
Time bar (total: 6.8s)
| 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)
| 528.0ms | 8 256× | 0 | valid |
ival-div: 95.0ms (37.6% of total)ival-mult: 80.0ms (31.7% of total)ival-sub: 68.0ms (26.9% of total)ival-true: 7.0ms (2.8% of total)ival-assert: 3.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 13 | 0 | - | 0 | - | (/.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 | 13 | 0 |
| ↳ | (-.f64 y (*.f64 z t)) | overflow | 35 | |
| ↳ | (*.f64 z t) | overflow | 35 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 13 | 0 |
| - | 0 | 243 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 13 | 0 | 0 |
| - | 0 | 0 | 243 |
| number | freq |
|---|---|
| 0 | 243 |
| 1 | 13 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 27.0ms | 512× | 0 | valid |
Compiled 68 to 32 computations (52.9% saved)
ival-div: 4.0ms (36.7% of total)ival-mult: 4.0ms (36.7% of total)ival-sub: 3.0ms (27.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
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))) |
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 | 0.015625 | (-.f64 y (*.f64 z t)) | |
| accuracy | 2.8177962220876362 | (/.f64 x (-.f64 y (*.f64 z t))) |
| 32.0ms | 256× | 0 | valid |
Compiled 40 to 16 computations (60% saved)
ival-div: 2.0ms (37.6% of total)ival-mult: 2.0ms (37.6% of total)ival-sub: 1.0ms (18.8% 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 | 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 | @ | 0 | ((/ x (- y (* z t))) (- y (* z t)) (* z t)) |
| 1× | egg-herbie |
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)) |
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 |
|---|
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Compiled 12 819 to 1 369 computations (89.3% saved)
10 alts after pruning (9 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 446 | 9 | 455 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 446 | 10 | 456 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 54.2% | (/.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))) |
| 85.9% | (/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y))) | |
| 48.4% | (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) | |
| ▶ | 95.0% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) |
| 85.6% | (*.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))) | |
| ▶ | 95.4% | (*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) |
| 42.4% | #s(approx (/ x (- y (* z t))) (/.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y t) (/.f64 x z)) (neg.f64 t))) | |
| ▶ | 39.4% | #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))) |
| ▶ | 55.3% | #s(approx (/ x (- y (* z t))) (/.f64 x y)) |
Compiled 249 to 199 computations (20.1% saved)
| 1× | egg-herbie |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.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)) | |
| cost-diff | 0 | #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))) | |
| cost-diff | 128 | (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)) | |
| cost-diff | 5952 | (fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) | |
| 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 | 1536 | (/.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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 258 |
| 0 | 62 | 249 |
| 1 | 119 | 249 |
| 2 | 290 | 243 |
| 3 | 846 | 239 |
| 4 | 3045 | 239 |
| 5 | 6626 | 239 |
| 0 | 8289 | 236 |
| 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) |
#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 (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)) |
(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)) |
(/.f64 x z) |
x |
z |
(fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) |
y |
(/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) |
(*.f64 (pow.f64 t #s(literal 3 binary64)) z) |
(pow.f64 t #s(literal 3 binary64)) |
t |
#s(literal 3 binary64) |
(/.f64 (/.f64 y t) t) |
(/.f64 y t) |
(/.f64 x t) |
(neg.f64 z) |
| 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)) |
(*.f64 (-.f64 (*.f64 z t) y) (fma.f64 z t y)) |
(-.f64 (*.f64 t z) y) |
(-.f64 (*.f64 z t) y) |
(*.f64 t z) |
(*.f64 z t) |
#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))) |
#s(approx (/ x (- y (* z t))) (/.f64 (fma.f64 (/.f64 (/.f64 (/.f64 x t) z) t) (fma.f64 (/.f64 y z) (/.f64 y t) y) (/.f64 x t)) (neg.f64 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)) |
(/.f64 (fma.f64 (/.f64 (/.f64 (/.f64 x t) z) t) (fma.f64 (/.f64 y z) (/.f64 y t) y) (/.f64 x t)) (neg.f64 z)) |
(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)) |
(fma.f64 (/.f64 (/.f64 (/.f64 x t) z) t) (fma.f64 (/.f64 y z) (/.f64 y t) y) (/.f64 x t)) |
(/.f64 x z) |
x |
z |
(fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) |
(*.f64 (+.f64 (/.f64 (/.f64 y z) t) #s(literal 1 binary64)) (/.f64 (/.f64 y t) t)) |
y |
(/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) |
(*.f64 (pow.f64 t #s(literal 3 binary64)) z) |
(pow.f64 t #s(literal 3 binary64)) |
t |
#s(literal 3 binary64) |
(/.f64 (/.f64 y t) t) |
(/.f64 y t) |
(/.f64 x t) |
(neg.f64 z) |
Found 18 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 5.031920709315871 | (/.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)) | |
| accuracy | 5.513444262821922 | (*.f64 (pow.f64 t #s(literal 3 binary64)) z) | |
| accuracy | 8.709793603222547 | (fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) | |
| accuracy | 30.58312804294195 | #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))) | |
| accuracy | 0.015625 | (-.f64 (*.f64 t z) y) | |
| accuracy | 0.07650375976844201 | (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y)) | |
| accuracy | 3.822072745063454 | (*.f64 (fma.f64 t z y) x) | |
| accuracy | 24.99250529590258 | (/.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 | 0.015625 | (-.f64 y (*.f64 t z)) | |
| accuracy | 0.6408441364929458 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) | |
| accuracy | 2.6624415909792623 | (/.f64 (-.f64 y (*.f64 t z)) x) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 28.60938210118063 | #s(approx (/ x (- y (* z t))) (/.f64 x y)) | |
| accuracy | 0 | (*.f64 t z) | |
| accuracy | 0.015625 | (-.f64 y (*.f64 t z)) | |
| accuracy | 0.526167524172247 | (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) | |
| accuracy | 2.7241307565127255 | (*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) |
| 100.0ms | 256× | 0 | valid |
Compiled 486 to 71 computations (85.4% saved)
ival-mult: 21.0ms (30.6% of total)ival-pow: 20.0ms (29.1% of total)ival-div: 17.0ms (24.8% of total)ival-sub: 4.0ms (5.8% of total)ival-add: 3.0ms (4.4% of total)ival-neg: 2.0ms (2.9% 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 (fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (patch (fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) #<representation binary64>) () ()) |
#s(alt (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)) (patch (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)) #<representation binary64>) () ()) |
#s(alt #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))) (patch #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))) #<representation binary64>) () ()) |
#s(alt (/.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)) (patch (/.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)) #<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 (*.f64 (pow.f64 t #s(literal 3 binary64)) z) (patch (*.f64 (pow.f64 t #s(literal 3 binary64)) z) #<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 (/ (pow y 2) (* (pow t 3) z)) (taylor 0 t) (#s(alt (fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (patch (fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t)) (+ (* (/ x z) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t))) (/ x t)) (/ x (- y (* z t))) (/ (+ (* (/ x z) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t))) (/ x t)) (neg z)) (* (+ (* t z) y) (- (* t z) y)) (- (* t z) y) (* (pow t 3) z)) |
| 9.0ms | 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) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t)) (+ (* (/ x z) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t))) (/ x t)) (/ x (- y (* z t))) (/ (+ (* (/ x z) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t))) (/ x t)) (neg z)) (* (+ (* t z) y) (- (* t z) y)) (- (* t z) y) (* (pow t 3) z)) |
| 7.0ms | y | @ | -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) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t)) (+ (* (/ x z) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t))) (/ x t)) (/ x (- y (* z t))) (/ (+ (* (/ x z) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t))) (/ x t)) (neg z)) (* (+ (* t z) y) (- (* t z) y)) (- (* t z) y) (* (pow t 3) z)) |
| 5.0ms | y | @ | 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) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t)) (+ (* (/ x z) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t))) (/ x t)) (/ x (- y (* z t))) (/ (+ (* (/ x z) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t))) (/ x t)) (neg z)) (* (+ (* t z) y) (- (* t z) y)) (- (* t z) y) (* (pow t 3) z)) |
| 5.0ms | x | @ | 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) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t)) (+ (* (/ x z) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t))) (/ x t)) (/ x (- y (* z t))) (/ (+ (* (/ x z) (+ (* y (/ y (* (pow t 3) z))) (/ (/ y t) t))) (/ x t)) (neg z)) (* (+ (* t z) y) (- (* t z) y)) (- (* t z) y) (* (pow t 3) z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 793 | 10788 |
| 1 | 2587 | 9938 |
| 0 | 8066 | 9540 |
| 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)) |
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(/ (pow y 2) (* (pow t 3) z)) |
(/ (+ (* t y) (/ (pow y 2) z)) (pow t 3)) |
(/ (+ (* t y) (/ (pow y 2) z)) (pow t 3)) |
(/ (+ (* t y) (/ (pow y 2) z)) (pow t 3)) |
(/ (* x (pow y 2)) (* (pow t 3) (pow z 2))) |
(/ (+ (/ (* t (* x y)) z) (/ (* x (pow y 2)) (pow z 2))) (pow t 3)) |
(/ (+ (* t (+ (* t x) (/ (* x y) z))) (/ (* x (pow y 2)) (pow z 2))) (pow t 3)) |
(/ (+ (* t (+ (* t x) (/ (* x y) z))) (/ (* x (pow y 2)) (pow z 2))) (pow t 3)) |
(/ 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)) |
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(* -1 y) |
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(* (pow t 3) z) |
(* (pow t 3) z) |
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(/ (- (* -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) |
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(* t z) |
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(* -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 (/ 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) |
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(/ (+ (* -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) |
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(* t z) |
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(* t (+ z (/ y t))) |
(/ y (pow t 2)) |
(/ (+ y (/ (pow y 2) (* t z))) (pow t 2)) |
(/ (+ y (/ (pow y 2) (* t z))) (pow t 2)) |
(/ (+ y (/ (pow y 2) (* t z))) (pow t 2)) |
(/ x t) |
(/ (+ x (/ (* x y) (* t z))) t) |
(/ (+ x (+ (/ (* x y) (* t z)) (/ (* x (pow y 2)) (* (pow t 2) (pow z 2))))) t) |
(/ (+ x (+ (/ (* x y) (* t z)) (/ (* x (pow y 2)) (* (pow t 2) (pow z 2))))) 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 (/ 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)))))) t) |
(* (pow t 2) (pow z 2)) |
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(* (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))))) |
(* t z) |
(* t (+ z (* -1 (/ y t)))) |
(* t (+ z (* -1 (/ y t)))) |
(* t (+ z (* -1 (/ y t)))) |
(* (pow t 3) z) |
(* (pow t 3) z) |
(* (pow t 3) z) |
(* (pow t 3) 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 (/ (+ (/ 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 (- (* -1 (/ y t)) (* -1 z)))) |
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(* -1 (/ x (* t z))) |
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(* -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)) |
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(* -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)))) |
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(* -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) |
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(* -1 (* t (+ (* -1 z) (* -1 (/ y t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ y t))))) |
(/ y (pow t 2)) |
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(/ (+ y (/ (pow y 2) (* t z))) (pow t 2)) |
(/ (+ y (/ (pow y 2) (* t z))) (pow t 2)) |
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(* -1 (/ (+ (* -1 x) (* -1 (/ (* x y) (* t z)))) t)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (/ (* x y) z) (/ (* x (pow y 2)) (* t (pow z 2)))) t))) t)) |
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(* t z) |
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(* -1 (* t (+ (* -1 z) (/ y t)))) |
(* (pow t 3) z) |
(* (pow t 3) z) |
(* (pow t 3) z) |
(* (pow t 3) z) |
(/ x y) |
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(/ x y) |
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(/ y x) |
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(+ (* -1 (/ (* t z) x)) (/ y x)) |
(/ 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)) |
(- (* -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)) |
(/ (pow y 2) (* (pow t 3) z)) |
(/ (+ (/ (* y z) (pow t 2)) (/ (pow y 2) (pow t 3))) z) |
(/ (+ (/ (* y z) (pow t 2)) (/ (pow y 2) (pow t 3))) z) |
(/ (+ (/ (* y z) (pow t 2)) (/ (pow y 2) (pow t 3))) z) |
(/ (* x (pow y 2)) (* (pow t 3) (pow z 2))) |
(/ (+ (/ (* x (* y z)) (pow t 2)) (/ (* x (pow y 2)) (pow t 3))) (pow z 2)) |
(/ (+ (* z (+ (/ (* x y) (pow t 2)) (/ (* x z) t))) (/ (* x (pow y 2)) (pow t 3))) (pow z 2)) |
(/ (+ (* z (+ (/ (* x y) (pow t 2)) (/ (* x z) t))) (/ (* x (pow y 2)) (pow t 3))) (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)) |
(* -1 (/ (* x (pow y 2)) (* (pow t 3) (pow z 3)))) |
(/ (+ (* -1 (/ (* x (* y z)) (pow t 2))) (* -1 (/ (* x (pow y 2)) (pow t 3)))) (pow z 3)) |
