
Time bar (total: 8.6s)
| 1× | search |
| Probability | Valid | Unknown | Precondition | Infinite | Domain | Can't | Iter |
|---|---|---|---|---|---|---|---|
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 0 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 1 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 2 |
| 0% | 0% | 99.9% | 0.1% | 0% | 0% | 0% | 3 |
| 25% | 25% | 74.9% | 0.1% | 0% | 0% | 0% | 4 |
| 31.3% | 31.2% | 68.6% | 0.1% | 0% | 0% | 0% | 5 |
| 43.8% | 43.7% | 56.2% | 0.1% | 0% | 0% | 0% | 6 |
| 53.1% | 53% | 46.8% | 0.1% | 0% | 0% | 0% | 7 |
| 59.4% | 59.3% | 40.6% | 0.1% | 0% | 0% | 0% | 8 |
| 68% | 67.9% | 32% | 0.1% | 0% | 0% | 0% | 9 |
| 73.6% | 73.5% | 26.3% | 0.1% | 0% | 0% | 0% | 10 |
| 78.2% | 78.1% | 21.7% | 0.1% | 0% | 0% | 0% | 11 |
| 83.3% | 83.1% | 16.7% | 0.1% | 0% | 0% | 0% | 12 |
Compiled 14 to 12 computations (14.3% saved)
| 975.0ms | 8 256× | 0 | valid |
const: 241.0ms (35.5% of total)ival-mult: 146.0ms (21.5% of total)ival-div: 104.0ms (15.3% of total)ival-exp: 79.0ms (11.6% of total)ival-add: 57.0ms (8.4% of total)ival-sub: 41.0ms (6% of total)ival-true: 7.0ms (1% of total)ival-assert: 4.0ms (0.6% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 33 | 0 | - | 0 | - | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
| 6 | 0 | - | 0 | - | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) |
| 0 | 0 | - | 0 | - | #s(literal 5641895835477563/5000000000000000 binary64) |
| 0 | 0 | - | 0 | - | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 0 | 0 | - | 0 | - | z |
| 0 | 0 | - | 0 | - | (*.f64 x y) |
| 0 | 0 | - | 0 | - | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 0 | 0 | - | 0 | - | y |
| 0 | 0 | - | 0 | - | x |
| 0 | 0 | - | 0 | - | (exp.f64 z) |
| Operator | Subexpression | Explanation | Count | |
|---|---|---|---|---|
-.f64 | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) | nan-rescue | 6 | 0 |
| ↳ | (exp.f64 z) | overflow | 64 | |
| ↳ | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) | overflow | 64 | |
| ↳ | (*.f64 x y) | overflow | 38 | |
/.f64 | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) | n/u | 4 | 0 |
| ↳ | (exp.f64 z) | underflow | 58 | |
| ↳ | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) | underflow | 58 | |
| ↳ | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) | underflow | 4 | |
| ↳ | (*.f64 x y) | underflow | 29 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 10 | 0 |
| - | 0 | 246 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 10 | 0 | 0 |
| - | 0 | 0 | 246 |
| number | freq |
|---|---|
| 0 | 246 |
| 1 | 10 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 55.0ms | 512× | 0 | valid |
Compiled 145 to 44 computations (69.7% saved)
ival-add: 11.0ms (29.5% of total)const: 8.0ms (21.5% of total)ival-mult: 7.0ms (18.8% of total)ival-div: 4.0ms (10.7% of total)ival-exp: 4.0ms (10.7% of total)ival-sub: 2.0ms (5.4% of total)ival-true: 1.0ms (2.7% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 42 | 115 |
| 1 | 107 | 109 |
| 2 | 203 | 109 |
| 3 | 456 | 108 |
| 4 | 862 | 108 |
| 5 | 1476 | 108 |
| 6 | 2040 | 108 |
| 7 | 2403 | 108 |
| 8 | 2470 | 108 |
| 9 | 2493 | 108 |
| 10 | 2499 | 108 |
| 11 | 2499 | 108 |
| 0 | 10 | 12 |
| 0 | 16 | 12 |
| 1 | 24 | 12 |
| 2 | 36 | 12 |
| 3 | 48 | 12 |
| 4 | 71 | 12 |
| 5 | 101 | 12 |
| 6 | 160 | 12 |
| 7 | 231 | 12 |
| 8 | 330 | 12 |
| 9 | 439 | 12 |
| 10 | 600 | 12 |
| 11 | 616 | 12 |
| 12 | 631 | 12 |
| 13 | 674 | 12 |
| 0 | 674 | 11 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| 1× | saturated |
| Inputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| Outputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
(-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))) |
Compiled 12 to 10 computations (16.7% saved)
Compiled 0 to 3 computations (-∞% saved)
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 96.0% | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
Compiled 12 to 10 computations (16.7% saved)
| 1× | egg-herbie |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) | |
| cost-diff | 0 | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) | |
| cost-diff | 128 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 43 |
| 0 | 16 | 43 |
| 1 | 24 | 43 |
| 2 | 36 | 43 |
| 3 | 48 | 43 |
| 4 | 71 | 43 |
| 5 | 101 | 43 |
| 6 | 160 | 43 |
| 7 | 231 | 43 |
| 8 | 330 | 43 |
| 9 | 439 | 43 |
| 10 | 600 | 43 |
| 11 | 616 | 43 |
| 12 | 631 | 43 |
| 13 | 674 | 43 |
| 0 | 674 | 42 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
x |
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
y |
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(exp.f64 z) |
z |
(*.f64 x y) |
| Outputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
(-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))) |
x |
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
(/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) |
y |
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) |
(neg.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(exp.f64 z) |
z |
(*.f64 x y) |
(*.f64 y x) |
Found 4 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) | |
| accuracy | 0.0078125 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) | |
| accuracy | 1.1992187500000002 | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) | |
| accuracy | 7.865261786941263 | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
| 31.0ms | 256× | 0 | valid |
Compiled 88 to 22 computations (75% saved)
const: 6.0ms (37.5% of total)ival-mult: 3.0ms (18.7% of total)ival-div: 2.0ms (12.5% of total)ival-exp: 2.0ms (12.5% of total)ival-sub: 1.0ms (6.2% of total)ival-add: 1.0ms (6.2% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (patch (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (patch (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- 5641895835477563/5000000000000000 (* x y))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (patch (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (patch (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (patch (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) (patch (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) #<representation binary64>) () ())) ()) |
#s(alt (- 5641895835477563/5000000000000000 (* x y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt (- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y)) (taylor 0 z) (#s(alt (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) (patch (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) #<representation binary64>) () ())) ()) |
#s(alt 5641895835477563/5000000000000000 (taylor 0 z) (#s(alt (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (patch (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (taylor 0 z) (#s(alt (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (patch (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (taylor 0 z) (#s(alt (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (patch (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (taylor 0 z) (#s(alt (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (patch (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (taylor inf z) (#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (taylor inf z) (#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (taylor inf z) (#s(alt (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 3.0ms | z | @ | inf | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
| 2.0ms | x | @ | -inf | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
| 2.0ms | y | @ | inf | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
| 2.0ms | z | @ | 0 | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
| 1.0ms | x | @ | 0 | ((+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 303 | 1953 |
| 1 | 865 | 1933 |
| 2 | 2635 | 1849 |
| 0 | 8363 | 1764 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(/ y (- 5641895835477563/5000000000000000 (* x y))) |
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(- 5641895835477563/5000000000000000 (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y)) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
(* 5641895835477563/5000000000000000 (exp z)) |
x |
(+ x (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ x (* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) |
(+ x (* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z)))))) |
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(* y (+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x y) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(* y (+ (* y (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* (pow x 2) y) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(* y (+ (* y (- (* y (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* (pow x 3) y) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow x 2) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ x (pow (exp z) 2))))) (* 5000000000000000/5641895835477563 (/ 1 (exp z))))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(- x (/ 1 x)) |
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x)) |
(- (+ x (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))) |
(- (+ x (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x)))) |
(/ -1 x) |
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)) |
(- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x))) |
(- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) (pow y 3)))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (+ (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) (pow y 2)))) (/ 1 x)))) |
(* -1 (* x y)) |
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) |
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) |
(* y (- (* 5641895835477563/5000000000000000 (/ (exp z) y)) x)) |
(- x (/ 1 x)) |
(- (+ x (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y)))) (/ 1 x)) |
(- (+ x (* -1 (/ (+ (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y)))) y))) (/ 1 x)) |
(- (+ x (* -1 (/ (+ (* -1 (/ (+ (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* 5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y))) (/ 1 x)) |
(/ -1 x) |
(- (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 2) y))) (/ 1 x)) |
(- (* -1 (/ (- (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 3) y))) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x)) |
(- (* -1 (/ (- (* -1 (/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 4) y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow x 3)))) y)) (* -5641895835477563/5000000000000000 (/ (exp z) (pow x 2)))) y)) (/ 1 x)) |
(* -1 (* x y)) |
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x)))) |
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x)))) |
(* -1 (* y (- (* -5641895835477563/5000000000000000 (/ (exp z) y)) (* -1 x)))) |
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))))) |
(/ -1 x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x) |
(* -1 (* x y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (* x y)) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
| Outputs |
|---|
