
Time bar (total: 8.7s)
| 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)
| 893.0ms | 8 256× | 0 | valid |
ival-mult: 387.0ms (72.5% of total)ival-div: 97.0ms (18.2% of total)ival-sub: 40.0ms (7.5% of total)ival-true: 6.0ms (1.1% of total)ival-assert: 3.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 8 | 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 | 8 | 0 |
| ↳ | (-.f64 y (*.f64 z t)) | overflow | 35 | |
| ↳ | (*.f64 z t) | overflow | 35 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 8 | 0 |
| - | 0 | 248 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 8 | 0 | 0 |
| - | 0 | 0 | 248 |
| number | freq |
|---|---|
| 0 | 248 |
| 1 | 8 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 29.0ms | 512× | 0 | valid |
Compiled 49 to 25 computations (49% saved)
ival-sub: 5.0ms (36.7% of total)ival-div: 4.0ms (29.4% of total)ival-mult: 4.0ms (29.4% 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 |
|---|---|---|
| ▶ | 96.9% | (/.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 | 0.0078125 | (-.f64 y (*.f64 z t)) | |
| accuracy | 1.9601970362134233 | (/.f64 x (-.f64 y (*.f64 z t))) |
| 17.0ms | 256× | 0 | valid |
Compiled 21 to 9 computations (57.1% saved)
ival-mult: 6.0ms (63.1% of total)ival-div: 2.0ms (21% of total)ival-sub: 1.0ms (10.5% 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 | |
|---|---|---|---|---|
| 10.0ms | 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)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 443 | 12 | 455 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 444 | 12 | 456 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 51.4% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 t z) y) (/.f64 (-.f64 (*.f64 t z) y) x))) |
| ▶ | 53.4% | (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) |
| ▶ | 96.9% | (/.f64 x (fma.f64 (neg.f64 z) t y)) |
| 86.1% | (/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y))) | |
| 54.4% | (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) | |
| ▶ | 96.1% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) |
| 52.8% | (*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) | |
| 96.6% | (*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 t z) y) #s(literal -1 binary64))) | |
| 96.7% | (*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) | |
| 45.9% | #s(approx (/ x (- y (* z t))) (/.f64 (fma.f64 (/.f64 x (*.f64 z z)) (/.f64 y t) (/.f64 x z)) (neg.f64 t))) | |
| 43.7% | #s(approx (/ x (- y (* z t))) (/.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (/.f64 x t)) (neg.f64 z))) | |
| ▶ | 52.3% | #s(approx (/ x (- y (* z t))) (/.f64 x y)) |
Compiled 334 to 254 computations (24% saved)
| 1× | egg-herbie |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 192 | (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) | |
| cost-diff | 320 | (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64)) | |
| cost-diff | 1536 | (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) | |
| cost-diff | 2048 | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 t z) y) (/.f64 (-.f64 (*.f64 t z) y) x))) | |
| 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 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 (neg.f64 z) t y) | |
| cost-diff | 0 | (/.f64 x (fma.f64 (neg.f64 z) t y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 218 |
| 0 | 51 | 159 |
| 1 | 111 | 159 |
| 2 | 312 | 159 |
| 3 | 1230 | 159 |
| 4 | 3655 | 159 |
| 5 | 7504 | 159 |
| 0 | 8195 | 159 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
x |
(fma.f64 (neg.f64 z) t y) |
(neg.f64 z) |
z |
t |
y |
#s(approx (/ x (- y (* z t))) (/.f64 x y)) |
(/.f64 x y) |
x |
y |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 y (*.f64 t z)) x) |
(-.f64 y (*.f64 t z)) |
y |
(*.f64 t z) |
t |
z |
x |
(/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) |
(neg.f64 (*.f64 (fma.f64 t z y) x)) |
(*.f64 (fma.f64 t z y) x) |
(fma.f64 t z y) |
t |
z |
y |
x |
(*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y)) |
(-.f64 (*.f64 t z) y) |
(*.f64 t z) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 t z) y) (/.f64 (-.f64 (*.f64 t z) y) x))) |
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) |
(*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) |
#s(literal 0 binary64) |
(/.f64 (-.f64 (*.f64 t z) y) x) |
(-.f64 (*.f64 t z) y) |
(*.f64 t z) |
t |
z |
y |
x |
(*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64)) |
#s(literal 1 binary64) |
(*.f64 (-.f64 (*.f64 t z) y) (/.f64 (-.f64 (*.f64 t z) y) x)) |
| Outputs |
|---|
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/.f64 x (fma.f64 t (neg.f64 z) y)) |
x |
(fma.f64 (neg.f64 z) t y) |
(fma.f64 t (neg.f64 z) y) |
(neg.f64 z) |
z |
t |
y |
#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 (fma.f64 t (neg.f64 z) y)) |
#s(literal 1 binary64) |
(/.f64 (-.f64 y (*.f64 t z)) x) |
(/.f64 (fma.f64 t (neg.f64 z) y) x) |
(-.f64 y (*.f64 t z)) |
(fma.f64 t (neg.f64 z) y) |
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))) |
(/.f64 x (fma.f64 t (neg.f64 z) y)) |
(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) |
(fma.f64 t z y) |
t |
z |
y |
x |
(*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y)) |
(*.f64 (-.f64 (*.f64 t z) y) (fma.f64 t z y)) |
(-.f64 (*.f64 t z) y) |
(*.f64 t z) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 t z) y) (/.f64 (-.f64 (*.f64 t z) y) x))) |
(/.f64 x (fma.f64 t (neg.f64 z) y)) |
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) |
(fma.f64 t (neg.f64 z) y) |
(*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) |
#s(literal 0 binary64) |
#s(literal 0 binary64) |
(/.f64 (-.f64 (*.f64 t z) y) x) |
(-.f64 (*.f64 t z) y) |
(*.f64 t z) |
t |
z |
y |
x |
(*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64)) |
(-.f64 (*.f64 t z) y) |
#s(literal 1 binary64) |
(*.f64 (-.f64 (*.f64 t z) y) (/.f64 (-.f64 (*.f64 t z) y) x)) |
(*.f64 (/.f64 (-.f64 (*.f64 t z) y) x) (-.f64 (*.f64 t z) y)) |
Found 17 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.09603500976844201 | (*.f64 (-.f64 (*.f64 t z) y) (/.f64 (-.f64 (*.f64 t z) y) x)) | |
| accuracy | 1.9526697322815747 | (/.f64 (-.f64 (*.f64 t z) y) x) | |
| accuracy | 16.98037380398618 | (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) | |
| accuracy | 20.82318511825852 | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 t z) y) (/.f64 (-.f64 (*.f64 t z) y) x))) | |
| accuracy | 0.0078125 | (-.f64 (*.f64 t z) y) | |
| accuracy | 0.10546875 | (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y)) | |
| accuracy | 3.7658457440866675 | (*.f64 (fma.f64 t z y) x) | |
| accuracy | 25.5767329441233 | (/.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 | 0.0078125 | (-.f64 y (*.f64 t z)) | |
| accuracy | 0.6019151267835109 | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) | |
| accuracy | 1.9526697322815747 | (/.f64 (-.f64 y (*.f64 t z)) x) | |
| accuracy | 0 | (/.f64 x y) | |
| accuracy | 30.50630672348597 | #s(approx (/ x (- y (* z t))) (/.f64 x y)) | |
| accuracy | 0 | (fma.f64 (neg.f64 z) t y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 1.9601970362134233 | (/.f64 x (fma.f64 (neg.f64 z) t y)) |
| 58.0ms | 256× | 0 | valid |
Compiled 224 to 32 computations (85.7% saved)
ival-div: 15.0ms (41.9% of total)ival-mult: 11.0ms (30.7% of total)ival-sub: 5.0ms (14% of total)ival-add: 2.0ms (5.6% of total)ival-neg: 2.0ms (5.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 x (fma.f64 (neg.f64 z) t y)) (patch (/.f64 x (fma.f64 (neg.f64 z) t y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 z) t y) (patch (fma.f64 (neg.f64 z) t y) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 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 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 (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 (fma.f64 t z y) x)) (patch (neg.f64 (*.f64 (fma.f64 t z y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 t z y) x) (patch (*.f64 (fma.f64 t z y) x) #<representation binary64>) () ()) |
#s(alt (fma.f64 t z y) (patch (fma.f64 t z y) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 t z) y) (/.f64 (-.f64 (*.f64 t z) y) x))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 t z) y) (/.f64 (-.f64 (*.f64 t z) y) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (patch (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64)) (patch (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) (patch (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y)) (patch (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y)) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 t z) y) (patch (-.f64 (*.f64 t z) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 (*.f64 t z) y) x) (patch (/.f64 (-.f64 (*.f64 t z) y) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 (*.f64 t z) y) (/.f64 (-.f64 (*.f64 t z) y) x)) (patch (*.f64 (-.f64 (*.f64 t z) y) (/.f64 (-.f64 (*.f64 t z) y) x)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x y) (taylor 0 t) (#s(alt (/.f64 x (fma.f64 (neg.f64 z) t y)) (patch (/.f64 x (fma.f64 (neg.f64 z) t y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x y) (/ (* t (* x z)) (pow y 2))) (taylor 0 t) (#s(alt (/.f64 x (fma.f64 (neg.f64 z) t y)) (patch (/.f64 x (fma.f64 (neg.f64 z) t 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 (/.f64 x (fma.f64 (neg.f64 z) t y)) (patch (/.f64 x (fma.f64 (neg.f64 z) t 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 (/.f64 x (fma.f64 (neg.f64 z) t y)) (patch (/.f64 x (fma.f64 (neg.f64 z) t y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 t) (#s(alt (fma.f64 (neg.f64 z) t y) (patch (fma.f64 (neg.f64 z) t y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 z) t y) (patch (fma.f64 (neg.f64 z) t y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 z) t y) (patch (fma.f64 (neg.f64 z) t y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 t) (#s(alt (fma.f64 (neg.f64 z) t y) (patch (fma.f64 (neg.f64 z) t y) #<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 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 (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x y) (/ (* t (* x z)) (pow y 2))) (taylor 0 t) (#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (/ (* t (* x (pow z 2))) (pow y 3)) (/ (* x z) (pow y 2)))) (/ x y)) (taylor 0 t) (#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* t (+ (/ (* t (* x (pow z 3))) (pow y 4)) (/ (* x (pow z 2)) (pow y 3)))) (/ (* x z) (pow y 2)))) (/ x y)) (taylor 0 t) (#s(alt (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) (patch (/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x y)) (taylor 0 t) (#s(alt (neg.f64 (*.f64 (fma.f64 t z y) x)) (patch (neg.f64 (*.f64 (fma.f64 t z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (* t (* x z))) (* x y)) (taylor 0 t) (#s(alt (neg.f64 (*.f64 (fma.f64 t z y) x)) (patch (neg.f64 (*.f64 (fma.f64 t z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (* t (* x z))) (* x y)) (taylor 0 t) (#s(alt (neg.f64 (*.f64 (fma.f64 t z y) x)) (patch (neg.f64 (*.f64 (fma.f64 t z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -1 (* t (* x z))) (* x y)) (taylor 0 t) (#s(alt (neg.f64 (*.f64 (fma.f64 t z y) x)) (patch (neg.f64 (*.f64 (fma.f64 t z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (* x y) (taylor 0 t) (#s(alt (*.f64 (fma.f64 t z y) x) (patch (*.f64 (fma.f64 t z y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (* x z)) (* x y)) (taylor 0 t) (#s(alt (*.f64 (fma.f64 t z y) x) (patch (*.f64 (fma.f64 t z y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (* x z)) (* x y)) (taylor 0 t) (#s(alt (*.f64 (fma.f64 t z y) x) (patch (*.f64 (fma.f64 t z y) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (* x z)) (* x y)) (taylor 0 t) (#s(alt (*.f64 (fma.f64 t z y) x) (patch (*.f64 (fma.f64 t z y) x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 t) (#s(alt (fma.f64 t z y) (patch (fma.f64 t z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* t z)) (taylor 0 t) (#s(alt (fma.f64 t z y) (patch (fma.f64 t z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* t z)) (taylor 0 t) (#s(alt (fma.f64 t z y) (patch (fma.f64 t z y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* t z)) (taylor 0 t) (#s(alt (fma.f64 t z y) (patch (fma.f64 t z y) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 t) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 t z) y) (/.f64 (-.f64 (*.f64 t z) y) x))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 t z) y) (/.f64 (-.f64 (*.f64 t z) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- (* -1 (/ (* x z) (pow y 2))) (* -2 (/ (* x z) (pow y 2))))) (/ x y)) (taylor 0 t) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 t z) y) (/.f64 (-.f64 (*.f64 t z) y) x))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 t z) y) (/.f64 (-.f64 (*.f64 t z) y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- (+ (* -1 (* t (+ (* -2 (/ (* z (- (* -1 (/ (* x z) (pow y 2))) (* -2 (/ (* x z) (pow y 2))))) y)) (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2)))) (* -2 (/ (* x z) (pow y 2))))) (/ x y)) (taylor 0 t) (#s(alt (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 t z) y) (/.f64 (-.f64 (*.f64 t z) y) x))) (patch (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 t z) y) (/.f64 (-.f64 (*.f64 t z) y) x))) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 11.0ms | x | @ | inf | ((/ x (+ (* (neg z) t) y)) (+ (* (neg z) t) y) (neg z) (/ x (- y (* z t))) (/ x y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)) (* t z) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (/ (- (* 0 (/ (- (* t z) y) x)) (* (- (* t z) y) 1)) (* (- (* t z) y) (/ (- (* t z) y) x))) (* 0 (/ (- (* t z) y) x)) (* (- (* t z) y) 1) (- (* 0 (/ (- (* t z) y) x)) (* (- (* t z) y) 1)) (* (+ (* t z) y) (- (* t z) y)) (- (* t z) y) (/ (- (* t z) y) x) (* (- (* t z) y) (/ (- (* t z) y) x))) |
| 9.0ms | z | @ | inf | ((/ x (+ (* (neg z) t) y)) (+ (* (neg z) t) y) (neg z) (/ x (- y (* z t))) (/ x y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)) (* t z) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (/ (- (* 0 (/ (- (* t z) y) x)) (* (- (* t z) y) 1)) (* (- (* t z) y) (/ (- (* t z) y) x))) (* 0 (/ (- (* t z) y) x)) (* (- (* t z) y) 1) (- (* 0 (/ (- (* t z) y) x)) (* (- (* t z) y) 1)) (* (+ (* t z) y) (- (* t z) y)) (- (* t z) y) (/ (- (* t z) y) x) (* (- (* t z) y) (/ (- (* t z) y) x))) |
| 6.0ms | z | @ | 0 | ((/ x (+ (* (neg z) t) y)) (+ (* (neg z) t) y) (neg z) (/ x (- y (* z t))) (/ x y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)) (* t z) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (/ (- (* 0 (/ (- (* t z) y) x)) (* (- (* t z) y) 1)) (* (- (* t z) y) (/ (- (* t z) y) x))) (* 0 (/ (- (* t z) y) x)) (* (- (* t z) y) 1) (- (* 0 (/ (- (* t z) y) x)) (* (- (* t z) y) 1)) (* (+ (* t z) y) (- (* t z) y)) (- (* t z) y) (/ (- (* t z) y) x) (* (- (* t z) y) (/ (- (* t z) y) x))) |
| 4.0ms | t | @ | 0 | ((/ x (+ (* (neg z) t) y)) (+ (* (neg z) t) y) (neg z) (/ x (- y (* z t))) (/ x y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)) (* t z) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (/ (- (* 0 (/ (- (* t z) y) x)) (* (- (* t z) y) 1)) (* (- (* t z) y) (/ (- (* t z) y) x))) (* 0 (/ (- (* t z) y) x)) (* (- (* t z) y) 1) (- (* 0 (/ (- (* t z) y) x)) (* (- (* t z) y) 1)) (* (+ (* t z) y) (- (* t z) y)) (- (* t z) y) (/ (- (* t z) y) x) (* (- (* t z) y) (/ (- (* t z) y) x))) |
