
Time bar (total: 8.0s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 3 |
| 0% | 0% | 99.8% | 0.2% | 0% | 0% | 0% | 4 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 5 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 6 |
| 43.8% | 43.7% | 56.1% | 0.2% | 0% | 0% | 0% | 7 |
| 43.8% | 43.7% | 56.1% | 0.2% | 0% | 0% | 0% | 8 |
| 51.6% | 51.5% | 48.3% | 0.2% | 0% | 0% | 0% | 9 |
| 51.6% | 51.5% | 48.3% | 0.2% | 0% | 0% | 0% | 10 |
| 57% | 56.9% | 42.9% | 0.2% | 0% | 0% | 0% | 11 |
| 62.1% | 62% | 37.8% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 9 to 9 computations (0% saved)
| 714.0ms | 8 256× | 0 | valid |
ival-sub: 132.0ms (44.2% of total)ival-mult: 104.0ms (34.9% of total)ival-div: 55.0ms (18.4% of total)ival-true: 5.0ms (1.7% of total)ival-assert: 2.0ms (0.7% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 13 | 0 | - | 2 | (1.0973293872177862e+37 5.878068042461935e-69 -1.0551624347825038e+215 4.523861533960399e+138) | (/.f64 x (-.f64 y (*.f64 z t))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | (*.f64 z t) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (-.f64 y (*.f64 z t)) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 x (-.f64 y (*.f64 z t))) | n/o | 11 | 0 |
| ↳ | (-.f64 y (*.f64 z t)) | overflow | 32 | |
| ↳ | (*.f64 z t) | overflow | 32 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 11 | 2 |
| - | 0 | 243 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 11 | 0 | 2 |
| - | 0 | 0 | 243 |
| number | freq |
|---|---|
| 0 | 245 |
| 1 | 11 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 25.0ms | 512× | 0 | valid |
Compiled 68 to 32 computations (52.9% saved)
ival-mult: 4.0ms (40.1% of total)ival-div: 3.0ms (30.1% of total)ival-sub: 2.0ms (20.1% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
| 440× | times-frac |
| 218× | sub-neg |
| 214× | associate-*l* |
| 208× | lower-fma.f64 |
| 208× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 40 | 106 |
| 1 | 115 | 102 |
| 2 | 207 | 101 |
| 3 | 490 | 101 |
| 4 | 1065 | 101 |
| 5 | 1741 | 101 |
| 6 | 2089 | 101 |
| 7 | 2143 | 101 |
| 8 | 2161 | 101 |
| 9 | 2181 | 101 |
| 10 | 2181 | 101 |
| 0 | 7 | 7 |
| 0 | 10 | 7 |
| 1 | 16 | 7 |
| 2 | 28 | 7 |
| 3 | 40 | 7 |
| 4 | 56 | 7 |
| 5 | 82 | 7 |
| 6 | 128 | 7 |
| 7 | 167 | 7 |
| 8 | 219 | 7 |
| 9 | 301 | 7 |
| 10 | 446 | 7 |
| 11 | 513 | 7 |
| 12 | 521 | 7 |
| 13 | 535 | 7 |
| 14 | 547 | 7 |
| 0 | 547 | 7 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(/.f64 x (-.f64 y (*.f64 z t))) |
| Outputs |
|---|
(/.f64 x (-.f64 y (*.f64 z t))) |
(/.f64 x (-.f64 y (*.f64 t z))) |
(negabs x)
(sort z t)
Compiled 7 to 7 computations (0% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 95.6% | (/.f64 x (-.f64 y (*.f64 z t))) |
Compiled 7 to 7 computations (0% saved)
| 1× | egg-herbie |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 z t) | |
| cost-diff | 0 | (-.f64 y (*.f64 z t)) | |
| cost-diff | 0 | (/.f64 x (-.f64 y (*.f64 z t))) |
| 208× | lower-fma.f64 |
| 208× | lower-fma.f32 |
| 160× | lower-*.f32 |
| 158× | lower-*.f64 |
| 72× | lower-+.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 19 |
| 0 | 10 | 19 |
| 1 | 16 | 19 |
| 2 | 28 | 19 |
| 3 | 40 | 19 |
| 4 | 56 | 19 |
| 5 | 82 | 19 |
| 6 | 128 | 19 |
| 7 | 167 | 19 |
| 8 | 219 | 19 |
| 9 | 301 | 19 |
| 10 | 446 | 19 |
| 11 | 513 | 19 |
| 12 | 521 | 19 |
| 13 | 535 | 19 |
| 14 | 547 | 19 |
| 0 | 547 | 19 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (-.f64 y (*.f64 z t))) |
x |
(-.f64 y (*.f64 z t)) |
y |
(*.f64 z t) |
z |
t |
| Outputs |
|---|
(/.f64 x (-.f64 y (*.f64 z t))) |
(/.f64 x (-.f64 y (*.f64 t z))) |
x |
(-.f64 y (*.f64 z t)) |
(-.f64 y (*.f64 t z)) |
y |
(*.f64 z t) |
(*.f64 t z) |
z |
t |
Found 3 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 z t) | |
| accuracy | 0.00390625 | (-.f64 y (*.f64 z t)) | |
| accuracy | 2.827987455169374 | (/.f64 x (-.f64 y (*.f64 z t))) |
| 15.0ms | 256× | 0 | valid |
Compiled 21 to 9 computations (57.1% saved)
ival-div: 2.0ms (42% of total)ival-mult: 2.0ms (42% of total)ival-sub: 1.0ms (21% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ()) |
#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ()) |
#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x y) (taylor 0 t) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x y) (/ (* t (* x z)) (pow y 2))) (taylor 0 t) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) (taylor 0 t) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) (taylor 0 t) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 t) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 t) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 t) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 t) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* t z))) (taylor inf t) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) (taylor inf t) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) (/ (* x y) (* t (pow z 2)))) t) (taylor inf t) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 3)) (* (pow t 3) (pow z 4))))) (+ (/ (* x y) (* t (pow z 2))) (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) t) (taylor inf t) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor inf t) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ y t) z)) (taylor inf t) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ y t) z)) (taylor inf t) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ y t) z)) (taylor inf t) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* t z))) (taylor -inf t) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (/ x z) (/ (* x y) (* t (pow z 2)))) t)) (taylor -inf t) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow y 2)) (* t (pow z 3)))) (/ (* x y) (pow z 2))) t)) (/ x z)) t)) (taylor -inf t) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) (* t (pow z 4))) (* -1 (/ (* x (pow y 2)) (pow z 3)))) t)) (/ (* x y) (pow z 2))) t)) (/ x z)) t)) (taylor -inf t) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor -inf t) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ y t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ y t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ y t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 z) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x y) (/ (* t (* x z)) (pow y 2))) (taylor 0 z) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (/ (* (pow t 2) (* x z)) (pow y 3)) (* -1 (/ (* t x) (pow y 2))))) (/ x y)) (taylor 0 z) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (- (/ (* (pow t 3) (* x z)) (pow y 4)) (* -1 (/ (* (pow t 2) x) (pow y 3))))) (* -1 (/ (* t x) (pow y 2))))) (/ x y)) (taylor 0 z) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 z) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 z) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 z) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 z) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* t z))) (taylor inf z) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -1 (/ x t)) (* -1 (/ (* x y) (* (pow t 2) z)))) z) (taylor inf z) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (/ x t)) (* -1 (/ (* x (pow y 2)) (* (pow t 3) (pow z 2))))) (/ (* x y) (* (pow t 2) z))) z) (taylor inf z) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ (* -1 (/ x t)) (* -1 (/ (* x (pow y 3)) (* (pow t 4) (pow z 3))))) (+ (/ (* x y) (* (pow t 2) z)) (/ (* x (pow y 2)) (* (pow t 3) (pow z 2))))) z) (taylor inf z) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor inf z) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ y z) t)) (taylor inf z) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ y z) t)) (taylor inf z) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- (/ y z) t)) (taylor inf z) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* t z))) (taylor -inf z) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (/ x t) (/ (* x y) (* (pow t 2) z))) z)) (taylor -inf z) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow y 2)) (* (pow t 3) z))) (/ (* x y) (pow t 2))) z)) (/ x t)) z)) (taylor -inf z) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) (* (pow t 4) z)) (* -1 (/ (* x (pow y 2)) (pow t 3)))) z)) (/ (* x y) (pow t 2))) z)) (/ x t)) z)) (taylor -inf z) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor -inf z) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ y z)) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ y z)) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 (/ y z)) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* t z))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x (* t z))) (* -1 (/ (* x y) (* (pow t 2) (pow z 2))))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x (* t z))) (* y (- (* -1 (/ (* x y) (* (pow t 3) (pow z 3)))) (/ x (* (pow t 2) (pow z 2)))))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ x (* t z))) (* y (- (* y (- (* -1 (/ (* x y) (* (pow t 4) (pow z 4)))) (/ x (* (pow t 3) (pow z 3))))) (/ x (* (pow t 2) (pow z 2)))))) (taylor 0 y) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor 0 y) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (- y (* t z)) (taylor 0 y) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (- y (* t z)) (taylor 0 y) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (- y (* t z)) (taylor 0 y) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor inf y) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ x (/ (* t (* x z)) y)) y) (taylor inf y) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))) (* -1 (/ (* t (* x z)) y))) y) (taylor inf y) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (+ x (/ (* (pow t 3) (* x (pow z 3))) (pow y 3))) (+ (* -1 (/ (* t (* x z)) y)) (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))))) y) (taylor inf y) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor inf y) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ (* t z) y)))) (taylor inf y) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ (* t z) y)))) (taylor inf y) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ 1 (* -1 (/ (* t z) y)))) (taylor inf y) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf y) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (* t (* x z)) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* t (* x z)) (/ (* (pow t 2) (* x (pow z 2))) y)) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow t 2) (* x (pow z 2)))) (* -1 (/ (* (pow t 3) (* x (pow z 3))) y))) y)) (* t (* x z))) y))) y)) (taylor -inf y) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor -inf y) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ (* t z) y) 1))) (taylor -inf y) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ (* t z) y) 1))) (taylor -inf y) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (- (/ (* t z) y) 1))) (taylor -inf y) (#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor 0 x) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor 0 x) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor 0 x) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor 0 x) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor inf x) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor inf x) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor inf x) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor inf x) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 y (*.f64 z t))) (patch (/.f64 x (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 1.0ms | z | @ | -inf | ((/ x (- y (* z t))) (- y (* z t)) (* z t)) |
| 1.0ms | t | @ | -inf | ((/ x (- y (* z t))) (- y (* z t)) (* z t)) |
| 1.0ms | z | @ | inf | ((/ x (- y (* z t))) (- y (* z t)) (* z t)) |
| 1.0ms | t | @ | inf | ((/ x (- y (* z t))) (- y (* z t)) (* z t)) |
| 1.0ms | t | @ | 0 | ((/ x (- y (* z t))) (- y (* z t)) (* z t)) |
| 1× | egg-herbie |
| 7 178× | lower-fma.f64 |
| 7 178× | lower-fma.f32 |
| 5 180× | lower-*.f64 |
| 5 180× | lower-*.f32 |
| 3 686× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 243 | 1179 |
| 1 | 779 | 1140 |
| 2 | 2704 | 1087 |
| 3 | 7691 | 1085 |
| 0 | 8981 | 1047 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
y |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -1 (/ x (* t z))) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) (/ (* x y) (* t (pow z 2)))) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 3)) (* (pow t 3) (pow z 4))))) (+ (/ (* x y) (* t (pow z 2))) (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) t) |
(* -1 (* t z)) |
(* t (- (/ y t) z)) |
(* t (- (/ y t) z)) |
(* t (- (/ y t) z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -1 (/ x (* t z))) |
(* -1 (/ (+ (/ x z) (/ (* x y) (* t (pow z 2)))) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow y 2)) (* t (pow z 3)))) (/ (* x y) (pow z 2))) t)) (/ x z)) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) (* t (pow z 4))) (* -1 (/ (* x (pow y 2)) (pow z 3)))) t)) (/ (* x y) (pow z 2))) t)) (/ x z)) t)) |
(* -1 (* t z)) |
(* -1 (* t (- (* -1 (/ y t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ y t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ y t)) (* -1 z)))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* z (- (/ (* (pow t 2) (* x z)) (pow y 3)) (* -1 (/ (* t x) (pow y 2))))) (/ x y)) |
(+ (* z (- (* z (- (/ (* (pow t 3) (* x z)) (pow y 4)) (* -1 (/ (* (pow t 2) x) (pow y 3))))) (* -1 (/ (* t x) (pow y 2))))) (/ x y)) |
y |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -1 (/ x (* t z))) |
(/ (+ (* -1 (/ x t)) (* -1 (/ (* x y) (* (pow t 2) z)))) z) |
(/ (- (+ (* -1 (/ x t)) (* -1 (/ (* x (pow y 2)) (* (pow t 3) (pow z 2))))) (/ (* x y) (* (pow t 2) z))) z) |
(/ (- (+ (* -1 (/ x t)) (* -1 (/ (* x (pow y 3)) (* (pow t 4) (pow z 3))))) (+ (/ (* x y) (* (pow t 2) z)) (/ (* x (pow y 2)) (* (pow t 3) (pow z 2))))) z) |
(* -1 (* t z)) |
(* z (- (/ y z) t)) |
(* z (- (/ y z) t)) |
(* z (- (/ y z) t)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -1 (/ x (* t z))) |
(* -1 (/ (+ (/ x t) (/ (* x y) (* (pow t 2) z))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow y 2)) (* (pow t 3) z))) (/ (* x y) (pow t 2))) z)) (/ x t)) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) (* (pow t 4) z)) (* -1 (/ (* x (pow y 2)) (pow t 3)))) z)) (/ (* x y) (pow t 2))) z)) (/ x t)) z)) |
(* -1 (* t z)) |
(* -1 (* z (- (* -1 (/ y z)) (* -1 t)))) |
(* -1 (* z (- (* -1 (/ y z)) (* -1 t)))) |
(* -1 (* z (- (* -1 (/ y z)) (* -1 t)))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -1 (/ x (* t z))) |
(+ (* -1 (/ x (* t z))) (* -1 (/ (* x y) (* (pow t 2) (pow z 2))))) |
(+ (* -1 (/ x (* t z))) (* y (- (* -1 (/ (* x y) (* (pow t 3) (pow z 3)))) (/ x (* (pow t 2) (pow z 2)))))) |
(+ (* -1 (/ x (* t z))) (* y (- (* y (- (* -1 (/ (* x y) (* (pow t 4) (pow z 4)))) (/ x (* (pow t 3) (pow z 3))))) (/ x (* (pow t 2) (pow z 2)))))) |
(* -1 (* t z)) |
(- y (* t z)) |
(- y (* t z)) |
(- y (* t z)) |
(/ x y) |
(/ (+ x (/ (* t (* x z)) y)) y) |
(/ (- (+ x (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))) (* -1 (/ (* t (* x z)) y))) y) |
(/ (- (+ x (/ (* (pow t 3) (* x (pow z 3))) (pow y 3))) (+ (* -1 (/ (* t (* x z)) y)) (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))))) y) |
y |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* t (* x z)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* t (* x z)) (/ (* (pow t 2) (* x (pow z 2))) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow t 2) (* x (pow z 2)))) (* -1 (/ (* (pow t 3) (* x (pow z 3))) y))) y)) (* t (* x z))) y))) y)) |
y |
(* -1 (* y (- (/ (* t z) y) 1))) |
(* -1 (* y (- (/ (* t z) y) 1))) |
(* -1 (* y (- (/ (* t z) y) 1))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
| Outputs |
|---|
(/ x y) |
(/.f64 x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(fma.f64 (/.f64 t y) (*.f64 z (/.f64 x y)) (/.f64 x y)) |
(+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(fma.f64 (*.f64 t (fma.f64 t (*.f64 z (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 x y) y))) z (/.f64 x y)) |
(+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 t (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 z z) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) t (*.f64 (/.f64 (/.f64 z y) y) x)) t (/.f64 x y)) |
y |
(+ y (* -1 (* t z))) |
(fma.f64 (neg.f64 t) z y) |
(+ y (* -1 (* t z))) |
(fma.f64 (neg.f64 t) z y) |
(+ y (* -1 (* t z))) |
(fma.f64 (neg.f64 t) z y) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* -1 (/ x (* t z))) |
(/.f64 (neg.f64 x) (*.f64 z t)) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y t) (/.f64 x z)) (neg.f64 t)) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) (/ (* x y) (* t (pow z 2)))) t) |
(/.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (/.f64 x t)) (neg.f64 z)) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 3)) (* (pow t 3) (pow z 4))))) (+ (/ (* x y) (* t (pow z 2))) (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) t) |
(/.f64 (-.f64 (*.f64 x (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))) (pow.f64 t #s(literal 3 binary64))))) (/.f64 (*.f64 x (fma.f64 y (/.f64 y (*.f64 (pow.f64 z #s(literal 3 binary64)) t)) (/.f64 (/.f64 y z) z))) t)) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* t (- (/ y t) z)) |
(*.f64 (-.f64 (/.f64 y t) z) t) |
(* t (- (/ y t) z)) |
(*.f64 (-.f64 (/.f64 y t) z) t) |
(* t (- (/ y t) z)) |
(*.f64 (-.f64 (/.f64 y t) z) t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* -1 (/ x (* t z))) |
(/.f64 (neg.f64 x) (*.f64 z t)) |
(* -1 (/ (+ (/ x z) (/ (* x y) (* t (pow z 2)))) t)) |
(/.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y t) (/.f64 x z)) (neg.f64 t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow y 2)) (* t (pow z 3)))) (/ (* x y) (pow z 2))) t)) (/ x z)) t)) |
(/.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (/.f64 x t)) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) (* t (pow z 4))) (* -1 (/ (* x (pow y 2)) (pow z 3)))) t)) (/ (* x y) (pow z 2))) t)) (/ x z)) t)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (/.f64 y z) z) x (/.f64 (*.f64 x (fma.f64 y (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) t) (pow.f64 z #s(literal 4 binary64))))) t)) t) (/.f64 x z)) (neg.f64 t)) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* t (- (* -1 (/ y t)) (* -1 z)))) |
(*.f64 (-.f64 (/.f64 y t) z) t) |
(* -1 (* t (- (* -1 (/ y t)) (* -1 z)))) |
(*.f64 (-.f64 (/.f64 y t) z) t) |
(* -1 (* t (- (* -1 (/ y t)) (* -1 z)))) |
(*.f64 (-.f64 (/.f64 y t) z) t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(/ x y) |
(/.f64 x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(fma.f64 (/.f64 t y) (*.f64 z (/.f64 x y)) (/.f64 x y)) |
(+ (* z (- (/ (* (pow t 2) (* x z)) (pow y 3)) (* -1 (/ (* t x) (pow y 2))))) (/ x y)) |
(fma.f64 (*.f64 t (fma.f64 t (*.f64 z (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (/.f64 (/.f64 x y) y))) z (/.f64 x y)) |
(+ (* z (- (* z (- (/ (* (pow t 3) (* x z)) (pow y 4)) (* -1 (/ (* (pow t 2) x) (pow y 3))))) (* -1 (/ (* t x) (pow y 2))))) (/ x y)) |
(fma.f64 (fma.f64 (*.f64 (*.f64 t t) (fma.f64 t (*.f64 z (/.f64 x (pow.f64 y #s(literal 4 binary64)))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) z (*.f64 (/.f64 t y) (/.f64 x y))) z (/.f64 x y)) |
y |
(+ y (* -1 (* t z))) |
(fma.f64 (neg.f64 t) z y) |
(+ y (* -1 (* t z))) |
(fma.f64 (neg.f64 t) z y) |
(+ y (* -1 (* t z))) |
(fma.f64 (neg.f64 t) z y) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* -1 (/ x (* t z))) |
(/.f64 (neg.f64 x) (*.f64 z t)) |
(/ (+ (* -1 (/ x t)) (* -1 (/ (* x y) (* (pow t 2) z)))) z) |
(/.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y t) (/.f64 x z)) (neg.f64 t)) |
(/ (- (+ (* -1 (/ x t)) (* -1 (/ (* x (pow y 2)) (* (pow t 3) (pow z 2))))) (/ (* x y) (* (pow t 2) z))) z) |
(/.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (/.f64 x t)) (neg.f64 z)) |
(/ (- (+ (* -1 (/ x t)) (* -1 (/ (* x (pow y 3)) (* (pow t 4) (pow z 3))))) (+ (/ (* x y) (* (pow t 2) z)) (/ (* x (pow y 2)) (* (pow t 3) (pow z 2))))) z) |
(/.f64 (neg.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (/.f64 x (pow.f64 t #s(literal 4 binary64))) (/.f64 x t)))) z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* z (- (/ y z) t)) |
(*.f64 (-.f64 (/.f64 y z) t) z) |
(* z (- (/ y z) t)) |
(*.f64 (-.f64 (/.f64 y z) t) z) |
(* z (- (/ y z) t)) |
(*.f64 (-.f64 (/.f64 y z) t) z) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* -1 (/ x (* t z))) |
(/.f64 (neg.f64 x) (*.f64 z t)) |
(* -1 (/ (+ (/ x t) (/ (* x y) (* (pow t 2) z))) z)) |
(/.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y t) (/.f64 x z)) (neg.f64 t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow y 2)) (* (pow t 3) z))) (/ (* x y) (pow t 2))) z)) (/ x t)) z)) |
(/.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (/.f64 x t)) (neg.f64 z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) (* (pow t 4) z)) (* -1 (/ (* x (pow y 2)) (pow t 3)))) z)) (/ (* x y) (pow t 2))) z)) (/ x t)) z)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (fma.f64 (pow.f64 (/.f64 y z) #s(literal 3 binary64)) (/.f64 x (pow.f64 t #s(literal 4 binary64))) (/.f64 x t)))) z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* z (- (* -1 (/ y z)) (* -1 t)))) |
(*.f64 (-.f64 (/.f64 y z) t) z) |
(* -1 (* z (- (* -1 (/ y z)) (* -1 t)))) |
(*.f64 (-.f64 (/.f64 y z) t) z) |
(* -1 (* z (- (* -1 (/ y z)) (* -1 t)))) |
(*.f64 (-.f64 (/.f64 y z) t) z) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* -1 (/ x (* t z))) |
(/.f64 (neg.f64 x) (*.f64 z t)) |
(+ (* -1 (/ x (* t z))) (* -1 (/ (* x y) (* (pow t 2) (pow z 2))))) |
(/.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y t) (/.f64 x z)) (neg.f64 t)) |
(+ (* -1 (/ x (* t z))) (* y (- (* -1 (/ (* x y) (* (pow t 3) (pow z 3)))) (/ x (* (pow t 2) (pow z 2)))))) |
(fma.f64 (neg.f64 (fma.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 x (*.f64 (*.f64 (*.f64 t t) z) z)))) y (/.f64 (neg.f64 x) (*.f64 z t))) |
(+ (* -1 (/ x (* t z))) (* y (- (* y (- (* -1 (/ (* x y) (* (pow t 4) (pow z 4)))) (/ x (* (pow t 3) (pow z 3))))) (/ x (* (pow t 2) (pow z 2)))))) |
(fma.f64 (*.f64 (neg.f64 (fma.f64 (/.f64 y (pow.f64 t #s(literal 4 binary64))) (/.f64 x (pow.f64 z #s(literal 4 binary64))) (/.f64 (/.f64 x (pow.f64 z #s(literal 3 binary64))) (pow.f64 t #s(literal 3 binary64))))) y) y (/.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y t) (/.f64 x z)) (neg.f64 t))) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(- y (* t z)) |
(fma.f64 (neg.f64 t) z y) |
(- y (* t z)) |
(fma.f64 (neg.f64 t) z y) |
(- y (* t z)) |
(fma.f64 (neg.f64 t) z y) |
(/ x y) |
(/.f64 x y) |
(/ (+ x (/ (* t (* x z)) y)) y) |
(/.f64 (fma.f64 (*.f64 z (/.f64 x y)) t x) y) |
(/ (- (+ x (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))) (* -1 (/ (* t (* x z)) y))) y) |
(/.f64 (fma.f64 t (fma.f64 t (/.f64 (/.f64 (*.f64 (*.f64 z z) x) y) y) (*.f64 z (/.f64 x y))) x) y) |
(/ (- (+ x (/ (* (pow t 3) (* x (pow z 3))) (pow y 3))) (+ (* -1 (/ (* t (* x z)) y)) (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))))) y) |
(/.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (pow.f64 t #s(literal 3 binary64)) (fma.f64 t (fma.f64 t (/.f64 (/.f64 (*.f64 (*.f64 z z) x) y) y) (*.f64 z (/.f64 x y))) x)) y) |
y |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y) |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y) |
(/ x y) |
(/.f64 x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* t (* x z)) y))) y)) |
(/.f64 (fma.f64 (*.f64 z (/.f64 x y)) t x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* t (* x z)) (/ (* (pow t 2) (* x (pow z 2))) y)) y))) y)) |
(/.f64 (+.f64 (/.f64 (*.f64 t (fma.f64 t (/.f64 (*.f64 (*.f64 z z) x) y) (*.f64 z x))) y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow t 2) (* x (pow z 2)))) (* -1 (/ (* (pow t 3) (* x (pow z 3))) y))) y)) (* t (* x z))) y))) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 t x) z (/.f64 (*.f64 (*.f64 t t) (fma.f64 t (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) x) y) (*.f64 (*.f64 z z) x))) y)) y) x) y) |
y |
(* -1 (* y (- (/ (* t z) y) 1))) |
(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y) |
(* -1 (* y (- (/ (* t z) y) 1))) |
(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y) |
(* -1 (* y (- (/ (* t z) y) 1))) |
(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
| 6 892× | lower-fma.f64 |
| 6 892× | lower-fma.f32 |
| 4 246× | lower-*.f32 |
| 4 244× | lower-*.f64 |
| 4 082× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 7 | 15 |
| 0 | 10 | 15 |
| 1 | 37 | 15 |
| 2 | 248 | 15 |
| 3 | 2420 | 15 |
| 0 | 8983 | 15 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (-.f64 y (*.f64 z t))) |
(-.f64 y (*.f64 z t)) |
(*.f64 z t) |
| Outputs |
|---|
(*.f64 (pow.f64 (/.f64 (fma.f64 t z y) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y (*.f64 t z)) (fma.f64 t z y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y)) x) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y (*.f64 t z)) (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y))) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 t z) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 (neg.f64 x) (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (neg.f64 (fma.f64 t z y))) |
(*.f64 (/.f64 x (fma.f64 #s(literal -1 binary64) (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (neg.f64 (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y)))) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (fma.f64 t z y)) |
(*.f64 (*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y))) |
(*.f64 (*.f64 #s(literal 1 binary64) (neg.f64 x)) (pow.f64 (-.f64 (*.f64 t z) y) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (/.f64 (-.f64 y (*.f64 t z)) x) #s(literal -1/2 binary64)) (pow.f64 (/.f64 (-.f64 y (*.f64 t z)) x) #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 x #s(literal 1 binary64)) (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (pow.f64 (fma.f64 t z y) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (fma.f64 t z y)) |
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (pow.f64 (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y)) #s(literal 1 binary64))) |
(*.f64 (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y))) |
(*.f64 (pow.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 t z y) #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 t z y) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 t z y) x)) |
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y)) #s(literal -1 binary64)) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) #s(literal -1 binary64)) (pow.f64 (pow.f64 (*.f64 (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y)) x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))) #s(literal -1 binary64)) (*.f64 (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y)) x)) |
(*.f64 (pow.f64 (-.f64 (*.f64 t z) y) #s(literal -1 binary64)) (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 (*.f64 t z) y) #s(literal -1 binary64)) (neg.f64 x)) |
