
Time bar (total: 10.2s)
| 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)
| 1.4s | 8 256× | 0 | valid |
ival-mult: 233.0ms (27.7% of total)ival-exp: 215.0ms (25.6% of total)const: 190.0ms (22.6% of total)ival-sub: 89.0ms (10.6% of total)ival-div: 59.0ms (7% of total)ival-add: 45.0ms (5.3% of total)ival-true: 7.0ms (0.8% of total)ival-assert: 4.0ms (0.5% of total)| Ground Truth | Overpredictions | Example | Underpredictions | Example | Subexpression |
|---|---|---|---|---|---|
| 29 | 0 | - | 1 | (1.6064790109104937e-92 -2.5831090774660625e-222 -1.1455092554016488e+225) | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
| 3 | 0 | - | 3 | (-9.291921357042564e+209 -2.0075184796753367e+193 5.141631935593936e+159) | (-.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 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) | n/u | 5 | 0 |
| ↳ | (exp.f64 z) | underflow | 61 | |
| ↳ | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) | underflow | 61 | |
| ↳ | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) | underflow | 5 | |
| ↳ | (*.f64 x y) | underflow | 30 |
| Predicted + | Predicted - | |
|---|---|---|
| + | 5 | 3 |
| - | 0 | 248 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 5 | 0 | 3 |
| - | 0 | 0 | 248 |
| number | freq |
|---|---|
| 0 | 251 |
| 1 | 5 |
| Predicted + | Predicted Maybe | Predicted - | |
|---|---|---|---|
| + | 1 | 0 | 0 |
| - | 0 | 0 | 0 |
| 52.0ms | 512× | 0 | valid |
Compiled 231 to 84 computations (63.6% saved)
ival-mult: 9.0ms (27.7% of total)const: 8.0ms (24.6% of total)ival-exp: 6.0ms (18.5% of total)ival-div: 4.0ms (12.3% of total)ival-sub: 2.0ms (6.2% of total)ival-add: 2.0ms (6.2% of total)ival-true: 1.0ms (3.1% 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 | 452 | 108 |
| 4 | 842 | 108 |
| 5 | 1460 | 108 |
| 6 | 1986 | 108 |
| 7 | 2307 | 108 |
| 8 | 2374 | 108 |
| 9 | 2397 | 108 |
| 10 | 2403 | 108 |
| 11 | 2403 | 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 | 228 | 12 |
| 8 | 321 | 12 |
| 9 | 429 | 12 |
| 10 | 592 | 12 |
| 11 | 605 | 12 |
| 12 | 620 | 12 |
| 13 | 667 | 12 |
| 0 | 667 | 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 |
|---|---|---|
| ▶ | 97.1% | (+.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 | 228 | 43 |
| 8 | 321 | 43 |
| 9 | 429 | 43 |
| 10 | 592 | 43 |
| 11 | 605 | 43 |
| 12 | 620 | 43 |
| 13 | 667 | 43 |
| 0 | 667 | 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 | (exp.f64 z) | |
| accuracy | 0.0234375 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) | |
| accuracy | 0.4261229017236342 | (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)) | |
| accuracy | 6.757857039293198 | (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y))) |
| 25.0ms | 256× | 0 | valid |
Compiled 88 to 22 computations (75% saved)
ival-mult: 5.0ms (30.7% of total)const: 5.0ms (30.7% of total)ival-div: 2.0ms (12.3% of total)ival-exp: 2.0ms (12.3% of total)ival-sub: 1.0ms (6.1% of total)ival-add: 1.0ms (6.1% 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>) () ()) |
#s(alt (exp.f64 z) (patch (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 1 (taylor 0 z) (#s(alt (exp.f64 z) (patch (exp.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 z) (taylor 0 z) (#s(alt (exp.f64 z) (patch (exp.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (+ 1 (* 1/2 z)))) (taylor 0 z) (#s(alt (exp.f64 z) (patch (exp.f64 z) #<representation binary64>) () ())) ()) |
#s(alt (+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 z)))))) (taylor 0 z) (#s(alt (exp.f64 z) (patch (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>) () ())) ()) |
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#s(alt (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#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 (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#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 (* -1 (* x (- (* -5641895835477563/5000000000000000 (/ (exp z) x)) (* -1 y)))) (taylor -inf x) (#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>) () ())) ()) |
9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 211.0ms | y | @ | 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)) (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)) (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)) (exp z)) |
| 1.0ms | 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)) (exp z)) |
| 1.0ms | 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)) (exp z)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 316 | 1995 |
| 1 | 904 | 1975 |
| 2 | 2647 | 1891 |
| 0 | 8323 | 1801 |
| 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)))))) |
1 |
(+ 1 z) |
(+ 1 (* z (+ 1 (* 1/2 z)))) |
(+ 1 (* z (+ 1 (* z (+ 1/2 (* 1/6 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)) |
(exp z) |
(exp z) |
(exp z) |
(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)) |
(exp z) |
(exp z) |
(exp z) |
(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))))) |
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Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 10 | 36 |
| 0 | 16 | 36 |
| 1 | 57 | 36 |
| 2 | 451 | 36 |
| 3 | 7444 | 36 |
| 0 | 8118 | 35 |
| 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)) |
(exp.f64 z) |
| Outputs |
|---|
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Compiled 12 335 to 1 208 computations (90.2% saved)
12 alts after pruning (12 fresh and 0 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 388 | 12 | 400 |
| Fresh | 0 | 0 | 0 |
| Picked | 1 | 0 | 1 |
| Done | 0 | 0 | 0 |
| Total | 389 | 12 | 401 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 98.0% | (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) |
| 78.6% | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) (*.f64 x y)))) | |
| 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)))) | |
| ▶ | 82.2% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| 78.4% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) | |
| ▶ | 78.6% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
| 98.0% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal -5641895835477563/5000000000000000 binary64) y) (neg.f64 x))))) | |
| ▶ | 63.7% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) |
| ▶ | 65.7% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
| 67.0% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)) | |
| 14.7% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) | |
| 60.0% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (neg.f64 (-.f64 (/.f64 x (*.f64 x x)) x))) |
Compiled 276 to 236 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 #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 #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 #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 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) | |
| cost-diff | 0 | (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) | |
| cost-diff | 0 | #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) | |
| cost-diff | 0 | (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) | |
| 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 | 37 | 292 |
| 0 | 62 | 292 |
| 1 | 99 | 292 |
| 2 | 127 | 292 |
| 3 | 186 | 292 |
| 4 | 251 | 292 |
| 5 | 378 | 292 |
| 6 | 590 | 292 |
| 7 | 979 | 292 |
| 8 | 1482 | 292 |
| 9 | 1852 | 292 |
| 10 | 2205 | 292 |
| 11 | 2489 | 292 |
| 12 | 2618 | 292 |
| 13 | 2644 | 292 |
| 14 | 2657 | 292 |
| 15 | 2657 | 292 |
| 0 | 2657 | 291 |
| 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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
x |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
y |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) |
(*.f64 y x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #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 #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 #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 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(literal 5641895835477563/10000000000000000 binary64) |
z |
#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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))) x) |
x |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))))) |
y |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) |
(fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) |
(*.f64 y x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #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 #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 #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 #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 #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 #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 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(literal 5641895835477563/10000000000000000 binary64) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(*.f64 x y) |
(*.f64 y x) |
Found 19 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.0859375 | (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) | |
| accuracy | 0.4261229017236342 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| accuracy | 6.757857039293198 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) | |
| accuracy | 23.95490823998083 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) | |
| accuracy | 0.03159165172363414 | (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) | |
| accuracy | 0.08203125 | (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) | |
| accuracy | 6.757857039293198 | (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) | |
| accuracy | 25.68189516049694 | #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) | |
| accuracy | 0 | (*.f64 (neg.f64 y) x) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 6.757857039293198 | (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x))) | |
| accuracy | 30.359466556798044 | #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)) | |
| accuracy | 0 | (/.f64 #s(literal -1 binary64) x) | |
| accuracy | 0 | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) | |
| accuracy | 31.18071231441593 | #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) | |
| accuracy | 0 | (exp.f64 z) | |
| accuracy | 0.022267342648988643 | (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))) | |
| accuracy | 0.0234375 | (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)) | |
| accuracy | 6.757857039293198 | (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))) |
| 136.0ms | 256× | 0 | valid |
Compiled 427 to 61 computations (85.7% saved)
ival-mult: 48.0ms (48.9% of total)const: 32.0ms (32.6% of total)ival-add: 6.0ms (6.1% of total)ival-div: 5.0ms (5.1% of total)ival-exp: 2.0ms (2% of total)ival-sub: 2.0ms (2% of total)ival-neg: 1.0ms (1% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) (patch (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #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 #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 #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 #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 #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 #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 #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 #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 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) (patch (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) (patch (fma.f64 #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>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* 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)) (* (exp z) 5641895835477563/5000000000000000) (exp z) (- 5641895835477563/5000000000000000 (* y x)) (+ (* 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)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* 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)) (* (exp z) 5641895835477563/5000000000000000) (exp z) (- 5641895835477563/5000000000000000 (* y x)) (+ (* 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)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* 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)) (* (exp z) 5641895835477563/5000000000000000) (exp z) (- 5641895835477563/5000000000000000 (* y x)) (+ (* 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)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* 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)) (* (exp z) 5641895835477563/5000000000000000) (exp z) (- 5641895835477563/5000000000000000 (* y x)) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) |
