
Time bar (total: 8.3s)
| 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 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 5 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 6 |
| 25% | 25% | 74.9% | 0.2% | 0% | 0% | 0% | 7 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 8 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 9 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 10 |
| 37.5% | 37.4% | 62.4% | 0.2% | 0% | 0% | 0% | 11 |
| 48.4% | 48.3% | 51.5% | 0.2% | 0% | 0% | 0% | 12 |
Compiled 13 to 12 computations (7.7% saved)
| 651.0ms | 8 256× | 0 | valid |
ival-mult: 220.0ms (61% of total)ival-div: 87.0ms (24.1% of total)ival-sub: 38.0ms (10.5% of total)ival-true: 7.0ms (1.9% of total)exact: 5.0ms (1.4% of total)ival-assert: 3.0ms (0.8% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 27 | 0 | - | 0 | - | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 7 | 0 | - | 0 | - | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 0 | 0 | - | 0 | - | (*.f64 x #s(literal 2 binary64)) |
| 0 | 0 | - | 0 | - | t |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 t z) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | #s(literal 2 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 y z) |
| 0 | 0 | - | 0 | - | x |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
/.f64 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) | n/o | 22 | 0 |
| ↳ | (*.f64 t z) | overflow | 32 | |
| ↳ | (*.f64 y z) | overflow | 24 | |
| ↳ | (-.f64 (*.f64 y z) (*.f64 t z)) | overflow | 45 | |
-.f64 | (-.f64 (*.f64 y z) (*.f64 t z)) | nan-rescue | 7 | 0 |
| ↳ | (*.f64 y z) | overflow | 24 | |
| ↳ | (*.f64 t z) | overflow | 32 | |
/.f64 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) | n/u | 4 | 0 |
| ↳ | (*.f64 t z) | underflow | 26 | |
| ↳ | (*.f64 y z) | underflow | 36 | |
| ↳ | (-.f64 (*.f64 y z) (*.f64 t z)) | underflow | 10 | |
/.f64 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) | o/n | 1 | 0 |
| ↳ | (*.f64 x #s(literal 2 binary64)) | overflow | 1 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 31 | 1 |
| - | 0 | 224 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 31 | 0 | 1 |
| - | 0 | 0 | 224 |
| number | freq |
|---|---|
| 0 | 225 |
| 1 | 28 |
| 2 | 3 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 69.0ms | 512× | 0 | valid |
Compiled 79 to 34 computations (57% saved)
ival-mult: 44.0ms (86.3% of total)ival-div: 4.0ms (7.8% of total)ival-sub: 2.0ms (3.9% of total)ival-true: 1.0ms (2% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 51 | 137 |
| 1 | 177 | 126 |
| 2 | 472 | 126 |
| 3 | 1807 | 126 |
| 4 | 4450 | 126 |
| 5 | 6516 | 126 |
| 6 | 7612 | 126 |
| 7 | 7820 | 126 |
| 8 | 7898 | 126 |
| 0 | 10 | 11 |
| 0 | 15 | 9 |
| 1 | 27 | 9 |
| 2 | 53 | 9 |
| 3 | 88 | 9 |
| 4 | 119 | 9 |
| 5 | 170 | 9 |
| 6 | 302 | 9 |
| 7 | 492 | 9 |
| 8 | 844 | 9 |
| 9 | 1860 | 9 |
| 10 | 2436 | 9 |
| 11 | 2610 | 9 |
| 12 | 2709 | 9 |
| 13 | 2762 | 9 |
| 14 | 2765 | 9 |
| 15 | 2803 | 9 |
| 16 | 2803 | 9 |
| 0 | 2803 | 9 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y))) |
(negabs z)
(negabs x)
Compiled 11 to 10 computations (9.1% saved)
Compiled 0 to 4 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 88.1% | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
Compiled 11 to 10 computations (9.1% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 t z) | |
| cost-diff | 0 | (*.f64 y z) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 320 | (-.f64 (*.f64 y z) (*.f64 t z)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 32 |
| 0 | 15 | 28 |
| 1 | 27 | 28 |
| 2 | 53 | 28 |
| 3 | 88 | 28 |
| 4 | 119 | 28 |
| 5 | 170 | 28 |
| 6 | 302 | 28 |
| 7 | 492 | 28 |
| 8 | 844 | 28 |
| 9 | 1860 | 28 |
| 10 | 2436 | 28 |
| 11 | 2610 | 28 |
| 12 | 2709 | 28 |
| 13 | 2762 | 28 |
| 14 | 2765 | 28 |
| 15 | 2803 | 28 |
| 16 | 2803 | 28 |
| 0 | 2803 | 28 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(-.f64 (*.f64 y z) (*.f64 t z)) |
(*.f64 y z) |
y |
z |
(*.f64 t z) |
t |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
(-.f64 (*.f64 y z) (*.f64 t z)) |
(*.f64 (-.f64 y t) z) |
(*.f64 y z) |
(*.f64 z y) |
y |
z |
(*.f64 t z) |
t |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0 | (*.f64 t z) | |
| accuracy | 1.6523334291510292 | (-.f64 (*.f64 y z) (*.f64 t z)) | |
| accuracy | 6.216385207148702 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 25.0ms | 256× | 0 | valid |
Compiled 34 to 12 computations (64.7% saved)
ival-mult: 13.0ms (80.3% of total)ival-div: 2.0ms (12.3% of total)ival-sub: 1.0ms (6.2% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ()) |
#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* y z) (taylor 0 t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.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 (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ (* y z) t) z)) (taylor inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ (* y z) t) z)) (taylor inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ (* y z) t) z)) (taylor inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) (taylor inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) (taylor inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) (taylor inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t z)) (taylor -inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) (taylor -inf t) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor -inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) (taylor -inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) (taylor -inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) (taylor -inf t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y t)) (taylor 0 z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y t)) (taylor 0 z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y t)) (taylor 0 z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y t)) (taylor 0 z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor 0 z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y t)) (taylor inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y t)) (taylor inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y t)) (taylor inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* z (- y t)) (taylor inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
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#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (/ x (* z (- y t)))) (taylor inf z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor inf z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor inf z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 y) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 y) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 y) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* z (- (* -1 y) (* -1 t)))) (taylor -inf z) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
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#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf z) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
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#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
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#s(alt (* -2 (/ x (* z (- (* -1 y) (* -1 t))))) (taylor -inf z) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* t z)) (taylor 0 y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* y z) (* t z)) (taylor 0 y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* y z) (* t z)) (taylor 0 y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
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#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
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#s(alt (+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) (taylor 0 y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
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#s(alt (* y z) (taylor inf y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* y (+ z (* -1 (/ (* t z) y)))) (taylor inf y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) (taylor inf y) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* y (+ (* -1 z) (/ (* t z) y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* y (+ (* -1 z) (/ (* t z) y)))) (taylor -inf y) (#s(alt (-.f64 (*.f64 y z) (*.f64 t z)) (patch (-.f64 (*.f64 y z) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor -inf y) (#s(alt (*.f64 y z) (patch (*.f64 y z) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor -inf x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | x | @ | 0 | ((- (* y z) (* t z)) (* x 2) (* y z) (* t z) (/ (* x 2) (- (* y z) (* t z)))) |
| 3.0ms | t | @ | 0 | ((- (* y z) (* t z)) (* x 2) (* y z) (* t z) (/ (* x 2) (- (* y z) (* t z)))) |
| 2.0ms | z | @ | -inf | ((- (* y z) (* t z)) (* x 2) (* y z) (* t z) (/ (* x 2) (- (* y z) (* t z)))) |
| 2.0ms | z | @ | inf | ((- (* y z) (* t z)) (* x 2) (* y z) (* t z) (/ (* x 2) (- (* y z) (* t z)))) |
| 2.0ms | x | @ | inf | ((- (* y z) (* t z)) (* x 2) (* y z) (* t z) (/ (* x 2) (- (* y z) (* t z)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 1157 |
| 1 | 621 | 1109 |
| 2 | 2090 | 1067 |
| 3 | 5449 | 1063 |
| 0 | 8463 | 1032 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y z) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(* -1 (* t z)) |
(* t (- (/ (* y z) t) z)) |
(* t (- (/ (* y z) t) z)) |
(* t (- (/ (* y z) t) z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -2 (/ x (* t z))) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(* -1 (* t z)) |
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) |
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -2 (/ x (* t z))) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(* z (- y t)) |
(* z (- y t)) |
(* z (- y t)) |
(* z (- y t)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* z (- y t)) |
(* z (- y t)) |
(* z (- y t)) |
(* z (- y t)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -1 (* t z)) |
(- (* y z) (* t z)) |
(- (* y z) (* t z)) |
(- (* y z) (* t z)) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* -2 (/ x (* t z))) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(* y z) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
| Outputs |
|---|
(* y z) |
(*.f64 z y) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 (/.f64 (/.f64 t y) y) x (/.f64 x y))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) t (/.f64 x (*.f64 z y)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 (/.f64 (/.f64 t y) y) x (/.f64 x y)) (*.f64 (*.f64 t t) (*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 (/.f64 t (pow.f64 y #s(literal 4 binary64))) x (/.f64 x (pow.f64 y #s(literal 3 binary64))))))) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* t (- (/ (* y z) t) z)) |
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t) |
(* t (- (/ (* y z) t) z)) |
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t) |
(* t (- (/ (* y z) t) z)) |
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(*.f64 (*.f64 (+.f64 (/.f64 y t) #s(literal 1 binary64)) (/.f64 x z)) (/.f64 #s(literal -2 binary64) t)) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 t t)) (/.f64 y t)) (/.f64 x z)) t)) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (+.f64 (/.f64 y t) #s(literal 1 binary64)) (/.f64 x z) (*.f64 (/.f64 x z) (fma.f64 y (/.f64 y (*.f64 t t)) (/.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64)))))) t)) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) |
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t) |
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) |
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t) |
(* -1 (* t (- (* -1 (/ (* y z) t)) (* -1 z)))) |
(*.f64 (-.f64 (/.f64 (*.f64 z y) t) z) t) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(*.f64 (*.f64 (+.f64 (/.f64 y t) #s(literal 1 binary64)) (/.f64 x z)) (/.f64 #s(literal -2 binary64) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(/.f64 (fma.f64 (*.f64 (/.f64 x z) (fma.f64 y (/.f64 y t) y)) (/.f64 #s(literal -2 binary64) t) (*.f64 (/.f64 x z) #s(literal -2 binary64))) t) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal -2 binary64) y) (/.f64 x z) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 y y (/.f64 (pow.f64 y #s(literal 3 binary64)) t))) t))) t)) t) |
(* z (- y t)) |
(*.f64 (-.f64 y t) z) |
(* z (- y t)) |
(*.f64 (-.f64 y t) z) |
(* z (- y t)) |
(*.f64 (-.f64 y t) z) |
(* z (- y t)) |
(*.f64 (-.f64 y t) z) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* z (- y t)) |
(*.f64 (-.f64 y t) z) |
(* z (- y t)) |
(*.f64 (-.f64 y t) z) |
(* z (- y t)) |
(*.f64 (-.f64 y t) z) |
(* z (- y t)) |
(*.f64 (-.f64 y t) z) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(*.f64 (-.f64 y t) z) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(*.f64 (-.f64 y t) z) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(*.f64 (-.f64 y t) z) |
(* -1 (* z (- (* -1 y) (* -1 t)))) |
(*.f64 (-.f64 y t) z) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(- (* y z) (* t z)) |
