t) z) x) (/ (- y x) t) (- y x) (/ z (/ t y)) (+ x (/ (* (- y x) z) t)) (/ t y)) |
| 2.0ms | t | @ | inf | ((* (/ -1 z) (* t -1)) (/ (- y x) (* (/ -1 z) (* t -1))) (* t -1) (+ x (/ (- y x) (* (/ -1 z) (* t -1)))) (+ (* (/ z t) (- y x)) x) (* (/ z t) y) (/ z t) (+ x (/ (* (- y x) z) t)) (/ (* (- y x) z) t) (* (- y x) z) (* y z) (+ (* (/ (- y x) t) z) x) (/ (- y x) t) (- y x) (/ z (/ t y)) (+ x (/ (* (- y x) z) t)) (/ t y)) |
| 2.0ms | t | @ | 0 | ((* (/ -1 z) (* t -1)) (/ (- y x) (* (/ -1 z) (* t -1))) (* t -1) (+ x (/ (- y x) (* (/ -1 z) (* t -1)))) (+ (* (/ z t) (- y x)) x) (* (/ z t) y) (/ z t) (+ x (/ (* (- y x) z) t)) (/ (* (- y x) z) t) (* (- y x) z) (* y z) (+ (* (/ (- y x) t) z) x) (/ (- y x) t) (- y x) (/ z (/ t y)) (+ x (/ (* (- y x) z) t)) (/ t y)) |
| 1× | egg-herbie |
| 10 336× | lower-fma.f64 |
| 10 336× | lower-fma.f32 |
| 3 022× | lower-*.f64 |
| 3 022× | lower-*.f32 |
| 994× | div-sub |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 125 | 3696 |
| 1 | 404 | 3681 |
| 2 | 1286 | 3681 |
| 3 | 3980 | 3681 |
| 4 | 6897 | 3681 |
| 0 | 8188 | 3501 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ t z) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(/ (* z (- y x)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (* z (- y x)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ (* z (- y x)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (- y x) t) |
(/ (- y x) t) |
(/ (- y x) t) |
(/ (- y x) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* z (- y x)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
x |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
x |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
x |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
x |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(/ (- y x) t) |
(/ (- y x) t) |
(/ (- y x) t) |
(/ (- y x) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
x |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
x |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
x |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
x |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
x |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(/ (- y x) t) |
(/ (- y x) t) |
(/ (- y x) t) |
(/ (- y x) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
x |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(+ x (/ (* z (- y x)) t)) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
x |
(+ x (* z (- (/ y t) (/ x t)))) |
(+ x (* z (- (/ y t) (/ x t)))) |
(+ x (* z (- (/ y t) (/ x t)))) |
x |
(+ x (* z (- (/ y t) (/ x t)))) |
(+ x (* z (- (/ y t) (/ x t)))) |
(+ x (* z (- (/ y t) (/ x t)))) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
x |
(+ x (* z (- (/ y t) (/ x t)))) |
(+ x (* z (- (/ y t) (/ x t)))) |
(+ x (* z (- (/ y t) (/ x t)))) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(* z (- y x)) |
(* z (- y x)) |
(* z (- y x)) |
(* z (- y x)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
x |
(+ x (* z (- (/ y t) (/ x t)))) |
(+ x (* z (- (/ y t) (/ x t)))) |
(+ x (* z (- (/ y t) (/ x t)))) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
x |
(+ x (* z (- (/ y t) (/ x t)))) |
(+ x (* z (- (/ y t) (/ x t)))) |
(+ x (* z (- (/ y t) (/ x t)))) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(* z (- (/ y t) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* z (- (/ y t) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(* z (- (/ y t) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(* z (- y x)) |
(* z (- y x)) |
(* z (- y x)) |
(* z (- y x)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* z (- (/ y t) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(* z (- (/ y t) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(* z (- (+ (/ x z) (/ y t)) (/ x t))) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ t z) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(/ (* z (- y x)) t) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ z t) |
(/ (* z (- y x)) t) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(/ (* z (- y x)) t) |
(* z (- y x)) |
(* z (- y x)) |
(* z (- y x)) |
(* z (- y x)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* z (- y x)) t) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* z (- y x)) t) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(* -1 (* z (+ (* -1 (/ x z)) (* -1 (/ (- y x) t))))) |
(* -1 (/ (* x z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(+ x (* -1 (/ (* x z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(+ x (* -1 (/ (* x z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(+ x (* -1 (/ (* x z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(* -1 (/ (* x z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(* -1 (* x z)) |
(+ (* -1 (* x z)) (* y z)) |
(+ (* -1 (* x z)) (* y z)) |
(+ (* -1 (* x z)) (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(+ x (* -1 (/ (* x z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(* -1 (/ x t)) |
(+ (* -1 (/ x t)) (/ y t)) |
(+ (* -1 (/ x t)) (/ y t)) |
(+ (* -1 (/ x t)) (/ y t)) |
(* -1 x) |
(- y x) |
(- y x) |