| 1.0ms | x | @ | 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)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* 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)) (* (exp z) 5641895835477563/5000000000000000) (exp z) (- 5641895835477563/5000000000000000 (* y x)) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 413 | 9925 |
| 1 | 1247 | 9822 |
| 2 | 3289 | 9362 |
| 0 | 8499 | 8931 |
| 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))))) |
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(+ 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))))) |
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(/ y (- 5641895835477563/5000000000000000 (* x y))) |
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (- 5641895835477563/5000000000000000 (* x y)) 2))) (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
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(+ (* 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)))) |
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(- 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)))) |
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(- 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 (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) |
(+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) |
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5641895835477563/5000000000000000 |
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(* -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)) |
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))) |
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))) |
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))) |
| 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 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 z (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (+.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)))))) |
(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 (* -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)))))) |
(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 (* -1 (* x y)))) |
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) |
(fma.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 z (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 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))))) |
(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 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 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))))) |
(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 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(+ 5641895835477563/5000000000000000 (* -1 (* x y))) |
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) |
(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))) |
(+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 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 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(+ 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 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 z (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (+.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))) |
(+ (* -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 y x)) #s(literal 2 binary64))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 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)))) |
(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 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 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)))) |
(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 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(+ 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 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 z (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (+.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))))) |
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(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(-.f64 x (/.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(fma.f64 x (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) 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))) |
(neg.f64 (fma.f64 (/.f64 (fma.f64 (/.f64 (/.f64 (/.f64 (pow.f64 (exp.f64 z) #s(literal 2 binary64)) x) y) y) #s(literal 31830988618379068626528276418969/25000000000000000000000000000000 binary64) (*.f64 (/.f64 (exp.f64 z) y) #s(literal 5641895835477563/5000000000000000 binary64))) (pow.f64 x #s(literal 3 binary64))) x (-.f64 (/.f64 #s(literal 1 binary64) x) x))) |
(/ -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 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 (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)) (* -1 y)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x) |
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)) (* -1 y)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x) |
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)) (* -1 y)))) |
(*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(-.f64 x (/.f64 #s(literal 1 binary64) x)) |
(* -1 (* x (- (+ (* 5641895835477563/5000000000000000 (/ (exp z) (* (pow x 3) y))) (/ 1 (pow x 2))) 1))) |
(fma.f64 x (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) (pow.f64 x #s(literal 3 binary64))) (/.f64 (exp.f64 z) y) #s(literal 1 binary64)) (/.f64 #s(literal -1 binary64) 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 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) |
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))) |
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))) |
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) |
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))) |
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 37 | 260 |
| 0 | 62 | 260 |
| 1 | 279 | 260 |
| 2 | 2080 | 260 |
| 0 | 9266 | 260 |
| 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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))))) |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #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 #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 #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 #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) |
(-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) |
(fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) |
| Outputs |
|---|
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Compiled 25 217 to 2 378 computations (90.6% saved)
15 alts after pruning (12 fresh and 3 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 156 | 10 | 1 166 |
| Fresh | 5 | 2 | 7 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 0 | 0 |
| Total | 1 163 | 15 | 1 178 |
| Status | Accuracy | Program |
|---|---|---|
| ▶ | 78.6% | (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
| ▶ | 85.0% | (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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)))))) |
| ▶ | 78.4% | (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))) |
| ✓ | 82.2% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| 81.6% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) | |
| 62.9% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) (*.f64 (neg.f64 x) y)))))) | |
| 65.7% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) | |
| 47.9% | (+.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)))) | |
| ✓ | 63.7% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) |
| 83.7% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x))))) | |
| ▶ | 42.5% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
| ▶ | 78.7% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y))) |
| ✓ | 65.7% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
| 67.0% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)) | |
| 14.7% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
Compiled 337 to 285 computations (15.4% saved)
| 1× | egg-herbie |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| cost-diff | 0 | #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) | |
| cost-diff | 0 | (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y))) | |
| cost-diff | 704 | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y)) | |
| cost-diff | 0 | (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64)) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))) | |
| 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 | #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) | |
| cost-diff | 0 | (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 412 |
| 0 | 73 | 408 |
| 1 | 119 | 408 |
| 2 | 162 | 404 |
| 3 | 274 | 404 |
| 4 | 493 | 404 |
| 5 | 753 | 404 |
| 6 | 1134 | 404 |
| 7 | 1984 | 404 |
| 8 | 3322 | 404 |
| 9 | 3823 | 404 |
| 10 | 4156 | 404 |
| 11 | 4338 | 404 |
| 12 | 4419 | 404 |
| 13 | 4519 | 404 |
| 14 | 4686 | 404 |
| 15 | 4924 | 404 |
| 16 | 5315 | 404 |
| 17 | 6467 | 404 |
| 18 | 7364 | 404 |
| 19 | 7628 | 404 |
| 20 | 7628 | 404 |
| 21 | 7832 | 404 |
| 0 | 8034 | 402 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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)))) |
(neg.f64 y) |
#s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
x |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))) |
y |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) |
(*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+.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 (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
x |
(/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
y |
(fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(neg.f64 y) |
(*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) |
(+.f64 #s(literal 1 binary64) z) |
#s(literal 1 binary64) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y))) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y)) |
#s(literal 1 binary64) |
(/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y) |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))) |
#s(literal 5641895835477563/5000000000000000 binary64) |
z |
(fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) |
(neg.f64 y) |
y |
| Outputs |
|---|
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.f64 y (-.f64 (*.f64 x y) #s(approx (* (exp z) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
x |
(/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 y (fma.f64 (neg.f64 x) y #s(approx (* (exp z) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))))) |
y |
(fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (neg.f64 x) y #s(approx (* (exp z) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)))) |
(neg.f64 y) |
#s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (* (exp z) 5641895835477563/5000000000000000) (fma.f64 (fma.f64 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #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 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #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 (fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) |
(fma.f64 z #s(literal 5641895835477563/30000000000000000 binary64) #s(literal 5641895835477563/10000000000000000 binary64)) |
#s(literal 5641895835477563/30000000000000000 binary64) |
z |
#s(literal 5641895835477563/10000000000000000 binary64) |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))))) |
x |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))) |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z)))) |
y |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) |
#s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) |