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) x) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(fma.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64)) z (+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) x)) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(fma.f64 (fma.f64 (neg.f64 z) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) x)) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) z (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))))) z (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) x)) |
(/ y (- 5641895835477563/5000000000000000 (* x y))) |
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
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Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 34 |
| 0 | 16 | 34 |
| 1 | 57 | 34 |
| 2 | 451 | 34 |
| 3 | 7453 | 34 |
| 0 | 8127 | 33 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
(/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
(-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Outputs |
|---|
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Compiled 12 154 to 1 174 computations (90.3% saved)
11 alts after pruning (11 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 376 | 11 | 387 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 377 | 11 | 388 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.4% | (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) |
| ▶ | 84.2% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| ▶ | 81.5% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| 79.9% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) | |
| 85.4% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) | |
| 98.4% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)))) | |
| ▶ | 65.9% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) |
| ▶ | 67.5% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
| 60.4% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)) | |
| 13.0% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) | |
| 59.7% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) |
Compiled 248 to 212 computations (14.5% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) | |
| cost-diff | 0 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) | |
| cost-diff | 0 | (*.f64 (neg.f64 y) x) | |
| cost-diff | 0 | #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)) | |
| cost-diff | 0 | (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) | |
| cost-diff | 128 | (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 303 |
| 0 | 64 | 303 |
| 1 | 101 | 303 |
| 2 | 129 | 303 |
| 3 | 212 | 303 |
| 4 | 344 | 303 |
| 5 | 439 | 303 |
| 6 | 569 | 303 |
| 7 | 773 | 303 |
| 8 | 1001 | 303 |
| 9 | 1268 | 303 |
| 10 | 1752 | 303 |
| 11 | 1898 | 303 |
| 12 | 2036 | 303 |
| 13 | 2105 | 303 |
| 14 | 2115 | 303 |
| 15 | 2120 | 303 |
| 0 | 2120 | 302 |
| 1× | iter limit |
| 1× | saturated |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) |
x |
(/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
y |
(fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(neg.f64 y) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(exp.f64 z) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
x |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) |
x |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))) |
y |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) |
#s(literal 5641895835477563/30000000000000000 binary64) |
z |
#s(literal 5641895835477563/10000000000000000 binary64) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
| Outputs |
|---|
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(-.f64 x (/.f64 y (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))) |
x |
(/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/.f64 (neg.f64 y) (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) |
y |
(fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 (neg.f64 y) x (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z))) |
(neg.f64 y) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
(exp.f64 z) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) |
x |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) |
(+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))) x) |
x |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))) |
y |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) x) |
(neg.f64 y) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(-.f64 x (/.f64 y (-.f64 (*.f64 y x) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
(/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
(fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(*.f64 y x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(-.f64 x (/.f64 y (-.f64 (*.f64 y x) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
(/.f64 y (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
(fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) |
#s(literal 5641895835477563/30000000000000000 binary64) |
z |
#s(literal 5641895835477563/10000000000000000 binary64) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(*.f64 y x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0390625 | (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) | |
| accuracy | 1.1992187500000002 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| accuracy | 7.865261786941263 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) | |
| accuracy | 19.61911458800305 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) | |
| accuracy | 0.09375 | (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) | |
| accuracy | 1.1992187500000002 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| accuracy | 7.865261786941263 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) | |
| accuracy | 29.917232709668987 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) | |
| accuracy | 7.865261786941263 | (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))) | |
| accuracy | 28.650862018192353 | #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0.00390625 | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) | |
| accuracy | 29.25209059949531 | #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0 | (exp.f64 z) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) | |
| accuracy | 0.0078125 | (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) | |
| accuracy | 7.865261786941263 | (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
| 132.0ms | 256× | 0 | valid |
Compiled 455 to 63 computations (86.2% saved)
ival-div: 39.0ms (51% of total)ival-mult: 13.0ms (17% of total)const: 12.0ms (15.7% of total)ival-add: 8.0ms (10.5% of total)ival-exp: 2.0ms (2.6% of total)ival-sub: 1.0ms (1.3% of total)ival-neg: 1.0ms (1.3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) (patch (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) (patch (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) (patch (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (patch (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) (patch #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)) #<representation binary64>) () ()) |
#s(alt (*.f64 (neg.f64 y) x) (patch (*.f64 (neg.f64 y) x) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) (patch (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (patch #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) (patch (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (patch #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (exp.f64 z) (patch (exp.f64 z) #<representation binary64>) () ()) |
#s(alt (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (+ x (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) (patch (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) (patch (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) (patch (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))) (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) (patch (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) (patch (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) (patch (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) (patch (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))) (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) (patch (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ())) ()) |
#s(alt (+ 5641895835477563/5000000000000000 (* -1 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) (patch (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) (patch (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) (patch (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) (patch (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (patch (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) (taylor 0 z) (#s(alt (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (patch (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) (taylor 0 z) (#s(alt (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (patch (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 4.0ms | y | @ | -inf | ((+ x (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)))) (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000))) (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)) (neg y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (* (exp z) 5641895835477563/5000000000000000) (exp z) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000)) |
| 3.0ms | z | @ | 0 | ((+ x (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)))) (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000))) (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)) (neg y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (* (exp z) 5641895835477563/5000000000000000) (exp z) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000)) |
| 2.0ms | z | @ | inf | ((+ x (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)))) (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000))) (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)) (neg y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (* (exp z) 5641895835477563/5000000000000000) (exp z) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000)) |
| 2.0ms | z | @ | -inf | ((+ x (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)))) (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000))) (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)) (neg y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (* (exp z) 5641895835477563/5000000000000000) (exp z) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000)) |
| 1.0ms | x | @ | 0 | ((+ x (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)))) (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000))) (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)) (neg y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/ -1 x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (neg y) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (* (exp z) 5641895835477563/5000000000000000) (exp z) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 382 | 9677 |
| 1 | 1154 | 9592 |
| 2 | 3123 | 9172 |
| 0 | 8479 | 8761 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(+ x (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))) (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))) |
