
Time bar (total: 9.3s)
| 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)
| 764.0ms | 8 256× | 0 | valid |
ival-mult: 201.0ms (60.3% of total)ival-div: 61.0ms (18.3% of total)ival-sub: 55.0ms (16.5% of total)ival-true: 7.0ms (2.1% of total)exact: 5.0ms (1.5% of total)ival-assert: 4.0ms (1.2% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 23 | 0 | - | 0 | - | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 6 | 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 | 19 | 0 |
| ↳ | (*.f64 t z) | overflow | 30 | |
| ↳ | (*.f64 y z) | overflow | 35 | |
| ↳ | (-.f64 (*.f64 y z) (*.f64 t z)) | overflow | 55 | |
-.f64 | (-.f64 (*.f64 y z) (*.f64 t z)) | nan-rescue | 6 | 0 |
| ↳ | (*.f64 y z) | overflow | 35 | |
| ↳ | (*.f64 t z) | overflow | 30 | |
/.f64 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) | n/u | 4 | 0 |
| ↳ | (*.f64 t z) | underflow | 30 | |
| ↳ | (*.f64 y z) | underflow | 25 | |
| ↳ | (-.f64 (*.f64 y z) (*.f64 t z)) | underflow | 6 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 27 | 0 |
| - | 0 | 229 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 27 | 0 | 0 |
| - | 0 | 0 | 229 |
| number | freq |
|---|---|
| 0 | 229 |
| 1 | 25 |
| 2 | 2 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 36.0ms | 512× | 0 | valid |
Compiled 79 to 34 computations (57% saved)
ival-mult: 10.0ms (58.9% of total)ival-div: 4.0ms (23.6% of total)ival-sub: 2.0ms (11.8% of total)ival-true: 0.0ms (0% 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 |
|---|---|---|
| ▶ | 89.0% | (/.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 | 1.3632750574906176 | (-.f64 (*.f64 y z) (*.f64 t z)) | |
| accuracy | 5.435737207507896 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 18.0ms | 256× | 0 | valid |
Compiled 34 to 12 computations (64.7% saved)
ival-mult: 5.0ms (57.3% of total)ival-div: 2.0ms (22.9% of total)ival-sub: 1.0ms (11.5% 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>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor inf z) (#s(alt (*.f64 t z) (patch (*.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 (* 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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor -inf z) (#s(alt (*.f64 t z) (patch (*.f64 t z) #<representation binary64>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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) (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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (* -2 (/ x (* t 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))) (* -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>) () ())) ()) |
#s(alt (+ (* -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)))))))) (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 (* 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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#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>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (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>) () ())) ()) |
#s(alt (/ (+ (* 2 (/ x z)) (* 2 (/ (* t x) (* y 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>) () ())) ()) |
#s(alt (/ (+ (* 2 (/ x z)) (+ (* 2 (/ (* t x) (* y z))) (* 2 (/ (* (pow t 2) x) (* (pow y 2) 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>) () ())) ()) |
#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>) () ())) ()) |
#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 (* -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 (* -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>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (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>) () ())) ()) |
#s(alt (* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y 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 (/ (+ (* -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)) (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>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 x) (#s(alt (*.f64 x #s(literal 2 binary64)) (patch (*.f64 x #s(literal 2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 x) (taylor 0 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 0 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 0 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 0 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>) () ())) ()) |
#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)))) |
| 2.0ms | z | @ | -inf | ((- (* y z) (* t z)) (* x 2) (* y z) (* t z) (/ (* x 2) (- (* y z) (* t z)))) |
| 1.0ms | z | @ | inf | ((- (* y z) (* t z)) (* x 2) (* y z) (* t z) (/ (* x 2) (- (* y z) (* t z)))) |
| 1.0ms | x | @ | inf | ((- (* y z) (* t z)) (* x 2) (* y z) (* t z) (/ (* x 2) (- (* y z) (* t z)))) |
| 1.0ms | t | @ | 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> |
#<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)
10 alts after pruning (10 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 534 | 10 | 544 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 535 | 10 | 545 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 93.5% | (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) |
| ▶ | 91.9% | (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) |
| 93.2% | (/.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (-.f64 y t) x)) | |
| 56.4% | (/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 y t) z)) (*.f64 (*.f64 (neg.f64 z) (-.f64 y t)) (*.f64 #s(literal -2 binary64) x))) (*.f64 (*.f64 (neg.f64 z) (-.f64 y t)) (*.f64 (-.f64 y t) z))) | |
| 91.1% | (/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 (neg.f64 z) t (*.f64 z y))) | |
| 91.5% | (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) | |
| ▶ | 52.3% | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
| 52.9% | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) | |
| ▶ | 91.3% | (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
| ▶ | 52.3% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
Compiled 226 to 200 computations (11.5% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| 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))) | |
| 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 | 32 | 163 |
| 0 | 50 | 156 |
| 1 | 93 | 156 |
| 2 | 188 | 156 |
| 3 | 376 | 156 |
| 4 | 629 | 156 |
| 5 | 990 | 156 |
| 6 | 2001 | 156 |
| 7 | 3415 | 156 |
| 8 | 4078 | 156 |
| 9 | 4390 | 156 |
| 10 | 4533 | 156 |
| 11 | 4585 | 156 |
| 12 | 4603 | 156 |
| 13 | 5146 | 156 |
| 14 | 5348 | 156 |
| 15 | 5378 | 156 |
| 16 | 5417 | 156 |
| 17 | 5417 | 156 |
| 18 | 5593 | 156 |
| 19 | 5639 | 156 |
| 20 | 5789 | 156 |
| 21 | 6061 | 156 |
| 22 | 6065 | 156 |
| 23 | 6065 | 156 |
| 0 | 6065 | 156 |
| 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 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) |
| 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 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) (-.f64 y t)) (/.f64 x z)) |
(/.f64 x z) |
x |
z |
(*.f64 (-.f64 y t) #s(literal 1/2 binary64)) |
(*.f64 #s(literal 1/2 binary64) (-.f64 y t)) |
(-.f64 y t) |
y |
t |
#s(literal 1/2 binary64) |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | (-.f64 y t) | |
| accuracy | 0 | (*.f64 (-.f64 y t) #s(literal 1/2 binary64)) | |
| accuracy | 5.206393731384957 | (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 0.015625 | (*.f64 (-.f64 y t) z) | |
| accuracy | 1.0096983139781492 | (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z)) | |
| accuracy | 4.908397914215661 | (*.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 | 5.435737207507896 | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) | |
| accuracy | 29.919568639009885 | #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 | 7.215936636783434 | (/.f64 x (*.f64 t z)) | |
| accuracy | 28.61139749019824 | #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 | 0.0078125 | (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) | |
| accuracy | 4.162343665016219 | (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) |
| 114.0ms | 256× | 0 | valid |
Compiled 147 to 29 computations (80.3% saved)
ival-mult: 27.0ms (63.4% of total)ival-div: 11.0ms (25.8% of total)ival-sub: 2.0ms (4.7% of total)ival-neg: 2.0ms (4.7% 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 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 (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 |
|---|
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#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#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 z)))) (taylor -inf x) (#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>) () ())) ()) |
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#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#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 x) (#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 -inf x) (#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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#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#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 -inf x) (#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<representation binary64>) () ())) ()) |
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#s(alt (/ x (* t z)) (taylor -inf x) (#s(alt (/.f64 x (*.f64 t z)) (patch (/.f64 x (*.f64 t z)) #<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)) #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>) () ())) ()) |
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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>) () ())) ()) |
#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 (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#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>) () ())) ()) |
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#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
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#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#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>) () ())) ()) |
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#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#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>) () ())) ()) |
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12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | 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) (/ (/ x z) (* (- y t) 1/2)) (/ x z) (* (- y t) 1/2) (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) (/ (/ x z) (* (- y t) 1/2)) (/ x z) (* (- y t) 1/2) (neg t) (* (neg x) (/ -2 (* (- y t) z)))) |
| 3.0ms | 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) (/ (/ x z) (* (- y t) 1/2)) (/ x z) (* (- y t) 1/2) (neg t) (* (neg x) (/ -2 (* (- y t) z)))) |
| 3.0ms | 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) (/ (/ x z) (* (- y t) 1/2)) (/ x z) (* (- y t) 1/2) (neg t) (* (neg x) (/ -2 (* (- y t) z)))) |
| 3.0ms | z | @ | -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) (/ (/ x z) (* (- y t) 1/2)) (/ x z) (* (- y t) 1/2) (neg t) (* (neg x) (/ -2 (* (- y t) z)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 488 | 6503 |
| 1 | 1534 | 6206 |
| 2 | 4680 | 5959 |
| 0 | 8262 | 5715 |
| 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 (/ 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)) |
(* -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))) |
(* t (+ (* -1 z) (/ (* y z) t))) |
(* t (+ (* -1 z) (/ (* y 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) |
(* -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) |
(* -1 t) |
(* -1 t) |
(* -1 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))) |
(* -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)) |
(* -1 (/ (+ (* 2 x) (* 2 (/ (* x y) t))) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* x y)) (* -2 (/ (* x (pow y 2)) t))) t)) (* 2 x)) t)) |
(* -1 (/ (+ (* -1 (/ (+ (* -2 (* x y)) (* -1 (/ (+ (* 2 (* x (pow y 2))) (* 2 (/ (* x (pow y 3)) t))) t))) t)) (* 2 x)) 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))) |
(* -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))) |
(* -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 (* 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)))) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(* -1 (* t z)) |
(/ 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)) |
(* -1 (* t z)) |
(* -1 (* t (+ z (* -1 (/ (* y z) t))))) |
(* -1 (* t (+ z (* -1 (/ (* y z) t))))) |
(* -1 (* t (+ z (* -1 (/ (* y 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)) |
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(* -1 (/ (+ (* -1 (/ (+ (* -2 (/ (* x y) z)) (* -2 (/ (* x (pow y 2)) (* t z)))) t)) (* 2 (/ x z))) t)) |
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(/ x (* t z)) |
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(/ x (* t z)) |
(* t z) |
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(* 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 (* z (- y t)))) |
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(* -2 (/ x (* t z))) |
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(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
(/ x (* t z)) |
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(/ x (* t z)) |
(* t z) |
(* t z) |