(*.f64 (pow.f64 (fma.f64 t z y) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y (*.f64 t z)) (*.f64 (fma.f64 t z y) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y)) #s(literal -1 binary64)) (pow.f64 (/.f64 (-.f64 y (*.f64 t z)) (*.f64 (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y)) x)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) (pow.f64 (/.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal 1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) (pow.f64 x #s(literal 1 binary64))) |
(*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) |
(*.f64 #s(literal -1 binary64) (/.f64 x (-.f64 (*.f64 t z) y))) |
(*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) |
(*.f64 #s(literal 1 binary64) (/.f64 x (-.f64 y (*.f64 t z)))) |
(*.f64 (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y)) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) |
(*.f64 (neg.f64 x) (pow.f64 (-.f64 (*.f64 t z) y) #s(literal -1 binary64))) |
(*.f64 (/.f64 x (-.f64 y (*.f64 t z))) #s(literal 1 binary64)) |
(*.f64 x (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 (/.f64 (-.f64 y (*.f64 t z)) x))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 (/.f64 (-.f64 y (*.f64 t z)) x) (/.f64 (-.f64 y (*.f64 t z)) x)) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 (/.f64 (-.f64 y (*.f64 t z)) x) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (/.f64 (-.f64 y (*.f64 t z)) x) #s(literal -1 binary64)) |
(pow.f64 (/.f64 x (-.f64 y (*.f64 t z))) #s(literal 1 binary64)) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 t z) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 y (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 t z) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (*.f64 (*.f64 t z) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 y (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (*.f64 y (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))))) (*.f64 (*.f64 (*.f64 t z) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (*.f64 y (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 t z) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 y (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (*.f64 y (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 t z) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (*.f64 (*.f64 t z) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))))) (*.f64 (*.f64 y (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (*.f64 (*.f64 t z) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (fma.f64 y y (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (*.f64 t z) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) #s(literal 3 binary64))) (fma.f64 (*.f64 (fma.f64 y y (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (*.f64 (fma.f64 y y (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (-.f64 (*.f64 (*.f64 (*.f64 (*.f64 t z) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 t z) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))))) (*.f64 (*.f64 (fma.f64 y y (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))) (*.f64 (*.f64 (*.f64 t z) y) (/.f64 x (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64))))))))) |
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(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (fma.f64 t z y)) (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 4 binary64)) (fma.f64 y y (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (fma.f64 t z y))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 y y (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 t z y)) (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 y y (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (fma.f64 t z y))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y)))) (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 t z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y)))) (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 t z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))) (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y)))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (*.f64 #s(literal 1 binary64) (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (*.f64 y (neg.f64 t)) z)))) (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (*.f64 y (neg.f64 t)) z))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 t z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (*.f64 y (neg.f64 t)) z)))) (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 t z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))) (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (*.f64 y (neg.f64 t)) z))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (*.f64 y (neg.f64 t)) z)))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (+.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (-.f64 (*.f64 y y) (*.f64 (*.f64 y (neg.f64 t)) z))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y))))) (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 t z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y))))) (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 t z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))) (neg.f64 (neg.f64 (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y)))))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (neg.f64 (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y))))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y))) (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 6 binary64)) (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 3 binary64)))) (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 t z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y))) (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 9 binary64)) (+.f64 (+.f64 (pow.f64 (*.f64 (*.f64 t z) y) #s(literal 3 binary64)) (pow.f64 (*.f64 t z) #s(literal 6 binary64))) (pow.f64 y #s(literal 6 binary64)))) (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y)))) |
(-.f64 (/.f64 (/.f64 (*.f64 y y) (neg.f64 (fma.f64 t z y))) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (neg.f64 (fma.f64 t z y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y)))) #s(literal -1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y))) #s(literal -1 binary64))) |
(-.f64 (/.f64 (*.f64 t z) #s(literal -1 binary64)) (/.f64 y #s(literal -1 binary64))) |
(-.f64 (/.f64 (+.f64 y #s(literal 0 binary64)) #s(literal 1 binary64)) (/.f64 (*.f64 t z) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (*.f64 y (/.f64 y (fma.f64 t z y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z y)) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y))) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 y #s(literal 1 binary64)) #s(literal 1 binary64)) (/.f64 (/.f64 (*.f64 t z) #s(literal 1 binary64)) #s(literal 1 binary64))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (fma.f64 t z y))) (-.f64 (*.f64 t z) y)) |
(-.f64 (+.f64 y #s(literal 0 binary64)) (*.f64 t z)) |
(-.f64 (/.f64 (*.f64 y (/.f64 y (fma.f64 t z y))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z y)) #s(literal 1 binary64))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y))) #s(literal 1 binary64)) (/.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y))) #s(literal 1 binary64))) |
(-.f64 (/.f64 y #s(literal 1 binary64)) (/.f64 (*.f64 t z) #s(literal 1 binary64))) |
(-.f64 (*.f64 y (/.f64 y (fma.f64 t z y))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z y))) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y))) (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y)))) |
(-.f64 #s(literal 0 binary64) (-.f64 (*.f64 t z) y)) |
(-.f64 y (*.f64 t z)) |
(exp.f64 (neg.f64 (*.f64 (log.f64 (-.f64 y (*.f64 t z))) #s(literal -1 binary64)))) |
(exp.f64 (*.f64 (*.f64 (log.f64 (-.f64 y (*.f64 t z))) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64))) #s(literal -1 binary64))) |
(+.f64 (neg.f64 (neg.f64 y)) (*.f64 (neg.f64 t) z)) |
(+.f64 (*.f64 y (/.f64 y (fma.f64 t z y))) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (fma.f64 t z y)))) |
(+.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y))) (neg.f64 (/.f64 (pow.f64 (*.f64 t z) #s(literal 3 binary64)) (fma.f64 (fma.f64 t z y) (*.f64 t z) (*.f64 y y))))) |
(+.f64 (*.f64 (neg.f64 t) z) y) |
(+.f64 y (*.f64 (neg.f64 t) z)) |
(*.f64 (exp.f64 (log.f64 z)) (exp.f64 (log.f64 t))) |
(*.f64 (exp.f64 (log.f64 t)) (exp.f64 (log.f64 z))) |
(*.f64 (pow.f64 (neg.f64 t) #s(literal 1 binary64)) (pow.f64 (neg.f64 z) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 z) #s(literal 1 binary64)) (pow.f64 (neg.f64 t) #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 z)) #s(literal 1 binary64)) (pow.f64 t #s(literal 1 binary64))) |
(*.f64 (pow.f64 (neg.f64 (neg.f64 t)) #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (pow.f64 t #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 z)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 t #s(literal 1 binary64)) (pow.f64 z #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 (neg.f64 (neg.f64 t)) #s(literal 1 binary64))) |
(*.f64 (pow.f64 z #s(literal 1 binary64)) (pow.f64 t #s(literal 1 binary64))) |
(*.f64 (neg.f64 (neg.f64 t)) z) |
(*.f64 (neg.f64 (neg.f64 z)) t) |
(*.f64 (neg.f64 t) (neg.f64 z)) |
(*.f64 #s(literal -1 binary64) (pow.f64 (*.f64 (neg.f64 t) z) #s(literal 1 binary64))) |
(*.f64 #s(literal -1 binary64) (*.f64 (neg.f64 t) z)) |
(*.f64 (neg.f64 z) (neg.f64 t)) |
(*.f64 #s(literal 1 binary64) (*.f64 t z)) |
(*.f64 t (neg.f64 (neg.f64 z))) |
(*.f64 t z) |
(*.f64 z (neg.f64 (neg.f64 t))) |
(*.f64 z t) |
(pow.f64 (*.f64 t z) #s(literal 1 binary64)) |
(neg.f64 (*.f64 (neg.f64 t) z)) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 t) z)) |
(exp.f64 (*.f64 (log.f64 (*.f64 t z)) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (*.f64 t z))) |
Compiled 12 819 to 1 369 computations (89.3% saved)
11 alts after pruning (10 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 445 | 10 | 455 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 445 | 11 | 456 |
| Status | Accuracy | Program |
|---|---|---|
| 17.5% | (/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 t z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 t z)) (*.f64 (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 t z)) (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) y) (*.f64 (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) y)) (*.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 t z)) (*.f64 (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) y))))) | |
| ▶ | 57.4% | (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) |
| ✓ | 95.6% | (/.f64 x (-.f64 y (*.f64 z t))) |
| 85.0% | (/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y))) | |
| 46.5% | (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) | |
| ▶ | 94.5% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) |
| ▶ | 56.7% | (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) |
| ▶ | 95.4% | (*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) |
| 40.8% | #s(approx (/ x (- y (* z t))) (/.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y t) (/.f64 x z)) (neg.f64 t))) | |
| 38.7% | #s(approx (/ x (- y (* z t))) (/.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (/.f64 x t)) (neg.f64 z))) | |
| ▶ | 58.1% | #s(approx (/ x (- y (* z t))) (/.f64 x y)) |
Compiled 483 to 239 computations (50.5% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) | |
| cost-diff | 0 | (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) | |
| cost-diff | 0 | (fma.f64 t z y) | |
| cost-diff | 7488 | (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) | |
| cost-diff | 0 | (fma.f64 t z y) | |
| cost-diff | 0 | (*.f64 (fma.f64 t z y) x) | |
| cost-diff | 0 | (neg.f64 (*.f64 (fma.f64 t z y) x)) | |
| cost-diff | 7616 | (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) | |
| cost-diff | 0 | (*.f64 t z) | |
| cost-diff | 0 | (-.f64 y (*.f64 t z)) | |
| cost-diff | 0 | (/.f64 (-.f64 y (*.f64 t z)) x) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) | |
| cost-diff | 0 | (/.f64 x y) | |
| cost-diff | 0 | #s(approx (/ x (- y (* z t))) (/.f64 x y)) | |
| cost-diff | 0 | (*.f64 t z) | |
| cost-diff | 0 | (-.f64 y (*.f64 t z)) | |
| cost-diff | 0 | (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) | |
| cost-diff | 6080 | (*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) |
| 5 508× | lower-fma.f32 |
| 5 506× | lower-fma.f64 |
| 3 306× | lower-*.f32 |
| 3 294× | lower-*.f64 |
| 2 668× | lower-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 187 |
| 0 | 47 | 171 |
| 1 | 85 | 171 |
| 2 | 214 | 163 |
| 3 | 639 | 162 |
| 4 | 2030 | 162 |
| 5 | 4708 | 162 |
| 0 | 8157 | 162 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) |
(pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) |
(-.f64 y (*.f64 t z)) |
y |
(*.f64 t z) |
t |
z |
#s(literal -1 binary64) |
x |
#s(approx (/ x (- y (* z t))) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 y (*.f64 t z)) x) |
(-.f64 y (*.f64 t z)) |
y |
(*.f64 t z) |
t |
z |
x |
(/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) |
(neg.f64 (*.f64 (fma.f64 t z y) x)) |
(*.f64 (fma.f64 t z y) x) |
(fma.f64 t z y) |
t |
z |
y |
x |
(*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y)) |
(-.f64 (*.f64 t z) y) |
(*.f64 t z) |
(*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) |
(fma.f64 t z y) |
t |
z |
y |
(/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) |
x |
(-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) |
(*.f64 y y) |
(pow.f64 (*.f64 t z) #s(literal 2 binary64)) |
(*.f64 t z) |
#s(literal 2 binary64) |
| Outputs |
|---|
(*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) |
(pow.f64 (-.f64 y (*.f64 z t)) #s(literal -1 binary64)) |
(-.f64 y (*.f64 t z)) |
(-.f64 y (*.f64 z t)) |
y |
(*.f64 t z) |
(*.f64 z t) |
t |
z |
#s(literal -1 binary64) |
x |
#s(approx (/ x (- y (* z t))) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) |
(/.f64 x (-.f64 y (*.f64 z t))) |
#s(literal 1 binary64) |
(/.f64 (-.f64 y (*.f64 t z)) x) |
(/.f64 (-.f64 y (*.f64 z t)) x) |
(-.f64 y (*.f64 t z)) |
(-.f64 y (*.f64 z t)) |
y |
(*.f64 t z) |
(*.f64 z t) |
t |
z |
x |
(/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(neg.f64 (*.f64 (fma.f64 t z y) x)) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(*.f64 (fma.f64 t z y) x) |
(*.f64 (fma.f64 z t y) x) |
(fma.f64 t z y) |
(fma.f64 z t y) |
t |
z |
y |
x |
(*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y)) |
(fma.f64 (neg.f64 y) y (pow.f64 (*.f64 z t) #s(literal 2 binary64))) |
(-.f64 (*.f64 t z) y) |
(-.f64 (*.f64 z t) y) |
(*.f64 t z) |
(*.f64 z t) |
(*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(fma.f64 t z y) |
(fma.f64 z t y) |
t |
z |
y |
(/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) |
(/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) |
x |
(-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) |
(-.f64 (*.f64 y y) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) |
(*.f64 y y) |
(pow.f64 (*.f64 t z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z t) #s(literal 2 binary64)) |
(*.f64 t z) |
(*.f64 z t) |
#s(literal 2 binary64) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.244472509768442 | (pow.f64 (*.f64 t z) #s(literal 2 binary64)) | |
| accuracy | 4.3945064799624705 | (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) | |
| accuracy | 7.582613614101112 | (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) | |
| accuracy | 17.717386916150563 | (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) | |
| accuracy | 0.00390625 | (-.f64 (*.f64 t z) y) | |
| accuracy | 0.1171875 | (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y)) | |
| accuracy | 2.4023492155623476 | (*.f64 (fma.f64 t z y) x) | |
| accuracy | 24.466170516123423 | (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) | |
| accuracy | 0 | (*.f64 t z) | |
| accuracy | 0.00390625 | (-.f64 y (*.f64 t z)) | |
| accuracy | 0.9162422090971416 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) | |
| accuracy | 2.6691066892489164 | (/.f64 (-.f64 y (*.f64 t z)) x) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 26.80431042681065 | #s(approx (/ x (- y (* z t))) (/.f64 x y)) | |
| accuracy | 0 | (*.f64 t z) | |
| accuracy | 0.00390625 | (-.f64 y (*.f64 t z)) | |
| accuracy | 0.35762550794555736 | (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) | |
| accuracy | 2.732074918901722 | (*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) |
| 61.0ms | 256× | 0 | valid |
Compiled 193 to 30 computations (84.5% saved)
ival-pow: 14.0ms (33% of total)ival-mult: 10.0ms (23.6% of total)ival-div: 9.0ms (21.2% of total)ival-sub: 4.0ms (9.4% of total)ival-pow2: 2.0ms (4.7% of total)ival-add: 1.0ms (2.4% of total)ival-neg: 1.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) (patch (*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 y (*.f64 t z)) (patch (-.f64 y (*.f64 t z)) #<representation binary64>) () ()) |
#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (- y (* z t))) (/.f64 x y)) (patch #s(approx (/ x (- y (* z t))) (/.f64 x y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 y (*.f64 t z)) x) (patch (/.f64 (-.f64 y (*.f64 t z)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 (fma.f64 t z y) x)) (patch (neg.f64 (*.f64 (fma.f64 t z y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 t z y) x) (patch (*.f64 (fma.f64 t z y) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 t z y) (patch (fma.f64 t z y) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (patch (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) (patch (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y)) (patch (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 t z) y) (patch (-.f64 (*.f64 t z) y) #<representation binary64>) () ()) |
#s(alt (pow.f64 (*.f64 t z) #s(literal 2 binary64)) (patch (pow.f64 (*.f64 t z) #s(literal 2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x y) (taylor 0 t) (#s(alt (*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) (patch (*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x y) (/ (* t (* x z)) (pow y 2))) (taylor 0 t) (#s(alt (*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) (patch (*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) (taylor 0 t) (#s(alt (*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) (patch (*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) (taylor 0 t) (#s(alt (*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) (patch (*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 t) (#s(alt (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 y) (/ (* t z) (pow y 2))) (taylor 0 t) (#s(alt (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- (/ (* t (pow z 2)) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ 1 y)) (taylor 0 t) (#s(alt (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- (* t (- (/ (* t (pow z 3)) (pow y 4)) (* -1 (/ (pow z 2) (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ 1 y)) (taylor 0 t) (#s(alt (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) (patch (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 t) (#s(alt (-.f64 y (*.f64 t z)) (patch (-.f64 y (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 t) (#s(alt (-.f64 y (*.f64 t z)) (patch (-.f64 y (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 t) (#s(alt (-.f64 y (*.f64 t z)) (patch (-.f64 y (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 t) (#s(alt (-.f64 y (*.f64 t z)) (patch (-.f64 y (*.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 (/ x y) (taylor 0 t) (#s(alt #s(approx (/ x (- y (* z t))) (/.f64 x y)) (patch #s(approx (/ x (- y (* z t))) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x y) (/ (* t (* x z)) (pow y 2))) (taylor 0 t) (#s(alt #s(approx (/ x (- y (* z t))) (/.f64 x y)) (patch #s(approx (/ x (- y (* z t))) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) (taylor 0 t) (#s(alt #s(approx (/ x (- y (* z t))) (/.f64 x y)) (patch #s(approx (/ x (- y (* z t))) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) (taylor 0 t) (#s(alt #s(approx (/ x (- y (* z t))) (/.f64 x y)) (patch #s(approx (/ x (- y (* z t))) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x y) (/ (* t (* x z)) (pow y 2))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 t) (#s(alt (/.f64 (-.f64 y (*.f64 t z)) x) (patch (/.f64 (-.f64 y (*.f64 t z)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t z) x)) (/ y x)) (taylor 0 t) (#s(alt (/.f64 (-.f64 y (*.f64 t z)) x) (patch (/.f64 (-.f64 y (*.f64 t z)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t z) x)) (/ y x)) (taylor 0 t) (#s(alt (/.f64 (-.f64 y (*.f64 t z)) x) (patch (/.f64 (-.f64 y (*.f64 t z)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t z) x)) (/ y x)) (taylor 0 t) (#s(alt (/.f64 (-.f64 y (*.f64 t z)) x) (patch (/.f64 (-.f64 y (*.f64 t z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 t) (#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x y) (/ (* t (* x z)) (pow y 2))) (taylor 0 t) (#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (/ (* t (* x (pow z 2))) (pow y 3)) (/ (* x z) (pow y 2)))) (/ x y)) (taylor 0 t) (#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* t (+ (/ (* t (* x (pow z 3))) (pow y 4)) (/ (* x (pow z 2)) (pow y 3)))) (/ (* x z) (pow y 2)))) (/ x y)) (taylor 0 t) (#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 t) (#s(alt (neg.f64 (*.f64 (fma.f64 t z y) x)) (patch (neg.f64 (*.f64 (fma.f64 t z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (* t (* x z))) (* x y)) (taylor 0 t) (#s(alt (neg.f64 (*.f64 (fma.f64 t z y) x)) (patch (neg.f64 (*.f64 (fma.f64 t z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (* t (* x z))) (* x y)) (taylor 0 t) (#s(alt (neg.f64 (*.f64 (fma.f64 t z y) x)) (patch (neg.f64 (*.f64 (fma.f64 t z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (* t (* x z))) (* x y)) (taylor 0 t) (#s(alt (neg.f64 (*.f64 (fma.f64 t z y) x)) (patch (neg.f64 (*.f64 (fma.f64 t z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 t) (#s(alt (*.f64 (fma.f64 t z y) x) (patch (*.f64 (fma.f64 t z y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (* x z)) (* x y)) (taylor 0 t) (#s(alt (*.f64 (fma.f64 t z y) x) (patch (*.f64 (fma.f64 t z y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (* x z)) (* x y)) (taylor 0 t) (#s(alt (*.f64 (fma.f64 t z y) x) (patch (*.f64 (fma.f64 t z y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (* x z)) (* x y)) (taylor 0 t) (#s(alt (*.f64 (fma.f64 t z y) x) (patch (*.f64 (fma.f64 t z y) x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 t) (#s(alt (fma.f64 t z y) (patch (fma.f64 t z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* t z)) (taylor 0 t) (#s(alt (fma.f64 t z y) (patch (fma.f64 t z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* t z)) (taylor 0 t) (#s(alt (fma.f64 t z y) (patch (fma.f64 t z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* t z)) (taylor 0 t) (#s(alt (fma.f64 t z y) (patch (fma.f64 t z y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 t) (#s(alt (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x y) (/ (* t (* x z)) (pow y 2))) (taylor 0 t) (#s(alt (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (/ (* t (* x (pow z 2))) (pow y 3)) (/ (* x z) (pow y 2)))) (/ x y)) (taylor 0 t) (#s(alt (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (/ (* x z) (pow y 2)))) (/ x y)) (taylor 0 t) (#s(alt (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (pow y 2)) (taylor 0 t) (#s(alt (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (patch (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x (pow y 2)) (/ (* (pow t 2) (* x (pow z 2))) (pow y 4))) (taylor 0 t) (#s(alt (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (patch (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow t 2) (- (/ (* (pow t 2) (* x (pow z 4))) (pow y 6)) (* -1 (/ (* x (pow z 2)) (pow y 4))))) (/ x (pow y 2))) (taylor 0 t) (#s(alt (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (patch (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* (pow t 2) (- (* (pow t 2) (- (/ (* (pow t 2) (* x (pow z 6))) (pow y 8)) (* -1 (/ (* x (pow z 4)) (pow y 6))))) (* -1 (/ (* x (pow z 2)) (pow y 4))))) (/ x (pow y 2))) (taylor 0 t) (#s(alt (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (patch (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
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#s(alt (/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) (taylor inf x) (#s(alt (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) (taylor inf x) (#s(alt (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (patch (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) (taylor inf x) (#s(alt (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (patch (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) (taylor inf x) (#s(alt (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (patch (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) (taylor inf x) (#s(alt (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (patch (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) (patch (*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) (patch (*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) (patch (*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) (patch (*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt #s(approx (/ x (- y (* z t))) (/.f64 x y)) (patch #s(approx (/ x (- y (* z t))) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt #s(approx (/ x (- y (* z t))) (/.f64 x y)) (patch #s(approx (/ x (- y (* z t))) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt #s(approx (/ x (- y (* z t))) (/.f64 x y)) (patch #s(approx (/ x (- y (* z t))) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt #s(approx (/ x (- y (* z t))) (/.f64 x y)) (patch #s(approx (/ x (- y (* z t))) (/.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor -inf x) (#s(alt (/.f64 x y) (patch (/.f64 x y) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y (* t z)) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 y (*.f64 t z)) x) (patch (/.f64 (-.f64 y (*.f64 t z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y (* t z)) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 y (*.f64 t z)) x) (patch (/.f64 (-.f64 y (*.f64 t z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y (* t z)) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 y (*.f64 t z)) x) (patch (/.f64 (-.f64 y (*.f64 t z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (- y (* t z)) x) (taylor -inf x) (#s(alt (/.f64 (-.f64 y (*.f64 t z)) x) (patch (/.f64 (-.f64 y (*.f64 t z)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (- (* t z) y))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (- (* t z) y))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (- (* t z) y))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (- (* t z) y))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* t z)))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 (fma.f64 t z y) x)) (patch (neg.f64 (*.f64 (fma.f64 t z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* t z)))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 (fma.f64 t z y) x)) (patch (neg.f64 (*.f64 (fma.f64 t z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* t z)))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 (fma.f64 t z y) x)) (patch (neg.f64 (*.f64 (fma.f64 t z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* t z)))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 (fma.f64 t z y) x)) (patch (neg.f64 (*.f64 (fma.f64 t z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* t z))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 t z y) x) (patch (*.f64 (fma.f64 t z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* t z))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 t z y) x) (patch (*.f64 (fma.f64 t z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* t z))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 t z y) x) (patch (*.f64 (fma.f64 t z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* t z))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 t z y) x) (patch (*.f64 (fma.f64 t z y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) (patch (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (patch (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (patch (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (patch (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (patch (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 23.0ms | y | @ | 0 | ((* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (- y (* t z)) (* t z) (/ x (- y (* z t))) (/ x y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (* (+ (* t z) y) (/ x (- (* y y) (pow (* t z) 2)))) (/ x (- (* y y) (pow (* t z) 2))) (- (* y y) (pow (* t z) 2)) (* (+ (* t z) y) (- (* t z) y)) (- (* t z) y) (pow (* t z) 2)) |