(/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))) |
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) |
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))) (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) |
(+ 5641895835477563/5000000000000000 (* -1 (* x y))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z))))))) |
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(/ y (- 5641895835477563/5000000000000000 (* x y))) |
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(/ y (- 5641895835477563/5000000000000000 (* x y))) |
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(- 5641895835477563/5000000000000000 (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y)) |
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(/ y (- 5641895835477563/5000000000000000 (* x y))) |
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(- 5641895835477563/5000000000000000 (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y)) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(/ y (- 5641895835477563/5000000000000000 (* x y))) |
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(* 5000000000000000/5641895835477563 (/ y (exp z))) |
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(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))))) |
(/ -1 x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))) |
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))) |
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))))) |
(/ -1 x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))))) |
(/ -1 x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x) |
(* -1 (* x y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))))) |
(/ -1 x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x) |
(* -1 (* x y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))))) |
(/ -1 x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x) |
(* -1 (* x y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))) |
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))) |
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (* x y)) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
(* -1 (* x y)) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (* x y)) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (* x y)) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
| Outputs |
|---|
(+ x (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) |
(+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) x) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))) |
(fma.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64)) z (+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) x)) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))) |
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(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
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(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
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(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
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(/ -1 x) |
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(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
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(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
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(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
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(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
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(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
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(/ -1 x) |
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(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
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(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) x x) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
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(/ -1 x) |
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(/.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 z) y) x) #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
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(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
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(*.f64 (neg.f64 x) y) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 38 | 263 |
| 0 | 64 | 263 |
| 1 | 289 | 263 |
| 2 | 2183 | 263 |
| 0 | 9533 | 263 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) |
(neg.f64 y) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))) |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)) |
(*.f64 (neg.f64 y) x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) |
(exp.f64 z) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
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Compiled 25 612 to 2 245 computations (91.2% saved)
14 alts after pruning (12 fresh and 2 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 117 | 8 | 1 125 |
| Fresh | 2 | 4 | 6 |
| Picked | 3 | 2 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 122 | 14 | 1 136 |
| Status | Accuracy | Program |
|---|---|---|
| 86.2% | (fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x) | |
| 79.9% | (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))) | |
| ▶ | 84.2% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| ▶ | 67.5% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
| 85.4% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) | |
| ▶ | 98.4% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y)))) |
| ▶ | 51.1% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)))) |
| ✓ | 65.9% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) |
| 86.2% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))) | |
| 81.5% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))) | |
| ✓ | 67.5% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
| 60.4% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)) | |
| 13.0% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) | |
| ▶ | 59.7% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) |
Compiled 355 to 291 computations (18% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)))) | |
| cost-diff | 64 | (-.f64 #s(literal 0 binary64) (*.f64 y y)) | |
| cost-diff | 192 | (+.f64 #s(literal 0 binary64) y) | |
| cost-diff | 1024 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) | |
| cost-diff | 0 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) | |
| cost-diff | 0 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) | |
| cost-diff | 0 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) | |
| cost-diff | 0 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) | |
| cost-diff | 0 | (-.f64 (/.f64 x (*.f64 x x)) x) | |
| cost-diff | 0 | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) | |
| cost-diff | 128 | (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)) | |
| cost-diff | 320 | (/.f64 x (*.f64 x x)) | |
| cost-diff | 0 | #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y)) | |
| cost-diff | 0 | (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y)))) | |
| cost-diff | 704 | (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 490 |
| 0 | 86 | 472 |
| 1 | 147 | 464 |
| 2 | 260 | 442 |
| 3 | 509 | 442 |
| 4 | 1055 | 434 |
| 5 | 2927 | 434 |
| 6 | 5647 | 434 |
| 0 | 8169 | 416 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y)))) |
x |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y))) |
y |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y)) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y) |
(fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) |
(/.f64 (exp.f64 z) y) |
(exp.f64 z) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(neg.f64 x) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) |
(neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)) |
(-.f64 (/.f64 x (*.f64 x x)) x) |
(/.f64 x (*.f64 x x)) |
x |
(*.f64 x x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) |
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) |
(*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64)) |
(*.f64 z z) |
z |
#s(literal 5641895835477563/30000000000000000 binary64) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)))) |
x |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))) |
y |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) |
(-.f64 #s(literal 0 binary64) (*.f64 y y)) |
#s(literal 0 binary64) |
(*.f64 y y) |
(+.f64 #s(literal 0 binary64) y) |
| Outputs |
|---|
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y)))) |
(+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (neg.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))) x) |
x |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y))) |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (neg.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))))) |
y |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y)) |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (neg.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x)))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y) |
(neg.f64 (fma.f64 #s(literal -5641895835477563/5000000000000000 binary64) (exp.f64 z) (*.f64 y x))) |
(fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) (/.f64 (exp.f64 z) y) (neg.f64 x)) |
(/.f64 (exp.f64 z) y) |
(exp.f64 z) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(neg.f64 x) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (-.f64 x (/.f64 #s(literal 1 binary64) x))) |
(neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)) |
(-.f64 x (/.f64 #s(literal 1 binary64) x)) |
(-.f64 (/.f64 x (*.f64 x x)) x) |
(-.f64 (/.f64 #s(literal 1 binary64) x) x) |
(/.f64 x (*.f64 x x)) |
(/.f64 #s(literal 1 binary64) x) |
x |
(*.f64 x x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
(-.f64 x (/.f64 y (-.f64 (*.f64 y x) #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))) |
(/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) |
(fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) |
#s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) |
#s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)) |
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) |
(*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(*.f64 y x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(-.f64 x (/.f64 y (-.f64 (*.f64 y x) #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
(/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) z #s(literal 5641895835477563/5000000000000000 binary64))))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
(fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) z #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) z #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) |
#s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z))) |
(*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64)) |
(*.f64 #s(literal 5641895835477563/30000000000000000 binary64) (*.f64 z z)) |
(*.f64 z z) |
z |
#s(literal 5641895835477563/30000000000000000 binary64) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(*.f64 y x) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)))) |