(*.f64 (-.f64 y t) z) |
(- (* y z) (* t z)) |
(*.f64 (-.f64 y t) z) |
(- (* y z) (* t z)) |
(*.f64 (-.f64 y t) z) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (fma.f64 (/.f64 (/.f64 x t) t) y (/.f64 x t))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(*.f64 #s(literal -2 binary64) (fma.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 t #s(literal 3 binary64)) z)) y (/.f64 x (*.f64 (*.f64 t t) z))) y (/.f64 x (*.f64 t z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(fma.f64 (/.f64 #s(literal -2 binary64) z) (fma.f64 (/.f64 (/.f64 x t) t) y (/.f64 x t)) (*.f64 (*.f64 (/.f64 #s(literal -2 binary64) z) (fma.f64 (/.f64 x (pow.f64 t #s(literal 4 binary64))) y (/.f64 x (pow.f64 t #s(literal 3 binary64))))) (*.f64 y y))) |
(* y z) |
(*.f64 z y) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(*.f64 (-.f64 y t) z) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(*.f64 (-.f64 y t) z) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(*.f64 (-.f64 y t) z) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/.f64 (*.f64 (/.f64 x z) (fma.f64 #s(literal 2 binary64) (/.f64 t y) #s(literal 2 binary64))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(*.f64 #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 x z) (*.f64 (+.f64 #s(literal 1 binary64) (/.f64 t y)) (/.f64 t y)) (/.f64 x z)) y)) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(/.f64 (*.f64 #s(literal 2 binary64) (fma.f64 (/.f64 x z) (fma.f64 (+.f64 #s(literal 1 binary64) (/.f64 t y)) (/.f64 t y) (pow.f64 (/.f64 t y) #s(literal 3 binary64))) (/.f64 x z))) y) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (-.f64 y t) z) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (-.f64 y t) z) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (-.f64 y t) z) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(/.f64 (*.f64 (/.f64 x z) (fma.f64 #s(literal 2 binary64) (/.f64 t y) #s(literal 2 binary64))) y) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(/.f64 (fma.f64 (*.f64 (/.f64 x z) (fma.f64 t (/.f64 t y) t)) (/.f64 #s(literal 2 binary64) y) (*.f64 (/.f64 x z) #s(literal 2 binary64))) y) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal 2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) t) (/.f64 x z) (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 x z) (/.f64 (fma.f64 t t (/.f64 (pow.f64 t #s(literal 3 binary64)) y)) y)))) y)) y) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 27 |
| 0 | 15 | 23 |
| 1 | 48 | 23 |
| 2 | 330 | 23 |
| 3 | 3469 | 23 |
| 0 | 8227 | 23 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(-.f64 (*.f64 y z) (*.f64 t z)) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 y z) |
(*.f64 t z) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| Outputs |
|---|
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
#<batchref> |
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Compiled 12 941 to 1 369 computations (89.4% saved)
12 alts after pruning (11 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 533 | 11 | 544 |
| Fresh | 0 | 0 | 0 |
| Picked | 0 | 1 | 1 |
| Done | 0 | 0 | 0 |
| Total | 533 | 12 | 545 |
| Status | Accuracy | Program |
|---|---|---|
| 62.1% | (pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) | |
| ▶ | 91.9% | (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) |
| 90.8% | (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) | |
| 32.4% | (/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) z) (fma.f64 t (+.f64 t y) (*.f64 y y)))) | |
| ✓ | 88.1% | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 90.3% | (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) | |
| ▶ | 53.5% | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
| ▶ | 90.7% | (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
| 90.6% | (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) | |
| ▶ | 90.5% | (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
| 49.5% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) | |
| ▶ | 53.5% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
Compiled 241 to 234 computations (2.9% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | -384 | (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) | |
| cost-diff | 0 | (-.f64 y t) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) z) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) | |
| cost-diff | 0 | (-.f64 y t) | |
| cost-diff | 0 | (*.f64 (-.f64 y t) z) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | (*.f64 (neg.f64 t) z) | |
| cost-diff | 0 | #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z)) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) | |
| cost-diff | 0 | (*.f64 t z) | |
| cost-diff | 0 | (/.f64 x (*.f64 t z)) | |
| cost-diff | 0 | (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) | |
| cost-diff | 0 | (-.f64 y t) | |
| cost-diff | 0 | (*.f64 #s(literal 2 binary64) x) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 165 |
| 0 | 49 | 158 |
| 1 | 90 | 158 |
| 2 | 170 | 158 |
| 3 | 304 | 158 |
| 4 | 496 | 158 |
| 5 | 788 | 158 |
| 6 | 1588 | 158 |
| 7 | 2573 | 158 |
| 8 | 3219 | 158 |
| 9 | 3531 | 158 |
| 10 | 3833 | 158 |
| 11 | 3899 | 158 |
| 12 | 3958 | 158 |
| 13 | 4118 | 158 |
| 14 | 4119 | 158 |
| 15 | 4119 | 158 |
| 16 | 4119 | 158 |
| 17 | 4119 | 158 |
| 0 | 4119 | 158 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(-.f64 y t) |
y |
t |
z |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/.f64 x (*.f64 t z)) |
x |
(*.f64 t z) |
t |
z |
#s(literal -2 binary64) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
#s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z)) |
(*.f64 (neg.f64 t) z) |
(neg.f64 t) |
t |
z |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
(neg.f64 x) |
x |
(/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)) |
#s(literal -2 binary64) |
(*.f64 (-.f64 y t) z) |
(-.f64 y t) |
y |
t |
z |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
(/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) |
(/.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(-.f64 y t) |
y |
t |
x |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) (/.f64 x z)) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) |
(*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(-.f64 y t) |
y |
t |
z |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 #s(literal -2 binary64) (/.f64 x (*.f64 z t)))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 x (*.f64 z t))) |
(/.f64 x (*.f64 t z)) |
(/.f64 x (*.f64 z t)) |
x |
(*.f64 t z) |
(*.f64 z t) |
t |
z |
#s(literal -2 binary64) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
#s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z)) |
(*.f64 (neg.f64 t) z) |
(neg.f64 t) |
t |
z |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) (/.f64 x z)) |
(neg.f64 x) |
x |
(/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)) |
(/.f64 #s(literal -2 binary64) (*.f64 z (-.f64 y t))) |
#s(literal -2 binary64) |
(*.f64 (-.f64 y t) z) |
(*.f64 z (-.f64 y t)) |
(-.f64 y t) |
y |
t |
z |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) (/.f64 x z)) |
(/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) |
(/.f64 #s(literal 2 binary64) (*.f64 z (-.f64 y t))) |
(/.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
(-.f64 y t) |
y |
t |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 2 binary64) z) | |
| accuracy | 0 | (-.f64 y t) | |
| accuracy | 0.22103500976844204 | (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) | |
| accuracy | 5.8835048789488 | (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.015625 | (*.f64 (-.f64 y t) z) | |
| accuracy | 0.36496980443783916 | (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)) | |
| accuracy | 5.8835048789488 | (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0 | (neg.f64 t) | |
| accuracy | 6.216385207148702 | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) | |
| accuracy | 26.998776549484568 | #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z)) | |
| accuracy | 0 | (*.f64 t z) | |
| accuracy | 0.01171875 | (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) | |
| accuracy | 6.432362809858186 | (/.f64 x (*.f64 t z)) | |
| accuracy | 26.741667607587477 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) | |
| accuracy | 0 | (-.f64 y t) | |
| accuracy | 0 | (*.f64 #s(literal 2 binary64) x) | |
| accuracy | 0.25104995739702396 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) | |
| accuracy | 4.9348675195147615 | (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) |
| 106.0ms | 256× | 0 | valid |
Compiled 149 to 28 computations (81.2% saved)
ival-div: 23.0ms (50.2% of total)ival-mult: 18.0ms (39.3% of total)ival-sub: 2.0ms (4.4% of total)ival-neg: 2.0ms (4.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) (patch (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 2 binary64) x) (patch (*.f64 #s(literal 2 binary64) x) #<representation binary64>) () ()) |
#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ()) |
#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) #<representation binary64>) () ()) |
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* y z) (* 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 (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) (patch (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) z) (patch (/.f64 #s(literal 2 binary64) z) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) #<representation binary64>) () ()) |
#s(alt (neg.f64 t) (patch (neg.f64 t) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) (patch (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) (patch (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) (patch (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) (patch (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) (patch (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x y)) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x y)) (* 2 (/ (* t x) (pow y 2)))) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* 2 (/ (* t x) (pow y 3)))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* t (+ (* 2 (/ x (pow y 3))) (* 2 (/ (* t x) (pow y 4)))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 t)) (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 t)) (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 t)) (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* t z)) (taylor 0 t) (#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* t z)) (taylor 0 t) (#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* t z)) (taylor 0 t) (#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ x (* t z)) (taylor 0 t) (#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z)) (patch #s(approx (- (* y z) (* 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>) () ())) ()) |
#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 (/ -2 (* y z)) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* -2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* t (- (* -2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (- (* t (- (* t (- (* -2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (* y z)) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) (patch (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) (patch (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) (patch (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) (patch (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) (patch (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) 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>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) (patch (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) (patch (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) (patch (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) (patch (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor inf t) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) (patch (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) (taylor inf t) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) (patch (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) (taylor inf t) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) (patch (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) (taylor inf t) (#s(alt (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) (patch (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -2 x) (* -2 (/ (* x y) t))) t) (taylor inf t) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 x) (+ (* -2 (/ (* x y) t)) (* -2 (/ (* x (pow y 2)) (pow t 2))))) t) (taylor inf t) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 x) (+ (* -2 (/ (* x y) t)) (+ (* -2 (/ (* x (pow y 2)) (pow t 2))) (* -2 (/ (* x (pow y 3)) (pow t 3)))))) t) (taylor inf t) (#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 t) (taylor inf t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ y t) 1)) (taylor inf t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ y t) 1)) (taylor inf t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (* t (- (/ y t) 1)) (taylor inf t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ()) |