(* t 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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(* -1 t) |
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(+ (* -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)))))))) |
(* -1 (* t z)) |
(- (* y z) (* t z)) |
(- (* y z) (* t z)) |
(- (* y z) (* t 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)))) |
(* -1 (* t z)) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t 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)))))))) |
(* -1/2 t) |
(+ (* -1/2 t) (* 1/2 y)) |
(+ (* -1/2 t) (* 1/2 y)) |
(+ (* -1/2 t) (* 1/2 y)) |
(* -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) |
(* 2 (/ x y)) |
(/ (+ (* 2 x) (* 2 (/ (* t x) y))) y) |
(/ (+ (* 2 x) (+ (* 2 (/ (* t x) y)) (* 2 (/ (* (pow t 2) x) (pow y 2))))) y) |
(/ (+ (* 2 x) (+ (* 2 (/ (* t x) y)) (+ (* 2 (/ (* (pow t 2) x) (pow y 2))) (* 2 (/ (* (pow t 3) x) (pow y 3)))))) y) |
y |
(* y (+ 1 (* -1 (/ t y)))) |
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(* 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) |
(* y z) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(* y (+ z (* -1 (/ (* t z) y)))) |
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(/ (- (* -2 (/ t (* y z))) (* 2 (/ 1 z))) y) |
(/ (- (* -2 (/ (pow t 2) (* (pow y 2) z))) (+ (* 2 (/ t (* y z))) (* 2 (/ 1 z)))) y) |
(/ (- (* -2 (/ (pow t 3) (* (pow y 3) z))) (+ (* 2 (/ t (* y z))) (+ (* 2 (/ (pow t 2) (* (pow y 2) z))) (* 2 (/ 1 z))))) y) |
(* y z) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(* y (+ z (* -1 (/ (* t z) y)))) |
(* y (+ z (* -1 (/ (* t 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) |
(* 1/2 y) |
(* y (+ 1/2 (* -1/2 (/ t y)))) |
(* y (+ 1/2 (* -1/2 (/ t y)))) |
(* y (+ 1/2 (* -1/2 (/ 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))) |
(* -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)) |
(* -1 (/ (+ (* -2 x) (* -2 (/ (* t x) y))) y)) |
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* 2 (* t x)) (* 2 (/ (* (pow t 2) x) y))) y))) y)) |
(* -1 (/ (+ (* -2 x) (* -1 (/ (+ (* -1 (/ (+ (* -2 (* (pow t 2) x)) (* -2 (/ (* (pow t 3) x) y))) y)) (* 2 (* t x))) y))) 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)) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) 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)) |
(* y z) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(* -1 (* y (+ (* -1 z) (/ (* t 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))) |
(* 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)))) |
(* 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)))) |
(/ 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 (* 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)))) |
(/ 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 (* 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)))) |
(/ 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)))) |
| 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 (/.f64 (/.f64 x y) y) t (/.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 x y) y) t (/.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)) |
(*.f64 (/.f64 x y) #s(literal 2 binary64)) |
(+ (* 2 (/ x y)) (* 2 (/ (* t x) (pow y 2)))) |
(*.f64 (/.f64 #s(literal 2 binary64) y) (fma.f64 (/.f64 x y) t x)) |
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(* -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 (/ 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 #s(literal 2 binary64) z) (fma.f64 (/.f64 x y) t x)) 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 t #s(literal 2 binary64)) (/.f64 x z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 t t (/.f64 (pow.f64 t #s(literal 3 binary64)) y))) y))) (neg.f64 y))) (neg.f64 y)) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) z) y) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) z) y) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) z) 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 #s(literal -2 binary64) y) (/.f64 t z) (/.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) (fma.f64 t (/.f64 (/.f64 t y) y) (/.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) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) z) y) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) z) y) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (fma.f64 (/.f64 z y) (neg.f64 t) 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 #s(literal 2 binary64) z) (fma.f64 (/.f64 x y) t x)) 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 t #s(literal 2 binary64)) (/.f64 x z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 t t (/.f64 (pow.f64 t #s(literal 3 binary64)) y))) y))) (neg.f64 y))) (neg.f64 y)) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* -1 (* y (- (* 1/2 (/ t y)) 1/2))) |
(*.f64 (fma.f64 (/.f64 t y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 y)) |
(* -1 (* y (- (* 1/2 (/ t y)) 1/2))) |
(*.f64 (fma.f64 (/.f64 t y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 y)) |
(* -1 (* y (- (* 1/2 (/ t y)) 1/2))) |
(*.f64 (fma.f64 (/.f64 t y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 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 #s(literal 2 binary64) z) (fma.f64 (/.f64 x y) t x)) 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 t #s(literal 2 binary64)) (/.f64 x z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 t t (/.f64 (pow.f64 t #s(literal 3 binary64)) y))) y))) (neg.f64 y))) (neg.f64 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)) |
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(*.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)) |
(* -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 x (*.f64 t z)) |
(/ x (* t z)) |
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(/ x (* t z)) |
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(/ x (* t z)) |
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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)) |
(/ 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 (* 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) |
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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)) |
(* 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))) |
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(/ x (* t z)) |
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(/ x (* t z)) |
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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) |
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(* 2 x) |
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(* -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)) |
(/ 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 (* 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)) |
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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 (- y t))) |
(*.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) |
(*.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 (* 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)) |
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(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
(/.f64 x (*.f64 t z)) |
(/ x (* t z)) |
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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)) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x z) |
(/ x z) |
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(* 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 | 32 | 134 |
| 0 | 50 | 127 |
| 1 | 176 | 127 |
| 2 | 1047 | 127 |
| 0 | 8478 | 127 |
| 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 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) |
(/.f64 x z) |
(*.f64 (-.f64 y t) #s(literal 1/2 binary64)) |
(neg.f64 t) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
| Outputs |
|---|
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Compiled 36 915 to 3 474 computations (90.6% saved)
14 alts after pruning (11 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 2 181 | 9 | 2 190 |
| Fresh | 3 | 2 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 2 186 | 14 | 2 200 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 93.5% | (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) |
| ▶ | 93.4% | (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 t y) (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))))) z) |
| 55.5% | (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) | |
| ▶ | 52.6% | (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal -1/2 binary64) t))) |
| 92.5% | (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) | |
| 91.5% | (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) | |
| 52.9% | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) | |
| 53.8% | (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) | |
| ▶ | 52.3% | (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) z) |
| 92.3% | (*.f64 (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z) x) | |
| ✓ | 91.3% | (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
| ▶ | 52.8% | (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) |
| ✓ | 52.3% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
| ▶ | 52.2% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) |
Compiled 233 to 238 computations (-2.1% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal -1/2 binary64) t) | |
| cost-diff | 0 | #s(approx (* (- y t) 1/2) (*.f64 #s(literal -1/2 binary64) t)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal -1/2 binary64) t))) | |
| cost-diff | 0 | (/.f64 x t) | |
| cost-diff | 0 | (*.f64 (/.f64 x t) #s(literal -2 binary64)) | |
| cost-diff | 0 | #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) | |
| cost-diff | 0 | (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) z) | |
| cost-diff | 0 | #s(approx (* (- y t) z) (*.f64 z y)) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 128 | (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) | |
| cost-diff | 0 | (*.f64 z t) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) (*.f64 z t)) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x) | |
| cost-diff | 0 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) | |
| cost-diff | 0 | (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 t y) (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))))) | |
| cost-diff | 0 | (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 t y) (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))))) z) | |
| cost-diff | 1408 | (*.f64 (+.f64 t y) (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64)))) | |
| cost-diff | 6080 | (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 231 |
| 0 | 65 | 239 |
| 1 | 116 | 239 |
| 2 | 270 | 196 |
| 3 | 781 | 196 |
| 4 | 3522 | 196 |
| 5 | 5847 | 196 |
| 0 | 8531 | 196 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 t y) (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))))) z) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 t y) (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))))) |
(*.f64 #s(literal 2 binary64) x) |
#s(literal 2 binary64) |
x |
(*.f64 (+.f64 t y) (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64)))) |
(+.f64 t y) |
t |
y |
(*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))) |
(-.f64 y t) |
(pow.f64 (+.f64 t y) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
z |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x) |
(/.f64 #s(literal -2 binary64) (*.f64 z t)) |
#s(literal -2 binary64) |
(*.f64 z t) |
z |
t |
x |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) |
(neg.f64 x) |
x |
(/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) |
#s(literal -2 binary64) |
#s(approx (* (- y t) z) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
(/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) z) |
#s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) |
(*.f64 (/.f64 x t) #s(literal -2 binary64)) |
(/.f64 x t) |
x |
t |
#s(literal -2 binary64) |
z |
(/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal -1/2 binary64) t))) |
(/.f64 x z) |
x |
z |
#s(approx (* (- y t) 1/2) (*.f64 #s(literal -1/2 binary64) t)) |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
| Outputs |
|---|
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 t y) (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))))) z) |
(*.f64 (/.f64 x (-.f64 t y)) (/.f64 #s(literal -2 binary64) z)) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 t y) (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))))) |
(*.f64 (/.f64 x (-.f64 t y)) #s(literal -2 binary64)) |
(*.f64 #s(literal 2 binary64) x) |
(*.f64 x #s(literal 2 binary64)) |
#s(literal 2 binary64) |
x |
(*.f64 (+.f64 t y) (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64)))) |
(-.f64 y t) |
(+.f64 t y) |
(+.f64 y t) |
t |
y |
(*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))) |
(/.f64 (-.f64 y t) (+.f64 y t)) |
(-.f64 y t) |
(pow.f64 (+.f64 t y) #s(literal -1 binary64)) |
(pow.f64 (+.f64 y t) #s(literal -1 binary64)) |
#s(literal -1 binary64) |
z |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x) |
(/.f64 #s(literal -2 binary64) (*.f64 z t)) |
#s(literal -2 binary64) |
(*.f64 z t) |
z |
t |
x |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (* (- y t) z) (*.f64 z y))) |
(neg.f64 x) |
x |
(/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) |