| 9.0ms | x | @ | inf | ((* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (- y (* t z)) (* t z) (/ x (- y (* z t))) (/ x y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (* (+ (* t z) y) (/ x (- (* y y) (pow (* t z) 2)))) (/ x (- (* y y) (pow (* t z) 2))) (- (* y y) (pow (* t z) 2)) (* (+ (* t z) y) (- (* t z) y)) (- (* t z) y) (pow (* t z) 2)) |
| 5.0ms | z | @ | 0 | ((* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (- y (* t z)) (* t z) (/ x (- y (* z t))) (/ x y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (* (+ (* t z) y) (/ x (- (* y y) (pow (* t z) 2)))) (/ x (- (* y y) (pow (* t z) 2))) (- (* y y) (pow (* t z) 2)) (* (+ (* t z) y) (- (* t z) y)) (- (* t z) y) (pow (* t z) 2)) |
| 5.0ms | t | @ | 0 | ((* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (- y (* t z)) (* t z) (/ x (- y (* z t))) (/ x y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (* (+ (* t z) y) (/ x (- (* y y) (pow (* t z) 2)))) (/ x (- (* y y) (pow (* t z) 2))) (- (* y y) (pow (* t z) 2)) (* (+ (* t z) y) (- (* t z) y)) (- (* t z) y) (pow (* t z) 2)) |
| 4.0ms | x | @ | -inf | ((* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (- y (* t z)) (* t z) (/ x (- y (* z t))) (/ x y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (* (+ (* t z) y) (/ x (- (* y y) (pow (* t z) 2)))) (/ x (- (* y y) (pow (* t z) 2))) (- (* y y) (pow (* t z) 2)) (* (+ (* t z) y) (- (* t z) y)) (- (* t z) y) (pow (* t z) 2)) |
| 1× | egg-herbie |
| 9 480× | lower-fma.f64 |
| 9 480× | lower-fma.f32 |
| 6 274× | lower-*.f64 |
| 6 274× | lower-*.f32 |
| 3 114× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 843 | 9897 |
| 1 | 2755 | 9177 |
| 0 | 8449 | 8834 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(/ 1 y) |
(+ (/ 1 y) (/ (* t z) (pow y 2))) |
(+ (* t (- (/ (* t (pow z 2)) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ 1 y)) |
(+ (* t (- (* t (- (/ (* t (pow z 3)) (pow y 4)) (* -1 (/ (pow z 2) (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ 1 y)) |
y |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(/ y x) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* t (+ (/ (* t (* x (pow z 2))) (pow y 3)) (/ (* x z) (pow y 2)))) (/ x y)) |
(+ (* t (+ (* t (+ (/ (* t (* x (pow z 3))) (pow y 4)) (/ (* x (pow z 2)) (pow y 3)))) (/ (* x z) (pow y 2)))) (/ x y)) |
(* -1 (* x y)) |
(- (* -1 (* t (* x z))) (* x y)) |
(- (* -1 (* t (* x z))) (* x y)) |
(- (* -1 (* t (* x z))) (* x y)) |
(* x y) |
(+ (* t (* x z)) (* x y)) |
(+ (* t (* x z)) (* x y)) |
(+ (* t (* x z)) (* x y)) |
y |
(+ y (* t z)) |
(+ y (* t z)) |
(+ y (* t z)) |
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* t (+ (/ (* t (* x (pow z 2))) (pow y 3)) (/ (* x z) (pow y 2)))) (/ x y)) |
(+ (* t (+ (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (/ (* x z) (pow y 2)))) (/ x y)) |
(/ x (pow y 2)) |
(+ (/ x (pow y 2)) (/ (* (pow t 2) (* x (pow z 2))) (pow y 4))) |
(+ (* (pow t 2) (- (/ (* (pow t 2) (* x (pow z 4))) (pow y 6)) (* -1 (/ (* x (pow z 2)) (pow y 4))))) (/ x (pow y 2))) |
(+ (* (pow t 2) (- (* (pow t 2) (- (/ (* (pow t 2) (* x (pow z 6))) (pow y 8)) (* -1 (/ (* x (pow z 4)) (pow y 6))))) (* -1 (/ (* x (pow z 2)) (pow y 4))))) (/ x (pow y 2))) |
(pow y 2) |
(+ (* -1 (* (pow t 2) (pow z 2))) (pow y 2)) |
(+ (* -1 (* (pow t 2) (pow z 2))) (pow y 2)) |
(+ (* -1 (* (pow t 2) (pow z 2))) (pow y 2)) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* t (+ (* -1 (* y z)) (* y z)))) |
(+ (* -1 (pow y 2)) (* t (+ (* -1 (* y z)) (+ (* t (pow z 2)) (* y z))))) |
(+ (* -1 (pow y 2)) (* t (+ (* -1 (* y z)) (+ (* t (pow z 2)) (* y z))))) |
(* -1 y) |
(- (* t z) y) |
(- (* t z) y) |
(- (* t z) y) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (pow z 2)) |
(* -1 (/ x (* t z))) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) (/ (* x y) (* t (pow z 2)))) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 3)) (* (pow t 3) (pow z 4))))) (+ (/ (* x y) (* t (pow z 2))) (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) t) |
(/ -1 (* t z)) |
(/ (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z)) t) |
(/ (- (* -1 (/ (pow y 2) (* (pow t 2) (pow z 3)))) (+ (/ 1 z) (/ y (* t (pow z 2))))) t) |
(/ (- (* -1 (/ (pow y 3) (* (pow t 3) (pow z 4)))) (+ (/ 1 z) (+ (/ y (* t (pow z 2))) (/ (pow y 2) (* (pow t 2) (pow z 3)))))) t) |
(* -1 (* t z)) |
(* t (- (/ y t) z)) |
(* t (- (/ y t) z)) |
(* t (- (/ y t) z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
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y |
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(* t z) |
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(- (* -1 (* t (* x z))) (* x y)) |
(- (* -1 (* t (* x z))) (* x y)) |
(* x y) |
(+ (* t (* x z)) (* x y)) |
(+ (* t (* x z)) (* x y)) |
(+ (* t (* x z)) (* x y)) |
y |
(+ y (* t z)) |
(+ y (* t z)) |
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(pow y 2) |
(+ (* -1 (* (pow t 2) (pow z 2))) (pow y 2)) |
(+ (* -1 (* (pow t 2) (pow z 2))) (pow y 2)) |
(+ (* -1 (* (pow t 2) (pow z 2))) (pow y 2)) |
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(* -1 y) |
(- (* t z) y) |
(- (* t z) y) |
(- (* t z) y) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (pow z 2)) |
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(* t z) |
(* t z) |
(* t z) |
(* t z) |
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(/ (- (+ (* -1 (/ x t)) (* -1 (/ (* x (pow y 2)) (* (pow t 3) (pow z 2))))) (/ (* x y) (* (pow t 2) z))) z) |
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(/ (+ (* -1 (/ x t)) (+ (* -1 (/ (* x y) (* (pow t 2) z))) (* -1 (/ (* x (pow y 2)) (* (pow t 3) (pow z 2)))))) z) |
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(* -1 (* (pow t 2) (pow z 2))) |
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(* (pow z 2) (- (/ (pow y 2) (pow z 2)) (pow t 2))) |
(* (pow t 2) (pow z 2)) |
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(* (pow z 2) (+ (* -1 (/ (* t y) z)) (+ (* -1 (/ (pow y 2) (pow z 2))) (+ (/ (* t y) z) (pow t 2))))) |
(* (pow z 2) (+ (* -1 (/ (* t y) z)) (+ (* -1 (/ (pow y 2) (pow z 2))) (+ (/ (* t y) z) (pow t 2))))) |
(* t z) |
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(* z (+ t (* -1 (/ y z)))) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (pow z 2)) |
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(* (pow t 2) (pow z 2)) |
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(* -1 (/ (+ (/ x t) (/ (* x y) (* (pow t 2) z))) z)) |
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(/ -1 (* t z)) |
(* -1 (/ (+ (/ 1 t) (/ y (* (pow t 2) z))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow y 2) (* (pow t 3) z))) (/ y (pow t 2))) z)) (/ 1 t)) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) (* (pow t 4) z)) (* -1 (/ (pow y 2) (pow t 3)))) z)) (/ y (pow t 2))) z)) (/ 1 t)) z)) |
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(* -1 (* z (- (* -1 (/ y z)) (* -1 t)))) |
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(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -1 (/ x (* t z))) |
(* -1 (/ (+ (/ x t) (/ (* x y) (* (pow t 2) z))) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow y 2)) (* (pow t 3) z))) (/ (* x y) (pow t 2))) z)) (/ x t)) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) (* (pow t 4) z)) (* -1 (/ (* x (pow y 2)) (pow t 3)))) z)) (/ (* x y) (pow t 2))) z)) (/ x t)) z)) |
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(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow y 2)) (* (pow t 3) z))) (/ (* x y) (pow t 2))) z)) (/ x t)) z)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) (* (pow t 4) z)) (* -1 (/ (* x (pow y 2)) (pow t 3)))) z)) (/ (* x y) (pow t 2))) z)) (/ x t)) z)) |
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(* -1 (/ x (* t z))) |
(* -1 (/ (+ (/ x t) (/ (* x y) (* (pow t 2) z))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x y) (pow t 2))) (* -1 (/ (* x (pow y 2)) (* (pow t 3) z)))) z)) (/ x t)) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x y) (pow t 2))) (* -1 (/ (+ (/ (* x (pow y 2)) (pow t 3)) (/ (* x (pow y 3)) (* (pow t 4) z))) z))) z)) (/ x t)) z)) |
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(* t (* x z)) |
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(* -1 (* z (+ (* -1 (* t x)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (* t x)) (* -1 (/ (* x y) z))))) |
(* t z) |
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(* -1 (/ x (* t z))) |
(* -1 (/ (+ (/ x t) (/ (* x y) (* (pow t 2) z))) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x y) (pow t 2))) (* -1 (/ (* x (pow y 2)) (* (pow t 3) z)))) z)) (/ x t)) z)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x y) (pow t 2))) (* -1 (/ (- (/ (* x (pow y 3)) (* (pow t 4) z)) (* -1 (/ (* x (pow y 2)) (pow t 3)))) z))) z)) (/ x t)) z)) |
(* -1 (/ x (* (pow t 2) (pow z 2)))) |
(/ (+ (* -1 (/ x (pow t 2))) (* -1 (/ (* x (pow y 2)) (* (pow t 4) (pow z 2))))) (pow z 2)) |
(/ (- (+ (* -1 (/ x (pow t 2))) (* -1 (/ (* x (pow y 4)) (* (pow t 6) (pow z 4))))) (/ (* x (pow y 2)) (* (pow t 4) (pow z 2)))) (pow z 2)) |
(/ (- (+ (* -1 (/ x (pow t 2))) (* -1 (/ (* x (pow y 6)) (* (pow t 8) (pow z 6))))) (+ (/ (* x (pow y 2)) (* (pow t 4) (pow z 2))) (/ (* x (pow y 4)) (* (pow t 6) (pow z 4))))) (pow z 2)) |
(* -1 (* (pow t 2) (pow z 2))) |
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) (pow t 2))) |
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) (pow t 2))) |
(* (pow z 2) (- (/ (pow y 2) (pow z 2)) (pow t 2))) |
(* (pow t 2) (pow z 2)) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* t y)) (* t y)) z)) (pow t 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* t y)) (+ (* t y) (/ (pow y 2) z))) z)) (pow t 2))) |
(* (pow z 2) (+ (* -1 (/ (+ (* -1 (* t y)) (+ (* t y) (/ (pow y 2) z))) z)) (pow t 2))) |
(* t z) |
(* -1 (* z (+ (* -1 t) (/ y z)))) |
(* -1 (* z (+ (* -1 t) (/ y z)))) |
(* -1 (* z (+ (* -1 t) (/ y z)))) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (pow z 2)) |
(* -1 (/ x (* t z))) |
(+ (* -1 (/ x (* t z))) (* -1 (/ (* x y) (* (pow t 2) (pow z 2))))) |
(+ (* -1 (/ x (* t z))) (* y (- (* -1 (/ (* x y) (* (pow t 3) (pow z 3)))) (/ x (* (pow t 2) (pow z 2)))))) |
(+ (* -1 (/ x (* t z))) (* y (- (* y (- (* -1 (/ (* x y) (* (pow t 4) (pow z 4)))) (/ x (* (pow t 3) (pow z 3))))) (/ x (* (pow t 2) (pow z 2)))))) |
(/ -1 (* t z)) |
(- (* -1 (/ y (* (pow t 2) (pow z 2)))) (/ 1 (* t z))) |
(- (* y (- (* -1 (/ y (* (pow t 3) (pow z 3)))) (/ 1 (* (pow t 2) (pow z 2))))) (/ 1 (* t z))) |
(- (* y (- (* y (- (* -1 (/ y (* (pow t 4) (pow z 4)))) (/ 1 (* (pow t 3) (pow z 3))))) (/ 1 (* (pow t 2) (pow z 2))))) (/ 1 (* t z))) |
(* -1 (* t z)) |
(- y (* t z)) |
(- y (* t z)) |
(- y (* t z)) |
(* -1 (/ x (* t z))) |
(+ (* -1 (/ x (* t z))) (* -1 (/ (* x y) (* (pow t 2) (pow z 2))))) |
(+ (* -1 (/ x (* t z))) (* y (- (* -1 (/ (* x y) (* (pow t 3) (pow z 3)))) (/ x (* (pow t 2) (pow z 2)))))) |
(+ (* -1 (/ x (* t z))) (* y (- (* y (- (* -1 (/ (* x y) (* (pow t 4) (pow z 4)))) (/ x (* (pow t 3) (pow z 3))))) (/ x (* (pow t 2) (pow z 2)))))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 (/ x (* t z))) |
(+ (* -1 (/ x (* t z))) (* -1 (/ (* x y) (* (pow t 2) (pow z 2))))) |
(+ (* -1 (/ x (* t z))) (* y (- (* -1 (/ (* x y) (* (pow t 3) (pow z 3)))) (/ x (* (pow t 2) (pow z 2)))))) |
(+ (* -1 (/ x (* t z))) (* y (- (* y (- (* -1 (/ (* x y) (* (pow t 4) (pow z 4)))) (/ x (* (pow t 3) (pow z 3))))) (/ x (* (pow t 2) (pow z 2)))))) |
(* -1 (/ (* t z) x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(* -1 (/ x (* t z))) |
(+ (* -1 (/ x (* t z))) (* -1 (/ (* x y) (* (pow t 2) (pow z 2))))) |
(+ (* -1 (/ x (* t z))) (* y (+ (* -1 (/ x (* (pow t 2) (pow z 2)))) (* -1 (/ (* x y) (* (pow t 3) (pow z 3))))))) |
(+ (* -1 (/ x (* t z))) (* y (+ (* -1 (/ x (* (pow t 2) (pow z 2)))) (* y (+ (* -1 (/ x (* (pow t 3) (pow z 3)))) (* -1 (/ (* x y) (* (pow t 4) (pow z 4))))))))) |
(* -1 (* t (* x z))) |
(- (* -1 (* x y)) (* t (* x z))) |
(- (* -1 (* x y)) (* t (* x z))) |
(- (* -1 (* x y)) (* t (* x z))) |
(* t (* x z)) |
(+ (* t (* x z)) (* x y)) |
(+ (* t (* x z)) (* x y)) |
(+ (* t (* x z)) (* x y)) |
(* t z) |
(+ y (* t z)) |
(+ y (* t z)) |
(+ y (* t z)) |
(* -1 (/ x (* t z))) |
(+ (* -1 (/ x (* t z))) (* -1 (/ (* x y) (* (pow t 2) (pow z 2))))) |
(+ (* -1 (/ x (* t z))) (* y (+ (* -1 (/ x (* (pow t 2) (pow z 2)))) (* -1 (/ (* x y) (* (pow t 3) (pow z 3))))))) |
(+ (* -1 (/ x (* t z))) (* y (+ (* -1 (/ x (* (pow t 2) (pow z 2)))) (* y (- (* -1 (/ (* x y) (* (pow t 4) (pow z 4)))) (/ x (* (pow t 3) (pow z 3)))))))) |
(* -1 (/ x (* (pow t 2) (pow z 2)))) |
(+ (* -1 (/ x (* (pow t 2) (pow z 2)))) (* -1 (/ (* x (pow y 2)) (* (pow t 4) (pow z 4))))) |
(+ (* -1 (/ x (* (pow t 2) (pow z 2)))) (* (pow y 2) (- (* -1 (/ (* x (pow y 2)) (* (pow t 6) (pow z 6)))) (/ x (* (pow t 4) (pow z 4)))))) |
(+ (* -1 (/ x (* (pow t 2) (pow z 2)))) (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (* x (pow y 2)) (* (pow t 8) (pow z 8)))) (/ x (* (pow t 6) (pow z 6))))) (/ x (* (pow t 4) (pow z 4)))))) |
(* -1 (* (pow t 2) (pow z 2))) |
(- (pow y 2) (* (pow t 2) (pow z 2))) |
(- (pow y 2) (* (pow t 2) (pow z 2))) |
(- (pow y 2) (* (pow t 2) (pow z 2))) |
(* (pow t 2) (pow z 2)) |
(+ (* y (+ (* -1 (* t z)) (* t z))) (* (pow t 2) (pow z 2))) |
(+ (* y (+ (* -1 y) (+ (* -1 (* t z)) (* t z)))) (* (pow t 2) (pow z 2))) |
(+ (* y (+ (* -1 y) (+ (* -1 (* t z)) (* t z)))) (* (pow t 2) (pow z 2))) |
(* t z) |
(+ (* -1 y) (* t z)) |
(+ (* -1 y) (* t z)) |
(+ (* -1 y) (* t z)) |
(/ x y) |
(/ (+ x (/ (* t (* x z)) y)) y) |
(/ (- (+ x (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))) (* -1 (/ (* t (* x z)) y))) y) |
(/ (- (+ x (/ (* (pow t 3) (* x (pow z 3))) (pow y 3))) (+ (* -1 (/ (* t (* x z)) y)) (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))))) y) |
(/ 1 y) |
(/ (+ 1 (/ (* t z) y)) y) |
(/ (- (+ 1 (/ (* (pow t 2) (pow z 2)) (pow y 2))) (* -1 (/ (* t z) y))) y) |
(/ (- (+ 1 (/ (* (pow t 3) (pow z 3)) (pow y 3))) (+ (* -1 (/ (* t z) y)) (* -1 (/ (* (pow t 2) (pow z 2)) (pow y 2))))) y) |
y |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(/ x y) |
(/ (+ x (/ (* t (* x z)) y)) y) |
(/ (- (+ x (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))) (* -1 (/ (* t (* x z)) y))) y) |
(/ (- (+ x (/ (* (pow t 3) (* x (pow z 3))) (pow y 3))) (+ (* -1 (/ (* t (* x z)) y)) (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))))) y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ (+ x (/ (* t (* x z)) y)) y) |
(/ (- (+ x (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))) (* -1 (/ (* t (* x z)) y))) y) |
(/ (- (+ x (/ (* (pow t 3) (* x (pow z 3))) (pow y 3))) (+ (* -1 (/ (* t (* x z)) y)) (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))))) y) |
(/ y x) |
(* y (+ (* -1 (/ (* t z) (* x y))) (/ 1 x))) |
(* y (+ (* -1 (/ (* t z) (* x y))) (/ 1 x))) |
(* y (+ (* -1 (/ (* t z) (* x y))) (/ 1 x))) |
(/ x y) |
(/ (+ x (/ (* t (* x z)) y)) y) |
(/ (+ x (+ (/ (* t (* x z)) y) (/ (* (pow t 2) (* x (pow z 2))) (pow y 2)))) y) |
(/ (+ x (+ (/ (* t (* x z)) y) (+ (/ (* (pow t 2) (* x (pow z 2))) (pow y 2)) (/ (* (pow t 3) (* x (pow z 3))) (pow y 3))))) y) |
(* -1 (* x y)) |
(* y (- (* -1 (/ (* t (* x z)) y)) x)) |
(* y (- (* -1 (/ (* t (* x z)) y)) x)) |
(* y (- (* -1 (/ (* t (* x z)) y)) x)) |
(* x y) |
(* y (+ x (/ (* t (* x z)) y))) |
(* y (+ x (/ (* t (* x z)) y))) |
(* y (+ x (/ (* t (* x z)) y))) |
y |
(* y (+ 1 (/ (* t z) y))) |
(* y (+ 1 (/ (* t z) y))) |
(* y (+ 1 (/ (* t z) y))) |
(/ x y) |
(/ (+ x (/ (* t (* x z)) y)) y) |
(/ (+ x (+ (/ (* t (* x z)) y) (/ (* (pow t 2) (* x (pow z 2))) (pow y 2)))) y) |
(/ (- (+ x (+ (/ (* t (* x z)) y) (/ (* (pow t 3) (* x (pow z 3))) (pow y 3)))) (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2)))) y) |
(/ x (pow y 2)) |
(/ (+ x (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))) (pow y 2)) |
(/ (- (+ x (/ (* (pow t 4) (* x (pow z 4))) (pow y 4))) (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2)))) (pow y 2)) |
(/ (- (+ x (/ (* (pow t 6) (* x (pow z 6))) (pow y 6))) (+ (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))) (* -1 (/ (* (pow t 4) (* x (pow z 4))) (pow y 4))))) (pow y 2)) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1 (/ (* (pow t 2) (pow z 2)) (pow y 2))))) |
(* (pow y 2) (+ 1 (* -1 (/ (* (pow t 2) (pow z 2)) (pow y 2))))) |
(* (pow y 2) (+ 1 (* -1 (/ (* (pow t 2) (pow z 2)) (pow y 2))))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (+ (* -1 (/ (* t z) y)) (/ (* t z) y)) 1)) |
(* (pow y 2) (- (+ (* -1 (/ (* t z) y)) (+ (/ (* t z) y) (/ (* (pow t 2) (pow z 2)) (pow y 2)))) 1)) |
(* (pow y 2) (- (+ (* -1 (/ (* t z) y)) (+ (/ (* t z) y) (/ (* (pow t 2) (pow z 2)) (pow y 2)))) 1)) |
(* -1 y) |
(* y (- (/ (* t z) y) 1)) |
(* y (- (/ (* t z) y) 1)) |
(* y (- (/ (* t z) y) 1)) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* t (* x z)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* t (* x z)) (/ (* (pow t 2) (* x (pow z 2))) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow t 2) (* x (pow z 2)))) (* -1 (/ (* (pow t 3) (* x (pow z 3))) y))) y)) (* t (* x z))) y))) y)) |
(/ 1 y) |
(* -1 (/ (- (* -1 (/ (* t z) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow t 2) (pow z 2)) y) (* -1 (* t z))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow t 3) (pow z 3)) y)) (* (pow t 2) (pow z 2))) y)) (* -1 (* t z))) y)) 1) y)) |
y |
(* -1 (* y (- (/ (* t z) y) 1))) |
(* -1 (* y (- (/ (* t z) y) 1))) |
(* -1 (* y (- (/ (* t z) y) 1))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* t (* x z)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* t (* x z)) (/ (* (pow t 2) (* x (pow z 2))) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow t 2) (* x (pow z 2)))) (* -1 (/ (* (pow t 3) (* x (pow z 3))) y))) y)) (* t (* x z))) y))) y)) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* t (* x z)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* t (* x z)) (/ (* (pow t 2) (* x (pow z 2))) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow t 2) (* x (pow z 2)))) (* -1 (/ (* (pow t 3) (* x (pow z 3))) y))) y)) (* t (* x z))) y))) y)) |
(/ y x) |
(* -1 (* y (- (/ (* t z) (* x y)) (/ 1 x)))) |
(* -1 (* y (- (/ (* t z) (* x y)) (/ 1 x)))) |
(* -1 (* y (- (/ (* t z) (* x y)) (/ 1 x)))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* t (* x z)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* t (* x z)) (/ (* (pow t 2) (* x (pow z 2))) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow t 2) (* x (pow z 2)))) (* -1 (/ (* (pow t 3) (* x (pow z 3))) y))) y)) (* t (* x z))) y))) y)) |
(* -1 (* x y)) |
(* -1 (* y (- (/ (* t (* x z)) y) (* -1 x)))) |
(* -1 (* y (- (/ (* t (* x z)) y) (* -1 x)))) |
(* -1 (* y (- (/ (* t (* x z)) y) (* -1 x)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t (* x z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t (* x z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t (* x z)) y))))) |
y |
(* -1 (* y (- (* -1 (/ (* t z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (* t z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (* t z) y)) 1))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* t (* x z)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* t (* x z)) (/ (* (pow t 2) (* x (pow z 2))) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow t 3) (* x (pow z 3))) y)) (* (pow t 2) (* x (pow z 2)))) y)) (* t (* x z))) y))) y)) |
(/ x (pow y 2)) |
(/ (+ x (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))) (pow y 2)) |
(/ (- (+ x (/ (* (pow t 4) (* x (pow z 4))) (pow y 4))) (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2)))) (pow y 2)) |
(/ (- (+ x (/ (* (pow t 6) (* x (pow z 6))) (pow y 6))) (+ (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))) (* -1 (/ (* (pow t 4) (* x (pow z 4))) (pow y 4))))) (pow y 2)) |
(pow y 2) |
(* (pow y 2) (+ 1 (* -1 (/ (* (pow t 2) (pow z 2)) (pow y 2))))) |
(* (pow y 2) (+ 1 (* -1 (/ (* (pow t 2) (pow z 2)) (pow y 2))))) |
(* (pow y 2) (+ 1 (* -1 (/ (* (pow t 2) (pow z 2)) (pow y 2))))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (* t z)) (* t z)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (* t z)) (+ (* -1 (/ (* (pow t 2) (pow z 2)) y)) (* t z))) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (* t z)) (+ (* -1 (/ (* (pow t 2) (pow z 2)) y)) (* t z))) y)) 1)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (* t z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (* t z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (* t z) y))))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
| Outputs |
|---|
(/ x y) |
(/.f64 x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(fma.f64 (*.f64 t (/.f64 (/.f64 x y) y)) z (/.f64 x y)) |
(+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(fma.f64 (fma.f64 (/.f64 z y) (/.f64 x y) (*.f64 (*.f64 (*.f64 z z) x) (/.f64 t (pow.f64 y #s(literal 3 binary64))))) t (/.f64 x y)) |
(+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 t (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 z z) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) t (*.f64 (/.f64 z y) (/.f64 x y))) t (/.f64 x y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (/ 1 y) (/ (* t z) (pow y 2))) |
(fma.f64 (/.f64 t y) (/.f64 z y) (/.f64 #s(literal 1 binary64) y)) |
(+ (* t (- (/ (* t (pow z 2)) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ 1 y)) |
(fma.f64 (fma.f64 (*.f64 z z) (/.f64 t (pow.f64 y #s(literal 3 binary64))) (/.f64 z (*.f64 y y))) t (/.f64 #s(literal 1 binary64) y)) |
(+ (* t (- (* t (- (/ (* t (pow z 3)) (pow y 4)) (* -1 (/ (pow z 2) (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ 1 y)) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 t (pow.f64 y #s(literal 4 binary64))) (*.f64 z (/.f64 z (pow.f64 y #s(literal 3 binary64))))) t (/.f64 z (*.f64 y y))) t (/.f64 #s(literal 1 binary64) y)) |
y |
(+ y (* -1 (* t z))) |
(fma.f64 (neg.f64 t) z y) |
(+ y (* -1 (* t z))) |
(fma.f64 (neg.f64 t) z y) |
(+ y (* -1 (* t z))) |
(fma.f64 (neg.f64 t) z y) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(/ x y) |
(/.f64 x y) |
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(/.f64 (fma.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) x) (/.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 y #s(literal 4 binary64))) (fma.f64 (/.f64 (*.f64 (*.f64 t x) t) y) (*.f64 z (/.f64 z y)) x)) (*.f64 y y)) |
(/ (- (+ x (/ (* (pow t 6) (* x (pow z 6))) (pow y 6))) (+ (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))) (* -1 (/ (* (pow t 4) (* x (pow z 4))) (pow y 4))))) (pow y 2)) |
(/.f64 (-.f64 (fma.f64 (*.f64 (pow.f64 t #s(literal 6 binary64)) x) (/.f64 (pow.f64 z #s(literal 6 binary64)) (pow.f64 y #s(literal 6 binary64))) x) (neg.f64 (fma.f64 (/.f64 (*.f64 (*.f64 t x) t) y) (*.f64 z (/.f64 z y)) (/.f64 (*.f64 (*.f64 (pow.f64 t #s(literal 4 binary64)) x) (pow.f64 z #s(literal 4 binary64))) (pow.f64 y #s(literal 4 binary64)))))) (*.f64 y y)) |
(pow y 2) |
(*.f64 y y) |
(* (pow y 2) (+ 1 (* -1 (/ (* (pow t 2) (pow z 2)) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 t) t) y) (*.f64 z (/.f64 z y)) #s(literal 1 binary64)) (*.f64 y y)) |
(* (pow y 2) (+ 1 (* -1 (/ (* (pow t 2) (pow z 2)) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 t) t) y) (*.f64 z (/.f64 z y)) #s(literal 1 binary64)) (*.f64 y y)) |
(* (pow y 2) (+ 1 (* -1 (/ (* (pow t 2) (pow z 2)) (pow y 2))))) |
(*.f64 (fma.f64 (/.f64 (*.f64 (neg.f64 t) t) y) (*.f64 z (/.f64 z y)) #s(literal 1 binary64)) (*.f64 y y)) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (* t z)) (* t z)) y)) 1)) |
(*.f64 (neg.f64 y) y) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (* t z)) (+ (* -1 (/ (* (pow t 2) (pow z 2)) y)) (* t z))) y)) 1)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 t) t) (*.f64 z (/.f64 z y)) #s(literal 0 binary64)) y) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 y y)) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (* t z)) (+ (* -1 (/ (* (pow t 2) (pow z 2)) y)) (* t z))) y)) 1)) |
(*.f64 (fma.f64 (/.f64 (fma.f64 (*.f64 (neg.f64 t) t) (*.f64 z (/.f64 z y)) #s(literal 0 binary64)) y) #s(literal -1 binary64) #s(literal -1 binary64)) (*.f64 y y)) |
(* -1 y) |
(neg.f64 y) |
(* -1 (* y (+ 1 (* -1 (/ (* t z) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z t) y)) (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1 (/ (* t z) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z t) y)) (neg.f64 y)) |
(* -1 (* y (+ 1 (* -1 (/ (* t z) y))))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z t) y)) (neg.f64 y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(* -1 (/ x (- (* t z) y))) |
(/.f64 (neg.f64 x) (fma.f64 z t (neg.f64 y))) |
(* -1 (/ x (- (* t z) y))) |
(/.f64 (neg.f64 x) (fma.f64 z t (neg.f64 y))) |
(* -1 (/ x (- (* t z) y))) |
(/.f64 (neg.f64 x) (fma.f64 z t (neg.f64 y))) |
(* -1 (/ x (- (* t z) y))) |
(/.f64 (neg.f64 x) (fma.f64 z t (neg.f64 y))) |
(* -1 (* x (+ y (* t z)))) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(* -1 (* x (+ y (* t z)))) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(* -1 (* x (+ y (* t z)))) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(* -1 (* x (+ y (* t z)))) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(* x (+ y (* t z))) |
(*.f64 (fma.f64 z t y) x) |
(* x (+ y (* t z))) |
(*.f64 (fma.f64 z t y) x) |
(* x (+ y (* t z))) |
(*.f64 (fma.f64 z t y) x) |