| 4.0ms | x | @ | -inf | ((/ x (+ (* (neg z) t) y)) (+ (* (neg z) t) y) (neg z) (/ x (- y (* z t))) (/ x y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)) (* t z) (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) x) (+ (* t z) y) (/ (- (* 0 (/ (- (* t z) y) x)) (* (- (* t z) y) 1)) (* (- (* t z) y) (/ (- (* t z) y) x))) (* 0 (/ (- (* t z) y) x)) (* (- (* t z) y) 1) (- (* 0 (/ (- (* t z) y) x)) (* (- (* t z) y) 1)) (* (+ (* t z) y) (- (* t z) y)) (- (* t z) y) (/ (- (* t z) y) x) (* (- (* t z) y) (/ (- (* t z) y) x))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 857 | 10416 |
| 1 | 2937 | 9379 |
| 0 | 8500 | 9045 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
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(* (pow y 2) (+ (* -2 (/ (* t z) (* x y))) (+ (/ 1 x) (/ (* (pow t 2) (pow z 2)) (* x (pow y 2)))))) |
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(* -1 (/ (+ (* -1 x) (* -1 (/ (* t (* x z)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* t (* x z)) (/ (* (pow t 2) (* x (pow z 2))) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow t 2) (* x (pow z 2)))) (* -1 (/ (* (pow t 3) (* x (pow z 3))) y))) y)) (* t (* x z))) y))) y)) |
(* -1 (* x y)) |
(* -1 (* y (- (/ (* t (* x z)) y) (* -1 x)))) |
(* -1 (* y (- (/ (* t (* x z)) y) (* -1 x)))) |
(* -1 (* y (- (/ (* t (* x z)) y) (* -1 x)))) |
(* x y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t (* x z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t (* x z)) y))))) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t (* x z)) y))))) |
y |
(* -1 (* y (- (* -1 (/ (* t z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (* t z) y)) 1))) |
(* -1 (* y (- (* -1 (/ (* t z) y)) 1))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* t (* x z)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* t (* x z)) (/ (* (pow t 2) (* x (pow z 2))) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow t 2) (* x (pow z 2)))) (* -1 (/ (* (pow t 3) (* x (pow z 3))) y))) y)) (* t (* x z))) y))) y)) |
0 |
0 |
0 |
0 |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (* t z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (* t z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (* t z) y))))) |
y |
(* -1 (* y (- (/ (* t z) y) 1))) |
(* -1 (* y (- (/ (* t z) y) 1))) |
(* -1 (* y (- (/ (* 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)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ (* t z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (* t z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (* 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)))) |
(/ (pow y 2) x) |
(* (pow y 2) (+ (* -2 (/ (* t z) (* x y))) (/ 1 x))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) (* x y))) (* 2 (/ (* t z) x))) y)) (/ 1 x))) |
(* (pow y 2) (+ (* -1 (/ (+ (* -1 (/ (* (pow t 2) (pow z 2)) (* x y))) (* 2 (/ (* t z) x))) y)) (/ 1 x))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(/ (* x (- y (* t z))) (pow (- (* t z) y) 2)) |
(/ (* x (- y (* t z))) (pow (- (* t z) y) 2)) |
(/ (* x (- y (* t z))) (pow (- (* t z) y) 2)) |
(/ (* x (- y (* t z))) (pow (- (* t z) y) 2)) |
0 |
0 |
0 |
0 |
(- y (* t z)) |
(- y (* t z)) |
(- y (* t z)) |
(- y (* t z)) |
(/ (- (* t z) y) x) |
(/ (- (* t z) y) x) |
(/ (- (* t z) y) x) |
(/ (- (* t z) y) x) |
(/ (pow (- (* t z) y) 2) x) |
(/ (pow (- (* t z) y) 2) x) |
(/ (pow (- (* t z) y) 2) x) |
(/ (pow (- (* t z) y) 2) x) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(/ (* x (- y (* t z))) (pow (- (* t z) y) 2)) |
(/ (* x (- y (* t z))) (pow (- (* t z) y) 2)) |
(/ (* x (- y (* t z))) (pow (- (* t z) y) 2)) |
(/ (* x (- y (* t z))) (pow (- (* t z) y) 2)) |
0 |
0 |
0 |
0 |
(- y (* t z)) |
(- y (* t z)) |
(- y (* t z)) |
(- y (* t z)) |
(/ (- (* t z) y) x) |
(/ (- (* t z) y) x) |
(/ (- (* t z) y) x) |
(/ (- (* t z) y) x) |
(/ (pow (- (* t z) y) 2) x) |
(/ (pow (- (* t z) y) 2) x) |
(/ (pow (- (* t z) y) 2) x) |
(/ (pow (- (* t z) y) 2) x) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ x (- y (* t z))) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(/ (- y (* t z)) x) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* -1 (* x (+ y (* t z)))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(/ (* x (- y (* t z))) (pow (- (* t z) y) 2)) |
(/ (* x (- y (* t z))) (pow (- (* t z) y) 2)) |
(/ (* x (- y (* t z))) (pow (- (* t z) y) 2)) |
(/ (* x (- y (* t z))) (pow (- (* t z) y) 2)) |
0 |
0 |
0 |
0 |
(- y (* t z)) |
(- y (* t z)) |
(- y (* t z)) |
(- y (* t z)) |
(/ (- (* t z) y) x) |
(/ (- (* t z) y) x) |
(/ (- (* t z) y) x) |
(/ (- (* t z) y) x) |
(/ (pow (- (* t z) y) 2) x) |
(/ (pow (- (* t z) y) 2) x) |
(/ (pow (- (* t z) y) 2) x) |
(/ (pow (- (* t z) y) 2) x) |
| Outputs |
|---|
(/ x y) |
(/.f64 x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(fma.f64 (/.f64 t y) (/.f64 (*.f64 z x) 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 t) z) x) (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 (/.f64 z y) (/.f64 x y) (*.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)) 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) |
(/ x y) |
(/.f64 x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(fma.f64 (/.f64 t y) (/.f64 (*.f64 z x) 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 t) z) x) (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 (/.f64 z y) (/.f64 x y) (*.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)) t (/.f64 x y)) |
(/ x y) |
(/.f64 x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(fma.f64 (/.f64 t y) (/.f64 (*.f64 z x) 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 t) z) x) (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 (/.f64 z y) (/.f64 x y) (*.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)) 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) |
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 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 (/.f64 z y) (/.f64 x y) (/.f64 (*.f64 (*.f64 (*.f64 z t) z) x) (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 (/.f64 z y) (/.f64 x y) (*.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)) 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) |
(/ x y) |
(/.f64 x y) |
(+ (* t (- (* -1 (/ (* x z) (pow y 2))) (* -2 (/ (* x z) (pow y 2))))) (/ x y)) |
(fma.f64 (/.f64 t y) (/.f64 (*.f64 z x) y) (/.f64 x y)) |
(+ (* t (- (+ (* -1 (* t (+ (* -2 (/ (* z (- (* -1 (/ (* x z) (pow y 2))) (* -2 (/ (* x z) (pow y 2))))) y)) (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2)))) (* -2 (/ (* x z) (pow y 2))))) (/ x y)) |
(fma.f64 (fma.f64 (neg.f64 t) (fma.f64 x (/.f64 (*.f64 z z) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 (/.f64 z y) (/.f64 x y))) y)) (*.f64 (/.f64 z y) (/.f64 x y))) t (/.f64 x y)) |
(+ (* t (- (+ (* -1 (/ (* x z) (pow y 2))) (* t (- (* -1 (* t (+ (* 2 (/ (* z (+ (* -2 (/ (* z (- (* -1 (/ (* x z) (pow y 2))) (* -2 (/ (* x z) (pow y 2))))) y)) (/ (* x (pow z 2)) (pow y 3)))) y)) (/ (* (pow z 2) (- (* -1 (/ (* x z) (pow y 2))) (* -2 (/ (* x z) (pow y 2))))) (pow y 2))))) (+ (* -2 (/ (* z (- (* -1 (/ (* x z) (pow y 2))) (* -2 (/ (* x z) (pow y 2))))) y)) (/ (* x (pow z 2)) (pow y 3)))))) (* -2 (/ (* x z) (pow y 2))))) (/ x y)) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (*.f64 #s(literal 2 binary64) z) (/.f64 (fma.f64 x (/.f64 (*.f64 z z) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 (/.f64 z y) (/.f64 x y))) y)) y) (*.f64 (*.f64 z z) (/.f64 (*.f64 (/.f64 z y) (/.f64 x y)) (*.f64 y y)))) t (fma.f64 x (/.f64 (*.f64 z z) (pow.f64 y #s(literal 3 binary64))) (/.f64 (*.f64 (*.f64 #s(literal -2 binary64) z) (*.f64 (/.f64 z y) (/.f64 x y))) y)))) t (*.f64 (/.f64 z y) (/.f64 x y))) t (/.f64 x y)) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(* -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)) |
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) |
(* -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)) |
(* -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 (/ y x)) |
(/.f64 (neg.f64 y) x) |
(+ (* -1 (/ y x)) (/ (* t z) x)) |
(/.f64 (fma.f64 z t (neg.f64 y)) x) |
(+ (* -1 (/ y x)) (/ (* t z) x)) |
(/.f64 (fma.f64 z t (neg.f64 y)) x) |
(+ (* -1 (/ y x)) (/ (* t z) x)) |
(/.f64 (fma.f64 z t (neg.f64 y)) x) |
(/ (pow y 2) x) |
(/.f64 (*.f64 y y) x) |
(+ (* -2 (/ (* t (* y z)) x)) (/ (pow y 2) x)) |
(fma.f64 (/.f64 (*.f64 (*.f64 z y) t) x) #s(literal -2 binary64) (/.f64 (*.f64 y y) x)) |
(+ (* t (+ (* -2 (/ (* y z) x)) (/ (* t (pow z 2)) x))) (/ (pow y 2) x)) |
(fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 z t) z) x)) t (/.f64 (*.f64 y y) x)) |
(+ (* t (+ (* -2 (/ (* y z) x)) (/ (* t (pow z 2)) x))) (/ (pow y 2) x)) |
(fma.f64 (fma.f64 (/.f64 (*.f64 z y) x) #s(literal -2 binary64) (/.f64 (*.f64 (*.f64 z t) z) x)) t (/.f64 (*.f64 y y) x)) |
(* -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 (-.f64 (neg.f64 (*.f64 x (fma.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 y (*.f64 t t)) (/.f64 y (*.f64 (*.f64 z t) z))))) (/.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 t #s(literal 3 binary64))) (/.f64 x (pow.f64 z #s(literal 4 binary64))) (/.f64 x z))) (*.f64 x (fma.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 y (*.f64 t t)) (/.f64 y (*.f64 (*.f64 z t) z))))) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* t (+ (* -1 z) (/ y t))) |
(*.f64 (-.f64 (/.f64 y t) z) t) |
(* t (+ (* -1 z) (/ y t))) |
(*.f64 (-.f64 (/.f64 y t) z) t) |
(* t (+ (* -1 z) (/ y t))) |
(*.f64 (-.f64 (/.f64 y t) 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 (-.f64 (neg.f64 (*.f64 x (fma.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 y (*.f64 t t)) (/.f64 y (*.f64 (*.f64 z t) z))))) (/.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 t #s(literal 3 binary64))) (/.f64 x (pow.f64 z #s(literal 4 binary64))) (/.f64 x z))) (*.f64 x (fma.f64 (/.f64 y (pow.f64 z #s(literal 3 binary64))) (/.f64 y (*.f64 t t)) (/.f64 y (*.f64 (*.f64 z t) z))))) t) |
(* -1 (/ x (* t z))) |
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(/.f64 (pow.f64 (fma.f64 z t (neg.f64 y)) #s(literal 2 binary64)) x) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(* -1 (/ x (- (* t z) y))) |
(/.f64 (neg.f64 x) (fma.f64 z t (neg.f64 y))) |
(* -1 (/ x (- (* t z) y))) |
(/.f64 (neg.f64 x) (fma.f64 z t (neg.f64 y))) |
(* -1 (/ x (- (* t z) y))) |
(/.f64 (neg.f64 x) (fma.f64 z t (neg.f64 y))) |
(* -1 (/ x (- (* t z) y))) |
(/.f64 (neg.f64 x) (fma.f64 z t (neg.f64 y))) |
(* -1 (* x (+ y (* t z)))) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(* -1 (* x (+ y (* t z)))) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(* -1 (* x (+ y (* t z)))) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(* -1 (* x (+ y (* t z)))) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(* x (+ y (* t z))) |
(*.f64 (fma.f64 z t y) x) |
(* x (+ y (* t z))) |
(*.f64 (fma.f64 z t y) x) |
(* x (+ y (* t z))) |
(*.f64 (fma.f64 z t y) x) |
(* x (+ y (* t z))) |
(*.f64 (fma.f64 z t y) x) |
(/ (* x (- y (* t z))) (pow (- (* t z) y) 2)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 t) z y) x) (pow.f64 (fma.f64 z t (neg.f64 y)) #s(literal 2 binary64))) |
(/ (* x (- y (* t z))) (pow (- (* t z) y) 2)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 t) z y) x) (pow.f64 (fma.f64 z t (neg.f64 y)) #s(literal 2 binary64))) |
(/ (* x (- y (* t z))) (pow (- (* t z) y) 2)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 t) z y) x) (pow.f64 (fma.f64 z t (neg.f64 y)) #s(literal 2 binary64))) |
(/ (* x (- y (* t z))) (pow (- (* t z) y) 2)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 t) z y) x) (pow.f64 (fma.f64 z t (neg.f64 y)) #s(literal 2 binary64))) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(- 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) |
(- y (* t z)) |
(fma.f64 (neg.f64 t) z y) |
(/ (- (* t z) y) x) |
(/.f64 (fma.f64 z t (neg.f64 y)) x) |
(/ (- (* t z) y) x) |
(/.f64 (fma.f64 z t (neg.f64 y)) x) |
(/ (- (* t z) y) x) |
(/.f64 (fma.f64 z t (neg.f64 y)) x) |
(/ (- (* t z) y) x) |
(/.f64 (fma.f64 z t (neg.f64 y)) x) |
(/ (pow (- (* t z) y) 2) x) |
(/.f64 (pow.f64 (fma.f64 z t (neg.f64 y)) #s(literal 2 binary64)) x) |
(/ (pow (- (* t z) y) 2) x) |
(/.f64 (pow.f64 (fma.f64 z t (neg.f64 y)) #s(literal 2 binary64)) x) |
(/ (pow (- (* t z) y) 2) x) |
(/.f64 (pow.f64 (fma.f64 z t (neg.f64 y)) #s(literal 2 binary64)) x) |
(/ (pow (- (* t z) y) 2) x) |
(/.f64 (pow.f64 (fma.f64 z t (neg.f64 y)) #s(literal 2 binary64)) x) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x y) |
(/.f64 x y) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ x (- y (* t z))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(/ (- y (* t z)) x) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(* -1 (/ x (- (* t z) y))) |
(/.f64 (neg.f64 x) (fma.f64 z t (neg.f64 y))) |
(* -1 (/ x (- (* t z) y))) |
(/.f64 (neg.f64 x) (fma.f64 z t (neg.f64 y))) |
(* -1 (/ x (- (* t z) y))) |
(/.f64 (neg.f64 x) (fma.f64 z t (neg.f64 y))) |
(* -1 (/ x (- (* t z) y))) |
(/.f64 (neg.f64 x) (fma.f64 z t (neg.f64 y))) |
(* -1 (* x (+ y (* t z)))) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(* -1 (* x (+ y (* t z)))) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(* -1 (* x (+ y (* t z)))) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(* -1 (* x (+ y (* t z)))) |
(*.f64 (neg.f64 x) (fma.f64 z t y)) |
(* x (+ y (* t z))) |
(*.f64 (fma.f64 z t y) x) |
(* x (+ y (* t z))) |
(*.f64 (fma.f64 z t y) x) |
(* x (+ y (* t z))) |
(*.f64 (fma.f64 z t y) x) |
(* x (+ y (* t z))) |
(*.f64 (fma.f64 z t y) x) |
(/ (* x (- y (* t z))) (pow (- (* t z) y) 2)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 t) z y) x) (pow.f64 (fma.f64 z t (neg.f64 y)) #s(literal 2 binary64))) |
(/ (* x (- y (* t z))) (pow (- (* t z) y) 2)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 t) z y) x) (pow.f64 (fma.f64 z t (neg.f64 y)) #s(literal 2 binary64))) |
(/ (* x (- y (* t z))) (pow (- (* t z) y) 2)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 t) z y) x) (pow.f64 (fma.f64 z t (neg.f64 y)) #s(literal 2 binary64))) |
(/ (* x (- y (* t z))) (pow (- (* t z) y) 2)) |
(/.f64 (*.f64 (fma.f64 (neg.f64 t) z y) x) (pow.f64 (fma.f64 z t (neg.f64 y)) #s(literal 2 binary64))) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
0 |
#s(literal 0 binary64) |
(- 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) |
(- y (* t z)) |
(fma.f64 (neg.f64 t) z y) |
(/ (- (* t z) y) x) |
(/.f64 (fma.f64 z t (neg.f64 y)) x) |
(/ (- (* t z) y) x) |
(/.f64 (fma.f64 z t (neg.f64 y)) x) |
(/ (- (* t z) y) x) |
(/.f64 (fma.f64 z t (neg.f64 y)) x) |
(/ (- (* t z) y) x) |
(/.f64 (fma.f64 z t (neg.f64 y)) x) |
(/ (pow (- (* t z) y) 2) x) |
(/.f64 (pow.f64 (fma.f64 z t (neg.f64 y)) #s(literal 2 binary64)) x) |
(/ (pow (- (* t z) y) 2) x) |
(/.f64 (pow.f64 (fma.f64 z t (neg.f64 y)) #s(literal 2 binary64)) x) |
(/ (pow (- (* t z) y) 2) x) |
(/.f64 (pow.f64 (fma.f64 z t (neg.f64 y)) #s(literal 2 binary64)) x) |
(/ (pow (- (* t z) y) 2) x) |