#s(literal -2 binary64) |
#s(approx (* (- y t) z) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
(/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) z) |
#s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) |
(*.f64 (/.f64 x t) #s(literal -2 binary64)) |
(/.f64 x t) |
x |
t |
#s(literal -2 binary64) |
z |
(/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal -1/2 binary64) t))) |
(/.f64 x z) |
x |
z |
#s(approx (* (- y t) 1/2) (*.f64 #s(literal -1/2 binary64) t)) |
(*.f64 #s(literal -1/2 binary64) t) |
#s(literal -1/2 binary64) |
t |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | (*.f64 #s(literal -1/2 binary64) t) | |
| accuracy | 5.206393731384957 | (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal -1/2 binary64) t))) | |
| accuracy | 31.47745097028171 | #s(approx (* (- y t) 1/2) (*.f64 #s(literal -1/2 binary64) t)) | |
| accuracy | 0 | (/.f64 x t) | |
| accuracy | 0.00390625 | (*.f64 (/.f64 x t) #s(literal -2 binary64)) | |
| accuracy | 4.162343665016219 | (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) z) | |
| accuracy | 31.129525813493437 | #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 1.0096983139781492 | (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) | |
| accuracy | 4.908397914215661 | (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) | |
| accuracy | 30.144942485850102 | #s(approx (* (- y t) z) (*.f64 z y)) | |
| accuracy | 0 | (*.f64 z t) | |
| accuracy | 0.4535172443118393 | (/.f64 #s(literal -2 binary64) (*.f64 z t)) | |
| accuracy | 7.3489690840433575 | (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x) | |
| accuracy | 28.61139749019824 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) | |
| accuracy | 0.0078125 | (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 t y) (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))))) | |
| accuracy | 0.01953125 | (*.f64 (+.f64 t y) (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64)))) | |
| accuracy | 0.1484375 | (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))) | |
| accuracy | 4.162343665016219 | (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 t y) (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))))) z) |
| 98.0ms | 255× | 0 | valid |
| 1.0ms | 1× | 5 | exit |
Compiled 193 to 40 computations (79.3% saved)
ival-mult: 44.0ms (59% of total)ival-div: 18.0ms (24.1% of total)ival-sub: 4.0ms (5.4% of total)ival-pow: 4.0ms (5.4% of total)ival-add: 1.0ms (1.3% of total)exact: 1.0ms (1.3% of total)ival-neg: 1.0ms (1.3% of total)adjust: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))) (patch (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (+.f64 t y) (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64)))) (patch (*.f64 (+.f64 t y) (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64)))) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 t y) (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))))) z) (patch (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 t y) (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))))) z) #<representation binary64>) () ()) |
#s(alt (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 t y) (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))))) (patch (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 t y) (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))))) #<representation binary64>) () ()) |
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#s(alt (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x) (patch (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -2 binary64) (*.f64 z t)) (patch (/.f64 #s(literal -2 binary64) (*.f64 z t)) #<representation binary64>) () ()) |
#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) (patch (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) (patch (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- y t) z) (*.f64 z y)) (patch #s(approx (* (- y t) z) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) z) (patch (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) z) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) (patch #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 x t) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x t) #s(literal -2 binary64)) #<representation binary64>) () ()) |
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#s(alt (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal -1/2 binary64) t))) (patch (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal -1/2 binary64) t))) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- y t) 1/2) (*.f64 #s(literal -1/2 binary64) t)) (patch #s(approx (* (- y t) 1/2) (*.f64 #s(literal -1/2 binary64) t)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal -1/2 binary64) t) (patch (*.f64 #s(literal -1/2 binary64) t) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt 1 (taylor 0 t) (#s(alt (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))) (patch (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))) #<representation binary64>) () ())) ()) |
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#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 #s(literal -2 binary64) (*.f64 z t)) x)) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) #<representation binary64>) () ())) ()) |
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#s(alt (/ -2 (* t z)) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 z t)) (patch (/.f64 #s(literal -2 binary64) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (* t z)) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (*.f64 z t)) (patch (/.f64 #s(literal -2 binary64) (*.f64 z t)) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* t z) (taylor 0 t) (#s(alt (*.f64 z t) (patch (*.f64 z t) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) (patch (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) #<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) #s(approx (* (- y t) z) (*.f64 z y)))) (patch (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z 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 (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) (patch (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z 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 (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) (patch (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 (* y z)) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) (patch (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x) (patch (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x) (patch (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x) (patch (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x) (patch (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) (patch (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) (patch (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
#s(alt (* -1 x) (taylor -inf x) (#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) z) (patch (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) z) (patch (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) z) (patch (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) z) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- y t))) (taylor -inf x) (#s(alt #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) (patch #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- y t))) (taylor -inf x) (#s(alt #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) (patch #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- y t))) (taylor -inf x) (#s(alt #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) (patch #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) #<representation binary64>) () ())) ()) |
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#s(alt (* -2 (/ x t)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x t) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x t) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x t)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x t) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x t) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x t)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x t) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x t) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x t)) (taylor -inf x) (#s(alt (*.f64 (/.f64 x t) #s(literal -2 binary64)) (patch (*.f64 (/.f64 x t) #s(literal -2 binary64)) #<representation binary64>) () ())) ()) |
#s(alt (/ x t) (taylor -inf x) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ()) |
#s(alt (/ x t) (taylor -inf x) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ()) |
#s(alt (/ x t) (taylor -inf x) (#s(alt (/.f64 x t) (patch (/.f64 x t) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal -1/2 binary64) t))) (patch (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal -1/2 binary64) t))) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal -1/2 binary64) t))) (patch (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal -1/2 binary64) t))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal -1/2 binary64) t))) (patch (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal -1/2 binary64) t))) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 10.0ms | z | @ | inf | ((* (- y t) (pow (+ t y) -1)) (* (+ t y) (* (- y t) (pow (+ t y) -1))) (/ (/ (* 2 x) (* (+ t y) (* (- y t) (pow (+ t y) -1)))) z) (/ (* 2 x) (* (+ t y) (* (- y t) (pow (+ t y) -1)))) (/ (* x 2) (- (* y z) (* t z))) (* (/ -2 (* z t)) x) (/ -2 (* z t)) (* z t) (* (neg x) (/ -2 (* (- y t) z))) (neg x) (/ -2 (* (- y t) z)) (* (- y t) z) (/ (/ (* 2 x) (- y t)) z) (/ (* 2 x) (- y t)) (* (/ x t) -2) (/ x t) (/ (/ x z) (* (- y t) 1/2)) (/ x z) (* (- y t) 1/2) (* -1/2 t)) |
| 4.0ms | x | @ | -inf | ((* (- y t) (pow (+ t y) -1)) (* (+ t y) (* (- y t) (pow (+ t y) -1))) (/ (/ (* 2 x) (* (+ t y) (* (- y t) (pow (+ t y) -1)))) z) (/ (* 2 x) (* (+ t y) (* (- y t) (pow (+ t y) -1)))) (/ (* x 2) (- (* y z) (* t z))) (* (/ -2 (* z t)) x) (/ -2 (* z t)) (* z t) (* (neg x) (/ -2 (* (- y t) z))) (neg x) (/ -2 (* (- y t) z)) (* (- y t) z) (/ (/ (* 2 x) (- y t)) z) (/ (* 2 x) (- y t)) (* (/ x t) -2) (/ x t) (/ (/ x z) (* (- y t) 1/2)) (/ x z) (* (- y t) 1/2) (* -1/2 t)) |
| 4.0ms | t | @ | 0 | ((* (- y t) (pow (+ t y) -1)) (* (+ t y) (* (- y t) (pow (+ t y) -1))) (/ (/ (* 2 x) (* (+ t y) (* (- y t) (pow (+ t y) -1)))) z) (/ (* 2 x) (* (+ t y) (* (- y t) (pow (+ t y) -1)))) (/ (* x 2) (- (* y z) (* t z))) (* (/ -2 (* z t)) x) (/ -2 (* z t)) (* z t) (* (neg x) (/ -2 (* (- y t) z))) (neg x) (/ -2 (* (- y t) z)) (* (- y t) z) (/ (/ (* 2 x) (- y t)) z) (/ (* 2 x) (- y t)) (* (/ x t) -2) (/ x t) (/ (/ x z) (* (- y t) 1/2)) (/ x z) (* (- y t) 1/2) (* -1/2 t)) |
| 3.0ms | x | @ | inf | ((* (- y t) (pow (+ t y) -1)) (* (+ t y) (* (- y t) (pow (+ t y) -1))) (/ (/ (* 2 x) (* (+ t y) (* (- y t) (pow (+ t y) -1)))) z) (/ (* 2 x) (* (+ t y) (* (- y t) (pow (+ t y) -1)))) (/ (* x 2) (- (* y z) (* t z))) (* (/ -2 (* z t)) x) (/ -2 (* z t)) (* z t) (* (neg x) (/ -2 (* (- y t) z))) (neg x) (/ -2 (* (- y t) z)) (* (- y t) z) (/ (/ (* 2 x) (- y t)) z) (/ (* 2 x) (- y t)) (* (/ x t) -2) (/ x t) (/ (/ x z) (* (- y t) 1/2)) (/ x z) (* (- y t) 1/2) (* -1/2 t)) |
| 3.0ms | z | @ | -inf | ((* (- y t) (pow (+ t y) -1)) (* (+ t y) (* (- y t) (pow (+ t y) -1))) (/ (/ (* 2 x) (* (+ t y) (* (- y t) (pow (+ t y) -1)))) z) (/ (* 2 x) (* (+ t y) (* (- y t) (pow (+ t y) -1)))) (/ (* x 2) (- (* y z) (* t z))) (* (/ -2 (* z t)) x) (/ -2 (* z t)) (* z t) (* (neg x) (/ -2 (* (- y t) z))) (neg x) (/ -2 (* (- y t) z)) (* (- y t) z) (/ (/ (* 2 x) (- y t)) z) (/ (* 2 x) (- y t)) (* (/ x t) -2) (/ x t) (/ (/ x z) (* (- y t) 1/2)) (/ x z) (* (- y t) 1/2) (* -1/2 t)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 585 | 7133 |
| 1 | 1830 | 6774 |
| 2 | 5557 | 6702 |
| 0 | 8109 | 6437 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
1 |
(+ 1 (* -2 (/ t y))) |
(+ 1 (* t (- (* 2 (/ t (pow y 2))) (* 2 (/ 1 y))))) |
(+ 1 (* t (- (* t (+ (* -2 (/ t (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 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)) |
(+ (* 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)))))))) |
(* 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 (* t z)) |
(/ -2 (* t z)) |
(/ -2 (* t z)) |
(/ -2 (* 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)))))))) |
(/ -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 (/ 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)))))))) |
(* -2 (/ x t)) |
(* -2 (/ x t)) |
(* -2 (/ x t)) |
(* -2 (/ x t)) |
(/ x t) |
(/ x t) |
(/ x t) |
(/ x 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)))))))) |
(* 1/2 y) |
(+ (* -1/2 t) (* 1/2 y)) |
(+ (* -1/2 t) (* 1/2 y)) |
(+ (* -1/2 t) (* 1/2 y)) |
(* -1/2 t) |
(* -1/2 t) |
(* -1/2 t) |
(* -1/2 t) |
-1 |
(- (/ y t) (+ 1 (* -1 (/ y t)))) |
(- (+ (* -1 (/ (* y (- y (* -1 y))) (pow t 2))) (/ y t)) (+ 1 (* -1 (/ y t)))) |
(- (+ (/ y t) (/ (* (pow y 2) (- y (* -1 y))) (pow t 3))) (+ 1 (+ (* -1 (/ y t)) (/ (* y (- y (* -1 y))) (pow t 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)) |
(/ (+ (* -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) |
(* -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 (* 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 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 (/ 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))) |