(* x (+ y (* t z))) |
(*.f64 (fma.f64 z t y) x) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/.f64 (*.f64 (fma.f64 z t y) x) (fma.f64 (*.f64 (*.f64 (neg.f64 t) t) z) z (*.f64 y y))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/.f64 (*.f64 (fma.f64 z t y) x) (fma.f64 (*.f64 (*.f64 (neg.f64 t) t) z) z (*.f64 y y))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/.f64 (*.f64 (fma.f64 z t y) x) (fma.f64 (*.f64 (*.f64 (neg.f64 t) t) z) z (*.f64 y y))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/.f64 (*.f64 (fma.f64 z t y) x) (fma.f64 (*.f64 (*.f64 (neg.f64 t) t) z) z (*.f64 y y))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/.f64 x (fma.f64 (*.f64 (*.f64 (neg.f64 t) t) z) z (*.f64 y y))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/.f64 x (fma.f64 (*.f64 (*.f64 (neg.f64 t) t) z) z (*.f64 y y))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/.f64 x (fma.f64 (*.f64 (*.f64 (neg.f64 t) t) z) z (*.f64 y y))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/.f64 x (fma.f64 (*.f64 (*.f64 (neg.f64 t) t) z) z (*.f64 y y))) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(* -1 (/ x (- (* t z) y))) |
(/.f64 (neg.f64 x) (fma.f64 z t (neg.f64 y))) |
(* -1 (/ x (- (* t z) y))) |
(/.f64 (neg.f64 x) (fma.f64 z t (neg.f64 y))) |
(* -1 (/ x (- (* t z) y))) |
(/.f64 (neg.f64 x) (fma.f64 z t (neg.f64 y))) |
(* -1 (/ x (- (* t z) y))) |
(/.f64 (neg.f64 x) (fma.f64 z t (neg.f64 y))) |
(* -1 (* x (+ y (* t z)))) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(* -1 (* x (+ y (* t z)))) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(* -1 (* x (+ y (* t z)))) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(* -1 (* x (+ y (* t z)))) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(* x (+ y (* t z))) |
(*.f64 (fma.f64 z t y) x) |
(* x (+ y (* t z))) |
(*.f64 (fma.f64 z t y) x) |
(* x (+ y (* t z))) |
(*.f64 (fma.f64 z t y) x) |
(* x (+ y (* t z))) |
(*.f64 (fma.f64 z t y) x) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/.f64 (*.f64 (fma.f64 z t y) x) (fma.f64 (*.f64 (*.f64 (neg.f64 t) t) z) z (*.f64 y y))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/.f64 (*.f64 (fma.f64 z t y) x) (fma.f64 (*.f64 (*.f64 (neg.f64 t) t) z) z (*.f64 y y))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/.f64 (*.f64 (fma.f64 z t y) x) (fma.f64 (*.f64 (*.f64 (neg.f64 t) t) z) z (*.f64 y y))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/.f64 (*.f64 (fma.f64 z t y) x) (fma.f64 (*.f64 (*.f64 (neg.f64 t) t) z) z (*.f64 y y))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/.f64 x (fma.f64 (*.f64 (*.f64 (neg.f64 t) t) z) z (*.f64 y y))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/.f64 x (fma.f64 (*.f64 (*.f64 (neg.f64 t) t) z) z (*.f64 y y))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/.f64 x (fma.f64 (*.f64 (*.f64 (neg.f64 t) t) z) z (*.f64 y y))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/.f64 x (fma.f64 (*.f64 (*.f64 (neg.f64 t) t) z) z (*.f64 y y))) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(* -1 (/ x (- (* t z) y))) |
(/.f64 (neg.f64 x) (fma.f64 z t (neg.f64 y))) |
(* -1 (/ x (- (* t z) y))) |
(/.f64 (neg.f64 x) (fma.f64 z t (neg.f64 y))) |
(* -1 (/ x (- (* t z) y))) |
(/.f64 (neg.f64 x) (fma.f64 z t (neg.f64 y))) |
(* -1 (/ x (- (* t z) y))) |
(/.f64 (neg.f64 x) (fma.f64 z t (neg.f64 y))) |
(* -1 (* x (+ y (* t z)))) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(* -1 (* x (+ y (* t z)))) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(* -1 (* x (+ y (* t z)))) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(* -1 (* x (+ y (* t z)))) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(* x (+ y (* t z))) |
(*.f64 (fma.f64 z t y) x) |
(* x (+ y (* t z))) |
(*.f64 (fma.f64 z t y) x) |
(* x (+ y (* t z))) |
(*.f64 (fma.f64 z t y) x) |
(* x (+ y (* t z))) |
(*.f64 (fma.f64 z t y) x) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/.f64 (*.f64 (fma.f64 z t y) x) (fma.f64 (*.f64 (*.f64 (neg.f64 t) t) z) z (*.f64 y y))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/.f64 (*.f64 (fma.f64 z t y) x) (fma.f64 (*.f64 (*.f64 (neg.f64 t) t) z) z (*.f64 y y))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/.f64 (*.f64 (fma.f64 z t y) x) (fma.f64 (*.f64 (*.f64 (neg.f64 t) t) z) z (*.f64 y y))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/.f64 (*.f64 (fma.f64 z t y) x) (fma.f64 (*.f64 (*.f64 (neg.f64 t) t) z) z (*.f64 y y))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/.f64 x (fma.f64 (*.f64 (*.f64 (neg.f64 t) t) z) z (*.f64 y y))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/.f64 x (fma.f64 (*.f64 (*.f64 (neg.f64 t) t) z) z (*.f64 y y))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/.f64 x (fma.f64 (*.f64 (*.f64 (neg.f64 t) t) z) z (*.f64 y y))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/.f64 x (fma.f64 (*.f64 (*.f64 (neg.f64 t) t) z) z (*.f64 y y))) |
| 5 954× | lower-fma.f32 |
| 5 952× | lower-fma.f64 |
| 4 450× | lower-*.f32 |
| 4 438× | lower-*.f64 |
| 4 024× | lower-/.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 29 | 145 |
| 0 | 47 | 121 |
| 1 | 187 | 120 |
| 2 | 1226 | 120 |
| 0 | 9179 | 120 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) |
(pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) |
(-.f64 y (*.f64 t z)) |
(*.f64 t z) |
#s(approx (/ x (- y (* z t))) (/.f64 x y)) |
(/.f64 x y) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) |
(/.f64 (-.f64 y (*.f64 t z)) x) |
(/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) |
(neg.f64 (*.f64 (fma.f64 t z y) x)) |
(*.f64 (fma.f64 t z y) x) |
(fma.f64 t z y) |
(*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) |
(/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) |
(-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) |
(*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y)) |
(-.f64 (*.f64 t z) y) |
(pow.f64 (*.f64 t z) #s(literal 2 binary64)) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) #s(literal 1 binary64)) (fma.f64 z t y)) |
(*.f64 (/.f64 (*.f64 (neg.f64 x) (fma.f64 z t y)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 y (*.f64 z t)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) x) #s(literal 1 binary64)) (/.f64 (fma.f64 y (-.f64 y (*.f64 z t)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (-.f64 (*.f64 z t) y))) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 y (*.f64 z t)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) x) (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))))) (/.f64 (fma.f64 y (-.f64 y (*.f64 z t)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (fma.f64 y (-.f64 y (*.f64 z t)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 y (*.f64 z t)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) x) (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) |
(*.f64 (/.f64 (*.f64 (/.f64 #s(literal -1 binary64) (fma.f64 y (-.f64 y (*.f64 z t)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) x) (-.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (fma.f64 y (-.f64 y (*.f64 z t)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (pow.f64 (fma.f64 y (fma.f64 z t y) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
(*.f64 (/.f64 (/.f64 x (-.f64 y (*.f64 z t))) (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))))) (/.f64 (-.f64 (*.f64 z t) y) (fma.f64 y (-.f64 y (*.f64 z t)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))))) |
(*.f64 (/.f64 (/.f64 x (-.f64 y (*.f64 z t))) (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) |
(*.f64 (/.f64 (/.f64 x (-.f64 y (*.f64 z t))) (-.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (/.f64 (-.f64 (*.f64 z t) y) (pow.f64 (fma.f64 y (fma.f64 z t y) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64)))) |
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(fma.f64 t z (neg.f64 y)) |
(-.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (neg.f64 (fma.f64 y (fma.f64 z t y) (pow.f64 (*.f64 z t) #s(literal 2 binary64))))) (/.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (neg.f64 (fma.f64 y (fma.f64 z t y) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 4 binary64)) (fma.f64 y y (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) (neg.f64 (fma.f64 z t y))) (/.f64 (/.f64 (pow.f64 (*.f64 z t) #s(literal 4 binary64)) (fma.f64 y y (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) (neg.f64 (fma.f64 z t y)))) |
(-.f64 (/.f64 (/.f64 (pow.f64 y #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (fma.f64 y y (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 z t y))) (/.f64 (/.f64 (pow.f64 (*.f64 z t) #s(literal 6 binary64)) (fma.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (fma.f64 y y (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (pow.f64 y #s(literal 4 binary64)))) (neg.f64 (fma.f64 z t y)))) |
(-.f64 (/.f64 (*.f64 y y) (neg.f64 (fma.f64 z t y))) (/.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (neg.f64 (fma.f64 z t y)))) |
(-.f64 (/.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (fma.f64 y (fma.f64 z t y) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 z t y) (pow.f64 (*.f64 z t) #s(literal 2 binary64))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (fma.f64 z t y)) (*.f64 y (/.f64 y (fma.f64 z t y)))) |
(-.f64 (neg.f64 y) (*.f64 (neg.f64 t) z)) |
(-.f64 #s(literal 0 binary64) (-.f64 y (*.f64 z t))) |
(-.f64 (*.f64 z t) y) |
(+.f64 (*.f64 #s(literal 1 binary64) (neg.f64 y)) (*.f64 z t)) |
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (*.f64 y (-.f64 y (*.f64 z t)))) (*.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) |
(+.f64 (*.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (*.f64 (/.f64 (fma.f64 (neg.f64 y) y (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (*.f64 y (-.f64 y (*.f64 z t))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (fma.f64 y (fma.f64 z t y) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) (neg.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (fma.f64 y (fma.f64 z t y) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))))) |
(+.f64 (/.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (fma.f64 z t y)) (neg.f64 (*.f64 y (/.f64 y (fma.f64 z t y))))) |
(+.f64 (neg.f64 y) (*.f64 z t)) |
(+.f64 #s(literal 0 binary64) (-.f64 (*.f64 z t) y)) |
(+.f64 (*.f64 z t) (*.f64 #s(literal 1 binary64) (neg.f64 y))) |
(+.f64 (*.f64 z t) (neg.f64 y)) |
(*.f64 (neg.f64 (*.f64 (neg.f64 t) t)) (*.f64 z z)) |
(*.f64 (*.f64 (neg.f64 t) (neg.f64 t)) (*.f64 z z)) |
(*.f64 (*.f64 (neg.f64 z) (neg.f64 z)) (*.f64 t t)) |
(*.f64 (pow.f64 (*.f64 (*.f64 z t) z) #s(literal 1 binary64)) t) |
(*.f64 (pow.f64 (*.f64 (*.f64 z t) t) #s(literal 1 binary64)) z) |
(*.f64 (*.f64 (*.f64 z t) z) t) |
(*.f64 (*.f64 (*.f64 z t) t) z) |
(*.f64 (*.f64 (neg.f64 t) t) (*.f64 (neg.f64 z) z)) |
(*.f64 (*.f64 (neg.f64 t) z) (*.f64 (neg.f64 t) z)) |
(*.f64 (*.f64 z z) (*.f64 (neg.f64 t) (neg.f64 t))) |
(*.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (*.f64 t t) (neg.f64 (*.f64 (neg.f64 z) z))) |
(*.f64 (*.f64 t t) (*.f64 (neg.f64 z) (neg.f64 z))) |
(*.f64 (*.f64 t t) (*.f64 z z)) |
(*.f64 #s(literal 1 binary64) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) |
(*.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) |
(*.f64 (*.f64 z t) (*.f64 z t)) |
(*.f64 z (pow.f64 (*.f64 t (*.f64 z t)) #s(literal 1 binary64))) |
(*.f64 z (*.f64 t (*.f64 z t))) |
(*.f64 t (pow.f64 (*.f64 z (*.f64 z t)) #s(literal 1 binary64))) |
(*.f64 t (*.f64 z (*.f64 z t))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 z t))) |
(pow.f64 (*.f64 (neg.f64 t) z) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 z t) #s(literal 2 binary64)) |
(neg.f64 (neg.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) |
(-.f64 #s(literal 0 binary64) (neg.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (*.f64 (log.f64 t) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 t) #s(literal 2 binary64) (*.f64 (log.f64 z) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) |
Compiled 94 172 to 6 265 computations (93.3% saved)
10 alts after pruning (8 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 363 | 6 | 3 369 |
| Fresh | 3 | 2 | 5 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 3 370 | 10 | 3 380 |
| Status | Accuracy | Program |
|---|---|---|
| 25.9% | (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) #s(approx (* (+ (* t z) y) (- (* t z) y)) (*.f64 (*.f64 (*.f64 z t) z) t))) | |
| ✓ | 95.6% | (/.f64 x (-.f64 y (*.f64 z t))) |
| ▶ | 85.0% | (/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y))) |
| 46.5% | (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) | |
| 48.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x)))) | |
| ▶ | 27.0% | (*.f64 (fma.f64 t z y) #s(approx (/ x (- (* y y) (pow (* t z) 2))) (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)))) |
| ▶ | 58.0% | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) |
| ▶ | 46.5% | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) |
| ▶ | 44.0% | #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t))) |
| ✓ | 58.1% | #s(approx (/ x (- y (* z t))) (/.f64 x y)) |
Compiled 191 to 177 computations (7.3% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 y (*.f64 (*.f64 z t) z)) | |
| cost-diff | 0 | #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t))) | |
| cost-diff | 128 | (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t)) | |
| cost-diff | 192 | (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) | |
| cost-diff | 0 | (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)) | |
| cost-diff | 0 | #s(approx (/ x (- (* y y) (pow (* t z) 2))) (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t))) | |
| cost-diff | 0 | (fma.f64 t z y) | |
| cost-diff | 0 | (*.f64 (fma.f64 t z y) #s(approx (/ x (- (* y y) (pow (* t z) 2))) (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)))) | |
| cost-diff | 0 | (*.f64 z t) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (*.f64 z t)) | |
| cost-diff | 0 | #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) | |
| cost-diff | 0 | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) y) | |
| cost-diff | 0 | #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) | |
| cost-diff | 0 | (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) | |
| cost-diff | 0 | #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y)) | |
| cost-diff | 0 | (/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y))) | |
| cost-diff | 1024 | (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y) |
| 6 598× | lower-fma.f32 |
| 6 592× | lower-fma.f64 |
| 4 114× | lower-*.f32 |
| 4 100× | lower-*.f64 |
| 2 828× | lower-/.f32 |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 297 |
| 0 | 70 | 289 |
| 1 | 138 | 289 |
| 2 | 340 | 279 |
| 3 | 1001 | 275 |
| 4 | 2901 | 261 |
| 5 | 5365 | 261 |
| 0 | 8277 | 261 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y))) |
x |
#s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y)) |
(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y) |
(fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) |
(/.f64 z y) |
z |
y |
(neg.f64 t) |
t |
#s(literal 1 binary64) |
(*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) |
#s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) |
(/.f64 #s(literal -1 binary64) (*.f64 z t)) |
#s(literal -1 binary64) |
(*.f64 z t) |
z |
t |
x |
(*.f64 (fma.f64 t z y) #s(approx (/ x (- (* y y) (pow (* t z) 2))) (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)))) |
(fma.f64 t z y) |
t |
z |
y |
#s(approx (/ x (- (* y y) (pow (* t z) 2))) (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t))) |
(/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)) |
(neg.f64 x) |
x |
(*.f64 (*.f64 (*.f64 z t) z) t) |
(*.f64 (*.f64 z t) z) |
(*.f64 z t) |
#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t))) |
(/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t)) |
(fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) |
x |
(/.f64 y (*.f64 (*.f64 z t) z)) |
y |
(*.f64 (*.f64 z t) z) |
(*.f64 z t) |
z |
t |
(/.f64 x z) |
(neg.f64 t) |
| Outputs |
|---|
(/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y))) |
(/.f64 x #s(approx (- y (* z t)) (fma.f64 (neg.f64 t) z y))) |
x |
#s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y)) |
#s(approx (- y (* z t)) (fma.f64 (neg.f64 t) z y)) |
(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y) |
(fma.f64 (neg.f64 t) z y) |
(fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) |
(/.f64 z y) |
z |
y |
(neg.f64 t) |
t |
#s(literal 1 binary64) |
(*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) |
(*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 t z))) x) |
#s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) |
#s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 t z))) |
(/.f64 #s(literal -1 binary64) (*.f64 z t)) |
(/.f64 #s(literal -1 binary64) (*.f64 t z)) |
#s(literal -1 binary64) |
(*.f64 z t) |
(*.f64 t z) |
z |
t |
x |
(*.f64 (fma.f64 t z y) #s(approx (/ x (- (* y y) (pow (* t z) 2))) (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)))) |
(*.f64 #s(approx (/ x (- (* y y) (pow (* t z) 2))) (/.f64 (neg.f64 x) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (fma.f64 t z y)) |
(fma.f64 t z y) |
t |
z |
y |
#s(approx (/ x (- (* y y) (pow (* t z) 2))) (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t))) |
#s(approx (/ x (- (* y y) (pow (* t z) 2))) (/.f64 (neg.f64 x) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)) |
(/.f64 (neg.f64 x) (pow.f64 (*.f64 t z) #s(literal 2 binary64))) |
(neg.f64 x) |
x |
(*.f64 (*.f64 (*.f64 z t) z) t) |
(pow.f64 (*.f64 t z) #s(literal 2 binary64)) |
(*.f64 (*.f64 z t) z) |
(*.f64 (*.f64 t z) z) |
(*.f64 z t) |
(*.f64 t z) |
#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t))) |
#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (*.f64 t z))) (/.f64 x z)) t)) |
(/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t)) |
(/.f64 (*.f64 (-.f64 #s(literal -1 binary64) (/.f64 y (*.f64 t z))) (/.f64 x z)) t) |
(fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) |
(*.f64 (+.f64 (/.f64 y (*.f64 t z)) #s(literal 1 binary64)) (/.f64 x z)) |
x |
(/.f64 y (*.f64 (*.f64 z t) z)) |
(/.f64 y (*.f64 (*.f64 t z) z)) |
y |
(*.f64 (*.f64 z t) z) |
(*.f64 (*.f64 t z) z) |
(*.f64 z t) |
(*.f64 t z) |
z |
t |
(/.f64 x z) |
(neg.f64 t) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 4.709815569327497 | (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t)) | |
| accuracy | 5.1275298487300205 | (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) | |
| accuracy | 5.470919833796383 | (/.f64 y (*.f64 (*.f64 z t) z)) | |
| accuracy | 33.66690921860468 | #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t))) | |
| accuracy | 2.898688095360824 | (*.f64 (*.f64 (*.f64 z t) z) t) | |
| accuracy | 4.7364539217128 | (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)) | |
| accuracy | 17.717386916150563 | (*.f64 (fma.f64 t z y) #s(approx (/ x (- (* y y) (pow (* t z) 2))) (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)))) | |
| accuracy | 31.975084605722568 | #s(approx (/ x (- (* y y) (pow (* t z) 2))) (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t))) | |
| accuracy | 0 | (*.f64 z t) | |
| accuracy | 0.45918800794555736 | (/.f64 #s(literal -1 binary64) (*.f64 z t)) | |
| accuracy | 2.732074918901722 | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) | |
| accuracy | 33.79288201330857 | #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 2.732074918901722 | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) | |
| accuracy | 28.66701639515645 | #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0 | #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y)) | |
| accuracy | 2.827987455169374 | (/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y))) | |
| accuracy | 4.049188345352646 | (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y) | |
| accuracy | 4.48729628339319 | (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) |
| 105.0ms | 256× | 0 | valid |
Compiled 229 to 42 computations (81.7% saved)
ival-div: 46.0ms (55.5% of total)ival-mult: 20.0ms (24.1% of total)ival-sub: 4.0ms (4.8% of total)ival-pow: 4.0ms (4.8% of total)ival-add: 3.0ms (3.6% of total)ival-neg: 3.0ms (3.6% of total)ival-pow2: 2.0ms (2.4% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y) (patch (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y))) (patch (/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y)) (patch #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) y) (patch (/.f64 #s(literal 1 binary64) y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) (patch (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) (patch #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) (*.f64 z t)) (patch (/.f64 #s(literal -1 binary64) (*.f64 z t)) #<representation binary64>) () ()) |
#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 t z y) #s(approx (/ x (- (* y y) (pow (* t z) 2))) (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)))) (patch (*.f64 (fma.f64 t z y) #s(approx (/ x (- (* y y) (pow (* t z) 2))) (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 t z y) (patch (fma.f64 t z y) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (- (* y y) (pow (* t z) 2))) (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t))) (patch #s(approx (/ x (- (* y y) (pow (* t z) 2))) (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t))) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)) (patch (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)) #<representation binary64>) () ()) |
#s(alt (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (patch (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t)) (patch (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t))) (patch #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (*.f64 (*.f64 z t) z)) (patch (/.f64 y (*.f64 (*.f64 z t) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (*.f64 (*.f64 z t) z) t) (patch (*.f64 (*.f64 (*.f64 z t) z) t) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt y (taylor 0 t) (#s(alt #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y)) (patch #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
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#s(alt (+ y (* -1 (* t z))) (taylor 0 t) (#s(alt #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y)) (patch #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 t) (#s(alt #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y)) (patch #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 t) (#s(alt (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (+ 1 (* -1 (/ (* t z) y))) (taylor 0 t) (#s(alt (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* -1 (/ (* t z) y))) (taylor 0 t) (#s(alt (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) (patch (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 t) (#s(alt (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
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#s(alt (/ 1 y) (taylor 0 t) (#s(alt #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* t (- (* t (- (/ (* t (pow z 3)) (pow y 4)) (* -1 (/ (pow z 2) (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ 1 y)) (taylor 0 t) (#s(alt #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 t) (#s(alt (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) (patch (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x y) (/ (* t (* x z)) (pow y 2))) (taylor 0 t) (#s(alt (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) (patch (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) (taylor 0 t) (#s(alt (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) (patch (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) (taylor 0 t) (#s(alt (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) (patch (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 t) (#s(alt #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) (patch #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 y) (/ (* t z) (pow y 2))) (taylor 0 t) (#s(alt #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) (patch #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* t (- (* t (- (/ (* t (pow z 3)) (pow y 4)) (* -1 (/ (pow z 2) (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ 1 y)) (taylor 0 t) (#s(alt #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) (patch #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* t z)) (taylor 0 t) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 z t)) (patch (/.f64 #s(literal -1 binary64) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* t z)) (taylor 0 t) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 z t)) (patch (/.f64 #s(literal -1 binary64) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* t z)) (taylor 0 t) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 z t)) (patch (/.f64 #s(literal -1 binary64) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* t z)) (taylor 0 t) (#s(alt (/.f64 #s(literal -1 binary64) (*.f64 z t)) (patch (/.f64 #s(literal -1 binary64) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 t) (#s(alt (*.f64 (fma.f64 t z y) #s(approx (/ x (- (* y y) (pow (* t z) 2))) (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)))) (patch (*.f64 (fma.f64 t z y) #s(approx (/ x (- (* y y) (pow (* t z) 2))) (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)))) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* t (+ (/ (* t (* x (pow z 2))) (pow y 3)) (/ (* x z) (pow y 2)))) (/ x y)) (taylor 0 t) (#s(alt (*.f64 (fma.f64 t z y) #s(approx (/ x (- (* y y) (pow (* t z) 2))) (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)))) (patch (*.f64 (fma.f64 t z y) #s(approx (/ x (- (* y y) (pow (* t z) 2))) (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)))) #<representation binary64>) () ())) ()) |
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#s(alt y (taylor 0 t) (#s(alt (fma.f64 t z y) (patch (fma.f64 t z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* t z)) (taylor 0 t) (#s(alt (fma.f64 t z y) (patch (fma.f64 t z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* t z)) (taylor 0 t) (#s(alt (fma.f64 t z y) (patch (fma.f64 t z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* t z)) (taylor 0 t) (#s(alt (fma.f64 t z y) (patch (fma.f64 t z y) #<representation binary64>) () ())) ()) |