(/.f64 (pow.f64 (fma.f64 z t (neg.f64 y)) #s(literal 2 binary64)) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 30 | 186 |
| 0 | 51 | 127 |
| 1 | 230 | 122 |
| 2 | 1633 | 122 |
| 0 | 8704 | 122 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(fma.f64 (neg.f64 z) t y) |
(neg.f64 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 y (*.f64 t z)) |
(*.f64 t z) |
(/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) |
(neg.f64 (*.f64 (fma.f64 t z y) x)) |
(*.f64 (fma.f64 t z y) x) |
(fma.f64 t z y) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 t z) y) (/.f64 (-.f64 (*.f64 t z) y) x))) |
(*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) |
(*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64)) |
(-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) |
(*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y)) |
(-.f64 (*.f64 t z) y) |
(/.f64 (-.f64 (*.f64 t z) y) x) |
(*.f64 (-.f64 (*.f64 t z) y) (/.f64 (-.f64 (*.f64 t z) y) x)) |
| Outputs |
|---|
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Compiled 108 783 to 6 813 computations (93.7% saved)
17 alts after pruning (14 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 3 686 | 12 | 3 698 |
| Fresh | 5 | 2 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 3 693 | 17 | 3 710 |
| Status | Accuracy | Program |
|---|---|---|
| 48.0% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 t z) y) (fma.f64 t (/.f64 z x) (/.f64 (neg.f64 y) x)))) | |
| 16.3% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) #s(approx (* (- (* t z) y) (/ (- (* t z) y) x)) (*.f64 t (/.f64 (*.f64 (*.f64 z t) z) x)))) | |
| 39.2% | (/.f64 #s(approx (- (* 0 (/ (- (* t z) y) x)) (* (- (* t z) y) 1)) (*.f64 (neg.f64 t) z)) (*.f64 (-.f64 (*.f64 t z) y) (/.f64 (-.f64 (*.f64 t z) y) x))) | |
| ▶ | 80.3% | (/.f64 x (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y)) |
| ✓ | 96.9% | (/.f64 x (fma.f64 (neg.f64 z) t y)) |
| 86.1% | (/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y))) | |
| 54.4% | (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) | |
| 93.7% | (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (/.f64 t x) (/.f64 y x))) | |
| ✓ | 96.1% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) |
| ▶ | 54.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x)) |
| ▶ | 66.0% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)))) |
| 96.0% | (/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 t z) y))) | |
| 53.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x)))) | |
| ▶ | 96.7% | (*.f64 (pow.f64 (fma.f64 t (neg.f64 z) y) #s(literal -1 binary64)) x) |
| 46.3% | #s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (fma.f64 (/.f64 x (*.f64 t t)) (/.f64 y z) (/.f64 x t)) (neg.f64 z))) | |
| ✓ | 52.3% | #s(approx (/ x (- y (* z t))) (/.f64 x y)) |
| ▶ | 52.2% | #s(approx (/ x (- y (* z t))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) |
Compiled 426 to 344 computations (19.2% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (fma.f64 t (neg.f64 z) y) | |
| cost-diff | 320 | (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)))) | |
| cost-diff | 1088 | (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)) | |
| cost-diff | 0 | (neg.f64 (*.f64 z z)) | |
| cost-diff | 0 | (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y) | |
| cost-diff | 0 | (/.f64 x (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y)) | |
| cost-diff | 1344 | (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) | |
| cost-diff | 0 | (*.f64 (neg.f64 t) z) | |
| cost-diff | 0 | #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) | |
| cost-diff | 0 | (/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x)) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) y) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (/ x (- y (* z t))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) | |
| cost-diff | 448 | (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) | |
| cost-diff | 0 | (neg.f64 z) | |
| cost-diff | 0 | (fma.f64 t (neg.f64 z) y) | |
| cost-diff | 0 | (pow.f64 (fma.f64 t (neg.f64 z) y) #s(literal -1 binary64)) | |
| cost-diff | 6080 | (*.f64 (pow.f64 (fma.f64 t (neg.f64 z) y) #s(literal -1 binary64)) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 218 |
| 0 | 59 | 192 |
| 1 | 109 | 174 |
| 2 | 248 | 160 |
| 3 | 630 | 160 |
| 4 | 3280 | 160 |
| 5 | 6054 | 160 |
| 0 | 8053 | 160 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 (fma.f64 t (neg.f64 z) y) #s(literal -1 binary64)) x) |
(pow.f64 (fma.f64 t (neg.f64 z) y) #s(literal -1 binary64)) |
(fma.f64 t (neg.f64 z) y) |
t |
(neg.f64 z) |
z |
y |
#s(literal -1 binary64) |
x |
#s(approx (/ x (- y (* z t))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
(neg.f64 x) |
x |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x) |
#s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) |
(*.f64 (neg.f64 t) z) |
(neg.f64 t) |
t |
z |
x |
(/.f64 x (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y)) |
x |
(fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y) |
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) |
(neg.f64 (*.f64 z z)) |
(*.f64 z z) |
z |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
t |
y |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)))) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x))) |
(fma.f64 t (neg.f64 z) y) |
t |
(neg.f64 z) |
z |
y |
(/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)) |
(fma.f64 t z y) |
(*.f64 (fma.f64 t z y) x) |
x |
| Outputs |
|---|
(*.f64 (pow.f64 (fma.f64 t (neg.f64 z) y) #s(literal -1 binary64)) x) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(pow.f64 (fma.f64 t (neg.f64 z) y) #s(literal -1 binary64)) |
(pow.f64 (fma.f64 (neg.f64 z) t y) #s(literal -1 binary64)) |
(fma.f64 t (neg.f64 z) y) |
(fma.f64 (neg.f64 z) t y) |
t |
(neg.f64 z) |
z |
y |
#s(literal -1 binary64) |
x |
#s(approx (/ x (- y (* z t))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) |
#s(approx (/ x (- y (* z t))) (/.f64 x y)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
(/.f64 x y) |
(neg.f64 x) |
x |
(/.f64 #s(literal -1 binary64) y) |
#s(literal -1 binary64) |
y |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x)) |
(/.f64 x #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z))) |
#s(literal 1 binary64) |
(/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x) |
#s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) |
(*.f64 (neg.f64 t) z) |
(neg.f64 t) |
t |
z |
x |
(/.f64 x (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y)) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
x |
(fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y) |
(fma.f64 (neg.f64 z) t y) |
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) |
(neg.f64 z) |
(neg.f64 (*.f64 z z)) |
(*.f64 (neg.f64 z) z) |
(*.f64 z z) |
z |
(/.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
t |
y |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x))) |
(/.f64 (fma.f64 (neg.f64 z) t y) x) |
(fma.f64 t (neg.f64 z) y) |
(fma.f64 (neg.f64 z) t y) |
t |
(neg.f64 z) |
z |
y |
(/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)) |
(/.f64 #s(literal 1 binary64) x) |
(fma.f64 t z y) |
(fma.f64 z t y) |
(*.f64 (fma.f64 t z y) x) |
(*.f64 (fma.f64 z t y) x) |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.6019151267835109 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)))) | |
| accuracy | 2.0581384822815747 | (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x))) | |
| accuracy | 3.7658457440866675 | (*.f64 (fma.f64 t z y) x) | |
| accuracy | 20.53419720044636 | (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 0 | (neg.f64 (*.f64 z z)) | |
| accuracy | 1.9601970362134233 | (/.f64 x (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y)) | |
| accuracy | 29.02077669906387 | (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 0.6019151267835109 | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x)) | |
| accuracy | 1.9526697322815747 | (/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x) | |
| accuracy | 28.7894724304583 | #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) y) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.234375 | (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) | |
| accuracy | 30.50630672348597 | #s(approx (/ x (- y (* z t))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) | |
| accuracy | 0 | (fma.f64 t (neg.f64 z) y) | |
| accuracy | 0 | (neg.f64 z) | |
| accuracy | 0.38613569251717916 | (pow.f64 (fma.f64 t (neg.f64 z) y) #s(literal -1 binary64)) | |
| accuracy | 1.788233132351482 | (*.f64 (pow.f64 (fma.f64 t (neg.f64 z) y) #s(literal -1 binary64)) x) |
| 124.0ms | 256× | 0 | valid |
Compiled 214 to 37 computations (82.7% saved)
ival-mult: 48.0ms (53.7% of total)ival-div: 26.0ms (29.1% of total)ival-add: 4.0ms (4.5% of total)ival-neg: 4.0ms (4.5% of total)ival-pow: 4.0ms (4.5% of total)ival-sub: 2.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (pow.f64 (fma.f64 t (neg.f64 z) y) #s(literal -1 binary64)) x) (patch (*.f64 (pow.f64 (fma.f64 t (neg.f64 z) y) #s(literal -1 binary64)) x) #<representation binary64>) () ()) |
#s(alt (pow.f64 (fma.f64 t (neg.f64 z) y) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 t (neg.f64 z) y) #s(literal -1 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 t (neg.f64 z) y) (patch (fma.f64 t (neg.f64 z) y) #<representation binary64>) () ()) |
#s(alt (neg.f64 z) (patch (neg.f64 z) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) (patch (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ x (- y (* z t))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) (patch #s(approx (/ x (- y (* z t))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) y) (patch (/.f64 #s(literal -1 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x) (patch (/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) (patch (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y)) (patch (/.f64 x (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y) (patch (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y) #<representation binary64>) () ()) |
#s(alt (neg.f64 (*.f64 z z)) (patch (neg.f64 (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)) (patch (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x))) (patch (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x))) #<representation binary64>) () ()) |
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 t z y) x) (patch (*.f64 (fma.f64 t z y) x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x y) (taylor 0 t) (#s(alt (*.f64 (pow.f64 (fma.f64 t (neg.f64 z) y) #s(literal -1 binary64)) x) (patch (*.f64 (pow.f64 (fma.f64 t (neg.f64 z) y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
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#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 (fma.f64 t (neg.f64 z) y) #s(literal -1 binary64)) x) (patch (*.f64 (pow.f64 (fma.f64 t (neg.f64 z) y) #s(literal -1 binary64)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 t) (#s(alt (pow.f64 (fma.f64 t (neg.f64 z) y) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 t (neg.f64 z) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 y) (/ (* t z) (pow y 2))) (taylor 0 t) (#s(alt (pow.f64 (fma.f64 t (neg.f64 z) y) #s(literal -1 binary64)) (patch (pow.f64 (fma.f64 t (neg.f64 z) y) #s(literal -1 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt y (taylor 0 t) (#s(alt (fma.f64 t (neg.f64 z) y) (patch (fma.f64 t (neg.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 t) (#s(alt (fma.f64 t (neg.f64 z) y) (patch (fma.f64 t (neg.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 t) (#s(alt (fma.f64 t (neg.f64 z) y) (patch (fma.f64 t (neg.f64 z) y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 t) (#s(alt (fma.f64 t (neg.f64 z) y) (patch (fma.f64 t (neg.f64 z) y) #<representation binary64>) () ())) ()) |
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#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 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x)) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -1 (/ (* t z) x)) (/ y x)) (taylor 0 t) (#s(alt (/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x) (patch (/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t z) x)) (/ y x)) (taylor 0 t) (#s(alt (/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x) (patch (/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 t) (#s(alt #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 t) (#s(alt #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 t) (#s(alt #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 t) (#s(alt #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor 0 t) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor 0 t) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor 0 t) (#s(alt (*.f64 (neg.f64 t) z) (patch (*.f64 (neg.f64 t) z) #<representation binary64>) () ())) ()) |
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#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 (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y)) (patch (/.f64 x (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t 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 (/.f64 x (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y)) (patch (/.f64 x (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 t) (#s(alt (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y) (patch (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y) (patch (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y) (patch (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 (* t z))) (taylor 0 t) (#s(alt (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y) (patch (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 t) (#s(alt (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)) (patch (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 t) (#s(alt (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)) (patch (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 t) (#s(alt (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)) (patch (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 x) (taylor 0 t) (#s(alt (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)) (patch (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)))) #<representation binary64>) () ())) ()) |
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#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 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)))) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 t) (#s(alt (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x))) (patch (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t z) x)) (/ y x)) (taylor 0 t) (#s(alt (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x))) (patch (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t z) x)) (/ y x)) (taylor 0 t) (#s(alt (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x))) (patch (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t z) x)) (/ y x)) (taylor 0 t) (#s(alt (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x))) (patch (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor 0 t) (#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ y (* -1 (* t z))) x) (taylor -inf x) (#s(alt (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x))) (patch (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ y (* -1 (* t z))) x) (taylor -inf x) (#s(alt (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x))) (patch (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.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 | |