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#s(alt (/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) (taylor inf t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) (taylor inf t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) (taylor inf t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor inf t) (#s(alt (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 39.0ms | y | @ | inf | ((/ (/ (* 2 x) (- y t)) z) (/ (* 2 x) (- y t)) (* 2 x) (- y t) (/ (* x 2) (- (* y z) (* t z))) (* (/ x (* t z)) -2) (/ x (* t z)) (* t z) (/ (* x 2) (- (* y z) (* t z))) (* x 2) (- (* y z) (* t z)) (* (neg t) z) (neg x) (/ -2 (* (- y t) z)) (* (- y t) z) (/ (/ 2 z) (- y t)) (/ 2 z) (* (/ (/ 2 z) (- y t)) x) (neg t) (* (neg x) (/ -2 (* (- y t) z)))) |
| 6.0ms | z | @ | 0 | ((/ (/ (* 2 x) (- y t)) z) (/ (* 2 x) (- y t)) (* 2 x) (- y t) (/ (* x 2) (- (* y z) (* t z))) (* (/ x (* t z)) -2) (/ x (* t z)) (* t z) (/ (* x 2) (- (* y z) (* t z))) (* x 2) (- (* y z) (* t z)) (* (neg t) z) (neg x) (/ -2 (* (- y t) z)) (* (- y t) z) (/ (/ 2 z) (- y t)) (/ 2 z) (* (/ (/ 2 z) (- y t)) x) (neg t) (* (neg x) (/ -2 (* (- y t) z)))) |
| 6.0ms | t | @ | inf | ((/ (/ (* 2 x) (- y t)) z) (/ (* 2 x) (- y t)) (* 2 x) (- y t) (/ (* x 2) (- (* y z) (* t z))) (* (/ x (* t z)) -2) (/ x (* t z)) (* t z) (/ (* x 2) (- (* y z) (* t z))) (* x 2) (- (* y z) (* t z)) (* (neg t) z) (neg x) (/ -2 (* (- y t) z)) (* (- y t) z) (/ (/ 2 z) (- y t)) (/ 2 z) (* (/ (/ 2 z) (- y t)) x) (neg t) (* (neg x) (/ -2 (* (- y t) z)))) |
| 4.0ms | x | @ | inf | ((/ (/ (* 2 x) (- y t)) z) (/ (* 2 x) (- y t)) (* 2 x) (- y t) (/ (* x 2) (- (* y z) (* t z))) (* (/ x (* t z)) -2) (/ x (* t z)) (* t z) (/ (* x 2) (- (* y z) (* t z))) (* x 2) (- (* y z) (* t z)) (* (neg t) z) (neg x) (/ -2 (* (- y t) z)) (* (- y t) z) (/ (/ 2 z) (- y t)) (/ 2 z) (* (/ (/ 2 z) (- y t)) x) (neg t) (* (neg x) (/ -2 (* (- y t) z)))) |
| 4.0ms | x | @ | -inf | ((/ (/ (* 2 x) (- y t)) z) (/ (* 2 x) (- y t)) (* 2 x) (- y t) (/ (* x 2) (- (* y z) (* t z))) (* (/ x (* t z)) -2) (/ x (* t z)) (* t z) (/ (* x 2) (- (* y z) (* t z))) (* x 2) (- (* y z) (* t z)) (* (neg t) z) (neg x) (/ -2 (* (- y t) z)) (* (- y t) z) (/ (/ 2 z) (- y t)) (/ 2 z) (* (/ (/ 2 z) (- y t)) x) (neg t) (* (neg x) (/ -2 (* (- y t) z)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 550 | 6855 |
| 1 | 1767 | 6527 |
| 2 | 5495 | 6461 |
| 0 | 8598 | 6240 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(* 2 (/ x y)) |
(+ (* 2 (/ x y)) (* 2 (/ (* t x) (pow y 2)))) |
(+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* 2 (/ (* t x) (pow y 3)))))) |
(+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* t (+ (* 2 (/ x (pow y 3))) (* 2 (/ (* t x) (pow y 4)))))))) |
y |
(+ y (* -1 t)) |
(+ y (* -1 t)) |
(+ y (* -1 t)) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(* y z) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(/ -2 (* y z)) |
(- (* -2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) |
(- (* t (- (* -2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(- (* t (- (* t (- (* -2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(* y z) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(/ 2 (* y z)) |
(+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) |
(+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* -1 t) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(* -2 (/ x (* t z))) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(* -2 (/ x t)) |
(/ (+ (* -2 x) (* -2 (/ (* x y) t))) t) |
(/ (+ (* -2 x) (+ (* -2 (/ (* x y) t)) (* -2 (/ (* x (pow y 2)) (pow t 2))))) t) |
(/ (+ (* -2 x) (+ (* -2 (/ (* x y) t)) (+ (* -2 (/ (* x (pow y 2)) (pow t 2))) (* -2 (/ (* x (pow y 3)) (pow t 3)))))) t) |
(* -1 t) |
(* t (- (/ y t) 1)) |
(* t (- (/ y t) 1)) |
(* t (- (/ y t) 1)) |
(* -2 (/ x (* t z))) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -2 (/ x (* t z))) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(* -1 (* t z)) |
(* t (- (/ (* y z) t) z)) |
(* t (- (/ (* y z) t) z)) |
(* t (- (/ (* y z) t) z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(/ 2 (* t z)) |
(/ (+ (* 2 (/ y (* t z))) (* 2 (/ 1 z))) t) |
(/ (- (+ (* 2 (/ (pow y 2) (* (pow t 2) z))) (* 2 (/ 1 z))) (* -2 (/ y (* t z)))) t) |
(/ (- (+ (* 2 (/ (pow y 3) (* (pow t 3) z))) (* 2 (/ 1 z))) (+ (* -2 (/ y (* t z))) (* -2 (/ (pow y 2) (* (pow t 2) z))))) t) |
(* -1 (* t z)) |
(* t (+ (* -1 z) (/ (* y z) t))) |
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(/ x (* t z)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (- y t))) |
(* 2 (/ x (- y t))) |
(* 2 (/ x (- y t))) |
(* 2 (/ x (- y t))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (- y t))) |
(* 2 (/ x (- y t))) |
(* 2 (/ x (- y t))) |
(* 2 (/ x (- y t))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
| Outputs |
|---|
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) z)) t (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) #s(literal 2 binary64)) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 x z) (*.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(* 2 (/ x y)) |
(*.f64 (/.f64 x y) #s(literal 2 binary64)) |
(+ (* 2 (/ x y)) (* 2 (/ (* t x) (pow y 2)))) |
(*.f64 (fma.f64 (/.f64 (/.f64 x y) y) t (/.f64 x y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* 2 (/ (* t x) (pow y 3)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (pow.f64 y #s(literal 3 binary64))) t (/.f64 (/.f64 x y) y)) #s(literal 2 binary64)) t (*.f64 (/.f64 x y) #s(literal 2 binary64))) |
(+ (* 2 (/ x y)) (* t (+ (* 2 (/ x (pow y 2))) (* t (+ (* 2 (/ x (pow y 3))) (* 2 (/ (* t x) (pow y 4)))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) y) (/.f64 x y) (*.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (/.f64 t (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))))) t (*.f64 (/.f64 x y) #s(literal 2 binary64))) |
y |
(+ y (* -1 t)) |
(-.f64 y t) |
(+ y (* -1 t)) |
(-.f64 y t) |
(+ y (* -1 t)) |
(-.f64 y t) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) z)) t (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) #s(literal 2 binary64)) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 x z) (*.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) z)) t (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) #s(literal 2 binary64)) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 x z) (*.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(* y z) |
(*.f64 z y) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(/ -2 (* y z)) |
(/.f64 #s(literal -2 binary64) (*.f64 z y)) |
(- (* -2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) |
(/.f64 (fma.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t y) (/.f64 #s(literal -2 binary64) z)) y) |
(- (* t (- (* -2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 t z) (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 y y) z))) t (/.f64 #s(literal -2 binary64) (*.f64 z y))) |
(- (* t (- (* t (- (* -2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 #s(literal -2 binary64) (pow.f64 y #s(literal 4 binary64))) (/.f64 t z) (/.f64 #s(literal -2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) t (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 y y) z))) t (/.f64 #s(literal -2 binary64) (*.f64 z y))) |
(* y z) |
(*.f64 z y) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(/ 2 (* y z)) |
(/.f64 #s(literal 2 binary64) (*.f64 z y)) |
(+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) |
(/.f64 (fma.f64 (/.f64 (/.f64 t y) z) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) z)) y) |
(+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(fma.f64 (*.f64 t (/.f64 t (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 t y) z) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) z)) y)) |
(+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) t (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) z))) t (/.f64 #s(literal 2 binary64) (*.f64 z y))) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) z)) t (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) #s(literal 2 binary64)) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 x z) (*.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* -1 t) |
(neg.f64 t) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (fma.f64 (/.f64 x (*.f64 (*.f64 y y) z)) t (/.f64 x (*.f64 z y))) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(fma.f64 (*.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) #s(literal 2 binary64)) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (*.f64 y y)) (/.f64 x z) (*.f64 (*.f64 t #s(literal 2 binary64)) (fma.f64 x (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z))))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 y t) z) x (/.f64 x z)) t)) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 x (fma.f64 y (/.f64 y (*.f64 (*.f64 t t) z)) (/.f64 (/.f64 y t) z)) (/.f64 x z))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (fma.f64 (/.f64 (/.f64 y t) z) x (/.f64 x z)) (*.f64 x (fma.f64 (/.f64 (/.f64 y t) t) (/.f64 y z) (/.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) z))))) t) |
(* -2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal -2 binary64)) |
(/ (+ (* -2 x) (* -2 (/ (* x y) t))) t) |
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 y t) x x) t)) |
(/ (+ (* -2 x) (+ (* -2 (/ (* x y) t)) (* -2 (/ (* x (pow y 2)) (pow t 2))))) t) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 x (+.f64 (/.f64 y t) (*.f64 (/.f64 y t) (/.f64 y t))) x)) t) |
(/ (+ (* -2 x) (+ (* -2 (/ (* x y) t)) (+ (* -2 (/ (* x (pow y 2)) (pow t 2))) (* -2 (/ (* x (pow y 3)) (pow t 3)))))) t) |
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (fma.f64 (/.f64 y t) x x) (*.f64 x (fma.f64 y (/.f64 (/.f64 y t) t) (pow.f64 (/.f64 y t) #s(literal 3 binary64)))))) t) |
(* -1 t) |
(neg.f64 t) |
(* t (- (/ y t) 1)) |
(fma.f64 (/.f64 y t) t (neg.f64 t)) |
(* t (- (/ y t) 1)) |
(fma.f64 (/.f64 y t) t (neg.f64 t)) |
(* t (- (/ y t) 1)) |
(fma.f64 (/.f64 y t) t (neg.f64 t)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 y t) z) x (/.f64 x z)) t)) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 x (fma.f64 y (/.f64 y (*.f64 (*.f64 t t) z)) (/.f64 (/.f64 y t) z)) (/.f64 x z))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (fma.f64 (/.f64 (/.f64 y t) z) x (/.f64 x z)) (*.f64 x (fma.f64 (/.f64 (/.f64 y t) t) (/.f64 y z) (/.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) z))))) t) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(*.f64 #s(literal -2 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 y t) z) x (/.f64 x z)) t)) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/.f64 (*.f64 #s(literal -2 binary64) (fma.f64 x (fma.f64 y (/.f64 y (*.f64 (*.f64 t t) z)) (/.f64 (/.f64 y t) z)) (/.f64 x z))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(/.f64 (*.f64 #s(literal -2 binary64) (+.f64 (fma.f64 (/.f64 (/.f64 y t) z) x (/.f64 x z)) (*.f64 x (fma.f64 (/.f64 (/.f64 y t) t) (/.f64 y z) (/.f64 (pow.f64 (/.f64 y t) #s(literal 3 binary64)) z))))) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* t (- (/ (* y z) t) z)) |
(*.f64 (-.f64 (*.f64 z (/.f64 y t)) z) t) |
(* t (- (/ (* y z) t) z)) |
(*.f64 (-.f64 (*.f64 z (/.f64 y t)) z) t) |
(* t (- (/ (* y z) t) z)) |
(*.f64 (-.f64 (*.f64 z (/.f64 y t)) z) t) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(* -1 (* t z)) |
(*.f64 (neg.f64 t) z) |
(/ 2 (* t z)) |
(/.f64 (/.f64 #s(literal 2 binary64) z) t) |
(/ (+ (* 2 (/ y (* t z))) (* 2 (/ 1 z))) t) |
(/.f64 (fma.f64 (/.f64 (/.f64 y t) z) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) z)) t) |
(/ (- (+ (* 2 (/ (pow y 2) (* (pow t 2) z))) (* 2 (/ 1 z))) (* -2 (/ y (* t z)))) t) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- y t))) |
(*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64)) |
(* 2 (/ x (- y t))) |
(*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64)) |
(* 2 (/ x (- y t))) |
(*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64)) |
(* 2 (/ x (- y t))) |
(*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
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(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/ x (* t z)) |
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(/ x (* t z)) |
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(/ x (* t z)) |
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(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
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(* 2 x) |
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(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- y t))) |
(*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (-.f64 y t)) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
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(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
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(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/ x (* t z)) |
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(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(* 2 x) |