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#s(alt (/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) (taylor -inf x) (#s(alt #s(approx (/ x (- (* y y) (pow (* t z) 2))) (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t))) (patch #s(approx (/ x (- (* y y) (pow (* t z) 2))) (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* (pow t 2) (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)) (patch (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* (pow t 2) (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)) (patch (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* (pow t 2) (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)) (patch (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (* (pow t 2) (pow z 2)))) (taylor -inf x) (#s(alt (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)) (patch (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z)))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (patch (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z)))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (patch (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z)))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (patch (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z)))) (taylor -inf x) (#s(alt (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (patch (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z))) t) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t)) (patch (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z))) t) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t)) (patch (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z))) t) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t)) (patch (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z))) t) (taylor -inf x) (#s(alt (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t)) (patch (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (- (* t z) y))) (taylor -inf x) (#s(alt #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t))) (patch #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (- (* t z) y))) (taylor -inf x) (#s(alt #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t))) (patch #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (- (* t z) y))) (taylor -inf x) (#s(alt #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t))) (patch #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ x (- (* t z) y))) (taylor -inf x) (#s(alt #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t))) (patch #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 31.0ms | y | @ | inf | ((* (+ (* (/ z y) (neg t)) 1) y) (/ x (- y (* z t))) (- y (* z t)) (+ (* (/ z y) (neg t)) 1) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ 1 y) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ -1 (* z t)) (* z t) (* (+ (* t z) y) (/ x (- (* y y) (pow (* t z) 2)))) (+ (* t z) y) (/ x (- (* y y) (pow (* t z) 2))) (/ (neg x) (* (* (* z t) z) t)) (+ (* x (/ y (* (* z t) z))) (/ x z)) (/ (+ (* x (/ y (* (* z t) z))) (/ x z)) (neg t)) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/ y (* (* z t) z)) (* (* (* z t) z) t)) |
| 26.0ms | t | @ | inf | ((* (+ (* (/ z y) (neg t)) 1) y) (/ x (- y (* z t))) (- y (* z t)) (+ (* (/ z y) (neg t)) 1) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ 1 y) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ -1 (* z t)) (* z t) (* (+ (* t z) y) (/ x (- (* y y) (pow (* t z) 2)))) (+ (* t z) y) (/ x (- (* y y) (pow (* t z) 2))) (/ (neg x) (* (* (* z t) z) t)) (+ (* x (/ y (* (* z t) z))) (/ x z)) (/ (+ (* x (/ y (* (* z t) z))) (/ x z)) (neg t)) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/ y (* (* z t) z)) (* (* (* z t) z) t)) |
| 10.0ms | x | @ | -inf | ((* (+ (* (/ z y) (neg t)) 1) y) (/ x (- y (* z t))) (- y (* z t)) (+ (* (/ z y) (neg t)) 1) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ 1 y) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ -1 (* z t)) (* z t) (* (+ (* t z) y) (/ x (- (* y y) (pow (* t z) 2)))) (+ (* t z) y) (/ x (- (* y y) (pow (* t z) 2))) (/ (neg x) (* (* (* z t) z) t)) (+ (* x (/ y (* (* z t) z))) (/ x z)) (/ (+ (* x (/ y (* (* z t) z))) (/ x z)) (neg t)) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/ y (* (* z t) z)) (* (* (* z t) z) t)) |
| 5.0ms | z | @ | inf | ((* (+ (* (/ z y) (neg t)) 1) y) (/ x (- y (* z t))) (- y (* z t)) (+ (* (/ z y) (neg t)) 1) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ 1 y) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ -1 (* z t)) (* z t) (* (+ (* t z) y) (/ x (- (* y y) (pow (* t z) 2)))) (+ (* t z) y) (/ x (- (* y y) (pow (* t z) 2))) (/ (neg x) (* (* (* z t) z) t)) (+ (* x (/ y (* (* z t) z))) (/ x z)) (/ (+ (* x (/ y (* (* z t) z))) (/ x z)) (neg t)) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/ y (* (* z t) z)) (* (* (* z t) z) t)) |
| 4.0ms | x | @ | inf | ((* (+ (* (/ z y) (neg t)) 1) y) (/ x (- y (* z t))) (- y (* z t)) (+ (* (/ z y) (neg t)) 1) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ 1 y) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ -1 (* z t)) (* z t) (* (+ (* t z) y) (/ x (- (* y y) (pow (* t z) 2)))) (+ (* t z) y) (/ x (- (* y y) (pow (* t z) 2))) (/ (neg x) (* (* (* z t) z) t)) (+ (* x (/ y (* (* z t) z))) (/ x z)) (/ (+ (* x (/ y (* (* z t) z))) (/ x z)) (neg t)) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/ y (* (* z t) z)) (* (* (* z t) z) t)) |
| 1× | egg-herbie |
| 7 444× | lower-fma.f64 |
| 7 444× | lower-fma.f32 |
| 5 400× | lower-*.f64 |
| 5 400× | lower-*.f32 |
| 3 336× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 735 | 10450 |
| 1 | 2364 | 10058 |
| 2 | 7354 | 9898 |
| 0 | 8125 | 9538 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
y |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
y |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
1 |
(+ 1 (* -1 (/ (* t z) y))) |
(+ 1 (* -1 (/ (* t z) y))) |
(+ 1 (* -1 (/ (* t z) y))) |
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(/ 1 y) |
(+ (/ 1 y) (/ (* t z) (pow y 2))) |
(+ (* t (- (/ (* t (pow z 2)) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ 1 y)) |
(+ (* t (- (* t (- (/ (* t (pow z 3)) (pow y 4)) (* -1 (/ (pow z 2) (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ 1 y)) |
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(/ 1 y) |
(+ (/ 1 y) (/ (* t z) (pow y 2))) |
(+ (* t (- (/ (* t (pow z 2)) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ 1 y)) |
(+ (* t (- (* t (- (/ (* t (pow z 3)) (pow y 4)) (* -1 (/ (pow z 2) (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ 1 y)) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* t (+ (/ (* t (* x (pow z 2))) (pow y 3)) (/ (* x z) (pow y 2)))) (/ x y)) |
(+ (* t (+ (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (/ (* x z) (pow y 2)))) (/ x y)) |
y |
(+ y (* t z)) |
(+ y (* t z)) |
(+ y (* t z)) |
(/ x (pow y 2)) |
(+ (/ x (pow y 2)) (/ (* (pow t 2) (* x (pow z 2))) (pow y 4))) |
(+ (* (pow t 2) (- (/ (* (pow t 2) (* x (pow z 4))) (pow y 6)) (* -1 (/ (* x (pow z 2)) (pow y 4))))) (/ x (pow y 2))) |
(+ (* (pow t 2) (- (* (pow t 2) (- (/ (* (pow t 2) (* x (pow z 6))) (pow y 8)) (* -1 (/ (* x (pow z 4)) (pow y 6))))) (* -1 (/ (* x (pow z 2)) (pow y 4))))) (/ x (pow y 2))) |
(* -1 (/ x (* (pow t 2) (pow z 2)))) |
(* -1 (/ x (* (pow t 2) (pow z 2)))) |
(* -1 (/ x (* (pow t 2) (pow z 2)))) |
(* -1 (/ x (* (pow t 2) (pow z 2)))) |
(/ (* x y) (* t (pow z 2))) |
(/ (+ (/ (* t x) z) (/ (* x y) (pow z 2))) t) |
(/ (+ (/ (* t x) z) (/ (* x y) (pow z 2))) t) |
(/ (+ (/ (* t x) z) (/ (* x y) (pow z 2))) t) |
(* -1 (/ (* x y) (* (pow t 2) (pow z 2)))) |
(/ (+ (* -1 (/ (* t x) z)) (* -1 (/ (* x y) (pow z 2)))) (pow t 2)) |
(/ (+ (* -1 (/ (* t x) z)) (* -1 (/ (* x y) (pow z 2)))) (pow t 2)) |
(/ (+ (* -1 (/ (* t x) z)) (* -1 (/ (* x y) (pow z 2)))) (pow t 2)) |
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* t (+ (/ (* t (* x (pow z 2))) (pow y 3)) (/ (* x z) (pow y 2)))) (/ x y)) |
(+ (* t (+ (* t (+ (/ (* t (* x (pow z 3))) (pow y 4)) (/ (* x (pow z 2)) (pow y 3)))) (/ (* x z) (pow y 2)))) (/ x y)) |
(/ y (* t (pow z 2))) |
(/ y (* t (pow z 2))) |
(/ y (* t (pow z 2))) |
(/ y (* t (pow z 2))) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (pow z 2)) |
(* -1 (* t z)) |
(* t (+ (* -1 z) (/ y t))) |
(* t (+ (* -1 z) (/ y t))) |
(* t (+ (* -1 z) (/ y t))) |
(* -1 (/ x (* t z))) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) (/ (* x y) (* t (pow z 2)))) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 3)) (* (pow t 3) (pow z 4))))) (+ (/ (* x y) (* t (pow z 2))) (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) t) |
(* -1 (* t z)) |
(* t (- (/ y t) z)) |
(* t (- (/ y t) z)) |
(* t (- (/ y t) z)) |
(* -1 (/ (* t z) y)) |
(* t (+ (* -1 (/ z y)) (/ 1 t))) |
(* t (+ (* -1 (/ z y)) (/ 1 t))) |
(* t (+ (* -1 (/ z y)) (/ 1 t))) |
(* -1 (/ x (* t z))) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) (/ (* x y) (* t (pow z 2)))) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 3)) (* (pow t 3) (pow z 4))))) (+ (/ (* x y) (* t (pow z 2))) (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) t) |
(/ -1 (* t z)) |
(/ (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z)) t) |
(/ (- (* -1 (/ (pow y 2) (* (pow t 2) (pow z 3)))) (+ (/ 1 z) (/ y (* t (pow z 2))))) t) |
(/ (- (* -1 (/ (pow y 3) (* (pow t 3) (pow z 4)))) (+ (/ 1 z) (+ (/ y (* t (pow z 2))) (/ (pow y 2) (* (pow t 2) (pow z 3)))))) t) |
(* -1 (/ x (* t z))) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) (/ (* x y) (* t (pow z 2)))) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 3)) (* (pow t 3) (pow z 4))))) (+ (/ (* x y) (* t (pow z 2))) (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) t) |
(/ -1 (* t z)) |
(/ (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z)) t) |
(/ (- (* -1 (/ (pow y 2) (* (pow t 2) (pow z 3)))) (+ (/ 1 z) (/ y (* t (pow z 2))))) t) |
(/ (- (* -1 (/ (pow y 3) (* (pow t 3) (pow z 4)))) (+ (/ 1 z) (+ (/ y (* t (pow z 2))) (/ (pow y 2) (* (pow t 2) (pow z 3)))))) t) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -1 (/ x (* t z))) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/ (+ (* -1 (/ x z)) (+ (* -1 (/ (* x y) (* t (pow z 2)))) (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3)))))) t) |
(/ (- (+ (* -1 (/ x z)) (+ (* -1 (/ (* x y) (* t (pow z 2)))) (* -1 (/ (* x (pow y 3)) (* (pow t 3) (pow z 4)))))) (/ (* x (pow y 2)) (* (pow t 2) (pow z 3)))) t) |
(* t z) |
(* t (+ z (/ y t))) |
(* t (+ z (/ y t))) |
(* t (+ z (/ y t))) |
(* -1 (/ x (* (pow t 2) (pow z 2)))) |
(/ (+ (* -1 (/ x (pow z 2))) (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 4))))) (pow t 2)) |
(/ (- (+ (* -1 (/ x (pow z 2))) (* -1 (/ (* x (pow y 4)) (* (pow t 4) (pow z 6))))) (/ (* x (pow y 2)) (* (pow t 2) (pow z 4)))) (pow t 2)) |
(/ (- (+ (* -1 (/ x (pow z 2))) (* -1 (/ (* x (pow y 6)) (* (pow t 6) (pow z 8))))) (+ (/ (* x (pow y 2)) (* (pow t 2) (pow z 4))) (/ (* x (pow y 4)) (* (pow t 4) (pow z 6))))) (pow t 2)) |
(* -1 (/ x (* (pow t 2) (pow z 2)))) |
(* -1 (/ x (* (pow t 2) (pow z 2)))) |
(* -1 (/ x (* (pow t 2) (pow z 2)))) |
(* -1 (/ x (* (pow t 2) (pow z 2)))) |
(/ x z) |
(+ (/ x z) (/ (* x y) (* t (pow z 2)))) |
(+ (/ x z) (/ (* x y) (* t (pow z 2)))) |
(+ (/ x z) (/ (* x y) (* t (pow z 2)))) |
(* -1 (/ x (* t z))) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(* -1 (/ x (* t z))) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/ (+ (* -1 (/ x z)) (+ (* -1 (/ (* x y) (* t (pow z 2)))) (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3)))))) t) |
(/ (+ (* -1 (/ x z)) (+ (* -1 (/ (* x y) (* t (pow z 2)))) (+ (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3)))) (* -1 (/ (* x (pow y 3)) (* (pow t 3) (pow z 4))))))) t) |
(/ y (* t (pow z 2))) |
(/ y (* t (pow z 2))) |
(/ y (* t (pow z 2))) |
(/ y (* t (pow z 2))) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (pow z 2)) |
(* -1 (* t z)) |
(* -1 (* t (+ z (* -1 (/ y t))))) |
(* -1 (* t (+ z (* -1 (/ y t))))) |
(* -1 (* t (+ z (* -1 (/ y t))))) |
(* -1 (/ x (* t z))) |
(* -1 (/ (+ (/ x z) (/ (* x y) (* t (pow z 2)))) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow y 2)) (* t (pow z 3)))) (/ (* x y) (pow z 2))) t)) (/ x z)) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) (* t (pow z 4))) (* -1 (/ (* x (pow y 2)) (pow z 3)))) t)) (/ (* x y) (pow z 2))) t)) (/ x z)) t)) |
(* -1 (* t z)) |
(* -1 (* t (- (* -1 (/ y t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ y t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ y t)) (* -1 z)))) |
(* -1 (/ (* t z) y)) |
(* -1 (* t (- (/ z y) (/ 1 t)))) |
(* -1 (* t (- (/ z y) (/ 1 t)))) |
(* -1 (* t (- (/ z y) (/ 1 t)))) |
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(+ (* -1 (/ x (* t z))) (* y (+ (* -1 (/ x (* (pow t 2) (pow z 2)))) (* -1 (/ (* x y) (* (pow t 3) (pow z 3))))))) |
(+ (* -1 (/ x (* t z))) (* y (+ (* -1 (/ x (* (pow t 2) (pow z 2)))) (* y (- (* -1 (/ (* x y) (* (pow t 4) (pow z 4)))) (/ x (* (pow t 3) (pow z 3)))))))) |
(* t z) |
(+ y (* t z)) |
(+ y (* t z)) |
(+ y (* t z)) |
(* -1 (/ x (* (pow t 2) (pow z 2)))) |
(+ (* -1 (/ x (* (pow t 2) (pow z 2)))) (* -1 (/ (* x (pow y 2)) (* (pow t 4) (pow z 4))))) |
(+ (* -1 (/ x (* (pow t 2) (pow z 2)))) (* (pow y 2) (- (* -1 (/ (* x (pow y 2)) (* (pow t 6) (pow z 6)))) (/ x (* (pow t 4) (pow z 4)))))) |
(+ (* -1 (/ x (* (pow t 2) (pow z 2)))) (* (pow y 2) (- (* (pow y 2) (- (* -1 (/ (* x (pow y 2)) (* (pow t 8) (pow z 8)))) (/ x (* (pow t 6) (pow z 6))))) (/ x (* (pow t 4) (pow z 4)))))) |
(/ x z) |
(+ (/ x z) (/ (* x y) (* t (pow z 2)))) |
(+ (/ x z) (/ (* x y) (* t (pow z 2)))) |
(+ (/ x z) (/ (* x y) (* t (pow z 2)))) |
(* -1 (/ x (* t z))) |
(+ (* -1 (/ x (* t z))) (* -1 (/ (* x y) (* (pow t 2) (pow z 2))))) |
(+ (* -1 (/ x (* t z))) (* -1 (/ (* x y) (* (pow t 2) (pow z 2))))) |
(+ (* -1 (/ x (* t z))) (* -1 (/ (* x y) (* (pow t 2) (pow z 2))))) |
(* -1 (/ x (* t z))) |
(+ (* -1 (/ x (* t z))) (* -1 (/ (* x y) (* (pow t 2) (pow z 2))))) |
(+ (* -1 (/ x (* t z))) (* y (+ (* -1 (/ x (* (pow t 2) (pow z 2)))) (* -1 (/ (* x y) (* (pow t 3) (pow z 3))))))) |
(+ (* -1 (/ x (* t z))) (* y (+ (* -1 (/ x (* (pow t 2) (pow z 2)))) (* y (+ (* -1 (/ x (* (pow t 3) (pow z 3)))) (* -1 (/ (* x y) (* (pow t 4) (pow z 4))))))))) |
(/ y (* t (pow z 2))) |
(/ y (* t (pow z 2))) |
(/ y (* t (pow z 2))) |
(/ y (* t (pow z 2))) |
y |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(/ x y) |
(/ (+ x (/ (* t (* x z)) y)) y) |
(/ (- (+ x (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))) (* -1 (/ (* t (* x z)) y))) y) |
(/ (- (+ x (/ (* (pow t 3) (* x (pow z 3))) (pow y 3))) (+ (* -1 (/ (* t (* x z)) y)) (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))))) y) |
y |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
1 |
(+ 1 (* -1 (/ (* t z) y))) |
(+ 1 (* -1 (/ (* t z) y))) |
(+ 1 (* -1 (/ (* t z) y))) |
(/ x y) |
(/ (+ x (/ (* t (* x z)) y)) y) |
(/ (- (+ x (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))) (* -1 (/ (* t (* x z)) y))) y) |
(/ (- (+ x (/ (* (pow t 3) (* x (pow z 3))) (pow y 3))) (+ (* -1 (/ (* t (* x z)) y)) (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))))) y) |
(/ 1 y) |
(/ (+ 1 (/ (* t z) y)) y) |
(/ (- (+ 1 (/ (* (pow t 2) (pow z 2)) (pow y 2))) (* -1 (/ (* t z) y))) y) |
(/ (- (+ 1 (/ (* (pow t 3) (pow z 3)) (pow y 3))) (+ (* -1 (/ (* t z) y)) (* -1 (/ (* (pow t 2) (pow z 2)) (pow y 2))))) y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ x y) |
(/ (+ x (/ (* t (* x z)) y)) y) |
(/ (- (+ x (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))) (* -1 (/ (* t (* x z)) y))) y) |
(/ (- (+ x (/ (* (pow t 3) (* x (pow z 3))) (pow y 3))) (+ (* -1 (/ (* t (* x z)) y)) (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))))) y) |
(/ 1 y) |
(/ (+ 1 (/ (* t z) y)) y) |
(/ (- (+ 1 (/ (* (pow t 2) (pow z 2)) (pow y 2))) (* -1 (/ (* t z) y))) y) |
(/ (- (+ 1 (/ (* (pow t 3) (pow z 3)) (pow y 3))) (+ (* -1 (/ (* t z) y)) (* -1 (/ (* (pow t 2) (pow z 2)) (pow y 2))))) y) |
(/ x y) |
(/ (+ x (/ (* t (* x z)) y)) y) |
(/ (+ x (+ (/ (* t (* x z)) y) (/ (* (pow t 2) (* x (pow z 2))) (pow y 2)))) y) |
(/ (- (+ x (+ (/ (* t (* x z)) y) (/ (* (pow t 3) (* x (pow z 3))) (pow y 3)))) (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2)))) y) |
y |
(* y (+ 1 (/ (* t z) y))) |
(* y (+ 1 (/ (* t z) y))) |
(* y (+ 1 (/ (* t z) y))) |
(/ x (pow y 2)) |
(/ (+ x (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))) (pow y 2)) |
(/ (- (+ x (/ (* (pow t 4) (* x (pow z 4))) (pow y 4))) (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2)))) (pow y 2)) |
(/ (- (+ x (/ (* (pow t 6) (* x (pow z 6))) (pow y 6))) (+ (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))) (* -1 (/ (* (pow t 4) (* x (pow z 4))) (pow y 4))))) (pow y 2)) |
(/ (* x y) (* t (pow z 2))) |
(* y (+ (/ x (* t (pow z 2))) (/ x (* y z)))) |
(* y (+ (/ x (* t (pow z 2))) (/ x (* y z)))) |
(* y (+ (/ x (* t (pow z 2))) (/ x (* y z)))) |
(* -1 (/ (* x y) (* (pow t 2) (pow z 2)))) |
(* y (+ (* -1 (/ x (* t (* y z)))) (* -1 (/ x (* (pow t 2) (pow z 2)))))) |
(* y (+ (* -1 (/ x (* t (* y z)))) (* -1 (/ x (* (pow t 2) (pow z 2)))))) |
(* y (+ (* -1 (/ x (* t (* y z)))) (* -1 (/ x (* (pow t 2) (pow z 2)))))) |
(/ x y) |
(/ (+ x (/ (* t (* x z)) y)) y) |
(/ (+ x (+ (/ (* t (* x z)) y) (/ (* (pow t 2) (* x (pow z 2))) (pow y 2)))) y) |
(/ (+ x (+ (/ (* t (* x z)) y) (+ (/ (* (pow t 2) (* x (pow z 2))) (pow y 2)) (/ (* (pow t 3) (* x (pow z 3))) (pow y 3))))) y) |
(/ y (* t (pow z 2))) |
(/ y (* t (pow z 2))) |
(/ y (* t (pow z 2))) |
(/ y (* t (pow z 2))) |
y |
(* -1 (* y (- (/ (* t z) y) 1))) |
(* -1 (* y (- (/ (* t z) y) 1))) |
(* -1 (* y (- (/ (* t z) y) 1))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* t (* x z)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* t (* x z)) (/ (* (pow t 2) (* x (pow z 2))) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow t 2) (* x (pow z 2)))) (* -1 (/ (* (pow t 3) (* x (pow z 3))) y))) y)) (* t (* x z))) y))) y)) |
y |
(* -1 (* y (- (/ (* t z) y) 1))) |
(* -1 (* y (- (/ (* t z) y) 1))) |
(* -1 (* y (- (/ (* t z) y) 1))) |
1 |
(+ 1 (* -1 (/ (* t z) y))) |
(+ 1 (* -1 (/ (* t z) y))) |
(+ 1 (* -1 (/ (* t z) y))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* t (* x z)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* t (* x z)) (/ (* (pow t 2) (* x (pow z 2))) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow t 2) (* x (pow z 2)))) (* -1 (/ (* (pow t 3) (* x (pow z 3))) y))) y)) (* t (* x z))) y))) y)) |
(/ 1 y) |
(* -1 (/ (- (* -1 (/ (* t z) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow t 2) (pow z 2)) y) (* -1 (* t z))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow t 3) (pow z 3)) y)) (* (pow t 2) (pow z 2))) y)) (* -1 (* t z))) y)) 1) y)) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* t (* x z)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* t (* x z)) (/ (* (pow t 2) (* x (pow z 2))) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow t 2) (* x (pow z 2)))) (* -1 (/ (* (pow t 3) (* x (pow z 3))) y))) y)) (* t (* x z))) y))) y)) |
(/ 1 y) |
(* -1 (/ (- (* -1 (/ (* t z) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow t 2) (pow z 2)) y) (* -1 (* t z))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow t 3) (pow z 3)) y)) (* (pow t 2) (pow z 2))) y)) (* -1 (* t z))) y)) 1) y)) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* t (* x z)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* t (* x z)) (/ (* (pow t 2) (* x (pow z 2))) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* (pow t 3) (* x (pow z 3))) y)) (* (pow t 2) (* x (pow z 2)))) y)) (* t (* x z))) y))) y)) |
y |
(* -1 (* y (- (* -1 (/ (* t z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (* t z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (* t z) y)) 1))) |
(/ x (pow y 2)) |
(/ (+ x (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))) (pow y 2)) |
(/ (- (+ x (/ (* (pow t 4) (* x (pow z 4))) (pow y 4))) (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2)))) (pow y 2)) |
(/ (- (+ x (/ (* (pow t 6) (* x (pow z 6))) (pow y 6))) (+ (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))) (* -1 (/ (* (pow t 4) (* x (pow z 4))) (pow y 4))))) (pow y 2)) |
(/ (* x y) (* t (pow z 2))) |
(* -1 (* y (+ (* -1 (/ x (* t (pow z 2)))) (* -1 (/ x (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x (* t (pow z 2)))) (* -1 (/ x (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x (* t (pow z 2)))) (* -1 (/ x (* y z)))))) |
(* -1 (/ (* x y) (* (pow t 2) (pow z 2)))) |
(* -1 (* y (+ (/ x (* t (* y z))) (/ x (* (pow t 2) (pow z 2)))))) |
(* -1 (* y (+ (/ x (* t (* y z))) (/ x (* (pow t 2) (pow z 2)))))) |
(* -1 (* y (+ (/ x (* t (* y z))) (/ x (* (pow t 2) (pow z 2)))))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* t (* x z)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* t (* x z)) (/ (* (pow t 2) (* x (pow z 2))) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow t 2) (* x (pow z 2)))) (* -1 (/ (* (pow t 3) (* x (pow z 3))) y))) y)) (* t (* x z))) y))) y)) |
(/ y (* t (pow z 2))) |
(/ y (* t (pow z 2))) |
(/ y (* t (pow z 2))) |
(/ y (* t (pow z 2))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
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(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
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(* -1 (/ x (* (pow t 2) (pow z 2)))) |
(* -1 (/ x (* (pow t 2) (pow z 2)))) |
(* -1 (/ x (* (pow t 2) (pow z 2)))) |
(* -1 (/ x (* (pow t 2) (pow z 2)))) |
(* x (+ (/ 1 z) (/ y (* t (pow z 2))))) |
(* x (+ (/ 1 z) (/ y (* t (pow z 2))))) |
(* x (+ (/ 1 z) (/ y (* t (pow z 2))))) |
(* x (+ (/ 1 z) (/ y (* t (pow z 2))))) |
(* -1 (/ (* x (+ (/ 1 z) (/ y (* t (pow z 2))))) t)) |
(* -1 (/ (* x (+ (/ 1 z) (/ y (* t (pow z 2))))) t)) |
(* -1 (/ (* x (+ (/ 1 z) (/ y (* t (pow z 2))))) t)) |
(* -1 (/ (* x (+ (/ 1 z) (/ y (* t (pow z 2))))) t)) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
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(* -1 (/ x (- (* t z) y))) |
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(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
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(/ x (- y (* t z))) |
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(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
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(* -1 (/ x (* (pow t 2) (pow z 2)))) |
(* -1 (/ x (* (pow t 2) (pow z 2)))) |
(* -1 (/ x (* (pow t 2) (pow z 2)))) |
(* x (+ (/ 1 z) (/ y (* t (pow z 2))))) |
(* x (+ (/ 1 z) (/ y (* t (pow z 2))))) |
(* x (+ (/ 1 z) (/ y (* t (pow z 2))))) |
(* x (+ (/ 1 z) (/ y (* t (pow z 2))))) |
(* -1 (/ (* x (+ (/ 1 z) (/ y (* t (pow z 2))))) t)) |
(* -1 (/ (* x (+ (/ 1 z) (/ y (* t (pow z 2))))) t)) |
(* -1 (/ (* x (+ (/ 1 z) (/ y (* t (pow z 2))))) t)) |
(* -1 (/ (* x (+ (/ 1 z) (/ y (* t (pow z 2))))) t)) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ (* x (+ y (* t z))) (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(/ x (- (pow y 2) (* (pow t 2) (pow z 2)))) |
(* -1 (/ x (* (pow t 2) (pow z 2)))) |
(* -1 (/ x (* (pow t 2) (pow z 2)))) |
(* -1 (/ x (* (pow t 2) (pow z 2)))) |
(* -1 (/ x (* (pow t 2) (pow z 2)))) |
(* -1 (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z)))) |
(/ (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z))) t) |
(/ (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z))) t) |
(/ (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z))) t) |
(/ (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z))) t) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
| Outputs |
|---|
y |
(+ y (* -1 (* t z))) |
(-.f64 y (*.f64 z t)) |
(+ y (* -1 (* t z))) |
(-.f64 y (*.f64 z t)) |
(+ y (* -1 (* t z))) |
(-.f64 y (*.f64 z t)) |
(/ x y) |
(/.f64 x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(fma.f64 (*.f64 (/.f64 (/.f64 x y) y) t) z (/.f64 x y)) |
(+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(fma.f64 (fma.f64 (*.f64 x (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (*.f64 t t) (*.f64 (/.f64 (/.f64 x y) y) t)) z (/.f64 x y)) |
(+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 t (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 z z) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) t (*.f64 (/.f64 z y) (/.f64 x y))) t (/.f64 x y)) |
y |
(+ y (* -1 (* t z))) |
(-.f64 y (*.f64 z t)) |
(+ y (* -1 (* t z))) |
(-.f64 y (*.f64 z t)) |
(+ y (* -1 (* t z))) |
(-.f64 y (*.f64 z t)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* -1 (/ (* t z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z t) y)) |
(+ 1 (* -1 (/ (* t z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z t) y)) |
(+ 1 (* -1 (/ (* t z) y))) |
(-.f64 #s(literal 1 binary64) (/.f64 (*.f64 z t) y)) |
(/ x y) |
(/.f64 x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(fma.f64 (*.f64 (/.f64 (/.f64 x y) y) t) z (/.f64 x y)) |
(+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(fma.f64 (fma.f64 (*.f64 x (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (*.f64 t t) (*.f64 (/.f64 (/.f64 x y) y) t)) z (/.f64 x y)) |
(+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 t (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 z z) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) t (*.f64 (/.f64 z y) (/.f64 x y))) t (/.f64 x y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (/ 1 y) (/ (* t z) (pow y 2))) |
(fma.f64 (/.f64 t y) (/.f64 z y) (/.f64 #s(literal 1 binary64) y)) |
(+ (* t (- (/ (* t (pow z 2)) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ 1 y)) |
(fma.f64 (fma.f64 (*.f64 z z) (/.f64 t (pow.f64 y #s(literal 3 binary64))) (/.f64 z (*.f64 y y))) t (/.f64 #s(literal 1 binary64) y)) |
(+ (* t (- (* t (- (/ (* t (pow z 3)) (pow y 4)) (* -1 (/ (pow z 2) (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ 1 y)) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 t (pow.f64 y #s(literal 4 binary64))) (*.f64 z (/.f64 z (pow.f64 y #s(literal 3 binary64))))) t (/.f64 z (*.f64 y y))) t (/.f64 #s(literal 1 binary64) y)) |
(/ x y) |
(/.f64 x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(fma.f64 (*.f64 (/.f64 (/.f64 x y) y) t) z (/.f64 x y)) |
(+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(fma.f64 (fma.f64 (*.f64 x (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (*.f64 t t) (*.f64 (/.f64 (/.f64 x y) y) t)) z (/.f64 x y)) |
(+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 t (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 z z) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) t (*.f64 (/.f64 z y) (/.f64 x y))) t (/.f64 x y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (/ 1 y) (/ (* t z) (pow y 2))) |
(fma.f64 (/.f64 t y) (/.f64 z y) (/.f64 #s(literal 1 binary64) y)) |
(+ (* t (- (/ (* t (pow z 2)) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ 1 y)) |
(fma.f64 (fma.f64 (*.f64 z z) (/.f64 t (pow.f64 y #s(literal 3 binary64))) (/.f64 z (*.f64 y y))) t (/.f64 #s(literal 1 binary64) y)) |
(+ (* t (- (* t (- (/ (* t (pow z 3)) (pow y 4)) (* -1 (/ (pow z 2) (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ 1 y)) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 t (pow.f64 y #s(literal 4 binary64))) (*.f64 z (/.f64 z (pow.f64 y #s(literal 3 binary64))))) t (/.f64 z (*.f64 y y))) t (/.f64 #s(literal 1 binary64) y)) |
(/ -1 (* t z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z t)) |
(/ -1 (* t z)) |
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(/.f64 (neg.f64 x) (-.f64 (*.f64 z t) y)) |
(* -1 (/ x (- (* t z) y))) |
(/.f64 (neg.f64 x) (-.f64 (*.f64 z t) y)) |
(* -1 (/ x (- (* t z) y))) |
(/.f64 (neg.f64 x) (-.f64 (*.f64 z t) y)) |
| 5 120× | lower-/.f32 |
| 5 104× | lower-/.f64 |
| 4 562× | lower-*.f32 |
| 4 548× | lower-*.f64 |