(/ (+ (* -1 (/ (* x (pow y 2)) (pow t 3))) (* z (+ (* -1 (/ (* x y) (pow t 2))) (* -1 (/ (* x z) t))))) (pow z 3)) |
(/ (+ (* -1 (/ (* x (pow y 2)) (pow t 3))) (* z (+ (* -1 (/ (* x y) (pow t 2))) (* -1 (/ (* x z) t))))) (pow z 3)) |
(* -1 (pow y 2)) |
(+ (* -1 (pow y 2)) (* z (+ (* -1 (* t y)) (* t y)))) |
(+ (* -1 (pow y 2)) (* z (+ (* -1 (* t y)) (+ (* t y) (* (pow t 2) z))))) |
(+ (* -1 (pow y 2)) (* z (+ (* -1 (* t y)) (+ (* t y) (* (pow t 2) z))))) |
(* -1 y) |
(- (* t z) y) |
(- (* t z) y) |
(- (* t z) y) |
(* (pow t 3) z) |
(* (pow t 3) z) |
(* (pow t 3) z) |
(* (pow t 3) 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)) |
(/ (- (* -1 (/ y (* (pow t 2) z))) (/ 1 t)) z) |
(/ (- (* -1 (/ (pow y 2) (* (pow t 3) (pow z 2)))) (+ (/ 1 t) (/ y (* (pow t 2) z)))) z) |
(/ (- (* -1 (/ (pow y 3) (* (pow t 4) (pow z 3)))) (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) z) |
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(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
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(* -1 (/ x (* t z))) |
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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))))))) |
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(+ (* -1 y) (* t z)) |
(+ (* -1 y) (* t z)) |
(/ x y) |
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(/ (- (+ 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) |
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(/ (- (+ 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 |
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(* y (+ 1 (* -1 (/ (* t z) y)))) |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(/ x y) |
(/ (+ x (/ (* t (* x z)) y)) y) |
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(/ (- (+ 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) |
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(* 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) |
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(* 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 |
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(* y (+ 1 (/ (* t z) y))) |
(* y (+ 1 (/ (* t z) y))) |
(/ (pow y 2) (* (pow t 3) z)) |
(* (pow y 2) (+ (/ 1 (* (pow t 2) y)) (/ 1 (* (pow t 3) z)))) |
(* (pow y 2) (+ (/ 1 (* (pow t 2) y)) (/ 1 (* (pow t 3) z)))) |
(* (pow y 2) (+ (/ 1 (* (pow t 2) y)) (/ 1 (* (pow t 3) z)))) |
(/ (* x (pow y 2)) (* (pow t 3) (pow z 2))) |
(* (pow y 2) (+ (/ x (* (pow t 2) (* y z))) (/ x (* (pow t 3) (pow z 2))))) |
(* (pow y 2) (+ (/ x (* t (pow y 2))) (+ (/ x (* (pow t 2) (* y z))) (/ x (* (pow t 3) (pow z 2)))))) |
(* (pow y 2) (+ (/ x (* t (pow y 2))) (+ (/ x (* (pow t 2) (* y z))) (/ x (* (pow t 3) (pow z 2)))))) |
(/ 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 (/ (* x (pow y 2)) (* (pow t 3) (pow z 3)))) |
(* (pow y 2) (+ (* -1 (/ x (* (pow t 2) (* y (pow z 2))))) (* -1 (/ x (* (pow t 3) (pow z 3)))))) |
(* (pow y 2) (+ (* -1 (/ x (* t (* (pow y 2) z)))) (+ (* -1 (/ x (* (pow t 2) (* y (pow z 2))))) (* -1 (/ x (* (pow t 3) (pow z 3))))))) |
(* (pow y 2) (+ (* -1 (/ x (* t (* (pow y 2) z)))) (+ (* -1 (/ x (* (pow t 2) (* y (pow z 2))))) (* -1 (/ x (* (pow t 3) (pow z 3))))))) |
(* -1 (pow y 2)) |
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(* (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)) |
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(* 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 |
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(* -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 |
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(* -1 (* y (- (* -1 (/ (* t z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (* t z) y)) 1))) |
(/ (pow y 2) (* (pow t 3) z)) |
(* (pow y 2) (+ (/ 1 (* (pow t 2) y)) (/ 1 (* (pow t 3) z)))) |
(* (pow y 2) (+ (/ 1 (* (pow t 2) y)) (/ 1 (* (pow t 3) z)))) |
(* (pow y 2) (+ (/ 1 (* (pow t 2) y)) (/ 1 (* (pow t 3) z)))) |
(/ (* x (pow y 2)) (* (pow t 3) (pow z 2))) |
(* (pow y 2) (+ (/ x (* (pow t 2) (* y z))) (/ x (* (pow t 3) (pow z 2))))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x (* t y))) (* -1 (/ x (* (pow t 2) z)))) y)) (/ x (* (pow t 3) (pow z 2))))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ x (* t y))) (* -1 (/ x (* (pow t 2) z)))) y)) (/ x (* (pow t 3) (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)) |
(* -1 (/ (* x (pow y 2)) (* (pow t 3) (pow z 3)))) |
(* (pow y 2) (+ (* -1 (/ x (* (pow t 2) (* y (pow z 2))))) (* -1 (/ x (* (pow t 3) (pow z 3)))))) |
(* (pow y 2) (+ (* -1 (/ x (* (pow t 3) (pow z 3)))) (* -1 (/ (+ (/ x (* t (* y z))) (/ x (* (pow t 2) (pow z 2)))) y)))) |
(* (pow y 2) (+ (* -1 (/ x (* (pow t 3) (pow z 3)))) (* -1 (/ (+ (/ x (* t (* y z))) (/ x (* (pow t 2) (pow z 2)))) y)))) |
(* -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 (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) |
(* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) |
(* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) |
(* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(* -1 (/ (* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) z)) |
(* -1 (/ (* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) z)) |
(* -1 (/ (* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) z)) |
(* -1 (/ (* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) 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) |
(/ 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 (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) |
(* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) |
(* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) |
(* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(* -1 (/ (* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) z)) |
(* -1 (/ (* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) z)) |
(* -1 (/ (* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) z)) |
(* -1 (/ (* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) 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) |
(/ 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))) |
(* -1 (* x (- (* -1 (/ (+ (/ y (pow t 2)) (/ (pow y 2) (* (pow t 3) z))) z)) (/ 1 t)))) |
(* -1 (* x (- (* -1 (/ (+ (/ y (pow t 2)) (/ (pow y 2) (* (pow t 3) z))) z)) (/ 1 t)))) |
(* -1 (* x (- (* -1 (/ (+ (/ y (pow t 2)) (/ (pow y 2) (* (pow t 3) z))) z)) (/ 1 t)))) |
(* -1 (* x (- (* -1 (/ (+ (/ y (pow t 2)) (/ (pow y 2) (* (pow t 3) z))) z)) (/ 1 t)))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ (* x (- (* -1 (/ (+ (/ y (pow t 2)) (/ (pow y 2) (* (pow t 3) z))) z)) (/ 1 t))) z) |
(/ (* x (- (* -1 (/ (+ (/ y (pow t 2)) (/ (pow y 2) (* (pow t 3) z))) z)) (/ 1 t))) z) |
(/ (* x (- (* -1 (/ (+ (/ y (pow t 2)) (/ (pow y 2) (* (pow t 3) z))) z)) (/ 1 t))) z) |
(/ (* x (- (* -1 (/ (+ (/ y (pow t 2)) (/ (pow y 2) (* (pow t 3) z))) z)) (/ 1 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 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) |
(+ (/ 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 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)) |
(/ 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 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)) |
(/ y x) |
(/.f64 y x) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(/ 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 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)) (/ (* 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 x) 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)) |
(- (* -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) |
(/ (pow y 2) (* (pow t 3) z)) |
(*.f64 (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 y z)) |
(/ (+ (* t y) (/ (pow y 2) z)) (pow t 3)) |
(/.f64 (fma.f64 t y (/.f64 (*.f64 y y) z)) (pow.f64 t #s(literal 3 binary64))) |
(/ (+ (* t y) (/ (pow y 2) z)) (pow t 3)) |
(/.f64 (fma.f64 t y (/.f64 (*.f64 y y) z)) (pow.f64 t #s(literal 3 binary64))) |
(/ (+ (* t y) (/ (pow y 2) z)) (pow t 3)) |
(/.f64 (fma.f64 t y (/.f64 (*.f64 y y) z)) (pow.f64 t #s(literal 3 binary64))) |
(/ (* x (pow y 2)) (* (pow t 3) (pow z 2))) |
(*.f64 (*.f64 (/.f64 x (*.f64 (*.f64 (pow.f64 t #s(literal 3 binary64)) z) z)) y) y) |
(/ (+ (/ (* t (* x y)) z) (/ (* x (pow y 2)) (pow z 2))) (pow t 3)) |
(/.f64 (fma.f64 (/.f64 x z) (/.f64 (*.f64 y y) z) (/.f64 (*.f64 (*.f64 t y) x) z)) (pow.f64 t #s(literal 3 binary64))) |
(/ (+ (* t (+ (* t x) (/ (* x y) z))) (/ (* x (pow y 2)) (pow z 2))) (pow t 3)) |
(/.f64 (fma.f64 (/.f64 x z) (/.f64 (*.f64 y y) z) (*.f64 (*.f64 x (+.f64 (/.f64 y z) t)) t)) (pow.f64 t #s(literal 3 binary64))) |
(/ (+ (* t (+ (* t x) (/ (* x y) z))) (/ (* x (pow y 2)) (pow z 2))) (pow t 3)) |
(/.f64 (fma.f64 (/.f64 x z) (/.f64 (*.f64 y y) z) (*.f64 (*.f64 x (+.f64 (/.f64 y z) t)) t)) (pow.f64 t #s(literal 3 binary64))) |
(/ 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 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 (/ (* x (pow y 2)) (* (pow t 3) (pow z 3)))) |
(*.f64 (*.f64 (/.f64 (neg.f64 x) (*.f64 (pow.f64 t #s(literal 3 binary64)) (pow.f64 z #s(literal 3 binary64)))) y) y) |
(/ (+ (* -1 (/ (* t (* x y)) (pow z 2))) (* -1 (/ (* x (pow y 2)) (pow z 3)))) (pow t 3)) |
(/.f64 (neg.f64 (fma.f64 (/.f64 t z) (/.f64 (*.f64 y x) z) (*.f64 (*.f64 y y) (/.f64 x (pow.f64 z #s(literal 3 binary64)))))) (pow.f64 t #s(literal 3 binary64))) |
(/ (+ (* -1 (/ (* x (pow y 2)) (pow z 3))) (* t (+ (* -1 (/ (* t x) z)) (* -1 (/ (* x y) (pow z 2)))))) (pow t 3)) |
(/.f64 (-.f64 (*.f64 (neg.f64 t) (fma.f64 t (/.f64 x z) (/.f64 (/.f64 (*.f64 y x) z) z))) (*.f64 (*.f64 y y) (/.f64 x (pow.f64 z #s(literal 3 binary64))))) (pow.f64 t #s(literal 3 binary64))) |
(/ (+ (* -1 (/ (* x (pow y 2)) (pow z 3))) (* t (+ (* -1 (/ (* t x) z)) (* -1 (/ (* x y) (pow z 2)))))) (pow t 3)) |
(/.f64 (-.f64 (*.f64 (neg.f64 t) (fma.f64 t (/.f64 x z) (/.f64 (/.f64 (*.f64 y x) z) z))) (*.f64 (*.f64 y y) (/.f64 x (pow.f64 z #s(literal 3 binary64))))) (pow.f64 t #s(literal 3 binary64))) |
(* -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 z t) z) t)) |
(+ (* -1 (pow y 2)) (* t (+ (* -1 (* y z)) (+ (* t (pow z 2)) (* y z))))) |
(fma.f64 (neg.f64 y) y (*.f64 (*.f64 (*.f64 z t) z) t)) |
(* -1 y) |
(neg.f64 y) |
(- (* t z) y) |
(fma.f64 z t (neg.f64 y)) |
(- (* t z) y) |
(fma.f64 z t (neg.f64 y)) |
(- (* t z) y) |
(fma.f64 z t (neg.f64 y)) |
(* (pow t 3) z) |
(*.f64 (pow.f64 t #s(literal 3 binary64)) z) |
(* (pow t 3) z) |
(*.f64 (pow.f64 t #s(literal 3 binary64)) z) |
(* (pow t 3) z) |
(*.f64 (pow.f64 t #s(literal 3 binary64)) z) |
(* (pow t 3) z) |
(*.f64 (pow.f64 t #s(literal 3 binary64)) z) |
(* -1 (/ x (* t z))) |
(/.f64 (/.f64 (neg.f64 x) t) z) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/.f64 (fma.f64 x (/.f64 y (*.f64 (*.f64 z t) z)) (/.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 (-.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 (-.f64 (neg.f64 (fma.f64 (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 z #s(literal 4 binary64))) (/.f64 x (pow.f64 t #s(literal 3 binary64))) (/.f64 x z))) (*.f64 x (fma.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 (/.f64 y t) t) (/.f64 y (*.f64 (*.f64 z t) z))))) t) |
(/ -1 (* t z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z t)) |
(/ (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z)) t) |
(/.f64 (+.f64 (/.f64 #s(literal 1 binary64) t) (/.f64 (/.f64 (/.f64 y t) t) z)) (neg.f64 z)) |
(/ (- (* -1 (/ (pow y 2) (* (pow t 2) (pow z 3)))) (+ (/ 1 z) (/ y (* t (pow z 2))))) t) |
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(*.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 (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) |
(fma.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 x (*.f64 (*.f64 t t) z))) y (/.f64 x t)) |
(* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) |
(fma.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 x (*.f64 (*.f64 t t) z))) y (/.f64 x t)) |
(* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) |
(fma.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 x (*.f64 (*.f64 t t) z))) y (/.f64 x t)) |
(* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) |
(fma.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 x (*.f64 (*.f64 t t) z))) y (/.f64 x t)) |
(/ 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)) |
(* -1 (/ (* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) z)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 y z) (/.f64 (/.f64 y t) t)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) t)) (/.f64 x z)) |
(* -1 (/ (* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) z)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 y z) (/.f64 (/.f64 y t) t)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) t)) (/.f64 x z)) |
(* -1 (/ (* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) z)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 y z) (/.f64 (/.f64 y t) t)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) t)) (/.f64 x z)) |
(* -1 (/ (* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) z)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 y z) (/.f64 (/.f64 y t) t)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) t)) (/.f64 x z)) |
(/ 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 (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) |
(fma.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 x (*.f64 (*.f64 t t) z))) y (/.f64 x t)) |
(* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) |
(fma.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 x (*.f64 (*.f64 t t) z))) y (/.f64 x t)) |
(* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) |
(fma.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 x (*.f64 (*.f64 t t) z))) y (/.f64 x t)) |
(* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) |
(fma.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 x (*.f64 (*.f64 t t) z))) y (/.f64 x t)) |
(/ 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)) |
(* -1 (/ (* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) z)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 y z) (/.f64 (/.f64 y t) t)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) t)) (/.f64 x z)) |