(+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))) x) |
x |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))) |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))) |
y |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)) |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)) |
(*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x) |
(*.f64 (neg.f64 y) x) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) |
(neg.f64 y) |
(-.f64 #s(literal 0 binary64) (*.f64 y y)) |
(*.f64 (neg.f64 y) y) |
#s(literal 0 binary64) |
(*.f64 y y) |
(+.f64 #s(literal 0 binary64) y) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.00390625 | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)))) | |
| accuracy | 7.865261786941263 | (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))) | |
| accuracy | 28.650862018192353 | #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)) | |
| accuracy | 31.146710317336314 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) | |
| accuracy | 1.1992187500000002 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| accuracy | 7.865261786941263 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) | |
| accuracy | 19.61911458800305 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) | |
| accuracy | 32.341183693976454 | #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) | |
| accuracy | 1.1992187500000002 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) | |
| accuracy | 7.865261786941263 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))) | |
| accuracy | 29.917232709668987 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) | |
| accuracy | 32.38955704198468 | #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) | |
| accuracy | 0 | (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)) | |
| accuracy | 0.00390625 | (-.f64 (/.f64 x (*.f64 x x)) x) | |
| accuracy | 20.80406025191222 | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) | |
| accuracy | 32.1777066395986 | (/.f64 x (*.f64 x x)) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y)))) | |
| accuracy | 0.0859375 | (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) | |
| accuracy | 0.28795693871343825 | (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y) | |
| accuracy | 7.865261786941263 | (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y))) |
| 125.0ms | 256× | 0 | valid |
Compiled 604 to 81 computations (86.6% saved)
ival-mult: 21.0ms (31.6% of total)ival-sub: 14.0ms (21% of total)const: 12.0ms (18% of total)ival-add: 8.0ms (12% of total)ival-div: 7.0ms (10.5% of total)ival-exp: 2.0ms (3% of total)ival-neg: 2.0ms (3% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y) (patch (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y)) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 x (*.f64 x x)) (patch (/.f64 x (*.f64 x x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)) (patch (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) (patch #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 x (*.f64 x x)) x) (patch (-.f64 (/.f64 x (*.f64 x x)) x) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))) (patch (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (patch #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) (patch (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) (patch (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (patch #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) (patch (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) #<representation binary64>) () ()) |
#s(alt (+.f64 #s(literal 0 binary64) y) (patch (+.f64 #s(literal 0 binary64) y) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(literal 0 binary64) (*.f64 y y)) (patch (-.f64 #s(literal 0 binary64) (*.f64 y y)) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) (patch (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (patch #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) (patch #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x)) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y) (patch (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* 5641895835477563/5000000000000000 z) (* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y) (patch (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y) (patch (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ (* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (taylor 0 z) (#s(alt (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y) (patch (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y) #<representation binary64>) () ())) ()) |
#s(alt (+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y)))) #<representation binary64>) () ())) ()) |
#s(alt (+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y)))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- 5641895835477563/5000000000000000 (* x y))) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y))) #<representation binary64>) () ())) ()) |
#s(alt (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y))) #<representation binary64>) () ())) ()) |
#s(alt (- 5641895835477563/5000000000000000 (* x y)) (taylor 0 z) (#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y)) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y)) #<representation binary64>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)) #<representation binary64>) () ())) ()) |
#s(alt (/ -1 x) (taylor -inf x) (#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) (taylor -inf x) (#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) (taylor -inf x) (#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))) #<representation binary64>) () ())) ()) |
#s(alt (* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) (taylor -inf x) (#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))) #<representation binary64>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 6.0ms | z | @ | 0 | ((* (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ x (* x x)) (neg (- (/ x (* x x)) x)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (- (/ x (* x x)) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
| 4.0ms | z | @ | -inf | ((* (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ x (* x x)) (neg (- (/ x (* x x)) x)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (- (/ x (* x x)) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
| 2.0ms | z | @ | inf | ((* (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ x (* x x)) (neg (- (/ x (* x x)) x)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (- (/ x (* x x)) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
| 2.0ms | y | @ | -inf | ((* (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ x (* x x)) (neg (- (/ x (* x x)) x)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (- (/ x (* x x)) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
| 2.0ms | y | @ | inf | ((* (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ x (* x x)) (neg (- (/ x (* x x)) x)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (- (/ x (* x x)) x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* 5641895835477563/5000000000000000 (exp z)) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 363 | 9525 |
| 1 | 1068 | 9447 |
| 2 | 3175 | 9045 |
| 0 | 8230 | 8661 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x)) |
(+ (* 5641895835477563/5000000000000000 z) (* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x))) |
(+ (* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(+ (* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(/ y (- 5641895835477563/5000000000000000 (* x y))) |
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(- 5641895835477563/5000000000000000 (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y)) |
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(/ y (- 5641895835477563/5000000000000000 (* x y))) |
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(- 5641895835477563/5000000000000000 (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y)) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
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(* -1 (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))))) |
(* -1 (* x y)) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
| Outputs |
|---|
(* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x)) |
(*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) y) |
(+ (* 5641895835477563/5000000000000000 z) (* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) y)) |
(+ (* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) |
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) y)) |
(+ (* y (- (* 5641895835477563/5000000000000000 (/ 1 y)) x)) (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z (*.f64 (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) y)) |
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) x) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(fma.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 z (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) (+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(fma.f64 (fma.f64 (neg.f64 z) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))) z (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))))) z (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)) |
(/ y (- 5641895835477563/5000000000000000 (* x y))) |
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) |
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(fma.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 z (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) |
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(fma.f64 (fma.f64 (neg.f64 z) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))) z (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))))) z (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))) |
(- 5641895835477563/5000000000000000 (* x y)) |
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) |
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z)))) (* x y)) |
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) |
(- (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/5000000000000000 (* z (+ 5641895835477563/10000000000000000 (* 5641895835477563/30000000000000000 z)))))) (* x y)) |
(fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) |
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) x) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(fma.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 z (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) (+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(fma.f64 (fma.f64 (neg.f64 z) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))) z (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))))) z (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)) |
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