(- y x) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(+ x (* -1 (/ (* x z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(+ x (+ (* -1 (/ (* x z) t)) (/ (* y z) t))) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ (* y z) t) |
(* y (+ (* -1 (/ (* x z) (* t y))) (/ z t))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (/ z t))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (/ z t))) |
(/ (* y z) t) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(/ (* y z) t) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(/ (* y z) t) |
(* y (+ (* -1 (/ (* x z) (* t y))) (/ z t))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (/ z t))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (/ z t))) |
(* y z) |
(* y (+ z (* -1 (/ (* x z) y)))) |
(* y (+ z (* -1 (/ (* x z) y)))) |
(* y (+ z (* -1 (/ (* x z) y)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* y z) t) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(/ y t) |
(* y (+ (* -1 (/ x (* t y))) (/ 1 t))) |
(* y (+ (* -1 (/ x (* t y))) (/ 1 t))) |
(* y (+ (* -1 (/ x (* t y))) (/ 1 t))) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(* y (+ 1 (* -1 (/ x y)))) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ (* y z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) |
(/ (* y z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(/ (* y z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(/ (* y z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ (* x z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* x z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* x z) y)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ (* y z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(/ y t) |
(* -1 (* y (- (/ x (* t y)) (/ 1 t)))) |
(* -1 (* y (- (/ x (* t y)) (/ 1 t)))) |
(* -1 (* y (- (/ x (* t y)) (/ 1 t)))) |
y |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(* -1 (* y (- (/ x y) 1))) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(/ (* y z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ t y) |
(/ (* y z) t) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(/ (* y z) t) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(* y z) |
(+ (* -1 (* x z)) (* y z)) |
(+ (* -1 (* x z)) (* y z)) |
(+ (* -1 (* x z)) (* y z)) |
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(/ y t) |
(+ (* -1 (/ x t)) (/ y t)) |
(+ (* -1 (/ x t)) (/ y t)) |
(+ (* -1 (/ x t)) (/ y t)) |
y |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(+ y (* -1 x)) |
(/ (* y z) t) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(* -1 (/ (* x z) t)) |
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) |
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) |
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) |
(* x (+ 1 (* -1 (/ z t)))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (* -1 (/ z t)))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (* -1 (/ z t)))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* -1 (/ (* x z) t)) |
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) |
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) |
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) |
(* -1 (* x z)) |
(* x (+ (* -1 z) (/ (* y z) x))) |
(* x (+ (* -1 z) (/ (* y z) x))) |
(* x (+ (* -1 z) (/ (* y z) x))) |
(* x (+ 1 (* -1 (/ z t)))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* -1 (/ x t)) |
(* x (- (/ y (* t x)) (/ 1 t))) |
(* x (- (/ y (* t x)) (/ 1 t))) |
(* x (- (/ y (* t x)) (/ 1 t))) |
(* -1 x) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (- (/ y x) 1)) |
(* x (+ 1 (* -1 (/ z t)))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(* -1 (/ (* x z) t)) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(* -1 (* x (- (/ z t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (/ z t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (/ z t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (/ (* x z) t)) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(* -1 (* x z)) |
(* -1 (* x (+ z (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ z (* -1 (/ (* y z) x))))) |
(* -1 (* x (+ z (* -1 (/ (* y z) x))))) |
(* -1 (* x (- (/ z t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (/ x t)) |
(* -1 (* x (+ (* -1 (/ y (* t x))) (/ 1 t)))) |
(* -1 (* x (+ (* -1 (/ y (* t x))) (/ 1 t)))) |
(* -1 (* x (+ (* -1 (/ y (* t x))) (/ 1 t)))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(* -1 (* x (- (/ z t) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
| Outputs |
|---|
(/ t z) |
(/.f64 t z) |
(/ t z) |
(/.f64 t z) |
(/ t z) |
(/.f64 t z) |
(/ t z) |
(/.f64 t z) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 (-.f64 y x) z (*.f64 x t)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 (-.f64 y x) z (*.f64 x t)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 (-.f64 y x) z (*.f64 x t)) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 (-.f64 y x) z (*.f64 x t)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 (-.f64 y x) z (*.f64 x t)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 (-.f64 y x) z (*.f64 x t)) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 (-.f64 y x) z (*.f64 x t)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 (-.f64 y x) z (*.f64 x t)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 (-.f64 y x) z (*.f64 x t)) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 (-.f64 y x) z (*.f64 x t)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 (-.f64 y x) z (*.f64 x t)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 (-.f64 y x) z (*.f64 x t)) t) |