(* -1 (/ (* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) z)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 y z) (/.f64 (/.f64 y t) t)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) t)) (/.f64 x z)) |
(* -1 (/ (* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) z)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 y z) (/.f64 (/.f64 y t) t)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) t)) (/.f64 x z)) |
(* -1 (/ (* x (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) z)) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 y z) (/.f64 (/.f64 y t) t)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) t)) (/.f64 x z)) |
(/ 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) |
(* -1 (* x (- (* -1 (/ (+ (/ y (pow t 2)) (/ (pow y 2) (* (pow t 3) z))) z)) (/ 1 t)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 y z) (/.f64 (/.f64 y t) t)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) t)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (/ y (pow t 2)) (/ (pow y 2) (* (pow t 3) z))) z)) (/ 1 t)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 y z) (/.f64 (/.f64 y t) t)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) t)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (/ y (pow t 2)) (/ (pow y 2) (* (pow t 3) z))) z)) (/ 1 t)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 y z) (/.f64 (/.f64 y t) t)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) t)) (neg.f64 x)) |
(* -1 (* x (- (* -1 (/ (+ (/ y (pow t 2)) (/ (pow y 2) (* (pow t 3) z))) z)) (/ 1 t)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 y z) (/.f64 (/.f64 y t) t)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) t)) (neg.f64 x)) |
(/ 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 (- (* -1 (/ (+ (/ y (pow t 2)) (/ (pow y 2) (* (pow t 3) z))) z)) (/ 1 t))) z) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 y z) (/.f64 (/.f64 y t) t)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) t)) (/.f64 x z)) |
(/ (* x (- (* -1 (/ (+ (/ y (pow t 2)) (/ (pow y 2) (* (pow t 3) z))) z)) (/ 1 t))) z) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 y z) (/.f64 (/.f64 y t) t)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) t)) (/.f64 x z)) |
(/ (* x (- (* -1 (/ (+ (/ y (pow t 2)) (/ (pow y 2) (* (pow t 3) z))) z)) (/ 1 t))) z) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 y z) (/.f64 (/.f64 y t) t)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) t)) (/.f64 x z)) |
(/ (* x (- (* -1 (/ (+ (/ y (pow t 2)) (/ (pow y 2) (* (pow t 3) z))) z)) (/ 1 t))) z) |
(*.f64 (-.f64 (/.f64 (fma.f64 (/.f64 y (pow.f64 t #s(literal 3 binary64))) (/.f64 y z) (/.f64 (/.f64 y t) t)) (neg.f64 z)) (/.f64 #s(literal 1 binary64) t)) (/.f64 x z)) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 200 |
| 0 | 62 | 196 |
| 1 | 258 | 187 |
| 2 | 2066 | 185 |
| 0 | 8125 | 185 |
| 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) |
(fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) |
(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)) |
#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 (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 (fma.f64 t z y) (-.f64 (*.f64 t z) y)) |
(-.f64 (*.f64 t z) y) |
(*.f64 (pow.f64 t #s(literal 3 binary64)) z) |
| Outputs |
|---|
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Compiled 38 591 to 3 457 computations (91% saved)
12 alts after pruning (10 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 655 | 8 | 1 663 |
| Fresh | 2 | 2 | 4 |
| Picked | 4 | 1 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 661 | 12 | 1 673 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 28.7% | (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) #s(approx (- (* t z) y) (*.f64 z t)))) |
| 23.3% | (/.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))) |
| 48.4% | (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) | |
| 80.8% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (-.f64 (/.f64 (/.f64 y z) x) (/.f64 t x)) z))) | |
| ▶ | 50.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x)))) |
| ▶ | 85.6% | (*.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))) |
| ▶ | 55.1% | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) |
| ▶ | 48.4% | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) |
| 46.4% | #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))) | |
| 49.2% | #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (/.f64 (neg.f64 x) t) z)) | |
| ✓ | 55.3% | #s(approx (/ x (- y (* z t))) (/.f64 x y)) |
Compiled 253 to 219 computations (13.4% saved)
| 1× | egg-herbie |
Found 19 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 | 1408 | (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) #s(approx (- (* t z) y) (*.f64 z t)))) | |
| 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)))) | |
| 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 | (/.f64 (fma.f64 t z y) x) | |
| cost-diff | 1792 | (*.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))) | |
| cost-diff | 6464 | (pow.f64 (/.f64 (-.f64 y (*.f64 t z)) (fma.f64 t z y)) #s(literal -1 binary64)) | |
| cost-diff | 6464 | (pow.f64 (/.f64 (fma.f64 t z y) x) #s(literal -1 binary64)) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 258 |
| 0 | 59 | 258 |
| 1 | 103 | 258 |
| 2 | 221 | 246 |
| 3 | 563 | 230 |
| 4 | 1610 | 230 |
| 5 | 4546 | 230 |
| 0 | 8098 | 230 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.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))) |
(pow.f64 (/.f64 (fma.f64 t z y) x) #s(literal -1 binary64)) |
(/.f64 (fma.f64 t z y) x) |
(fma.f64 t z y) |
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 (-.f64 y (*.f64 t z)) (fma.f64 t z y)) |
(-.f64 y (*.f64 t z)) |
(*.f64 t z) |
(*.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 #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 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) #s(approx (- (* t z) y) (*.f64 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 |
(*.f64 (fma.f64 t z y) #s(approx (- (* t z) y) (*.f64 z t))) |
#s(approx (- (* t z) 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 x (-.f64 y (*.f64 z t))) |
(pow.f64 (/.f64 (fma.f64 t z y) x) #s(literal -1 binary64)) |
(/.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(literal -1 binary64) |
(pow.f64 (/.f64 (-.f64 y (*.f64 t z)) (fma.f64 t z y)) #s(literal -1 binary64)) |
(/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) |
(/.f64 (-.f64 y (*.f64 t z)) (fma.f64 t z y)) |
(/.f64 (-.f64 y (*.f64 z t)) (fma.f64 z t y)) |
(-.f64 y (*.f64 t z)) |
(-.f64 y (*.f64 z t)) |
(*.f64 t z) |
(*.f64 z t) |
(*.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 #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 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) #s(approx (- (* t z) y) (*.f64 z t)))) |
(/.f64 (neg.f64 x) #s(approx (- (* t z) 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 x (fma.f64 z t y)) |
(fma.f64 t z y) |
(fma.f64 z t y) |
t |
z |
y |
x |
(*.f64 (fma.f64 t z y) #s(approx (- (* t z) y) (*.f64 z t))) |
(*.f64 #s(approx (- (* t z) y) (*.f64 z t)) (fma.f64 z t y)) |
#s(approx (- (* t z) y) (*.f64 z t)) |
(*.f64 z t) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.07650375976844201 | (*.f64 (fma.f64 t z y) #s(approx (- (* t z) y) (*.f64 z t))) | |
| accuracy | 3.822072745063454 | (*.f64 (fma.f64 t z y) x) | |
| accuracy | 24.99250529590258 | (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) #s(approx (- (* t z) y) (*.f64 z t)))) | |
| accuracy | 31.761892072216995 | #s(approx (- (* t z) y) (*.f64 z t)) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 0.6408441364929458 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x)))) | |
| accuracy | 5.050772022515849 | (*.f64 (neg.f64 t) (/.f64 z x)) | |
| accuracy | 29.394686163039125 | #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x))) | |
| accuracy | 0 | (*.f64 z t) | |
| accuracy | 0.608198774172247 | (/.f64 #s(literal -1 binary64) (*.f64 z t)) | |
| accuracy | 2.7241307565127255 | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) | |
| accuracy | 31.77667655172712 | #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 2.7241307565127255 | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) | |
| accuracy | 31.304762769332314 | #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0.015625 | (-.f64 y (*.f64 t z)) | |
| accuracy | 0.6330316364929458 | (pow.f64 (/.f64 (fma.f64 t z y) x) #s(literal -1 binary64)) | |
| accuracy | 2.6546290909792623 | (/.f64 (fma.f64 t z y) x) | |
| accuracy | 8.704879008090078 | (/.f64 (-.f64 y (*.f64 t z)) (fma.f64 t z y)) |
| 223.0ms | 256× | 0 | valid |
Compiled 428 to 62 computations (85.5% saved)
ival-sub: 155.0ms (76.8% of total)ival-div: 14.0ms (6.9% of total)ival-mult: 11.0ms (5.5% of total)ival-pow: 11.0ms (5.5% of total)ival-neg: 8.0ms (4% of total)ival-add: 1.0ms (0.5% 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 (pow.f64 (/.f64 (fma.f64 t z y) x) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 (fma.f64 t z y) x) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (pow.f64 (/.f64 (-.f64 y (*.f64 t z)) (fma.f64 t z y)) #s(literal -1 binary64)) (patch (pow.f64 (/.f64 (-.f64 y (*.f64 t z)) (fma.f64 t z y)) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 t z y) x) (patch (/.f64 (fma.f64 t z y) x) #<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 #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 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) #s(approx (- (* t z) y) (*.f64 z t)))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) #s(approx (- (* t z) y) (*.f64 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>) () ()) |
#s(alt (/.f64 (-.f64 y (*.f64 t z)) (fma.f64 t z y)) (patch (/.f64 (-.f64 y (*.f64 t z)) (fma.f64 t z y)) #<representation binary64>) () ()) |
#s(alt (-.f64 y (*.f64 t z)) (patch (-.f64 y (*.f64 t z)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* t z) y) (*.f64 z t)) (patch #s(approx (- (* t z) y) (*.f64 z t)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 t z y) #s(approx (- (* t z) y) (*.f64 z t))) (patch (*.f64 (fma.f64 t z y) #s(approx (- (* t z) y) (*.f64 z t))) #<representation binary64>) () ()) |
| Outputs |
|---|
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#s(alt (/ y x) (taylor 0 t) (#s(alt (/.f64 (fma.f64 t z y) x) (patch (/.f64 (fma.f64 t z y) x) #<representation binary64>) () ())) ()) |
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#s(alt (+ (/ y x) (/ (* t z) x)) (taylor 0 t) (#s(alt (/.f64 (fma.f64 t z y) x) (patch (/.f64 (fma.f64 t z y) x) #<representation binary64>) () ())) ()) |
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#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) y)) (patch #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- (/ (* t (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 (+ (* 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>) () ())) ()) |
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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>) () ())) ()) |
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#s(alt (/ y x) (taylor 0 t) (#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 (+ (* -1 (/ (* t z) x)) (/ y x)) (taylor 0 t) (#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 (+ (* -1 (/ (* t z) x)) (/ y x)) (taylor 0 t) (#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>) () ())) ()) |
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#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (/ x (- y (* t z))) (taylor -inf x) (#s(alt (*.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))) (patch (*.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))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* t z)) x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 t z y) x) (patch (/.f64 (fma.f64 t z y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* t z)) x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 t z y) x) (patch (/.f64 (fma.f64 t z y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* t z)) x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 t z y) x) (patch (/.f64 (fma.f64 t z y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* t z)) x) (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 #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 (/ x (- y (* t z))) (taylor -inf x) (#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 (/ x (- y (* t z))) (taylor -inf x) (#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 (/ x (- y (* t z))) (taylor -inf x) (#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 (/ x (- y (* t z))) (taylor -inf x) (#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 z))) (taylor -inf x) (#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 z))) (taylor -inf x) (#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 z))) (taylor -inf x) (#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 z))) (taylor -inf x) (#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 (/ x (- y (* t z))) (taylor -inf x) (#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 (/ x (- y (* t z))) (taylor -inf x) (#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 (/ x (- y (* t z))) (taylor -inf x) (#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 (/ (- y (* t z)) x) (taylor -inf x) (#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 (/ (- y (* t z)) x) (taylor -inf x) (#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 (/ (- y (* t z)) x) (taylor -inf x) (#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 (/ (- y (* t z)) x) (taylor -inf x) (#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 (* -1 (/ (* t z) x)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 t) (/.f64 z x)) (patch (*.f64 (neg.f64 t) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t z) x)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 t) (/.f64 z x)) (patch (*.f64 (neg.f64 t) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t z) x)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 t) (/.f64 z x)) (patch (*.f64 (neg.f64 t) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (* t z) x)) (taylor -inf x) (#s(alt (*.f64 (neg.f64 t) (/.f64 z x)) (patch (*.f64 (neg.f64 t) (/.f64 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) #s(approx (- (* t z) y) (*.f64 z t)))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) #s(approx (- (* t z) y) (*.f64 z t)))) #<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) #s(approx (- (* t z) y) (*.f64 z t)))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) #s(approx (- (* t z) y) (*.f64 z t)))) #<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) #s(approx (- (* t z) y) (*.f64 z t)))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) #s(approx (- (* t z) y) (*.f64 z t)))) #<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) #s(approx (- (* t z) y) (*.f64 z t)))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) #s(approx (- (* t z) y) (*.f64 z t)))) #<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>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 9.0ms | y | @ | 0 | ((pow (/ (+ (* t z) y) x) -1) (pow (/ (- y (* t z)) (+ (* t z) y)) -1) (* (pow (/ (+ (* t z) y) x) -1) (pow (/ (- y (* t z)) (+ (* t z) y)) -1)) (/ (+ (* t z) y) x) (* (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) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (neg t) (/ z x)) (neg t) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (/ (- y (* t z)) (+ (* t z) y)) (- y (* t z)) (- (* t z) y) (* (+ (* t z) y) (- (* t z) y))) |