#s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.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 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 x (/.f64 y (fma.f64 x (neg.f64 y) #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)))) |
(/.f64 y (fma.f64 x (neg.f64 y) #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))) |
(fma.f64 x (neg.f64 y) #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 (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(-.f64 x (/.f64 #s(literal 1 binary64) (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) #s(approx (exp z) (-.f64 z #s(literal -1 binary64))) x))) |
x |
(/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(/.f64 #s(literal -1 binary64) (fma.f64 (/.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) #s(approx (exp z) (-.f64 z #s(literal -1 binary64))) x)) |
y |
(fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 #s(approx (exp z) (-.f64 z #s(literal -1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 x (neg.f64 y))) |
(neg.f64 y) |
(*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(*.f64 #s(approx (exp z) (-.f64 z #s(literal -1 binary64))) #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) |
#s(approx (exp z) (-.f64 z #s(literal -1 binary64))) |
(+.f64 #s(literal 1 binary64) z) |
(-.f64 z #s(literal -1 binary64)) |
#s(literal 1 binary64) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
x |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y)) |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))))) |
#s(literal 1 binary64) |
(/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y) |
(/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)))) y) |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64))) |
#s(literal 5641895835477563/5000000000000000 binary64) |
z |
(fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)) |
(fma.f64 x (neg.f64 y) #s(literal 5641895835477563/5000000000000000 binary64)) |
(neg.f64 y) |
y |
Found 20 expressions of interest:
| New | Metric | Score | Program |
|---|---|---|---|
| accuracy | 0.08203125 | (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))) | |
| accuracy | 0.0859375 | (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y)) | |
| accuracy | 6.67354547729571 | (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y) | |
| accuracy | 25.68189516049694 | #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) | |
| accuracy | 0.022267342648988643 | (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))) | |
| accuracy | 0.0234375 | (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64)) | |
| accuracy | 6.757857039293198 | (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64)))) | |
| accuracy | 30.806110648244886 | #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) | |
| accuracy | 0 | (neg.f64 y) | |
| accuracy | 0.022267342648988643 | (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))) | |
| accuracy | 6.757857039293198 | (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)))) | |
| accuracy | 31.696032530466425 | #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)) | |
| accuracy | 0.19921875 | (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)) | |
| accuracy | 6.757857039293198 | (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))) | |
| accuracy | 25.68189516049694 | #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) | |
| accuracy | 40.25766668662664 | #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) | |
| accuracy | 0.03515625 | (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 | 0.0390625 | (fma.f64 (fma.f64 #s(literal 5641895835477563/30000000000000000 binary64) z #s(literal 5641895835477563/10000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64)) | |
| accuracy | 6.757857039293198 | (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 | 21.218921537083673 | #s(approx (* (exp z) 5641895835477563/5000000000000000) (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))) |
| 175.0ms | 256× | 0 | valid |
Compiled 556 to 74 computations (86.7% saved)
ival-mult: 108.0ms (75% of total)ival-add: 12.0ms (8.3% of total)const: 11.0ms (7.6% of total)ival-div: 7.0ms (4.9% of total)ival-exp: 2.0ms (1.4% of total)ival-sub: 2.0ms (1.4% of total)ival-neg: 1.0ms (0.7% 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 #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) (patch #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) #<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 (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))) (patch (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))) #<representation binary64>) () ()) |
#s(alt (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))) (patch (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64)) (patch (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y)) (patch (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y)) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y) (patch (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ()) |
#s(alt #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (* (exp z) 5641895835477563/5000000000000000) (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 (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>) () ()) |
#s(alt (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 (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 z #s(literal 5641895835477563/5000000000000000 binary64)) (patch (*.f64 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) (+.f64 #s(literal 1 binary64) z)) (patch #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #<representation binary64>) () ()) |
#s(alt (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64)))) (patch (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))) (patch (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #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 #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+ 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 #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+ 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 #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+ 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 #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+ (* -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 #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+ (* 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 #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+ (* 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 #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+ 5641895835477563/5000000000000000 (* -1 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+ 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 #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+ x (/ y (- 5641895835477563/5000000000000000 (* x y)))) (taylor 0 z) (#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) #<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)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) #<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)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) #<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)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) #<representation binary64>) () ())) ()) |
#s(alt (/ y (- 5641895835477563/5000000000000000 (* x y))) (taylor 0 z) (#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))) #<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)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))) #<representation binary64>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 7.0ms | 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))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y 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)) (+ x (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)))) (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)) (* (exp z) 5641895835477563/5000000000000000) (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)) (+ x (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y))) (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (exp z) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (+ (* (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) z) 5641895835477563/5000000000000000) (* z 5641895835477563/5000000000000000) (* (exp z) 5641895835477563/5000000000000000) (exp z) (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000))) (+ (* 5641895835477563/5000000000000000 z) (+ (* (neg y) x) 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))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y 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)) (+ x (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)))) (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)) (* (exp z) 5641895835477563/5000000000000000) (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)) (+ x (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y))) (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (exp z) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (+ (* (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) z) 5641895835477563/5000000000000000) (* z 5641895835477563/5000000000000000) (* (exp z) 5641895835477563/5000000000000000) (exp z) (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000))) (+ (* 5641895835477563/5000000000000000 z) (+ (* (neg y) x) 5641895835477563/5000000000000000))) |
| 2.0ms | 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))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y 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)) (+ x (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)))) (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)) (* (exp z) 5641895835477563/5000000000000000) (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)) (+ x (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y))) (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (exp z) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (+ (* (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) z) 5641895835477563/5000000000000000) (* z 5641895835477563/5000000000000000) (* (exp z) 5641895835477563/5000000000000000) (exp z) (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000))) (+ (* 5641895835477563/5000000000000000 z) (+ (* (neg y) x) 5641895835477563/5000000000000000))) |
| 1.0ms | 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))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y 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)) (+ x (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)))) (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)) (* (exp z) 5641895835477563/5000000000000000) (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)) (+ x (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y))) (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (exp z) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (+ (* (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) z) 5641895835477563/5000000000000000) (* z 5641895835477563/5000000000000000) (* (exp z) 5641895835477563/5000000000000000) (exp z) (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000))) (+ (* 5641895835477563/5000000000000000 z) (+ (* (neg y) x) 5641895835477563/5000000000000000))) |
| 1.0ms | 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))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y 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)) (+ x (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)))) (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000)) (* (exp z) 5641895835477563/5000000000000000) (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)) (+ x (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y))) (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (* (exp z) 5641895835477563/5000000000000000) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (+ (* (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) z) 5641895835477563/5000000000000000) (* z 5641895835477563/5000000000000000) (* (exp z) 5641895835477563/5000000000000000) (exp z) (/ y (+ (* (neg y) x) (* (exp z) 5641895835477563/5000000000000000))) (+ (* 5641895835477563/5000000000000000 z) (+ (* (neg y) x) 5641895835477563/5000000000000000))) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 475 | 11031 |