| 4 526× | lower-fma.f32 |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 249 |
| 0 | 70 | 241 |
| 1 | 291 | 233 |
| 2 | 1983 | 233 |
| 0 | 8988 | 233 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y) |
(/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y))) |
#s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y)) |
(fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) |
(*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) |
#s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) |
(/.f64 #s(literal -1 binary64) (*.f64 z t)) |
(*.f64 z t) |
(*.f64 (fma.f64 t z y) #s(approx (/ x (- (* y y) (pow (* t z) 2))) (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)))) |
(fma.f64 t z y) |
#s(approx (/ x (- (* y y) (pow (* t z) 2))) (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t))) |
(/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)) |
(fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) |
(/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t)) |
#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t))) |
(/.f64 y (*.f64 (*.f64 z t) z)) |
(*.f64 (*.f64 (*.f64 z t) z) t) |
| Outputs |
|---|
(*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y) |
(*.f64 y (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 (neg.f64 t) (/.f64 z y)) y) #s(literal 3 binary64)) (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 (neg.f64 t) (/.f64 z y)) y) (*.f64 (*.f64 (neg.f64 t) (/.f64 z y)) y) (-.f64 (*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y)) (*.f64 (*.f64 (*.f64 (neg.f64 t) (/.f64 z y)) y) (*.f64 #s(literal 1 binary64) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 #s(literal 1 binary64) y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 (neg.f64 t) (/.f64 z y)) y) #s(literal 3 binary64))) (fma.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 #s(literal 1 binary64) y) (-.f64 (*.f64 (*.f64 (*.f64 (neg.f64 t) (/.f64 z y)) y) (*.f64 (*.f64 (neg.f64 t) (/.f64 z y)) y)) (*.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (neg.f64 t) (/.f64 z y)) y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 y (*.f64 (neg.f64 t) (/.f64 z y))) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64))) (fma.f64 (*.f64 y (*.f64 (neg.f64 t) (/.f64 z y))) (*.f64 y (*.f64 (neg.f64 t) (/.f64 z y))) (-.f64 (*.f64 y y) (*.f64 (*.f64 y (*.f64 (neg.f64 t) (/.f64 z y))) y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 y (*.f64 (neg.f64 t) (/.f64 z y))) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (*.f64 (*.f64 y (*.f64 (neg.f64 t) (/.f64 z y))) (*.f64 y (*.f64 (neg.f64 t) (/.f64 z y)))) (*.f64 y (*.f64 y (*.f64 (neg.f64 t) (/.f64 z y))))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)) #s(literal 1 binary64)) y)) (neg.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1 binary64)) y)) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 z y))) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 z y))) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)) #s(literal 1 binary64)) y) (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal -1 binary64))) |
(/.f64 (*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1 binary64)) y) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 z y))) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)))) |
(/.f64 (*.f64 y (-.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal -1 binary64))) |
(/.f64 (*.f64 y (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 z y))) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)))) |
(fma.f64 (*.f64 (neg.f64 t) (/.f64 z y)) y (*.f64 #s(literal 1 binary64) y)) |
(fma.f64 #s(literal 1 binary64) y (*.f64 (*.f64 (neg.f64 t) (/.f64 z y)) y)) |
(fma.f64 y (*.f64 (neg.f64 t) (/.f64 z y)) y) |
(fma.f64 y #s(literal 1 binary64) (*.f64 y (*.f64 (neg.f64 t) (/.f64 z y)))) |
(+.f64 (*.f64 (*.f64 (neg.f64 t) (/.f64 z y)) y) (*.f64 #s(literal 1 binary64) y)) |
(+.f64 (*.f64 #s(literal 1 binary64) y) (*.f64 (*.f64 (neg.f64 t) (/.f64 z y)) y)) |
(+.f64 (*.f64 y (*.f64 (neg.f64 t) (/.f64 z y))) y) |
(+.f64 y (*.f64 y (*.f64 (neg.f64 t) (/.f64 z y)))) |
(*.f64 (pow.f64 #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y)) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y))) #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 (neg.f64 x) #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y)))) |
(*.f64 x (pow.f64 #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y)))) |
(pow.f64 (/.f64 (/.f64 #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y)) x) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y)) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y)))) (*.f64 (neg.f64 #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y))) x)) (*.f64 (neg.f64 #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y))) (neg.f64 #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y))))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 x) (neg.f64 (neg.f64 (neg.f64 #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y)))))) |
(/.f64 (neg.f64 x) (neg.f64 #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y)) x) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y)) x))) |
(/.f64 x (neg.f64 (neg.f64 #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y))))) |
(/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y)) x) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y)) x)) |
(neg.f64 (/.f64 (neg.f64 x) #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y))) (/.f64 (neg.f64 x) #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y)))) (/.f64 (neg.f64 x) #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y)))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y)) x)) #s(literal -1 binary64))) |
#s(approx (- y (* z t)) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) y)) |
(*.f64 (-.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (pow.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (pow.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 z y))) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(pow.f64 (/.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 z y))) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1 binary64))) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal -1 binary64))))) |
(/.f64 (neg.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1 binary64)))) (neg.f64 (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 z y))) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)))) (neg.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 z y))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal -1 binary64))) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal -1 binary64)) #s(literal 1 binary64))) (*.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal -1 binary64)) (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal -1 binary64)))) |
(/.f64 (-.f64 #s(literal 1 binary64) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64))) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 z y)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)) #s(literal 1 binary64))) (neg.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal -1 binary64)))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)) (*.f64 (neg.f64 t) (/.f64 z y)))))) |
(/.f64 (neg.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1 binary64))) (neg.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 z y))) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64))))) |
(/.f64 (-.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)) #s(literal 1 binary64)) (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal -1 binary64))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 #s(literal 1 binary64) (-.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)) (*.f64 (neg.f64 t) (/.f64 z y))))) |
(/.f64 (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1 binary64)) (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 z y))) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 z y))) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal -1 binary64)) (-.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 z y))) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64))) (fma.f64 #s(literal -1 binary64) (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 3 binary64)) #s(literal 1 binary64)))) |
(fma.f64 (*.f64 (/.f64 z y) #s(literal -1 binary64)) t #s(literal 1 binary64)) |
(fma.f64 (neg.f64 (/.f64 z y)) t #s(literal 1 binary64)) |
(fma.f64 (*.f64 (neg.f64 z) t) (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (*.f64 (neg.f64 t) (/.f64 z y)) #s(literal 1 binary64) #s(literal 1 binary64)) |
(fma.f64 #s(literal -1 binary64) (*.f64 t (/.f64 z y)) #s(literal 1 binary64)) |
(fma.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 z y)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 t) (*.f64 (/.f64 z y) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (neg.f64 t) (/.f64 z y) #s(literal 1 binary64)) |
(fma.f64 (/.f64 z y) (*.f64 (neg.f64 t) #s(literal 1 binary64)) #s(literal 1 binary64)) |
(fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) |
(fma.f64 z (/.f64 (neg.f64 t) y) #s(literal 1 binary64)) |
(fma.f64 z (*.f64 (pow.f64 y #s(literal -1 binary64)) (neg.f64 t)) #s(literal 1 binary64)) |
(-.f64 (/.f64 #s(literal 1 binary64) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 z y)))) (/.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)) (-.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 z y))))) |
(-.f64 (/.f64 (pow.f64 (*.f64 t (/.f64 z y)) #s(literal 2 binary64)) (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal -1 binary64))) (pow.f64 (fma.f64 (neg.f64 t) (/.f64 z y) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(-.f64 #s(literal 1 binary64) (*.f64 t (/.f64 z y))) |
(+.f64 (*.f64 (neg.f64 t) (/.f64 z y)) #s(literal 1 binary64)) |
(+.f64 #s(literal 1 binary64) (*.f64 (neg.f64 t) (/.f64 z y))) |
(*.f64 #s(approx (pow (- y (* t z)) -1) (pow.f64 y #s(literal -1 binary64))) x) |
(*.f64 x #s(approx (pow (- y (* t z)) -1) (pow.f64 y #s(literal -1 binary64)))) |
#s(approx (pow (- y (* t z)) -1) (pow.f64 y #s(literal -1 binary64))) |
(*.f64 (pow.f64 y #s(literal -1/2 binary64)) (pow.f64 y #s(literal -1/2 binary64))) |
(*.f64 (pow.f64 y #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) y)) |
(*.f64 #s(literal 1 binary64) (pow.f64 y #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (pow.f64 y #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 y)) #s(literal -1 binary64)) |
(pow.f64 (*.f64 y y) #s(literal -1/2 binary64)) |
(pow.f64 y #s(literal -1 binary64)) |
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(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (fma.f64 (/.f64 y (*.f64 (*.f64 t z) z)) x (/.f64 x z)))) |
(neg.f64 (/.f64 (fma.f64 (/.f64 y (*.f64 (*.f64 t z) z)) x (/.f64 x z)) t)) |
(-.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (*.f64 (*.f64 t z) z)) x) #s(literal 2 binary64)) (*.f64 (neg.f64 t) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 y z) t) x) x) z))) (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (*.f64 (neg.f64 t) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 y z) t) x) x) z)))) |
(-.f64 (/.f64 #s(literal 0 binary64) t) (/.f64 (fma.f64 (/.f64 y (*.f64 (*.f64 t z) z)) x (/.f64 x z)) t)) |
(-.f64 (/.f64 (/.f64 (pow.f64 (*.f64 (/.f64 y (*.f64 (*.f64 t z) z)) x) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 y z) t) x) x) z)) (neg.f64 t)) (/.f64 (/.f64 (pow.f64 (/.f64 x z) #s(literal 2 binary64)) (/.f64 (-.f64 (*.f64 (/.f64 (/.f64 y z) t) x) x) z)) (neg.f64 t))) |
(-.f64 #s(literal 0 binary64) (/.f64 (fma.f64 (/.f64 y (*.f64 (*.f64 t z) z)) x (/.f64 x z)) t)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 t) (fma.f64 (/.f64 y (*.f64 (*.f64 t z) z)) x (/.f64 x z)))) #s(literal -1 binary64))) |
#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (fma.f64 (/.f64 y (*.f64 (*.f64 t z) z)) x (/.f64 x z)) (neg.f64 t))) |
(*.f64 (/.f64 (/.f64 y z) t) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 t z) #s(literal -1 binary64)) (/.f64 y z)) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (/.f64 (/.f64 y z) t)) |
(*.f64 (pow.f64 (*.f64 (*.f64 t z) z) #s(literal -1 binary64)) y) |
(*.f64 (neg.f64 y) (/.f64 #s(literal -1 binary64) (*.f64 (*.f64 t z) z))) |
(*.f64 #s(literal 1 binary64) (/.f64 y (*.f64 (*.f64 t z) z))) |
(*.f64 y (pow.f64 (*.f64 (*.f64 t z) z) #s(literal -1 binary64))) |
(pow.f64 (/.f64 z (/.f64 (/.f64 y z) t)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (/.f64 (*.f64 (*.f64 t z) z) y) #s(literal 1 binary64)) #s(literal -1 binary64)) |
(pow.f64 (/.f64 (*.f64 (*.f64 t z) z) y) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 (/.f64 (/.f64 y z) t))) (neg.f64 (neg.f64 z))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 y))) (neg.f64 (neg.f64 (*.f64 (*.f64 (neg.f64 z) t) z)))) |
(/.f64 (neg.f64 (/.f64 (/.f64 y z) t)) (neg.f64 z)) |
(/.f64 (neg.f64 (/.f64 y z)) (*.f64 (neg.f64 z) t)) |
(/.f64 (neg.f64 (neg.f64 y)) (neg.f64 (*.f64 (*.f64 (neg.f64 z) t) z))) |
(/.f64 (/.f64 (/.f64 y z) t) z) |
(/.f64 (/.f64 y z) (*.f64 t z)) |
(/.f64 (neg.f64 y) (*.f64 (*.f64 (neg.f64 z) t) z)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z (/.f64 (/.f64 y z) t)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (/.f64 (*.f64 (*.f64 t z) z) y) #s(literal 1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (*.f64 (*.f64 t z) z) y))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (*.f64 (*.f64 t z) z) y)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z (/.f64 (/.f64 y z) t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 (*.f64 (*.f64 t z) z) y) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 (*.f64 (*.f64 t z) z) y)) |
(/.f64 y (*.f64 (*.f64 t z) z)) |
(neg.f64 (/.f64 (neg.f64 y) (*.f64 (*.f64 t z) z))) |
(neg.f64 (/.f64 y (*.f64 (*.f64 (neg.f64 z) t) z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (*.f64 (*.f64 t z) z)) (/.f64 y (*.f64 (*.f64 (neg.f64 z) t) z))) |
(exp.f64 (*.f64 (log.f64 (/.f64 (*.f64 (*.f64 t z) z) y)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 (*.f64 (*.f64 t z) z) #s(literal 1 binary64)) t) |
(*.f64 (pow.f64 (*.f64 (*.f64 t z) t) #s(literal 1 binary64)) z) |
(*.f64 (pow.f64 (*.f64 t (*.f64 t z)) #s(literal 1 binary64)) z) |
(*.f64 (*.f64 (*.f64 t z) t) z) |
(*.f64 (*.f64 t (*.f64 t z)) z) |
(*.f64 (*.f64 (neg.f64 z) t) (*.f64 (neg.f64 z) t)) |
(*.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (*.f64 t t) (*.f64 z z)) |
(*.f64 (*.f64 (*.f64 t z) z) t) |
(*.f64 (*.f64 t z) (*.f64 t z)) |
(*.f64 t (pow.f64 (*.f64 (*.f64 t z) z) #s(literal 1 binary64))) |
(*.f64 t (*.f64 (*.f64 t z) z)) |
(*.f64 z (pow.f64 (*.f64 (*.f64 t z) t) #s(literal 1 binary64))) |
(*.f64 z (pow.f64 (*.f64 t (*.f64 t z)) #s(literal 1 binary64))) |
(*.f64 z (*.f64 (*.f64 t z) t)) |
(*.f64 z (*.f64 t (*.f64 t z))) |
(pow.f64 (exp.f64 #s(literal 2 binary64)) (log.f64 (*.f64 t z))) |
(pow.f64 (*.f64 (neg.f64 z) t) #s(literal 2 binary64)) |
(pow.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)) #s(literal 1 binary64)) |
(pow.f64 (*.f64 t z) #s(literal 2 binary64)) |
(exp.f64 (fma.f64 (log.f64 z) #s(literal 2 binary64) (*.f64 (log.f64 t) #s(literal 2 binary64)))) |
(exp.f64 (fma.f64 (log.f64 t) #s(literal 2 binary64) (*.f64 (log.f64 z) #s(literal 2 binary64)))) |
(exp.f64 (*.f64 (log.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64))) #s(literal 1 binary64))) |
(exp.f64 (log.f64 (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) |
Compiled 27 222 to 3 118 computations (88.5% saved)
10 alts after pruning (5 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 363 | 2 | 1 365 |
| Fresh | 0 | 3 | 3 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 1 365 | 10 | 1 375 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 25.9% | (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) #s(approx (* (+ (* t z) y) (- (* t z) y)) (*.f64 (*.f64 (*.f64 z t) z) t))) |
| ✓ | 95.6% | (/.f64 x (-.f64 y (*.f64 z t))) |
| ✓ | 85.0% | (/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y))) |
| ▶ | 46.5% | (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) |
| ▶ | 48.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x)))) |
| ▶ | 46.8% | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) x) |
| ✓ | 58.0% | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) |
| ✓ | 46.5% | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) |
| ▶ | 48.4% | #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t))) |
| ✓ | 58.1% | #s(approx (/ x (- y (* z t))) (/.f64 x y)) |
Compiled 133 to 137 computations (-3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 t z y) | |
| cost-diff | 0 | (*.f64 (fma.f64 t z y) x) | |
| cost-diff | 0 | (neg.f64 (*.f64 (fma.f64 t z y) x)) | |
| cost-diff | 0 | (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) #s(approx (* (+ (* t z) y) (- (* t z) y)) (*.f64 (*.f64 (*.f64 z t) z) t))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal -1 binary64) z) t) | |
| cost-diff | 0 | #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) | |
| cost-diff | 0 | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) x) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) | |
| cost-diff | 0 | (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t)) | |
| cost-diff | 0 | #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t))) | |
| cost-diff | 0 | (neg.f64 t) | |
| cost-diff | 0 | (*.f64 (neg.f64 t) z) | |
| cost-diff | 0 | #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)) | |
| cost-diff | 0 | (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) | |
| cost-diff | 0 | (neg.f64 t) | |
| cost-diff | 0 | (*.f64 (neg.f64 t) (/.f64 z x)) | |
| cost-diff | 0 | #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x)))) |
| 6 418× | lower-fma.f32 |
| 6 416× | lower-fma.f64 |
| 4 720× | lower-*.f32 |
| 4 706× | lower-*.f64 |
| 2 648× | lower-/.f32 |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 280 |
| 0 | 67 | 280 |
| 1 | 123 | 280 |
| 2 | 281 | 270 |
| 3 | 687 | 263 |
| 4 | 1842 | 263 |
| 5 | 5484 | 263 |
| 0 | 8399 | 263 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x)))) |
#s(literal 1 binary64) |
#s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x))) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(neg.f64 t) |
t |
(/.f64 z x) |
z |
x |
(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) |
x |
#s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)) |
(*.f64 (neg.f64 t) z) |
(neg.f64 t) |
t |
z |
#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t))) |
(/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t)) |
#s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(neg.f64 t) |
t |
(*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) x) |
#s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) t) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
t |
x |
(/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) #s(approx (* (+ (* t z) y) (- (* t z) y)) (*.f64 (*.f64 (*.f64 z t) z) t))) |
(neg.f64 (*.f64 (fma.f64 t z y) x)) |
(*.f64 (fma.f64 t z y) x) |
(fma.f64 t z y) |
t |
z |
y |
x |
#s(approx (* (+ (* t z) y) (- (* t z) y)) (*.f64 (*.f64 (*.f64 z t) z) t)) |
(*.f64 (*.f64 (*.f64 z t) z) t) |
(*.f64 (*.f64 z t) z) |
(*.f64 z t) |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 (neg.f64 t) x) z))) |
#s(literal 1 binary64) |
#s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x))) |
#s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 (neg.f64 t) x) z)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(*.f64 (/.f64 (neg.f64 t) x) z) |
(neg.f64 t) |
t |
(/.f64 z x) |
z |
x |
(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) |
x |
#s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)) |
(*.f64 (neg.f64 t) z) |
(neg.f64 t) |
t |
z |
#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t))) |
(/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t)) |
#s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(neg.f64 t) |
t |
(*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) x) |
#s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) t) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
t |
x |
(/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) #s(approx (* (+ (* t z) y) (- (* t z) y)) (*.f64 (*.f64 (*.f64 z t) z) t))) |
(/.f64 (*.f64 (neg.f64 x) (fma.f64 z t y)) #s(approx (* (+ (* t z) y) (- (* t z) y)) (*.f64 (*.f64 (*.f64 z t) z) t))) |
(neg.f64 (*.f64 (fma.f64 t z y) x)) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(*.f64 (fma.f64 t z y) x) |
(*.f64 (fma.f64 z t y) x) |
(fma.f64 t z y) |
(fma.f64 z t y) |
t |
z |
y |
x |
#s(approx (* (+ (* t z) y) (- (* t z) y)) (*.f64 (*.f64 (*.f64 z t) z) t)) |
(*.f64 (*.f64 (*.f64 z t) z) t) |
(*.f64 (*.f64 z t) z) |
(*.f64 z t) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 2.4023492155623476 | (*.f64 (fma.f64 t z y) x) | |
| accuracy | 2.898688095360824 | (*.f64 (*.f64 (*.f64 z t) z) t) | |
| accuracy | 24.466170516123423 | (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) #s(approx (* (+ (* t z) y) (- (* t z) y)) (*.f64 (*.f64 (*.f64 z t) z) t))) | |
| accuracy | 31.332002839680012 | #s(approx (* (+ (* t z) y) (- (* t z) y)) (*.f64 (*.f64 (*.f64 z t) z) t)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) z) | |
| accuracy | 0.1875 | (/.f64 (/.f64 #s(literal -1 binary64) z) t) | |
| accuracy | 2.732074918901722 | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) x) | |
| accuracy | 33.79288201330857 | #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 4.709815569327497 | (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t)) | |
| accuracy | 28.3051804283829 | #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) | |
| accuracy | 33.66690921860468 | #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t))) | |
| accuracy | 0 | (*.f64 (neg.f64 t) z) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 2.827987455169374 | (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) | |
| accuracy | 33.769519844956 | #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 0.9162422090971416 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x)))) | |
| accuracy | 5.579832912427594 | (*.f64 (neg.f64 t) (/.f64 z x)) | |
| accuracy | 31.03409921316223 | #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x))) |
| 113.0ms | 256× | 0 | valid |
Compiled 209 to 36 computations (82.8% saved)
ival-mult: 46.0ms (49.8% of total)ival-div: 34.0ms (36.8% of total)ival-pow: 4.0ms (4.3% of total)ival-sub: 3.0ms (3.3% of total)ival-add: 2.0ms (2.2% of total)ival-neg: 2.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x))) (patch #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 t) (/.f64 z x)) (patch (*.f64 (neg.f64 t) (/.f64 z x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ()) |
#s(alt (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) (patch (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t))) (patch #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t)) (patch (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (patch #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) x) (patch (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) (patch #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) z) t) (patch (/.f64 (/.f64 #s(literal -1 binary64) z) t) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) #s(approx (* (+ (* t z) y) (- (* t z) y)) (*.f64 (*.f64 (*.f64 z t) z) t))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) #s(approx (* (+ (* t z) y) (- (* t z) y)) (*.f64 (*.f64 (*.f64 z t) z) t))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 (fma.f64 t z y) x)) (patch (neg.f64 (*.f64 (fma.f64 t z y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 t z y) x) (patch (*.f64 (fma.f64 t z y) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 t z y) (patch (fma.f64 t z y) #<representation binary64>) () ()) |
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#s(alt (*.f64 (*.f64 (*.f64 z t) z) t) (patch (*.f64 (*.f64 (*.f64 z t) z) t) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (* -1 (* x (+ y (* t z)))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 (fma.f64 t z y) x)) (patch (neg.f64 (*.f64 (fma.f64 t z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* t z)))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 (fma.f64 t z y) x)) (patch (neg.f64 (*.f64 (fma.f64 t z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (+ y (* t z)))) (taylor -inf x) (#s(alt (neg.f64 (*.f64 (fma.f64 t z y) x)) (patch (neg.f64 (*.f64 (fma.f64 t z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* t z))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 t z y) x) (patch (*.f64 (fma.f64 t z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* t z))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 t z y) x) (patch (*.f64 (fma.f64 t z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* t z))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 t z y) x) (patch (*.f64 (fma.f64 t z y) x) #<representation binary64>) () ())) ()) |
#s(alt (* x (+ y (* t z))) (taylor -inf x) (#s(alt (*.f64 (fma.f64 t z y) x) (patch (*.f64 (fma.f64 t z y) x) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | t | @ | inf | ((/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (neg t) (/ z x)) (neg t) (/ x (- y (* z t))) (- y (* z t)) (* (neg t) z) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/ (+ (* x (/ y (* (* z t) z))) (/ x z)) (neg t)) (+ (* x (/ y (* (* z t) z))) (/ x z)) (/ x z) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ (/ -1 z) t) (/ -1 z) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (* (+ (* t z) y) (- (* t z) y)) (* (* (* z t) z) t)) |
| 3.0ms | x | @ | inf | ((/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (neg t) (/ z x)) (neg t) (/ x (- y (* z t))) (- y (* z t)) (* (neg t) z) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/ (+ (* x (/ y (* (* z t) z))) (/ x z)) (neg t)) (+ (* x (/ y (* (* z t) z))) (/ x z)) (/ x z) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ (/ -1 z) t) (/ -1 z) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (* (+ (* t z) y) (- (* t z) y)) (* (* (* z t) z) t)) |
| 3.0ms | x | @ | -inf | ((/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (neg t) (/ z x)) (neg t) (/ x (- y (* z t))) (- y (* z t)) (* (neg t) z) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/ (+ (* x (/ y (* (* z t) z))) (/ x z)) (neg t)) (+ (* x (/ y (* (* z t) z))) (/ x z)) (/ x z) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ (/ -1 z) t) (/ -1 z) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (* (+ (* t z) y) (- (* t z) y)) (* (* (* z t) z) t)) |
| 3.0ms | z | @ | 0 | ((/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (neg t) (/ z x)) (neg t) (/ x (- y (* z t))) (- y (* z t)) (* (neg t) z) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/ (+ (* x (/ y (* (* z t) z))) (/ x z)) (neg t)) (+ (* x (/ y (* (* z t) z))) (/ x z)) (/ x z) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ (/ -1 z) t) (/ -1 z) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (* (+ (* t z) y) (- (* t z) y)) (* (* (* z t) z) t)) |