| 6.0ms | t | @ | inf | ((pow (/ (+ (* t z) y) x) -1) (pow (/ (- y (* t z)) (+ (* t z) y)) -1) (* (pow (/ (+ (* t z) y) x) -1) (pow (/ (- y (* t z)) (+ (* t z) y)) -1)) (/ (+ (* t z) y) x) (* (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) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (neg t) (/ z x)) (neg t) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (/ (- y (* t z)) (+ (* t z) y)) (- y (* t z)) (- (* t z) y) (* (+ (* t z) y) (- (* t z) y))) |
| 4.0ms | x | @ | -inf | ((pow (/ (+ (* t z) y) x) -1) (pow (/ (- y (* t z)) (+ (* t z) y)) -1) (* (pow (/ (+ (* t z) y) x) -1) (pow (/ (- y (* t z)) (+ (* t z) y)) -1)) (/ (+ (* t z) y) x) (* (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) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (neg t) (/ z x)) (neg t) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (/ (- y (* t z)) (+ (* t z) y)) (- y (* t z)) (- (* t z) y) (* (+ (* t z) y) (- (* t z) y))) |
| 3.0ms | z | @ | inf | ((pow (/ (+ (* t z) y) x) -1) (pow (/ (- y (* t z)) (+ (* t z) y)) -1) (* (pow (/ (+ (* t z) y) x) -1) (pow (/ (- y (* t z)) (+ (* t z) y)) -1)) (/ (+ (* t z) y) x) (* (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) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (neg t) (/ z x)) (neg t) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (/ (- y (* t z)) (+ (* t z) y)) (- y (* t z)) (- (* t z) y) (* (+ (* t z) y) (- (* t z) y))) |
| 3.0ms | x | @ | inf | ((pow (/ (+ (* t z) y) x) -1) (pow (/ (- y (* t z)) (+ (* t z) y)) -1) (* (pow (/ (+ (* t z) y) x) -1) (pow (/ (- y (* t z)) (+ (* t z) y)) -1)) (/ (+ (* t z) y) x) (* (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) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (neg t) (/ z x)) (neg t) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (/ (- y (* t z)) (+ (* t z) y)) (- y (* t z)) (- (* t z) y) (* (+ (* t z) y) (- (* t z) y))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 1110 | 11896 |
| 1 | 3671 | 11118 |
| 0 | 8107 | 10702 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ x y) |
(+ (* -1 (/ (* t (* x z)) (pow y 2))) (/ x y)) |
(+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (/ (* x z) (pow y 2)))) (/ x y)) |
(+ (* t (- (* t (- (* -1 (/ (* t (* x (pow z 3))) (pow y 4))) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (/ (* x z) (pow y 2)))) (/ x y)) |
1 |
(+ 1 (* t (- (/ z y) (* -1 (/ z y))))) |
(+ 1 (* t (- (+ (/ z y) (/ (* t (* z (- (/ z y) (* -1 (/ z y))))) y)) (* -1 (/ z y))))) |
(+ 1 (* t (- (+ (* t (- (/ (* t (* (pow z 2) (- (/ z y) (* -1 (/ z y))))) (pow y 2)) (* -1 (/ (* z (- (/ z y) (* -1 (/ z y)))) y)))) (/ z y)) (* -1 (/ 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)) |
(/ y x) |
(+ (/ y x) (/ (* t z) x)) |
(+ (/ y x) (/ (* t z) x)) |
(+ (/ y x) (/ (* t z) x)) |
(/ 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)) (* -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)) (/ (* 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 |
(+ 1 (* t (- (* -1 (/ z y)) (/ z y)))) |
(+ 1 (* t (- (+ (* -1 (/ z y)) (* -1 (/ (* t (* z (- (* -1 (/ z y)) (/ z y)))) y))) (/ z y)))) |
(+ 1 (* t (- (+ (* -1 (/ z y)) (* t (- (/ (* t (* (pow z 2) (- (* -1 (/ z y)) (/ z y)))) (pow y 2)) (/ (* z (- (* -1 (/ z y)) (/ z y))) y)))) (/ z y)))) |
y |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(* -1 y) |
(- (* t z) y) |
(- (* t z) y) |
(- (* t z) y) |
(* -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))))) |
(/ x (* t z)) |
(/ (+ (* -1 (/ (* x y) (* t (pow z 2)))) (/ x z)) t) |
(/ (- (+ (/ x z) (/ (* x (pow y 2)) (* (pow t 2) (pow z 3)))) (/ (* x y) (* t (pow z 2)))) t) |
(/ (- (+ (* -1 (/ (* x (pow y 3)) (* (pow t 3) (pow z 4)))) (/ x z)) (+ (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3)))) (/ (* x y) (* t (pow z 2))))) t) |
-1 |
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(* -1 (* t (+ (* -1 z) (/ y t)))) |
(* -1 (* t (+ (* -1 z) (/ y t)))) |
(* (pow t 2) (pow z 2)) |
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y |
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(- (* t z) y) |
(- (* t z) y) |
(* -1 (pow y 2)) |
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-1 |
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(/ (- (+ (* -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)) |
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(/ (- (* -1 (/ (pow y 2) (* (pow t 3) (pow z 2)))) (+ (/ 1 t) (/ y (* (pow t 2) z)))) z) |
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(/ (- (+ (* -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)) |
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(/ (- (* -1 (/ (pow y 3) (* (pow t 4) (pow z 3)))) (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) z) |
(/ -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 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) |
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(* -1 (/ (* t z) x)) |
(* -1 (/ x (* t 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) |
(/ (+ (* -1 (/ x t)) (+ (* -1 (/ (* x y) (* (pow t 2) z))) (+ (* -1 (/ (* x (pow y 2)) (* (pow t 3) (pow z 2)))) (* -1 (/ (* x (pow y 3)) (* (pow t 4) (pow z 3))))))) z) |
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(* t (* x z)) |
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(* z (+ (* t x) (/ (* x y) z))) |
(* t z) |
(* z (+ t (/ y z))) |
(* z (+ t (/ y z))) |
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(* (pow t 2) (pow z 2)) |
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(+ (* t (* x z)) (* x y)) |
(+ (* t (* x z)) (* x y)) |
(* t z) |
(+ y (* t z)) |
(+ y (* t z)) |
(+ y (* t z)) |
-1 |
(- (* 2 (/ y (* t z))) 1) |
(- (* y (+ (* -2 (/ y (* (pow t 2) (pow z 2)))) (* 2 (/ 1 (* t z))))) 1) |
(- (* y (+ (* y (- (* 2 (/ y (* (pow t 3) (pow z 3)))) (* 2 (/ 1 (* (pow t 2) (pow z 2)))))) (* 2 (/ 1 (* t z))))) 1) |
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(- y (* t z)) |
(- y (* t z)) |
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(+ (* -1 y) (* t z)) |
(* (pow t 2) (pow z 2)) |
(+ (* y (+ (* -1 (* t z)) (* t z))) (* (pow t 2) (pow z 2))) |
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1 |
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(* y (+ (/ 1 x) (/ (* t z) (* x y)))) |
(/ x y) |
(/ (+ x (/ (* t (* x z)) y)) y) |
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(/ 1 y) |
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(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ x y) |
(/ (+ x (/ (* t (* x z)) y)) y) |
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(/ (- (+ 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) |
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(/ (- (+ 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 (/ (* (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) |
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(* 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) |
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(* 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))) |
1 |
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(- (+ 1 (+ (* -1 (/ (* t z) y)) (* -1 (/ (* t (* z (- (* -1 (* t z)) (* t z)))) (pow y 2))))) (/ (* t z) y)) |
(- (+ 1 (+ (* -1 (/ (* t z) y)) (/ (* (pow t 2) (* (pow z 2) (- (* -1 (* t z)) (* t z)))) (pow y 3)))) (+ (/ (* t z) y) (/ (* t (* z (- (* -1 (* t z)) (* t z)))) (pow y 2)))) |
y |
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(* y (+ 1 (* -1 (/ (* t z) y)))) |
(* -1 y) |
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(* y (- (/ (* t z) y) 1)) |
(* -1 (pow y 2)) |
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(* (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)) |
(/ x y) |
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(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (* (pow t 2) (* x (pow z 2))) y) (* t (* x z))) y))) y)) |
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1 |
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(/ x y) |
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(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* t (* x z)) (/ (* (pow t 2) (* x (pow z 2))) y)) y))) y)) |
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(/ y x) |
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(* -1 (* y (- (* -1 (/ (* 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)) |
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(/ 1 y) |
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(* -1 (/ (- (* -1 (/ (- (/ (* (pow t 2) (pow z 2)) y) (* -1 (* t z))) y)) 1) y)) |
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(/ 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)) |
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(/ 1 y) |
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(* -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)) |
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(* -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)) |
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(* -1 (* x y)) |
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(* 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 |
(- (+ 1 (* -1 (/ (* t z) y))) (/ (* t z) y)) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (* t z)) (* t z))) (/ (* t (* z (- (* -1 (* t z)) (* t z)))) y)) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* -1 (* t z)) (* t z))) (* -1 (/ (+ (* -1 (* t (* z (- (* -1 (* t z)) (* t z))))) (/ (* (pow t 2) (* (pow z 2) (- (* -1 (* t z)) (* t z)))) y)) y))) y))) |
y |
(* -1 (* y (- (/ (* t z) y) 1))) |
(* -1 (* y (- (/ (* t z) y) 1))) |
(* -1 (* 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))))) |
(* -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))) |
(/ 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) |
(/ 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))) |
(/ (- 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)) |
(* -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))) |
(/ 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) |
(/ 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))) |
(/ (- 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)) |
(* -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))) |
(/ 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) |
(/ 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))) |
(/ (- 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)) |
(* -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) |
(+ (* -1 (/ (* t (* x z)) (pow y 2))) (/ x y)) |
(fma.f64 (/.f64 (neg.f64 t) y) (/.f64 (*.f64 z x) y) (/.f64 x y)) |
(+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (/ (* x z) (pow y 2)))) (/ x y)) |
(fma.f64 (fma.f64 t (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 3 binary64))) (*.f64 (/.f64 (neg.f64 x) y) (/.f64 z y))) t (/.f64 x y)) |
(+ (* t (- (* t (- (* -1 (/ (* t (* x (pow z 3))) (pow y 4))) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (/ (* x z) (pow y 2)))) (/ x y)) |
(fma.f64 (fma.f64 (fma.f64 (neg.f64 t) (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 3 binary64)))) t (*.f64 (/.f64 (neg.f64 x) y) (/.f64 z y))) t (/.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* t (- (/ z y) (* -1 (/ z y))))) |
(fma.f64 (+.f64 (/.f64 z y) (/.f64 z y)) t #s(literal 1 binary64)) |
(+ 1 (* t (- (+ (/ z y) (/ (* t (* z (- (/ z y) (* -1 (/ z y))))) y)) (* -1 (/ z y))))) |
(fma.f64 (+.f64 (fma.f64 t (/.f64 (*.f64 (+.f64 (/.f64 z y) (/.f64 z y)) z) y) (/.f64 z y)) (/.f64 z y)) t #s(literal 1 binary64)) |
(+ 1 (* t (- (+ (* t (- (/ (* t (* (pow z 2) (- (/ z y) (* -1 (/ z y))))) (pow y 2)) (* -1 (/ (* z (- (/ z y) (* -1 (/ z y)))) y)))) (/ z y)) (* -1 (/ z y))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z z) t) y) (/.f64 (+.f64 (/.f64 z y) (/.f64 z y)) y) (/.f64 (*.f64 (+.f64 (/.f64 z y) (/.f64 z y)) z) y)) t (+.f64 (/.f64 z y) (/.f64 z y))) t #s(literal 1 binary64)) |
(/ 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 z y) (/.f64 x y) (/.f64 (*.f64 (*.f64 (*.f64 z z) x) 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 t (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 z z) 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) |
(+ (/ y x) (/ (* t z) x)) |
(fma.f64 t (/.f64 z x) (/.f64 y x)) |
(+ (/ y x) (/ (* t z) x)) |
(fma.f64 t (/.f64 z x) (/.f64 y x)) |
(+ (/ y x) (/ (* t z) x)) |
(fma.f64 t (/.f64 z x) (/.f64 y x)) |