(* t (+ (* -1 z) (/ (* y z) t))) |
(* t (+ (* -1 z) (/ (* y 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)) |
(/ (+ (* -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) |
(* -2 (/ x t)) |
(* -2 (/ x t)) |
(* -2 (/ x t)) |
(* -2 (/ x t)) |
(/ x t) |
(/ x t) |
(/ x t) |
(/ x 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) |
(* -1/2 t) |
(* t (- (* 1/2 (/ y t)) 1/2)) |
(* t (- (* 1/2 (/ y t)) 1/2)) |
(* t (- (* 1/2 (/ y t)) 1/2)) |
(* -1/2 t) |
(* -1/2 t) |
(* -1/2 t) |
(* -1/2 t) |
-1 |
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(+ (* -1/2 t) (* 1/2 y)) |
(+ (* -1/2 t) (* 1/2 y)) |
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(* 1/2 y) |
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1 |
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y |
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(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* -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 (- y t))) |
(* 2 (/ x (- y t))) |
(* 2 (/ x (- y t))) |
(* 2 (/ x (- y t))) |
(* -2 (/ x t)) |
(* -2 (/ x t)) |
(* -2 (/ x t)) |
(* -2 (/ x t)) |
(/ x t) |
(/ x t) |
(/ x t) |
(/ x t) |
(* 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 t))) |
(* 2 (/ x (- y t))) |
(* 2 (/ x (- y t))) |
(* 2 (/ x (- 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))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* -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 (- y t))) |
(* 2 (/ x (- y t))) |
(* 2 (/ x (- y t))) |
(* 2 (/ x (- y t))) |
(* -2 (/ x t)) |
(* -2 (/ x t)) |
(* -2 (/ x t)) |
(* -2 (/ x t)) |
(/ x t) |
(/ x t) |
(/ x t) |
(/ x t) |
(* 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) |
| Outputs |
|---|
1 |
#s(literal 1 binary64) |
(+ 1 (* -2 (/ t y))) |
(fma.f64 (/.f64 t y) #s(literal -2 binary64) #s(literal 1 binary64)) |
(+ 1 (* t (- (* 2 (/ t (pow y 2))) (* 2 (/ 1 y))))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) y) t (/.f64 #s(literal -2 binary64) y)) t #s(literal 1 binary64)) |
(+ 1 (* t (- (* t (+ (* -2 (/ t (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 t (pow.f64 y #s(literal 3 binary64))) #s(literal -2 binary64) (/.f64 (/.f64 #s(literal 2 binary64) y) y)) t (/.f64 #s(literal -2 binary64) y)) t #s(literal 1 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 z y) y)) 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 z (pow.f64 y #s(literal 3 binary64)))) t (/.f64 x (*.f64 (*.f64 z y) y))) #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) t) (fma.f64 x (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (*.f64 z (pow.f64 y #s(literal 3 binary64))))) (*.f64 (/.f64 x (*.f64 (*.f64 z y) y)) #s(literal 2 binary64))) 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) t) (fma.f64 x (/.f64 t (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))) t (*.f64 (/.f64 x y) #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 (fma.f64 (/.f64 x (*.f64 (*.f64 z y) y)) 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 z (pow.f64 y #s(literal 3 binary64)))) t (/.f64 x (*.f64 (*.f64 z y) y))) #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) t) (fma.f64 x (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (*.f64 z (pow.f64 y #s(literal 3 binary64))))) (*.f64 (/.f64 x (*.f64 (*.f64 z y) y)) #s(literal 2 binary64))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 z t)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 z t)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 z t)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 z t)) #s(literal -2 binary64)) |
(/ -2 (* t z)) |
(/.f64 #s(literal -2 binary64) (*.f64 z t)) |
(/ -2 (* t z)) |
(/.f64 #s(literal -2 binary64) (*.f64 z t)) |
(/ -2 (* t z)) |
(/.f64 #s(literal -2 binary64) (*.f64 z t)) |
(/ -2 (* t z)) |
(/.f64 #s(literal -2 binary64) (*.f64 z t)) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z 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 z y) y)) 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 z (pow.f64 y #s(literal 3 binary64)))) t (/.f64 x (*.f64 (*.f64 z y) y))) #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) t) (fma.f64 x (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (*.f64 z (pow.f64 y #s(literal 3 binary64))))) (*.f64 (/.f64 x (*.f64 (*.f64 z y) y)) #s(literal 2 binary64))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 binary64))) |
(/ -2 (* y z)) |
(/.f64 (/.f64 #s(literal -2 binary64) y) z) |
(- (* -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 z y) y))) t (/.f64 (/.f64 #s(literal -2 binary64) 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)))) |
(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 z (pow.f64 y #s(literal 3 binary64))))) t (/.f64 #s(literal -2 binary64) (*.f64 (*.f64 z y) y))) t (/.f64 (/.f64 #s(literal -2 binary64) y) z)) |
(* 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 (/ 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 z y) y)) 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 z (pow.f64 y #s(literal 3 binary64)))) t (/.f64 x (*.f64 (*.f64 z y) y))) #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) t) (fma.f64 x (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (*.f64 z (pow.f64 y #s(literal 3 binary64))))) (*.f64 (/.f64 x (*.f64 (*.f64 z y) y)) #s(literal 2 binary64))) 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) t) (fma.f64 x (/.f64 t (pow.f64 y #s(literal 4 binary64))) (/.f64 x (pow.f64 y #s(literal 3 binary64)))) (*.f64 (/.f64 (/.f64 x y) y) #s(literal 2 binary64))) t (*.f64 (/.f64 x y) #s(literal 2 binary64))) |
(* -2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal -2 binary64)) |
(* -2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal -2 binary64)) |
(* -2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal -2 binary64)) |
(* -2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal -2 binary64)) |
(/ x t) |
(/.f64 x t) |
(/ x t) |
(/.f64 x t) |
(/ x t) |
(/.f64 x t) |
(/ x t) |
(/.f64 x 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 z y) y)) 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 z (pow.f64 y #s(literal 3 binary64)))) t (/.f64 x (*.f64 (*.f64 z y) y))) #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) t) (fma.f64 x (/.f64 t (*.f64 (pow.f64 y #s(literal 4 binary64)) z)) (/.f64 x (*.f64 z (pow.f64 y #s(literal 3 binary64))))) (*.f64 (/.f64 x (*.f64 (*.f64 z y) y)) #s(literal 2 binary64))) t (*.f64 (/.f64 x (*.f64 z y)) #s(literal 2 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)) |
(* -1/2 t) |
(*.f64 #s(literal -1/2 binary64) t) |
(* -1/2 t) |
(*.f64 #s(literal -1/2 binary64) t) |
(* -1/2 t) |
(*.f64 #s(literal -1/2 binary64) t) |
(* -1/2 t) |
(*.f64 #s(literal -1/2 binary64) t) |
-1 |
#s(literal -1 binary64) |
(- (/ y t) (+ 1 (* -1 (/ y t)))) |
(fma.f64 (/.f64 #s(literal 2 binary64) t) y #s(literal -1 binary64)) |
(- (+ (* -1 (/ (* y (- y (* -1 y))) (pow t 2))) (/ y t)) (+ 1 (* -1 (/ y t)))) |
(fma.f64 (fma.f64 (/.f64 (/.f64 y t) t) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) y #s(literal -1 binary64)) |
(- (+ (/ y t) (/ (* (pow y 2) (- y (* -1 y))) (pow t 3))) (+ 1 (+ (* -1 (/ y t)) (/ (* y (- y (* -1 y))) (pow t 2))))) |
(+.f64 (/.f64 (*.f64 (pow.f64 y #s(literal 3 binary64)) #s(literal 2 binary64)) (pow.f64 t #s(literal 3 binary64))) (fma.f64 (fma.f64 (/.f64 (/.f64 y t) t) #s(literal -2 binary64) (/.f64 #s(literal 2 binary64) t)) y #s(literal -1 binary64))) |
(* -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 z t)) #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 (/.f64 (/.f64 y 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 y (/.f64 (/.f64 y t) 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) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 z t)) #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 (/.f64 (/.f64 y 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 z t)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 z t)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 z t)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 z t)) #s(literal -2 binary64)) |
(/ -2 (* t z)) |
(/.f64 #s(literal -2 binary64) (*.f64 z t)) |
(/ -2 (* t z)) |
(/.f64 #s(literal -2 binary64) (*.f64 z t)) |
(/ -2 (* t z)) |
(/.f64 #s(literal -2 binary64) (*.f64 z t)) |
(/ -2 (* t z)) |
(/.f64 #s(literal -2 binary64) (*.f64 z t)) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* t z) |
(*.f64 z t) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 z t)) #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 (/.f64 (/.f64 y 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 (* t z)) |
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(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 t y) #s(literal -1/2 binary64)) (neg.f64 y)) |
(* -1 (* y (- (* 1/2 (/ t y)) 1/2))) |
(*.f64 (fma.f64 #s(literal 1/2 binary64) (/.f64 t y) #s(literal -1/2 binary64)) (neg.f64 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 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 (- (* 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 z t)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 z t)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 z t)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 z t)) #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)) |
(* -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 (- 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 t)) |
(*.f64 (/.f64 x t) #s(literal -2 binary64)) |
(* -2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal -2 binary64)) |
(* -2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal -2 binary64)) |
(* -2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal -2 binary64)) |
(/ x t) |
(/.f64 x t) |
(/ x t) |
(/.f64 x t) |
(/ x t) |
(/.f64 x t) |
(/ x t) |
(/.f64 x t) |
(* 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 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 (- (* 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 z t)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 z t)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 z t)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 z t)) #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)) |
(* -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 (- 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 t)) |
(*.f64 (/.f64 x t) #s(literal -2 binary64)) |
(* -2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal -2 binary64)) |
(* -2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal -2 binary64)) |
(* -2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal -2 binary64)) |
(/ x t) |
(/.f64 x t) |
(/ x t) |
(/.f64 x t) |
(/ x t) |
(/.f64 x t) |
(/ x t) |
(/.f64 x t) |
(* 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 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)) |
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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 (* t z))) |
(*.f64 (/.f64 x (*.f64 z t)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 z t)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 z t)) #s(literal -2 binary64)) |
(* -2 (/ x (* t z))) |
(*.f64 (/.f64 x (*.f64 z t)) #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)) |
(* -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 (- 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 t)) |
(*.f64 (/.f64 x t) #s(literal -2 binary64)) |
(* -2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal -2 binary64)) |
(* -2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal -2 binary64)) |
(* -2 (/ x t)) |
(*.f64 (/.f64 x t) #s(literal -2 binary64)) |
(/ x t) |
(/.f64 x t) |
(/ x t) |
(/.f64 x t) |
(/ x t) |
(/.f64 x t) |
(/ x t) |
(/.f64 x t) |
(* 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) |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 192 |
| 0 | 65 | 190 |
| 1 | 223 | 158 |
| 2 | 1401 | 157 |
| 0 | 8575 | 157 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))) |
(*.f64 (+.f64 t y) (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64)))) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 t y) (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))))) z) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 t y) (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) |
(*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x) |
(/.f64 #s(literal -2 binary64) (*.f64 z t)) |
(*.f64 z t) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) |
(neg.f64 x) |
(/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) |
#s(approx (* (- y t) z) (*.f64 z y)) |
(/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) z) |
#s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) |
(*.f64 (/.f64 x t) #s(literal -2 binary64)) |
(/.f64 x t) |
(/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal -1/2 binary64) t))) |
(/.f64 x z) |
#s(approx (* (- y t) 1/2) (*.f64 #s(literal -1/2 binary64) t)) |
(*.f64 #s(literal -1/2 binary64) t) |
| Outputs |
|---|
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Compiled 23 679 to 3 167 computations (86.6% saved)
15 alts after pruning (8 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 440 | 3 | 1 443 |
| Fresh | 1 | 5 | 6 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 442 | 15 | 1 457 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 93.5% | (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) |