| 3.0ms | y | @ | inf | ((/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (neg t) (/ z x)) (neg t) (/ x (- y (* z t))) (- y (* z t)) (* (neg t) z) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/ (+ (* x (/ y (* (* z t) z))) (/ x z)) (neg t)) (+ (* x (/ y (* (* z t) z))) (/ x z)) (/ x z) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ (/ -1 z) t) (/ -1 z) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (* (+ (* t z) y) (- (* t z) y)) (* (* (* z t) z) t)) |
| 1× | egg-herbie |
| 8 264× | lower-fma.f64 |
| 8 264× | lower-fma.f32 |
| 5 342× | lower-*.f64 |
| 5 342× | lower-*.f32 |
| 2 802× | lower-/.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 700 | 9625 |
| 1 | 2294 | 8936 |
| 2 | 7228 | 8782 |
| 0 | 8110 | 8429 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(/ y x) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
y |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* t (+ (/ (* t (* x (pow z 2))) (pow y 3)) (/ (* x z) (pow y 2)))) (/ x y)) |
(+ (* t (+ (* t (+ (/ (* t (* x (pow z 3))) (pow y 4)) (/ (* x (pow z 2)) (pow y 3)))) (/ (* x z) (pow y 2)))) (/ x y)) |
(* -1 (/ (* x y) (* (pow t 2) (pow z 2)))) |
(/ (+ (* -1 (/ (* t x) z)) (* -1 (/ (* x y) (pow z 2)))) (pow t 2)) |
(/ (+ (* -1 (/ (* t x) z)) (* -1 (/ (* x y) (pow z 2)))) (pow t 2)) |
(/ (+ (* -1 (/ (* t x) z)) (* -1 (/ (* x y) (pow z 2)))) (pow t 2)) |
(/ (* x y) (* t (pow z 2))) |
(/ (+ (/ (* t x) z) (/ (* x y) (pow z 2))) t) |
(/ (+ (/ (* t x) z) (/ (* x y) (pow z 2))) t) |
(/ (+ (/ (* t x) z) (/ (* x y) (pow z 2))) t) |
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(/ 1 y) |
(+ (/ 1 y) (/ (* t z) (pow y 2))) |
(+ (* t (- (/ (* t (pow z 2)) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ 1 y)) |
(+ (* t (- (* t (- (/ (* t (pow z 3)) (pow y 4)) (* -1 (/ (pow z 2) (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ 1 y)) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* t (+ (/ (* t (* x (pow z 2))) (pow y 3)) (/ (* x z) (pow y 2)))) (/ x y)) |
(+ (* t (+ (* t (+ (/ (* t (* x (pow z 3))) (pow y 4)) (/ (* x (pow z 2)) (pow y 3)))) (/ (* x z) (pow y 2)))) (/ x y)) |
(* -1 (* x y)) |
(- (* -1 (* t (* x z))) (* x y)) |
(- (* -1 (* t (* x z))) (* x y)) |
(- (* -1 (* t (* x z))) (* x y)) |
(* x y) |
(+ (* t (* x z)) (* x y)) |
(+ (* t (* x z)) (* x y)) |
(+ (* t (* x z)) (* x y)) |
y |
(+ y (* t z)) |
(+ y (* t z)) |
(+ y (* t z)) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* t (+ (* -1 (* y z)) (* y z)))) |
(+ (* -1 (pow y 2)) (* t (+ (* -1 (* y z)) (+ (* t (pow z 2)) (* y z))))) |
(+ (* -1 (pow y 2)) (* t (+ (* -1 (* y z)) (+ (* t (pow z 2)) (* y z))))) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (pow z 2)) |
(* -1 (/ x (* t z))) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) (/ (* x y) (* t (pow z 2)))) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 3)) (* (pow t 3) (pow z 4))))) (+ (/ (* x y) (* t (pow z 2))) (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) t) |
(* -1 (/ (* t z) x)) |
(* t (+ (* -1 (/ z x)) (/ y (* t x)))) |
(* t (+ (* -1 (/ z x)) (/ y (* t x)))) |
(* t (+ (* -1 (/ z x)) (/ y (* t x)))) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 (/ x (* t z))) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) (/ (* x y) (* t (pow z 2)))) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 3)) (* (pow t 3) (pow z 4))))) (+ (/ (* x y) (* t (pow z 2))) (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) t) |
(* -1 (* t z)) |
(* t (- (/ y t) z)) |
(* t (- (/ y t) z)) |
(* t (- (/ y t) z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (/ x (* t z))) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/ (+ (* -1 (/ x z)) (+ (* -1 (/ (* x y) (* t (pow z 2)))) (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3)))))) t) |
(/ (+ (* -1 (/ x z)) (+ (* -1 (/ (* x y) (* t (pow z 2)))) (+ (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3)))) (* -1 (/ (* x (pow y 3)) (* (pow t 3) (pow z 4))))))) t) |
(* -1 (/ x (* t z))) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/ x z) |
(+ (/ x z) (/ (* x y) (* t (pow z 2)))) |
(+ (/ x z) (/ (* x y) (* t (pow z 2)))) |
(+ (/ x z) (/ (* x y) (* t (pow z 2)))) |
(* -1 (/ x (* t z))) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) (/ (* x y) (* t (pow z 2)))) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 3)) (* (pow t 3) (pow z 4))))) (+ (/ (* x y) (* t (pow z 2))) (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) t) |
(/ -1 (* t z)) |
(/ (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z)) t) |
(/ (- (* -1 (/ (pow y 2) (* (pow t 2) (pow z 3)))) (+ (/ 1 z) (/ y (* t (pow z 2))))) t) |
(/ (- (* -1 (/ (pow y 3) (* (pow t 3) (pow z 4)))) (+ (/ 1 z) (+ (/ y (* t (pow z 2))) (/ (pow y 2) (* (pow t 2) (pow z 3)))))) t) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(* -1 (/ x (* t z))) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/ (+ (* -1 (/ x z)) (+ (* -1 (/ (* x y) (* t (pow z 2)))) (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3)))))) t) |
(/ (+ (* -1 (/ x z)) (+ (* -1 (/ (* x y) (* t (pow z 2)))) (+ (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3)))) (* -1 (/ (* x (pow y 3)) (* (pow t 3) (pow z 4))))))) t) |
(* -1 (* t (* x z))) |
(* t (- (* -1 (/ (* x y) t)) (* x z))) |
(* t (- (* -1 (/ (* x y) t)) (* x z))) |
(* t (- (* -1 (/ (* x y) t)) (* x z))) |
(* t (* x z)) |
(* t (+ (* x z) (/ (* x y) t))) |
(* t (+ (* x z) (/ (* x y) t))) |
(* t (+ (* x z) (/ (* x y) t))) |
(* t z) |
(* t (+ z (/ y t))) |
(* t (+ z (/ y t))) |
(* t (+ z (/ y t))) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (+ (* -1 (/ (* y z) t)) (+ (/ (* y z) t) (pow z 2)))) |
(* (pow t 2) (+ (* -1 (/ (* y z) t)) (+ (* -1 (/ (pow y 2) (pow t 2))) (+ (/ (* y z) t) (pow z 2))))) |
(* (pow t 2) (+ (* -1 (/ (* y z) t)) (+ (* -1 (/ (pow y 2) (pow t 2))) (+ (/ (* y z) t) (pow z 2))))) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (pow z 2)) |
(* -1 (/ x (* t z))) |
(* -1 (/ (+ (/ x z) (/ (* x y) (* t (pow z 2)))) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow y 2)) (* t (pow z 3)))) (/ (* x y) (pow z 2))) t)) (/ x z)) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) (* t (pow z 4))) (* -1 (/ (* x (pow y 2)) (pow z 3)))) t)) (/ (* x y) (pow z 2))) t)) (/ x z)) t)) |
(* -1 (/ (* t z) x)) |
(* -1 (* t (+ (* -1 (/ y (* t x))) (/ z x)))) |
(* -1 (* t (+ (* -1 (/ y (* t x))) (/ z x)))) |
(* -1 (* t (+ (* -1 (/ y (* t x))) (/ z x)))) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 (/ x (* t z))) |
(* -1 (/ (+ (/ x z) (/ (* x y) (* t (pow z 2)))) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow y 2)) (* t (pow z 3)))) (/ (* x y) (pow z 2))) t)) (/ x z)) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) (* t (pow z 4))) (* -1 (/ (* x (pow y 2)) (pow z 3)))) t)) (/ (* x y) (pow z 2))) t)) (/ x z)) t)) |
(* -1 (* t z)) |
(* -1 (* t (- (* -1 (/ y t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ y t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ y t)) (* -1 z)))) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (/ x (* t z))) |
(* -1 (/ (+ (/ x z) (/ (* x y) (* t (pow z 2)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x y) (pow z 2))) (* -1 (/ (* x (pow y 2)) (* t (pow z 3))))) t)) (/ x z)) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x y) (pow z 2))) (* -1 (/ (+ (/ (* x (pow y 2)) (pow z 3)) (/ (* x (pow y 3)) (* t (pow z 4)))) t))) t)) (/ x z)) t)) |
(* -1 (/ x (* t z))) |
(* -1 (/ (+ (/ x z) (/ (* x y) (* t (pow z 2)))) t)) |
(* -1 (/ (+ (/ x z) (/ (* x y) (* t (pow z 2)))) t)) |
(* -1 (/ (+ (/ x z) (/ (* x y) (* t (pow z 2)))) t)) |
(/ x z) |
(+ (/ x z) (/ (* x y) (* t (pow z 2)))) |
(+ (/ x z) (/ (* x y) (* t (pow z 2)))) |
(+ (/ x z) (/ (* x y) (* t (pow z 2)))) |
(* -1 (/ x (* t z))) |
(* -1 (/ (+ (/ x z) (/ (* x y) (* t (pow z 2)))) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow y 2)) (* t (pow z 3)))) (/ (* x y) (pow z 2))) t)) (/ x z)) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) (* t (pow z 4))) (* -1 (/ (* x (pow y 2)) (pow z 3)))) t)) (/ (* x y) (pow z 2))) t)) (/ x z)) t)) |
(/ -1 (* t z)) |
(* -1 (/ (+ (/ 1 z) (/ y (* t (pow z 2)))) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (pow y 2) (* t (pow z 3)))) (/ y (pow z 2))) t)) (/ 1 z)) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (pow y 3) (* t (pow z 4))) (* -1 (/ (pow y 2) (pow z 3)))) t)) (/ y (pow z 2))) t)) (/ 1 z)) t)) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(* -1 (/ x (* t z))) |
(* -1 (/ (+ (/ x z) (/ (* x y) (* t (pow z 2)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x y) (pow z 2))) (* -1 (/ (* x (pow y 2)) (* t (pow z 3))))) t)) (/ x z)) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -1 (/ (* x y) (pow z 2))) (* -1 (/ (+ (/ (* x (pow y 2)) (pow z 3)) (/ (* x (pow y 3)) (* t (pow z 4)))) t))) t)) (/ x z)) t)) |
(* -1 (* t (* x z))) |
(* -1 (* t (- (/ (* x y) t) (* -1 (* x z))))) |
(* -1 (* t (- (/ (* x y) t) (* -1 (* x z))))) |
(* -1 (* t (- (/ (* x y) t) (* -1 (* x z))))) |
(* t (* x z)) |
(* -1 (* t (+ (* -1 (* x z)) (* -1 (/ (* x y) t))))) |
(* -1 (* t (+ (* -1 (* x z)) (* -1 (/ (* x y) t))))) |
(* -1 (* t (+ (* -1 (* x z)) (* -1 (/ (* x y) t))))) |
(* t z) |
(* -1 (* t (+ (* -1 z) (* -1 (/ y t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ y t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ y t))))) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (+ (* -1 (/ (+ (* -1 (* y z)) (* y z)) t)) (pow z 2))) |
(* (pow t 2) (+ (* -1 (/ (+ (* -1 (* y z)) (+ (* y z) (/ (pow y 2) t))) t)) (pow z 2))) |
(* (pow t 2) (+ (* -1 (/ (+ (* -1 (* y z)) (+ (* y z) (/ (pow y 2) t))) t)) (pow z 2))) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (pow z 2)) |
(* (pow t 2) (pow z 2)) |
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* z (- (/ (* (pow t 2) (* x z)) (pow y 3)) (* -1 (/ (* t x) (pow y 2))))) (/ x y)) |
(+ (* z (- (* z (- (/ (* (pow t 3) (* x z)) (pow y 4)) (* -1 (/ (* (pow t 2) x) (pow y 3))))) (* -1 (/ (* t x) (pow y 2))))) (/ x y)) |
(/ y x) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* z (- (/ (* (pow t 2) (* x z)) (pow y 3)) (* -1 (/ (* t x) (pow y 2))))) (/ x y)) |
(+ (* z (- (* z (- (/ (* (pow t 3) (* x z)) (pow y 4)) (* -1 (/ (* (pow t 2) x) (pow y 3))))) (* -1 (/ (* t x) (pow y 2))))) (/ x y)) |
y |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* z (+ (/ (* t x) (pow y 2)) (/ (* (pow t 2) (* x z)) (pow y 3)))) (/ x y)) |
(+ (* z (+ (* z (+ (/ (* (pow t 2) x) (pow y 3)) (/ (* (pow t 3) (* x z)) (pow y 4)))) (/ (* t x) (pow y 2)))) (/ x y)) |
(* -1 (/ (* x y) (* (pow t 2) (pow z 2)))) |
(/ (+ (* -1 (/ (* x y) (pow t 2))) (* -1 (/ (* x z) t))) (pow z 2)) |
(/ (+ (* -1 (/ (* x y) (pow t 2))) (* -1 (/ (* x z) t))) (pow z 2)) |
(/ (+ (* -1 (/ (* x y) (pow t 2))) (* -1 (/ (* x z) t))) (pow z 2)) |
(/ (* x y) (* t (pow z 2))) |
(/ (+ (* x z) (/ (* x y) t)) (pow z 2)) |
(/ (+ (* x z) (/ (* x y) t)) (pow z 2)) |
(/ (+ (* x z) (/ (* x y) t)) (pow z 2)) |
(/ x z) |
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(* -1 (* y (+ (* -1 (/ x (* t (pow z 2)))) (* -1 (/ x (* y z)))))) |
(* -1 (* y (+ (* -1 (/ x (* t (pow z 2)))) (* -1 (/ x (* y z)))))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* t (* x z)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* t (* x z)) (/ (* (pow t 2) (* x (pow z 2))) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow t 2) (* x (pow z 2)))) (* -1 (/ (* (pow t 3) (* x (pow z 3))) y))) y)) (* t (* x z))) y))) y)) |
(/ 1 y) |
(* -1 (/ (- (* -1 (/ (* t z) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow t 2) (pow z 2)) y) (* -1 (* t z))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow t 3) (pow z 3)) y)) (* (pow t 2) (pow z 2))) y)) (* -1 (* t z))) y)) 1) y)) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* t (* x z)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* t (* x z)) (/ (* (pow t 2) (* x (pow z 2))) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow t 2) (* x (pow z 2)))) (* -1 (/ (* (pow t 3) (* x (pow z 3))) y))) y)) (* t (* x z))) y))) y)) |
(* -1 (* x y)) |
(* -1 (* y (- (/ (* t (* x z)) y) (* -1 x)))) |
(* -1 (* y (- (/ (* t (* x z)) y) (* -1 x)))) |
(* -1 (* y (- (/ (* t (* x z)) y) (* -1 x)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t (* x z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t (* x z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t (* x z)) y))))) |
y |
(* -1 (* y (- (* -1 (/ (* t z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (* t z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (* t z) y)) 1))) |
(* -1 (pow y 2)) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (* t z)) (* t z)) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (* t z)) (+ (* -1 (/ (* (pow t 2) (pow z 2)) y)) (* t z))) y)) 1)) |
(* (pow y 2) (- (* -1 (/ (+ (* -1 (* t z)) (+ (* -1 (/ (* (pow t 2) (pow z 2)) y)) (* t z))) y)) 1)) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ (* x (+ (/ 1 z) (/ y (* t (pow z 2))))) t)) |
(* -1 (/ (* x (+ (/ 1 z) (/ y (* t (pow z 2))))) t)) |
(* -1 (/ (* x (+ (/ 1 z) (/ y (* t (pow z 2))))) t)) |
(* -1 (/ (* x (+ (/ 1 z) (/ y (* t (pow z 2))))) t)) |
(* x (+ (/ 1 z) (/ y (* t (pow z 2))))) |
(* x (+ (/ 1 z) (/ y (* t (pow z 2))))) |
(* x (+ (/ 1 z) (/ y (* t (pow z 2))))) |
(* x (+ (/ 1 z) (/ y (* t (pow z 2))))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ (* x (+ (/ 1 z) (/ y (* t (pow z 2))))) t)) |
(* -1 (/ (* x (+ (/ 1 z) (/ y (* t (pow z 2))))) t)) |
(* -1 (/ (* x (+ (/ 1 z) (/ y (* t (pow z 2))))) t)) |
(* -1 (/ (* x (+ (/ 1 z) (/ y (* t (pow z 2))))) t)) |
(* x (+ (/ 1 z) (/ y (* t (pow z 2))))) |
(* x (+ (/ 1 z) (/ y (* t (pow z 2))))) |
(* x (+ (/ 1 z) (/ y (* t (pow z 2))))) |
(* x (+ (/ 1 z) (/ y (* t (pow z 2))))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(/ (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z))) t) |
(/ (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z))) t) |
(/ (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z))) t) |
(/ (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z))) t) |
(* -1 (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z)))) |
(* -1 (* x (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
| Outputs |
|---|
(/ x y) |
(/.f64 x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(fma.f64 (/.f64 (*.f64 t x) y) (/.f64 z y) (/.f64 x y)) |
(+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(fma.f64 (fma.f64 (/.f64 t y) (/.f64 x y) (*.f64 (*.f64 x (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (*.f64 t t))) z (/.f64 x y)) |
(+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 t (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 z z) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) t (*.f64 (/.f64 z y) (/.f64 x y))) t (/.f64 x y)) |
(/ y x) |
(/.f64 y x) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(/.f64 (fma.f64 (neg.f64 z) t y) x) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(/.f64 (fma.f64 (neg.f64 z) t y) x) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(/.f64 (fma.f64 (neg.f64 z) t y) x) |
(* -1 (/ (* t z) x)) |
(*.f64 (/.f64 (neg.f64 t) x) z) |
(* -1 (/ (* t z) x)) |
(*.f64 (/.f64 (neg.f64 t) x) z) |
(* -1 (/ (* t z) x)) |
(*.f64 (/.f64 (neg.f64 t) x) z) |
(* -1 (/ (* t z) x)) |
(*.f64 (/.f64 (neg.f64 t) x) z) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(/ x y) |
(/.f64 x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(fma.f64 (/.f64 (*.f64 t x) y) (/.f64 z y) (/.f64 x y)) |
(+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(fma.f64 (fma.f64 (/.f64 t y) (/.f64 x y) (*.f64 (*.f64 x (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (*.f64 t t))) z (/.f64 x y)) |
(+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 t (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 z z) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) t (*.f64 (/.f64 z y) (/.f64 x y))) t (/.f64 x y)) |
y |
(+ y (* -1 (* t z))) |
(fma.f64 (neg.f64 z) t y) |
(+ y (* -1 (* t z))) |
(fma.f64 (neg.f64 z) t y) |
(+ y (* -1 (* t z))) |
(fma.f64 (neg.f64 z) t y) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(/ x y) |
(/.f64 x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(fma.f64 (/.f64 (*.f64 t x) y) (/.f64 z y) (/.f64 x y)) |
(+ (* t (+ (/ (* t (* x (pow z 2))) (pow y 3)) (/ (* x z) (pow y 2)))) (/ x y)) |
(fma.f64 (fma.f64 (/.f64 t y) (/.f64 x y) (*.f64 (*.f64 x (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (*.f64 t t))) z (/.f64 x y)) |
(+ (* t (+ (* t (+ (/ (* t (* x (pow z 3))) (pow y 4)) (/ (* x (pow z 2)) (pow y 3)))) (/ (* x z) (pow y 2)))) (/ x y)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 t (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 z z) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) t (*.f64 (/.f64 z y) (/.f64 x y))) t (/.f64 x y)) |
(* -1 (/ (* x y) (* (pow t 2) (pow z 2)))) |
(*.f64 (/.f64 (/.f64 x t) t) (/.f64 (neg.f64 y) (*.f64 z z))) |
(/ (+ (* -1 (/ (* t x) z)) (* -1 (/ (* x y) (pow z 2)))) (pow t 2)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 y z) (/.f64 x z) (/.f64 (*.f64 t x) z))) (*.f64 t t)) |
(/ (+ (* -1 (/ (* t x) z)) (* -1 (/ (* x y) (pow z 2)))) (pow t 2)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 y z) (/.f64 x z) (/.f64 (*.f64 t x) z))) (*.f64 t t)) |
(/ (+ (* -1 (/ (* t x) z)) (* -1 (/ (* x y) (pow z 2)))) (pow t 2)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 y z) (/.f64 x z) (/.f64 (*.f64 t x) z))) (*.f64 t t)) |
(/ (* x y) (* t (pow z 2))) |
(*.f64 (/.f64 x (*.f64 z z)) (/.f64 y t)) |
(/ (+ (/ (* t x) z) (/ (* x y) (pow z 2))) t) |
(/.f64 (fma.f64 (/.f64 y z) (/.f64 x z) (/.f64 (*.f64 t x) z)) t) |
(/ (+ (/ (* t x) z) (/ (* x y) (pow z 2))) t) |
(/.f64 (fma.f64 (/.f64 y z) (/.f64 x z) (/.f64 (*.f64 t x) z)) t) |
(/ (+ (/ (* t x) z) (/ (* x y) (pow z 2))) t) |
(/.f64 (fma.f64 (/.f64 y z) (/.f64 x z) (/.f64 (*.f64 t x) z)) t) |
(/ x y) |
(/.f64 x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(fma.f64 (/.f64 (*.f64 t x) y) (/.f64 z y) (/.f64 x y)) |
(+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(fma.f64 (fma.f64 (/.f64 t y) (/.f64 x y) (*.f64 (*.f64 x (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (*.f64 t t))) z (/.f64 x y)) |
(+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 t (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 z z) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) t (*.f64 (/.f64 z y) (/.f64 x y))) t (/.f64 x y)) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(+ (/ 1 y) (/ (* t z) (pow y 2))) |
(fma.f64 (/.f64 t y) (/.f64 z y) (/.f64 #s(literal 1 binary64) y)) |
(+ (* t (- (/ (* t (pow z 2)) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ 1 y)) |
(fma.f64 (fma.f64 (*.f64 z z) (/.f64 t (pow.f64 y #s(literal 3 binary64))) (/.f64 z (*.f64 y y))) t (/.f64 #s(literal 1 binary64) y)) |
(+ (* t (- (* t (- (/ (* t (pow z 3)) (pow y 4)) (* -1 (/ (pow z 2) (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ 1 y)) |
(fma.f64 (fma.f64 (fma.f64 (pow.f64 z #s(literal 3 binary64)) (/.f64 t (pow.f64 y #s(literal 4 binary64))) (*.f64 z (/.f64 z (pow.f64 y #s(literal 3 binary64))))) t (/.f64 z (*.f64 y y))) t (/.f64 #s(literal 1 binary64) y)) |
(/ -1 (* t z)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) t) |
(/ -1 (* t z)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) t) |
(/ -1 (* t z)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) t) |
(/ -1 (* t z)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) t) |
(/ x y) |
(/.f64 x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(fma.f64 (/.f64 (*.f64 t x) y) (/.f64 z y) (/.f64 x y)) |
(+ (* t (+ (/ (* t (* x (pow z 2))) (pow y 3)) (/ (* x z) (pow y 2)))) (/ x y)) |
(fma.f64 (fma.f64 (/.f64 t y) (/.f64 x y) (*.f64 (*.f64 x (/.f64 z (pow.f64 y #s(literal 3 binary64)))) (*.f64 t t))) z (/.f64 x y)) |
(+ (* t (+ (* t (+ (/ (* t (* x (pow z 3))) (pow y 4)) (/ (* x (pow z 2)) (pow y 3)))) (/ (* x z) (pow y 2)))) (/ x y)) |
(fma.f64 (fma.f64 (fma.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) x) (/.f64 t (pow.f64 y #s(literal 4 binary64))) (*.f64 (*.f64 z z) (/.f64 x (pow.f64 y #s(literal 3 binary64))))) t (*.f64 (/.f64 z y) (/.f64 x y))) t (/.f64 x y)) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(- (* -1 (* t (* x z))) (* x y)) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(- (* -1 (* t (* x z))) (* x y)) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(- (* -1 (* t (* x z))) (* x y)) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(* x y) |
(*.f64 y x) |
(+ (* t (* x z)) (* x y)) |
(*.f64 (fma.f64 z t y) x) |
(+ (* t (* x z)) (* x y)) |
(*.f64 (fma.f64 z t y) x) |
(+ (* t (* x z)) (* x y)) |
(*.f64 (fma.f64 z t y) x) |
y |
(+ y (* t z)) |
(fma.f64 z t y) |
(+ y (* t z)) |
(fma.f64 z t y) |
(+ y (* t z)) |
(fma.f64 z t y) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(+ (* -1 (pow y 2)) (* t (+ (* -1 (* y z)) (* y z)))) |
(*.f64 (neg.f64 y) y) |
(+ (* -1 (pow y 2)) (* t (+ (* -1 (* y z)) (+ (* t (pow z 2)) (* y z))))) |
(fma.f64 (neg.f64 y) y (*.f64 (*.f64 (*.f64 t t) z) z)) |
(+ (* -1 (pow y 2)) (* t (+ (* -1 (* y z)) (+ (* t (pow z 2)) (* y z))))) |
(fma.f64 (neg.f64 y) y (*.f64 (*.f64 (*.f64 t t) z) z)) |
(* (pow t 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 t t) z) z) |
(* (pow t 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 t t) z) z) |
(* (pow t 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 t t) z) z) |
(* (pow t 2) (pow z 2)) |
(*.f64 (*.f64 (*.f64 t t) z) z) |
(* -1 (/ x (* t z))) |
(/.f64 x (*.f64 (neg.f64 t) z)) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 y z) (/.f64 x t) x)) z) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) (/ (* x y) (* t (pow z 2)))) t) |
(/.f64 (-.f64 (/.f64 (neg.f64 (*.f64 x (+.f64 (/.f64 y (*.f64 z z)) (*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 y t))))) t) (/.f64 x z)) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 3)) (* (pow t 3) (pow z 4))))) (+ (/ (* x y) (* t (pow z 2))) (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) t) |
(/.f64 (fma.f64 (*.f64 x (fma.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 y t) t) (/.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))))) #s(literal -1 binary64) (/.f64 (neg.f64 (fma.f64 (/.f64 y z) (/.f64 x t) x)) z)) t) |
(* -1 (/ (* t z) x)) |
(*.f64 (/.f64 (neg.f64 t) x) z) |
(* t (+ (* -1 (/ z x)) (/ y (* t x)))) |
(*.f64 (-.f64 (/.f64 (/.f64 y x) t) (/.f64 z x)) t) |
(* t (+ (* -1 (/ z x)) (/ y (* t x)))) |
(*.f64 (-.f64 (/.f64 (/.f64 y x) t) (/.f64 z x)) t) |
(* t (+ (* -1 (/ z x)) (/ y (* t x)))) |
(*.f64 (-.f64 (/.f64 (/.f64 y x) t) (/.f64 z x)) t) |
(* -1 (/ (* t z) x)) |
(*.f64 (/.f64 (neg.f64 t) x) z) |
(* -1 (/ (* t z) x)) |
(*.f64 (/.f64 (neg.f64 t) x) z) |
(* -1 (/ (* t z) x)) |
(*.f64 (/.f64 (neg.f64 t) x) z) |
(* -1 (/ (* t z) x)) |
(*.f64 (/.f64 (neg.f64 t) x) z) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 (/ x (* t z))) |
(/.f64 x (*.f64 (neg.f64 t) z)) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/.f64 (/.f64 (neg.f64 (fma.f64 (/.f64 y z) (/.f64 x t) x)) z) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) (/ (* x y) (* t (pow z 2)))) t) |
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(* x (+ y (* t z))) |
(*.f64 (fma.f64 z t y) x) |
| 5 782× | lower-/.f32 |
| 5 766× | lower-/.f64 |
| 4 012× | lower-*.f32 |
| 3 998× | lower-*.f64 |
| 3 258× | lower-fma.f32 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 47 | 247 |
| 0 | 67 | 247 |
| 1 | 243 | 231 |
| 2 | 1518 | 229 |
| 0 | 8730 | 226 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x)))) |
#s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x))) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(neg.f64 t) |
(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) |
#s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)) |
(*.f64 (neg.f64 t) z) |
#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t))) |
(/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t)) |
#s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) |
(/.f64 x z) |
(*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) x) |
#s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) t) |
(/.f64 #s(literal -1 binary64) z) |
(/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) #s(approx (* (+ (* t z) y) (- (* t z) y)) (*.f64 (*.f64 (*.f64 z t) z) t))) |
(neg.f64 (*.f64 (fma.f64 t z y) x)) |
(*.f64 (fma.f64 t z y) x) |
(fma.f64 t z y) |
#s(approx (* (+ (* t z) y) (- (* t z) y)) (*.f64 (*.f64 (*.f64 z t) z) t)) |
(*.f64 (*.f64 (*.f64 z t) z) t) |
| Outputs |
|---|
(*.f64 (pow.f64 #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t))) #s(literal -1/2 binary64)) (pow.f64 #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t))) #s(literal -1/2 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(literal -1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t))))) |
(*.f64 (pow.f64 #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t))) #s(literal -1 binary64)) #s(literal 1 binary64)) |
(*.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t))) #s(literal -1 binary64))) |
(pow.f64 (exp.f64 (log.f64 #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t))))) #s(literal -1 binary64)) |
(pow.f64 (*.f64 #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t))) #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t)))) #s(literal -1/2 binary64)) |
(pow.f64 (pow.f64 #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(pow.f64 (neg.f64 (neg.f64 #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t))))) #s(literal -1 binary64)) |
(pow.f64 #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (neg.f64 (neg.f64 #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t))))))) |
(/.f64 #s(literal -1 binary64) (neg.f64 #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t))))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t)))))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t)))) |
(neg.f64 (/.f64 #s(literal -1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t))))) |
(exp.f64 (*.f64 (log.f64 #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t)))) #s(literal -1 binary64))) |
(*.f64 #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t))) #s(literal 1 binary64)) |
(pow.f64 (pow.f64 #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t))) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(pow.f64 #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t))) #s(literal 1 binary64)) |
#s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t))) |
(/.f64 (neg.f64 (neg.f64 #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t))))) #s(literal 1 binary64)) |
(/.f64 (neg.f64 #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t)))) #s(literal -1 binary64)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t))) #s(literal -1 binary64)))) |
(/.f64 #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t))) #s(literal 1 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t))) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t))) #s(literal -1 binary64))) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t))) #s(literal -1 binary64))) |