|---|---|---|---|---|
| 33.0ms | z | @ | inf | ((* (pow (+ (* t (neg z)) y) -1) x) (pow (+ (* t (neg z)) y) -1) (+ (* t (neg z)) y) (neg z) (* (neg x) (/ -1 y)) (/ x (- y (* z t))) (neg x) (/ -1 y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)) (* (neg t) z) (* (neg (* z z)) (/ 1 z)) (/ x (+ (* (* (neg (* z z)) (/ 1 z)) t) y)) (+ (* (* (neg (* z z)) (/ 1 z)) t) y) (neg (* z z)) (/ (+ (* t z) y) (* (+ (* t z) y) x)) (/ 1 (* (+ (* t (neg z)) y) (/ (+ (* t z) y) (* (+ (* t z) y) x)))) (* (+ (* t (neg z)) y) (/ (+ (* t z) y) (* (+ (* t z) y) x))) (neg t) (* z z) (* (+ (* t z) y) x)) |
| 2.0ms | x | @ | -inf | ((* (pow (+ (* t (neg z)) y) -1) x) (pow (+ (* t (neg z)) y) -1) (+ (* t (neg z)) y) (neg z) (* (neg x) (/ -1 y)) (/ x (- y (* z t))) (neg x) (/ -1 y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)) (* (neg t) z) (* (neg (* z z)) (/ 1 z)) (/ x (+ (* (* (neg (* z z)) (/ 1 z)) t) y)) (+ (* (* (neg (* z z)) (/ 1 z)) t) y) (neg (* z z)) (/ (+ (* t z) y) (* (+ (* t z) y) x)) (/ 1 (* (+ (* t (neg z)) y) (/ (+ (* t z) y) (* (+ (* t z) y) x)))) (* (+ (* t (neg z)) y) (/ (+ (* t z) y) (* (+ (* t z) y) x))) (neg t) (* z z) (* (+ (* t z) y) x)) |
| 2.0ms | x | @ | 0 | ((* (pow (+ (* t (neg z)) y) -1) x) (pow (+ (* t (neg z)) y) -1) (+ (* t (neg z)) y) (neg z) (* (neg x) (/ -1 y)) (/ x (- y (* z t))) (neg x) (/ -1 y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)) (* (neg t) z) (* (neg (* z z)) (/ 1 z)) (/ x (+ (* (* (neg (* z z)) (/ 1 z)) t) y)) (+ (* (* (neg (* z z)) (/ 1 z)) t) y) (neg (* z z)) (/ (+ (* t z) y) (* (+ (* t z) y) x)) (/ 1 (* (+ (* t (neg z)) y) (/ (+ (* t z) y) (* (+ (* t z) y) x)))) (* (+ (* t (neg z)) y) (/ (+ (* t z) y) (* (+ (* t z) y) x))) (neg t) (* z z) (* (+ (* t z) y) x)) |
| 2.0ms | z | @ | -inf | ((* (pow (+ (* t (neg z)) y) -1) x) (pow (+ (* t (neg z)) y) -1) (+ (* t (neg z)) y) (neg z) (* (neg x) (/ -1 y)) (/ x (- y (* z t))) (neg x) (/ -1 y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)) (* (neg t) z) (* (neg (* z z)) (/ 1 z)) (/ x (+ (* (* (neg (* z z)) (/ 1 z)) t) y)) (+ (* (* (neg (* z z)) (/ 1 z)) t) y) (neg (* z z)) (/ (+ (* t z) y) (* (+ (* t z) y) x)) (/ 1 (* (+ (* t (neg z)) y) (/ (+ (* t z) y) (* (+ (* t z) y) x)))) (* (+ (* t (neg z)) y) (/ (+ (* t z) y) (* (+ (* t z) y) x))) (neg t) (* z z) (* (+ (* t z) y) x)) |
| 2.0ms | x | @ | inf | ((* (pow (+ (* t (neg z)) y) -1) x) (pow (+ (* t (neg z)) y) -1) (+ (* t (neg z)) y) (neg z) (* (neg x) (/ -1 y)) (/ x (- y (* z t))) (neg x) (/ -1 y) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (- y (* t z)) (* (neg t) z) (* (neg (* z z)) (/ 1 z)) (/ x (+ (* (* (neg (* z z)) (/ 1 z)) t) y)) (+ (* (* (neg (* z z)) (/ 1 z)) t) y) (neg (* z z)) (/ (+ (* t z) y) (* (+ (* t z) y) x)) (/ 1 (* (+ (* t (neg z)) y) (/ (+ (* t z) y) (* (+ (* t z) y) x)))) (* (+ (* t (neg z)) y) (/ (+ (* t z) y) (* (+ (* t z) y) x))) (neg t) (* z z) (* (+ (* t z) y) x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 487 | 7703 |
| 1 | 1593 | 7254 |
| 2 | 5051 | 7150 |
| 0 | 8100 | 6872 |
| 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))) |
(/ 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)) |
y |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
y |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 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)) |
(/ y x) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* x y) |
(+ (* t (* x z)) (* x y)) |
(+ (* t (* x z)) (* x y)) |
(+ (* t (* x z)) (* 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 (* t z)) |
(/ (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z)) t) |
(/ (- (* -1 (/ (pow y 2) (* (pow t 2) (pow z 3)))) (+ (/ 1 z) (/ y (* t (pow z 2))))) t) |
(/ (- (* -1 (/ (pow y 3) (* (pow t 3) (pow z 4)))) (+ (/ 1 z) (+ (/ y (* t (pow z 2))) (/ (pow y 2) (* (pow t 2) (pow z 3)))))) t) |
(* -1 (* t z)) |
(* t (+ (* -1 z) (/ y t))) |
(* t (+ (* -1 z) (/ y t))) |
(* t (+ (* -1 z) (/ y t))) |
(* -1 (/ x (* t z))) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) (/ (* x y) (* t (pow z 2)))) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 3)) (* (pow t 3) (pow z 4))))) (+ (/ (* x y) (* t (pow z 2))) (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) t) |
(* -1 (/ 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)) |
(* t (- (/ y t) z)) |
(* t (- (/ y t) z)) |
(* t (- (/ y t) z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (/ x (* t z))) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (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 (+ (* -1 z) (/ y t))) |
(* t (+ (* -1 z) (/ y t))) |
(* t (+ (* -1 z) (/ y t))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* -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) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* t (* x z)) |
(* t (+ (* x z) (/ (* x y) t))) |
(* t (+ (* x z) (/ (* x y) t))) |
(* t (+ (* x z) (/ (* x y) t))) |
(* -1 (/ x (* t z))) |
(* -1 (/ (+ (/ x z) (/ (* x y) (* t (pow z 2)))) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow y 2)) (* t (pow z 3)))) (/ (* x y) (pow z 2))) t)) (/ x z)) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) (* t (pow z 4))) (* -1 (/ (* x (pow y 2)) (pow z 3)))) t)) (/ (* x y) (pow z 2))) t)) (/ x z)) t)) |
(/ -1 (* t z)) |
(* -1 (/ (+ (/ 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 (/ y t))))) |
(* -1 (* t (+ z (* -1 (/ y t))))) |
(* -1 (* t (+ z (* -1 (/ y t))))) |
(* -1 (/ x (* t z))) |
(* -1 (/ (+ (/ x z) (/ (* x y) (* t (pow z 2)))) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow y 2)) (* t (pow z 3)))) (/ (* x y) (pow z 2))) t)) (/ x z)) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) (* t (pow z 4))) (* -1 (/ (* x (pow y 2)) (pow z 3)))) t)) (/ (* x y) (pow z 2))) t)) (/ x z)) t)) |
(* -1 (/ 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)) |
(* -1 (* t (- (* -1 (/ y t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ y t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ y t)) (* -1 z)))) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (/ x (* t z))) |
(* -1 (/ (+ (/ x z) (/ (* x y) (* t (pow z 2)))) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (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 (+ z (* -1 (/ y t))))) |
(* -1 (* t (+ z (* -1 (/ y t))))) |
(* -1 (* t (+ z (* -1 (/ y t))))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* -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) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* 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))))) |
(/ 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 y) |
(+ (/ 1 y) (/ (* t z) (pow y 2))) |
(+ (* z (- (/ (* (pow t 2) z) (pow y 3)) (* -1 (/ t (pow y 2))))) (/ 1 y)) |
(+ (* z (- (* z (- (/ (* (pow t 3) z) (pow y 4)) (* -1 (/ (pow t 2) (pow y 3))))) (* -1 (/ t (pow y 2))))) (/ 1 y)) |
y |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 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)) |
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* z (- (/ (* (pow t 2) (* x z)) (pow y 3)) (* -1 (/ (* t x) (pow y 2))))) (/ x y)) |
(+ (* z (- (* z (- (/ (* (pow t 3) (* x z)) (pow y 4)) (* -1 (/ (* (pow t 2) x) (pow y 3))))) (* -1 (/ (* t x) (pow y 2))))) (/ x y)) |
(/ y x) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
y |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 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))) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(* -1 (pow z 2)) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* z (- (/ (* (pow t 2) (* x z)) (pow y 3)) (* -1 (/ (* t x) (pow y 2))))) (/ x y)) |
(+ (* z (- (* z (- (/ (* (pow t 3) (* x z)) (pow y 4)) (* -1 (/ (* (pow t 2) x) (pow y 3))))) (* -1 (/ (* t x) (pow y 2))))) (/ x y)) |
(/ y x) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* x y) |
(+ (* t (* x z)) (* x y)) |
(+ (* t (* x z)) (* x y)) |
(+ (* t (* x z)) (* x y)) |
(* -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) |
(* -1 (* t z)) |
(* z (+ (* -1 t) (/ y z))) |
(* z (+ (* -1 t) (/ y z))) |
(* z (+ (* -1 t) (/ y z))) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 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 (/ x (* t z))) |
(/ (+ (* -1 (/ x t)) (* -1 (/ (* x y) (* (pow t 2) z)))) z) |
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(/ (+ (* -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) |
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(pow z 2) |
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(* -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)))) |
(pow z 2) |
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(pow z 2) |
(pow z 2) |
(* t (* x z)) |
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(* -1 (/ x (* t z))) |
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(+ (* -1 (/ x (* t z))) (* y (- (* -1 (/ (* x y) (* (pow t 3) (pow z 3)))) (/ x (* (pow t 2) (pow z 2)))))) |
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(/ x y) |
(/ x y) |
(/ x y) |
(/ x y) |
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(+ (* -1 (/ x (* t z))) (* y (- (* -1 (/ (* x y) (* (pow t 3) (pow z 3)))) (/ x (* (pow t 2) (pow z 2)))))) |
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(+ (* -1 (/ x (* t z))) (* y (- (* -1 (/ (* x y) (* (pow t 3) (pow z 3)))) (/ x (* (pow t 2) (pow z 2)))))) |
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(+ (* -1 (/ (* t z) x)) (/ y x)) |
(* -1 (* t z)) |
(- y (* t z)) |
(- y (* t z)) |
(- y (* t z)) |
(* -1 (/ x (* t z))) |
(+ (* -1 (/ x (* t z))) (* -1 (/ (* x y) (* (pow t 2) (pow z 2))))) |
(+ (* -1 (/ x (* t z))) (* y (- (* -1 (/ (* x y) (* (pow t 3) (pow z 3)))) (/ x (* (pow t 2) (pow z 2)))))) |
(+ (* -1 (/ x (* t z))) (* y (- (* y (- (* -1 (/ (* x y) (* (pow t 4) (pow z 4)))) (/ x (* (pow t 3) (pow z 3))))) (/ x (* (pow t 2) (pow z 2)))))) |
(* -1 (* t z)) |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(* -1 (/ x (* t z))) |
(+ (* -1 (/ x (* t z))) (* -1 (/ (* x y) (* (pow t 2) (pow z 2))))) |
(+ (* -1 (/ x (* t z))) (* y (- (* -1 (/ (* x 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)) |
(* t (* x z)) |
(+ (* t (* x z)) (* x y)) |
(+ (* t (* x z)) (* x y)) |
(+ (* t (* x z)) (* 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) |
(/ 1 y) |
(/ (+ 1 (/ (* t z) y)) y) |
(/ (- (+ 1 (/ (* (pow t 2) (pow z 2)) (pow y 2))) (* -1 (/ (* t z) y))) y) |
(/ (- (+ 1 (/ (* (pow t 3) (pow z 3)) (pow y 3))) (+ (* -1 (/ (* t z) y)) (* -1 (/ (* (pow t 2) (pow z 2)) (pow y 2))))) y) |
y |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(/ x y) |
(/ x 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) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ x y) |
(/ (+ x (/ (* t (* x z)) y)) y) |
(/ (- (+ x (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))) (* -1 (/ (* t (* x z)) y))) y) |
(/ (- (+ x (/ (* (pow t 3) (* x (pow z 3))) (pow y 3))) (+ (* -1 (/ (* t (* x z)) y)) (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))))) y) |
(/ 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))) |
y |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(/ x y) |
(/ (+ x (/ (* t (* x z)) y)) y) |
(/ (- (+ x (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))) (* -1 (/ (* t (* x z)) y))) y) |
(/ (- (+ x (/ (* (pow t 3) (* x (pow z 3))) (pow y 3))) (+ (* -1 (/ (* t (* x z)) y)) (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))))) y) |
y |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(* y (+ 1 (* -1 (/ (* t z) y)))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ x y) |
(/ (+ x (/ (* t (* x z)) y)) y) |
(/ (- (+ x (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))) (* -1 (/ (* t (* x z)) y))) y) |
(/ (- (+ x (/ (* (pow t 3) (* x (pow z 3))) (pow y 3))) (+ (* -1 (/ (* t (* x z)) y)) (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))))) y) |
(/ y x) |
(* y (+ (* -1 (/ (* t z) (* x y))) (/ 1 x))) |
(* y (+ (* -1 (/ (* t z) (* x y))) (/ 1 x))) |
(* y (+ (* -1 (/ (* t z) (* x y))) (/ 1 x))) |
(* x y) |
(* y (+ x (/ (* t (* x z)) y))) |
(* y (+ x (/ (* t (* x z)) y))) |
(* y (+ x (/ (* t (* x z)) y))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* t (* x z)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (* (pow t 2) (* x (pow z 2))) y) (* -1 (* t (* x z)))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow t 3) (* x (pow z 3))) y)) (* (pow t 2) (* x (pow z 2)))) y)) (* -1 (* t (* x z)))) y))) y)) |
(/ 1 y) |
(* -1 (/ (- (* -1 (/ (* t z) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow t 2) (pow z 2)) y) (* -1 (* t z))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow t 3) (pow z 3)) y)) (* (pow t 2) (pow z 2))) y)) (* -1 (* t z))) y)) 1) y)) |
y |
(* -1 (* y (- (/ (* t z) y) 1))) |
(* -1 (* y (- (/ (* t z) y) 1))) |
(* -1 (* y (- (/ (* t z) y) 1))) |
(/ x y) |
(/ 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)) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ -1 y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* t (* x z)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* t (* x z)) (/ (* (pow t 2) (* x (pow z 2))) y)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (+ (* -1 (/ (+ (* -1 (* (pow t 2) (* x (pow z 2)))) (* -1 (/ (* (pow t 3) (* x (pow z 3))) y))) y)) (* t (* x z))) y))) y)) |
(/ 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)))) |
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 (/ (- (/ (* (pow t 2) (* x (pow z 2))) y) (* -1 (* t (* x z)))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow t 3) (* x (pow z 3))) y)) (* (pow t 2) (* x (pow z 2)))) y)) (* -1 (* t (* x z)))) y))) y)) |
y |
(* -1 (* y (- (/ (* t z) y) 1))) |
(* -1 (* y (- (/ (* t z) y) 1))) |
(* -1 (* y (- (/ (* t z) y) 1))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* t (* x z)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (* (pow t 2) (* x (pow z 2))) y) (* -1 (* t (* x z)))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow t 3) (* x (pow z 3))) y)) (* (pow t 2) (* x (pow z 2)))) y)) (* -1 (* 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 (* 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))))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* 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))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ 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 (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ (+ y (* -1 (* t z))) x) |
(/ (+ y (* -1 (* t z))) x) |
(/ (+ y (* -1 (* t z))) x) |
(/ (+ y (* -1 (* t z))) x) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* 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))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ 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 (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ (+ y (* -1 (* t z))) x) |
(/ (+ y (* -1 (* t z))) x) |