| ✓ | 93.4% | (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 t y) (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))))) z) |
| ▶ | 55.5% | (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) |
| ✓ | 52.6% | (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal -1/2 binary64) t))) |
| ▶ | 92.5% | (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) |
| ▶ | 91.5% | (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
| 52.9% | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) | |
| 53.8% | (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) | |
| ✓ | 52.3% | (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) z) |
| ▶ | 52.8% | (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) |
| ✓ | 91.3% | (*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) (*.f64 (-.f64 y t) z))) |
| 53.7% | (*.f64 (neg.f64 x) #s(approx (/ -2 (* (- y t) z)) (/.f64 (/.f64 #s(literal -2 binary64) y) z))) | |
| ▶ | 52.1% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x))) |
| ✓ | 52.3% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
| ✓ | 52.2% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) |
Compiled 204 to 215 computations (-5.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (/.f64 t x) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) z) | |
| cost-diff | 0 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x))) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x)) | |
| cost-diff | 0 | (*.f64 #s(literal 1/2 binary64) y) | |
| cost-diff | 0 | #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y)) | |
| cost-diff | 0 | (/.f64 x z) | |
| cost-diff | 0 | (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) | |
| 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)) | |
| cost-diff | 0 | (*.f64 z y) | |
| cost-diff | 0 | #s(approx (* (- y t) z) (*.f64 z y)) | |
| cost-diff | 0 | (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) | |
| cost-diff | 0 | (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) | |
| cost-diff | 0 | (/.f64 z x) | |
| cost-diff | 0 | (-.f64 t y) | |
| cost-diff | 0 | (/.f64 #s(literal -2 binary64) (-.f64 t y)) | |
| cost-diff | 384 | (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 158 |
| 0 | 52 | 156 |
| 1 | 88 | 156 |
| 2 | 153 | 156 |
| 3 | 239 | 156 |
| 4 | 349 | 156 |
| 5 | 553 | 156 |
| 6 | 986 | 156 |
| 7 | 2026 | 156 |
| 8 | 3125 | 156 |
| 9 | 3810 | 156 |
| 10 | 4378 | 156 |
| 11 | 4628 | 156 |
| 12 | 4683 | 156 |
| 13 | 5028 | 156 |
| 14 | 5148 | 156 |
| 15 | 5458 | 156 |
| 16 | 5594 | 156 |
| 17 | 5614 | 156 |
| 18 | 5630 | 156 |
| 19 | 5658 | 156 |
| 20 | 5846 | 156 |
| 21 | 5896 | 156 |
| 22 | 5898 | 156 |
| 23 | 6236 | 156 |
| 24 | 7692 | 156 |
| 0 | 8010 | 156 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) |
(/.f64 #s(literal -2 binary64) (-.f64 t y)) |
#s(literal -2 binary64) |
(-.f64 t y) |
t |
y |
(/.f64 z x) |
z |
x |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) |
(/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) |
#s(literal 2 binary64) |
#s(approx (* (- y t) z) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
x |
(/.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 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) |
(/.f64 x z) |
x |
z |
#s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x))) |
(/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x)) |
(/.f64 #s(literal -2 binary64) z) |
#s(literal -2 binary64) |
z |
(/.f64 t x) |
t |
x |
| Outputs |
|---|
(/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) |
(*.f64 (/.f64 (/.f64 x (-.f64 t y)) z) #s(literal -2 binary64)) |
(/.f64 #s(literal -2 binary64) (-.f64 t y)) |
#s(literal -2 binary64) |
(-.f64 t y) |
t |
y |
(/.f64 z x) |
z |
x |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) |
(/.f64 (*.f64 #s(literal 2 binary64) x) #s(approx (* (- y t) z) (*.f64 z y))) |
(/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) |
#s(literal 2 binary64) |
#s(approx (* (- y t) z) (*.f64 z y)) |
(*.f64 z y) |
z |
y |
x |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (/.f64 (/.f64 x (-.f64 t y)) z) #s(literal -2 binary64)) |
(*.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 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) |
(/.f64 x z) |
x |
z |
#s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
#s(literal 1/2 binary64) |
y |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 (/.f64 x t) z) #s(literal -2 binary64))) |
(/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x)) |
(*.f64 (/.f64 (/.f64 x t) z) #s(literal -2 binary64)) |
(/.f64 #s(literal -2 binary64) z) |
#s(literal -2 binary64) |
z |
(/.f64 t x) |
t |
x |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0 | (/.f64 t x) | |
| accuracy | 0 | (/.f64 #s(literal -2 binary64) z) | |
| accuracy | 3.4308973504678835 | (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x)) | |
| accuracy | 28.61139749019824 | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x))) | |
| accuracy | 0 | (/.f64 x z) | |
| accuracy | 0 | (*.f64 #s(literal 1/2 binary64) y) | |
| accuracy | 5.206393731384957 | (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) | |
| accuracy | 31.36121409685216 | #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y)) | |
| accuracy | 0 | (-.f64 y t) | |
| accuracy | 0 | (*.f64 x #s(literal 2 binary64)) | |
| accuracy | 0.015625 | (*.f64 (-.f64 y t) z) | |
| accuracy | 5.435737207507896 | (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) | |
| accuracy | 0 | (*.f64 z y) | |
| accuracy | 1.0096983139781492 | (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) | |
| accuracy | 4.908397914215661 | (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) | |
| accuracy | 30.351674399018755 | #s(approx (* (- y t) z) (*.f64 z y)) | |
| accuracy | 0 | (/.f64 z x) | |
| accuracy | 0 | (-.f64 t y) | |
| accuracy | 0.0078125 | (/.f64 #s(literal -2 binary64) (-.f64 t y)) | |
| accuracy | 4.790434948686786 | (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) |
| 82.0ms | 256× | 0 | valid |
Compiled 132 to 31 computations (76.5% saved)
ival-mult: 28.0ms (53.3% of total)ival-div: 20.0ms (38.1% of total)ival-sub: 4.0ms (7.6% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) (patch (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -2 binary64) (-.f64 t y)) (patch (/.f64 #s(literal -2 binary64) (-.f64 t y)) #<representation binary64>) () ()) |
#s(alt (-.f64 t y) (patch (-.f64 t y) #<representation binary64>) () ()) |
#s(alt (/.f64 z x) (patch (/.f64 z x) #<representation binary64>) () ()) |
#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) (patch (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- y t) z) (*.f64 z y)) (patch #s(approx (* (- y t) z) (*.f64 z y)) #<representation binary64>) () ()) |
#s(alt (*.f64 z y) (patch (*.f64 z y) #<representation binary64>) () ()) |
#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 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) (patch (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ()) |
#s(alt #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y)) (patch #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 1/2 binary64) y) (patch (*.f64 #s(literal 1/2 binary64) y) #<representation binary64>) () ()) |
#s(alt (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x)) (patch (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x)) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -2 binary64) z) (patch (/.f64 #s(literal -2 binary64) z) #<representation binary64>) () ()) |
#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) (patch (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) (patch (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 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 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) (patch (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 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 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) (patch (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 y) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 t y)) (patch (/.f64 #s(literal -2 binary64) (-.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ t (pow y 2))) (* 2 (/ 1 y))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 t y)) (patch (/.f64 #s(literal -2 binary64) (-.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* 2 (/ t (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 t y)) (patch (/.f64 #s(literal -2 binary64) (-.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* t (+ (* t (+ (* 2 (/ t (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) (taylor 0 t) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 t y)) (patch (/.f64 #s(literal -2 binary64) (-.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 y) (taylor 0 t) (#s(alt (-.f64 t y) (patch (-.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (- t y) (taylor 0 t) (#s(alt (-.f64 t y) (patch (-.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (- t y) (taylor 0 t) (#s(alt (-.f64 t y) (patch (-.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (- t y) (taylor 0 t) (#s(alt (-.f64 t y) (patch (-.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) 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 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) 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 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) #<representation binary64>) () ())) ()) |
#s(alt (/ 2 (* y z)) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) (patch (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) (taylor 0 t) (#s(alt (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) (patch (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) #<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) #s(approx (* (- y t) z) (*.f64 z y))) (patch (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) #<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) #s(approx (* (- y t) z) (*.f64 z y))) (patch (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) #<representation binary64>) () ())) ()) |
#s(alt (* y z) (taylor 0 t) (#s(alt #s(approx (* (- y t) z) (*.f64 z y)) (patch #s(approx (* (- y t) z) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt #s(approx (* (- y t) z) (*.f64 z y)) (patch #s(approx (* (- y t) z) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt #s(approx (* (- y t) z) (*.f64 z y)) (patch #s(approx (* (- y t) z) (*.f64 z y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1 (* t z)) (* y z)) (taylor 0 t) (#s(alt #s(approx (* (- y t) z) (*.f64 z y)) (patch #s(approx (* (- y t) z) (*.f64 z y)) #<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 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 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) (patch (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 2 (/ x (* y z))) (* 2 (/ (* t x) (* (pow y 2) z)))) (taylor 0 t) (#s(alt (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) (patch (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) 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 (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) (patch (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) 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 (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) (patch (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* 1/2 y) (taylor 0 t) (#s(alt #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y)) (patch #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 t) (* 1/2 y)) (taylor 0 t) (#s(alt #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y)) (patch #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 t) (* 1/2 y)) (taylor 0 t) (#s(alt #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y)) (patch #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -1/2 t) (* 1/2 y)) (taylor 0 t) (#s(alt #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y)) (patch #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x)) (patch (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x)) (patch (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x)) (patch (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor 0 t) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x)) (patch (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* y z))) (taylor 0 t) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x))) #<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 #s(literal -2 binary64) z) (/.f64 t x))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 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 #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 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 #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (/ t x) (taylor 0 t) (#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())) ()) |
#s(alt (/ t x) (taylor 0 t) (#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())) ()) |
#s(alt (/ t x) (taylor 0 t) (#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())) ()) |