(/ (- y x) t) |
(/.f64 (-.f64 y x) t) |
(/ (- y x) t) |
(/.f64 (-.f64 y x) t) |
(/ (- y x) t) |
(/.f64 (-.f64 y x) t) |
(/ (- y x) t) |
(/.f64 (-.f64 y x) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 (-.f64 y x) z (*.f64 x t)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 (-.f64 y x) z (*.f64 x t)) t) |
(/ (+ (* t x) (* z (- y x))) t) |
(/.f64 (fma.f64 (-.f64 y x) z (*.f64 x t)) t) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t z) |
(/.f64 t z) |
(/ t z) |
(/.f64 t z) |
(/ t z) |
(/.f64 t z) |
(/ t z) |
(/.f64 t z) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
x |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
x |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
x |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
x |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ (- y x) t) |
(/.f64 (-.f64 y x) t) |
(/ (- y x) t) |
(/.f64 (-.f64 y x) t) |
(/ (- y x) t) |
(/.f64 (-.f64 y x) t) |
(/ (- y x) t) |
(/.f64 (-.f64 y x) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
x |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t z) |
(/.f64 t z) |
(/ t z) |
(/.f64 t z) |
(/ t z) |
(/.f64 t z) |
(/ t z) |
(/.f64 t z) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
x |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
x |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
(/ z t) |
(/.f64 z t) |
x |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* z (- y x)) t) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
x |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ x (/ (* z (- y x)) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ (- y x) t) |
(/.f64 (-.f64 y x) t) |
(/ (- y x) t) |
(/.f64 (-.f64 y x) t) |
(/ (- y x) t) |
(/.f64 (-.f64 y x) t) |
(/ (- y x) t) |
(/.f64 (-.f64 y x) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
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(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ y t) |
(/.f64 y t) |
(* y (+ (* -1 (/ x (* t y))) (/ 1 t))) |
(/.f64 (-.f64 y x) t) |
(* y (+ (* -1 (/ x (* t y))) (/ 1 t))) |
(/.f64 (-.f64 y x) t) |
(* y (+ (* -1 (/ x (* t y))) (/ 1 t))) |
(/.f64 (-.f64 y x) t) |
y |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(* y (+ 1 (* -1 (/ x y)))) |
(-.f64 y x) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* y (+ (* -1 (/ (* x z) (* t y))) (+ (/ x y) (/ z t)))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (/ (* x z) (* t y))))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* y z) |
(*.f64 y z) |
(* -1 (* y (+ (* -1 z) (/ (* x z) y)))) |
(*.f64 (-.f64 y x) z) |
(* -1 (* y (+ (* -1 z) (/ (* x z) y)))) |
(*.f64 (-.f64 y x) z) |
(* -1 (* y (+ (* -1 z) (/ (* x z) y)))) |
(*.f64 (-.f64 y x) z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(* y z) |
(*.f64 y z) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ y t) |
(/.f64 y t) |
(* -1 (* y (- (/ x (* t y)) (/ 1 t)))) |
(/.f64 (-.f64 y x) t) |
(* -1 (* y (- (/ x (* t y)) (/ 1 t)))) |
(/.f64 (-.f64 y x) t) |
(* -1 (* y (- (/ x (* t y)) (/ 1 t)))) |
(/.f64 (-.f64 y x) t) |
y |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(* -1 (* y (- (/ x y) 1))) |
(-.f64 y x) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* y (+ (* -1 (/ z t)) (* -1 (/ (+ x (* -1 (/ (* x z) t))) y))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ t y) |
(/.f64 t y) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(+ (* -1 (/ (* x z) t)) (/ (* y z) t)) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* y z) |
(*.f64 y z) |
(+ (* -1 (* x z)) (* y z)) |
(*.f64 (-.f64 y x) z) |
(+ (* -1 (* x z)) (* y z)) |
(*.f64 (-.f64 y x) z) |
(+ (* -1 (* x z)) (* y z)) |
(*.f64 (-.f64 y x) z) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/ y t) |
(/.f64 y t) |
(+ (* -1 (/ x t)) (/ y t)) |
(/.f64 (-.f64 y x) t) |
(+ (* -1 (/ x t)) (/ y t)) |
(/.f64 (-.f64 y x) t) |
(+ (* -1 (/ x t)) (/ y t)) |
(/.f64 (-.f64 y x) t) |
y |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(+ y (* -1 x)) |
(-.f64 y x) |
(/ (* y z) t) |
(/.f64 (*.f64 y z) t) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(+ (* x (+ 1 (* -1 (/ z t)))) (/ (* y z) t)) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (/ (* x z) t)) |
(*.f64 (/.f64 (neg.f64 x) t) z) |
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* x (+ 1 (* -1 (/ z t)))) |
(-.f64 x (*.f64 (/.f64 x t) z)) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* x (+ 1 (* -1 (/ z t)))) |
(-.f64 x (*.f64 (/.f64 x t) z)) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* x (+ 1 (* -1 (/ z t)))) |
(-.f64 x (*.f64 (/.f64 x t) z)) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (/ (* x z) t)) |
(*.f64 (/.f64 (neg.f64 x) t) z) |
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* x (+ (* -1 (/ z t)) (/ (* y z) (* t x)))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* x (+ (* -1 z) (/ (* y z) x))) |