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(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* -1 x) |
(neg.f64 x) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 31 | 136 |
| 0 | 49 | 129 |
| 1 | 172 | 129 |
| 2 | 988 | 129 |
| 0 | 8613 | 129 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) |
(*.f64 #s(literal 2 binary64) x) |
(-.f64 y t) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/.f64 x (*.f64 t z)) |
(*.f64 t z) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
(*.f64 x #s(literal 2 binary64)) |
#s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z)) |
(*.f64 (neg.f64 t) z) |
(neg.f64 x) |
(/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)) |
(*.f64 (-.f64 y t) z) |
(/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) |
(/.f64 #s(literal 2 binary64) z) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
(neg.f64 t) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
| Outputs |
|---|
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Compiled 45 996 to 4 050 computations (91.2% saved)
14 alts after pruning (11 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 470 | 9 | 2 479 |
| Fresh | 4 | 2 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 1 | 1 |
| Total | 2 477 | 14 | 2 491 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 90.8% | (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) |
| 64.1% | (/.f64 (*.f64 (/.f64 x (*.f64 (+.f64 t y) (-.f64 y t))) (*.f64 (+.f64 t y) #s(literal 2 binary64))) z) | |
| ✓ | 88.1% | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 90.3% | (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) | |
| 49.5% | (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) | |
| 54.3% | (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) z) | |
| ✓ | 90.7% | (*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
| ▶ | 49.4% | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
| 53.4% | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) | |
| ▶ | 49.5% | #s(approx (/ (/ (* 2 x) (- y t)) z) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
| ▶ | 56.0% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (*.f64 (/.f64 x z) #s(literal -2 binary64)) t)) |
| 54.2% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (*.f64 x (/.f64 #s(literal -2 binary64) t)) z)) | |
| ▶ | 52.9% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 z t) x))) |
| ✓ | 53.5% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
Compiled 226 to 232 computations (-2.7% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (*.f64 (/.f64 x z) #s(literal -2 binary64)) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 x z) #s(literal -2 binary64)) t) | |
| cost-diff | 0 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (*.f64 (/.f64 x z) #s(literal -2 binary64)) t)) | |
| cost-diff | 0 | (*.f64 z t) | |
| cost-diff | 0 | (/.f64 (*.f64 z t) x) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 z t) x)) | |
| cost-diff | 0 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 z t) x))) | |
| cost-diff | -384 | (/.f64 #s(literal 2 binary64) (*.f64 z y)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) | |
| cost-diff | -384 | (/.f64 x (*.f64 z y)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (/ (* 2 x) (- y t)) z) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) | |
| cost-diff | 0 | (-.f64 y t) | |
| cost-diff | 0 | (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 177 |
| 0 | 50 | 173 |
| 1 | 89 | 173 |
| 2 | 167 | 173 |
| 3 | 263 | 173 |
| 4 | 353 | 173 |
| 5 | 487 | 173 |
| 6 | 787 | 173 |
| 7 | 1231 | 173 |
| 8 | 2333 | 173 |
| 9 | 3654 | 173 |
| 10 | 4866 | 173 |
| 11 | 5127 | 173 |
| 12 | 5221 | 173 |
| 13 | 5283 | 173 |
| 14 | 5499 | 173 |
| 15 | 6137 | 173 |
| 16 | 6497 | 173 |
| 17 | 6497 | 173 |
| 18 | 6502 | 173 |
| 19 | 6502 | 173 |
| 20 | 7647 | 173 |
| 0 | 8113 | 173 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) |
(/.f64 x z) |
x |
z |
(*.f64 (-.f64 y t) #s(literal 1/2 binary64)) |
(-.f64 y t) |
y |
t |
#s(literal 1/2 binary64) |
#s(approx (/ (/ (* 2 x) (- y t)) z) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(/.f64 x (*.f64 z y)) |
x |
(*.f64 z y) |
z |
y |
#s(literal 2 binary64) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
#s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) |
(/.f64 #s(literal 2 binary64) (*.f64 z y)) |
#s(literal 2 binary64) |
(*.f64 z y) |
z |
y |
x |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 z t) x))) |
(/.f64 #s(literal -2 binary64) (/.f64 (*.f64 z t) x)) |
#s(literal -2 binary64) |
(/.f64 (*.f64 z t) x) |
(*.f64 z t) |
z |
t |
x |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (*.f64 (/.f64 x z) #s(literal -2 binary64)) t)) |
(/.f64 (*.f64 (/.f64 x z) #s(literal -2 binary64)) t) |
(*.f64 (/.f64 x z) #s(literal -2 binary64)) |
(/.f64 x z) |
x |
z |
#s(literal -2 binary64) |
t |
| Outputs |
|---|
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y))) |
(/.f64 x z) |
x |
z |
(*.f64 (-.f64 y t) #s(literal 1/2 binary64)) |
(*.f64 #s(literal -1/2 binary64) (-.f64 t y)) |
(-.f64 y t) |
y |
t |
#s(literal 1/2 binary64) |
#s(approx (/ (/ (* 2 x) (- y t)) z) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
#s(approx (/ (/ (* 2 x) (- y t)) z) (*.f64 (/.f64 (/.f64 x z) y) #s(literal 2 binary64))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(*.f64 (/.f64 (/.f64 x z) y) #s(literal 2 binary64)) |
(/.f64 x (*.f64 z y)) |
(/.f64 (/.f64 x z) y) |
x |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
#s(literal 2 binary64) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) z) y)) x) |
#s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) |
#s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) z) y)) |
(/.f64 #s(literal 2 binary64) (*.f64 z y)) |
(/.f64 (/.f64 #s(literal 2 binary64) z) y) |
#s(literal 2 binary64) |
(*.f64 z y) |
(*.f64 y z) |
z |
y |
x |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 z t) x))) |
#s(approx (/ (/ (* 2 x) (- y t)) z) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 x z)) t)) |
(/.f64 #s(literal -2 binary64) (/.f64 (*.f64 z t) x)) |
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 x z)) t) |
#s(literal -2 binary64) |
(/.f64 (*.f64 z t) x) |
(/.f64 (*.f64 t z) x) |
(*.f64 z t) |
(*.f64 t z) |
z |
t |
x |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (*.f64 (/.f64 x z) #s(literal -2 binary64)) t)) |
#s(approx (/ (/ (* 2 x) (- y t)) z) (/.f64 (*.f64 #s(literal -2 binary64) (/.f64 x z)) t)) |
(/.f64 (*.f64 (/.f64 x z) #s(literal -2 binary64)) t) |
(/.f64 (*.f64 #s(literal -2 binary64) (/.f64 x z)) t) |
(*.f64 (/.f64 x z) #s(literal -2 binary64)) |
(*.f64 #s(literal -2 binary64) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
#s(literal -2 binary64) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0.01171875 | (*.f64 (/.f64 x z) #s(literal -2 binary64)) | |
| accuracy | 5.76831660505685 | (/.f64 (*.f64 (/.f64 x z) #s(literal -2 binary64)) t) | |
| accuracy | 26.741667607587477 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (*.f64 (/.f64 x z) #s(literal -2 binary64)) t)) | |
| accuracy | 0 | (*.f64 z t) | |
| accuracy | 0.6838583376313812 | (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 z t) x)) | |
| accuracy | 6.430776568031182 | (/.f64 (*.f64 z t) x) | |
| accuracy | 26.741667607587477 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 z t) x))) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.3487447275019807 | (/.f64 #s(literal 2 binary64) (*.f64 z y)) | |
| accuracy | 5.8835048789488 | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) | |
| accuracy | 31.99000834982762 | #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 0.01171875 | (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) | |
| accuracy | 6.353395474790319 | (/.f64 x (*.f64 z y)) | |
| accuracy | 30.267657462568046 | #s(approx (/ (/ (* 2 x) (- y t)) z) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | (-.f64 y t) | |
| accuracy | 0 | (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) | |
| accuracy | 5.89509694178684 | (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) |
| 122.0ms | 256× | 0 | valid |
Compiled 143 to 33 computations (76.9% saved)
ival-sub: 26.0ms (38.1% of total)ival-div: 24.0ms (35.2% of total)ival-mult: 18.0ms (26.4% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) (patch (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) #<representation binary64>) () ()) |
#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (* 2 x) (- y t)) z) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) (patch #s(approx (/ (/ (* 2 x) (- y t)) z) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) (patch (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 z y)) (patch (/.f64 x (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) (patch (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) (patch #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) (*.f64 z y)) (patch (/.f64 #s(literal 2 binary64) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 z t) x))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 z t) x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 z t) x)) (patch (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 z t) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 z t) x) (patch (/.f64 (*.f64 z t) x) #<representation binary64>) () ()) |
#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (*.f64 (/.f64 x z) #s(literal -2 binary64)) t)) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (*.f64 (/.f64 x z) #s(literal -2 binary64)) t)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 x z) #s(literal -2 binary64)) t) (patch (/.f64 (*.f64 (/.f64 x z) #s(literal -2 binary64)) t) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x z) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x z) #s(literal -2 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) (patch (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) (patch (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) (patch (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) (patch (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 t) (* 1/2 y)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 t) (* 1/2 y)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 t) (* 1/2 y)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) (patch (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 32.0ms | t | @ | inf | ((/ (/ x z) (* (- y t) 1/2)) (/ x z) (* (- y t) 1/2) (- y t) (/ (/ (* 2 x) (- y t)) z) (* (/ x (* z y)) 2) (* z y) (/ x (* z y)) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ 2 (* z y)) (/ (* x 2) (- (* y z) (* t z))) (/ -2 (/ (* z t) x)) (/ (* z t) x) (* z t) (/ (* x 2) (- (* y z) (* t z))) (/ (* (/ x z) -2) t) (* (/ x z) -2)) |
| 15.0ms | z | @ | -inf | ((/ (/ x z) (* (- y t) 1/2)) (/ x z) (* (- y t) 1/2) (- y t) (/ (/ (* 2 x) (- y t)) z) (* (/ x (* z y)) 2) (* z y) (/ x (* z y)) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ 2 (* z y)) (/ (* x 2) (- (* y z) (* t z))) (/ -2 (/ (* z t) x)) (/ (* z t) x) (* z t) (/ (* x 2) (- (* y z) (* t z))) (/ (* (/ x z) -2) t) (* (/ x z) -2)) |
| 5.0ms | x | @ | inf | ((/ (/ x z) (* (- y t) 1/2)) (/ x z) (* (- y t) 1/2) (- y t) (/ (/ (* 2 x) (- y t)) z) (* (/ x (* z y)) 2) (* z y) (/ x (* z y)) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ 2 (* z y)) (/ (* x 2) (- (* y z) (* t z))) (/ -2 (/ (* z t) x)) (/ (* z t) x) (* z t) (/ (* x 2) (- (* y z) (* t z))) (/ (* (/ x z) -2) t) (* (/ x z) -2)) |
| 4.0ms | x | @ | -inf | ((/ (/ x z) (* (- y t) 1/2)) (/ x z) (* (- y t) 1/2) (- y t) (/ (/ (* 2 x) (- y t)) z) (* (/ x (* z y)) 2) (* z y) (/ x (* z y)) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ 2 (* z y)) (/ (* x 2) (- (* y z) (* t z))) (/ -2 (/ (* z t) x)) (/ (* z t) x) (* z t) (/ (* x 2) (- (* y z) (* t z))) (/ (* (/ x z) -2) t) (* (/ x z) -2)) |
| 4.0ms | z | @ | 0 | ((/ (/ x z) (* (- y t) 1/2)) (/ x z) (* (- y t) 1/2) (- y t) (/ (/ (* 2 x) (- y t)) z) (* (/ x (* z y)) 2) (* z y) (/ x (* z y)) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ 2 (* z y)) (/ (* x 2) (- (* y z) (* t z))) (/ -2 (/ (* z t) x)) (/ (* z t) x) (* z t) (/ (* x 2) (- (* y z) (* t z))) (/ (* (/ x z) -2) t) (* (/ x z) -2)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 339 | 6311 |
| 1 | 1108 | 6054 |
| 2 | 3550 | 5811 |
| 3 | 6662 | 5795 |
| 0 | 8342 | 5618 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(* 1/2 y) |
(+ (* -1/2 t) (* 1/2 y)) |
(+ (* -1/2 t) (* 1/2 y)) |
(+ (* -1/2 t) (* 1/2 y)) |
y |
(+ y (* -1 t)) |
(+ y (* -1 t)) |
(+ y (* -1 t)) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(/ 2 (* y z)) |
(+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) |
(+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(* -1/2 t) |
(* t (- (* 1/2 (/ y t)) 1/2)) |
(* t (- (* 1/2 (/ y t)) 1/2)) |
(* t (- (* 1/2 (/ y t)) 1/2)) |
(* -1 t) |
(* t (- (/ y t) 1)) |
(* t (- (/ y t) 1)) |
(* t (- (/ y t) 1)) |