#s(alt (/ t x) (taylor 0 t) (#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor inf t) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) (patch (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ (+ (* -2 (/ x z)) (* -2 (/ (* x y) (* t z)))) t) (taylor inf t) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) (patch (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) #<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 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) (patch (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) #<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 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) (patch (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -2 t) (taylor inf t) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 t y)) (patch (/.f64 #s(literal -2 binary64) (-.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -2 (/ y t)) 2) t) (taylor inf t) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 t y)) (patch (/.f64 #s(literal -2 binary64) (-.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -2 (/ (pow y 2) (pow t 2))) (+ 2 (* 2 (/ y t)))) t) (taylor inf t) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 t y)) (patch (/.f64 #s(literal -2 binary64) (-.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt (/ (- (* -2 (/ (pow y 3) (pow t 3))) (+ 2 (+ (* 2 (/ y t)) (* 2 (/ (pow y 2) (pow t 2)))))) t) (taylor inf t) (#s(alt (/.f64 #s(literal -2 binary64) (-.f64 t y)) (patch (/.f64 #s(literal -2 binary64) (-.f64 t y)) #<representation binary64>) () ())) ()) |
#s(alt t (taylor inf t) (#s(alt (-.f64 t y) (patch (-.f64 t y) #<representation binary64>) () ())) ()) |
#s(alt (* t (+ 1 (* -1 (/ y t)))) (taylor inf t) (#s(alt (-.f64 t y) (patch (-.f64 t y) #<representation binary64>) () ())) ()) |
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#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) (patch (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) #<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 (* z (- y t)))) (taylor -inf x) (#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 (* z (- y t)))) (taylor -inf x) (#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 (* z (- y t)))) (taylor -inf x) (#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 (* z (- y t)))) (taylor -inf x) (#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>) () ())) ()) |
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#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) (patch (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (* z (- y t)))) (taylor -inf x) (#s(alt (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) (patch (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (/ x z) (taylor -inf x) (#s(alt (/.f64 x z) (patch (/.f64 x z) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x)) (patch (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x)) (patch (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x)) (patch (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x)) #<representation binary64>) () ())) ()) |
#s(alt (* -2 (/ x (* t z))) (taylor -inf x) (#s(alt (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x)) (patch (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x)) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (* 2 (/ x (- (* y z) (* t z)))) (taylor -inf x) (#s(alt #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x))) (patch #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x))) #<representation binary64>) () ())) ()) |
#s(alt (/ t x) (taylor -inf x) (#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())) ()) |
#s(alt (/ t x) (taylor -inf x) (#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())) ()) |
#s(alt (/ t x) (taylor -inf x) (#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())) ()) |
#s(alt (/ t x) (taylor -inf x) (#s(alt (/.f64 t x) (patch (/.f64 t x) #<representation binary64>) () ())) ()) |
12 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 8.0ms | x | @ | -inf | ((/ (/ -2 (- t y)) (/ z x)) (/ -2 (- t y)) (- t y) (/ z x) (* (/ 2 (* (- y t) z)) x) (/ 2 (* (- y t) z)) (* (- y t) z) (* z y) (* x 2) (* (- y t) z) (- y t) (/ (* x 2) (* (- y t) z)) (/ (/ x z) (* (- y t) 1/2)) (/ x z) (* (- y t) 1/2) (* 1/2 y) (/ (/ -2 z) (/ t x)) (/ (* x 2) (- (* y z) (* t z))) (/ -2 z) (/ t x)) |
| 5.0ms | z | @ | inf | ((/ (/ -2 (- t y)) (/ z x)) (/ -2 (- t y)) (- t y) (/ z x) (* (/ 2 (* (- y t) z)) x) (/ 2 (* (- y t) z)) (* (- y t) z) (* z y) (* x 2) (* (- y t) z) (- y t) (/ (* x 2) (* (- y t) z)) (/ (/ x z) (* (- y t) 1/2)) (/ x z) (* (- y t) 1/2) (* 1/2 y) (/ (/ -2 z) (/ t x)) (/ (* x 2) (- (* y z) (* t z))) (/ -2 z) (/ t x)) |
| 3.0ms | z | @ | -inf | ((/ (/ -2 (- t y)) (/ z x)) (/ -2 (- t y)) (- t y) (/ z x) (* (/ 2 (* (- y t) z)) x) (/ 2 (* (- y t) z)) (* (- y t) z) (* z y) (* x 2) (* (- y t) z) (- y t) (/ (* x 2) (* (- y t) z)) (/ (/ x z) (* (- y t) 1/2)) (/ x z) (* (- y t) 1/2) (* 1/2 y) (/ (/ -2 z) (/ t x)) (/ (* x 2) (- (* y z) (* t z))) (/ -2 z) (/ t x)) |
| 3.0ms | z | @ | 0 | ((/ (/ -2 (- t y)) (/ z x)) (/ -2 (- t y)) (- t y) (/ z x) (* (/ 2 (* (- y t) z)) x) (/ 2 (* (- y t) z)) (* (- y t) z) (* z y) (* x 2) (* (- y t) z) (- y t) (/ (* x 2) (* (- y t) z)) (/ (/ x z) (* (- y t) 1/2)) (/ x z) (* (- y t) 1/2) (* 1/2 y) (/ (/ -2 z) (/ t x)) (/ (* x 2) (- (* y z) (* t z))) (/ -2 z) (/ t x)) |
| 3.0ms | x | @ | inf | ((/ (/ -2 (- t y)) (/ z x)) (/ -2 (- t y)) (- t y) (/ z x) (* (/ 2 (* (- y t) z)) x) (/ 2 (* (- y t) z)) (* (- y t) z) (* z y) (* x 2) (* (- y t) z) (- y t) (/ (* x 2) (* (- y t) z)) (/ (/ x z) (* (- y t) 1/2)) (/ x z) (* (- y t) 1/2) (* 1/2 y) (/ (/ -2 z) (/ t x)) (/ (* x 2) (- (* y z) (* t z))) (/ -2 z) (/ t x)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 489 | 6298 |
| 1 | 1541 | 6000 |
| 2 | 4602 | 5808 |
| 0 | 8159 | 5574 |
| 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 y) |
(+ (* 2 (/ t (pow y 2))) (* 2 (/ 1 y))) |
(+ (* t (+ (* 2 (/ t (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(+ (* t (+ (* t (+ (* 2 (/ t (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(* -1 y) |
(- t y) |
(- t y) |
(- t y) |
(* 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)))) |
(* y z) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(* 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)))) |
(+ (* 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)))))))) |
(* 1/2 y) |
(+ (* -1/2 t) (* 1/2 y)) |
(+ (* -1/2 t) (* 1/2 y)) |
(+ (* -1/2 t) (* 1/2 y)) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* 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)))))))) |
(/ t x) |
(/ t x) |
(/ t x) |
(/ t x) |
(* -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) |
(/ (- (* -2 (/ y t)) 2) t) |
(/ (- (* -2 (/ (pow y 2) (pow t 2))) (+ 2 (* 2 (/ y t)))) t) |
(/ (- (* -2 (/ (pow y 3) (pow t 3))) (+ 2 (+ (* 2 (/ y t)) (* 2 (/ (pow y 2) (pow t 2)))))) t) |
t |
(* t (+ 1 (* -1 (/ y t)))) |
(* t (+ 1 (* -1 (/ y t)))) |
(* t (+ 1 (* -1 (/ y 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) |
(* -1 (* t z)) |
(* t (+ (* -1 z) (/ (* y z) t))) |
(* t (+ (* -1 z) (/ (* y z) t))) |
(* t (+ (* -1 z) (/ (* y z) t))) |
(* -1 (* t z)) |
(* t (+ (* -1 z) (/ (* y z) t))) |
(* t (+ (* -1 z) (/ (* y z) t))) |
(* t (+ (* -1 z) (/ (* y z) 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 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)) |
(* -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) |
(/ t x) |
(/ t x) |
(/ t x) |
(/ t 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 t) |
(* -1 (/ (+ 2 (* 2 (/ y t))) t)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -2 (/ (pow y 2) t)) (* 2 y)) t))) t)) |
(* -1 (/ (+ 2 (* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow y 3) t)) (* -2 (pow y 2))) t)) (* 2 y)) t))) t)) |
t |
(* -1 (* t (- (/ y t) 1))) |
(* -1 (* t (- (/ y t) 1))) |
(* -1 (* t (- (/ y t) 1))) |
(* -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)) |
(* -1 (* t z)) |
(* -1 (* t (+ z (* -1 (/ (* y z) t))))) |
(* -1 (* t (+ z (* -1 (/ (* y z) t))))) |
(* -1 (* t (+ z (* -1 (/ (* y z) t))))) |
(* -1 (* t z)) |
(* -1 (* t (+ z (* -1 (/ (* y z) t))))) |
(* -1 (* t (+ z (* -1 (/ (* y z) t))))) |
(* -1 (* t (+ z (* -1 (/ (* y z) 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)) |
(* -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))))) |
(* -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 x) |
(/ t x) |
(/ t x) |
(/ t x) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(/ 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 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(* z (- y t)) |
(* z (- y t)) |
(* z (- y t)) |
(* z (- y t)) |
(* y z) |
(* y z) |
(* y z) |
(* 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)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ -2 z) |
(/ -2 z) |
(/ -2 z) |
(/ -2 z) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(/ 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 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(* z (- y t)) |
(* z (- y t)) |
(* z (- y t)) |
(* z (- y t)) |
(* y z) |
(* y z) |
(* y z) |
(* 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)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* -2 (/ x (* t z))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(* 2 (/ x (* z (- y t)))) |
(/ -2 z) |
(/ -2 z) |
(/ -2 z) |
(/ -2 z) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(/ 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 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(/ 2 (* z (- y t))) |
(* z (- y t)) |
(* z (- y t)) |
(* z (- y t)) |
(* z (- y t)) |
(* y z) |
(* y z) |
(* y z) |
(* 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)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x 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))))) |
(/ -2 z) |
(/ -2 z) |
(/ -2 z) |
(/ -2 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) |
(- (* -2 (/ y (pow t 2))) (* 2 (/ 1 t))) |
(- (* y (- (* -2 (/ y (pow t 3))) (* 2 (/ 1 (pow t 2))))) (* 2 (/ 1 t))) |
(- (* y (- (* y (- (* -2 (/ y (pow t 4))) (* 2 (/ 1 (pow t 3))))) (* 2 (/ 1 (pow t 2))))) (* 2 (/ 1 t))) |
t |
(+ t (* -1 y)) |
(+ t (* -1 y)) |
(+ t (* -1 y)) |
(* -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)))) |
(* -1 (* t z)) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(+ (* -1 (* t z)) (* y z)) |
(* y z) |
(* y z) |
(* y z) |
(* 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)))))))) |
(* -1/2 t) |
(+ (* -1/2 t) (* 1/2 y)) |
(+ (* -1/2 t) (* 1/2 y)) |
(+ (* -1/2 t) (* 1/2 y)) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* -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) |
(/ 2 y) |
(/ (+ 2 (* 2 (/ t y))) y) |
(/ (- (+ 2 (* 2 (/ (pow t 2) (pow y 2)))) (* -2 (/ t y))) y) |
(/ (- (+ 2 (* 2 (/ (pow t 3) (pow y 3)))) (+ (* -2 (/ t y)) (* -2 (/ (pow t 2) (pow y 2))))) y) |
(* -1 y) |
(* y (- (/ t y) 1)) |
(* y (- (/ t y) 1)) |
(* y (- (/ t y) 1)) |
(* 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) |
(* 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) |
(* 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) |
(* 1/2 y) |
(* y (+ 1/2 (* -1/2 (/ t y)))) |
(* y (+ 1/2 (* -1/2 (/ t y)))) |
(* y (+ 1/2 (* -1/2 (/ t y)))) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 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)) |
(/ 2 y) |
(* -1 (/ (- (* -2 (/ t y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (- (* 2 (/ (pow t 2) y)) (* -2 t)) y)) 2) y)) |
(* -1 (/ (- (* -1 (/ (- (* -1 (/ (- (* -2 (/ (pow t 3) y)) (* 2 (pow t 2))) y)) (* -2 t)) y)) 2) y)) |
(* -1 y) |
(* -1 (* y (+ 1 (* -1 (/ t y))))) |
(* -1 (* y (+ 1 (* -1 (/ t y))))) |
(* -1 (* y (+ 1 (* -1 (/ t 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)) |
(* 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) |
(* 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)) |
(* 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))) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 y) |
(* 1/2 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 (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(/ 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) |
(* 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)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -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 x) |
(/ t x) |
(/ t x) |
(/ t x) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(/ 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) |
(* 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)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -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 x) |
(/ t x) |
(/ t x) |
(/ t x) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(* -2 (/ x (* z (- t y)))) |
(/ 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) |
(* 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)))) |
(/ x z) |
(/ x z) |
(/ x z) |
(/ x z) |
(* -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 x) |
(/ t x) |
(/ t x) |
(/ t x) |
| 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))))))) |
(/ 2 y) |
(/.f64 #s(literal 2 binary64) y) |
(+ (* 2 (/ t (pow y 2))) (* 2 (/ 1 y))) |
(fma.f64 (/.f64 (/.f64 #s(literal 2 binary64) y) y) t (/.f64 #s(literal 2 binary64) y)) |
(+ (* t (+ (* 2 (/ t (pow y 3))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(fma.f64 (fma.f64 (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64))) t (/.f64 (/.f64 #s(literal 2 binary64) y) y)) t (/.f64 #s(literal 2 binary64) y)) |
(+ (* t (+ (* t (+ (* 2 (/ t (pow y 4))) (* 2 (/ 1 (pow y 3))))) (* 2 (/ 1 (pow y 2))))) (* 2 (/ 1 y))) |