| 1 | 1471 | 10910 |
| 2 | 3997 | 10420 |
| 0 | 8256 | 9945 |
| 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)))) |
(- 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 (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x y)) |
(- (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) (* x 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)))))) |
(/ 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 (* -1 (* x y))))) |
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(* 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 (- (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x))) y)) |
(* x (- (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x))) y)) |
(* x (- (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 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 (+ (* -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 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) |
(/ (- (* -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) |
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) |
(* 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 y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ (exp z) x)) 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 y)) |
(* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x))))) |
(* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x))))) |
(* x (+ (* -1 y) (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 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 (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)) (* -1 y)))) |
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)) (* -1 y)))) |
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 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 (+ 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 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 (/ (+ 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)) |
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 (* 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)))))) |
(* -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)) |
(* -1 (* x y)) |
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x))))) |
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x))))) |
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x))))) |
| 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 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 z (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (+.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)))))) |
(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 (* -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)))))) |
(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 (* -1 (* x y)))) |
(/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x))) |
(+ (* -5641895835477563/5000000000000000 (/ (* y z) (pow (+ 5641895835477563/5000000000000000 (* -1 (* x y))) 2))) (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y))))) |
(fma.f64 (*.f64 #s(literal -5641895835477563/5000000000000000 binary64) y) (/.f64 z (pow.f64 (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)) #s(literal 2 binary64))) (/.f64 y (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 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))))) |
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(fma.f64 (-.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)))) (neg.f64 x) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -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) |
(/.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) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (*.f64 y y))) (neg.f64 x))) x) #s(literal -1 binary64)) x) |
x |
(* -1 (* x (- (/ 1 (pow x 2)) 1))) |
(fma.f64 (/.f64 (/.f64 #s(literal -1 binary64) x) 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 (-.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)))) (neg.f64 x) 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)))))) |
(*.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 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) |
(/.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) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (*.f64 y y))) (neg.f64 x))) x) #s(literal -1 binary64)) x) |
(* -1 (* x y)) |
(*.f64 (neg.f64 x) y) |
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x) |
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x) |
(* -1 (* x (+ y (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x))))) |
(*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x) |
Useful iterations: 1 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 45 | 371 |
| 0 | 73 | 367 |
| 1 | 358 | 363 |
| 2 | 2793 | 363 |
| 0 | 9108 | 363 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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)))))) |
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(fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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)))) |
(neg.f64 y) |
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(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))))) |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.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))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y)) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y))) |
(/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y) |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (* (exp z) 5641895835477563/5000000000000000) (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))) |
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(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 z #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) |
(/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64))) |
| Outputs |
|---|
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Compiled 28 917 to 2 755 computations (90.5% saved)
17 alts after pruning (10 fresh and 7 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 310 | 3 | 1 313 |
| Fresh | 0 | 7 | 7 |
| Picked | 1 | 4 | 5 |
| Done | 0 | 3 | 3 |
| Total | 1 311 | 17 | 1 328 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 78.6% | (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
| ✓ | 85.0% | (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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)))))) |
| ▶ | 84.3% | (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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)))))) |
| ✓ | 78.4% | (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))) |
| ✓ | 82.2% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| ▶ | 81.6% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| 62.9% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) (*.f64 (neg.f64 x) y)))))) | |
| ▶ | 65.7% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
| ▶ | 47.9% | (+.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)))) |
| ✓ | 63.7% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) |
| 83.7% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x))))) | |
| ✓ | 42.5% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
| 42.5% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) y))) | |
| ▶ | 78.4% | (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) |
| ✓ | 65.7% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
| 67.0% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)) | |
| 14.7% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
Compiled 333 to 287 computations (13.8% 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 (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) 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 (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) 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 (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) | |
| cost-diff | 0 | (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) | |
| cost-diff | 0 | #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) | |
| cost-diff | 0 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))) | |
| cost-diff | 0 | (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) | |
| cost-diff | 0 | (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64))) | |
| cost-diff | 0 | #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))) | |
| cost-diff | 0 | (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64))))) | |
| cost-diff | 0 | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) | |
| cost-diff | 0 | (neg.f64 y) | |
| cost-diff | 0 | (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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)))))) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 526 |
| 0 | 88 | 504 |
| 1 | 149 | 504 |
| 2 | 224 | 485 |
| 3 | 398 | 482 |
| 4 | 707 | 482 |
| 5 | 1690 | 482 |
| 6 | 3654 | 482 |
| 7 | 5091 | 482 |
| 8 | 6860 | 482 |
| 0 | 8027 | 464 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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)))))) |
x |
(/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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))))) |
y |
(fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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)))) |
(neg.f64 y) |
#s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
x |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
y |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64))) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
#s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))) |
#s(literal 1 binary64) |
#s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.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) |
y |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) |
(*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) |
#s(literal 5641895835477563/10000000000000000 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)))) |
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 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.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 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 y (fma.f64 (neg.f64 x) y #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 |
(fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (neg.f64 x) y #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)))) |
(neg.f64 y) |
#s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64))))) x) |
x |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
y |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64))) |
z |
#s(literal 5641895835477563/5000000000000000 binary64) |
#s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) |
(-.f64 x (/.f64 #s(literal -1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) |
x |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))) |
#s(literal 1 binary64) |
#s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.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) |
y |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) 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 (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
x |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) 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 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))))) |
y |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
(fma.f64 (neg.f64 x) y #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)))) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64)) |
#s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) |
(*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z) |
#s(literal 5641895835477563/10000000000000000 binary64) |
z |
#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 | (*.f64 y y) | |
| accuracy | 6.757857039293198 | (/.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 | 27.5818946983874 | (/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) | |
| accuracy | 30.359466556798044 | #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 | 0.4261229017236342 | (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) | |