(/ (+ y (* -1 (* t z))) x) |
(/ (+ y (* -1 (* t z))) x) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(* x (+ y (* t z))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* 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))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(/ 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 (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ 1 x) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ (+ y (* -1 (* t z))) x) |
(/ (+ y (* -1 (* t z))) x) |
(/ (+ y (* -1 (* t z))) x) |
(/ (+ y (* -1 (* t z))) x) |
(* 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))) |
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(*.f64 (neg.f64 y) (fma.f64 (/.f64 z y) t #s(literal -1 binary64))) |
(* -1 (* y (- (/ (* t z) y) 1))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 z y) t #s(literal -1 binary64))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 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 (/ (- (/ (* (pow t 2) (* x (pow z 2))) y) (* -1 (* t (* x z)))) y))) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 t x) z (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) z) z) x) y)) y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow t 3) (* x (pow z 3))) y)) (* (pow t 2) (* x (pow z 2)))) y)) (* -1 (* t (* x z)))) y))) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 t x) z (/.f64 (fma.f64 (/.f64 (*.f64 (pow.f64 z #s(literal 3 binary64)) x) y) (pow.f64 t #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 t t) z) z) x)) y)) y) x) y) |
(/ y x) |
(/.f64 y x) |
(* -1 (* y (- (/ (* t z) (* x y)) (/ 1 x)))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 t y) (/.f64 z x) (/.f64 #s(literal -1 binary64) x))) |
(* -1 (* y (- (/ (* t z) (* x y)) (/ 1 x)))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 t y) (/.f64 z x) (/.f64 #s(literal -1 binary64) x))) |
(* -1 (* y (- (/ (* t z) (* x y)) (/ 1 x)))) |
(*.f64 (neg.f64 y) (fma.f64 (/.f64 t y) (/.f64 z x) (/.f64 #s(literal -1 binary64) x))) |
(* x y) |
(*.f64 y x) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t (* x z)) y))))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 x y)) t x) y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t (* x z)) y))))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 x y)) t x) y) |
(* -1 (* y (+ (* -1 x) (* -1 (/ (* t (* x z)) y))))) |
(*.f64 (fma.f64 (*.f64 z (/.f64 x y)) t x) y) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/ 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 (-.f64 y (*.f64 z t))) |
(/ x (- y (* t z))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/ x (- y (* t z))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/ x (- y (* t z))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(* -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 (-.f64 y (*.f64 z t))) |
(/ x (- y (* t z))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/ x (- y (* t z))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/ x (- y (* t z))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/ (- y (* t z)) x) |
(/.f64 (-.f64 y (*.f64 z t)) x) |
(/ (- y (* t z)) x) |
(/.f64 (-.f64 y (*.f64 z t)) x) |
(/ (- y (* t z)) x) |
(/.f64 (-.f64 y (*.f64 z t)) x) |
(/ (- y (* t z)) x) |
(/.f64 (-.f64 y (*.f64 z t)) x) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/ x (+ y (* -1 (* t z)))) |
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(/ x (+ y (* -1 (* t z)))) |
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(/ x (+ y (* -1 (* t z)))) |
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(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/ (+ y (* -1 (* t z))) x) |
(/.f64 (-.f64 y (*.f64 z t)) x) |
(/ (+ y (* -1 (* t z))) x) |
(/.f64 (-.f64 y (*.f64 z t)) x) |
(/ (+ y (* -1 (* t z))) x) |
(/.f64 (-.f64 y (*.f64 z t)) x) |
(/ (+ y (* -1 (* t z))) x) |
(/.f64 (-.f64 y (*.f64 z t)) 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 (fma.f64 z t y) x) |
(/ x (+ y (* -1 (* t z)))) |
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(/ x (+ y (* -1 (* t z)))) |
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(/ x (+ y (* -1 (* t z)))) |
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(/ x y) |
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(/ x y) |
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(/ x y) |
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(/ x (- y (* t z))) |
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(/ x (- y (* t z))) |
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(/ x (- y (* t z))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(/ x (- y (* t z))) |
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(/ x (- y (* t z))) |
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(/ x (- y (* t z))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/ x (- y (* t z))) |
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(/ (- y (* t z)) x) |
(/.f64 (-.f64 y (*.f64 z t)) x) |
(/ (- y (* t z)) x) |
(/.f64 (-.f64 y (*.f64 z t)) x) |
(/ (- y (* t z)) x) |
(/.f64 (-.f64 y (*.f64 z t)) x) |
(/ (- y (* t z)) x) |
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(/ 1 x) |
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(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
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(*.f64 (fma.f64 z t y) x) |
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(*.f64 (fma.f64 z t y) x) |
(* x (+ y (* t z))) |
(*.f64 (fma.f64 z t y) x) |
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(*.f64 (fma.f64 z t y) x) |
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(/ x y) |
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(/ x y) |
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(/ x y) |
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(/ x (- y (* t z))) |
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(/ x (- y (* t z))) |
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(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
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(/ x (- y (* t z))) |
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(/ x (- y (* t z))) |
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(/ x (- y (* t z))) |
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(/ (- y (* t z)) x) |
(/.f64 (-.f64 y (*.f64 z t)) x) |
(/ (- y (* t z)) x) |
(/.f64 (-.f64 y (*.f64 z t)) x) |
(/ (- y (* t z)) x) |
(/.f64 (-.f64 y (*.f64 z t)) x) |
(/ (- y (* t z)) x) |
(/.f64 (-.f64 y (*.f64 z t)) x) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ 1 x) |
(/.f64 #s(literal 1 binary64) x) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/ (+ y (* -1 (* t z))) x) |
(/.f64 (-.f64 y (*.f64 z t)) x) |
(/ (+ y (* -1 (* t z))) x) |
(/.f64 (-.f64 y (*.f64 z t)) x) |
(/ (+ y (* -1 (* t z))) x) |
(/.f64 (-.f64 y (*.f64 z t)) x) |
(/ (+ y (* -1 (* t z))) x) |
(/.f64 (-.f64 y (*.f64 z t)) 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 (fma.f64 z t y) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 182 |
| 0 | 59 | 150 |
| 1 | 224 | 128 |
| 2 | 1523 | 124 |
| 0 | 9149 | 124 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (pow.f64 (fma.f64 t (neg.f64 z) y) #s(literal -1 binary64)) x) |
(pow.f64 (fma.f64 t (neg.f64 z) y) #s(literal -1 binary64)) |
(fma.f64 t (neg.f64 z) y) |
(neg.f64 z) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y)) |
#s(approx (/ x (- y (* z t))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) |
(neg.f64 x) |
(/.f64 #s(literal -1 binary64) y) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x)) |
(/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x) |
#s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) |
(*.f64 (neg.f64 t) z) |
(*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) |
(/.f64 x (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y)) |
(fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y) |
(neg.f64 (*.f64 z z)) |
(/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x)))) |
(*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z y) x))) |
(neg.f64 t) |
(*.f64 z z) |
(*.f64 (fma.f64 t z y) x) |
| Outputs |
|---|
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Compiled 43 122 to 3 965 computations (90.8% saved)
14 alts after pruning (11 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 077 | 8 | 2 085 |
| Fresh | 6 | 3 | 9 |
| Picked | 5 | 0 | 5 |
| Done | 0 | 3 | 3 |
| Total | 2 088 | 14 | 2 102 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 80.3% | (/.f64 x (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) t y)) |
| ✓ | 96.9% | (/.f64 x (fma.f64 (neg.f64 z) t y)) |
| 86.1% | (/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y))) | |
| 54.4% | (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) | |
| ✓ | 96.1% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) |
| 54.1% | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y (* t z)) (/.f64 t (/.f64 #s(literal -1 binary64) z))) x)) | |
| ▶ | 96.0% | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) |
| ▶ | 56.5% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 (neg.f64 t) x) z))) |
| 53.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x)))) | |
| 49.0% | (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (*.f64 (*.f64 z t) z))) t)) x) | |
| ▶ | 52.2% | (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) x) |
| ▶ | 54.3% | (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) |
| 49.2% | #s(approx (/ x (- y (* z t))) (/.f64 (fma.f64 (/.f64 y (*.f64 (*.f64 t t) z)) x (/.f64 x t)) (neg.f64 z))) | |
| ✓ | 52.3% | #s(approx (/ x (- y (* z t))) (/.f64 x y)) |
Compiled 252 to 248 computations (1.6% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) z) | |
| cost-diff | 0 | (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) t y) | |
| cost-diff | 0 | (/.f64 x (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) t y)) | |
| cost-diff | 1216 | (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) | |
| cost-diff | 0 | (/.f64 (neg.f64 t) x) | |
| cost-diff | 0 | (*.f64 (/.f64 (neg.f64 t) x) z) | |
| cost-diff | 0 | #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 (neg.f64 t) x) z)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 (neg.f64 t) x) z))) | |
| cost-diff | 0 | (*.f64 z t) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) (*.f64 z t)) | |
| cost-diff | 0 | #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) | |
| cost-diff | 0 | (*.f64 #s(approx (pow (+ (* t (neg z)) y) -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 (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) x) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 z t (neg.f64 y)) | |
| cost-diff | 320 | (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) |
Useful iterations: 3 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 196 |
| 0 | 55 | 191 |
| 1 | 100 | 189 |
| 2 | 175 | 182 |
| 3 | 313 | 171 |
| 4 | 604 | 171 |
| 5 | 1362 | 171 |
| 6 | 3559 | 171 |
| 7 | 5440 | 171 |
| 8 | 6493 | 171 |
| 9 | 7118 | 171 |
| 10 | 7934 | 171 |
| 0 | 8424 | 171 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 z t (neg.f64 y)) |
z |
t |
(neg.f64 y) |
y |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) |
#s(approx (pow (+ (* t (neg z)) y) -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 (/.f64 (neg.f64 t) x) z))) |
#s(literal 1 binary64) |
#s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 (neg.f64 t) x) z)) |
(*.f64 (/.f64 (neg.f64 t) x) z) |
(/.f64 (neg.f64 t) x) |
(neg.f64 t) |
t |
x |
z |
(/.f64 x (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) t y)) |
x |
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) t y) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 z z) |
t |
y |
| Outputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
#s(literal 1 binary64) |
(*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 (fma.f64 (neg.f64 t) z y) x) |
(fma.f64 z t (neg.f64 y)) |
(fma.f64 t z (neg.f64 y)) |
z |
t |
(neg.f64 y) |
y |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
#s(literal 1 binary64) |
y |
x |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 t z))) x) |
#s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) |
#s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 t z))) |
(/.f64 #s(literal -1 binary64) (*.f64 z t)) |
(/.f64 #s(literal -1 binary64) (*.f64 t z)) |
#s(literal -1 binary64) |
(*.f64 z t) |
(*.f64 t z) |
z |
t |
x |
(/.f64 #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 (/.f64 (neg.f64 t) x) z)) |
(*.f64 (/.f64 (neg.f64 t) x) z) |
(/.f64 (neg.f64 t) x) |
(neg.f64 t) |
t |
x |
z |
(/.f64 x (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) t y)) |
(/.f64 x (fma.f64 (neg.f64 t) z y)) |
x |
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) t y) |
(fma.f64 (neg.f64 t) z y) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(neg.f64 z) |
(/.f64 #s(literal -1 binary64) z) |
#s(literal -1 binary64) |
z |
(*.f64 z z) |
t |
y |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal -1 binary64) z) | |
| accuracy | 0 | (*.f64 z z) | |
| accuracy | 1.9601970362134233 | (/.f64 x (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) t y)) | |
| accuracy | 29.02077669906387 | (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 0.6019151267835109 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 (neg.f64 t) x) z))) | |
| accuracy | 3.94516331496849 | (*.f64 (/.f64 (neg.f64 t) x) z) | |
| accuracy | 28.095462123775388 | #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 (neg.f64 t) x) z)) | |
| accuracy | 0 | (*.f64 z t) | |
| accuracy | 0.4916044425171791 | (/.f64 #s(literal -1 binary64) (*.f64 z t)) | |
| accuracy | 1.788233132351482 | (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) | |
| accuracy | 28.835999961597434 | #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) | |
| accuracy | 0 | (/.f64 #s(literal 1 binary64) y) | |
| accuracy | 1.788233132351482 | (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) x) | |
| accuracy | 33.77999207939492 | #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.6019151267835109 | (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) | |
| accuracy | 2.0581384822815747 | (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) |
| 77.0ms | 256× | 0 | valid |
Compiled 169 to 34 computations (79.9% saved)
ival-div: 19.0ms (40.4% of total)ival-mult: 15.0ms (31.9% of total)ival-add: 4.0ms (8.5% of total)ival-pow: 4.0ms (8.5% of total)ival-neg: 3.0ms (6.4% of total)ival-sub: 1.0ms (2.1% 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 #s(literal 1 binary64) (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ()) |