(*.f64 (-.f64 y x) z) |
(* x (+ (* -1 z) (/ (* y z) x))) |
(*.f64 (-.f64 y x) z) |
(* x (+ (* -1 z) (/ (* y z) x))) |
(*.f64 (-.f64 y x) z) |
(* x (+ 1 (* -1 (/ z t)))) |
(-.f64 x (*.f64 (/.f64 x t) z)) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* x (- (/ y (* t x)) (/ 1 t))) |
(/.f64 (-.f64 y x) t) |
(* x (- (/ y (* t x)) (/ 1 t))) |
(/.f64 (-.f64 y x) t) |
(* x (- (/ y (* t x)) (/ 1 t))) |
(/.f64 (-.f64 y x) t) |
(* -1 x) |
(neg.f64 x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* x (- (/ y x) 1)) |
(-.f64 y x) |
(* x (+ 1 (* -1 (/ z t)))) |
(-.f64 x (*.f64 (/.f64 x t) z)) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* x (+ 1 (+ (* -1 (/ z t)) (/ (* y z) (* t x))))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (/ (* x z) t)) |
(*.f64 (/.f64 (neg.f64 x) t) z) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* x (- (/ z t) 1))) |
(-.f64 x (*.f64 (/.f64 x t) z)) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* x (- (/ z t) 1))) |
(-.f64 x (*.f64 (/.f64 x t) z)) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* x (- (/ z t) 1))) |
(-.f64 x (*.f64 (/.f64 x t) z)) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (/ (* x z) t)) |
(*.f64 (/.f64 (neg.f64 x) t) z) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* x (+ (* -1 (/ (* y z) (* t x))) (/ z t)))) |
(/.f64 (*.f64 (-.f64 y x) z) t) |
(* -1 (* x z)) |
(*.f64 (neg.f64 z) x) |
(* -1 (* x (+ z (* -1 (/ (* y z) x))))) |
(*.f64 (-.f64 y x) z) |
(* -1 (* x (+ z (* -1 (/ (* y z) x))))) |
(*.f64 (-.f64 y x) z) |
(* -1 (* x (+ z (* -1 (/ (* y z) x))))) |
(*.f64 (-.f64 y x) z) |
(* -1 (* x (- (/ z t) 1))) |
(-.f64 x (*.f64 (/.f64 x t) z)) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (/ x t)) |
(/.f64 (neg.f64 x) t) |
(* -1 (* x (+ (* -1 (/ y (* t x))) (/ 1 t)))) |
(/.f64 (-.f64 y x) t) |
(* -1 (* x (+ (* -1 (/ y (* t x))) (/ 1 t)))) |
(/.f64 (-.f64 y x) t) |
(* -1 (* x (+ (* -1 (/ y (* t x))) (/ 1 t)))) |
(/.f64 (-.f64 y x) t) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (+ 1 (* -1 (/ y x))))) |
(-.f64 y x) |
(* -1 (* x (- (/ z t) 1))) |
(-.f64 x (*.f64 (/.f64 x t) z)) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(* -1 (* x (- (+ (* -1 (/ (* y z) (* t x))) (/ z t)) 1))) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
| 5 644× | lower-/.f32 |
| 5 630× | lower-/.f64 |
| 5 586× | lower-fma.f32 |
| 5 584× | lower-fma.f64 |
| 4 678× | lower-*.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 132 |
| 0 | 46 | 135 |
| 1 | 192 | 116 |
| 2 | 1524 | 116 |
| 0 | 8487 | 116 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))) |
(/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64)))) |
(*.f64 t #s(literal -1 binary64)) |
(+.f64 x (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))))) |
#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) |
(*.f64 (/.f64 z t) y) |
(/.f64 z t) |
(+.f64 x (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t)) |
(/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t) |
#s(approx (* (- y x) z) (*.f64 y z)) |
(*.f64 y z) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
(/.f64 (-.f64 y x) t) |
(-.f64 y x) |
(/.f64 z (/.f64 t y)) |
#s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) |
(/.f64 t y) |
| Outputs |
|---|
(*.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) #s(literal -1 binary64)) t) |
(*.f64 (/.f64 t #s(literal 1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (*.f64 #s(literal 1 binary64) t) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 t #s(literal 1 binary64))) |
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(*.f64 (/.f64 z t) y) |
(*.f64 y (/.f64 z t)) |
(*.f64 z (/.f64 y t)) |
(*.f64 #s(literal -1 binary64) (/.f64 y (*.f64 (pow.f64 z #s(literal -1 binary64)) (neg.f64 t)))) |
(*.f64 #s(literal -1 binary64) (/.f64 y (/.f64 (neg.f64 t) z))) |
(pow.f64 (/.f64 (/.f64 t z) y) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (/.f64 t y) z) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 t y) z) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (/.f64 y (/.f64 (neg.f64 t) z))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (/.f64 y (neg.f64 t))) (neg.f64 (/.f64 #s(literal -1 binary64) z))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) y)) (/.f64 (neg.f64 t) z)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) y)) (*.f64 #s(literal 1 binary64) t)) |
(/.f64 (neg.f64 (*.f64 y #s(literal 1 binary64))) (/.f64 (neg.f64 t) z)) |
(/.f64 (neg.f64 (*.f64 y (neg.f64 z))) (*.f64 #s(literal 1 binary64) t)) |
(/.f64 (neg.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z))) (*.f64 #s(literal 1 binary64) t)) |
(/.f64 (neg.f64 (neg.f64 (*.f64 y z))) (*.f64 #s(literal 1 binary64) t)) |
(/.f64 (neg.f64 (*.f64 z #s(literal 1 binary64))) (/.f64 (neg.f64 t) y)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 z))) (/.f64 (neg.f64 t) y)) |
(/.f64 (/.f64 y (/.f64 (neg.f64 t) z)) #s(literal -1 binary64)) |
(/.f64 (/.f64 y (neg.f64 t)) (/.f64 #s(literal -1 binary64) z)) |
(/.f64 (*.f64 #s(literal 1 binary64) y) (/.f64 t z)) |