| accuracy | 6.757857039293198 | (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) | |
| accuracy | 23.95490823998083 | #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) | |
| accuracy | 31.931182911548753 | #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) | |
| accuracy | 0.02377915172363414 | (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) | |
| accuracy | 0.0859375 | (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))) | |
| accuracy | 0.23046875 | (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) | |
| accuracy | 24.54619910209777 | #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) | |
| accuracy | 0.08203125 | (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64))) | |
| accuracy | 6.757857039293198 | (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64))))) | |
| accuracy | 25.68189516049694 | #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))) | |
| accuracy | 30.830168671721562 | #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)) | |
| accuracy | 0.09765625 | (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64)) | |
| accuracy | 6.757857039293198 | (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 | 21.218921537083673 | #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 | 31.925246942786252 | #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) |
| 147.0ms | 256× | 0 | valid |
Compiled 602 to 91 computations (84.9% saved)
ival-mult: 43.0ms (46.8% of total)ival-add: 19.0ms (20.7% of total)const: 11.0ms (12% of total)ival-div: 10.0ms (10.9% of total)ival-sub: 5.0ms (5.4% of total)ival-exp: 2.0ms (2.2% of total)ival-neg: 2.0ms (2.2% of total)ival-assert: 0.0ms (0% of total)ival-true: 0.0ms (0% of total)exact: 0.0ms (0% of total)| Inputs |
|---|
#s(alt (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (neg.f64 y) (patch (neg.f64 y) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) (patch (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) #<representation binary64>) () ()) |
#s(alt (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64))))) (patch (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64))))) #<representation binary64>) () ()) |
#s(alt #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))) (patch #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))) #<representation binary64>) () ()) |
#s(alt (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64))) (patch (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64))) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) (patch (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))) (patch (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))) #<representation binary64>) () ()) |
#s(alt #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) (patch #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) #<representation binary64>) () ()) |
#s(alt (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) (patch (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) #<representation binary64>) () ()) |
#s(alt (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) 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 (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) 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 (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) (patch (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) #<representation binary64>) () ()) |
#s(alt (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) (patch (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) #<representation binary64>) () ()) |
#s(alt #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (patch #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) 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 #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 (* (exp z) 5641895835477563/5000000000000000) (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 (* (exp z) 5641895835477563/5000000000000000) (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 z z) #s(literal 5641895835477563/30000000000000000 binary64)) (patch (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)) (patch #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)) #<representation binary64>) () ()) |
#s(alt (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) (patch (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) #<representation binary64>) () ()) |
#s(alt #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) (patch #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) #<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>) () ()) |
#s(alt (*.f64 y y) (patch (*.f64 y y) #<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 #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+ 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 #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+ 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 #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+ 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 #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/ y (+ 5641895835477563/5000000000000000 (* -1 (* x y)))) (taylor 0 z) (#s(alt (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+ (* -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 #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+ (* 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 #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+ (* 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 #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+ 5641895835477563/5000000000000000 (* -1 (* x y))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* 5641895835477563/5000000000000000 z))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+ 5641895835477563/5000000000000000 (+ (* -1 (* x y)) (* z (+ 5641895835477563/5000000000000000 (* 5641895835477563/10000000000000000 z))))) (taylor 0 z) (#s(alt (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (+ 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 #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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>) () ())) ()) |
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9 calls:
| Time | Variable | Point | Expression | |
|---|---|---|---|---|
| 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))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y))) (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)) (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (- (/ 5641895835477563/5000000000000000 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)) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (* (exp z) 5641895835477563/5000000000000000) (* (* z z) 5641895835477563/30000000000000000) (- 5641895835477563/5000000000000000 (* y x)) (/ 5641895835477563/5000000000000000 y) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (* y y)) |
| 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))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y))) (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)) (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (- (/ 5641895835477563/5000000000000000 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)) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (* (exp z) 5641895835477563/5000000000000000) (* (* z z) 5641895835477563/30000000000000000) (- 5641895835477563/5000000000000000 (* y x)) (/ 5641895835477563/5000000000000000 y) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (* y y)) |
| 2.0ms | 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))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y))) (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)) (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (- (/ 5641895835477563/5000000000000000 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)) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (* (exp z) 5641895835477563/5000000000000000) (* (* z z) 5641895835477563/30000000000000000) (- 5641895835477563/5000000000000000 (* y x)) (/ 5641895835477563/5000000000000000 y) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (* y y)) |
| 2.0ms | 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))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y))) (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)) (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (- (/ 5641895835477563/5000000000000000 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)) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (* (exp z) 5641895835477563/5000000000000000) (* (* z z) 5641895835477563/30000000000000000) (- 5641895835477563/5000000000000000 (* y x)) (/ 5641895835477563/5000000000000000 y) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (* y y)) |
| 1.0ms | y | @ | 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))) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (+ x (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y))) (/ 1 (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y)) (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (- (/ 5641895835477563/5000000000000000 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)) (/ (- 0 (* y y)) (+ 0 y)) (+ 0 y) (- 0 (* y y)) (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (* (exp z) 5641895835477563/5000000000000000) (* (* z z) 5641895835477563/30000000000000000) (- 5641895835477563/5000000000000000 (* y x)) (/ 5641895835477563/5000000000000000 y) (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (* y y)) |
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 440 | 10641 |
| 1 | 1336 | 10538 |
| 2 | 3594 | 10041 |
| 0 | 8164 | 9594 |
| 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)))))) |
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(+ (* 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) y)) |
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))) |
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))) |
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ (exp z) y))) |
(/ 5641895835477563/5000000000000000 y) |
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))) |
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 y))) |
(+ (* -1 x) (* 5641895835477563/5000000000000000 (/ 1 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)))))) |
5641895835477563/5000000000000000 |
(+ 5641895835477563/5000000000000000 (* -1 (* x y))) |
(+ 5641895835477563/5000000000000000 (* -1 (* x y))) |
(+ 5641895835477563/5000000000000000 (* -1 (* x y))) |
(* 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))) |
(+ (* 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)))))) |
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 (- (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x))) y)) |
(* x (- (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 1 x))) y)) |
(* x (- (+ (* 5641895835477563/5000000000000000 (/ z x)) (* 5641895835477563/5000000000000000 (/ 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) |
(* 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) |
(* x (- (* 5641895835477563/5000000000000000 (/ 1 (* x y))) 1)) |
(* x (- (* 5641895835477563/5000000000000000 (/ 1 (* x y))) 1)) |
(* x (- (* 5641895835477563/5000000000000000 (/ 1 (* 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) |
(/ (- (* -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 y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)) |
(* x (- (* 5641895835477563/5000000000000000 (/ 1 x)) y)) |
(* -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) |
(/ (- (* -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) |
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 (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)) (* -1 y)))) |
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 z)) x)) (* -1 y)))) |
(* -1 (* x (- (* -1 (/ (+ 5641895835477563/5000000000000000 (* 5641895835477563/5000000000000000 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) |
(* -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)))))) |
(* -1 x) |
(* -1 (* x (- 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))))) |