#s(alt (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) (patch (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 z t (neg.f64 y)) (patch (fma.f64 z t (neg.f64 y)) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (pow (+ (* t (neg z)) y) -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 (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) (patch (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) (patch #s(approx (pow (+ (* t (neg z)) y) -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 (/.f64 (neg.f64 t) x) z))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 (neg.f64 t) x) z))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 (neg.f64 t) x) z)) (patch #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 (neg.f64 t) x) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (neg.f64 t) x) z) (patch (*.f64 (/.f64 (neg.f64 t) x) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (neg.f64 t) x) (patch (/.f64 (neg.f64 t) x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) (patch (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) t y)) (patch (/.f64 x (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) t y)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) t y) (patch (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) t y) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) z) (patch (/.f64 #s(literal -1 binary64) z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ()) |
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ()) |
#s(alt (*.f64 z z) (patch (*.f64 z z) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ x y) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x y) (/ (* t (* x z)) (pow y 2))) (taylor 0 t) (#s(alt (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) #<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 #s(literal 1 binary64) (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) #<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 #s(literal 1 binary64) (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) (patch (/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (/ y x) (taylor 0 t) (#s(alt (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) (patch (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t z) x)) (/ y x)) (taylor 0 t) (#s(alt (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) (patch (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t z) x)) (/ y x)) (taylor 0 t) (#s(alt (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) (patch (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (/ (* t z) x)) (/ y x)) (taylor 0 t) (#s(alt (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) (patch (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 t) (#s(alt (fma.f64 z t (neg.f64 y)) (patch (fma.f64 z t (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* t z) y) (taylor 0 t) (#s(alt (fma.f64 z t (neg.f64 y)) (patch (fma.f64 z t (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* t z) y) (taylor 0 t) (#s(alt (fma.f64 z t (neg.f64 y)) (patch (fma.f64 z t (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (- (* t z) y) (taylor 0 t) (#s(alt (fma.f64 z t (neg.f64 y)) (patch (fma.f64 z t (neg.f64 y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 t) (#s(alt (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x y) (/ (* t (* x z)) (pow y 2))) (taylor 0 t) (#s(alt (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) 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 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) 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 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) x) (patch (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 1 y) (taylor 0 t) (#s(alt #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ 1 y) (/ (* t z) (pow y 2))) (taylor 0 t) (#s(alt #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (pow (+ (* t (neg z)) y) -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 (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (pow (+ (* t (neg z)) y) -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 (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) (patch #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (/ x y) (taylor 0 t) (#s(alt (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) (patch (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (/ x y) (/ (* t (* x z)) (pow y 2))) (taylor 0 t) (#s(alt (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) (patch (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) (taylor 0 t) (#s(alt (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) (patch (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 12.0ms | z | @ | 0 | ((/ 1 (* (+ (* z t) (neg y)) (/ -1 x))) (* (+ (* z t) (neg y)) (/ -1 x)) (+ (* z t) (neg y)) (neg y) (* (pow (+ (* t (neg z)) y) -1) x) (pow (+ (* t (neg z)) y) -1) (/ 1 y) (* (pow (+ (* t (neg z)) y) -1) x) (pow (+ (* t (neg z)) y) -1) (/ -1 (* z t)) (* z t) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (/ (neg t) x) z) (/ (neg t) x) (* (/ -1 z) (* z z)) (/ x (+ (* (* (/ -1 z) (* z z)) t) y)) (+ (* (* (/ -1 z) (* z z)) t) y) (/ -1 z) (/ -1 x) (neg t) (* z z)) |
| 3.0ms | x | @ | inf | ((/ 1 (* (+ (* z t) (neg y)) (/ -1 x))) (* (+ (* z t) (neg y)) (/ -1 x)) (+ (* z t) (neg y)) (neg y) (* (pow (+ (* t (neg z)) y) -1) x) (pow (+ (* t (neg z)) y) -1) (/ 1 y) (* (pow (+ (* t (neg z)) y) -1) x) (pow (+ (* t (neg z)) y) -1) (/ -1 (* z t)) (* z t) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (/ (neg t) x) z) (/ (neg t) x) (* (/ -1 z) (* z z)) (/ x (+ (* (* (/ -1 z) (* z z)) t) y)) (+ (* (* (/ -1 z) (* z z)) t) y) (/ -1 z) (/ -1 x) (neg t) (* z z)) |
| 3.0ms | t | @ | inf | ((/ 1 (* (+ (* z t) (neg y)) (/ -1 x))) (* (+ (* z t) (neg y)) (/ -1 x)) (+ (* z t) (neg y)) (neg y) (* (pow (+ (* t (neg z)) y) -1) x) (pow (+ (* t (neg z)) y) -1) (/ 1 y) (* (pow (+ (* t (neg z)) y) -1) x) (pow (+ (* t (neg z)) y) -1) (/ -1 (* z t)) (* z t) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (/ (neg t) x) z) (/ (neg t) x) (* (/ -1 z) (* z z)) (/ x (+ (* (* (/ -1 z) (* z z)) t) y)) (+ (* (* (/ -1 z) (* z z)) t) y) (/ -1 z) (/ -1 x) (neg t) (* z z)) |
| 2.0ms | z | @ | inf | ((/ 1 (* (+ (* z t) (neg y)) (/ -1 x))) (* (+ (* z t) (neg y)) (/ -1 x)) (+ (* z t) (neg y)) (neg y) (* (pow (+ (* t (neg z)) y) -1) x) (pow (+ (* t (neg z)) y) -1) (/ 1 y) (* (pow (+ (* t (neg z)) y) -1) x) (pow (+ (* t (neg z)) y) -1) (/ -1 (* z t)) (* z t) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (/ (neg t) x) z) (/ (neg t) x) (* (/ -1 z) (* z z)) (/ x (+ (* (* (/ -1 z) (* z z)) t) y)) (+ (* (* (/ -1 z) (* z z)) t) y) (/ -1 z) (/ -1 x) (neg t) (* z z)) |
| 2.0ms | x | @ | 0 | ((/ 1 (* (+ (* z t) (neg y)) (/ -1 x))) (* (+ (* z t) (neg y)) (/ -1 x)) (+ (* z t) (neg y)) (neg y) (* (pow (+ (* t (neg z)) y) -1) x) (pow (+ (* t (neg z)) y) -1) (/ 1 y) (* (pow (+ (* t (neg z)) y) -1) x) (pow (+ (* t (neg z)) y) -1) (/ -1 (* z t)) (* z t) (/ 1 (/ (- y (* t z)) x)) (/ (- y (* t z)) x) (* (/ (neg t) x) z) (/ (neg t) x) (* (/ -1 z) (* z z)) (/ x (+ (* (* (/ -1 z) (* z z)) t) y)) (+ (* (* (/ -1 z) (* z z)) t) y) (/ -1 z) (/ -1 x) (neg t) (* z z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 543 | 7940 |
| 1 | 1747 | 7457 |
| 2 | 5542 | 7354 |
| 0 | 8200 | 7112 |
| 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)) (/ (* x z) (pow y 2)))) (/ x y)) |
(+ (* t (+ (* t (+ (/ (* t (* x (pow z 3))) (pow y 4)) (/ (* x (pow z 2)) (pow y 3)))) (/ (* x z) (pow y 2)))) (/ x y)) |
(/ y x) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(* -1 y) |
(- (* t z) y) |
(- (* t z) y) |
(- (* t z) y) |
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(/ 1 y) |
(+ (/ 1 y) (/ (* t z) (pow y 2))) |
(+ (* t (- (/ (* t (pow z 2)) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ 1 y)) |
(+ (* t (- (* t (- (/ (* t (pow z 3)) (pow y 4)) (* -1 (/ (pow z 2) (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ 1 y)) |
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(+ (* t (- (* t (- (/ (* t (* x (pow z 3))) (pow y 4)) (* -1 (/ (* x (pow z 2)) (pow y 3))))) (* -1 (/ (* x z) (pow y 2))))) (/ x y)) |
(/ 1 y) |
(+ (/ 1 y) (/ (* t z) (pow y 2))) |
(+ (* t (- (/ (* t (pow z 2)) (pow y 3)) (* -1 (/ z (pow y 2))))) (/ 1 y)) |
(+ (* t (- (* t (- (/ (* t (pow z 3)) (pow y 4)) (* -1 (/ (pow z 2) (pow y 3))))) (* -1 (/ z (pow y 2))))) (/ 1 y)) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(/ x y) |
(+ (/ x y) (/ (* t (* x z)) (pow y 2))) |
(+ (* t (- (/ (* t (* x (pow z 2))) (pow y 3)) (* -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 x)) |
(* -1 (/ t x)) |
(* -1 (/ t x)) |
(* -1 (/ t 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)) |
y |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(+ y (* -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 y) (* t (pow z 2)))) (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3)))))) t) |
(/ (+ (* -1 (/ x z)) (+ (* -1 (/ (* x y) (* t (pow z 2)))) (+ (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3)))) (* -1 (/ (* x (pow y 3)) (* (pow t 3) (pow z 4))))))) t) |
(* -1 (/ (* t z) x)) |
(* t (+ (* -1 (/ z x)) (/ y (* t x)))) |
(* t (+ (* -1 (/ z x)) (/ y (* t x)))) |
(* t (+ (* -1 (/ z x)) (/ y (* t x)))) |
(* t z) |
(* t (+ z (* -1 (/ y t)))) |
(* t (+ z (* -1 (/ y t)))) |
(* t (+ z (* -1 (/ y t)))) |
(* -1 (/ x (* t z))) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) (/ (* x y) (* t (pow z 2)))) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 3)) (* (pow t 3) (pow z 4))))) (+ (/ (* x y) (* t (pow z 2))) (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) t) |
(/ -1 (* t z)) |
(/ (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z)) t) |
(/ (- (* -1 (/ (pow y 2) (* (pow t 2) (pow z 3)))) (+ (/ 1 z) (/ y (* t (pow z 2))))) t) |
(/ (- (* -1 (/ (pow y 3) (* (pow t 3) (pow z 4)))) (+ (/ 1 z) (+ (/ y (* t (pow z 2))) (/ (pow y 2) (* (pow t 2) (pow z 3)))))) t) |
(* -1 (/ x (* t z))) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) (/ (* x y) (* t (pow z 2)))) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (pow y 3)) (* (pow t 3) (pow z 4))))) (+ (/ (* x y) (* t (pow z 2))) (/ (* x (pow y 2)) (* (pow t 2) (pow z 3))))) t) |
(/ -1 (* t z)) |
(/ (- (* -1 (/ y (* t (pow z 2)))) (/ 1 z)) t) |
(/ (- (* -1 (/ (pow y 2) (* (pow t 2) (pow z 3)))) (+ (/ 1 z) (/ y (* t (pow z 2))))) t) |
(/ (- (* -1 (/ (pow y 3) (* (pow t 3) (pow z 4)))) (+ (/ 1 z) (+ (/ y (* t (pow z 2))) (/ (pow y 2) (* (pow t 2) (pow z 3)))))) t) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(/ -1 (* t z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -1 (/ x (* t z))) |
(/ (+ (* -1 (/ x z)) (* -1 (/ (* x y) (* t (pow z 2))))) t) |
(/ (- (+ (* -1 (/ x z)) (* -1 (/ (* x (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)) |
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(* -1 (/ t x)) |
(* -1 (/ t x)) |
(* -1 (/ t x)) |
(* -1 (/ t x)) |
(* -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 (+ (* -1 z) (/ y t))) |
(* t (+ (* -1 z) (/ y t))) |
(* t (+ (* -1 z) (/ y t))) |
(* -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 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 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)))) |
(* t z) |
(* -1 (* t (+ (* -1 z) (/ y t)))) |
(* -1 (* t (+ (* -1 z) (/ y t)))) |
(* -1 (* t (+ (* -1 z) (/ y t)))) |
(* -1 (/ x (* t z))) |
(* -1 (/ (+ (/ x z) (/ (* x y) (* t (pow z 2)))) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (* x (pow y 2)) (* t (pow z 3)))) (/ (* x y) (pow z 2))) t)) (/ x z)) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (/ (* x (pow y 3)) (* t (pow z 4))) (* -1 (/ (* x (pow y 2)) (pow z 3)))) t)) (/ (* x y) (pow z 2))) t)) (/ x z)) t)) |
(/ -1 (* t z)) |
(* -1 (/ (+ (/ 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 (/ 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)) |
(* 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) 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)))) |
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(* -1 (/ t x)) |
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(* -1 (/ t x)) |
(* -1 (/ t x)) |
(* -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 (+ z (* -1 (/ y t))))) |
(* -1 (* t (+ z (* -1 (/ y t))))) |
(* -1 (* t (+ z (* -1 (/ y t))))) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(/ 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)) |
(/ y x) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(* -1 y) |
(- (* t z) y) |
(- (* t z) y) |
(- (* t z) y) |
(/ 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 y) |
(+ (/ 1 y) (/ (* t z) (pow y 2))) |
(+ (* z (- (/ (* (pow t 2) z) (pow y 3)) (* -1 (/ t (pow y 2))))) (/ 1 y)) |
(+ (* z (- (* z (- (/ (* (pow t 3) z) (pow y 4)) (* -1 (/ (pow t 2) (pow y 3))))) (* -1 (/ t (pow y 2))))) (/ 1 y)) |
(/ 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 y) |
(+ (/ 1 y) (/ (* t z) (pow y 2))) |
(+ (* z (- (/ (* (pow t 2) z) (pow y 3)) (* -1 (/ t (pow y 2))))) (/ 1 y)) |
(+ (* z (- (* z (- (/ (* (pow t 3) z) (pow y 4)) (* -1 (/ (pow t 2) (pow y 3))))) (* -1 (/ t (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))) |
(+ (* z (- (/ (* (pow t 2) (* x z)) (pow y 3)) (* -1 (/ (* t x) (pow y 2))))) (/ x y)) |
(+ (* z (- (* z (- (/ (* (pow t 3) (* x z)) (pow y 4)) (* -1 (/ (* (pow t 2) x) (pow y 3))))) (* -1 (/ (* t x) (pow y 2))))) (/ x y)) |
(/ y x) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 (/ (* t z) x)) |
(* -1 z) |
(* -1 z) |
(* -1 z) |
(* -1 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))) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* -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 (/ (* t z) x)) |
(* z (+ (* -1 (/ t x)) (/ y (* x z)))) |
(* z (+ (* -1 (/ t x)) (/ y (* x z)))) |
(* z (+ (* -1 (/ t x)) (/ y (* x z)))) |
(* t z) |
(* z (+ t (* -1 (/ y z)))) |
(* z (+ t (* -1 (/ y z)))) |
(* z (+ t (* -1 (/ y 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) |
(* -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) |
(/ -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) |
(* -1 (/ (* t z) x)) |
(* z (+ (* -1 (/ t x)) (/ y (* x z)))) |
(* z (+ (* -1 (/ t x)) (/ y (* x z)))) |
(* z (+ (* -1 (/ t x)) (/ y (* x z)))) |
(* -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 (/ 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 (+ (* -1 t) (/ y z))) |
(* z (+ (* -1 t) (/ y z))) |
(* z (+ (* -1 t) (/ y z))) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* -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 (/ (* t z) x)) |
(* -1 (* z (+ (* -1 (/ y (* x z))) (/ t x)))) |
(* -1 (* z (+ (* -1 (/ y (* x z))) (/ t x)))) |
(* -1 (* z (+ (* -1 (/ y (* x z))) (/ t x)))) |
(* t z) |
(* -1 (* z (+ (* -1 t) (/ y z)))) |
(* -1 (* z (+ (* -1 t) (/ y z)))) |
(* -1 (* z (+ (* -1 t) (/ y 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 (/ 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)) |
(* 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) x)) |
(* -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 (/ 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 (+ t (* -1 (/ y z))))) |
(* -1 (* z (+ t (* -1 (/ y z))))) |
(* -1 (* z (+ t (* -1 (/ y z))))) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(/ -1 z) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(pow z 2) |
(* -1 (/ x (* t z))) |
(+ (* -1 (/ x (* t z))) (* -1 (/ (* x y) (* (pow t 2) (pow z 2))))) |
(+ (* -1 (/ x (* t z))) (* y (+ (* -1 (/ x (* (pow t 2) (pow z 2)))) (* -1 (/ (* x y) (* (pow t 3) (pow z 3))))))) |
(+ (* -1 (/ x (* t z))) (* y (+ (* -1 (/ x (* (pow t 2) (pow z 2)))) (* y (+ (* -1 (/ x (* (pow t 3) (pow z 3)))) (* -1 (/ (* x y) (* (pow t 4) (pow z 4))))))))) |