(* -2 (/ x (* t z))) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(* -2 (/ x (* t z))) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(/ -2 (* t z)) |
(/ (- (* -2 (/ y (* t z))) (* 2 (/ 1 z))) t) |
(/ (- (* -2 (/ (pow y 2) (* (pow t 2) z))) (+ (* 2 (/ y (* t z))) (* 2 (/ 1 z)))) t) |
(/ (- (* -2 (/ (pow y 3) (* (pow t 3) z))) (+ (* 2 (/ y (* t z))) (+ (* 2 (/ (pow y 2) (* (pow t 2) z))) (* 2 (/ 1 z))))) t) |
(* -2 (/ x (* t z))) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -2 (/ x (* t z))) |
(/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))))) t) |
(/ (+ (* -2 (/ x z)) (+ (* -2 (/ (* x y) (* t z))) (+ (* -2 (/ (* x (pow y 2)) (* (pow t 2) z))) (* -2 (/ (* x (pow y 3)) (* (pow t 3) z)))))) t) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(* -1/2 t) |
(* -1 (* t (+ 1/2 (* -1/2 (/ y t))))) |
(* -1 (* t (+ 1/2 (* -1/2 (/ y t))))) |
(* -1 (* t (+ 1/2 (* -1/2 (/ y t))))) |
(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ y t))))) |
(* -1 (* t (+ 1 (* -1 (/ y t))))) |
(* -1 (* t (+ 1 (* -1 (/ y t))))) |
(* -2 (/ x (* t z))) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(* -2 (/ x (* t z))) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(/ -2 (* t z)) |
(* -1 (/ (+ (* 2 (/ y (* t z))) (* 2 (/ 1 z))) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -2 (/ (pow y 2) (* t z))) (* 2 (/ y z))) t)) (* 2 (/ 1 z))) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 3) (* t z))) (* -2 (/ (pow y 2) z))) t)) (* 2 (/ y z))) t)) (* 2 (/ 1 z))) t)) |
(* -2 (/ x (* t z))) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -2 (/ x (* t z))) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
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(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
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(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ 2 (* z (- y t))) |
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(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ 2 (* z (- y t))) |
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(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(* 2 (/ x (* z (- y t)))) |
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(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
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(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
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(* 2 (/ x (* z (- y t)))) |
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(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
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(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
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(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
(* -2 (/ x (* t z))) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(* -1/2 t) |
(+ (* -1/2 t) (* 1/2 y)) |
(+ (* -1/2 t) (* 1/2 y)) |
(+ (* -1/2 t) (* 1/2 y)) |
(* -1 t) |
(- y t) |
(- y t) |
(- y t) |
(* -2 (/ x (* t z))) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* -2 (/ x (* t z))) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(/ -2 (* t z)) |
(- (* -2 (/ y (* (pow t 2) z))) (* 2 (/ 1 (* t z)))) |
(- (* y (- (* -2 (/ y (* (pow t 3) z))) (* 2 (/ 1 (* (pow t 2) z))))) (* 2 (/ 1 (* t z)))) |
(- (* y (- (* y (- (* -2 (/ y (* (pow t 4) z))) (* 2 (/ 1 (* (pow t 3) z))))) (* 2 (/ 1 (* (pow t 2) z))))) (* 2 (/ 1 (* t z)))) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(* -2 (/ x (* t z))) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(* -2 (/ x (* t z))) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(* 1/2 y) |
(* y (+ 1/2 (* -1/2 (/ t y)))) |
(* y (+ 1/2 (* -1/2 (/ t y)))) |
(* y (+ 1/2 (* -1/2 (/ t y)))) |
y |
(* y (+ 1 (* -1 (/ t y)))) |
(* y (+ 1 (* -1 (/ t y)))) |
(* y (+ 1 (* -1 (/ t y)))) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(/ 2 (* y z)) |
(/ (+ (* 2 (/ t (* y z))) (* 2 (/ 1 z))) y) |
(/ (- (+ (* 2 (/ (pow t 2) (* (pow y 2) z))) (* 2 (/ 1 z))) (* -2 (/ t (* y z)))) y) |
(/ (- (+ (* 2 (/ (pow t 3) (* (pow y 3) z))) (* 2 (/ 1 z))) (+ (* -2 (/ t (* y z))) (* -2 (/ (pow t 2) (* (pow y 2) z))))) y) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 1/2 y) |
(* -1 (* y (- (* 1/2 (/ t y)) 1/2))) |
(* -1 (* y (- (* 1/2 (/ t y)) 1/2))) |
(* -1 (* y (- (* 1/2 (/ t y)) 1/2))) |
y |
(* -1 (* y (- (/ t y) 1))) |
(* -1 (* y (- (/ t y) 1))) |
(* -1 (* y (- (/ t y) 1))) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* y z) |
(* y z) |
(* y z) |
(* y z) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/ 2 (* y z)) |
(* -1 (/ (- (* -2 (/ t (* y z))) (* 2 (/ 1 z))) y)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow t 2) (* y z))) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow t 3) (* y z))) (* 2 (/ (pow t 2) z))) y)) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(/ x (* y z)) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
(* -2 (/ x z)) |
| Outputs |
|---|
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (*.f64 y y)) (/.f64 x y))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) t (/.f64 x (*.f64 z y)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (*.f64 y y)) (/.f64 x y)) (*.f64 (*.f64 t t) (*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 t (/.f64 x (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))))) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(+ (* -1/2 t) (* 1/2 y)) |
(fma.f64 #s(literal -1/2 binary64) t (*.f64 #s(literal 1/2 binary64) y)) |
(+ (* -1/2 t) (* 1/2 y)) |
(fma.f64 #s(literal -1/2 binary64) t (*.f64 #s(literal 1/2 binary64) y)) |
(+ (* -1/2 t) (* 1/2 y)) |
(fma.f64 #s(literal -1/2 binary64) t (*.f64 #s(literal 1/2 binary64) y)) |
y |
(+ y (* -1 t)) |
(-.f64 y t) |
(+ y (* -1 t)) |
(-.f64 y t) |
(+ y (* -1 t)) |
(-.f64 y t) |
(* 2 (/ x (* y z))) |
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(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 t #s(literal 2 binary64)) (/.f64 x z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 x z) (*.f64 t (fma.f64 t (/.f64 t y) t))) y))) (neg.f64 y))) (neg.f64 y)) |
(/ 2 (* y z)) |
(/.f64 #s(literal 2 binary64) (*.f64 z y)) |
(* -1 (/ (- (* -2 (/ t (* y z))) (* 2 (/ 1 z))) y)) |
(/.f64 (fma.f64 (/.f64 (/.f64 t y) z) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) z)) y) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow t 2) (* y z))) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(/.f64 (fma.f64 (/.f64 #s(literal 2 binary64) z) (*.f64 (+.f64 (/.f64 t y) #s(literal 1 binary64)) (/.f64 t y)) (/.f64 #s(literal 2 binary64) z)) y) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow t 3) (* y z))) (* 2 (/ (pow t 2) z))) y)) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 t z) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 t z) (fma.f64 t (/.f64 t y) t))) y)) y) (/.f64 #s(literal -2 binary64) z)) y) |
(/ 2 (* y z)) |
(/.f64 #s(literal 2 binary64) (*.f64 z y)) |
(/ 2 (* y z)) |
(/.f64 #s(literal 2 binary64) (*.f64 z y)) |
(/ 2 (* y z)) |
(/.f64 #s(literal 2 binary64) (*.f64 z y)) |
(/ 2 (* y z)) |
(/.f64 #s(literal 2 binary64) (*.f64 z y)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(/.f64 (*.f64 (/.f64 x z) (fma.f64 #s(literal 2 binary64) (/.f64 t y) #s(literal 2 binary64))) y) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 t (/.f64 t y) t)) y))) (neg.f64 y)) |
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(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
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(/.f64 (*.f64 (/.f64 x z) (fma.f64 #s(literal 2 binary64) (/.f64 t y) #s(literal 2 binary64))) y) |
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(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 t (/.f64 t y) t)) y))) (neg.f64 y)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
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(/ x (* y z)) |
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(/ x (* y z)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal -2 binary64)) |
(* -2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal -2 binary64)) |
(* -2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal -2 binary64)) |
(* -2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal -2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x z)) |
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(*.f64 (/.f64 x z) #s(literal -2 binary64)) |
(* -2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal -2 binary64)) |
(* -2 (/ x z)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
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(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(/ x (* y z)) |
(/.f64 x (*.f64 z y)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
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(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal -2 binary64)) |
(* -2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal -2 binary64)) |
(* -2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal -2 binary64)) |
(* -2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal -2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 36 | 150 |
| 0 | 50 | 146 |
| 1 | 199 | 146 |
| 2 | 1179 | 146 |
| 0 | 8731 | 146 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) |
(/.f64 x z) |
(*.f64 (-.f64 y t) #s(literal 1/2 binary64)) |
(-.f64 y t) |
#s(approx (/ (/ (* 2 x) (- y t)) z) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(*.f64 z y) |
(/.f64 x (*.f64 z y)) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
#s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) |
(/.f64 #s(literal 2 binary64) (*.f64 z y)) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 z t) x))) |
(/.f64 #s(literal -2 binary64) (/.f64 (*.f64 z t) x)) |
(/.f64 (*.f64 z t) x) |
(*.f64 z t) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (*.f64 (/.f64 x z) #s(literal -2 binary64)) t)) |
(/.f64 (*.f64 (/.f64 x z) #s(literal -2 binary64)) t) |
(*.f64 (/.f64 x z) #s(literal -2 binary64)) |
| Outputs |
|---|
#<batchref> |
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Compiled 18 724 to 2 372 computations (87.3% saved)
14 alts after pruning (7 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 480 | 4 | 1 484 |
| Fresh | 3 | 3 | 6 |
| Picked | 0 | 5 | 5 |
| Done | 1 | 2 | 3 |
| Total | 1 484 | 14 | 1 498 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.8% | (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) |
| 49.6% | (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) | |
| 64.1% | (/.f64 (*.f64 (/.f64 x (*.f64 (+.f64 t y) (-.f64 y t))) (*.f64 (+.f64 t y) #s(literal 2 binary64))) z) | |
| ✓ | 88.1% | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| ▶ | 90.3% | (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
| ▶ | 49.5% | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) y) z)) x) |
| ✓ | 49.4% | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
| ▶ | 53.4% | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
| ▶ | 49.6% | #s(approx (/ (/ (* 2 x) (- y t)) z) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y)) |
| ✓ | 49.5% | #s(approx (/ (/ (* 2 x) (- y t)) z) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
| ✓ | 56.0% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (*.f64 (/.f64 x z) #s(literal -2 binary64)) t)) |
| ✓ | 52.9% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 z t) x))) |
| ▶ | 56.2% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) |
| ✓ | 53.5% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
Compiled 192 to 196 computations (-2.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) y) | |
| cost-diff | 0 | (/.f64 (/.f64 #s(literal 2 binary64) y) z) | |
| cost-diff | 0 | #s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) y) z)) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) y) z)) x) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) z) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 2 binary64) z) x) | |
| cost-diff | 0 | (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y) | |
| cost-diff | 0 | #s(approx (/ (/ (* 2 x) (- y t)) z) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y)) | |
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 0 | (*.f64 (/.f64 z x) t) | |
| cost-diff | 0 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) | |
| cost-diff | 384 | (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) | |
| cost-diff | 0 | (*.f64 t z) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) (*.f64 t z)) | |
| cost-diff | 0 | #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) | |
| cost-diff | 0 | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) | |
| cost-diff | -384 | (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) | |
| cost-diff | 0 | (-.f64 y t) | |
| cost-diff | 0 | (*.f64 (-.f64 y t) z) | |
| cost-diff | 0 | (*.f64 x #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 179 |
| 0 | 53 | 177 |
| 1 | 89 | 177 |
| 2 | 131 | 177 |
| 3 | 178 | 177 |
| 4 | 224 | 177 |
| 5 | 297 | 177 |
| 6 | 477 | 177 |
| 7 | 751 | 177 |
| 8 | 1604 | 177 |
| 9 | 3368 | 177 |
| 10 | 5306 | 177 |
| 11 | 6281 | 177 |
| 12 | 6621 | 177 |