(* -1 (* x (- 1 (* 5641895835477563/5000000000000000 (/ 1 (* x y)))))) |
(* -1 (* x (- 1 (* 5641895835477563/5000000000000000 (/ 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 y)) |
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))) |
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 x)))) |
(* x (+ (* -1 y) (* 5641895835477563/5000000000000000 (/ 1 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) |
(* -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 |
|---|
(+ 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)))))) |
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(/.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) (pow.f64 (exp.f64 z) #s(literal 2 binary64))) (*.f64 y y))) (neg.f64 x))) x) #s(literal -1 binary64)) x) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 455 |
| 0 | 88 | 436 |
| 1 | 406 | 424 |
| 2 | 3351 | 424 |
| 0 | 8625 | 409 |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| Inputs |
|---|
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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)))) |
(neg.f64 y) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
#s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))) |
(fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) |
(/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x))) |
#s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)) |
(-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))) |
(-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)) |
#s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) |
(/.f64 (-.f64 #s(literal 0 binary64) (*.f64 y y)) (+.f64 #s(literal 0 binary64) y)) |
(+.f64 #s(literal 0 binary64) y) |
(-.f64 #s(literal 0 binary64) (*.f64 y 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)))) |
#s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64))) |
#s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (*.f64 z z) #s(literal 5641895835477563/30000000000000000 binary64)) |
#s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)) |
(/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) |
#s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) |
#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))) |
(*.f64 y y) |
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Compiled 28 105 to 3 384 computations (88% saved)
21 alts after pruning (11 fresh and 10 done)
| Pruned | Kept | Total | |
|---|---|---|---|
| New | 1 353 | 6 | 1 359 |
| Fresh | 0 | 5 | 5 |
| Picked | 2 | 3 | 5 |
| Done | 0 | 7 | 7 |
| Total | 1 355 | 21 | 1 376 |
| Status | Accuracy | Program |
|---|---|---|
| ✓ | 78.6% | (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
| ✓ | 85.0% | (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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)))))) |
| ✓ | 84.3% | (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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)))))) |
| 84.3% | (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z) z)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) | |
| ✓ | 78.4% | (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) #s(literal 5641895835477563/5000000000000000 binary64))))) |
| ✓ | 82.2% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| ✓ | 81.6% | (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
| 62.9% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) (*.f64 (neg.f64 x) y)))))) | |
| ✓ | 65.7% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
| 65.7% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) | |
| 41.6% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)))) | |
| 47.4% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (*.f64 (neg.f64 y) y) y) x)))) | |
| ✓ | 63.7% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (neg.f64 y) x)))) |
| 83.7% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x))))) | |
| ✓ | 42.5% | (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
| 42.5% | (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) y))) | |
| 78.4% | (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) x)))) | |
| 60.2% | (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (- (/ 5641895835477563/5000000000000000 y) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))) | |
| ✓ | 65.7% | (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
| 67.0% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)) | |
| 14.7% | #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
Compiled 677 to 413 computations (39% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
#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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.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 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (- (/ 5641895835477563/5000000000000000 y) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) (*.f64 (neg.f64 x) y)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) y))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) x)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #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 (neg.f64 y) y) y) x)))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z) z)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) 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 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.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 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) 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 (fma.f64 (/.f64 (exp.f64 z) x) #s(literal -5641895835477563/5000000000000000 binary64) y) (neg.f64 x))))) |
| 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 (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64))))) |
6 calls:
| 10.0ms | y |
| 9.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 9.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 9.0ms | x |
| 9.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.0% | 1 | x |
| 98.0% | 1 | y |
| 99.9% | 2 | z |
| 98.0% | 1 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 99.9% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 99.9% | 2 | (exp.f64 z) |
Compiled 21 to 29 computations (-38.1% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
#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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.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 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (- (/ 5641895835477563/5000000000000000 y) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) (*.f64 (neg.f64 x) y)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) y))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) x)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #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 (neg.f64 y) y) y) x)))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z) z)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) 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 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.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 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) 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:
| 11.0ms | x |
| 10.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 9.0ms | z |
| 9.0ms | y |
| 7.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.1% | 1 | x |
| 97.1% | 1 | y |
| 99.4% | 2 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 99.1% | 2 | z |
| 99.1% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 99.1% | 2 | (exp.f64 z) |
Compiled 21 to 29 computations (-38.1% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
#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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.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 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (- (/ 5641895835477563/5000000000000000 y) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) (*.f64 (neg.f64 x) y)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) y))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) x)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #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 (neg.f64 y) y) y) x)))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z) z)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) 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 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.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 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) 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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y x)) |
6 calls:
| 10.0ms | x |
| 10.0ms | (exp.f64 z) |
| 9.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 8.0ms | y |
| 8.0ms | z |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.0% | 1 | y |
| 85.0% | 1 | x |
| 99.9% | 3 | z |
| 99.9% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 99.9% | 3 | (exp.f64 z) |
| 94.0% | 3 | (+.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)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
#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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.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 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (- (/ 5641895835477563/5000000000000000 y) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) (*.f64 (neg.f64 x) y)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) y))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) x)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #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 (neg.f64 y) y) y) x)))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z) z)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) 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 (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.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 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (*.f64 (/.f64 (/.f64 (*.f64 (neg.f64 y) (*.f64 (neg.f64 y) y)) (neg.f64 y)) (+.f64 #s(literal 0 binary64) y)) x)))) |
#s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (*.f64 (/.f64 y (exp.f64 z)) #s(literal 5000000000000000/5641895835477563 binary64))) |
| 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) (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)))))) |
3 calls:
| 41.0ms | z |
| 6.0ms | (exp.f64 z) |
| 6.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 97.2% | 2 | z |
| 97.2% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 97.2% | 2 | (exp.f64 z) |
Compiled 7 to 13 computations (-85.7% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
#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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.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 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (- (/ 5641895835477563/5000000000000000 y) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) (*.f64 (neg.f64 x) y)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) y))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) x)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #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 (neg.f64 y) y) y) x)))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z) z)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) 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)))) |
| 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)) (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)))) |
3 calls:
| 7.0ms | z |
| 6.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 6.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.8% | 2 | z |
| 96.8% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 96.8% | 2 | (exp.f64 z) |
Compiled 7 to 13 computations (-85.7% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