(/ 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 z y) (/.f64 x y) (/.f64 (*.f64 (*.f64 (*.f64 z z) x) 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 t (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 z z) 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 t (/.f64 (*.f64 z z) (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 t (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 z 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 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 z y) (/.f64 x y) (/.f64 (*.f64 (*.f64 (*.f64 z z) x) 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 t (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 z z) 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 t (/.f64 (*.f64 z z) (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 t (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 z 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)) |
(/.f64 #s(literal -1 binary64) (*.f64 z t)) |
(/ -1 (* t z)) |
(/.f64 #s(literal -1 binary64) (*.f64 z t)) |
(/ -1 (* t z)) |
(/.f64 #s(literal -1 binary64) (*.f64 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 (*.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 z y) (/.f64 x y) (/.f64 (*.f64 (*.f64 (*.f64 z z) x) 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 t (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 z z) 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 (neg.f64 t) (/.f64 z x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -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)) (/ (* x z) (pow y 2)))) (/ x y)) |
(fma.f64 (fma.f64 (/.f64 z y) (/.f64 x y) (/.f64 (*.f64 (*.f64 (*.f64 z z) x) t) (pow.f64 y #s(literal 3 binary64)))) t (/.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 t (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 z z) 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 x) y) |
(- (* -1 (* t (* x z))) (* x y)) |
(neg.f64 (fma.f64 (*.f64 z x) t (*.f64 y x))) |
(- (* -1 (* t (* x z))) (* x y)) |
(neg.f64 (fma.f64 (*.f64 z x) t (*.f64 y x))) |
(- (* -1 (* t (* x z))) (* x y)) |
(neg.f64 (fma.f64 (*.f64 z x) t (*.f64 y x))) |
(* x y) |
(*.f64 y x) |
(+ (* t (* x z)) (* x y)) |
(fma.f64 (*.f64 z x) t (*.f64 y x)) |
(+ (* t (* x z)) (* x y)) |
(fma.f64 (*.f64 z x) t (*.f64 y x)) |
(+ (* t (* x z)) (* x y)) |
(fma.f64 (*.f64 z x) t (*.f64 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 |
#s(literal 1 binary64) |
(+ 1 (* t (- (* -1 (/ z y)) (/ z y)))) |
(fma.f64 (*.f64 (/.f64 z y) #s(literal -2 binary64)) t #s(literal 1 binary64)) |
(+ 1 (* t (- (+ (* -1 (/ z y)) (* -1 (/ (* t (* z (- (* -1 (/ z y)) (/ z y)))) y))) (/ z y)))) |
(fma.f64 (-.f64 (neg.f64 (fma.f64 t (/.f64 (*.f64 (*.f64 (/.f64 z y) #s(literal -2 binary64)) z) y) (/.f64 z y))) (/.f64 z y)) t #s(literal 1 binary64)) |
(+ 1 (* t (- (+ (* -1 (/ z y)) (* t (- (/ (* t (* (pow z 2) (- (* -1 (/ z y)) (/ z y)))) (pow y 2)) (/ (* z (- (* -1 (/ z y)) (/ z y))) y)))) (/ z y)))) |
(fma.f64 (-.f64 (fma.f64 (-.f64 (*.f64 (/.f64 (*.f64 (*.f64 z z) t) y) (/.f64 (*.f64 (/.f64 z y) #s(literal -2 binary64)) y)) (/.f64 (*.f64 (*.f64 (/.f64 z y) #s(literal -2 binary64)) z) y)) t (/.f64 (neg.f64 z) y)) (/.f64 z y)) t #s(literal 1 binary64)) |
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 y) |
(neg.f64 y) |
(- (* t z) y) |
(fma.f64 z t (neg.f64 y)) |
(- (* t z) y) |
(fma.f64 z t (neg.f64 y)) |
(- (* t z) y) |
(fma.f64 z t (neg.f64 y)) |
(* -1 (pow y 2)) |
(*.f64 (neg.f64 y) y) |
(+ (* -1 (pow y 2)) (* t (+ (* -1 (* y z)) (* y z)))) |
(fma.f64 #s(literal 0 binary64) t (*.f64 (neg.f64 y) y)) |
(+ (* -1 (pow y 2)) (* t (+ (* -1 (* y z)) (+ (* t (pow z 2)) (* y z))))) |
(fma.f64 (fma.f64 (neg.f64 y) z (fma.f64 (*.f64 z z) t (*.f64 z y))) t (*.f64 (neg.f64 y) y)) |
(+ (* -1 (pow y 2)) (* t (+ (* -1 (* y z)) (+ (* t (pow z 2)) (* y z))))) |
(fma.f64 (fma.f64 (neg.f64 y) z (fma.f64 (*.f64 z z) t (*.f64 z y))) t (*.f64 (neg.f64 y) y)) |
(/ x (* t z)) |
(/.f64 x (*.f64 z t)) |
(/ (+ (* -1 (/ (* x y) (* t (pow z 2)))) (/ x z)) t) |
(/.f64 (fma.f64 (neg.f64 x) (/.f64 y (*.f64 (*.f64 z z) t)) (/.f64 x z)) t) |
(/ (- (+ (/ x z) (/ (* x (pow y 2)) (* (pow t 2) (pow z 3)))) (/ (* x y) (* t (pow z 2)))) t) |
(/.f64 (+.f64 (/.f64 x z) (*.f64 x (-.f64 (*.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 y (*.f64 t t))) (/.f64 y (*.f64 (*.f64 z z) t))))) t) |
(/ (- (+ (* -1 (/ (* x (pow y 3)) (* (pow t 3) (pow z 4)))) (/ x z)) (+ (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3)))) (/ (* x y) (* t (pow z 2))))) t) |
(/.f64 (-.f64 (-.f64 (/.f64 x z) (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) x) (*.f64 (pow.f64 z #s(literal 4 binary64)) (pow.f64 t #s(literal 3 binary64))))) (fma.f64 (neg.f64 (/.f64 x (*.f64 t t))) (/.f64 (*.f64 y y) (pow.f64 z #s(literal 3 binary64))) (*.f64 (/.f64 x (*.f64 z z)) (/.f64 y t)))) t) |
-1 |
#s(literal -1 binary64) |
(- (* -1 (/ y (* t z))) (+ 1 (/ y (* t z)))) |
(-.f64 (fma.f64 (/.f64 y (*.f64 z t)) #s(literal -1 binary64) #s(literal -1 binary64)) (/.f64 y (*.f64 z t))) |
(- (+ (* -1 (/ y (* t z))) (/ (* y (- (* -1 (/ y z)) (/ y z))) (* (pow t 2) z))) (+ 1 (/ y (* t z)))) |
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(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 z) t y) x) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 z) t y) x) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 z) t y) x) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 z) t y) x) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z 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))) |
(/.f64 x (fma.f64 z t y)) |
(/ x (+ y (* t z))) |
(/.f64 x (fma.f64 z t y)) |
(/ x (+ y (* t z))) |
(/.f64 x (fma.f64 z t y)) |
(/ x (+ y (* t z))) |
(/.f64 x (fma.f64 z t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ (+ y (* t z)) x) |
(/.f64 (fma.f64 z t y) x) |
(/ (+ y (* t z)) x) |
(/.f64 (fma.f64 z t y) x) |
(/ (+ y (* t z)) x) |
(/.f64 (fma.f64 z t y) x) |
(/ (+ y (* t z)) x) |
(/.f64 (fma.f64 z t y) x) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 z) t y) x) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 z) t y) x) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 z) t y) x) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 z) t y) x) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z 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))) |
(/.f64 x (fma.f64 z t y)) |
(/ x (+ y (* t z))) |
(/.f64 x (fma.f64 z t y)) |
(/ x (+ y (* t z))) |
(/.f64 x (fma.f64 z t y)) |
(/ x (+ y (* t z))) |
(/.f64 x (fma.f64 z t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ (+ y (* t z)) x) |
(/.f64 (fma.f64 z t y) x) |
(/ (+ y (* t z)) x) |
(/.f64 (fma.f64 z t y) x) |
(/ (+ y (* t z)) x) |
(/.f64 (fma.f64 z t y) x) |
(/ (+ y (* t z)) x) |
(/.f64 (fma.f64 z t y) x) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 z) t y) x) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 z) t y) x) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 z) t y) x) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 z) t y) x) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z 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) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 225 |
| 0 | 59 | 223 |
| 1 | 197 | 207 |
| 2 | 1191 | 197 |
| 0 | 8862 | 197 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(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 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 (fma.f64 t z y) x) |
(*.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 #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 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) #s(approx (- (* t z) y) (*.f64 z t)))) |
(neg.f64 (*.f64 (fma.f64 t z y) x)) |
(*.f64 (fma.f64 t z y) x) |
(fma.f64 t z y) |
(/.f64 (-.f64 y (*.f64 t z)) (fma.f64 t z y)) |
(-.f64 y (*.f64 t z)) |
#s(approx (- (* t z) y) (*.f64 z t)) |
(*.f64 (fma.f64 t z y) #s(approx (- (* t z) y) (*.f64 z t))) |
| Outputs |
|---|
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Compiled 62 889 to 5 912 computations (90.6% saved)
13 alts after pruning (8 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 359 | 7 | 2 366 |
| Fresh | 4 | 1 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 2 | 2 |
| Total | 2 365 | 13 | 2 378 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 85.5% | (/.f64 (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) (/.f64 (fma.f64 z t y) x)) |
| ▶ | 25.7% | (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 #s(approx (+ (* t z) y) (*.f64 z t)) #s(approx (- (* t z) y) (*.f64 z t)))) |
| ▶ | 48.4% | (/.f64 (neg.f64 x) #s(approx (- (* t z) y) (*.f64 z t))) |
| ✓ | 95.6% | (/.f64 x (-.f64 y (*.f64 z t))) |
| 49.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (/.f64 (neg.f64 t) (/.f64 x z)))) | |
| ▶ | 49.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x)))) |
| ✓ | 50.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x)))) |
| 48.1% | (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* t z) y) (*.f64 z t)) x)) | |
| ▶ | 48.7% | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) x) |
| ✓ | 55.1% | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) |
| ✓ | 48.4% | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) |
| 49.2% | #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (/.f64 (neg.f64 x) t) z)) | |
| ✓ | 55.3% | #s(approx (/ x (- y (* z t))) (/.f64 x y)) |
Compiled 198 to 192 computations (3% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(approx (+ (* t z) y) (*.f64 z t)) #s(approx (- (* t z) y) (*.f64 z t))) | |
| 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 | (neg.f64 z) | |
| cost-diff | 0 | (*.f64 (neg.f64 z) (/.f64 t x)) | |
| cost-diff | 0 | #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x))) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) t) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal -1 binary64) t) z) | |
| cost-diff | 0 | #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) | |
| cost-diff | 0 | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) x) | |
| cost-diff | 0 | (*.f64 z t) | |
| cost-diff | 0 | #s(approx (- (* t z) y) (*.f64 z t)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (/.f64 (neg.f64 x) #s(approx (- (* t z) y) (*.f64 z t))) | |
| cost-diff | 0 | (-.f64 y (*.f64 z t)) | |
| cost-diff | 0 | (fma.f64 z t y) | |
| cost-diff | 0 | (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) | |
| cost-diff | 2176 | (/.f64 (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) (/.f64 (fma.f64 z t y) x)) |
Useful iterations: 4 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 248 |
| 0 | 56 | 248 |
| 1 | 114 | 248 |
| 2 | 228 | 248 |
| 3 | 552 | 240 |
| 4 | 1221 | 238 |
| 5 | 2884 | 238 |
| 6 | 6714 | 238 |
| 0 | 8316 | 238 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) (/.f64 (fma.f64 z t y) x)) |
(/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) |
(fma.f64 z t y) |
z |
t |
y |
(-.f64 y (*.f64 z t)) |
(*.f64 z t) |
(/.f64 (fma.f64 z t y) x) |
x |
(/.f64 (neg.f64 x) #s(approx (- (* t z) y) (*.f64 z t))) |
(neg.f64 x) |
x |
#s(approx (- (* t z) y) (*.f64 z t)) |
(*.f64 z t) |
z |
t |
(*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) x) |
#s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) |
(/.f64 (/.f64 #s(literal -1 binary64) t) z) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
z |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x)))) |
#s(literal 1 binary64) |
#s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x))) |
(*.f64 (neg.f64 z) (/.f64 t x)) |
(neg.f64 z) |
z |
(/.f64 t x) |
t |
x |
(/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 #s(approx (+ (* t z) y) (*.f64 z t)) #s(approx (- (* t z) y) (*.f64 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 |
(*.f64 #s(approx (+ (* t z) y) (*.f64 z t)) #s(approx (- (* t z) y) (*.f64 z t))) |
#s(approx (+ (* t z) y) (*.f64 z t)) |
(*.f64 z t) |
#s(approx (- (* t z) y) (*.f64 z t)) |
| Outputs |
|---|
(/.f64 (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) (/.f64 (fma.f64 z t y) x)) |
(/.f64 x (-.f64 y (*.f64 t z))) |
(/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) |
(/.f64 (fma.f64 t z y) (-.f64 y (*.f64 t z))) |
(fma.f64 z t y) |
(fma.f64 t z y) |
z |
t |
y |
(-.f64 y (*.f64 z t)) |
(-.f64 y (*.f64 t z)) |
(*.f64 z t) |
(*.f64 t z) |
(/.f64 (fma.f64 z t y) x) |
(/.f64 (fma.f64 t z y) x) |
x |
(/.f64 (neg.f64 x) #s(approx (- (* t z) y) (*.f64 z t))) |
(/.f64 (neg.f64 x) #s(approx (- (* t z) y) (*.f64 t z))) |
(neg.f64 x) |
x |
#s(approx (- (* t z) y) (*.f64 z t)) |
#s(approx (- (* t z) y) (*.f64 t z)) |
(*.f64 z t) |
(*.f64 t z) |
z |
t |
(*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) x) |
#s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) |
(/.f64 (/.f64 #s(literal -1 binary64) t) z) |
(/.f64 #s(literal -1 binary64) t) |
#s(literal -1 binary64) |
t |
z |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 (neg.f64 z) x) t))) |
#s(literal 1 binary64) |
#s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x))) |
#s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 (neg.f64 z) x) t)) |
(*.f64 (neg.f64 z) (/.f64 t x)) |
(*.f64 (/.f64 (neg.f64 z) x) t) |
(neg.f64 z) |
z |
(/.f64 t x) |
t |
x |
(/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 #s(approx (+ (* t z) y) (*.f64 z t)) #s(approx (- (* t z) y) (*.f64 z t)))) |
(*.f64 (/.f64 (fma.f64 t z y) #s(approx (+ (* t z) y) (*.f64 t z))) (/.f64 (neg.f64 x) #s(approx (- (* t z) y) (*.f64 t z)))) |
(neg.f64 (*.f64 (fma.f64 t z y) x)) |
(*.f64 (neg.f64 x) (fma.f64 t z y)) |
(*.f64 (fma.f64 t z y) x) |
(*.f64 x (fma.f64 t z y)) |
(fma.f64 t z y) |
t |
z |
y |
x |
(*.f64 #s(approx (+ (* t z) y) (*.f64 z t)) #s(approx (- (* t z) y) (*.f64 z t))) |
(*.f64 #s(approx (+ (* t z) y) (*.f64 t z)) #s(approx (- (* t z) y) (*.f64 t z))) |
#s(approx (+ (* t z) y) (*.f64 z t)) |
#s(approx (+ (* t z) y) (*.f64 t z)) |
(*.f64 z t) |
(*.f64 t z) |
#s(approx (- (* t z) y) (*.f64 z t)) |
#s(approx (- (* t z) y) (*.f64 t z)) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 3.822072745063454 | (*.f64 (fma.f64 t z y) x) | |
| accuracy | 24.99250529590258 | (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 #s(approx (+ (* t z) y) (*.f64 z t)) #s(approx (- (* t z) y) (*.f64 z t)))) | |
| accuracy | 31.665237857462262 | #s(approx (+ (* t z) y) (*.f64 z t)) | |