(* -1 (/ (* t z) x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(+ (* -1 (/ (* t z) x)) (/ y x)) |
(* t z) |
(+ (* -1 y) (* t z)) |
(+ (* -1 y) (* t z)) |
(+ (* -1 y) (* t z)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 (/ x (* t z))) |
(+ (* -1 (/ x (* t z))) (* -1 (/ (* x y) (* (pow t 2) (pow z 2))))) |
(+ (* -1 (/ x (* t z))) (* y (- (* -1 (/ (* x y) (* (pow t 3) (pow z 3)))) (/ x (* (pow t 2) (pow z 2)))))) |
(+ (* -1 (/ x (* t z))) (* y (- (* y (- (* -1 (/ (* x y) (* (pow t 4) (pow z 4)))) (/ x (* (pow t 3) (pow z 3))))) (/ x (* (pow t 2) (pow z 2)))))) |
(/ -1 (* t z)) |
(- (* -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 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(* -1 (/ x (* t z))) |
(+ (* -1 (/ x (* t z))) (* -1 (/ (* x y) (* (pow t 2) (pow z 2))))) |
(+ (* -1 (/ x (* t z))) (* y (- (* -1 (/ (* x y) (* (pow t 3) (pow z 3)))) (/ x (* (pow t 2) (pow z 2)))))) |
(+ (* -1 (/ x (* t z))) (* y (- (* y (- (* -1 (/ (* x y) (* (pow t 4) (pow z 4)))) (/ x (* (pow t 3) (pow z 3))))) (/ x (* (pow t 2) (pow z 2)))))) |
(/ -1 (* t z)) |
(- (* -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)) |
(* -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 (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(+ y (* -1 (* t z))) |
(/ x y) |
(/ (+ x (/ (* t (* x z)) y)) y) |
(/ (+ x (+ (/ (* t (* x z)) y) (/ (* (pow t 2) (* x (pow z 2))) (pow y 2)))) y) |
(/ (+ x (+ (/ (* t (* x z)) y) (+ (/ (* (pow t 2) (* x (pow z 2))) (pow y 2)) (/ (* (pow t 3) (* x (pow z 3))) (pow y 3))))) y) |
(/ y 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 y) |
(* y (- (/ (* t z) y) 1)) |
(* y (- (/ (* t z) y) 1)) |
(* y (- (/ (* t z) y) 1)) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ x y) |
(/ (+ x (/ (* t (* x z)) y)) y) |
(/ (- (+ x (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))) (* -1 (/ (* t (* x z)) y))) y) |
(/ (- (+ x (/ (* (pow t 3) (* x (pow z 3))) (pow y 3))) (+ (* -1 (/ (* t (* x z)) y)) (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))))) y) |
(/ 1 y) |
(/ (+ 1 (/ (* t z) y)) y) |
(/ (- (+ 1 (/ (* (pow t 2) (pow z 2)) (pow y 2))) (* -1 (/ (* t z) y))) y) |
(/ (- (+ 1 (/ (* (pow t 3) (pow z 3)) (pow y 3))) (+ (* -1 (/ (* t z) y)) (* -1 (/ (* (pow t 2) (pow z 2)) (pow y 2))))) y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ x y) |
(/ (+ x (/ (* t (* x z)) y)) y) |
(/ (- (+ x (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))) (* -1 (/ (* t (* x z)) y))) y) |
(/ (- (+ x (/ (* (pow t 3) (* x (pow z 3))) (pow y 3))) (+ (* -1 (/ (* t (* x z)) y)) (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))))) y) |
(/ 1 y) |
(/ (+ 1 (/ (* t z) y)) y) |
(/ (- (+ 1 (/ (* (pow t 2) (pow z 2)) (pow y 2))) (* -1 (/ (* t z) y))) y) |
(/ (- (+ 1 (/ (* (pow t 3) (pow z 3)) (pow y 3))) (+ (* -1 (/ (* t z) y)) (* -1 (/ (* (pow t 2) (pow z 2)) (pow y 2))))) y) |
(/ x y) |
(/ (+ x (/ (* t (* x z)) y)) y) |
(/ (- (+ x (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))) (* -1 (/ (* t (* x z)) y))) y) |
(/ (- (+ x (/ (* (pow t 3) (* x (pow z 3))) (pow y 3))) (+ (* -1 (/ (* t (* x z)) y)) (* -1 (/ (* (pow t 2) (* x (pow z 2))) (pow y 2))))) y) |
(/ y x) |
(* y (+ (* -1 (/ (* t z) (* x y))) (/ 1 x))) |
(* y (+ (* -1 (/ (* t z) (* x y))) (/ 1 x))) |
(* y (+ (* -1 (/ (* t z) (* x y))) (/ 1 x))) |
(/ x y) |
(/ (+ x (/ (* t (* x z)) y)) y) |
(/ (- (+ x (/ (* (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 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 y) |
(* -1 (* y (+ 1 (* -1 (/ (* t z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (* t z) y))))) |
(* -1 (* y (+ 1 (* -1 (/ (* t z) y))))) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(* -1 y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* t (* x z)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (* (pow t 2) (* x (pow z 2))) y) (* -1 (* t (* x z)))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow t 3) (* x (pow z 3))) y)) (* (pow t 2) (* x (pow z 2)))) y)) (* -1 (* t (* x z)))) y))) y)) |
(/ 1 y) |
(* -1 (/ (- (* -1 (/ (* t z) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow t 2) (pow z 2)) y) (* -1 (* t z))) y)) 1) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow t 3) (pow z 3)) y)) (* (pow t 2) (pow z 2))) y)) (* -1 (* t z))) y)) 1) y)) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ 1 y) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* t (* x z)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (* (pow t 2) (* x (pow z 2))) y) (* -1 (* t (* x z)))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow t 3) (* x (pow z 3))) y)) (* (pow t 2) (* x (pow z 2)))) y)) (* -1 (* 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)))) |
(/ x y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (* t (* x z)) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (/ (* (pow t 2) (* x (pow z 2))) y) (* -1 (* t (* x z)))) y))) y)) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow t 3) (* x (pow z 3))) y)) (* (pow t 2) (* x (pow z 2)))) y)) (* -1 (* t (* x z)))) y))) y)) |
y |
(* -1 (* y (- (/ (* t z) y) 1))) |
(* -1 (* y (- (/ (* t z) y) 1))) |
(* -1 (* y (- (/ (* t z) y) 1))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ (- (* t z) y) x)) |
(* -1 (/ (- (* t z) y) x)) |
(* -1 (/ (- (* t z) y) x)) |
(* -1 (/ (- (* t z) y) x)) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* 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 (/ t x)) |
(* -1 (/ t x)) |
(* -1 (/ t x)) |
(* -1 (/ t x)) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ (- (* t z) y) x)) |
(* -1 (/ (- (* t z) y) x)) |
(* -1 (/ (- (* t z) y) x)) |
(* -1 (/ (- (* t z) y) x)) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* 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 (/ t x)) |
(* -1 (/ t x)) |
(* -1 (/ t x)) |
(* -1 (/ t x)) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ x (- (* t z) y))) |
(* -1 (/ (- (* t z) y) x)) |
(* -1 (/ (- (* t z) y) x)) |
(* -1 (/ (- (* t z) y) x)) |
(* -1 (/ (- (* t z) y) x)) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* 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 (/ t x)) |
(* -1 (/ t x)) |
(* -1 (/ t x)) |
(* -1 (/ t x)) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ x (+ y (* -1 (* t z)))) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
| 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)) (/ (* 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)) |
(/ 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 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)) |
(/ 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))) |
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(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 t x) z (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) z) z) x) y)) y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow t 3) (* x (pow z 3))) y)) (* (pow t 2) (* x (pow z 2)))) y)) (* -1 (* t (* x z)))) y))) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 t x) z (/.f64 (fma.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 3 binary64)) y)) (pow.f64 t #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 t t) z) z) x)) y)) y) x) y) |
(/ 1 y) |
(/.f64 #s(literal 1 binary64) y) |
(* -1 (/ (- (* -1 (/ (* t z) y)) 1) y)) |
(/.f64 (fma.f64 (/.f64 z y) t #s(literal 1 binary64)) y) |
(* -1 (/ (- (* -1 (/ (- (/ (* (pow t 2) (pow z 2)) y) (* -1 (* t z))) y)) 1) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 z t (/.f64 (*.f64 (*.f64 (*.f64 t t) z) z) y)) y) #s(literal 1 binary64)) 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)) |
(/.f64 (+.f64 (/.f64 (fma.f64 z t (/.f64 (fma.f64 (/.f64 (pow.f64 z #s(literal 3 binary64)) y) (pow.f64 t #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 t t) z) z)) y)) y) #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 (fma.f64 (*.f64 t x) z (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) z) z) x) y)) 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 (fma.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 3 binary64)) y)) (pow.f64 t #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 t t) z) z) x)) y)) y) x) y) |
(/ y x) |
(/.f64 y x) |
(* -1 (* y (- (/ (* t z) (* x y)) (/ 1 x)))) |
(*.f64 (fma.f64 (/.f64 t y) (/.f64 z x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y)) |
(* -1 (* y (- (/ (* t z) (* x y)) (/ 1 x)))) |
(*.f64 (fma.f64 (/.f64 t y) (/.f64 z x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 y)) |
(* -1 (* y (- (/ (* t z) (* x y)) (/ 1 x)))) |
(*.f64 (fma.f64 (/.f64 t y) (/.f64 z x) (/.f64 #s(literal -1 binary64) x)) (neg.f64 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 (/ (- (/ (* (pow t 2) (* x (pow z 2))) y) (* -1 (* t (* x z)))) y))) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 t x) z (/.f64 (*.f64 (*.f64 (*.f64 (*.f64 t t) z) z) x) y)) y) x) y) |
(* -1 (/ (+ (* -1 x) (* -1 (/ (- (* -1 (/ (- (* -1 (/ (* (pow t 3) (* x (pow z 3))) y)) (* (pow t 2) (* x (pow z 2)))) y)) (* -1 (* t (* x z)))) y))) y)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (*.f64 t x) z (/.f64 (fma.f64 (*.f64 x (/.f64 (pow.f64 z #s(literal 3 binary64)) y)) (pow.f64 t #s(literal 3 binary64)) (*.f64 (*.f64 (*.f64 (*.f64 t t) z) z) x)) y)) y) x) y) |
y |
(* -1 (* y (- (/ (* t z) y) 1))) |
(*.f64 (fma.f64 (/.f64 z y) t #s(literal -1 binary64)) (neg.f64 y)) |
(* -1 (* y (- (/ (* t z) y) 1))) |
(*.f64 (fma.f64 (/.f64 z y) t #s(literal -1 binary64)) (neg.f64 y)) |
(* -1 (* y (- (/ (* t z) y) 1))) |
(*.f64 (fma.f64 (/.f64 z y) t #s(literal -1 binary64)) (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 (- (* t z) y))) |
(/.f64 (neg.f64 x) (fma.f64 z t (neg.f64 y))) |
(* -1 (/ (- (* t z) y) x)) |
(/.f64 (fma.f64 z t (neg.f64 y)) (neg.f64 x)) |
(* -1 (/ (- (* t z) y) x)) |
(/.f64 (fma.f64 z t (neg.f64 y)) (neg.f64 x)) |
(* -1 (/ (- (* t z) y) x)) |
(/.f64 (fma.f64 z t (neg.f64 y)) (neg.f64 x)) |
(* -1 (/ (- (* t z) y) x)) |
(/.f64 (fma.f64 z t (neg.f64 y)) (neg.f64 x)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* 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 z) (/.f64 t x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 z) (/.f64 t x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 z) (/.f64 t x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 z) (/.f64 t x)) |
(* -1 (/ t x)) |
(/.f64 (neg.f64 t) x) |
(* -1 (/ t x)) |
(/.f64 (neg.f64 t) x) |
(* -1 (/ t x)) |
(/.f64 (neg.f64 t) x) |
(* -1 (/ t x)) |
(/.f64 (neg.f64 t) x) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) 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 (/ (- (* t z) y) x)) |
(/.f64 (fma.f64 z t (neg.f64 y)) (neg.f64 x)) |
(* -1 (/ (- (* t z) y) x)) |
(/.f64 (fma.f64 z t (neg.f64 y)) (neg.f64 x)) |
(* -1 (/ (- (* t z) y) x)) |
(/.f64 (fma.f64 z t (neg.f64 y)) (neg.f64 x)) |
(* -1 (/ (- (* t z) y) x)) |
(/.f64 (fma.f64 z t (neg.f64 y)) (neg.f64 x)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* 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 z) (/.f64 t x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 z) (/.f64 t x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 z) (/.f64 t x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 z) (/.f64 t x)) |
(* -1 (/ t x)) |
(/.f64 (neg.f64 t) x) |
(* -1 (/ t x)) |
(/.f64 (neg.f64 t) x) |
(* -1 (/ t x)) |
(/.f64 (neg.f64 t) x) |
(* -1 (/ t x)) |
(/.f64 (neg.f64 t) x) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) 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 (/ (- (* t z) y) x)) |
(/.f64 (fma.f64 z t (neg.f64 y)) (neg.f64 x)) |
(* -1 (/ (- (* t z) y) x)) |
(/.f64 (fma.f64 z t (neg.f64 y)) (neg.f64 x)) |
(* -1 (/ (- (* t z) y) x)) |
(/.f64 (fma.f64 z t (neg.f64 y)) (neg.f64 x)) |
(* -1 (/ (- (* t z) y) x)) |
(/.f64 (fma.f64 z t (neg.f64 y)) (neg.f64 x)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* 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 z) (/.f64 t x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 z) (/.f64 t x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 z) (/.f64 t x)) |
(* -1 (/ (* t z) x)) |
(*.f64 (neg.f64 z) (/.f64 t x)) |
(* -1 (/ t x)) |
(/.f64 (neg.f64 t) x) |
(* -1 (/ t x)) |
(/.f64 (neg.f64 t) x) |
(* -1 (/ t x)) |
(/.f64 (neg.f64 t) x) |
(* -1 (/ t x)) |
(/.f64 (neg.f64 t) x) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ x (+ y (* -1 (* t z)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 174 |
| 0 | 55 | 164 |
| 1 | 214 | 153 |
| 2 | 1333 | 137 |
| 0 | 9453 | 137 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) |
(*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x)) |
(fma.f64 z t (neg.f64 y)) |
(neg.f64 y) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) x) |
#s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) |
(/.f64 #s(literal 1 binary64) y) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) |
#s(approx (pow (+ (* t (neg z)) y) -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 (/.f64 (neg.f64 t) x) z))) |
#s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 (neg.f64 t) x) z)) |
(*.f64 (/.f64 (neg.f64 t) x) z) |
(/.f64 (neg.f64 t) x) |
(*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) |
(/.f64 x (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) t y)) |
(fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) t y) |
(/.f64 #s(literal -1 binary64) z) |
(/.f64 #s(literal -1 binary64) x) |
(neg.f64 t) |
(*.f64 z z) |
| Outputs |
|---|
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Compiled 29 309 to 3 467 computations (88.2% saved)
15 alts after pruning (10 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 786 | 7 | 1 793 |
| Fresh | 3 | 3 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 792 | 15 | 1 807 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 96.9% | (/.f64 x (fma.f64 (neg.f64 z) t y)) |
| 64.3% | (/.f64 x (fma.f64 z t y)) | |
| 86.1% | (/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y))) | |
| 54.4% | (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) | |
| ✓ | 96.1% | (/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) |
| 56.2% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (/.f64 (neg.f64 z) (/.f64 x t)))) | |
| 53.6% | (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 z x) (neg.f64 t)))) | |
| 59.7% | (/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 t z y) x)) | |
| 54.7% | (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) x) | |
| 54.8% | (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) x) | |
| ✓ | 52.2% | (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) x) |
| ✓ | 54.3% | (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) |
| 15.7% | (*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) y)) x) | |
| 49.2% | #s(approx (/ x (- y (* z t))) (/.f64 (fma.f64 (/.f64 y (*.f64 (*.f64 t t) z)) x (/.f64 x t)) (neg.f64 z))) | |
| ✓ | 52.3% | #s(approx (/ x (- y (* z t))) (/.f64 x y)) |
Compiled 623 to 295 computations (52.6% saved)
| Inputs |
|---|
#s(approx (/ x (- y (* z t))) (/.f64 x y)) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) y)) x) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) x) |
(/.f64 x (fma.f64 z t y)) |