#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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.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 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (- (/ 5641895835477563/5000000000000000 y) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) (*.f64 (neg.f64 x) y)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) y))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) x)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #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 (neg.f64 y) y) y) x)))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z) z)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x))))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x))))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z) z)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
3 calls:
| 7.0ms | z |
| 5.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 5.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 98.2% | 3 | z |
| 96.6% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 96.6% | 2 | (exp.f64 z) |
Compiled 7 to 13 computations (-85.7% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
#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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.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 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (- (/ 5641895835477563/5000000000000000 y) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) (*.f64 (neg.f64 x) y)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) y))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) x)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #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 (neg.f64 y) y) y) x)))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z) z)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) 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) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z) z)) z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
3 calls:
| 50.0ms | (exp.f64 z) |
| 7.0ms | z |
| 5.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 96.6% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 96.6% | 2 | (exp.f64 z) |
| 96.6% | 2 | z |
Compiled 7 to 13 computations (-85.7% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
#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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.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 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (- (/ 5641895835477563/5000000000000000 y) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) (*.f64 (neg.f64 x) y)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) y))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) x)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #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 (neg.f64 y) y) y) x)))) |
| 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)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
3 calls:
| 6.0ms | z |
| 5.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 5.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 95.2% | 2 | z |
| 95.2% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 95.2% | 2 | (exp.f64 z) |
Compiled 7 to 13 computations (-85.7% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
#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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.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 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (- (/ 5641895835477563/5000000000000000 y) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) (*.f64 (neg.f64 x) y)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) y))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) x)))) |
(+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) 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)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y)))) |
3 calls:
| 36.0ms | (exp.f64 z) |
| 5.0ms | z |
| 4.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 94.6% | 2 | z |
| 94.6% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 94.6% | 2 | (exp.f64 z) |
Compiled 7 to 13 computations (-85.7% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
#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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.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 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (- (/ 5641895835477563/5000000000000000 y) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) (*.f64 (neg.f64 x) y)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) y))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) (*.f64 x y)))) |
(+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 1 binary64) (*.f64 y #s(literal 5000000000000000/5641895835477563 binary64))) x)))) |
| 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 (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64))))) |
4 calls:
| 5.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 5.0ms | z |
| 4.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 4.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 86.3% | 3 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 90.3% | 2 | z |
| 90.3% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 90.3% | 2 | (exp.f64 z) |
Compiled 19 to 23 computations (-21.1% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
#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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.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 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (- (/ 5641895835477563/5000000000000000 y) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) (*.f64 (neg.f64 x) y)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) y))) |
(+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) (*.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 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) (*.f64 x y)))) |
3 calls:
| 5.0ms | z |
| 4.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 4.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.3% | 2 | z |
| 90.3% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 90.3% | 2 | (exp.f64 z) |
Compiled 7 to 13 computations (-85.7% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
#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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.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 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (- (/ 5641895835477563/5000000000000000 y) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) (*.f64 (neg.f64 x) y)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z))) y))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y x)))))) |
3 calls:
| 51.0ms | z |
| 4.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 3.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 90.3% | 2 | z |
| 90.3% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 90.3% | 2 | (exp.f64 z) |
Compiled 7 to 13 computations (-85.7% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
#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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.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 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (- (/ 5641895835477563/5000000000000000 y) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) (*.f64 (neg.f64 x) y)))))) |
(+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) 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) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) (*.f64 (neg.f64 x) y)))))) |
3 calls:
| 4.0ms | z |
| 3.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 3.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.8% | 3 | z |
| 89.8% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 89.8% | 3 | (exp.f64 z) |
Compiled 7 to 13 computations (-85.7% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
#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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.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 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (- (/ 5641895835477563/5000000000000000 y) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) (*.f64 (neg.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))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) (*.f64 (neg.f64 x) y)))))) |
3 calls:
| 4.0ms | z |
| 3.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 3.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.8% | 3 | z |
| 89.8% | 3 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 89.8% | 3 | (exp.f64 z) |
Compiled 7 to 13 computations (-85.7% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
#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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.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 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) #s(approx (- (/ 5641895835477563/5000000000000000 y) x) (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) 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))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
3 calls:
| 3.0ms | z |
| 3.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 3.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 89.2% | 3 | z |
| 87.7% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 87.7% | 2 | (exp.f64 z) |
Compiled 7 to 13 computations (-85.7% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
#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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.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)))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
3 calls:
| 3.0ms | z |
| 2.0ms | (exp.f64 z) |
| 2.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 87.7% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 87.7% | 2 | (exp.f64 z) |
| 89.2% | 3 | z |
Compiled 7 to 13 computations (-85.7% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
#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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (+.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) z) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
6 calls:
| 38.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 3.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 3.0ms | y |
| 3.0ms | z |
| 3.0ms | x |
| Accuracy | Segments | Branch |
|---|---|---|
| 85.0% | 3 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 74.7% | 3 | x |
| 79.7% | 3 | y |
| 79.3% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 79.3% | 2 | (exp.f64 z) |
| 81.1% | 2 | z |
Compiled 21 to 29 computations (-38.1% saved)
| Inputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
(+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
6 calls:
| 2.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 2.0ms | x |
| 2.0ms | z |
| 2.0ms | y |
| 1.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.7% | 1 | x |
| 69.9% | 3 | y |
| 71.3% | 2 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 71.3% | 2 | (exp.f64 z) |
| 71.6% | 2 | z |
| 74.2% | 3 | (+.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 |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
| Outputs |
|---|
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
5 calls:
| 1.0ms | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
| 1.0ms | z |
| 1.0ms | y |
| 1.0ms | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 1.0ms | (exp.f64 z) |
| Accuracy | Segments | Branch |
|---|---|---|
| 65.7% | 1 | y |
| 65.7% | 1 | (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) |
| 65.7% | 1 | (exp.f64 z) |
| 65.7% | 1 | z |
| 65.7% | 1 | (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) (exp.f64 z)) (*.f64 x y)))) |
Compiled 20 to 26 computations (-30% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9999999836900902 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0681747640251066e+140 | 5.205134444128524e+141 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0 | 1.0000000000012195 |