(/.f64 (*.f64 (neg.f64 z) y) (neg.f64 t)) |
(/.f64 (*.f64 y #s(literal 1 binary64)) (/.f64 t z)) |
(/.f64 (*.f64 y (neg.f64 z)) (neg.f64 t)) |
(/.f64 (*.f64 z #s(literal 1 binary64)) (/.f64 t y)) |
(/.f64 (neg.f64 (/.f64 z t)) (neg.f64 (pow.f64 y #s(literal -1 binary64)))) |
(/.f64 (/.f64 y (/.f64 #s(literal -1 binary64) z)) (neg.f64 t)) |
(/.f64 (neg.f64 (neg.f64 z)) (/.f64 t y)) |
(/.f64 (neg.f64 (*.f64 y z)) (neg.f64 t)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (/.f64 (neg.f64 t) z))) |
(/.f64 (neg.f64 y) (/.f64 (neg.f64 t) z)) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (/.f64 t y) z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t z) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (/.f64 t y) z) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 t y) z)) |
(/.f64 (neg.f64 z) (/.f64 (neg.f64 t) y)) |
(/.f64 (*.f64 y z) t) |
(/.f64 (/.f64 z t) (pow.f64 y #s(literal -1 binary64))) |
(/.f64 y (/.f64 t z)) |
(/.f64 z (/.f64 t y)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 t z) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (/.f64 t y) z) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 t y) z))) |
(neg.f64 (/.f64 (neg.f64 z) (/.f64 t y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 t) y)) (/.f64 (neg.f64 z) (/.f64 t y))) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 (neg.f64 t) z)) (/.f64 y (/.f64 (neg.f64 t) z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (/.f64 t y) z)) #s(literal -1 binary64))) |
#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 y t) z)) |
(*.f64 (/.f64 t #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 t) #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) (pow.f64 (pow.f64 t #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) t) |
(*.f64 #s(literal 1 binary64) (/.f64 t y)) |
(*.f64 (neg.f64 t) (pow.f64 (neg.f64 y) #s(literal -1 binary64))) |
(*.f64 t (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (/.f64 (/.f64 y t) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 y t) #s(literal -1 binary64)) |
(pow.f64 (/.f64 t y) #s(literal 1 binary64)) |
(/.f64 (neg.f64 (*.f64 t #s(literal 1 binary64))) (neg.f64 y)) |
(/.f64 (*.f64 t #s(literal 1 binary64)) y) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) t)) (neg.f64 (neg.f64 (neg.f64 y)))) |
(/.f64 (*.f64 #s(literal 1 binary64) t) (neg.f64 (neg.f64 y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 y t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 y t) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 y t)) |
(/.f64 (neg.f64 t) (neg.f64 y)) |
(/.f64 t y) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 y t) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 y t))) |
(neg.f64 (/.f64 (neg.f64 t) y)) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 y)) (/.f64 (neg.f64 t) y)) |
(exp.f64 (*.f64 (log.f64 (/.f64 y t)) #s(literal -1 binary64))) |
Compiled 25 198 to 2 956 computations (88.3% saved)
15 alts after pruning (8 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 756 | 6 | 1 762 |
| Fresh | 4 | 2 | 6 |
| Picked | 2 | 3 | 5 |
| Done | 1 | 4 | 5 |
| Total | 1 763 | 15 | 1 778 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 91.2% | (fma.f64 (/.f64 (-.f64 y x) t) z x) |
| 58.0% | (fma.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) t) z x) | |
| ✓ | 61.9% | (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) |
| ✓ | 91.1% | (fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) |
| 74.7% | (fma.f64 #s(approx (/ (- y x) t) (/.f64 y t)) z x) | |
| 59.9% | (fma.f64 #s(approx (+ (* (neg x) x) (* y y)) (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) | |
| 55.0% | (+.f64 x (/.f64 (-.f64 (*.f64 (*.f64 z y) (/.f64 (/.f64 t z) x)) (*.f64 t #s(literal 1 binary64))) (*.f64 t (/.f64 (/.f64 t z) x)))) | |
| 98.0% | (+.f64 x (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 t)))) | |
| 91.2% | (+.f64 x (/.f64 z (/.f64 t (-.f64 y x)))) | |
| 60.7% | #s(approx (+ (* (/ (- y x) t) z) x) (/.f64 (*.f64 (-.f64 y x) z) t)) | |
| 45.1% | #s(approx (+ (* (/ z t) (- y x)) x) (/.f64 y (/.f64 t z))) | |
| ✓ | 45.1% | #s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) |
| ✓ | 43.2% | #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) |
| ✓ | 40.3% | #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) |
| ✓ | 40.1% | #s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) |
Compiled 471 to 238 computations (49.5% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) |
#s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) |
#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) |
(fma.f64 #s(approx (/ (- y x) t) (/.f64 y t)) z x) |
#s(approx (+ x (/ (* (- y x) z) t)) (-.f64 x (*.f64 (/.f64 x t) z))) |
#s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 (-.f64 y x) z) t)) |
#s(approx (+ (* (/ z t) (- y x)) x) (/.f64 (*.f64 (-.f64 y x) z) t)) |
#s(approx (+ (* (/ (- y x) t) z) x) (/.f64 (*.f64 (-.f64 y x) z) t)) |
(+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) |
(+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) |
(+.f64 x (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t)) |