#s(approx (/ x (- y (* z t))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) x) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) x) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 t z y) 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 z x) (neg.f64 t)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 (neg.f64 t) x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) 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 z) (/.f64 x t)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 t z) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y))) |
(/.f64 x (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) t y)) |
(/.f64 x (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (/.f64 t x) (/.f64 y x))) |
(/.f64 (neg.f64 (*.f64 (fma.f64 t z y) x)) (*.f64 (fma.f64 t z y) (-.f64 (*.f64 t z) y))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y (* t z)) (/.f64 t (/.f64 #s(literal -1 binary64) z))) x)) |
(/.f64 #s(approx (- (* 0 (/ (- (* t z) y) x)) (* (- (* t z) y) 1)) (*.f64 (neg.f64 t) z)) (*.f64 (-.f64 (*.f64 t z) y) (/.f64 (-.f64 (*.f64 t z) y) x))) |
#s(approx (/ x (- y (* z t))) (/.f64 (fma.f64 (/.f64 y (*.f64 (*.f64 t t) z)) x (/.f64 x t)) (neg.f64 z))) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 (-.f64 (/.f64 #s(literal -1 binary64) z) (/.f64 y (*.f64 (*.f64 z t) z))) t)) x) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 t (neg.f64 z) y) (/.f64 (fma.f64 t z y) (*.f64 (fma.f64 t z 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))) |
#s(approx (/ (neg (* (+ (* t z) y) x)) (* (+ (* t z) y) (- (* t z) y))) (/.f64 (fma.f64 (/.f64 x (*.f64 t t)) (/.f64 y z) (/.f64 x t)) (neg.f64 z))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) #s(approx (* (- (* t z) y) (/ (- (* t z) y) x)) (*.f64 t (/.f64 (*.f64 (*.f64 z t) z) x)))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 t z) y) (/.f64 (-.f64 (*.f64 t z) y) x))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (/.f64 (-.f64 (*.f64 t z) y) x)) (*.f64 (-.f64 (*.f64 t z) y) #s(literal 1 binary64))) (*.f64 (-.f64 (*.f64 t z) y) (fma.f64 t (/.f64 z x) (/.f64 (neg.f64 y) x)))) |
(*.f64 (pow.f64 (-.f64 y (*.f64 t z)) #s(literal -1 binary64)) x) |
(*.f64 (pow.f64 (fma.f64 t (neg.f64 z) y) #s(literal -1 binary64)) x) |
(*.f64 (fma.f64 t z y) (/.f64 x (-.f64 (*.f64 y y) (pow.f64 (*.f64 t z) #s(literal 2 binary64))))) |
#s(approx (/ x (- y (* z t))) (/.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) (/.f64 (/.f64 y t) t)) (/.f64 x t)) (neg.f64 z))) |
(*.f64 (pow.f64 (/.f64 #s(literal -1 binary64) x) #s(literal -1 binary64)) (pow.f64 (-.f64 (*.f64 t z) y) #s(literal -1 binary64))) |
| Outputs |
|---|
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (/.f64 t x) (/.f64 y x))) |
7 calls:
| 38.0ms | z |
| 19.0ms | (*.f64 z t) |
| 16.0ms | x |
| 15.0ms | y |
| 13.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.3% | 2 | x |
| 96.9% | 1 | y |
| 96.9% | 1 | z |
| 96.9% | 1 | t |
| 96.9% | 1 | (/.f64 x (-.f64 y (*.f64 z t))) |
| 99.1% | 2 | (-.f64 y (*.f64 z t)) |
| 99.1% | 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 (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) y)) x) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) x) |
(/.f64 x (fma.f64 z t y)) |
#s(approx (/ x (- y (* z t))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) x) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) x) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 t z y) 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 z x) (neg.f64 t)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 (neg.f64 t) x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) 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 z) (/.f64 x t)))) |
(/.f64 #s(literal 1 binary64) (*.f64 (/.f64 #s(literal -1 binary64) x) (-.f64 (*.f64 t z) y))) |
(/.f64 #s(literal 1 binary64) (*.f64 (fma.f64 z t (neg.f64 y)) (/.f64 #s(literal -1 binary64) x))) |
(/.f64 x #s(approx (- y (* z t)) (*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) #s(literal 1 binary64)) y))) |
(/.f64 x (fma.f64 (*.f64 (/.f64 #s(literal -1 binary64) z) (*.f64 z z)) t y)) |
(/.f64 x (fma.f64 (*.f64 (neg.f64 (*.f64 z z)) (/.f64 #s(literal 1 binary64) z)) t y)) |
| Outputs |
|---|
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (/.f64 (neg.f64 z) (/.f64 x t)))) |
3 calls:
| 15.0ms | (*.f64 z t) |
| 7.0ms | x |
| 7.0ms | (-.f64 y (*.f64 z t)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 2 | (-.f64 y (*.f64 z t)) |
| 99.1% | 2 | (*.f64 z t) |
| 96.9% | 1 | x |
Compiled 9 to 15 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (/ x (- y (* z t))) (/.f64 x y)) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) y)) x) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) x) |
(/.f64 x (fma.f64 z t y)) |
#s(approx (/ x (- y (* z t))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) x) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) x) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 t z y) 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 z x) (neg.f64 t)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 (neg.f64 t) x) z))) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- y (* t z)) (*.f64 (neg.f64 t) z)) x)) |
(/.f64 #s(literal 1 binary64) (/.f64 (-.f64 y (*.f64 t z)) x)) |
| Outputs |
|---|
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x)))) |
2 calls:
| 6.0ms | (-.f64 y (*.f64 z t)) |
| 5.0ms | (*.f64 z t) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.1% | 2 | (-.f64 y (*.f64 z t)) |
| 99.1% | 2 | (*.f64 z t) |
Compiled 8 to 11 computations (-37.5% saved)
| Inputs |
|---|
#s(approx (/ x (- y (* z t))) (/.f64 x y)) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) y)) x) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) x) |
(/.f64 x (fma.f64 z t y)) |
#s(approx (/ x (- y (* z t))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) (*.f64 z t))) x) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 (/.f64 #s(literal -1 binary64) t) z)) x) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 (/.f64 #s(literal -1 binary64) z) t)) x) |
(/.f64 #s(literal -1 binary64) (/.f64 (fma.f64 t z y) x)) |
| Outputs |
|---|
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
7 calls:
| 20.0ms | (*.f64 z t) |
| 7.0ms | y |
| 6.0ms | (/.f64 x (-.f64 y (*.f64 z t))) |
| 4.0ms | x |
| 4.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 1 | x |
| 96.9% | 1 | y |
| 96.9% | 1 | z |
| 96.9% | 1 | t |
| 96.9% | 1 | (/.f64 x (-.f64 y (*.f64 z t))) |
| 96.9% | 1 | (-.f64 y (*.f64 z t)) |
| 96.9% | 1 | (*.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 (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) y)) x) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) x) |
(/.f64 x (fma.f64 z t y)) |
#s(approx (/ x (- y (* z t))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) |
(/.f64 x (-.f64 y (*.f64 z t))) |
| Outputs |
|---|
(/.f64 x (-.f64 y (*.f64 z t))) |
7 calls:
| 211.0ms | (/.f64 x (-.f64 y (*.f64 z t))) |
| 3.0ms | t |
| 3.0ms | y |
| 3.0ms | x |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.9% | 1 | x |
| 96.9% | 1 | y |
| 96.9% | 1 | z |
| 96.9% | 1 | t |
| 96.9% | 1 | (/.f64 x (-.f64 y (*.f64 z t))) |
| 96.9% | 1 | (-.f64 y (*.f64 z t)) |
| 96.9% | 1 | (*.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 (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) y)) x) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) x) |
(/.f64 x (fma.f64 z t y)) |
#s(approx (/ x (- y (* z t))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) |
(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) |
| Outputs |
|---|
(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) |
#s(approx (/ x (- y (* z t))) (/.f64 x y)) |
(/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) |
7 calls:
| 15.0ms | (-.f64 y (*.f64 z t)) |
| 5.0ms | x |
| 3.0ms | y |
| 3.0ms | t |
| 3.0ms | (/.f64 x (-.f64 y (*.f64 z t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 68.2% | 3 | x |
| 79.6% | 3 | y |
| 78.0% | 3 | z |
| 76.4% | 3 | t |
| 68.5% | 3 | (/.f64 x (-.f64 y (*.f64 z t))) |
| 64.3% | 1 | (-.f64 y (*.f64 z t)) |
| 82.9% | 3 | (*.f64 z t) |
Compiled 19 to 34 computations (-78.9% saved)
| Inputs |
|---|
#s(approx (/ x (- y (* z t))) (/.f64 x y)) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) y)) x) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) x) |
(/.f64 x (fma.f64 z t y)) |
#s(approx (/ x (- y (* z t))) (*.f64 (neg.f64 x) (/.f64 #s(literal -1 binary64) y))) |
| Outputs |
|---|
(/.f64 x (fma.f64 z t y)) |
6 calls:
| 5.0ms | x |
| 2.0ms | z |
| 2.0ms | (*.f64 z t) |
| 2.0ms | t |
| 2.0ms | (/.f64 x (-.f64 y (*.f64 z t))) |
| Accuracy | Segments | Branch |
|---|---|---|
| 64.3% | 1 | x |
| 64.3% | 1 | (/.f64 x (-.f64 y (*.f64 z t))) |
| 64.3% | 1 | t |
| 64.3% | 1 | z |
| 64.3% | 1 | y |
| 64.3% | 1 | (*.f64 z t) |
Compiled 14 to 28 computations (-100% saved)
Total -23.8b remaining (-78%)
Threshold costs -23.8b (-78%)
| Inputs |
|---|
#s(approx (/ x (- y (* z t))) (/.f64 x y)) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal -1 binary64) y)) x) |
(*.f64 #s(approx (pow (+ (* t (neg z)) y) -1) (/.f64 #s(literal 1 binary64) y)) x) |
| Outputs |
|---|
#s(approx (/ x (- y (* z t))) (/.f64 x y)) |
7 calls:
| 2.0ms | (/.f64 x (-.f64 y (*.f64 z t))) |
| 2.0ms | z |
| 2.0ms | t |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.3% | 1 | t |
| 52.3% | 1 | (-.f64 y (*.f64 z t)) |
| 52.3% | 1 | (*.f64 z t) |
| 52.3% | 1 | x |
| 52.3% | 1 | (/.f64 x (-.f64 y (*.f64 z t))) |
| 52.3% | 1 | y |
| 52.3% | 1 | z |
Compiled 19 to 34 computations (-78.9% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 6.262851863971709e-24 | 2.419825817242397e-22 |
| 6.0ms | 112× | 0 | valid |
Compiled 136 to 147 computations (-8.1% saved)
ival-sub: 1.0ms (34.3% of total)ival-div: 1.0ms (34.3% of total)ival-mult: 1.0ms (34.3% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.63605234831626e+267 | 2.6932543698017257e+277 |
Compiled 10 to 14 computations (-40% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.931815818535422e+294 | +inf |
Compiled 10 to 14 computations (-40% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.1640165968681464e+21 | 2.5703458433952e+33 |
| 0.0ms | -5.903477011844742e+58 | -1.5301572124420277e+51 |
Compiled 10 to 14 computations (-40% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 52 | 158 |
| 1 | 73 | 158 |
| 2 | 91 | 158 |
| 3 | 110 | 158 |
| 4 | 119 | 158 |
| 5 | 123 | 158 |
| 6 | 124 | 158 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 x #s(literal 5104235503814077/21267647932558653966460912964485513216 binary64)) (/.f64 x (fma.f64 (neg.f64 z) t y)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (/.f64 t x) (/.f64 y x)))) |
(if (<=.f64 (*.f64 z t) #s(literal 9999999999999999734382248541602273058775185611228237505937125919871459640244446566940444044768686890151491676229963091901658245840231469410183497393091354632481226134593141070740392918115693292196488489075430041978905121877944698963704207935331634934234728920650874880 binary64)) (/.f64 x (fma.f64 (neg.f64 z) t y)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (/.f64 (neg.f64 z) (/.f64 x t))))) |
(if (<=.f64 (*.f64 z t) #s(literal 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264 binary64)) (/.f64 x (fma.f64 (neg.f64 z) t y)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x))))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(if (<=.f64 (*.f64 z t) #s(literal -49999999999999998584394024780232100424968164183088578953216 binary64)) (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) (if (<=.f64 (*.f64 z t) #s(literal 2000000000000000000000 binary64)) #s(approx (/ x (- y (* z t))) (/.f64 x y)) (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))))) |
(/.f64 x (fma.f64 z t y)) |
#s(approx (/ x (- y (* z t))) (/.f64 x y)) |
| Outputs |
|---|
(if (<=.f64 x #s(literal 5104235503814077/21267647932558653966460912964485513216 binary64)) (/.f64 x (fma.f64 (neg.f64 z) t y)) (/.f64 #s(literal 1 binary64) (fma.f64 (neg.f64 z) (/.f64 t x) (/.f64 y x)))) |
(if (<=.f64 (*.f64 z t) #s(literal 9999999999999999734382248541602273058775185611228237505937125919871459640244446566940444044768686890151491676229963091901658245840231469410183497393091354632481226134593141070740392918115693292196488489075430041978905121877944698963704207935331634934234728920650874880 binary64)) (/.f64 x (fma.f64 (neg.f64 z) t y)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (/.f64 (neg.f64 z) (/.f64 x t))))) |
(if (<=.f64 (*.f64 t z) #s(literal 9999999999999999734382248541602273058775185611228237505937125919871459640244446566940444044768686890151491676229963091901658245840231469410183497393091354632481226134593141070740392918115693292196488489075430041978905121877944698963704207935331634934234728920650874880 binary64)) (/.f64 x (fma.f64 (neg.f64 z) t y)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (/.f64 (neg.f64 z) (/.f64 x t))))) |
(if (<=.f64 (*.f64 z t) #s(literal 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264 binary64)) (/.f64 x (fma.f64 (neg.f64 z) t y)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (neg.f64 t) (/.f64 z x))))) |
(if (<=.f64 (*.f64 t z) #s(literal 9999999999999999813486777206230041577815560719820581330098483720446847883279500839884297726782854580737362697004022581572770293687044935910015528960168049498887207223940204684198896264456339658487887951484580004902758521100414464490983962613190835886243290260424727924570510530141380583845003264 binary64)) (/.f64 x (fma.f64 (neg.f64 z) t y)) (/.f64 #s(literal 1 binary64) #s(approx (/ (- y (* t z)) x) (*.f64 (/.f64 (neg.f64 z) x) t)))) |
(/.f64 x (fma.f64 (neg.f64 z) t y)) |
(/.f64 x (-.f64 y (*.f64 z t))) |
(/.f64 x (-.f64 y (*.f64 t z))) |
(if (<=.f64 (*.f64 z t) #s(literal -49999999999999998584394024780232100424968164183088578953216 binary64)) (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) (if (<=.f64 (*.f64 z t) #s(literal 2000000000000000000000 binary64)) #s(approx (/ x (- y (* z t))) (/.f64 x y)) (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))))) |
(if (<=.f64 (*.f64 t z) #s(literal -49999999999999998584394024780232100424968164183088578953216 binary64)) (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))) (if (<=.f64 (*.f64 t z) #s(literal 2000000000000000000000 binary64)) #s(approx (/ x (- y (* z t))) (/.f64 x y)) (/.f64 x #s(approx (- y (* z t)) (*.f64 (neg.f64 t) z))))) |
(/.f64 x (fma.f64 z t y)) |
#s(approx (/ x (- y (* z t))) (/.f64 x y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 174 |
| 0 | 55 | 164 |
| 1 | 214 | 153 |
| 2 | 1333 | 137 |
| 0 | 9453 | 137 |
| 0 | 30 | 186 |
| 0 | 51 | 127 |
| 1 | 230 | 122 |
| 2 | 1633 | 122 |
| 0 | 8704 | 122 |
| 0 | 35 | 182 |
| 0 | 59 | 150 |
| 1 | 224 | 128 |
| 2 | 1523 | 124 |
| 0 | 9149 | 124 |
| 0 | 857 | 10416 |
| 1 | 2937 | 9379 |
| 0 | 8500 | 9045 |
| 0 | 243 | 1179 |
| 1 | 779 | 1140 |
| 2 | 2704 | 1087 |
| 3 | 7691 | 1085 |
| 0 | 8981 | 1047 |
| 0 | 487 | 7703 |
| 1 | 1593 | 7254 |
| 2 | 5051 | 7150 |
| 0 | 8100 | 6872 |
| 0 | 7 | 15 |
| 0 | 10 | 15 |
| 1 | 37 | 15 |
| 2 | 248 | 15 |
| 3 | 2420 | 15 |
| 0 | 8983 | 15 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 364 to 231 computations (36.5% saved)
Compiled 504 to 264 computations (47.6% saved)
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