| 0.0ms | 0.0 | 0.9999999836900902 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9999999836900902 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9999999836900902 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 17.0ms | 3.320679020974182e+67 | 8.1105990192834e+75 |
| 51.0ms | -1674.8959164969258 | -1.630990986157929e-8 |
| 25.0ms | 304× | 0 | valid |
Compiled 541 to 478 computations (11.6% saved)
const: 5.0ms (29.1% of total)ival-exp: 4.0ms (23.3% of total)ival-mult: 4.0ms (23.3% of total)ival-div: 2.0ms (11.6% of total)ival-sub: 1.0ms (5.8% of total)ival-add: 1.0ms (5.8% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 1× | binary-search |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | -1674.8959164969258 | -1.630990986157929e-8 |
Compiled 255 to 246 computations (3.5% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9999999836900902 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9999999836900902 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9999999836900902 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9999999836900902 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 0.0 | 0.9999999836900902 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0007367391165887 | 1.0051810540104966 |
| 0.0ms | 0.0 | 0.9999999836900902 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 1.0007367391165887 | 1.0051810540104966 |
| 0.0ms | 0.0 | 0.9999999836900902 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 47.0ms | 2.5929295678172117e+76 | 2.5803826967353162e+82 |
| 1.0ms | -1674.8959164969258 | -1.630990986157929e-8 |
| 11.0ms | 144× | 0 | valid |
Compiled 346 to 376 computations (-8.7% saved)
ival-mult: 2.0ms (26% of total)const: 2.0ms (26% of total)ival-sub: 1.0ms (13% of total)ival-div: 1.0ms (13% of total)ival-exp: 1.0ms (13% of total)ival-add: 1.0ms (13% of total)ival-true: 0.0ms (0% of total)ival-assert: 0.0ms (0% of total)| 2× | binary-search |
| 1× | narrow-enough |
| 1× | narrow-enough |
| Time | Left | Right |
|---|---|---|
| 1.0ms | 2.5929295678172117e+76 | 2.5803826967353162e+82 |
| 1.0ms | -1674.8959164969258 | -1.630990986157929e-8 |
Compiled 346 to 376 computations (-8.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 2.984006321112174e+24 | 6.585743733249061e+31 |
| 0.0ms | -7.351931624059111 | -3.0319312657657884e-31 |
Compiled 15 to 16 computations (-6.7% saved)
| 2× | left-value |
| Time | Left | Right |
|---|---|---|
| 0.0ms | 7.124933636420806e-28 | 9.991746523456726e-26 |
| 0.0ms | -7.351931624059111 | -3.0319312657657884e-31 |
Compiled 15 to 16 computations (-6.7% saved)
| 1× | egg-herbie |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 181 | 1030 |
| 1 | 236 | 1030 |
| 2 | 258 | 1030 |
| 3 | 262 | 1030 |
| 4 | 263 | 1030 |
| 1× | saturated |
| Inputs |
|---|
(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))) (+.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 200000000000000011856760248162974007412724977534090657729700148965999155656947961304046593016036249138303584474586765896459394327029164802048 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 1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y 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))) (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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))))))) |
(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))) (+.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))))) |
(if (<=.f64 z #s(literal -180 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 154999999999999992086178378313420715075210194116346107871083546804224 binary64)) (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x))))) (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z) z)) z #s(literal 5641895835477563/5000000000000000 binary64)))))))) |
(if (<=.f64 z #s(literal -180 binary64)) (+.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) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z) z)) z #s(literal 5641895835477563/5000000000000000 binary64))))))) |
(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))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))) |
(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))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 #s(approx (+ (* 5641895835477563/10000000000000000 z) 5641895835477563/5000000000000000) (*.f64 #s(literal 5641895835477563/10000000000000000 binary64) z)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))) |
(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))) (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 #s(approx (exp z) (+.f64 #s(literal 1 binary64) z)) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(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))) (+.f64 x (/.f64 y (-.f64 (*.f64 #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (exp z) (+.f64 #s(literal 1 binary64) z))) (*.f64 x y))))) |
(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))) (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) (-.f64 #s(literal 5641895835477563/5000000000000000 binary64) (*.f64 y 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 1131529406376837/1125899906842624 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) #s(approx (/ (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) y) (-.f64 (/.f64 #s(literal 5641895835477563/5000000000000000 binary64) y) x)))) (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) (*.f64 (neg.f64 x) y)))))))) |
(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 1131529406376837/1125899906842624 binary64)) (+.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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) (*.f64 (neg.f64 x) y)))))))) |
(if (<=.f64 z #s(literal -180 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 79999999999999997388480600052764153781971228853199839306128196949064025775276032 binary64)) (+.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 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))))) |
(if (<=.f64 z #s(literal -180 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 79999999999999997388480600052764153781971228853199839306128196949064025775276032 binary64)) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) #s(literal 5641895835477563/5000000000000000 binary64)) (*.f64 x y)))) (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.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 -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 5000000000000000452984832 binary64)) (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(approx (- 5641895835477563/5000000000000000 (* y x)) #s(literal 5641895835477563/5000000000000000 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 -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 348449143727041/348449143727040986586495598010130648530944 binary64)) (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 z #s(literal 5641895835477563/5000000000000000 binary64)))))) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))))) |
(+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) |
| Outputs |
|---|
(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))) (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x (*.f64 (exp.f64 z) #s(literal 5641895835477563/5000000000000000 binary64)))))) |
(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) (+.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 200000000000000011856760248162974007412724977534090657729700148965999155656947961304046593016036249138303584474586765896459394327029164802048 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 200000000000000011856760248162974007412724977534090657729700148965999155656947961304046593016036249138303584474586765896459394327029164802048 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 1 binary64)) (+.f64 x (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y))) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y 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 1 binary64)) (+.f64 (/.f64 #s(literal 1 binary64) (/.f64 #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) (fma.f64 #s(literal 5641895835477563/5000000000000000 binary64) z (fma.f64 (neg.f64 y) x #s(literal 5641895835477563/5000000000000000 binary64)))) y)) x) #s(approx (+ x (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)))) (fma.f64 (/.f64 #s(literal 5000000000000000/5641895835477563 binary64) (exp.f64 z)) y 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))) (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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))))))) |
(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) (+.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (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)) |
(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))) (+.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))))) |
(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) (+.f64 (/.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 y x))) x)) |
(if (<=.f64 z #s(literal -180 binary64)) (+.f64 x #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x))) (if (<=.f64 z #s(literal 154999999999999992086178378313420715075210194116346107871083546804224 binary64)) (+.f64 x (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x))))) (+.f64 x (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z) z)) z #s(literal 5641895835477563/5000000000000000 binary64)))))))) |
(if (<=.f64 z #s(literal -180 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (if (<=.f64 z #s(literal 154999999999999992086178378313420715075210194116346107871083546804224 binary64)) (+.f64 (/.f64 y #s(approx (- (* 5641895835477563/5000000000000000 (exp z)) (* x y)) #s(approx (+ (* z 5641895835477563/5000000000000000) (- 5641895835477563/5000000000000000 (* y x))) (*.f64 (-.f64 (/.f64 (fma.f64 z #s(literal 5641895835477563/5000000000000000 binary64) #s(literal 5641895835477563/5000000000000000 binary64)) x) y) x)))) x) (+.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z) z)) z #s(literal 5641895835477563/5000000000000000 binary64))))) x))) |
(if (<=.f64 z #s(literal -180 binary64)) (+.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) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z) z)) z #s(literal 5641895835477563/5000000000000000 binary64))))))) |
(if (<=.f64 z #s(literal -180 binary64)) (+.f64 #s(approx (/ y (- (* 5641895835477563/5000000000000000 (exp z)) (* x y))) (/.f64 #s(literal -1 binary64) x)) x) (+.f64 (/.f64 y (fma.f64 (neg.f64 y) x #s(approx (* (exp z) 5641895835477563/5000000000000000) (fma.f64 #s(approx (+ (* (+ (* 5641895835477563/30000000000000000 z) 5641895835477563/10000000000000000) z) 5641895835477563/5000000000000000) (*.f64 (*.f64 #s(literal 5641895835477563/30000000000000000 binary64) z) z)) z #s(literal 5641895835477563/5000000000000000 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))) (+.f64 x (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 x y))))) |
(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) (+.f64 (/.f64 y (-.f64 #s(approx (* 5641895835477563/5000000000000000 (exp z)) (fma.f64 (fma.f64 #s(literal 5641895835477563/10000000000000000 binary64) z #s(literal 5641895835477563/5000000000000000 binary64)) z #s(literal 5641895835477563/5000000000000000 binary64))) (*.f64 y x))) x)) |
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(+.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) |
Useful iterations: 0 (0.0ms)
| Iter | Nodes | Cost |
|---|---|---|
| 0 | 57 | 455 |
| 0 | 88 | 436 |
| 1 | 406 | 424 |
| 2 | 3351 | 424 |
| 0 | 8625 | 409 |
| 0 | 413 | 9925 |
| 1 | 1247 | 9822 |
| 2 | 3289 | 9362 |
| 0 | 8499 | 8931 |
| 0 | 475 | 11031 |
| 1 | 1471 | 10910 |
| 2 | 3997 | 10420 |
| 0 | 8256 | 9945 |
| 0 | 316 | 1995 |
| 1 | 904 | 1975 |
| 2 | 2647 | 1891 |
| 0 | 8323 | 1801 |
| 0 | 37 | 260 |
| 0 | 62 | 260 |
| 1 | 279 | 260 |
| 2 | 2080 | 260 |
| 0 | 9266 | 260 |
| 0 | 10 | 36 |
| 0 | 16 | 36 |
| 1 | 57 | 36 |
| 2 | 451 | 36 |
| 3 | 7444 | 36 |
| 0 | 8118 | 35 |
| 1× | fuel |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
| 1× | node limit |
| 1× | iter limit |
Compiled 1 351 to 717 computations (46.9% saved)
Compiled 1 272 to 362 computations (71.5% saved)
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