| accuracy | 31.761892072216995 | #s(approx (- (* t z) y) (*.f64 z t)) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.6408441364929458 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x)))) | |
| accuracy | 5.435279405647331 | (*.f64 (neg.f64 z) (/.f64 t x)) | |
| accuracy | 29.394686163039125 | #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x))) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) t) | |
| accuracy | 0.234375 | (/.f64 (/.f64 #s(literal -1 binary64) t) z) | |
| accuracy | 2.7241307565127255 | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) x) | |
| accuracy | 31.77667655172712 | #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) | |
| accuracy | 0 | (*.f64 z t) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 2.8177962220876362 | (/.f64 (neg.f64 x) #s(approx (- (* t z) y) (*.f64 z t))) | |
| accuracy | 31.761892072216995 | #s(approx (- (* t z) y) (*.f64 z t)) | |
| accuracy | 0.015625 | (-.f64 y (*.f64 z t)) | |
| accuracy | 0.6369378864929458 | (/.f64 (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) (/.f64 (fma.f64 z t y) x)) | |
| accuracy | 2.6546290909792623 | (/.f64 (fma.f64 z t y) x) | |
| accuracy | 8.70716401785852 | (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) |
| 93.0ms | 256× | 0 | valid |
Compiled 387 to 63 computations (83.7% saved)
ival-mult: 29.0ms (49.3% of total)ival-div: 15.0ms (25.5% of total)ival-sub: 4.0ms (6.8% of total)ival-pow: 4.0ms (6.8% of total)ival-add: 3.0ms (5.1% of total)ival-neg: 3.0ms (5.1% 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 (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) (/.f64 (fma.f64 z t y) x)) (patch (/.f64 (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) (/.f64 (fma.f64 z t y) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) (patch (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) #<representation binary64>) () ()) |
#s(alt (fma.f64 z t y) (patch (fma.f64 z t y) #<representation binary64>) () ()) |
#s(alt (-.f64 y (*.f64 z t)) (patch (-.f64 y (*.f64 z t)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 x) #s(approx (- (* t z) y) (*.f64 z t))) (patch (/.f64 (neg.f64 x) #s(approx (- (* t z) y) (*.f64 z t))) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* t z) y) (*.f64 z t)) (patch #s(approx (- (* t z) y) (*.f64 z t)) #<representation binary64>) () ()) |
#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) x) (patch (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) (patch #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal -1 binary64) t) z) (patch (/.f64 (/.f64 #s(literal -1 binary64) t) z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) t) (patch (/.f64 #s(literal -1 binary64) t) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x)))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x))) (patch #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 z) (/.f64 t x)) (patch (*.f64 (neg.f64 z) (/.f64 t x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<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 #s(approx (+ (* t z) y) (*.f64 z t)) #s(approx (- (* t z) y) (*.f64 z t))) (patch (*.f64 #s(approx (+ (* t z) y) (*.f64 z t)) #s(approx (- (* t z) y) (*.f64 z t))) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 z t y) x) (patch (/.f64 (fma.f64 z t y) x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* t z) y) (*.f64 z t)) (patch #s(approx (+ (* t z) y) (*.f64 z t)) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 #s(approx (+ (* t z) y) (*.f64 z t)) #s(approx (- (* t z) y) (*.f64 z t)))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 #s(approx (+ (* t z) y) (*.f64 z t)) #s(approx (- (* t z) y) (*.f64 z t)))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x y) (taylor 0 t) (#s(alt (/.f64 (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) (/.f64 (fma.f64 z t y) x)) (patch (/.f64 (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) (/.f64 (fma.f64 z t y) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x y) (/ (* t (* x z)) (pow y 2))) (taylor 0 t) (#s(alt (/.f64 (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) (/.f64 (fma.f64 z t y) x)) (patch (/.f64 (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) (/.f64 (fma.f64 z t y) 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 (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) (/.f64 (fma.f64 z t y) x)) (patch (/.f64 (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) (/.f64 (fma.f64 z t y) 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 (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) (/.f64 (fma.f64 z t y) x)) (patch (/.f64 (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) (/.f64 (fma.f64 z t y) x)) #<representation binary64>) () ())) ()) |
#s(alt 1 (taylor 0 t) (#s(alt (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) (patch (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* t (- (/ z y) (* -1 (/ z y))))) (taylor 0 t) (#s(alt (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) (patch (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* t (- (+ (/ z y) (/ (* t (* z (- (/ z y) (* -1 (/ z y))))) y)) (* -1 (/ z y))))) (taylor 0 t) (#s(alt (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) (patch (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* t (- (+ (* t (- (/ (* t (* (pow z 2) (- (/ z y) (* -1 (/ z y))))) (pow y 2)) (* -1 (/ (* z (- (/ z y) (* -1 (/ z y)))) y)))) (/ z y)) (* -1 (/ z y))))) (taylor 0 t) (#s(alt (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) (patch (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 t) (#s(alt (fma.f64 z t y) (patch (fma.f64 z t y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* t z)) (taylor 0 t) (#s(alt (fma.f64 z t y) (patch (fma.f64 z t y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* t z)) (taylor 0 t) (#s(alt (fma.f64 z t y) (patch (fma.f64 z t y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* t z)) (taylor 0 t) (#s(alt (fma.f64 z t y) (patch (fma.f64 z t y) #<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 (/ x y) (taylor 0 t) (#s(alt (/.f64 (neg.f64 x) #s(approx (- (* t z) y) (*.f64 z t))) (patch (/.f64 (neg.f64 x) #s(approx (- (* t z) y) (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x y) (/ (* t (* x z)) (pow y 2))) (taylor 0 t) (#s(alt (/.f64 (neg.f64 x) #s(approx (- (* t z) y) (*.f64 z t))) (patch (/.f64 (neg.f64 x) #s(approx (- (* t z) y) (*.f64 z t))) #<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 x) #s(approx (- (* t z) y) (*.f64 z t))) (patch (/.f64 (neg.f64 x) #s(approx (- (* t z) y) (*.f64 z t))) #<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 x) #s(approx (- (* t z) y) (*.f64 z t))) (patch (/.f64 (neg.f64 x) #s(approx (- (* t z) y) (*.f64 z t))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 t) (#s(alt #s(approx (- (* t z) y) (*.f64 z t)) (patch #s(approx (- (* t z) y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (- (* t z) y) (taylor 0 t) (#s(alt #s(approx (- (* t z) y) (*.f64 z t)) (patch #s(approx (- (* t z) y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (- (* t z) y) (taylor 0 t) (#s(alt #s(approx (- (* t z) y) (*.f64 z t)) (patch #s(approx (- (* t z) y) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (- (* t z) y) (taylor 0 t) (#s(alt #s(approx (- (* t z) y) (*.f64 z t)) (patch #s(approx (- (* t z) 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 (/ x y) (taylor 0 t) (#s(alt (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) x) (patch (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) 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 (/.f64 #s(literal -1 binary64) t) z)) x) (patch (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) 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(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) x) (patch (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) 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(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) x) (patch (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 t) (#s(alt #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) (patch #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 y) (/ (* t z) (pow y 2))) (taylor 0 t) (#s(alt #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) (patch #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- (/ (* t (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 (/.f64 #s(literal -1 binary64) t) z)) (patch #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) #<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 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) (patch #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* t z)) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) t) z) (patch (/.f64 (/.f64 #s(literal -1 binary64) t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* t z)) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) t) z) (patch (/.f64 (/.f64 #s(literal -1 binary64) t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* t z)) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) t) z) (patch (/.f64 (/.f64 #s(literal -1 binary64) t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 (* t z)) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal -1 binary64) t) z) (patch (/.f64 (/.f64 #s(literal -1 binary64) t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1 binary64) t) (patch (/.f64 #s(literal -1 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1 binary64) t) (patch (/.f64 #s(literal -1 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1 binary64) t) (patch (/.f64 #s(literal -1 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 t) (taylor 0 t) (#s(alt (/.f64 #s(literal -1 binary64) t) (patch (/.f64 #s(literal -1 binary64) t) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x y) (/ (* t (* x z)) (pow y 2))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 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(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 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(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x)))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 t) (#s(alt #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x))) (patch #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t z) x)) (/ y x)) (taylor 0 t) (#s(alt #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x))) (patch #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t z) x)) (/ y x)) (taylor 0 t) (#s(alt #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x))) (patch #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x))) #<representation binary64>) () ())) ()) |
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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>) () ())) ()) |
#s(alt (/ (+ y (* t z)) x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 z t y) x) (patch (/.f64 (fma.f64 z t y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* t z)) x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 z t y) x) (patch (/.f64 (fma.f64 z t y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* t z)) x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 z t y) x) (patch (/.f64 (fma.f64 z t y) x) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* t z)) x) (taylor -inf x) (#s(alt (/.f64 (fma.f64 z t y) x) (patch (/.f64 (fma.f64 z t y) 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 #s(approx (+ (* t z) y) (*.f64 z t)) #s(approx (- (* t z) y) (*.f64 z t)))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 #s(approx (+ (* t z) y) (*.f64 z t)) #s(approx (- (* t z) y) (*.f64 z t)))) #<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 #s(approx (+ (* t z) y) (*.f64 z t)) #s(approx (- (* t z) y) (*.f64 z t)))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 #s(approx (+ (* t z) y) (*.f64 z t)) #s(approx (- (* t z) y) (*.f64 z t)))) #<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 #s(approx (+ (* t z) y) (*.f64 z t)) #s(approx (- (* t z) y) (*.f64 z t)))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 #s(approx (+ (* t z) y) (*.f64 z t)) #s(approx (- (* t z) y) (*.f64 z t)))) #<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 #s(approx (+ (* t z) y) (*.f64 z t)) #s(approx (- (* t z) y) (*.f64 z t)))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 #s(approx (+ (* t z) y) (*.f64 z t)) #s(approx (- (* t z) y) (*.f64 z t)))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | x | @ | inf | ((/ (/ (+ (* z t) y) (- y (* z t))) (/ (+ (* z t) y) x)) (/ (+ (* z t) y) (- y (* z t))) (+ (* z t) y) (- y (* z t)) (/ (neg x) (- (* t z) y)) (neg x) (- (* t z) y) (* z t) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ (/ -1 t) z) (/ -1 t) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (neg z) (/ t x)) (neg z) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (* (+ (* t z) y) (- (* t z) y)) (/ (+ (* z t) y) x) (+ (* t z) y) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y)))) |
| 2.0ms | x | @ | -inf | ((/ (/ (+ (* z t) y) (- y (* z t))) (/ (+ (* z t) y) x)) (/ (+ (* z t) y) (- y (* z t))) (+ (* z t) y) (- y (* z t)) (/ (neg x) (- (* t z) y)) (neg x) (- (* t z) y) (* z t) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ (/ -1 t) z) (/ -1 t) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (neg z) (/ t x)) (neg z) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (* (+ (* t z) y) (- (* t z) y)) (/ (+ (* z t) y) x) (+ (* t z) y) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y)))) |
| 2.0ms | z | @ | inf | ((/ (/ (+ (* z t) y) (- y (* z t))) (/ (+ (* z t) y) x)) (/ (+ (* z t) y) (- y (* z t))) (+ (* z t) y) (- y (* z t)) (/ (neg x) (- (* t z) y)) (neg x) (- (* t z) y) (* z t) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ (/ -1 t) z) (/ -1 t) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (neg z) (/ t x)) (neg z) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (* (+ (* t z) y) (- (* t z) y)) (/ (+ (* z t) y) x) (+ (* t z) y) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y)))) |