(fma.f64 (neg.f64 z) #s(approx (* (- y x) (/ -1 t)) (/.f64 x t)) x) |
(fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) |
(fma.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) t) z x) |
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(fma.f64 (/.f64 (-.f64 y x) t) z x) |
#s(approx (+ x (/ (* (- y x) z) t)) (/.f64 y (/.f64 t z))) |
#s(approx (+ x (/ (* (- y x) z) t)) (/.f64 z (/.f64 t y))) |
#s(approx (+ (* (/ z t) (- y x)) x) (/.f64 y (/.f64 t z))) |
(+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) |
(fma.f64 (neg.f64 z) (*.f64 (-.f64 y x) (/.f64 #s(literal -1 binary64) t)) x) |
(fma.f64 (/.f64 #s(literal -1 binary64) t) (*.f64 (neg.f64 z) (-.f64 y x)) x) |
(+.f64 x (/.f64 z (/.f64 t (-.f64 y x)))) |
(+.f64 x (/.f64 (-.f64 y x) (/.f64 t z))) |
(fma.f64 #s(approx (+ (* (neg x) x) (* y y)) (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) |
(+.f64 x (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 t)))) |
(+.f64 x (/.f64 (-.f64 y x) (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 t #s(literal -1 binary64))))) |
(fma.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) (/.f64 z (*.f64 (+.f64 y x) t)) x) |
(+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (neg.f64 y) (*.f64 (/.f64 z t) (-.f64 (/.f64 x y) #s(literal 1 binary64)))))) |
(+.f64 x (/.f64 #s(literal -1 binary64) (/.f64 (/.f64 t (-.f64 y x)) (neg.f64 z)))) |
(+.f64 x (/.f64 (/.f64 (*.f64 (fma.f64 (neg.f64 x) x (*.f64 y y)) z) (+.f64 y x)) t)) |
(+.f64 x (/.f64 (-.f64 (*.f64 (*.f64 z y) (/.f64 (/.f64 t z) x)) (*.f64 t #s(literal 1 binary64))) (*.f64 t (/.f64 (/.f64 t z) x)))) |
(fma.f64 (/.f64 (-.f64 y x) t) (/.f64 #s(literal 1 binary64) (pow.f64 z #s(literal -1 binary64))) x) |
(+.f64 x (pow.f64 (pow.f64 (/.f64 t (*.f64 z (-.f64 y x))) #s(literal -1/2 binary64)) #s(literal 2 binary64))) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
5 calls:
| 81.0ms | z |
| 10.0ms | x |
| 10.0ms | y |
| 10.0ms | t |
| 9.0ms | (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | x |
| 98.0% | 1 | y |
| 98.0% | 1 | z |
| 98.0% | 1 | t |
| 98.0% | 1 | (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) |
Compiled 13 to 24 computations (-84.6% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) |
#s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) |
#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) |
(fma.f64 #s(approx (/ (- y x) t) (/.f64 y t)) z x) |
#s(approx (+ x (/ (* (- y x) z) t)) (-.f64 x (*.f64 (/.f64 x t) z))) |
#s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 (-.f64 y x) z) t)) |
#s(approx (+ (* (/ z t) (- y x)) x) (/.f64 (*.f64 (-.f64 y x) z) t)) |
#s(approx (+ (* (/ (- y x) t) z) x) (/.f64 (*.f64 (-.f64 y x) z) t)) |
(+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) |
(+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) |
(+.f64 x (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t)) |
(fma.f64 (neg.f64 z) #s(approx (* (- y x) (/ -1 t)) (/.f64 x t)) x) |
(fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) |
(fma.f64 (/.f64 #s(approx (- y x) (neg.f64 x)) t) z x) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) |
(+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) |
(fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) |
5 calls:
| 29.0ms | x |
| 20.0ms | (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) |
| 5.0ms | y |
| 5.0ms | z |
| 5.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.5% | 3 | x |
| 88.9% | 3 | y |
| 85.5% | 3 | z |
| 88.8% | 3 | t |
| 86.3% | 3 | (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) |
Compiled 13 to 24 computations (-84.6% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) |
#s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) |
#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) |
(fma.f64 #s(approx (/ (- y x) t) (/.f64 y t)) z x) |
#s(approx (+ x (/ (* (- y x) z) t)) (-.f64 x (*.f64 (/.f64 x t) z))) |
#s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 (-.f64 y x) z) t)) |
#s(approx (+ (* (/ z t) (- y x)) x) (/.f64 (*.f64 (-.f64 y x) z) t)) |
#s(approx (+ (* (/ (- y x) t) z) x) (/.f64 (*.f64 (-.f64 y x) z) t)) |
(+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 y t) z))) |
(+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) |
(+.f64 x (/.f64 #s(approx (* (- y x) z) (*.f64 y z)) t)) |
(fma.f64 (neg.f64 z) #s(approx (* (- y x) (/ -1 t)) (/.f64 x t)) x) |
| Outputs |
|---|
(fma.f64 #s(approx (/ (- y x) t) (/.f64 y t)) z x) |
#s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 (-.f64 y x) z) t)) |
(fma.f64 #s(approx (/ (- y x) t) (/.f64 y t)) z x) |
3 calls:
| 7.0ms | t |
| 4.0ms | x |
| 4.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 3 | t |
| 87.8% | 3 | y |
| 88.5% | 3 | x |
Compiled 3 to 12 computations (-300% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) |
#s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) |
#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) |
(fma.f64 #s(approx (/ (- y x) t) (/.f64 y t)) z x) |
#s(approx (+ x (/ (* (- y x) z) t)) (-.f64 x (*.f64 (/.f64 x t) z))) |
| Outputs |
|---|
#s(approx (+ x (/ (* (- y x) z) t)) (-.f64 x (*.f64 (/.f64 x t) z))) |