(+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) x) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(fma.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 z (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) (+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(fma.f64 (fma.f64 (neg.f64 z) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))) (- 5641895835477563/5000000000000000 (* x y)))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (- 5641895835477563/5000000000000000 (* x y)) 2))))) (/ y (- 5641895835477563/5000000000000000 (* x y))))) |
(fma.f64 (fma.f64 (neg.f64 (fma.f64 (fma.f64 (/.f64 (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) #s(literal -5641895835477563/5000000000000000 binary64) (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/30000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/50000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)))))) z (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) (+.f64 #s(literal 5641895835477563/10000000000000000 binary64) (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))))))) z (*.f64 (/.f64 y (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y)) #s(literal 2 binary64))) #s(literal -5641895835477563/5000000000000000 binary64))) z (+.f64 (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) x)) |
(/ y (- 5641895835477563/5000000000000000 (* x y))) |
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x y))) |
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
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(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
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x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
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(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
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(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
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(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
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(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
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(* -1 (* x (- 1 (/ 1 (pow x 2))))) |
(-.f64 (/.f64 x (*.f64 x x)) x) |
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(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
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(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
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(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
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(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) x x) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
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(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
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(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
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(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) x x) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
(fma.f64 (neg.f64 x) (-.f64 (/.f64 (/.f64 #s(literal 1 binary64) x) x) (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) (pow.f64 x #s(literal 3 binary64)))) x) |
(* -1 x) |
(neg.f64 x) |
(* -1 (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (/.f64 (exp.f64 z) y) #s(literal -1 binary64)) x) |
(* -1 (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))))) |
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(*.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (/.f64 (exp.f64 z) y) #s(literal -1 binary64)) x) |
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(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
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(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
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(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
(/ -1 x) |
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(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
(/.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 z) x) y) #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) x) (/.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) y)) y)) (neg.f64 x))) x) #s(literal -1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 55 | 413 |
| 0 | 86 | 398 |
| 1 | 377 | 374 |
| 2 | 3396 | 374 |
| 0 | 8541 | 359 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y) |
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#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) |
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(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)))) |
(fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) |
#s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) |
#s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)) |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x))) |
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Compiled 25 326 to 3 060 computations (87.9% saved)
8 alts after pruning (7 fresh and 1 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 230 | 3 | 1 233 |
| Fresh | 3 | 4 | 7 |
| Picked | 5 | 0 | 5 |
| Done | 1 | 1 | 2 |
| Total | 1 239 | 8 | 1 247 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 79.9% | (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))) |
| ▶ | 79.9% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y)))) |
| ▶ | 81.5% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))) |
| ✓ | 67.5% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
| 60.4% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)) | |
| 13.0% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) | |
| ▶ | 69.6% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) |
| ▶ | 20.2% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x))) |
Compiled 132 to 131 computations (0.8% saved)
| 1× | egg-herbie |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y) | |
| cost-diff | 0 | #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y)) | |
| cost-diff | 0 | (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y)))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))) | |
| cost-diff | 0 | (/.f64 #s(literal -1 binary64) x) | |
| cost-diff | 0 | #s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x)) | |
| cost-diff | 0 | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x))) | |
| cost-diff | 0 | (neg.f64 x) | |
| cost-diff | 0 | #s(approx (- (/ x (* x x)) x) (neg.f64 x)) | |
| cost-diff | 0 | (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x))) | |
| cost-diff | 0 | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) | |
| cost-diff | 0 | (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))) | |
| cost-diff | 320 | (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y) | |
| cost-diff | 384 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 348 |
| 0 | 66 | 343 |
| 1 | 106 | 333 |
| 2 | 150 | 327 |
| 3 | 248 | 327 |
| 4 | 548 | 325 |
| 5 | 1196 | 325 |
| 6 | 2712 | 325 |
| 7 | 5097 | 325 |
| 8 | 7006 | 325 |
| 0 | 8014 | 323 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y) |
(fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) |
(neg.f64 x) |
y |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(literal 5641895835477563/5000000000000000 binary64) |
z |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) |
(neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x))) |
#s(approx (- (/ x (* x x)) x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))) |
x |
(/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)))) |
y |
(fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) |
(neg.f64 y) |
#s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y)))) |
x |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y))) |
y |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y)) |
(*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y) |
#s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) |
(-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) |
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) |
#s(literal 5641895835477563/5000000000000000 binary64) |
| Outputs |
|---|
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))) |
(-.f64 x (/.f64 y (-.f64 (*.f64 y x) #s(approx (* (exp z) 5641895835477563/5000000000000000) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)) |
(/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))))) |
#s(literal 1 binary64) |
(/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y) |
(-.f64 (/.f64 #s(approx (* (exp z) 5641895835477563/5000000000000000) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) y) x) |
(fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) |
(fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(neg.f64 x) |
y |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) |
#s(approx (* (exp z) 5641895835477563/5000000000000000) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(literal 5641895835477563/5000000000000000 binary64) |
z |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) |
(neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x))) |
#s(approx (- (/ x (* x x)) x) (neg.f64 x)) |
(neg.f64 x) |
x |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
#s(literal -1 binary64) |
x |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)))) x) |
x |
(/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)))) |
y |
(fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) |
(neg.f64 y) |
#s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y)))) |
(+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y))) x) |
x |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y))) |
y |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y)) |
(*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y) |
#s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) |
(-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) |
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) |
#s(literal 5641895835477563/5000000000000000 binary64) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.265625 | (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) | |
| accuracy | 0.28795693871343825 | (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y) | |
| accuracy | 7.865261786941263 | (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y))) | |
| accuracy | 22.650900928711184 | #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.00390625 | (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))) | |
| accuracy | 7.865261786941263 | (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)))) | |
| accuracy | 30.499965666926112 | #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 20.80406025191222 | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x))) | |
| accuracy | 30.482568763650594 | #s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0 | (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x))) | |
| accuracy | 0 | (neg.f64 x) | |
| accuracy | 20.80406025191222 | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) | |
| accuracy | 33.15188402767735 | #s(approx (- (/ x (* x x)) x) (neg.f64 x)) | |
| accuracy | 0.09375 | (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) | |
| accuracy | 0.264551215267231 | (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)) | |