| 13 | 6674 | 177 |
| 14 | 6726 | 177 |
| 15 | 7054 | 177 |
| 0 | 8078 | 177 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 x #s(literal 2 binary64)) |
x |
#s(literal 2 binary64) |
(*.f64 (-.f64 y t) z) |
(-.f64 y t) |
y |
t |
z |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
#s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) |
(/.f64 #s(literal -2 binary64) (*.f64 t z)) |
#s(literal -2 binary64) |
(*.f64 t z) |
t |
z |
x |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) |
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) |
#s(literal -2 binary64) |
(*.f64 (/.f64 z x) t) |
(/.f64 z x) |
z |
x |
t |
#s(approx (/ (/ (* 2 x) (- y t)) z) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y) |
(*.f64 (/.f64 #s(literal 2 binary64) z) x) |
(/.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
x |
y |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) y) z)) x) |
#s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) y) z)) |
(/.f64 (/.f64 #s(literal 2 binary64) y) z) |
(/.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
z |
x |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 x (-.f64 t y))) |
(*.f64 x #s(literal 2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
x |
#s(literal 2 binary64) |
(*.f64 (-.f64 y t) z) |
(-.f64 y t) |
y |
t |
z |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 z t))) x) |
#s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) |
#s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 z t))) |
(/.f64 #s(literal -2 binary64) (*.f64 t z)) |
(/.f64 #s(literal -2 binary64) (*.f64 z t)) |
#s(literal -2 binary64) |
(*.f64 t z) |
(*.f64 z t) |
t |
z |
x |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) |
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x) |
#s(literal -2 binary64) |
(*.f64 (/.f64 z x) t) |
(/.f64 z x) |
z |
x |
t |
#s(approx (/ (/ (* 2 x) (- y t)) z) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y)) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y) |
(*.f64 (/.f64 #s(literal 2 binary64) z) x) |
(/.f64 #s(literal 2 binary64) z) |
#s(literal 2 binary64) |
z |
x |
y |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) y) z)) x) |
#s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) y) z)) |
(/.f64 (/.f64 #s(literal 2 binary64) y) z) |
(/.f64 #s(literal 2 binary64) y) |
#s(literal 2 binary64) |
y |
z |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 #s(literal 2 binary64) y) | |
| accuracy | 0.21484375 | (/.f64 (/.f64 #s(literal 2 binary64) y) z) | |
| accuracy | 5.8835048789488 | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) y) z)) x) | |
| accuracy | 31.99000834982762 | #s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) y) z)) | |
| accuracy | 0 | (/.f64 #s(literal 2 binary64) z) | |
| accuracy | 0.2109375 | (*.f64 (/.f64 #s(literal 2 binary64) z) x) | |
| accuracy | 5.277767850752804 | (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y) | |
| accuracy | 30.267657462568046 | #s(approx (/ (/ (* 2 x) (- y t)) z) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y)) | |
| accuracy | 0 | (/.f64 z x) | |
| accuracy | 0.6838583376313812 | (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) | |
| accuracy | 5.566303679804961 | (*.f64 (/.f64 z x) t) | |
| accuracy | 26.741667607587477 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) | |
| accuracy | 0 | (*.f64 t z) | |
| accuracy | 0.4215398014335919 | (/.f64 #s(literal -2 binary64) (*.f64 t z)) | |
| accuracy | 5.8835048789488 | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) | |
| accuracy | 26.77466946789887 | #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) | |
| accuracy | 0 | (-.f64 y t) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0.015625 | (*.f64 (-.f64 y t) z) | |
| accuracy | 6.216385207148702 | (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
| 82.0ms | 256× | 0 | valid |
Compiled 141 to 30 computations (78.7% saved)
ival-mult: 20.0ms (48.9% of total)ival-div: 18.0ms (44% of total)ival-sub: 2.0ms (4.9% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ()) |
#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ()) |
#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) (patch (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) (patch #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -2 binary64) (*.f64 t z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 t z)) #<representation binary64>) () ()) |
#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 z x) t) (patch (*.f64 (/.f64 z x) t) #<representation binary64>) () ()) |
#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ (* 2 x) (- y t)) z) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y)) (patch #s(approx (/ (/ (* 2 x) (- y t)) z) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y) (patch (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 2 binary64) z) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) z) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) z) (patch (/.f64 #s(literal 2 binary64) z) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) y) z)) x) (patch (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) y) z)) x) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) y) z)) (patch #s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) y) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal 2 binary64) y) z) (patch (/.f64 (/.f64 #s(literal 2 binary64) y) z) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) y) (patch (/.f64 #s(literal 2 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* y z) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) z) (patch (*.f64 (-.f64 y t) z) #<representation binary64>) () ())) ()) |
#s(alt y (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 t)) (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 t)) (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (+ y (* -1 t)) (taylor 0 t) (#s(alt (-.f64 y t) (patch (-.f64 y t) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (patch (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) (patch (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) (patch (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) (patch (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) (patch (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (* y z)) (taylor 0 t) (#s(alt #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) (patch #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) (patch #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) (patch #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) (patch #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (* t z)) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 t z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (* t z)) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 t z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (* t z)) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 t z)) (patch (/.f64 #s(literal -2 binary64) (*.f64 t z)) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (* t z)) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 t z)) (patch (/.f64 #s(literal -2 binary64) (*.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 (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) (patch (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t z) x) (taylor 0 t) (#s(alt (*.f64 (/.f64 z x) t) (patch (*.f64 (/.f64 z x) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t z) x) (taylor 0 t) (#s(alt (*.f64 (/.f64 z x) t) (patch (*.f64 (/.f64 z x) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t z) x) (taylor 0 t) (#s(alt (*.f64 (/.f64 z x) t) (patch (*.f64 (/.f64 z x) t) #<representation binary64>) () ())) ()) |
#s(alt (/ (* t z) x) (taylor 0 t) (#s(alt (*.f64 (/.f64 z x) t) (patch (*.f64 (/.f64 z x) t) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt #s(approx (/ (/ (* 2 x) (- y t)) z) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y)) (patch #s(approx (/ (/ (* 2 x) (- y t)) z) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt #s(approx (/ (/ (* 2 x) (- y t)) z) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y)) (patch #s(approx (/ (/ (* 2 x) (- y t)) z) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) (taylor 0 t) (#s(alt #s(approx (/ (/ (* 2 x) (- y t)) z) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y)) (patch #s(approx (/ (/ (* 2 x) (- y t)) z) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) (taylor 0 t) (#s(alt #s(approx (/ (/ (* 2 x) (- y t)) z) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y)) (patch #s(approx (/ (/ (* 2 x) (- y t)) z) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) y) z)) x) (patch (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) y) z)) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) y) z)) x) (patch (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) y) z)) x) #<representation binary64>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 22.0ms | t | @ | -inf | ((* x 2) (* (- y t) z) (- y t) (/ (* x 2) (* (- y t) z)) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ -2 (* t z)) (* t z) (/ -2 (* (/ z x) t)) (/ (* x 2) (- (* y z) (* t z))) (* (/ z x) t) (/ z x) (/ (/ (* 2 x) (- y t)) z) (/ (* (/ 2 z) x) y) (* (/ 2 z) x) (/ 2 z) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ (/ 2 y) z) (/ 2 y)) |
| 5.0ms | z | @ | -inf | ((* x 2) (* (- y t) z) (- y t) (/ (* x 2) (* (- y t) z)) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ -2 (* t z)) (* t z) (/ -2 (* (/ z x) t)) (/ (* x 2) (- (* y z) (* t z))) (* (/ z x) t) (/ z x) (/ (/ (* 2 x) (- y t)) z) (/ (* (/ 2 z) x) y) (* (/ 2 z) x) (/ 2 z) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ (/ 2 y) z) (/ 2 y)) |
| 4.0ms | z | @ | inf | ((* x 2) (* (- y t) z) (- y t) (/ (* x 2) (* (- y t) z)) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ -2 (* t z)) (* t z) (/ -2 (* (/ z x) t)) (/ (* x 2) (- (* y z) (* t z))) (* (/ z x) t) (/ z x) (/ (/ (* 2 x) (- y t)) z) (/ (* (/ 2 z) x) y) (* (/ 2 z) x) (/ 2 z) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ (/ 2 y) z) (/ 2 y)) |
| 4.0ms | z | @ | 0 | ((* x 2) (* (- y t) z) (- y t) (/ (* x 2) (* (- y t) z)) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ -2 (* t z)) (* t z) (/ -2 (* (/ z x) t)) (/ (* x 2) (- (* y z) (* t z))) (* (/ z x) t) (/ z x) (/ (/ (* 2 x) (- y t)) z) (/ (* (/ 2 z) x) y) (* (/ 2 z) x) (/ 2 z) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ (/ 2 y) z) (/ 2 y)) |
| 3.0ms | x | @ | -inf | ((* x 2) (* (- y t) z) (- y t) (/ (* x 2) (* (- y t) z)) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ -2 (* t z)) (* t z) (/ -2 (* (/ z x) t)) (/ (* x 2) (- (* y z) (* t z))) (* (/ z x) t) (/ z x) (/ (/ (* 2 x) (- y t)) z) (/ (* (/ 2 z) x) y) (* (/ 2 z) x) (/ 2 z) (* (/ (/ 2 z) (- y t)) x) (/ (/ 2 z) (- y t)) (/ (/ 2 y) z) (/ 2 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 341 | 6646 |
| 1 | 1120 | 6358 |
| 2 | 3606 | 6084 |
| 3 | 6733 | 6074 |
| 0 | 8427 | 5884 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y z) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
y |
(+ y (* -1 t)) |
(+ y (* -1 t)) |
(+ y (* -1 t)) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
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(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(* 2 (/ x (* y z))) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
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(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(/ 2 (* y z)) |
(+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) |
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(+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
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(* t z) |
(* t z) |
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(/ (* t z) x) |
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(* -1 t) |
(* -1 (* t (+ 1 (* -1 (/ y t))))) |
(* -1 (* t (+ 1 (* -1 (/ y t))))) |
(* -1 (* t (+ 1 (* -1 (/ y t))))) |
(* -2 (/ x (* t z))) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(* -2 (/ x (* t z))) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(/ -2 (* t z)) |
(* -1 (/ (+ (* 2 (/ y (* t z))) (* 2 (/ 1 z))) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -2 (/ (pow y 2) (* t z))) (* 2 (/ y z))) t)) (* 2 (/ 1 z))) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 3) (* t z))) (* -2 (/ (pow y 2) z))) t)) (* 2 (/ y z))) t)) (* 2 (/ 1 z))) t)) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(* -2 (/ x (* t z))) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -1 (/ (+ (* 2 (/ (* x (pow y 2)) z)) (* 2 (/ (* x (pow y 3)) (* t z)))) t))) t)) (* 2 (/ x z))) t)) |
(* -2 (/ x (* t z))) |
(* -1 (/ (+ (* 2 (/ x z)) (* 2 (/ (* x y) (* t z)))) t)) |
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(/ -2 (* t z)) |
(* -1 (/ (+ (* 2 (/ y (* t z))) (* 2 (/ 1 z))) t)) |
(* -1 (/ (+ (* -1 (/ (- (* -2 (/ (pow y 2) (* t z))) (* 2 (/ y z))) t)) (* 2 (/ 1 z))) t)) |
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(* z (- y t)) |