(exp.f64 (neg.f64 (*.f64 (log.f64 #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t)))) #s(literal -1 binary64)))) |
(*.f64 (*.f64 (/.f64 z x) #s(literal -1 binary64)) t) |
(*.f64 #s(literal -1 binary64) (*.f64 (/.f64 z x) t)) |
(*.f64 (*.f64 (neg.f64 t) z) (pow.f64 x #s(literal -1 binary64))) |
(*.f64 (/.f64 z x) (neg.f64 t)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(*.f64 z (/.f64 (neg.f64 t) x)) |
(*.f64 z (*.f64 (pow.f64 x #s(literal -1 binary64)) (neg.f64 t))) |
(*.f64 t (neg.f64 (/.f64 z x))) |
(pow.f64 (/.f64 x (*.f64 (neg.f64 t) z)) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 (/.f64 z x) t) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 (/.f64 z x) t) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) t))))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 z) (neg.f64 t))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 #s(literal 1 binary64) (neg.f64 t))) (neg.f64 (/.f64 x z))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 t) (neg.f64 z))) (neg.f64 (neg.f64 x))) |
(/.f64 (neg.f64 (*.f64 (neg.f64 t) #s(literal 1 binary64))) (neg.f64 (/.f64 x z))) |
(/.f64 (neg.f64 (neg.f64 (*.f64 (neg.f64 t) z))) (neg.f64 (neg.f64 x))) |
(/.f64 (*.f64 (neg.f64 z) (neg.f64 t)) (neg.f64 x)) |
(/.f64 (*.f64 #s(literal 1 binary64) (neg.f64 t)) (/.f64 x z)) |
(/.f64 (*.f64 (neg.f64 t) (neg.f64 z)) (neg.f64 x)) |
(/.f64 (*.f64 (neg.f64 t) #s(literal 1 binary64)) (/.f64 x z)) |
(/.f64 (neg.f64 (*.f64 (neg.f64 t) z)) (neg.f64 x)) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 x (*.f64 (neg.f64 t) z)))) |
(/.f64 (*.f64 (neg.f64 t) z) x) |
(/.f64 (neg.f64 t) (/.f64 x z)) |
(/.f64 t (neg.f64 (/.f64 x z))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 z) (neg.f64 t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (*.f64 #s(literal 1 binary64) (neg.f64 t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 x) (*.f64 (neg.f64 t) (neg.f64 z)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (*.f64 (neg.f64 t) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x z) (neg.f64 t))) |
(/.f64 #s(literal 1 binary64) (/.f64 (/.f64 x (*.f64 (neg.f64 t) z)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (/.f64 x (*.f64 (neg.f64 t) z))) |
(neg.f64 (*.f64 (/.f64 z x) t)) |
(-.f64 (/.f64 #s(literal 0 binary64) x) (*.f64 (/.f64 z x) t)) |
(-.f64 (/.f64 #s(literal 0 binary64) (/.f64 x z)) (*.f64 (/.f64 z x) t)) |
(-.f64 #s(literal 0 binary64) (*.f64 (/.f64 z x) t)) |
(*.f64 #s(literal -1 binary64) t) |
(*.f64 t #s(literal -1 binary64)) |
(/.f64 (+.f64 #s(literal 0 binary64) (pow.f64 (neg.f64 t) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (-.f64 (*.f64 t t) (*.f64 #s(literal 0 binary64) (neg.f64 t))))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t))) (neg.f64 (+.f64 #s(literal 0 binary64) t))) |
(/.f64 (neg.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 3 binary64)))) (neg.f64 (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 t t)) (+.f64 #s(literal 0 binary64) t)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) t) (-.f64 #s(literal 0 binary64) (*.f64 t t)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))) (-.f64 #s(literal 0 binary64) (pow.f64 t #s(literal 3 binary64))))) |
(neg.f64 t) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) t)) (/.f64 (*.f64 t t) (+.f64 #s(literal 0 binary64) t))) |
(-.f64 (/.f64 #s(literal 0 binary64) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t)))) (/.f64 (pow.f64 t #s(literal 3 binary64)) (+.f64 #s(literal 0 binary64) (fma.f64 t t (*.f64 #s(literal 0 binary64) t))))) |
(-.f64 #s(literal 0 binary64) t) |
(+.f64 #s(literal 0 binary64) (neg.f64 t)) |
(*.f64 (pow.f64 #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)) #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)) #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (pow.f64 (neg.f64 #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) #s(literal -1 binary64))) |
(*.f64 x (pow.f64 #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)) #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)))) |
(pow.f64 (/.f64 #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)) x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)))) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)))))) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) |
(/.f64 (neg.f64 x) (neg.f64 #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)) x))) |
(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)) (*.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)) x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)) x)) |
(neg.f64 (/.f64 (neg.f64 x) #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)))) |
(neg.f64 (/.f64 x (neg.f64 #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)))) (/.f64 x (neg.f64 #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))))) |
(exp.f64 (*.f64 (log.f64 (/.f64 #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)) x)) #s(literal -1 binary64))) |
#s(approx (- y (* z t)) (*.f64 (neg.f64 t) z)) |
(*.f64 (*.f64 z #s(literal -1 binary64)) t) |
(*.f64 (neg.f64 z) t) |
(*.f64 #s(literal -1 binary64) (*.f64 z t)) |
(*.f64 (neg.f64 t) z) |
(*.f64 z (neg.f64 t)) |
(*.f64 t (neg.f64 z)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (*.f64 z t) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (+.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (*.f64 #s(literal 0 binary64) (*.f64 z t))))) |
(neg.f64 (*.f64 z t)) |
(-.f64 #s(literal 0 binary64) (*.f64 z t)) |
#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) (pow.f64 (pow.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z))) |
(*.f64 (neg.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z))) (pow.f64 t #s(literal -1 binary64))) |
(*.f64 #s(literal -1 binary64) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) t)) |
(*.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (/.f64 #s(literal -1 binary64) t)) |
(*.f64 #s(literal 1 binary64) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t))) |
(pow.f64 (/.f64 (neg.f64 t) #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z))) #s(literal -1 binary64)) |
(/.f64 (-.f64 #s(literal 0 binary64) (pow.f64 (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) t) #s(literal 3 binary64))) (+.f64 #s(literal 0 binary64) (fma.f64 (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) t) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) t) (*.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) t))))) |
(/.f64 (neg.f64 (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) #s(literal -1 binary64))) (neg.f64 t)) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) #s(literal 1 binary64))) t) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z))))) t) |
(/.f64 (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) #s(literal -1 binary64)) t) |
(/.f64 (*.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) #s(literal 1 binary64)) (neg.f64 t)) |
(/.f64 (neg.f64 (neg.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)))) (neg.f64 t)) |
(/.f64 (neg.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z))) t) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 (neg.f64 t) #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z))))) |
(/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t)) |
(/.f64 #s(literal 1 binary64) (/.f64 t (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) #s(literal -1 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) (*.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 (neg.f64 t) #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (neg.f64 t) #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)))) |
(neg.f64 (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) t)) |
(-.f64 (/.f64 #s(literal 0 binary64) t) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) t)) |
(-.f64 #s(literal 0 binary64) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) t)) |
(exp.f64 (*.f64 (log.f64 (/.f64 (neg.f64 t) #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)))) #s(literal -1 binary64))) |
#s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) |
(*.f64 (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64)) (pow.f64 z #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 (pow.f64 x #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (pow.f64 z #s(literal -1 binary64)) x) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) z)) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 (pow.f64 (neg.f64 x) #s(literal -1 binary64)) #s(literal -1 binary64))) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 x)) |
(*.f64 x (pow.f64 z #s(literal -1 binary64))) |
(*.f64 #s(literal 1 binary64) (/.f64 x z)) |
(pow.f64 (/.f64 x z) #s(literal 1 binary64)) |
(pow.f64 (/.f64 z x) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (*.f64 x #s(literal 1 binary64))) (neg.f64 z)) |
(/.f64 (neg.f64 (neg.f64 (neg.f64 x))) (neg.f64 (neg.f64 (neg.f64 z)))) |
(/.f64 (neg.f64 (/.f64 x z)) #s(literal -1 binary64)) |
(/.f64 (neg.f64 (neg.f64 x)) (neg.f64 (neg.f64 z))) |
(/.f64 (*.f64 x #s(literal 1 binary64)) z) |
(/.f64 (pow.f64 z #s(literal -1 binary64)) (pow.f64 x #s(literal -1 binary64))) |
(/.f64 (neg.f64 x) (neg.f64 z)) |
(/.f64 (/.f64 #s(literal -1 binary64) z) (neg.f64 (pow.f64 x #s(literal -1 binary64)))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (/.f64 z x))) |
(/.f64 (/.f64 x z) #s(literal 1 binary64)) |
(/.f64 x z) |
(/.f64 #s(literal 1 binary64) (/.f64 z (*.f64 x #s(literal 1 binary64)))) |
(/.f64 #s(literal 1 binary64) (neg.f64 (neg.f64 (/.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 z x)) |
(neg.f64 (/.f64 (neg.f64 x) z)) |
(neg.f64 (/.f64 x (neg.f64 z))) |
(-.f64 (/.f64 #s(literal 0 binary64) (pow.f64 x #s(literal -1 binary64))) (/.f64 (/.f64 #s(literal -1 binary64) z) (pow.f64 x #s(literal -1 binary64)))) |
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(/.f64 (+.f64 (pow.f64 (*.f64 (*.f64 z t) x) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 (*.f64 z t) x) (*.f64 (*.f64 z t) x) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 (*.f64 z t) x) (*.f64 x y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x (*.f64 z t)) #s(literal 3 binary64)) (pow.f64 (*.f64 x y) #s(literal 3 binary64))) (fma.f64 (*.f64 x (*.f64 z t)) (*.f64 x (*.f64 z t)) (-.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (*.f64 (*.f64 x (*.f64 z t)) (*.f64 x y))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 (*.f64 z t) x) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 (*.f64 z t) x) (*.f64 (*.f64 z t) x)) (*.f64 (*.f64 x y) (*.f64 (*.f64 z t) x))))) |
(/.f64 (+.f64 (pow.f64 (*.f64 x y) #s(literal 3 binary64)) (pow.f64 (*.f64 x (*.f64 z t)) #s(literal 3 binary64))) (+.f64 (pow.f64 (*.f64 x y) #s(literal 2 binary64)) (-.f64 (*.f64 (*.f64 x (*.f64 z t)) (*.f64 x (*.f64 z t))) (*.f64 (*.f64 x y) (*.f64 x (*.f64 z t)))))) |
(/.f64 (neg.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (*.f64 y y)) x)) (neg.f64 (-.f64 (*.f64 z t) y))) |
(/.f64 (neg.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))) x)) (neg.f64 (fma.f64 y (-.f64 y (*.f64 z t)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (-.f64 (*.f64 z t) y))) |
(/.f64 (neg.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 z t)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))))) |
(/.f64 (*.f64 (-.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (*.f64 y y)) x) (-.f64 (*.f64 z t) y)) |
(/.f64 (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))) x) (fma.f64 y (-.f64 y (*.f64 z t)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) |
(/.f64 (*.f64 x (-.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (*.f64 y y))) (-.f64 (*.f64 z t) y)) |
(/.f64 (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (fma.f64 y (-.f64 y (*.f64 z t)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z t) y) (*.f64 (-.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (*.f64 y y)) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 z t)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))) x))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 (*.f64 z t) y) (*.f64 x (-.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (*.f64 y y))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y (-.f64 y (*.f64 z t)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (*.f64 x (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))))) |
(neg.f64 (*.f64 (neg.f64 x) (fma.f64 z t y))) |
(fma.f64 x (*.f64 z t) (*.f64 x y)) |
(fma.f64 x y (*.f64 (*.f64 z t) x)) |
(fma.f64 x y (*.f64 x (*.f64 z t))) |
(fma.f64 (*.f64 z t) x (*.f64 x y)) |
(fma.f64 y x (*.f64 (*.f64 z t) x)) |
(fma.f64 y x (*.f64 x (*.f64 z t))) |
(-.f64 #s(literal 0 binary64) (*.f64 (neg.f64 x) (fma.f64 z t y))) |
(+.f64 (*.f64 (*.f64 z t) x) (*.f64 x y)) |
(+.f64 (*.f64 x (*.f64 z t)) (*.f64 x y)) |
(+.f64 (*.f64 x y) (*.f64 (*.f64 z t) x)) |
(+.f64 (*.f64 x y) (*.f64 x (*.f64 z t))) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (*.f64 y y))) (fma.f64 z t y)) |
(*.f64 (/.f64 (-.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (pow.f64 (*.f64 z t) #s(literal 3 binary64)) (pow.f64 y #s(literal 3 binary64)))) (fma.f64 y (fma.f64 z t y) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) |
(*.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))) (pow.f64 (fma.f64 y (-.f64 y (*.f64 z t)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) #s(literal -1 binary64))) |
(*.f64 (-.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (*.f64 y y)) (pow.f64 (-.f64 (*.f64 z t) y) #s(literal -1 binary64))) |
(pow.f64 (pow.f64 (fma.f64 z t y) #s(literal -1 binary64)) #s(literal -1 binary64)) |
(/.f64 (-.f64 (pow.f64 (/.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (-.f64 (*.f64 z t) y)) #s(literal 3 binary64)) (pow.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 z t) y)) #s(literal 3 binary64))) (fma.f64 (/.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (-.f64 (*.f64 z t) y)) (/.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (-.f64 (*.f64 z t) y)) (fma.f64 (/.f64 (*.f64 y y) (-.f64 (*.f64 z t) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 z t) y)) (*.f64 (/.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (-.f64 (*.f64 z t) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 z t) y)))))) |
(/.f64 (neg.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))))) (neg.f64 (neg.f64 (fma.f64 y (-.f64 y (*.f64 z t)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))))) |
(/.f64 (-.f64 (*.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (-.f64 (*.f64 z t) y)) (*.f64 (-.f64 (*.f64 z t) y) (*.f64 y y))) (*.f64 (-.f64 (*.f64 z t) y) (-.f64 (*.f64 z t) y))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (*.f64 (*.f64 z t) y))))) |
(/.f64 (neg.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64)))) (neg.f64 (fma.f64 y (-.f64 y (*.f64 z t)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))))) |
(/.f64 (neg.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) (neg.f64 (-.f64 y (*.f64 z t)))) |
(/.f64 (neg.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (*.f64 y y)))) (neg.f64 (neg.f64 (-.f64 (*.f64 z t) y)))) |
(/.f64 (-.f64 (*.f64 y y) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) (-.f64 y (*.f64 z t))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))) (fma.f64 y y (-.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (*.f64 (*.f64 z t) y)))) |
(/.f64 (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))) (fma.f64 y (-.f64 y (*.f64 z t)) (pow.f64 (*.f64 z t) #s(literal 2 binary64)))) |
(/.f64 (neg.f64 (-.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (*.f64 y y))) (neg.f64 (-.f64 (*.f64 z t) y))) |
(/.f64 #s(literal -1 binary64) (neg.f64 (pow.f64 (fma.f64 z t y) #s(literal -1 binary64)))) |
(/.f64 (-.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (*.f64 y y)) (-.f64 (*.f64 z t) y)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 z t)) (-.f64 (*.f64 y y) (pow.f64 (*.f64 z t) #s(literal 2 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 y y (-.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (*.f64 (*.f64 z t) y))) (+.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 (*.f64 z t) #s(literal 3 binary64))))) |
(/.f64 #s(literal 1 binary64) (/.f64 (pow.f64 (fma.f64 z t y) #s(literal -1 binary64)) #s(literal 1 binary64))) |
(/.f64 #s(literal 1 binary64) (pow.f64 (fma.f64 z t y) #s(literal -1 binary64))) |
(fma.f64 z t y) |
(fma.f64 t z y) |
(-.f64 (/.f64 (*.f64 y y) (-.f64 y (*.f64 z t))) (/.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (-.f64 y (*.f64 z t)))) |
(-.f64 (/.f64 #s(literal 0 binary64) (neg.f64 (-.f64 (*.f64 z t) y))) (neg.f64 (fma.f64 z t y))) |
(-.f64 (/.f64 (pow.f64 (*.f64 z t) #s(literal 2 binary64)) (-.f64 (*.f64 z t) y)) (/.f64 (*.f64 y y) (-.f64 (*.f64 z t) y))) |
(+.f64 (*.f64 z t) y) |
(+.f64 y (*.f64 z t)) |
#s(approx (* (+ (* t z) y) (- (* t z) y)) (pow.f64 (*.f64 z t) #s(literal 2 binary64))) |
(*.f64 (*.f64 (*.f64 z t) t) z) |
(*.f64 (*.f64 t (*.f64 z t)) z) |
(*.f64 (*.f64 t t) (*.f64 z z)) |
(*.f64 (*.f64 z z) (*.f64 t t)) |
(*.f64 (*.f64 (*.f64 z t) z) t) |
(*.f64 (*.f64 (neg.f64 t) z) (*.f64 (neg.f64 t) z)) |
(*.f64 (*.f64 z t) (*.f64 z t)) |
(*.f64 z (*.f64 (*.f64 z t) t)) |
(*.f64 z (*.f64 t (*.f64 z t))) |
(*.f64 t (*.f64 (*.f64 z t) z)) |
(pow.f64 (*.f64 (neg.f64 t) z) #s(literal 2 binary64)) |
(pow.f64 (*.f64 z t) #s(literal 2 binary64)) |
(exp.f64 (*.f64 (log.f64 (*.f64 z t)) #s(literal 2 binary64))) |
Compiled 18 584 to 1 966 computations (89.4% saved)
11 alts after pruning (2 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 172 | 2 | 1 174 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 1 173 | 11 | 1 184 |
| Status | Accuracy | Program |
|---|---|---|
| 28.7% | (/.f64 (neg.f64 (*.f64 #s(approx (+ (* t z) y) (*.f64 z t)) x)) #s(approx (* (+ (* t z) y) (- (* t z) y)) (*.f64 (*.f64 (*.f64 z t) z) t))) | |
| ✓ | 95.6% | (/.f64 x (-.f64 y (*.f64 z t))) |
| ✓ | 85.0% | (/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y))) |
| ✓ | 46.5% | (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) |
| ✓ | 48.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x)))) |
| ✓ | 46.8% | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) x) |
| ✓ | 58.0% | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) |
| ✓ | 46.5% | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) |
| ✓ | 48.4% | #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t))) |
| 48.3% | #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (*.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)))) | |
| ✓ | 58.1% | #s(approx (/ x (- y (* z t))) (/.f64 x y)) |
Compiled 451 to 201 computations (55.4% saved)
| Inputs |
|---|
#s(approx (/ x (- y (* z t))) (/.f64 x y)) |
(*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) |
(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) |
#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t))) |
#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (*.f64 (/.f64 #s(literal -1 binary64) t) #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)))) |
(*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) x) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) |
(/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y))) |
(/.f64 (neg.f64 (*.f64 #s(approx (+ (* t z) y) (*.f64 z t)) x)) #s(approx (* (+ (* t z) y) (- (* t z) y)) (*.f64 (*.f64 (*.f64 z t) z) t))) |
(*.f64 (fma.f64 t z y) #s(approx (/ x (- (* y y) (pow (* t z) 2))) (/.f64 (neg.f64 x) (*.f64 (*.f64 (*.f64 z t) z) t)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) #s(approx (* (+ (* t z) y) (- (* t z) y)) (*.f64 (*.f64 (*.f64 z t) z) t))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) |
#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.f64 x z)) (neg.f64 t))) |
#s(approx (/ x (- y (* z t))) (/.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y t) (/.f64 x z)) (neg.f64 t))) |
(*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) |
(*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) |
#s(approx (/ x (- y (* z t))) (/.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (/.f64 x t)) (neg.f64 z))) |
(/.f64 (+.f64 (pow.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 t z)) #s(literal 3 binary64)) (pow.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) y) #s(literal 3 binary64))) (fma.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 t z)) (*.f64 (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 t z)) (-.f64 (*.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) y) (*.f64 (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) y)) (*.f64 (*.f64 (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) (*.f64 t z)) (*.f64 (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64)))) y))))) |
| Outputs |
|---|
#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t))) |
7 calls:
| 12.0ms | z |
| 7.0ms | (-.f64 y (*.f64 z t)) |
| 7.0ms | y |
| 7.0ms | x |
| 6.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 1 | x |
| 95.6% | 1 | y |
| 97.2% | 2 | z |
| 97.6% | 2 | t |
| 95.6% | 1 | (/.f64 x (-.f64 y (*.f64 z t))) |
| 99.9% | 3 | (-.f64 y (*.f64 z t)) |
| 99.9% | 3 | (*.f64 z t) |
Compiled 19 to 34 computations (-78.9% saved)
| Inputs |
|---|
#s(approx (/ x (- y (* z t))) (/.f64 x y)) |
(*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) |
(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) |
| Outputs |
|---|
(/.f64 x (-.f64 y (*.f64 z t))) |
4 calls:
| 4.0ms | (-.f64 y (*.f64 z t)) |
| 2.0ms | t |
| 2.0ms | z |
| 2.0ms | (*.f64 z t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 1 | z |
| 95.6% | 1 | t |
| 95.6% | 1 | (-.f64 y (*.f64 z t)) |
| 95.6% | 1 | (*.f64 z t) |
Compiled 10 to 19 computations (-90% saved)
| Inputs |
|---|
#s(approx (/ x (- y (* z t))) (/.f64 x y)) |
(*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) |
(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) |
| Outputs |
|---|
(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) |
#s(approx (/ x (- y (* z t))) (/.f64 x y)) |
(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) |
7 calls:
| 4.0ms | t |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| 2.0ms | (-.f64 y (*.f64 z t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.7% | 3 | z |
| 70.0% | 3 | t |
| 58.1% | 1 | x |
| 77.6% | 3 | y |
| 64.0% | 3 | (/.f64 x (-.f64 y (*.f64 z t))) |
| 79.1% | 3 | (*.f64 z t) |
| 68.8% | 5 | (-.f64 y (*.f64 z t)) |
Compiled 19 to 34 computations (-78.9% saved)
Total -0.1b remaining (-0.4%)
Threshold costs -0.1b (-0.4%)
| Inputs |
|---|
#s(approx (/ x (- y (* z t))) (/.f64 x y)) |
(*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) |
| Outputs |
|---|
#s(approx (/ x (- y (* z t))) (/.f64 x y)) |
6 calls:
| 1.0ms | t |
| 1.0ms | z |
| 1.0ms | (-.f64 y (*.f64 z t)) |
| 1.0ms | y |
| 1.0ms | (*.f64 z t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 58.1% | 1 | (/.f64 x (-.f64 y (*.f64 z t))) |
| 58.1% | 1 | (-.f64 y (*.f64 z t)) |
| 58.1% | 1 | t |
| 58.1% | 1 | y |
| 58.1% | 1 | z |
| 58.1% | 1 | (*.f64 z t) |
Compiled 18 to 30 computations (-66.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.0929075942059122e+173 | 2.6957150091836136e+192 |
| 0.0ms | -inf | -7.366628071877139e+251 |
Compiled 10 to 14 computations (-40% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.901565989287553e+65 | 6.080285077484048e+82 |
| 0.0ms | -3.3737013924845204e-79 | -2.215989747036747e-86 |
Compiled 10 to 14 computations (-40% saved)
| 1× | egg-herbie |
| 14× | *-commutative-binary64-*.f64 |
| 12× | +-commutative-binary64-+.f64 |
| 12× | 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 | 44 | 166 |
| 1 | 59 | 166 |
| 2 | 71 | 166 |
| 3 | 80 | 166 |
| 4 | 85 | 166 |
| 5 | 86 | 166 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 z t) #s(literal -inf.0 binary64)) #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t))) (if (<=.f64 (*.f64 z t) #s(literal 400000000000000005615674502319882087129847882280516544375320171780085218194600432432736532974262747378449143055112407624771957107452558759491071088337686758867042422732357632 binary64)) (/.f64 x (-.f64 y (*.f64 z t))) #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t))))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(if (<=.f64 (*.f64 z t) #s(literal -1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) (if (<=.f64 (*.f64 z t) #s(literal 499999999999999972661166934123722562854823285010623962332920807424 binary64)) #s(approx (/ x (- y (* z t))) (/.f64 x y)) (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))))) |
#s(approx (/ x (- y (* z t))) (/.f64 x y)) |
| Outputs |
|---|
(if (<=.f64 (*.f64 z t) #s(literal -inf.0 binary64)) #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t))) (if (<=.f64 (*.f64 z t) #s(literal 400000000000000005615674502319882087129847882280516544375320171780085218194600432432736532974262747378449143055112407624771957107452558759491071088337686758867042422732357632 binary64)) (/.f64 x (-.f64 y (*.f64 z t))) #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t))))) |
(if (<=.f64 (*.f64 t z) #s(literal -inf.0 binary64)) #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t))) (if (<=.f64 (*.f64 t z) #s(literal 400000000000000005615674502319882087129847882280516544375320171780085218194600432432736532974262747378449143055112407624771957107452558759491071088337686758867042422732357632 binary64)) (/.f64 x (-.f64 y (*.f64 t z))) #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 #s(approx (+ (* x (/ y (* (* z t) z))) (/ x z)) (/.f64 x z)) (neg.f64 t))))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/.f64 x (-.f64 y (*.f64 t z))) |
(if (<=.f64 (*.f64 z t) #s(literal -1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) (if (<=.f64 (*.f64 z t) #s(literal 499999999999999972661166934123722562854823285010623962332920807424 binary64)) #s(approx (/ x (- y (* z t))) (/.f64 x y)) (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))))) |
(if (<=.f64 (*.f64 t z) #s(literal -1668739871813211/8343699359066055009355553539724812947666814540455674882605631280555545803830627148527195652096 binary64)) (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) (if (<=.f64 (*.f64 t z) #s(literal 499999999999999972661166934123722562854823285010623962332920807424 binary64)) #s(approx (/ x (- y (* z t))) (/.f64 x y)) (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))))) |
#s(approx (/ x (- y (* z t))) (/.f64 x y)) |
| 9 480× | lower-fma.f64 |
| 9 480× | lower-fma.f32 |
| 7 444× | lower-fma.f64 |
| 7 444× | lower-fma.f32 |
| 7 178× | lower-fma.f64 |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 735 | 10450 |
| 1 | 2364 | 10058 |
| 2 | 7354 | 9898 |
| 0 | 8125 | 9538 |
| 0 | 843 | 9897 |
| 1 | 2755 | 9177 |
| 0 | 8449 | 8834 |
| 0 | 243 | 1179 |
| 1 | 779 | 1140 |
| 2 | 2704 | 1087 |
| 3 | 7691 | 1085 |
| 0 | 8981 | 1047 |
| 0 | 7 | 15 |
| 0 | 10 | 15 |
| 1 | 37 | 15 |
| 2 | 248 | 15 |
| 3 | 2420 | 15 |
| 0 | 8983 | 15 |
| 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 |
Compiled 110 to 68 computations (38.2% saved)
(sort z t)
(negabs x)
Compiled 520 to 254 computations (51.2% saved)
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