| accuracy | 7.844264205727829 | (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y) | |
| accuracy | 29.917232709668987 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) |
| 133.0ms | 256× | 0 | valid |
Compiled 406 to 70 computations (82.8% saved)
ival-sub: 34.0ms (33.4% of total)ival-mult: 31.0ms (30.5% of total)ival-div: 13.0ms (12.8% of total)const: 9.0ms (8.8% of total)ival-add: 8.0ms (7.9% of total)ival-neg: 4.0ms (3.9% of total)ival-exp: 2.0ms (2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)) #<representation binary64>) () ()) |
#s(alt (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y) (patch (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) (patch (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) (patch #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) #<representation binary64>) () ()) |
#s(alt (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x))) (patch (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (/ x (* x x)) x) (neg.f64 x)) (patch #s(approx (- (/ x (* x x)) x) (neg.f64 x)) #<representation binary64>) () ()) |
#s(alt (neg.f64 x) (patch (neg.f64 x) #<representation binary64>) () ()) |
#s(alt #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x))) (patch #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x)) (patch #s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal -1 binary64) x) (patch (/.f64 #s(literal -1 binary64) x) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))) (patch (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))) #<representation binary64>) () ()) |
#s(alt (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)))) (patch (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) (patch (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y)))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y)))) #<representation binary64>) () ()) |
#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y)) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y)) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y) (patch (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y) #<representation binary64>) () ()) |
#s(alt #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) (patch #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)) (patch #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) (patch #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (patch (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) #<representation binary64>) () ()) |
| Outputs |
|---|
#s(alt (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)) #<representation binary64>) () ())) ()) |
#s(alt (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (taylor 0 z) (#s(alt (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 2.0ms | z | @ | inf | ((/ 1 (/ (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))) y)) (/ (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))) y) (+ x (/ 1 (/ (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))) y))) (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg (- (/ x (* x x)) x)) (- (/ x (* x x)) x) (neg x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg (- (/ x (* x x)) x)) (/ -1 x) (+ x (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)))) (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000))) (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)) (neg y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) y) (* 5641895835477563/5000000000000000 (exp z)) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (* (exp z) 5641895835477563/5000000000000000) (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (/ 5641895835477563/5000000000000000 y)) |
| 2.0ms | z | @ | -inf | ((/ 1 (/ (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))) y)) (/ (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))) y) (+ x (/ 1 (/ (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))) y))) (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg (- (/ x (* x x)) x)) (- (/ x (* x x)) x) (neg x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg (- (/ x (* x x)) x)) (/ -1 x) (+ x (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)))) (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000))) (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)) (neg y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) y) (* 5641895835477563/5000000000000000 (exp z)) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (* (exp z) 5641895835477563/5000000000000000) (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (/ 5641895835477563/5000000000000000 y)) |
| 2.0ms | y | @ | -inf | ((/ 1 (/ (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))) y)) (/ (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))) y) (+ x (/ 1 (/ (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))) y))) (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg (- (/ x (* x x)) x)) (- (/ x (* x x)) x) (neg x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg (- (/ x (* x x)) x)) (/ -1 x) (+ x (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)))) (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000))) (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)) (neg y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) y) (* 5641895835477563/5000000000000000 (exp z)) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (* (exp z) 5641895835477563/5000000000000000) (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (/ 5641895835477563/5000000000000000 y)) |
| 2.0ms | y | @ | inf | ((/ 1 (/ (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))) y)) (/ (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))) y) (+ x (/ 1 (/ (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))) y))) (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg (- (/ x (* x x)) x)) (- (/ x (* x x)) x) (neg x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg (- (/ x (* x x)) x)) (/ -1 x) (+ x (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)))) (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000))) (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)) (neg y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) y) (* 5641895835477563/5000000000000000 (exp z)) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (* (exp z) 5641895835477563/5000000000000000) (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (/ 5641895835477563/5000000000000000 y)) |
| 1.0ms | x | @ | inf | ((/ 1 (/ (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))) y)) (/ (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))) y) (+ x (/ 1 (/ (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))) y))) (+ (* (neg x) y) (* 5641895835477563/5000000000000000 (exp z))) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg (- (/ x (* x x)) x)) (- (/ x (* x x)) x) (neg x) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg (- (/ x (* x x)) x)) (/ -1 x) (+ x (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)))) (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000))) (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)) (neg y) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) y) (* 5641895835477563/5000000000000000 (exp z)) (+ (* 5641895835477563/5000000000000000 z) 5641895835477563/5000000000000000) (* (exp z) 5641895835477563/5000000000000000) (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (/ 5641895835477563/5000000000000000 y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 404 | 8708 |
| 1 | 1213 | 8640 |
| 2 | 3307 | 8274 |
| 0 | 8395 | 7923 |
| 1× | iter limit |
| 1× | node limit |
| Inputs |
|---|
(/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))) |
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) |
(+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) |
(+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))) (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) |
(/ (+ 5641895835477563/5000000000000000 (* -1 (* x y))) y) |
(+ (* -1 x) (+ (* 5641895835477563/5000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y)))) |
(+ (* -1 x) (+ (* z (+ (* 5641895835477563/10000000000000000 (/ z y)) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y)))) |
(+ (* -1 x) (+ (* z (+ (* z (+ (* 5641895835477563/30000000000000000 (/ z y)) (* 5641895835477563/10000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y)))) (* 5641895835477563/5000000000000000 (/ 1 y)))) |
(+ x (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) |
(+ x (+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))) |
(+ x (+ (* z (- (* -1 (* z (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))) |
(+ x (+ (* z (- (* z (- (* -1 (* z (+ (* -5641895835477563/5000000000000000 (/ (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))) (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) (+ (* -31830988618379068626528276418969/50000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/30000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))))) (+ (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 3))) (* 5641895835477563/10000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2)))))) (* 5641895835477563/5000000000000000 (/ y (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))))) |
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(/ 5641895835477563/5000000000000000 y) |
(/ 5641895835477563/5000000000000000 y) |
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(* 5641895835477563/5000000000000000 (/ (exp z) y)) |
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))) |
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))) |
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))) |
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(/ -1 x) |
(/ (- (pow x 2) 1) x) |
(/ (- (pow x 2) 1) x) |
(/ (- (pow x 2) 1) x) |
(/ 1 x) |
(/ (+ 1 (* -1 (pow x 2))) x) |
(/ (+ 1 (* -1 (pow x 2))) x) |
(/ (+ 1 (* -1 (pow x 2))) x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(/ -1 x) |
(/ (- (pow x 2) 1) x) |
(/ (- (pow x 2) 1) x) |
(/ (- (pow x 2) 1) x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- 1 (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3)))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (+ 1 (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3)))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(* 5000000000000000/5641895835477563 (/ y (exp z))) |
(+ (* 25000000000000000000000000000000/31830988618379068626528276418969 (/ (* x (pow y 2)) (pow (exp z) 2))) (* 5000000000000000/5641895835477563 (/ y (exp z)))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* 125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (* x (pow y 3)) (pow (exp z) 3))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(+ (* 5000000000000000/5641895835477563 (/ y (exp z))) (* x (- (* x (- (* 625000000000000000000000000000000000000000000000000000000000000/1013211836423377808197068612118338110498536634308026710423022961 (/ (* x (pow y 4)) (pow (exp z) 4))) (* -125000000000000000000000000000000000000000000000/179587122125166574152748016388400639365587092547 (/ (pow y 3) (pow (exp z) 3))))) (* -25000000000000000000000000000000/31830988618379068626528276418969 (/ (pow y 2) (pow (exp z) 2)))))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(* 5641895835477563/5000000000000000 (exp z)) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 (exp z))) |