| 2.0ms | t | @ | inf | ((/ (/ (+ (* z t) y) (- y (* z t))) (/ (+ (* z t) y) x)) (/ (+ (* z t) y) (- y (* z t))) (+ (* z t) y) (- y (* z t)) (/ (neg x) (- (* t z) y)) (neg x) (- (* t z) y) (* z t) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ (/ -1 t) z) (/ -1 t) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (neg z) (/ t x)) (neg z) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (* (+ (* t z) y) (- (* t z) y)) (/ (+ (* z t) y) x) (+ (* t z) y) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y)))) |
| 2.0ms | t | @ | 0 | ((/ (/ (+ (* z t) y) (- y (* z t))) (/ (+ (* z t) y) x)) (/ (+ (* z t) y) (- y (* z t))) (+ (* z t) y) (- y (* z t)) (/ (neg x) (- (* t z) y)) (neg x) (- (* t z) y) (* z t) (* (pow (- y (* t z)) -1) x) (pow (- y (* t z)) -1) (/ (/ -1 t) z) (/ -1 t) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (neg z) (/ t x)) (neg z) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (* (+ (* t z) y) (- (* t z) y)) (/ (+ (* z t) y) x) (+ (* t z) y) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 853 | 9913 |
| 1 | 2802 | 9143 |
| 0 | 8377 | 8769 |
| 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 |
(+ 1 (* t (- (/ z y) (* -1 (/ z y))))) |
(+ 1 (* t (- (+ (/ z y) (/ (* t (* z (- (/ z y) (* -1 (/ z y))))) y)) (* -1 (/ z y))))) |
(+ 1 (* t (- (+ (* t (- (/ (* t (* (pow z 2) (- (/ z y) (* -1 (/ z y))))) (pow y 2)) (* -1 (/ (* z (- (/ z y) (* -1 (/ z y)))) y)))) (/ z y)) (* -1 (/ z y))))) |
y |
(+ y (* t z)) |
(+ y (* t z)) |
(+ y (* t z)) |
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)) (/ (* 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 y) |
(- (* t z) y) |
(- (* t z) y) |
(- (* t z) y) |
(* 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)) |
(/ 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)) |
(/ -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 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 (* 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))))) |
(/ y x) |
(+ (/ y x) (/ (* t z) x)) |
(+ (/ y x) (/ (* t z) x)) |
(+ (/ y x) (/ (* t z) x)) |
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)) (/ (* x (pow z 2)) (pow y 3)))) (/ (* x z) (pow y 2)))) (/ x y)) |
(* -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 |
(- (* -1 (/ y (* t z))) (+ 1 (/ y (* t z)))) |
(- (+ (* -1 (/ y (* t z))) (/ (* y (- (* -1 (/ y z)) (/ y z))) (* (pow t 2) z))) (+ 1 (/ y (* t z)))) |
(- (+ (* -1 (/ y (* t z))) (/ (* (pow y 2) (- (* -1 (/ y z)) (/ y z))) (* (pow t 3) (pow z 2)))) (+ 1 (+ (* -1 (/ (* y (- (* -1 (/ y z)) (/ y z))) (* (pow t 2) z))) (/ y (* t z))))) |
(* t z) |
(* t (+ z (/ y t))) |
(* t (+ z (/ y t))) |
(* t (+ z (/ y t))) |
(* -1 (* t z)) |
(* t (- (/ y t) z)) |
(* t (- (/ y t) z)) |
(* t (- (/ y 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) |
(* t z) |
(* t (+ z (* -1 (/ y t)))) |
(* t (+ z (* -1 (/ y t)))) |
(* t (+ z (* -1 (/ y t)))) |
(* 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)) |
(/ (- (* -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 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) 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 (* 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))))) |
(/ (* t z) x) |
(* t (+ (/ y (* t x)) (/ z x))) |
(* t (+ (/ y (* t x)) (/ z x))) |
(* t (+ (/ y (* t x)) (/ z x))) |
(* t z) |
(* t (+ z (/ y t))) |
(* t (+ z (/ y t))) |
(* t (+ z (/ y 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) |
(* -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 |
(- (* -1 (/ (- (/ y z) (* -1 (/ y z))) t)) 1) |
(- (* -1 (/ (- (+ (/ y z) (/ (* y (- (/ y z) (* -1 (/ y z)))) (* t z))) (* -1 (/ y z))) t)) 1) |
(- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (/ y z) (* -1 (/ y z)))) (* t (pow z 2)))) (/ (* y (- (/ y z) (* -1 (/ y z)))) z)) t)) (/ y z)) (* -1 (/ y z))) t)) 1) |
(* t z) |
(* -1 (* t (+ (* -1 z) (* -1 (/ y t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ y t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ y 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 (/ 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)) |
(* t z) |
(* -1 (* t (+ (* -1 z) (/ y t)))) |
(* -1 (* t (+ (* -1 z) (/ y t)))) |
(* -1 (* t (+ (* -1 z) (/ y t)))) |
(* 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 (/ (+ (/ 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 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) 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 (* 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))) |
(/ (* t z) x) |
(* -1 (* t (+ (* -1 (/ y (* t x))) (* -1 (/ z x))))) |
(* -1 (* t (+ (* -1 (/ y (* t x))) (* -1 (/ z x))))) |
(* -1 (* t (+ (* -1 (/ y (* t x))) (* -1 (/ z x))))) |
(* t z) |
(* -1 (* t (+ (* -1 z) (* -1 (/ y t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ y t))))) |
(* -1 (* t (+ (* -1 z) (* -1 (/ y t))))) |
(* -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)) |
(/ 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)) |
1 |
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(+ 1 (* z (- (+ (/ t y) (/ (* t (* z (- (/ t y) (* -1 (/ t y))))) y)) (* -1 (/ t y))))) |
(+ 1 (* z (- (+ (* z (- (/ (* (pow t 2) (* z (- (/ t y) (* -1 (/ t y))))) (pow y 2)) (* -1 (/ (* t (- (/ t y) (* -1 (/ t y)))) y)))) (/ t y)) (* -1 (/ t y))))) |
y |
(+ y (* t z)) |
(+ y (* t z)) |
(+ y (* t z)) |
y |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
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(+ (/ 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 y) |
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(- (* t z) y) |
(- (* t z) y) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
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(+ (* 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)) |
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(/ y x) |
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(+ (* -1 (/ (* t z) x)) (/ y x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
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(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
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(- (* -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)) (* z (+ (* -1 (* t y)) (* t y)))) |
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(+ (* -1 (pow y 2)) (* z (+ (* -1 (* t y)) (+ (* t y) (* (pow t 2) z))))) |
(/ y x) |
(+ (/ y x) (/ (* t z) x)) |
(+ (/ y x) (/ (* t z) x)) |
(+ (/ y x) (/ (* t z) x)) |
y |
(+ y (* t z)) |
(+ y (* t z)) |
(+ y (* 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)) |
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(/ (+ (* -1 (/ x t)) (* -1 (/ (* x y) (* (pow t 2) z)))) z) |
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(/ (- (+ (* -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 |
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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)))) (* -1 (/ (* x (pow y 3)) (* (pow t 4) (pow z 3))))))) z) |
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(* t z) |
(* t z) |
(* t z) |
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(/ (+ (* -1 (/ x t)) (* -1 (/ (* x y) (* (pow t 2) z)))) z) |
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(/ (- (+ (* -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) |
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(/ (- (* -1 (/ (pow y 2) (* (pow t 3) (pow z 2)))) (+ (/ 1 t) (/ y (* (pow t 2) z)))) z) |
(/ (- (* -1 (/ (pow y 3) (* (pow t 4) (pow z 3)))) (+ (/ 1 t) (+ (/ y (* (pow t 2) z)) (/ (pow y 2) (* (pow t 3) (pow z 2)))))) z) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(/ -1 (* 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) |
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(* -1 (/ (* t z) x)) |
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(* z (+ t (/ y z))) |
(* (pow t 2) (pow z 2)) |
(* (pow z 2) (+ (* -1 (/ (* t y) z)) (+ (/ (* 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))))) |
(* (pow z 2) (+ (* -1 (/ (* t y) z)) (+ (* -1 (/ (pow y 2) (pow z 2))) (+ (/ (* t y) z) (pow t 2))))) |
(/ (* t z) x) |
(* z (+ (/ t x) (/ y (* x z)))) |
(* z (+ (/ t x) (/ y (* x z)))) |
(* z (+ (/ t x) (/ y (* x z)))) |
(* t z) |
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(* z (+ t (/ y z))) |
(* z (+ t (/ y z))) |
(* -1 (/ x (* t z))) |
(/ (+ (* -1 (/ x t)) (* -1 (/ (* x y) (* (pow t 2) z)))) z) |
(/ (+ (* -1 (/ x t)) (+ (* -1 (/ (* x y) (* (pow t 2) z))) (* -1 (/ (* x (pow y 2)) (* (pow t 3) (pow z 2)))))) z) |
(/ (+ (* -1 (/ x t)) (+ (* -1 (/ (* x y) (* (pow t 2) z))) (+ (* -1 (/ (* x (pow y 2)) (* (pow t 3) (pow z 2)))) (* -1 (/ (* x (pow y 3)) (* (pow t 4) (pow z 3))))))) 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 |
(- (* -1 (/ (- (/ y t) (* -1 (/ y t))) z)) 1) |
(- (* -1 (/ (- (+ (/ y t) (/ (* y (- (/ y t) (* -1 (/ y t)))) (* t z))) (* -1 (/ y t))) z)) 1) |
(- (* -1 (/ (- (+ (* -1 (/ (- (* -1 (/ (* (pow y 2) (- (/ y t) (* -1 (/ y t)))) (* (pow t 2) z))) (/ (* y (- (/ y t) (* -1 (/ y t)))) t)) z)) (/ y t)) (* -1 (/ y t))) z)) 1) |
(* t z) |
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(* -1 (* z (+ (* -1 t) (* -1 (/ y z))))) |
(* -1 (* z (+ (* -1 t) (* -1 (/ y 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)))) |
(* -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)) |
(* t z) |
(* -1 (* z (+ (* -1 t) (/ y z)))) |
(* -1 (* z (+ (* -1 t) (/ y z)))) |
(* -1 (* z (+ (* -1 t) (/ y z)))) |
(* 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 (/ (+ (/ 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)) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(/ -1 (* 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 (* z (+ (* -1 (/ y (* x z))) (/ t x)))) |
(* -1 (* z (+ (* -1 (/ y (* x z))) (/ t x)))) |
(* -1 (* z (+ (* -1 (/ y (* x z))) (/ t x)))) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 (* t (* x z))) |
(* -1 (* z (- (/ (* x y) z) (* -1 (* t x))))) |
(* -1 (* z (- (/ (* x y) z) (* -1 (* t x))))) |
(* -1 (* z (- (/ (* x y) z) (* -1 (* t x))))) |
(* t (* x z)) |
(* -1 (* z (+ (* -1 (* t x)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (* t x)) (* -1 (/ (* x y) z))))) |
(* -1 (* z (+ (* -1 (* t x)) (* -1 (/ (* x y) z))))) |
(* t z) |
(* -1 (* z (+ (* -1 t) (* -1 (/ y z))))) |
(* -1 (* z (+ (* -1 t) (* -1 (/ y z))))) |
(* -1 (* z (+ (* -1 t) (* -1 (/ y z))))) |
(* (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) x) |
(* -1 (* z (+ (* -1 (/ t x)) (* -1 (/ y (* x z)))))) |
(* -1 (* z (+ (* -1 (/ t x)) (* -1 (/ y (* x z)))))) |
(* -1 (* z (+ (* -1 (/ t x)) (* -1 (/ y (* x z)))))) |
(* t z) |
(* -1 (* z (+ (* -1 t) (* -1 (/ y z))))) |
(* -1 (* z (+ (* -1 t) (* -1 (/ y z))))) |
(* -1 (* z (+ (* -1 t) (* -1 (/ y z))))) |
(* -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)) |
(* -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 |
(- (* -2 (/ y (* t z))) 1) |
(- (* y (- (* -2 (/ y (* (pow t 2) (pow z 2)))) (* 2 (/ 1 (* t z))))) 1) |
(- (* y (- (* y (- (* -2 (/ y (* (pow t 3) (pow z 3)))) (* 2 (/ 1 (* (pow t 2) (pow z 2)))))) (* 2 (/ 1 (* t z))))) 1) |
(* t z) |
(+ y (* t z)) |
(+ y (* t z)) |
(+ y (* 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 (* (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))))))))) |
(* t z) |
(+ (* -1 y) (* t z)) |
(+ (* -1 y) (* t z)) |
(+ (* -1 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)))))) |
(/ -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 (/ 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)) |
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(- (* -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)) |
(* (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) x) |
(+ (/ y x) (/ (* t z) x)) |
(+ (/ y x) (/ (* t z) x)) |
(+ (/ y x) (/ (* t z) x)) |
(* 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 (* (pow t 3) (pow z 3)))) (* -1 (/ (* x y) (* (pow t 4) (pow z 4))))))))) |
(/ 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 |
(- (+ 1 (/ (* t z) y)) (* -1 (/ (* t z) y))) |
(- (+ 1 (+ (/ (* t z) y) (/ (* t (* z (- (* t z) (* -1 (* t z))))) (pow y 2)))) (* -1 (/ (* t z) y))) |
(- (+ 1 (+ (/ (* t z) y) (/ (* (pow t 2) (* (pow z 2) (- (* t z) (* -1 (* t z))))) (pow y 3)))) (+ (* -1 (/ (* t z) y)) (* -1 (/ (* t (* z (- (* t z) (* -1 (* t z))))) (pow y 2))))) |
y |
(* y (+ 1 (/ (* t z) y))) |
(* y (+ 1 (/ (* t z) y))) |
(* y (+ 1 (/ (* t z) 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 (+ (/ (* 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 y) |
(* y (- (/ (* t z) y) 1)) |
(* y (- (/ (* t z) y) 1)) |
(* y (- (/ (* t z) y) 1)) |
(/ 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 (/ (* (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))) |
(* -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))) |
(* -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)) |
(/ y x) |
(* y (+ (/ 1 x) (/ (* t z) (* x y)))) |
(* y (+ (/ 1 x) (/ (* t z) (* x y)))) |
(* y (+ (/ 1 x) (/ (* t z) (* x 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 2) (* x (pow z 2))) (pow y 2)) (/ (* (pow t 3) (* x (pow z 3))) (pow y 3))))) 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 |
(- (+ 1 (/ (* t z) y)) (* -1 (/ (* t z) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* t z) (* -1 (* t z)))) (* -1 (/ (* t (* z (- (* t z) (* -1 (* t z))))) y))) y))) |
(+ 1 (* -1 (/ (+ (* -1 (- (* t z) (* -1 (* t z)))) (* -1 (/ (+ (* t (* z (- (* t z) (* -1 (* t z))))) (/ (* (pow t 2) (* (pow z 2) (- (* t z) (* -1 (* t z))))) y)) y))) y))) |
y |
(* -1 (* y (- (* -1 (/ (* t z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (* t z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (* t z) y)) 1))) |
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)) |
(* -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) |
(* -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)) |
(/ 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)))) |
(* -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)) |
(/ y x) |
(* -1 (* y (- (* -1 (/ (* t z) (* x y))) (/ 1 x)))) |
(* -1 (* y (- (* -1 (/ (* t z) (* x y))) (/ 1 x)))) |
(* -1 (* y (- (* -1 (/ (* t z) (* x y))) (/ 1 x)))) |
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 2) (* x (pow z 2)))) (* -1 (/ (* (pow t 3) (* x (pow z 3))) y))) y)) (* t (* x z))) y))) y)) |
(/ 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 x) |
(* -1 x) |
(* -1 x) |