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(* 2 (/ x z)) |
(* 2 (/ x z)) |
(/ 2 z) |
(/ 2 z) |
(/ 2 z) |
(/ 2 z) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(* z (- y t)) |
(* z (- y t)) |
(* z (- y t)) |
(* z (- y t)) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(* t z) |
(* t z) |
(* t z) |
(* t z) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(* -2 (/ x (* z (- (* -1 y) (* -1 t))))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(/ 2 z) |
(/ 2 z) |
(/ 2 z) |
(/ 2 z) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(* -1 (* t z)) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(* -1 t) |
(- y t) |
(- y t) |
(- y t) |
(* -2 (/ x (* t z))) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(* -2 (/ x (* t z))) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(/ -2 (* t z)) |
(- (* -2 (/ y (* (pow t 2) z))) (* 2 (/ 1 (* t z)))) |
(- (* y (- (* -2 (/ y (* (pow t 3) z))) (* 2 (/ 1 (* (pow t 2) z))))) (* 2 (/ 1 (* t z)))) |
(- (* y (- (* y (- (* -2 (/ y (* (pow t 4) z))) (* 2 (/ 1 (* (pow t 3) z))))) (* 2 (/ 1 (* (pow t 2) z))))) (* 2 (/ 1 (* t z)))) |
(* -2 (/ x (* t z))) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(* -2 (/ x (* t z))) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* -2 (/ x (* t z))) |
(+ (* -2 (/ x (* t z))) (* -2 (/ (* x y) (* (pow t 2) z)))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* -2 (/ (* x y) (* (pow t 3) z)))))) |
(+ (* -2 (/ x (* t z))) (* y (+ (* -2 (/ x (* (pow t 2) z))) (* y (+ (* -2 (/ x (* (pow t 3) z))) (* -2 (/ (* x y) (* (pow t 4) z)))))))) |
(/ -2 (* t z)) |
(- (* -2 (/ y (* (pow t 2) z))) (* 2 (/ 1 (* t z)))) |
(- (* y (- (* -2 (/ y (* (pow t 3) z))) (* 2 (/ 1 (* (pow t 2) z))))) (* 2 (/ 1 (* t z)))) |
(- (* y (- (* y (- (* -2 (/ y (* (pow t 4) z))) (* 2 (/ 1 (* (pow t 3) z))))) (* 2 (/ 1 (* (pow t 2) z))))) (* 2 (/ 1 (* t z)))) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(* y z) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(* y (+ z (* -1 (/ (* t z) y)))) |
y |
(* y (+ 1 (* -1 (/ t y)))) |
(* y (+ 1 (* -1 (/ t y)))) |
(* y (+ 1 (* -1 (/ t y)))) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(/ 2 (* y z)) |
(/ (+ (* 2 (/ t (* y z))) (* 2 (/ 1 z))) y) |
(/ (- (+ (* 2 (/ (pow t 2) (* (pow y 2) z))) (* 2 (/ 1 z))) (* -2 (/ t (* y z)))) y) |
(/ (- (+ (* 2 (/ (pow t 3) (* (pow y 3) z))) (* 2 (/ 1 z))) (+ (* -2 (/ t (* y z))) (* -2 (/ (pow t 2) (* (pow y 2) z))))) y) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y z)))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))))) y) |
(/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (+ (* 2 (/ (* (pow t 2) x) (* (pow y 2) z))) (* 2 (/ (* (pow t 3) x) (* (pow y 3) z)))))) y) |
(/ 2 (* y z)) |
(/ (+ (* 2 (/ t (* y z))) (* 2 (/ 1 z))) y) |
(/ (- (+ (* 2 (/ (pow t 2) (* (pow y 2) z))) (* 2 (/ 1 z))) (* -2 (/ t (* y z)))) y) |
(/ (- (+ (* 2 (/ (pow t 3) (* (pow y 3) z))) (* 2 (/ 1 z))) (+ (* -2 (/ t (* y z))) (* -2 (/ (pow t 2) (* (pow y 2) z))))) y) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
y |
(* -1 (* y (- (/ t y) 1))) |
(* -1 (* y (- (/ t y) 1))) |
(* -1 (* y (- (/ t y) 1))) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/ 2 (* y z)) |
(* -1 (/ (- (* -2 (/ t (* y z))) (* 2 (/ 1 z))) y)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow t 2) (* y z))) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow t 3) (* y z))) (* 2 (/ (pow t 2) z))) y)) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/ 2 (* y z)) |
(* -1 (/ (- (* -2 (/ t (* y z))) (* 2 (/ 1 z))) y)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow t 2) (* y z))) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow t 3) (* y z))) (* 2 (/ (pow t 2) z))) y)) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 (* y z)) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(/ 2 y) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(* 2 (/ x (- (* y z) (* t z)))) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ (* t z) x) |
(/ z x) |
(/ z x) |
(/ z x) |
(/ z x) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x (* y z))) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x z)) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
| Outputs |
|---|
(* y z) |
(*.f64 z y) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
(+ (* -1 (* t z)) (* y z)) |
(*.f64 (-.f64 y t) z) |
y |
(+ y (* -1 t)) |
(-.f64 y t) |
(+ y (* -1 t)) |
(-.f64 y t) |
(+ y (* -1 t)) |
(-.f64 y t) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 x (/.f64 (/.f64 t y) y) (/.f64 x y))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) t (/.f64 x (*.f64 z y)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 x (/.f64 (/.f64 t y) y) (/.f64 x y)) (*.f64 (*.f64 t t) (*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 x (/.f64 t (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))))) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 x (/.f64 (/.f64 t y) y) (/.f64 x y))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* 2 (/ (* t x) (* (pow y 3) z)))))) |
(*.f64 #s(literal 2 binary64) (fma.f64 (fma.f64 (/.f64 x (*.f64 (pow.f64 y #s(literal 3 binary64)) z)) t (/.f64 x (*.f64 (*.f64 y y) z))) t (/.f64 x (*.f64 z y)))) |
(+ (* 2 (/ x (* y z))) (* t (+ (* 2 (/ x (* (pow y 2) z))) (* t (+ (* 2 (/ x (* (pow y 3) z))) (* 2 (/ (* t x) (* (pow y 4) z)))))))) |
(fma.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 x (/.f64 (/.f64 t y) y) (/.f64 x y)) (*.f64 (*.f64 t t) (*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 x (/.f64 t (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64))))))) |
(/ 2 (* y z)) |
(/.f64 #s(literal 2 binary64) (*.f64 z y)) |
(+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) |
(/.f64 (fma.f64 (/.f64 (/.f64 t y) z) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) z)) y) |
(+ (* t (+ (* 2 (/ t (* (pow y 3) z))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(fma.f64 (*.f64 t (/.f64 t (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) #s(literal 2 binary64) (/.f64 (fma.f64 (/.f64 (/.f64 t y) z) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) z)) y)) |
(+ (* t (+ (* t (+ (* 2 (/ t (* (pow y 4) z))) (* 2 (/ 1 (* (pow y 3) z))))) (* 2 (/ 1 (* (pow y 2) z))))) (* 2 (/ 1 (* y z)))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (*.f64 (pow.f64 y #s(literal 3 binary64)) z))) t (/.f64 #s(literal 2 binary64) (*.f64 (*.f64 y y) z))) t (/.f64 #s(literal 2 binary64) (*.f64 z y))) |
(/ -2 (* t z)) |
(/.f64 #s(literal -2 binary64) (*.f64 t z)) |
(/ -2 (* t z)) |
(/.f64 #s(literal -2 binary64) (*.f64 t z)) |
(/ -2 (* t z)) |
(/.f64 #s(literal -2 binary64) (*.f64 t z)) |
(/ -2 (* t z)) |
(/.f64 #s(literal -2 binary64) (*.f64 t z)) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* t z) |
(*.f64 t z) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) |
(*.f64 (/.f64 #s(literal 2 binary64) z) (fma.f64 x (/.f64 (/.f64 t y) y) (/.f64 x y))) |
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(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) t) (/.f64 x z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 x z) (*.f64 t (fma.f64 t (/.f64 t y) t))) y))) (neg.f64 y))) (neg.f64 y)) |
(/ 2 (* y z)) |
(/.f64 #s(literal 2 binary64) (*.f64 z y)) |
(* -1 (/ (- (* -2 (/ t (* y z))) (* 2 (/ 1 z))) y)) |
(/.f64 (fma.f64 (/.f64 (/.f64 t y) z) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) z)) y) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow t 2) (* y z))) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow t 3) (* y z))) (* 2 (/ (pow t 2) z))) y)) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 t z) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 t z) (fma.f64 t (/.f64 t y) t))) y)) y) (/.f64 #s(literal -2 binary64) z)) y) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(/.f64 (*.f64 (/.f64 x z) (fma.f64 #s(literal 2 binary64) (/.f64 t y) #s(literal 2 binary64))) y) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 t (/.f64 t y) t)) y))) (neg.f64 y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) t) (/.f64 x z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 x z) (*.f64 t (fma.f64 t (/.f64 t y) t))) y))) (neg.f64 y))) (neg.f64 y)) |
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(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
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(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 t (/.f64 t y) t)) y))) (neg.f64 y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (/.f64 (fma.f64 (*.f64 #s(literal 2 binary64) t) (/.f64 x z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 x z) (*.f64 t (fma.f64 t (/.f64 t y) t))) y))) (neg.f64 y))) (neg.f64 y)) |
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(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(/.f64 (*.f64 (/.f64 x z) (fma.f64 #s(literal 2 binary64) (/.f64 t y) #s(literal 2 binary64))) y) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* 2 (/ (* t x) z)) (* 2 (/ (* (pow t 2) x) (* y z)))) y))) y)) |
(/.f64 (fma.f64 (/.f64 x z) #s(literal -2 binary64) (*.f64 #s(literal -2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 t (/.f64 t y) t)) y))) (neg.f64 y)) |
(* -1 (/ (+ (* -2 (/ x z)) (* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* (pow t 2) x) z)) (* -2 (/ (* (pow t 3) x) (* y z)))) y)) (* 2 (/ (* t x) z))) y))) y)) |
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(/ 2 (* y z)) |
(/.f64 #s(literal 2 binary64) (*.f64 z y)) |
(* -1 (/ (- (* -2 (/ t (* y z))) (* 2 (/ 1 z))) y)) |
(/.f64 (fma.f64 (/.f64 (/.f64 t y) z) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) z)) y) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow t 2) (* y z))) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
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(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow t 3) (* y z))) (* 2 (/ (pow t 2) z))) y)) (* -2 (/ t z))) y)) (* 2 (/ 1 z))) y)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 t z) #s(literal 2 binary64) (/.f64 (*.f64 #s(literal 2 binary64) (*.f64 (/.f64 t z) (fma.f64 t (/.f64 t y) t))) y)) y) (/.f64 #s(literal -2 binary64) z)) y) |
(/ 2 (* y z)) |
(/.f64 #s(literal 2 binary64) (*.f64 z y)) |
(/ 2 (* y z)) |
(/.f64 #s(literal 2 binary64) (*.f64 z y)) |
(/ 2 (* y z)) |
(/.f64 #s(literal 2 binary64) (*.f64 z y)) |
(/ 2 (* y z)) |
(/.f64 #s(literal 2 binary64) (*.f64 z y)) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
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(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
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(* 2 x) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
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(*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ (* t z) x) |
(/.f64 (*.f64 t z) x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(/ z x) |
(/.f64 z x) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* 2 (/ x (* y z))) |
(*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x z)) |
(*.f64 (/.f64 x z) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(* 2 (/ x (* z (- y t)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 158 |
| 0 | 53 | 156 |
| 1 | 189 | 156 |
| 2 | 1043 | 156 |
| 0 | 8626 | 156 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 x #s(literal 2 binary64)) |
(*.f64 (-.f64 y t) z) |
(-.f64 y t) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
#s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) |
(/.f64 #s(literal -2 binary64) (*.f64 t z)) |
(*.f64 t z) |
(/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) |
(*.f64 (/.f64 z x) t) |
(/.f64 z x) |
#s(approx (/ (/ (* 2 x) (- y t)) z) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y)) |
(/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y) |
(*.f64 (/.f64 #s(literal 2 binary64) z) x) |
(/.f64 #s(literal 2 binary64) z) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) y) z)) x) |
#s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) y) z)) |
(/.f64 (/.f64 #s(literal 2 binary64) y) z) |
(/.f64 #s(literal 2 binary64) y) |
| Outputs |
|---|
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Compiled 20 684 to 2 778 computations (86.6% saved)
14 alts after pruning (2 fresh and 12 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 452 | 1 | 1 453 |
| Fresh | 1 | 1 | 2 |
| Picked | 0 | 5 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 453 | 14 | 1 467 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 90.8% | (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) |
| 49.6% | (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) | |
| ✓ | 88.1% | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| ✓ | 90.3% | (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
| ✓ | 49.5% | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) y) z)) x) |
| ✓ | 49.4% | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
| ✓ | 53.4% | (*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
| ✓ | 49.6% | #s(approx (/ (/ (* 2 x) (- y t)) z) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y)) |