(* 5641895835477563/5000000000000000 (/ (exp z) y)) |
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))) |
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))) |
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))) |
(/ -1 x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x) |
(* -1 x) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1)) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))))) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))) |
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))) |
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- 1 (/ 1 (pow x 2)))) |
(* -1 x) |
(* x (- (/ 1 (pow x 2)) 1)) |
(* x (- (/ 1 (pow x 2)) 1)) |
(* x (- (/ 1 (pow x 2)) 1)) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- 1 (/ 1 (pow x 2)))) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))))) |
(/ -1 x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))) |
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))) |
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))) |
x |
(* x (- 1 (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y)))) (/ 1 (pow x 2)))) |
(* x (- (+ 1 (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 4) (pow y 2))))) (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))))) |
(/ -1 x) |
(/ (- (* -5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1) x) |
(/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2)))) (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))))) x) |
(/ (- (* -179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* (pow x 3) (pow y 3)))) (+ 1 (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) (* 31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* (pow x 2) (pow y 2))))))) x) |
(* -1 (* x y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(* -1 (* x y)) |
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))) |
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))) |
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))) |
(* -1 x) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1)) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 x) |
(* -1 (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))))) |
(* -1 (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))))) |
(* -1 (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))))) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))) |
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))) |
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 x) |
(* -1 (* x (- 1 (/ 1 (pow x 2))))) |
(* -1 (* x (- 1 (/ 1 (pow x 2))))) |
(* -1 (* x (- 1 (/ 1 (pow x 2))))) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
(* -1 x) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
(/ -1 x) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))) |
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))) |
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
(/ -1 x) |
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(* -1 (* x y)) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))) |
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))) |
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))) |
(* -1 x) |
(* -1 (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))))) |
(* -1 (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))))) |
(* -1 (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))))) |
| Outputs |
|---|
(/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))) |
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(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))) |
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(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ (exp z) x)))) |
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(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) (* x y))) 1)) |
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(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
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(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))) |
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(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
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(neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)) |
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(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
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x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)) |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)) |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)) |
(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
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(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(/ -1 x) |
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x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
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(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
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(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
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(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
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(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
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(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x)) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(fma.f64 (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) (/.f64 (/.f64 #s(literal -1 binary64) x) x)) x x) |
(* -1 (* x (- (+ (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) (pow x 3))) (/ 1 (pow x 2))) 1))) |
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(/ -1 x) |
(/.f64 #s(literal -1 binary64) x) |
(* -1 (/ (+ 1 (* 5641895835477563/5000000000000000 (/ (exp z) (* x y)))) x)) |
(/.f64 (fma.f64 (/.f64 (/.f64 (exp.f64 z) y) x) #s(literal -5641895835477563/5000000000000000 binary64) #s(literal -1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (* x (pow y 2)))) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(/.f64 (-.f64 (/.f64 (fma.f64 (/.f64 #s(literal -31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 y y)) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) (*.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64))) x) #s(literal 1 binary64)) x) |
(* -1 (/ (+ 1 (* -1 (/ (- (* -1 (/ (- (* 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 (/ (pow (exp z) 3) (* x (pow y 3)))) (* -31830988618379068626528276418969/25000000000000000000000000000000 (/ (pow (exp z) 2) (pow y 2)))) x)) (* 5641895835477563/5000000000000000 (/ (exp z) y))) x))) x)) |
(/.f64 (+.f64 (/.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal -5641895835477563/5000000000000000 binary64) (/.f64 (fma.f64 (/.f64 #s(literal 179587122125166574152748016388400639365587092547/125000000000000000000000000000000000000000000000 binary64) (pow.f64 y #s(literal 3 binary64))) (/.f64 (pow.f64 (exp.f64 z) #s(literal 3 binary64)) x) (/.f64 (*.f64 #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) y)) y)) (neg.f64 x))) x) #s(literal -1 binary64)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
(* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
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(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 y) x) |
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
(* -1 (* x (+ y (* -5641895835477563/5000000000000000 (/ (exp z) x))))) |
(*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 y)) x) |
(* -1 x) |
(neg.f64 x) |
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(*.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (/.f64 (exp.f64 z) y) #s(literal -1 binary64)) x) |
(* -1 (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (/.f64 (exp.f64 z) y) #s(literal -1 binary64)) x) |
(* -1 (* x (+ 1 (* -5641895835477563/5000000000000000 (/ (exp z) (* x y)))))) |
(*.f64 (fma.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) x) (/.f64 (exp.f64 z) y) #s(literal -1 binary64)) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 46 | 327 |
| 0 | 66 | 322 |
| 1 | 291 | 308 |
| 2 | 2327 | 308 |
| 0 | 8674 | 308 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y)) |
(/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y) |
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(fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) |
(neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x))) |
#s(approx (- (/ x (* x x)) x) (neg.f64 x)) |
(neg.f64 x) |
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#s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x)) |
(/.f64 #s(literal -1 binary64) x) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) |
(neg.f64 y) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y)))) |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y))) |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y)) |
(*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) |
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) |
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Compiled 19 558 to 2 081 computations (89.4% saved)
8 alts after pruning (3 fresh and 5 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 011 | 2 | 1 013 |
| Fresh | 1 | 1 | 2 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 1 | 1 |
| Total | 1 013 | 8 | 1 021 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 79.9% | (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))) |
| ✓ | 79.9% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y)))) |
| 79.8% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) x)) y)))) | |
| 79.9% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) y))) | |
| ✓ | 67.5% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
| 13.0% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) | |
| ✓ | 69.6% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) |
| ✓ | 20.2% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x))) |
Compiled 389 to 210 computations (46% saved)
| Inputs |
|---|
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) y))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y)))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) x)) y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (-.f64 (*.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64)) x) y)))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64) (neg.f64 x)) y)))) |
| Outputs |
|---|
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) |
6 calls:
| 12.0ms | y |
| 11.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 8.0ms | z |
| 8.0ms | x |
| 6.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.4% | 1 | x |
| 98.4% | 1 | y |
| 98.4% | 1 | z |
| 98.4% | 1 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 98.4% | 1 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 98.4% | 1 | (exp.f64 z) |
Compiled 21 to 29 computations (-38.1% saved)