(/ 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)) |
(* -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))) |
(/ (+ 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))) |
(/ 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 x) |
(* -1 x) |
(* -1 x) |
(/ 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)) |
(* -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))) |
(/ (+ 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))) |
(/ 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 x) |
(* -1 x) |
(* -1 x) |
(/ 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)) |
(* -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))) |
(/ (+ 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))) |
| 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 z y) (/.f64 x y) (/.f64 (*.f64 (*.f64 (*.f64 z z) x) 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 t (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 3 binary64)))) t (*.f64 (/.f64 z y) (/.f64 x y))) t (/.f64 x y)) |
1 |
#s(literal 1 binary64) |
(+ 1 (* t (- (/ z y) (* -1 (/ z y))))) |
(fma.f64 (*.f64 #s(literal 2 binary64) (/.f64 z y)) t #s(literal 1 binary64)) |
(+ 1 (* t (- (+ (/ z y) (/ (* t (* z (- (/ z y) (* -1 (/ z y))))) y)) (* -1 (/ z y))))) |
(fma.f64 (fma.f64 (*.f64 z t) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 z y)) y) (*.f64 #s(literal 2 binary64) (/.f64 z y))) t #s(literal 1 binary64)) |
(+ 1 (* t (- (+ (* t (- (/ (* t (* (pow z 2) (- (/ z y) (* -1 (/ z y))))) (pow y 2)) (* -1 (/ (* z (- (/ z y) (* -1 (/ z y)))) y)))) (/ z y)) (* -1 (/ z y))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (*.f64 z t) z) y) (/.f64 (*.f64 #s(literal 2 binary64) (/.f64 z y)) y) (/.f64 (*.f64 (*.f64 #s(literal 2 binary64) (/.f64 z y)) z) y)) t (*.f64 #s(literal 2 binary64) (/.f64 z y))) t #s(literal 1 binary64)) |
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) |
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) |
(/ 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 z y) (/.f64 x y) (/.f64 (*.f64 (*.f64 (*.f64 z z) x) t) (pow.f64 y #s(literal 3 binary64)))) t (/.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 t (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 z z) x) (pow.f64 y #s(literal 3 binary64)))) t (*.f64 (/.f64 z y) (/.f64 x y))) t (/.f64 x y)) |
(* -1 y) |
(neg.f64 y) |
(- (* t z) y) |
(fma.f64 z t (neg.f64 y)) |
(- (* t z) y) |
(fma.f64 z t (neg.f64 y)) |
(- (* t z) y) |
(fma.f64 z t (neg.f64 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) |
(+ (/ 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 z y) (/.f64 x y) (/.f64 (*.f64 (*.f64 (*.f64 z z) x) 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 t (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 z z) 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 t (/.f64 (*.f64 z z) (pow.f64 y #s(literal 3 binary64))) (/.f64 (/.f64 z 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 t (/.f64 (pow.f64 z #s(literal 3 binary64)) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 z z) (pow.f64 y #s(literal 3 binary64)))) t (/.f64 (/.f64 z y) y)) t (/.f64 #s(literal 1 binary64) y)) |
(/ -1 (* t z)) |
(/.f64 (/.f64 #s(literal -1 binary64) t) z) |
(/ -1 (* t z)) |
(/.f64 (/.f64 #s(literal -1 binary64) t) z) |
(/ -1 (* t z)) |
(/.f64 (/.f64 #s(literal -1 binary64) t) z) |
(/ -1 (* t z)) |
(/.f64 (/.f64 #s(literal -1 binary64) t) z) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) t) |
(/ -1 t) |
(/.f64 #s(literal -1 binary64) 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 z y) (/.f64 x y) (/.f64 (*.f64 (*.f64 (*.f64 z z) x) 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 t (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) x) (pow.f64 y #s(literal 4 binary64))) (/.f64 (*.f64 (*.f64 z z) 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 t) z y) x) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -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 (*.f64 (*.f64 t t) z) z (*.f64 (neg.f64 y) y)) |
(+ (* -1 (pow y 2)) (* t (+ (* -1 (* y z)) (+ (* t (pow z 2)) (* y z))))) |
(fma.f64 (*.f64 (*.f64 t t) z) z (*.f64 (neg.f64 y) y)) |
(/ y x) |
(/.f64 y x) |
(+ (/ y x) (/ (* t z) x)) |
(fma.f64 (/.f64 t x) z (/.f64 y x)) |
(+ (/ y x) (/ (* t z) x)) |
(fma.f64 (/.f64 t x) z (/.f64 y x)) |
(+ (/ y x) (/ (* t z) x)) |
(fma.f64 (/.f64 t x) z (/.f64 y x)) |
y |
(+ y (* t z)) |
(fma.f64 z t y) |
(+ y (* t z)) |
(fma.f64 z t y) |
(+ y (* t z)) |
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(/ 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 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -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) |
(/ (+ y (* t z)) x) |
(/.f64 (fma.f64 z t y) x) |
(/ (+ y (* t z)) x) |
(/.f64 (fma.f64 z t y) x) |
(/ (+ y (* t z)) x) |
(/.f64 (fma.f64 z t y) x) |
(/ (+ y (* t z)) x) |
(/.f64 (fma.f64 z t 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))) |
(/ 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)) |
(* -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) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ 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)) |
(/ (- 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 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -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) |
(/ (+ y (* t z)) x) |
(/.f64 (fma.f64 z t y) x) |
(/ (+ y (* t z)) x) |
(/.f64 (fma.f64 z t y) x) |
(/ (+ y (* t z)) x) |
(/.f64 (fma.f64 z t y) x) |
(/ (+ y (* t z)) x) |
(/.f64 (fma.f64 z t 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))) |
(/ 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)) |
(* -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) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ 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)) |
(/ (- 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 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 t) (/.f64 z x)) |
(* -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) |
(/ (+ y (* t z)) x) |
(/.f64 (fma.f64 z t y) x) |
(/ (+ y (* t z)) x) |
(/.f64 (fma.f64 z t y) x) |
(/ (+ y (* t z)) x) |
(/.f64 (fma.f64 z t y) x) |
(/ (+ y (* t z)) x) |
(/.f64 (fma.f64 z t 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))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 211 |
| 0 | 56 | 211 |
| 1 | 233 | 210 |
| 2 | 1282 | 201 |
| 0 | 8898 | 201 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) (/.f64 (fma.f64 z t y) x)) |
(/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) |
(fma.f64 z t y) |
(-.f64 y (*.f64 z t)) |
(/.f64 (neg.f64 x) #s(approx (- (* t z) y) (*.f64 z t))) |
(neg.f64 x) |
#s(approx (- (* t z) y) (*.f64 z t)) |
(*.f64 z t) |
(*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) x) |
#s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) |
(/.f64 (/.f64 #s(literal -1 binary64) t) z) |
(/.f64 #s(literal -1 binary64) t) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x)))) |
#s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x))) |
(*.f64 (neg.f64 z) (/.f64 t x)) |
(neg.f64 z) |
(neg.f64 (*.f64 (fma.f64 t z y) x)) |
(*.f64 (fma.f64 t z y) x) |
(fma.f64 t z y) |
(*.f64 #s(approx (+ (* t z) y) (*.f64 z t)) #s(approx (- (* t z) y) (*.f64 z t))) |
(/.f64 (fma.f64 z t y) x) |
#s(approx (+ (* t z) y) (*.f64 z t)) |
(/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 #s(approx (+ (* t z) y) (*.f64 z t)) #s(approx (- (* t z) y) (*.f64 z t)))) |
| Outputs |
|---|
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Compiled 54 886 to 4 898 computations (91.1% saved)
13 alts after pruning (4 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 319 | 1 | 2 320 |
| Fresh | 0 | 3 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 5 | 5 |
| Total | 2 320 | 13 | 2 333 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 85.5% | (/.f64 (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) (/.f64 (fma.f64 z t y) x)) |
| 28.2% | (/.f64 (neg.f64 (*.f64 #s(approx (+ (* t z) y) (*.f64 z t)) x)) (*.f64 #s(approx (+ (* t z) y) (*.f64 z t)) #s(approx (- (* t z) y) (*.f64 z t)))) | |
| ✓ | 48.4% | (/.f64 (neg.f64 x) #s(approx (- (* t z) y) (*.f64 z t))) |
| ✓ | 95.6% | (/.f64 x (-.f64 y (*.f64 z t))) |
| 49.7% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (/.f64 (neg.f64 t) (/.f64 x z)))) | |
| ✓ | 49.3% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x)))) |
| ✓ | 50.1% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x)))) |
| 48.1% | (/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* t z) y) (*.f64 z t)) x)) | |
| ✓ | 48.7% | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) x) |
| ✓ | 55.1% | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal 1 binary64) y)) x) |
| ✓ | 48.4% | (*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) |
| 49.2% | #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (/.f64 (neg.f64 x) t) z)) | |
| ✓ | 55.3% | #s(approx (/ x (- y (* z t))) (/.f64 x y)) |
Compiled 429 to 225 computations (47.6% 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 (neg.f64 x) #s(approx (- (* t z) y) (*.f64 z t))) |
(/.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 (/.f64 (neg.f64 x) t) z)) |
(*.f64 #s(approx (pow (- y (* t z)) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) x) |
(/.f64 #s(literal -1 binary64) (/.f64 #s(approx (- (* t z) y) (*.f64 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) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 z) (/.f64 t x)))) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (/.f64 (neg.f64 t) (/.f64 x z)))) |
(/.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)) (*.f64 #s(approx (+ (* t z) y) (*.f64 z t)) #s(approx (- (* t z) y) (*.f64 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 #s(approx (+ (* t z) y) (*.f64 z t)) #s(approx (- (* t z) y) (*.f64 z t)))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) #s(approx (- (* t z) y) (*.f64 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))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (-.f64 (/.f64 (/.f64 y z) x) (/.f64 t x)) z))) |
(/.f64 (/.f64 (fma.f64 z t y) (-.f64 y (*.f64 z t))) (/.f64 (fma.f64 z t y) x)) |
#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) |
#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 (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))) |
| Outputs |
|---|
#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (/.f64 (neg.f64 x) t) z)) |
(/.f64 x (-.f64 y (*.f64 z t))) |
7 calls:
| 12.0ms | (*.f64 z t) |
| 9.0ms | z |
| 9.0ms | (/.f64 x (-.f64 y (*.f64 z t))) |
| 7.0ms | x |
| 7.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 1 | x |
| 95.6% | 1 | y |
| 95.6% | 1 | z |
| 95.6% | 1 | t |
| 95.6% | 1 | (/.f64 x (-.f64 y (*.f64 z t))) |
| 98.7% | 2 | (-.f64 y (*.f64 z t)) |
| 98.7% | 2 | (*.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 (neg.f64 x) #s(approx (- (* t z) y) (*.f64 z t))) |
(/.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))) |
6 calls:
| 5.0ms | (*.f64 z t) |
| 3.0ms | x |
| 3.0ms | z |
| 3.0ms | t |
| 2.0ms | (-.f64 y (*.f64 z t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.6% | 1 | x |
| 95.6% | 1 | z |
| 95.6% | 1 | t |
| 95.6% | 1 | (/.f64 x (-.f64 y (*.f64 z t))) |
| 95.6% | 1 | (-.f64 y (*.f64 z t)) |
| 95.6% | 1 | (*.f64 z t) |
Compiled 18 to 30 computations (-66.7% 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 (neg.f64 x) #s(approx (- (* t z) y) (*.f64 z t))) |
| Outputs |
|---|
#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)) |
7 calls:
| 8.0ms | (-.f64 y (*.f64 z t)) |
| 2.0ms | y |
| 2.0ms | t |
| 2.0ms | x |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.2% | 3 | (*.f64 z t) |
| 79.4% | 3 | y |
| 59.1% | 2 | x |
| 71.9% | 3 | z |
| 73.8% | 3 | t |
| 62.3% | 3 | (/.f64 x (-.f64 y (*.f64 z t))) |
| 62.7% | 3 | (-.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)) |
7 calls:
| 3.0ms | y |
| 2.0ms | (-.f64 y (*.f64 z t)) |
| 2.0ms | x |
| 2.0ms | t |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 55.3% | 1 | x |
| 55.3% | 1 | (/.f64 x (-.f64 y (*.f64 z t))) |
| 55.3% | 1 | (-.f64 y (*.f64 z t)) |
| 55.3% | 1 | z |
| 55.3% | 1 | t |
| 55.3% | 1 | (*.f64 z t) |
| 55.3% | 1 | y |
Compiled 19 to 34 computations (-78.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | -inf | -1.143659013630931e+293 |
Compiled 10 to 14 computations (-40% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 14.0ms | 7.657424980368285e+25 | 7.607892863547319e+28 |
| 12.0ms | -11282721804.537039 | -230716765.63863814 |
| 11.0ms | 240× | 0 | valid |
Compiled 175 to 254 computations (-45.1% saved)
ival-div: 2.0ms (39.2% of total)ival-mult: 2.0ms (39.2% of total)ival-sub: 1.0ms (19.6% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 100 |
| 1 | 53 | 100 |
| 2 | 68 | 100 |
| 3 | 79 | 100 |
| 4 | 84 | 100 |
| 5 | 85 | 100 |
| 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 (/.f64 (neg.f64 x) t) z)) (/.f64 x (-.f64 y (*.f64 z t)))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(if (<=.f64 y #s(literal -300000000 binary64)) #s(approx (/ x (- y (* z t))) (/.f64 x y)) (if (<=.f64 y #s(literal 125000000000000001660944384 binary64)) (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) #s(approx (/ x (- y (* z t))) (/.f64 x y)))) |
#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 (/.f64 (neg.f64 x) t) z)) (/.f64 x (-.f64 y (*.f64 z 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 (/.f64 (neg.f64 x) t) z)) (/.f64 x (-.f64 y (*.f64 t z)))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/.f64 x (-.f64 y (*.f64 t z))) |
(if (<=.f64 y #s(literal -300000000 binary64)) #s(approx (/ x (- y (* z t))) (/.f64 x y)) (if (<=.f64 y #s(literal 125000000000000001660944384 binary64)) (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) #s(approx (/ x (- y (* z t))) (/.f64 x y)))) |
#s(approx (/ x (- y (* z t))) (/.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 793 | 10788 |
| 1 | 2587 | 9938 |
| 0 | 8066 | 9540 |
| 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 |
Compiled 79 to 57 computations (27.8% saved)
(negabs x)
Compiled 436 to 272 computations (37.6% saved)
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