| ✓ | 49.5% | #s(approx (/ (/ (* 2 x) (- y t)) z) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
| ✓ | 56.0% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (*.f64 (/.f64 x z) #s(literal -2 binary64)) t)) |
| ✓ | 52.9% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 z t) x))) |
| ✓ | 56.2% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) |
| 53.6% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 z) (*.f64 (/.f64 #s(literal -1 binary64) x) t)))) | |
| ✓ | 53.5% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
Compiled 370 to 238 computations (35.7% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
#s(approx (/ (/ (* 2 x) (- y t)) z) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 z t) x))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (*.f64 x (/.f64 #s(literal -2 binary64) t)) z)) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (*.f64 (/.f64 x z) #s(literal -2 binary64)) t)) |
#s(approx (/ (/ (* 2 x) (- y t)) z) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y)) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) y) z)) x) |
(/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) z) |
(/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) |
(/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (neg.f64 z) (*.f64 (/.f64 #s(literal -1 binary64) x) t)))) |
(/.f64 (*.f64 (/.f64 x (*.f64 (+.f64 t y) (-.f64 y t))) (*.f64 (+.f64 t y) #s(literal 2 binary64))) z) |
(pow.f64 (pow.f64 (*.f64 #s(literal 1/2 binary64) (*.f64 z (/.f64 (-.f64 y t) x))) #s(literal -1/2 binary64)) #s(literal 2 binary64)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (/.f64 (*.f64 (-.f64 (pow.f64 y #s(literal 3 binary64)) (pow.f64 t #s(literal 3 binary64))) z) (fma.f64 t (+.f64 t y) (*.f64 y y)))) |
| Outputs |
|---|
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) |
7 calls:
| 9.0ms | t |
| 9.0ms | (*.f64 x #s(literal 2 binary64)) |
| 9.0ms | y |
| 8.0ms | z |
| 8.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | x |
| 91.9% | 1 | y |
| 97.1% | 2 | z |
| 95.6% | 2 | t |
| 99.4% | 4 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 96.8% | 2 | (*.f64 x #s(literal 2 binary64)) |
| 97.0% | 2 | (-.f64 (*.f64 y z) (*.f64 t z)) |
Compiled 25 to 39 computations (-56% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
#s(approx (/ (/ (* 2 x) (- y t)) z) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 z t) x))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (*.f64 x (/.f64 #s(literal -2 binary64) t)) z)) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (*.f64 (/.f64 x z) #s(literal -2 binary64)) t)) |
#s(approx (/ (/ (* 2 x) (- y t)) z) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y)) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) y) z)) x) |
(/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) z) |
(/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) |
(/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) |
(*.f64 (/.f64 (/.f64 #s(literal 2 binary64) z) (-.f64 y t)) x) |
| Outputs |
|---|
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
(*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t))) |
1 calls:
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.0% | 2 | z |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
#s(approx (/ (/ (* 2 x) (- y t)) z) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (/.f64 (*.f64 z t) x))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (*.f64 x (/.f64 #s(literal -2 binary64) t)) z)) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (*.f64 (/.f64 x z) #s(literal -2 binary64)) t)) |
#s(approx (/ (/ (* 2 x) (- y t)) z) (/.f64 (*.f64 (/.f64 #s(literal 2 binary64) z) x) y)) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 (/.f64 #s(literal 2 binary64) y) z)) x) |
(/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) z) |
(/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) |
(/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| Outputs |
|---|
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t))) |
7 calls:
| 7.0ms | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 6.0ms | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 6.0ms | z |
| 6.0ms | y |
| 6.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.5% | 1 | y |
| 90.5% | 1 | t |
| 90.5% | 1 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 90.5% | 1 | x |
| 90.5% | 1 | (*.f64 x #s(literal 2 binary64)) |
| 92.9% | 2 | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 90.5% | 1 | z |
Compiled 25 to 39 computations (-56% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
#s(approx (/ (/ (* 2 x) (- y t)) z) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
| Outputs |
|---|
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
3 calls:
| 5.0ms | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 3.0ms | y |
| 3.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.5% | 1 | y |
| 90.5% | 1 | z |
| 90.5% | 1 | (-.f64 (*.f64 y z) (*.f64 t z)) |
Compiled 9 to 15 computations (-66.7% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
#s(approx (/ (/ (* 2 x) (- y t)) z) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
7 calls:
| 5.0ms | y |
| 3.0ms | (*.f64 x #s(literal 2 binary64)) |
| 3.0ms | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 3.0ms | z |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.3% | 1 | t |
| 90.3% | 1 | x |
| 90.3% | 1 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 90.3% | 1 | (*.f64 x #s(literal 2 binary64)) |
| 90.3% | 1 | y |
| 90.3% | 1 | z |
| 90.3% | 1 | (-.f64 (*.f64 y z) (*.f64 t z)) |
Compiled 25 to 39 computations (-56% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
#s(approx (/ (/ (* 2 x) (- y t)) z) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
| Outputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
7 calls:
| 5.0ms | x |
| 5.0ms | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 3.0ms | (*.f64 x #s(literal 2 binary64)) |
| 3.0ms | z |
| 3.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 57.0% | 2 | x |
| 72.3% | 3 | t |
| 56.7% | 2 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 57.0% | 2 | (*.f64 x #s(literal 2 binary64)) |
| 77.3% | 3 | y |
| 56.3% | 2 | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 59.4% | 4 | z |
Compiled 25 to 39 computations (-56% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
#s(approx (/ (/ (* 2 x) (- y t)) z) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal -2 binary64) (*.f64 t z))) x) |
(*.f64 #s(approx (/ (/ 2 z) (- y t)) (/.f64 #s(literal 2 binary64) (*.f64 z y))) x) |
| Outputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
1 calls:
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 77.3% | 3 | y |
Compiled 1 to 4 computations (-300% saved)
Total 0.0b remaining (0%)
Threshold costs 0b (0%)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
| Outputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
7 calls:
| 1.0ms | (*.f64 x #s(literal 2 binary64)) |
| 1.0ms | t |
| 1.0ms | y |
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 53.5% | 1 | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 53.5% | 1 | z |
| 53.5% | 1 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 53.5% | 1 | x |
| 53.5% | 1 | (*.f64 x #s(literal 2 binary64)) |
| 53.5% | 1 | t |
| 53.5% | 1 | y |
Compiled 25 to 39 computations (-56% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 10.0ms | 8.724670461679824e+97 | 2.620330801215436e+98 |
| 5.0ms | 80× | 0 | valid |
Compiled 109 to 122 computations (-11.9% saved)
ival-div: 1.0ms (40.5% of total)ival-mult: 1.0ms (40.5% of total)ival-sub: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 8.724670461679824e+97 | 2.620330801215436e+98 |
Compiled 109 to 122 computations (-11.9% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.6086979663381336e+306 | +inf |
Compiled 14 to 17 computations (-21.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 12.0ms | 4.250678807088488e-7 | 0.0004497930140291468 |
| 15.0ms | -3.9764069192142054e-24 | -7.783442341852043e-28 |
| 15.0ms | 256× | 0 | valid |
Compiled 286 to 353 computations (-23.4% saved)
ival-mult: 5.0ms (62.5% of total)ival-div: 2.0ms (25% of total)ival-sub: 1.0ms (12.5% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 4.250678807088488e-7 | 0.0004497930140291468 |
| 1.0ms | -3.9764069192142054e-24 | -7.783442341852043e-28 |
Compiled 270 to 337 computations (-24.8% saved)
| 1× | egg-herbie |
Useful iterations: 5 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 250 |
| 1 | 80 | 250 |
| 2 | 98 | 250 |
| 3 | 114 | 250 |
| 4 | 129 | 250 |
| 5 | 141 | 246 |
| 6 | 161 | 246 |
| 7 | 194 | 246 |
| 8 | 240 | 246 |
| 9 | 350 | 246 |
| 10 | 546 | 246 |
| 11 | 681 | 246 |
| 12 | 761 | 246 |
| 13 | 861 | 246 |
| 14 | 964 | 246 |
| 15 | 1026 | 246 |
| 16 | 1063 | 246 |
| 17 | 1113 | 246 |
| 18 | 1124 | 246 |
| 19 | 1148 | 246 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 z #s(literal 89999999999999995239003105908881210659462449075541017585360148541035824959381373504563820781109248 binary64)) (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64)))) |
(if (<=.f64 z #s(literal 89999999999999995239003105908881210659462449075541017585360148541035824959381373504563820781109248 binary64)) (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t)))) |
(if (<=.f64 (-.f64 (*.f64 y z) (*.f64 t z)) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(if (<=.f64 y #s(literal -2439144006089287/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 2833419889721787/2361183241434822606848 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))))) |
(if (<=.f64 y #s(literal -2439144006089287/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 2833419889721787/2361183241434822606848 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
| Outputs |
|---|
(if (<=.f64 z #s(literal 89999999999999995239003105908881210659462449075541017585360148541035824959381373504563820781109248 binary64)) (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64)))) |
(if (<=.f64 z #s(literal 89999999999999995239003105908881210659462449075541017585360148541035824959381373504563820781109248 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 t y) z)) x) (/.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 y t)))) |
(if (<=.f64 z #s(literal 89999999999999995239003105908881210659462449075541017585360148541035824959381373504563820781109248 binary64)) (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) (*.f64 (/.f64 x z) (/.f64 #s(literal 2 binary64) (-.f64 y t)))) |
(if (<=.f64 z #s(literal 89999999999999995239003105908881210659462449075541017585360148541035824959381373504563820781109248 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 t y) z)) x) (*.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) (/.f64 x z))) |
(if (<=.f64 (-.f64 (*.f64 y z) (*.f64 t z)) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)))) |
(if (<=.f64 (-.f64 (*.f64 y z) (*.f64 t z)) #s(literal 2000000000000000034432129193472909657662175650026477964657784035784761342489150095975840903750919189137212277723396582120622098451065897041393877611422881300245257029338856920713985249936056659101378448350568693460121432177658428510879389260239589093011024831235964286525341725837632725724238309498254524416 binary64)) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 t y) z)) x) #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 #s(literal -2 binary64) (*.f64 (/.f64 z x) t)))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 t y) z)) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 y t) z)) |
(if (<=.f64 y #s(literal -2439144006089287/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 2833419889721787/2361183241434822606848 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))))) |
(if (<=.f64 y #s(literal -2439144006089287/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 2833419889721787/2361183241434822606848 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 2 binary64))))) |
(if (<=.f64 y #s(literal -2439144006089287/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 2833419889721787/2361183241434822606848 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))))) |
(if (<=.f64 y #s(literal -2439144006089287/87112285931760246646623899502532662132736 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 2 binary64))) (if (<=.f64 y #s(literal 2833419889721787/2361183241434822606848 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 y z)) #s(literal 2 binary64))))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 190 | 1157 |
| 1 | 621 | 1109 |
| 2 | 2090 | 1067 |
| 3 | 5449 | 1063 |
| 0 | 8463 | 1032 |
| 0 | 31 | 136 |
| 0 | 49 | 129 |
| 1 | 172 | 129 |
| 2 | 988 | 129 |
| 0 | 8613 | 129 |
| 0 | 10 | 27 |
| 0 | 15 | 23 |
| 1 | 48 | 23 |
| 2 | 330 | 23 |
| 3 | 3469 | 23 |
| 0 | 8227 | 23 |
| 0 | 36 | 150 |
| 0 | 50 | 146 |
| 1 | 199 | 146 |
| 2 | 1179 | 146 |
| 0 | 8731 | 146 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 413 to 233 computations (43.6% saved)
(negabs x)
Compiled 852 to 476 computations (44.1% saved)
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