| Inputs |
|---|
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) y))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y)))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) x)) y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| Outputs |
|---|
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
6 calls:
| 166.0ms | x |
| 8.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 8.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 7.0ms | y |
| 7.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.0% | 1 | x |
| 96.0% | 1 | y |
| 99.9% | 3 | z |
| 99.5% | 2 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 99.9% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 99.9% | 3 | (exp.f64 z) |
Compiled 21 to 29 computations (-38.1% saved)
| Inputs |
|---|
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) y))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) y)))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 #s(approx (+ (* (/ (exp z) y) 5641895835477563/5000000000000000) (neg x)) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) x)) y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) x)))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) y))) |
(fma.f64 (/.f64 y #s(literal -1 binary64)) (/.f64 #s(literal -1 binary64) (fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) y))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) |
4 calls:
| 7.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 6.0ms | z |
| 5.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 5.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | z |
| 99.9% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 99.9% | 3 | (exp.f64 z) |
| 96.1% | 4 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
Compiled 19 to 23 computations (-21.1% saved)
| Inputs |
|---|
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(approx (+ (* z 5641895835477563/5000000000000000) 5641895835477563/5000000000000000) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) |
3 calls:
| 26.0ms | (exp.f64 z) |
| 4.0ms | z |
| 3.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | z |
| 99.9% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 99.9% | 3 | (exp.f64 z) |
Compiled 7 to 13 computations (-85.7% saved)
| Inputs |
|---|
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) |
3 calls:
| 3.0ms | z |
| 2.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 2.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 99.9% | 3 | z |
| 99.9% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 99.9% | 3 | (exp.f64 z) |
Compiled 7 to 13 computations (-85.7% saved)
| Inputs |
|---|
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
6 calls:
| 5.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 2.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 2.0ms | z |
| 2.0ms | x |
| 2.0ms | y |
| Accuracy | Segments | Branch |
|---|---|---|
| 88.8% | 3 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 73.3% | 2 | x |
| 75.2% | 2 | y |
| 84.4% | 2 | z |
| 82.9% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 82.9% | 2 | (exp.f64 z) |
Compiled 21 to 29 computations (-38.1% saved)
| Inputs |
|---|
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x))) |
| Outputs |
|---|
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) |
6 calls:
| 4.0ms | x |
| 2.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 2.0ms | z |
| 2.0ms | y |
| 1.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 73.4% | 3 | x |
| 69.6% | 1 | y |
| 69.6% | 1 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 69.6% | 1 | (exp.f64 z) |
| 69.6% | 1 | z |
| 69.6% | 1 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
Compiled 21 to 29 computations (-38.1% saved)
Total -0.0b remaining (-0%)
Threshold costs -0b (-0%)
| Inputs |
|---|
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) |
| Outputs |
|---|
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) |
2 calls:
| 1.0ms | x |
| 1.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 69.6% | 1 | z |
| 69.6% | 1 | x |
Compiled 2 to 6 computations (-200% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 5.354226731193406e+237 | 1.4655748886297472e+247 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 650276.2871132236 |
| 0.0ms | 0.0 | 0.08855943591006668 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 650276.2871132236 |
| 0.0ms | 0.0 | 0.08855943591006668 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 19.0ms | 1.0 | 650276.2871132236 |
| 26.0ms | 0.0 | 0.08855943591006668 |
| 28.0ms | 368× | 0 | valid |
Compiled 374 to 430 computations (-15% saved)
const: 6.0ms (35.1% of total)ival-mult: 5.0ms (29.3% of total)ival-div: 3.0ms (17.6% of total)ival-sub: 2.0ms (11.7% of total)ival-add: 2.0ms (11.7% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 6.948975366112416e-5 | 6.478525063503856 |
| 0.0ms | -9.81038508629705 | -3.564979924734256e-6 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | binary-search |
| 1× | predicate-same |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 16.0ms | 4.097606590782562e-86 | 3.7762981412853255e-84 |
| 15.0ms | 3.75563616301857e-252 | 2.3671564731146003e-248 |
| 19.0ms | 240× | 0 | valid |
Compiled 165 to 256 computations (-55.2% saved)
const: 4.0ms (29.9% of total)ival-mult: 3.0ms (22.4% of total)ival-div: 2.0ms (15% of total)ival-exp: 2.0ms (15% of total)ival-sub: 1.0ms (7.5% of total)ival-add: 1.0ms (7.5% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | egg-herbie |
Useful iterations: 2 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 77 | 402 |
| 1 | 120 | 388 |
| 2 | 163 | 387 |
| 3 | 223 | 387 |
| 4 | 404 | 387 |
| 5 | 1131 | 387 |
| 6 | 1876 | 387 |
| 7 | 2362 | 387 |
| 8 | 2963 | 387 |
| 9 | 3801 | 387 |
| 10 | 5208 | 387 |
| 11 | 7208 | 387 |
| 1× | node limit |
| Inputs |
|---|
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 10000000000000000486475973287265010404848153099971055159735310397418651127357734700791903005570128910531738945888832142428584597165509708623196466454966148714674320981543085810557013220039375302073350623645891623631119178909006652304785408 binary64)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) y))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))))) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))))) |
(if (<=.f64 (exp.f64 z) #s(literal 3728080393916517/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (exp.f64 z) #s(literal 650000 binary64)) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))))) |
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal -5 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))))) |
(if (<=.f64 x #s(literal 6126462458238305/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) (if (<=.f64 x #s(literal 4199521391583383/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) |
| Outputs |
|---|
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)))) x) |
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 10000000000000000486475973287265010404848153099971055159735310397418651127357734700791903005570128910531738945888832142428584597165509708623196466454966148714674320981543085810557013220039375302073350623645891623631119178909006652304785408 binary64)) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)))) |
(if (<=.f64 (+.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) x) #s(literal 10000000000000000486475973287265010404848153099971055159735310397418651127357734700791903005570128910531738945888832142428584597165509708623196466454966148714674320981543085810557013220039375302073350623645891623631119178909006652304785408 binary64)) (+.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) x) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x)) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) y))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))))) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 (pow.f64 (/.f64 (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64))) y) #s(literal -1 binary64)) x) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))))) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))))) |
(if (<=.f64 (exp.f64 z) #s(literal 0 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 (exp.f64 z) #s(literal 2 binary64)) (+.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)))) x) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))))) |
(if (<=.f64 (exp.f64 z) #s(literal 3728080393916517/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (exp.f64 z) #s(literal 650000 binary64)) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))))) |
(if (<=.f64 (exp.f64 z) #s(literal 3728080393916517/8104522595470689372094546608771799123071184047348509570304018222052056272290836223436927829974812098219136497287696853871865529444163623648216552410378835326291370709768573288448 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 (exp.f64 z) #s(literal 650000 binary64)) (+.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 y x))) x) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))))) |
(if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal -5 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) #s(literal 7378697629483821/73786976294838206464 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))))) |
(if (or (<=.f64 (+.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) x) #s(literal -5 binary64)) (not (<=.f64 (+.f64 (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 y x))) x) #s(literal 7378697629483821/73786976294838206464 binary64)))) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x))))) |
(if (<=.f64 x #s(literal 6126462458238305/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) (if (<=.f64 x #s(literal 4199521391583383/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))))) |
(if (or (<=.f64 x #s(literal 6126462458238305/16122269626942909129404900662735492142298807557254685123533957184651913530173488143140175045399694454793530120643833272670970079330526292030350920973600450955456136596649325078391464772840162385651374295294530896122681527488756156580761624107880751845994219387748352 binary64)) (not (<=.f64 x #s(literal 4199521391583383/17498005798264095394980017816940970922825355447145699491406164851279623993595007385788105416184430592 binary64)))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) #s(approx (neg (- (/ x (* x x)) x)) (/.f64 #s(literal -1 binary64) x)))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 #s(approx (- (/ x (* x x)) x) (neg.f64 x)))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 363 | 9525 |
| 1 | 1068 | 9447 |
| 2 | 3175 | 9045 |
| 0 | 8230 | 8661 |
| 0 | 303 | 1953 |
| 1 | 865 | 1933 |
| 2 | 2635 | 1849 |
| 0 | 8363 | 1764 |
| 0 | 46 | 327 |
| 0 | 66 | 322 |
| 1 | 291 | 308 |
| 2 | 2327 | 308 |
| 0 | 8674 | 308 |
| 0 | 382 | 9677 |
| 1 | 1154 | 9592 |
| 2 | 3123 | 9172 |
| 0 | 8479 | 8761 |
| 0 | 10 | 34 |
| 0 | 16 | 34 |
| 1 | 57 | 34 |
| 2 | 451 | 34 |
| 3 | 7453 | 34 |
| 0 | 8127 | 33 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
Compiled 444 to 256 computations (42.3% saved)
Compiled 460 to 172 computations (62.6% saved)
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