(fma.f64 #s(approx (/ (- y x) t) (/.f64 y t)) z x) |
#s(approx (+ x (/ (* (- y x) z) t)) (-.f64 x (*.f64 (/.f64 x t) z))) |
5 calls:
| 3.0ms | y |
| 3.0ms | x |
| 2.0ms | t |
| 2.0ms | z |
| 2.0ms | (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 74.7% | 1 | z |
| 74.7% | 1 | (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) |
| 82.6% | 3 | y |
| 85.3% | 3 | x |
| 80.6% | 4 | t |
Compiled 13 to 24 computations (-84.6% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) |
#s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) |
#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) |
(fma.f64 #s(approx (/ (- y x) t) (/.f64 y t)) z x) |
| Outputs |
|---|
(fma.f64 #s(approx (/ (- y x) t) (/.f64 y t)) z x) |
#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) |
(fma.f64 #s(approx (/ (- y x) t) (/.f64 y t)) z x) |
3 calls:
| 4.0ms | y |
| 2.0ms | x |
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.0% | 3 | t |
| 74.7% | 1 | y |
| 74.7% | 1 | x |
Compiled 3 to 12 computations (-300% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) |
#s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) |
#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) |
| Outputs |
|---|
#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) |
5 calls:
| 2.0ms | z |
| 2.0ms | t |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 45.1% | 1 | z |
| 45.1% | 1 | x |
| 45.1% | 1 | y |
| 45.1% | 1 | (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) |
| 45.1% | 1 | t |
Compiled 13 to 24 computations (-84.6% saved)
| Inputs |
|---|
#s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) |
#s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) |
| Outputs |
|---|
#s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) |
5 calls:
| 3.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | t |
| 2.0ms | (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 43.2% | 1 | z |
| 43.2% | 1 | (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) |
| 43.2% | 1 | y |
| 43.2% | 1 | x |
| 43.2% | 1 | t |
Compiled 13 to 24 computations (-84.6% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) |
| Outputs |
|---|
#s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) |
5 calls:
| 1.0ms | t |
| 1.0ms | x |
| 1.0ms | y |
| 1.0ms | z |
| 1.0ms | (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 40.1% | 1 | y |
| 40.1% | 1 | z |
| 40.1% | 1 | t |
| 40.1% | 1 | x |
| 40.1% | 1 | (+.f64 x (/.f64 (*.f64 (-.f64 y x) z) t)) |
Compiled 13 to 24 computations (-84.6% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 13.0ms | 7.435929207898415e+27 | 4.192845945028609e+37 |
| 12.0ms | -2.746365353134445e+26 | -4.32057767740771e+23 |
| 15.0ms | 288× | 0 | valid |
Compiled 300 to 339 computations (-13% saved)
ival-sub: 2.0ms (28.4% of total)ival-div: 2.0ms (28.4% of total)ival-mult: 2.0ms (28.4% of total)ival-add: 1.0ms (14.2% 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 |
|---|---|---|
| 12.0ms | 6.758584415260574e-69 | 1.6141953722722385e-62 |
| 3.0ms | -9.135869418060433e-173 | -8.229535046440476e-173 |
| 8.0ms | 176× | 0 | valid |
Compiled 177 to 202 computations (-14.1% saved)
ival-sub: 1.0ms (23.4% of total)ival-div: 1.0ms (23.4% of total)ival-add: 1.0ms (23.4% of total)ival-mult: 1.0ms (23.4% 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 |
|---|---|---|
| 21.0ms | 2.9216073852905626e+79 | 3.1349236894700756e+93 |
| 6.0ms | -2.746365353134445e+26 | -4.32057767740771e+23 |
| 11.0ms | 224× | 0 | valid |
Compiled 282 to 321 computations (-13.8% saved)
ival-div: 2.0ms (36.9% of total)ival-sub: 1.0ms (18.4% of total)ival-add: 1.0ms (18.4% of total)ival-mult: 1.0ms (18.4% 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 |
|---|---|---|
| 11.0ms | 1.7624170553969175e-199 | 5.087733053507614e-195 |
| 2.0ms | -9.135869418060433e-173 | -8.229535046440476e-173 |
| 7.0ms | 144× | 0 | valid |
Compiled 142 to 175 computations (-23.2% saved)
ival-sub: 1.0ms (28.7% of total)ival-div: 1.0ms (28.7% of total)ival-add: 1.0ms (28.7% of total)ival-mult: 1.0ms (28.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 20× | *-commutative-binary64-*.f64 |
| 16× | +-commutative-binary64-+.f64 |
| 14× | sub-neg-binary64-neg.f64-+.f64--.f64 |
| 10× | neg-sub0-binary64--.f64-neg.f64 |
| 10× | neg-mul-1-binary64-*.f64-neg.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 61 | 248 |
| 1 | 77 | 248 |
| 2 | 93 | 248 |
| 3 | 102 | 248 |
| 4 | 108 | 248 |
| 5 | 110 | 248 |
| 1× | saturated |
| Inputs |
|---|
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(if (<=.f64 x #s(literal -66000000000000002113929216 binary64)) (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) (if (<=.f64 x #s(literal 32999999999999998780443374875836416 binary64)) (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x))) |
(if (<=.f64 t #s(literal -6265558709503137/69617318994479297159441705409245167921344429126717528237597542082203295398081625160307507496908132931192662194421301381083506846944815643283884602656894137393981852330936660004926669193216 binary64)) (fma.f64 #s(approx (/ (- y x) t) (/.f64 y t)) z x) (if (<=.f64 t #s(literal 60790846849591/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 (-.f64 y x) z) t)) (fma.f64 #s(approx (/ (- y x) t) (/.f64 y t)) z x))) |