(fma.f64 (fma.f64 (fma.f64 (/.f64 t (pow.f64 y #s(literal 4 binary64))) #s(literal 2 binary64) (/.f64 #s(literal 2 binary64) (pow.f64 y #s(literal 3 binary64)))) t (/.f64 (/.f64 #s(literal 2 binary64) y) y)) t (/.f64 #s(literal 2 binary64) y)) |
(* -1 y) |
(neg.f64 y) |
(- t y) |
(-.f64 t y) |
(- t y) |
(-.f64 t y) |
(- t y) |
(-.f64 t 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 (/.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))))))) |
(/ 2 (* y z)) |
(/.f64 (/.f64 #s(literal 2 binary64) y) z) |
(+ (* 2 (/ t (* (pow y 2) z))) (* 2 (/ 1 (* y z)))) |
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(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 t y) z) y) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 t y) z) y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* y z) |
(*.f64 z y) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 t y) z) y) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 t y) z) y) |
(* -1 (* y (+ (* -1 z) (/ (* t z) y)))) |
(*.f64 (fma.f64 (neg.f64 z) (/.f64 t y) z) y) |
y |
(* -1 (* y (- (/ t y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 t y)) y) |
(* -1 (* y (- (/ t y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 t y)) y) |
(* -1 (* y (- (/ t y) 1))) |
(*.f64 (-.f64 #s(literal 1 binary64) (/.f64 t y)) 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 (/.f64 t y) #s(literal 2 binary64) #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 t #s(literal 2 binary64)) (/.f64 x z) (*.f64 #s(literal 2 binary64) (/.f64 (*.f64 (/.f64 x z) (fma.f64 t t (/.f64 (pow.f64 t #s(literal 3 binary64)) y))) y))) (neg.f64 y))) (neg.f64 y)) |
(* 2 (/ x (* y z))) |
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(* -1 (/ (+ (* -2 (/ x z)) (* -2 (/ (* t x) (* y z)))) y)) |
(/.f64 (*.f64 (/.f64 x z) (fma.f64 (/.f64 t y) #s(literal 2 binary64) #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 (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) (fma.f64 t t (/.f64 (pow.f64 t #s(literal 3 binary64)) y))) y))) (neg.f64 y))) (neg.f64 y)) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* -1 (* y (- (* 1/2 (/ t y)) 1/2))) |
(*.f64 (fma.f64 (/.f64 t y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 y)) |
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(*.f64 (fma.f64 (/.f64 t y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 y)) |
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(*.f64 (fma.f64 (/.f64 t y) #s(literal 1/2 binary64) #s(literal -1/2 binary64)) (neg.f64 y)) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
(* 1/2 y) |
(*.f64 #s(literal 1/2 binary64) y) |
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(*.f64 #s(literal 1/2 binary64) 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)) |
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(/.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) (fma.f64 t t (/.f64 (pow.f64 t #s(literal 3 binary64)) y))) y))) (neg.f64 y))) (neg.f64 y)) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(/ 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) |
(*.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)) |
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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)) |
(/ x z) |
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(/ x z) |
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(/ x z) |
(/.f64 x z) |
(/ x z) |
(/.f64 x 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) (* 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)) |
(* 2 (/ x (- (* y z) (* t z)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(/ t x) |
(/.f64 t x) |
(/ t x) |
(/.f64 t x) |
(/ t x) |
(/.f64 t x) |
(/ t x) |
(/.f64 t x) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- t y)))) |
(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- t y)))) |
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(/ z x) |
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(/ z x) |
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(/ z x) |
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(* 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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(* 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)) |
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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
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(/ x z) |
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(/ x z) |
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(*.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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(*.f64 (/.f64 x (*.f64 (-.f64 y t) z)) #s(literal 2 binary64)) |
(/ t x) |
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(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(* -2 (/ x (* z (- t y)))) |
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(*.f64 (/.f64 x (*.f64 (-.f64 t y) z)) #s(literal -2 binary64)) |
(/ z x) |
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(/ z x) |
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(/ z x) |
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(/ z 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) |
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(* 2 x) |
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(* 2 x) |
(*.f64 x #s(literal 2 binary64)) |
(* 2 x) |
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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)) |
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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)) |
(* 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 (* 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)) |
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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 x) |
(/.f64 t x) |
(/ t x) |
(/.f64 t x) |
(/ t x) |
(/.f64 t x) |
(/ t x) |
(/.f64 t x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 35 | 136 |
| 0 | 52 | 134 |
| 1 | 187 | 134 |
| 2 | 1220 | 134 |
| 0 | 9180 | 134 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) |
(/.f64 #s(literal -2 binary64) (-.f64 t y)) |
(-.f64 t y) |
(/.f64 z x) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) |
(/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) |
#s(approx (* (- y t) z) (*.f64 z y)) |
(*.f64 z y) |
(*.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 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) |
(/.f64 x z) |
#s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y)) |
(*.f64 #s(literal 1/2 binary64) y) |
(/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x)) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x))) |
(/.f64 #s(literal -2 binary64) z) |
(/.f64 t x) |
| Outputs |
|---|
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Compiled 26 713 to 2 866 computations (89.3% saved)
15 alts after pruning (6 fresh and 9 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 736 | 5 | 1 741 |
| Fresh | 2 | 1 | 3 |
| Picked | 1 | 4 | 5 |
| Done | 2 | 5 | 7 |
| Total | 1 741 | 15 | 1 756 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 93.5% | (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z) |
| 53.8% | (/.f64 (/.f64 x #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z) | |
| ✓ | 55.5% | (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) |
| ✓ | 52.6% | (/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal -1/2 binary64) t))) |
| 92.4% | (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z))) | |
| ✓ | 91.5% | (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
| 52.9% | (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) | |
| ✓ | 52.3% | (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x t) #s(literal -2 binary64))) z) |
| 56.0% | (/.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) (/.f64 z x)) | |
| 91.3% | (*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 y t) z)) x) | |
| ✓ | 52.8% | (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) |
| 53.7% | (*.f64 #s(approx (/ 2 (* (- y t) z)) (/.f64 (/.f64 #s(literal 2 binary64) y) z)) x) | |
| ✓ | 52.1% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (/.f64 (/.f64 #s(literal -2 binary64) z) (/.f64 t x))) |
| ✓ | 52.3% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
| ✓ | 52.2% | #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) |
Compiled 407 to 244 computations (40% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 y t) z)) x) |
(/.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))) |
(*.f64 #s(approx (/ 2 (* (- y t) z)) (/.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) t))) |
(/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (/.f64 x #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z) |
(*.f64 (neg.f64 x) #s(approx (/ -2 (* (- y t) z)) (/.f64 (/.f64 #s(literal -2 binary64) y) z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 (neg.f64 z) t (*.f64 z y))) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z) 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 (/.f64 #s(literal -2 binary64) z) (/.f64 t x))) |
(/.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) (/.f64 z x)) |
(/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) |
(/.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (-.f64 y t) x)) |
(/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (*.f64 (/.f64 #s(literal -1 binary64) x) (neg.f64 z))) |
(/.f64 (-.f64 (*.f64 #s(literal 0 binary64) (*.f64 (-.f64 y t) z)) (*.f64 (*.f64 (neg.f64 z) (-.f64 y t)) (*.f64 #s(literal -2 binary64) x))) (*.f64 (*.f64 (neg.f64 z) (-.f64 y t)) (*.f64 (-.f64 y t) z))) |
(/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (+.f64 t y) (*.f64 (-.f64 y t) (pow.f64 (+.f64 t y) #s(literal -1 binary64))))) z) |
| Outputs |
|---|
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) |
(/.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (-.f64 y t) x)) |
7 calls:
| 17.0ms | t |
| 9.0ms | (*.f64 x #s(literal 2 binary64)) |
| 8.0ms | z |
| 8.0ms | x |
| 8.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 2 | x |
| 93.5% | 1 | y |
| 97.8% | 2 | z |
| 96.8% | 3 | t |
| 99.1% | 3 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 98.2% | 2 | (*.f64 x #s(literal 2 binary64)) |
| 98.3% | 3 | (-.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 #s(literal -2 binary64) (*.f64 z t)) x)) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 y t) z)) x) |
(/.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))) |
(*.f64 #s(approx (/ 2 (* (- y t) z)) (/.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) t))) |
(/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (/.f64 x #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z) |
(*.f64 (neg.f64 x) #s(approx (/ -2 (* (- y t) z)) (/.f64 (/.f64 #s(literal -2 binary64) y) z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 (neg.f64 z) t (*.f64 z y))) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z) 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 (/.f64 #s(literal -2 binary64) z) (/.f64 t x))) |
(/.f64 #s(approx (/ -2 (- t y)) (/.f64 #s(literal 2 binary64) y)) (/.f64 z x)) |
(/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) (/.f64 z x)) |
| Outputs |
|---|
(/.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) |
2 calls:
| 8.0ms | (*.f64 x #s(literal 2 binary64)) |
| 7.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 2 | x |
| 98.2% | 2 | (*.f64 x #s(literal 2 binary64)) |
Compiled 4 to 10 computations (-150% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 y t) z)) x) |
(/.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))) |
(*.f64 #s(approx (/ 2 (* (- y t) z)) (/.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) t))) |
(/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (/.f64 x #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z) |
(*.f64 (neg.f64 x) #s(approx (/ -2 (* (- y t) z)) (/.f64 (/.f64 #s(literal -2 binary64) y) z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 (neg.f64 z) t (*.f64 z y))) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z) x) |
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) |
3 calls:
| 48.0ms | (*.f64 x #s(literal 2 binary64)) |
| 7.0ms | x |
| 6.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.8% | 2 | z |
| 94.0% | 2 | x |
| 94.0% | 2 | (*.f64 x #s(literal 2 binary64)) |
Compiled 5 to 14 computations (-180% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 y t) z)) x) |
(/.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))) |
(*.f64 #s(approx (/ 2 (* (- y t) z)) (/.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) t))) |
(/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (/.f64 x #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z) |
(*.f64 (neg.f64 x) #s(approx (/ -2 (* (- y t) z)) (/.f64 (/.f64 #s(literal -2 binary64) y) z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 (neg.f64 z) t (*.f64 z y))) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z) x) |
| Outputs |
|---|
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z) x) |
7 calls:
| 58.0ms | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 19.0ms | (*.f64 x #s(literal 2 binary64)) |
| 6.0ms | z |
| 6.0ms | x |
| 6.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 92.3% | 1 | x |
| 92.3% | 1 | (*.f64 x #s(literal 2 binary64)) |
| 92.3% | 1 | y |
| 92.3% | 1 | t |