(if (<=.f64 x #s(literal -98000000000000001577058304 binary64)) #s(approx (+ x (/ (* (- y x) z) t)) (-.f64 x (*.f64 (/.f64 x t) z))) (if (<=.f64 x #s(literal 225000000000000003350881310236238456519093767772402830436268680537511684258922496 binary64)) (fma.f64 #s(approx (/ (- y x) t) (/.f64 y t)) z x) #s(approx (+ x (/ (* (- y x) z) t)) (-.f64 x (*.f64 (/.f64 x t) z))))) |
(if (<=.f64 t #s(literal -5847854795536261/69617318994479297159441705409245167921344429126717528237597542082203295398081625160307507496908132931192662194421301381083506846944815643283884602656894137393981852330936660004926669193216 binary64)) (fma.f64 #s(approx (/ (- y x) t) (/.f64 y t)) z x) (if (<=.f64 t #s(literal 2221881404814033/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064 binary64)) #s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) (fma.f64 #s(approx (/ (- y x) t) (/.f64 y t)) z x))) |
#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) |
#s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) |
#s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) |
| Outputs |
|---|
(fma.f64 (/.f64 z t) (-.f64 y x) x) |
(if (<=.f64 x #s(literal -66000000000000002113929216 binary64)) (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) (if (<=.f64 x #s(literal 32999999999999998780443374875836416 binary64)) (+.f64 x #s(approx (/ (* (- y x) z) t) (*.f64 (/.f64 z t) y))) (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x))) |
(if (<=.f64 x #s(literal -66000000000000002113929216 binary64)) (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x) (if (<=.f64 x #s(literal 32999999999999998780443374875836416 binary64)) (+.f64 #s(approx (/ (* (- y x) z) t) (*.f64 y (/.f64 z t))) x) (fma.f64 (/.f64 z t) #s(approx (- y x) (neg.f64 x)) x))) |
(if (<=.f64 t #s(literal -6265558709503137/69617318994479297159441705409245167921344429126717528237597542082203295398081625160307507496908132931192662194421301381083506846944815643283884602656894137393981852330936660004926669193216 binary64)) (fma.f64 #s(approx (/ (- y x) t) (/.f64 y t)) z x) (if (<=.f64 t #s(literal 60790846849591/14474011154664524427946373126085988481658748083205070504932198000989141204992 binary64)) #s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 (-.f64 y x) z) t)) (fma.f64 #s(approx (/ (- y x) t) (/.f64 y t)) z x))) |
(if (<=.f64 x #s(literal -98000000000000001577058304 binary64)) #s(approx (+ x (/ (* (- y x) z) t)) (-.f64 x (*.f64 (/.f64 x t) z))) (if (<=.f64 x #s(literal 225000000000000003350881310236238456519093767772402830436268680537511684258922496 binary64)) (fma.f64 #s(approx (/ (- y x) t) (/.f64 y t)) z x) #s(approx (+ x (/ (* (- y x) z) t)) (-.f64 x (*.f64 (/.f64 x t) z))))) |
(if (<=.f64 t #s(literal -5847854795536261/69617318994479297159441705409245167921344429126717528237597542082203295398081625160307507496908132931192662194421301381083506846944815643283884602656894137393981852330936660004926669193216 binary64)) (fma.f64 #s(approx (/ (- y x) t) (/.f64 y t)) z x) (if (<=.f64 t #s(literal 2221881404814033/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064 binary64)) #s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) (fma.f64 #s(approx (/ (- y x) t) (/.f64 y t)) z x))) |
(if (<=.f64 t #s(literal -5847854795536261/69617318994479297159441705409245167921344429126717528237597542082203295398081625160307507496908132931192662194421301381083506846944815643283884602656894137393981852330936660004926669193216 binary64)) (fma.f64 #s(approx (/ (- y x) t) (/.f64 y t)) z x) (if (<=.f64 t #s(literal 2221881404814033/336648697699095904463423352504328234595221747380683127007889977796398857875013172615274658321765660878526910006795405933633243664011763447240180145321720374397134314952220454284266480504596653905362768111090008064 binary64)) #s(approx (+ (* (/ z t) (- y x)) x) (*.f64 y (/.f64 z t))) (fma.f64 #s(approx (/ (- y x) t) (/.f64 y t)) z x))) |
#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 (/.f64 z t) y)) |
#s(approx (+ (* (/ z t) (- y x)) x) (*.f64 y (/.f64 z t))) |
#s(approx (+ x (/ (* (- y x) z) t)) (/.f64 (*.f64 y z) t)) |
#s(approx (+ x (/ (* (- y x) z) t)) (*.f64 (/.f64 y t) z)) |
| 10 606× | lower-fma.f64 |
| 10 606× | lower-fma.f32 |
| 10 336× | lower-fma.f64 |
| 10 336× | lower-fma.f32 |
| 9 818× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 284 | 4973 |
| 1 | 935 | 4832 |
| 2 | 3018 | 4648 |
| 0 | 8222 | 4468 |
| 0 | 28 | 125 |
| 0 | 49 | 113 |
| 1 | 197 | 112 |
| 2 | 1667 | 112 |
| 0 | 8280 | 112 |
| 0 | 105 | 954 |
| 1 | 344 | 951 |
| 2 | 1090 | 951 |
| 3 | 3408 | 951 |
| 4 | 6453 | 951 |
| 0 | 8230 | 915 |
| 0 | 125 | 3696 |
| 1 | 404 | 3681 |
| 2 | 1286 | 3681 |
| 3 | 3980 | 3681 |
| 4 | 6897 | 3681 |
| 0 | 8188 | 3501 |
| 0 | 8 | 24 |
| 0 | 12 | 24 |
| 1 | 49 | 24 |
| 2 | 408 | 24 |
| 3 | 5345 | 24 |
| 0 | 8477 | 23 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 345 to 207 computations (40% saved)
Compiled 382 to 164 computations (57.1% saved)
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