| 92.3% | 1 | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 92.3% | 1 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 92.3% | 1 | z |
Compiled 25 to 39 computations (-56% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 y t) z)) x) |
(/.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))) |
(*.f64 #s(approx (/ 2 (* (- y t) z)) (/.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) t))) |
(/.f64 (/.f64 x z) #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) |
(/.f64 (/.f64 x #s(approx (* (- y t) 1/2) (*.f64 #s(literal 1/2 binary64) y))) z) |
(*.f64 (neg.f64 x) #s(approx (/ -2 (* (- y t) z)) (/.f64 (/.f64 #s(literal -2 binary64) y) z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (fma.f64 (neg.f64 z) t (*.f64 z y))) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z) |
7 calls:
| 9.0ms | (*.f64 x #s(literal 2 binary64)) |
| 7.0ms | x |
| 6.0ms | y |
| 6.0ms | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 6.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.5% | 1 | z |
| 91.5% | 1 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 91.5% | 1 | x |
| 91.5% | 1 | t |
| 91.5% | 1 | (*.f64 x #s(literal 2 binary64)) |
| 91.5% | 1 | y |
| 93.1% | 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 #s(literal -2 binary64) (*.f64 z t)) x)) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 y t) z)) x) |
(/.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))) |
(*.f64 #s(approx (/ 2 (* (- y t) z)) (/.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) |
| Outputs |
|---|
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
2 calls:
| 7.0ms | y |
| 4.0ms | (-.f64 (*.f64 y z) (*.f64 t z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.5% | 1 | y |
| 91.5% | 1 | (-.f64 (*.f64 y z) (*.f64 t z)) |
Compiled 8 to 11 computations (-37.5% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 y t) z)) x) |
| Outputs |
|---|
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 y t) z)) x) |
7 calls:
| 4.0ms | z |
| 3.0ms | (*.f64 x #s(literal 2 binary64)) |
| 3.0ms | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 3.0ms | t |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 91.3% | 1 | z |
| 91.3% | 1 | x |
| 91.3% | 1 | (*.f64 x #s(literal 2 binary64)) |
| 91.3% | 1 | t |
| 91.3% | 1 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 91.3% | 1 | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 91.3% | 1 | y |
Compiled 25 to 39 computations (-56% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
| Outputs |
|---|
(/.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)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) |
7 calls:
| 5.0ms | x |
| 3.0ms | (*.f64 x #s(literal 2 binary64)) |
| 3.0ms | t |
| 3.0ms | z |
| 3.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 59.5% | 3 | z |
| 62.3% | 4 | x |
| 62.3% | 4 | (*.f64 x #s(literal 2 binary64)) |
| 79.1% | 3 | t |
| 56.1% | 2 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 59.6% | 4 | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 78.6% | 3 | y |
Compiled 25 to 39 computations (-56% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
(*.f64 (neg.f64 x) (/.f64 #s(literal -2 binary64) #s(approx (* (- y t) z) (*.f64 z y)))) |
| Outputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
1 calls:
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.1% | 3 | t |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) |
| Outputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
(*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) |
1 calls:
| 2.0ms | t |
| Accuracy | Segments | Branch |
|---|---|---|
| 79.0% | 3 | t |
Compiled 1 to 4 computations (-300% saved)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) |
#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:
| 2.0ms | (*.f64 x #s(literal 2 binary64)) |
| 2.0ms | t |
| 2.0ms | x |
| 2.0ms | y |
| 2.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.3% | 1 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 52.3% | 1 | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 52.3% | 1 | z |
| 52.3% | 1 | x |
| 52.3% | 1 | (*.f64 x #s(literal 2 binary64)) |
| 52.3% | 1 | y |
| 52.3% | 1 | t |
Compiled 25 to 39 computations (-56% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) |
| Outputs |
|---|
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) |
7 calls:
| 29.0ms | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 1.0ms | (*.f64 x #s(literal 2 binary64)) |
| 1.0ms | z |
| 1.0ms | t |
| 1.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 52.2% | 1 | t |
| 52.2% | 1 | x |
| 52.2% | 1 | (/.f64 (*.f64 x #s(literal 2 binary64)) (-.f64 (*.f64 y z) (*.f64 t z))) |
| 52.2% | 1 | (*.f64 x #s(literal 2 binary64)) |
| 52.2% | 1 | z |
| 52.2% | 1 | (-.f64 (*.f64 y z) (*.f64 t z)) |
| 52.2% | 1 | y |
Compiled 25 to 39 computations (-56% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.5258149280442698e+54 | 2.6341556679228955e+57 |
Compiled 14 to 17 computations (-21.4% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 4.683909702918844e+21 | 2.3643138451180905e+24 |
Compiled 14 to 17 computations (-21.4% saved)
| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 8.0ms | 181124281492449660.0 | 451034027386269630.0 |
| 5.0ms | 80× | 0 | valid |
Compiled 104 to 117 computations (-12.5% saved)
ival-mult: 2.0ms (76.2% of total)ival-div: 1.0ms (38.1% 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× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 3.444966247999532e+300 | +inf |
Compiled 14 to 17 computations (-21.4% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 96.0ms | 9.587645038019955e-41 | 2.2401938537089715e-24 |
| 5.0ms | -1.0236980070738266e+43 | -8.797370033678243e+42 |
| 93.0ms | 208× | 0 | valid |
Compiled 235 to 290 computations (-23.4% saved)
ival-mult: 4.0ms (61.3% of total)ival-sub: 1.0ms (15.3% of total)ival-div: 1.0ms (15.3% 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 | 9.587645038019955e-41 | 2.2401938537089715e-24 |
| 0.0ms | -1.0236980070738266e+43 | -8.797370033678243e+42 |
Compiled 222 to 277 computations (-24.8% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 9.587645038019955e-41 | 2.2401938537089715e-24 |
| 0.0ms | -1.0236980070738266e+43 | -8.797370033678243e+42 |
Compiled 222 to 277 computations (-24.8% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 81 | 344 |
| 1 | 104 | 344 |
| 2 | 117 | 344 |
| 3 | 124 | 344 |
| 4 | 128 | 344 |
| 5 | 129 | 344 |
| 1× | saturated |
| Inputs |
|---|
(if (<=.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2000000000000000156583080809192487684610720599772233728 binary64)) (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (-.f64 y t) x))) |
(if (<=.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 5000000000000000000000 binary64)) (/.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)) |
(if (<=.f64 z #s(literal 255000000000000000 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64)))) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z) x) |
(if (<=.f64 (-.f64 (*.f64 y z) (*.f64 t z)) #s(literal 5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 y t) z)) x) |
(if (<=.f64 t #s(literal -9599999999999999440550810281224581221974016 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) (if (<=.f64 t #s(literal 4676805239458889/1461501637330902918203684832716283019655932542976 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))))) |
(if (<=.f64 t #s(literal -9599999999999999440550810281224581221974016 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (if (<=.f64 t #s(literal 4676805239458889/1461501637330902918203684832716283019655932542976 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))))) |
(if (<=.f64 t #s(literal -9599999999999999440550810281224581221974016 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (if (<=.f64 t #s(literal 4676805239458889/1461501637330902918203684832716283019655932542976 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) #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 t z)) #s(literal -2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) |
| Outputs |
|---|
(if (<=.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 2000000000000000156583080809192487684610720599772233728 binary64)) (/.f64 (/.f64 x z) (*.f64 (-.f64 y t) #s(literal 1/2 binary64))) (/.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (-.f64 y t) x))) |
(if (<=.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 2000000000000000156583080809192487684610720599772233728 binary64)) (/.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 y t))) (/.f64 (/.f64 #s(literal 2 binary64) z) (/.f64 (-.f64 y t) x))) |
(if (<=.f64 (*.f64 x #s(literal 2 binary64)) #s(literal 5000000000000000000000 binary64)) (/.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)) |
(if (<=.f64 (*.f64 #s(literal 2 binary64) x) #s(literal 5000000000000000000000 binary64)) (/.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 y t))) (/.f64 (/.f64 (*.f64 #s(literal 2 binary64) x) (-.f64 y t)) z)) |
(if (<=.f64 z #s(literal 255000000000000000 binary64)) (/.f64 (*.f64 x #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 255000000000000000 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 y t) z)) (/.f64 (/.f64 x z) (*.f64 #s(literal 1/2 binary64) (-.f64 y t)))) |
(*.f64 (/.f64 (/.f64 #s(literal -2 binary64) (-.f64 t y)) z) x) |
(if (<=.f64 (-.f64 (*.f64 y z) (*.f64 t z)) #s(literal 5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z)) |
(if (<=.f64 (-.f64 (*.f64 y z) (*.f64 t z)) #s(literal 5000000000000000262523801276022101243522342905540795774579270577559012289944540978931856875402239320218522219164419390884712616176802152878223960923933534914241936004632879018689151168973940450296844766174853999725405595194838204400373263713900712472896293944100284214190578347360981934327297002700800 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 y t) z)) (/.f64 #s(approx (/ (* 2 x) (- y t)) (*.f64 (/.f64 x y) #s(literal 2 binary64))) z)) |
(/.f64 (*.f64 x #s(literal 2 binary64)) (*.f64 (-.f64 y t) z)) |
(/.f64 (*.f64 #s(literal 2 binary64) x) (*.f64 (-.f64 y t) z)) |
(*.f64 (/.f64 #s(literal 2 binary64) (*.f64 (-.f64 y t) z)) x) |
(if (<=.f64 t #s(literal -9599999999999999440550810281224581221974016 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) (if (<=.f64 t #s(literal 4676805239458889/1461501637330902918203684832716283019655932542976 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))))) |
(if (<=.f64 t #s(literal -9599999999999999440550810281224581221974016 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))) (if (<=.f64 t #s(literal 4676805239458889/1461501637330902918203684832716283019655932542976 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 y z))) (/.f64 (*.f64 #s(literal 2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 (neg.f64 t) z))))) |
(if (<=.f64 t #s(literal -9599999999999999440550810281224581221974016 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (if (<=.f64 t #s(literal 4676805239458889/1461501637330902918203684832716283019655932542976 binary64)) (/.f64 (*.f64 x #s(literal 2 binary64)) #s(approx (- (* y z) (* t z)) (*.f64 z y))) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))))) |
(if (<=.f64 t #s(literal -9599999999999999440550810281224581221974016 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (if (<=.f64 t #s(literal 4676805239458889/1461501637330902918203684832716283019655932542976 binary64)) (/.f64 (*.f64 #s(literal 2 binary64) x) #s(approx (- (* y z) (* t z)) (*.f64 y z))) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))))) |
(if (<=.f64 t #s(literal -9599999999999999440550810281224581221974016 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (if (<=.f64 t #s(literal 4676805239458889/1461501637330902918203684832716283019655932542976 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 z y))) x) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))))) |
(if (<=.f64 t #s(literal -9599999999999999440550810281224581221974016 binary64)) #s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 x (*.f64 t z)) #s(literal -2 binary64))) (if (<=.f64 t #s(literal 4676805239458889/1461501637330902918203684832716283019655932542976 binary64)) (*.f64 (/.f64 #s(literal 2 binary64) #s(approx (* (- y t) z) (*.f64 y z))) x) #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 t z)) #s(literal -2 binary64))) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 z t)) x)) |
#s(approx (/ (* x 2) (- (* y z) (* t z))) (*.f64 (/.f64 #s(literal -2 binary64) (*.f64 t z)) x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 44 | 192 |
| 0 | 65 | 190 |
| 1 | 223 | 158 |
| 2 | 1401 | 157 |
| 0 | 8575 | 157 |
| 0 | 488 | 6503 |
| 1 | 1534 | 6206 |
| 2 | 4680 | 5959 |
| 0 | 8262 | 5715 |
| 0 | 190 | 1157 |
| 1 | 621 | 1109 |
| 2 | 2090 | 1067 |
| 3 | 5449 | 1063 |
| 0 | 8463 | 1032 |
| 0 | 35 | 136 |
| 0 | 52 | 134 |
| 1 | 187 | 134 |
| 2 | 1220 | 134 |
| 0 | 9180 | 134 |
| 0 | 10 | 27 |
| 0 | 15 | 23 |
| 1 | 48 | 23 |
| 2 | 330 | 23 |
| 3 | 3469 | 23 |
| 0 | 8227 | 23 |
| 0 | 32 | 134 |
| 0 | 50 | 127 |
| 1 | 176 | 127 |
| 2 | 1047 | 127 |
| 0 | 8478 | 127 |
| 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 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 617 to 369 computations (40.2% saved)
(negabs z)
Compiled 1 040 to 510 computations (51% saved)
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